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711.4308 | N-particle scattering matrix for electrons interacting on a quantum dot | We present a non-perturbative expression for the scattering matrix of $N$
particles interacting inside a quantum dot. Characterizing the dot by its
resonances, we find a compact form for the scattering matrix in a real-time
representation. We study the transmission probabilities and interaction-induced
orbital entanglement of two electrons incident on the dot in a spin-singlet
state.
| cond-mat.mes-hall cond-mat.str-el | we present a nonperturbative expression for the scattering matrix of n particles interacting inside a quantum dot characterizing the dot by its resonances we find a compact form for the scattering matrix in a realtime representation we study the transmission probabilities and interactioninduced orbital entanglement of two electrons incident on the dot in a spinsinglet state | [['we', 'present', 'a', 'nonperturbative', 'expression', 'for', 'the', 'scattering', 'matrix', 'of', 'n', 'particles', 'interacting', 'inside', 'a', 'quantum', 'dot', 'characterizing', 'the', 'dot', 'by', 'its', 'resonances', 'we', 'find', 'a', 'compact', 'form', 'for', 'the', 'scattering', 'matrix', 'in', 'a', 'realtime', 'representation', 'we', 'study', 'the', 'transmission', 'probabilities', 'and', 'interactioninduced', 'orbital', 'entanglement', 'of', 'two', 'electrons', 'incident', 'on', 'the', 'dot', 'in', 'a', 'spinsinglet', 'state']] | [-0.22126294359830873, 0.20653625935249562, -0.07555188523006759, 0.07134056902889695, 0.04766601620108953, -0.14990136288439057, 0.08760320341181276, 0.37011977657675743, -0.2039851807723088, -0.2267719801581864, -0.01766241156812092, -0.3335291976109147, -0.12970403504940414, 0.14288205682948632, 0.06829117275109249, 0.05744381451742291, 0.08187707965511695, 0.056149516121617386, -0.08645792426874063, -0.13400629881237233, 0.35895017081306185, -0.04005443877083183, 0.2054003310830532, 0.10450692300219089, 0.08754494910161677, 0.10875656506686937, 0.07210626910507147, -0.06797450755922389, -0.12015185897637691, 0.12440849111382184, 0.23735827786315764, 0.009901490802544035, 0.1927445864587623, -0.45201035269669126, -0.1647862229063841, 0.04064575087977573, 0.19540241806368744, 0.1501310931718243, -0.08148150774026622, -0.32033833492148134, -0.03381607140181586, -0.2177598001435399, -0.11114988796180114, -0.023900875164794604, 0.044306710262649825, -0.039922391051991975, -0.31569593206846286, 0.06463684364488083, 0.014811342103972234, -0.022052376780525913, -0.04979799724657953, -0.0366219973324665, 0.051929514771992605, 0.0872389534654628, -0.06949178003456577, -0.01762318841896818, 0.1749203557763914, -0.17143675505316683, -0.10422112678809624, 0.33018329912530525, -0.07743130477943591, -0.1972480859341366, 0.11863315410612683, -0.2203698285905245, -0.06539144744497857, 0.14172279058090811, 0.18220568472003965, 0.12232300555998725, -0.15051817281969956, 0.11110212719462911, -0.0554460491818775, 0.14672270222633546, 0.034531059042949765, 0.11486660143626588, 0.25583590287715197, 0.1592505928461573, 0.02339007895040725, 0.15366773304828843, -0.1273433323741691, -0.09946030777479921, -0.2894672750096236, -0.21766103395826317, -0.24269469158856996, 0.1368331595066203, -0.08046504011118875, -0.1739238702159907, 0.42407078323802644, 0.07249154526341174, 0.21874325468005346, 0.0033998566671341124, 0.2729920062369534, 0.18144086866024217, 0.008061023732547514, 0.055908341700809876, 0.2062810024279835, 0.19317346645402722, 0.016789274930488318, -0.34594095185665147, -0.004242392177859854, 0.03896311317969646] |
711.4309 | Knowware: the third star after Hardware and Software | This book proposes to separate knowledge from software and to make it a
commodity that is called knowware. The architecture, representation and
function of Knowware are discussed. The principles of knowware engineering and
its three life cycle models: furnace model, crystallization model and spiral
model are proposed and analyzed. Techniques of software/knowware co-engineering
are introduced. A software component whose knowledge is replaced by knowware is
called mixware. An object and component oriented development schema of mixware
is introduced. In particular, the tower model and ladder model for mixware
development are proposed and discussed. Finally, knowledge service and knowware
based Web service are introduced and compared with Web service. In summary,
knowware, software and hardware should be considered as three equally important
underpinnings of IT industry.
Ruqian Lu is a professor of computer science of the Institute of Mathematics,
Academy of Mathematics and System Sciences. He is a fellow of Chinese Academy
of Sciences. His research interests include artificial intelligence, knowledge
engineering and knowledge based software engineering. He has published more
than 100 papers and 10 books. He has won two first class awards from the
Academia Sinica and a National second class prize from the Ministry of Science
and Technology. He has also won the sixth Hua Loo-keng Mathematics Prize.
| cs.SE cs.AI cs.CY | this book proposes to separate knowledge from software and to make it a commodity that is called knowware the architecture representation and function of knowware are discussed the principles of knowware engineering and its three life cycle models furnace model crystallization model and spiral model are proposed and analyzed techniques of softwareknowware coengineering are introduced a software component whose knowledge is replaced by knowware is called mixware an object and component oriented development schema of mixware is introduced in particular the tower model and ladder model for mixware development are proposed and discussed finally knowledge service and knowware based web service are introduced and compared with web service in summary knowware software and hardware should be considered as three equally important underpinnings of it industry ruqian lu is a professor of computer science of the institute of mathematics academy of mathematics and system sciences he is a fellow of chinese academy of sciences his research interests include artificial intelligence knowledge engineering and knowledge based software engineering he has published more than 100 papers and 10 books he has won two first class awards from the academia sinica and a national second class prize from the ministry of science and technology he has also won the sixth hua lookeng mathematics prize | [['this', 'book', 'proposes', 'to', 'separate', 'knowledge', 'from', 'software', 'and', 'to', 'make', 'it', 'a', 'commodity', 'that', 'is', 'called', 'knowware', 'the', 'architecture', 'representation', 'and', 'function', 'of', 'knowware', 'are', 'discussed', 'the', 'principles', 'of', 'knowware', 'engineering', 'and', 'its', 'three', 'life', 'cycle', 'models', 'furnace', 'model', 'crystallization', 'model', 'and', 'spiral', 'model', 'are', 'proposed', 'and', 'analyzed', 'techniques', 'of', 'softwareknowware', 'coengineering', 'are', 'introduced', 'a', 'software', 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711.431 | Stellar evolution in real time: Period variations in galactic RR Lyr
stars | The times of maximum brightness collected in the GEOS RR Lyr database allowed
us to trace the period variations of a sample of 123 galactic RRab variables.
These data span a time baseline exceeding 100 years. Clear evidence of period
increases or decreases at constant rates has been found, suggesting
evolutionary effects. The observed rates are slightly larger than those
predicted by theoretical models; moreover, there is an unexpected large
percentage of RRab stars showing a period decrease. The new possibilities
offered by the use of robotic telecopes (TAROTs, REM) and of data from
satellite (CoRoT) are expected to speed up the project to measure stellar
evolution in real time. It is noteworthy that the outlines of this project have
been sketched during several GEOS meetings, where the different knowledge of
amateur and professional astronomers found a very profitable synthesis.
| astro-ph | the times of maximum brightness collected in the geos rr lyr database allowed us to trace the period variations of a sample of 123 galactic rrab variables these data span a time baseline exceeding 100 years clear evidence of period increases or decreases at constant rates has been found suggesting evolutionary effects the observed rates are slightly larger than those predicted by theoretical models moreover there is an unexpected large percentage of rrab stars showing a period decrease the new possibilities offered by the use of robotic telecopes tarots rem and of data from satellite corot are expected to speed up the project to measure stellar evolution in real time it is noteworthy that the outlines of this project have been sketched during several geos meetings where the different knowledge of amateur and professional astronomers found a very profitable synthesis | [['the', 'times', 'of', 'maximum', 'brightness', 'collected', 'in', 'the', 'geos', 'rr', 'lyr', 'database', 'allowed', 'us', 'to', 'trace', 'the', 'period', 'variations', 'of', 'a', 'sample', 'of', '123', 'galactic', 'rrab', 'variables', 'these', 'data', 'span', 'a', 'time', 'baseline', 'exceeding', '100', 'years', 'clear', 'evidence', 'of', 'period', 'increases', 'or', 'decreases', 'at', 'constant', 'rates', 'has', 'been', 'found', 'suggesting', 'evolutionary', 'effects', 'the', 'observed', 'rates', 'are', 'slightly', 'larger', 'than', 'those', 'predicted', 'by', 'theoretical', 'models', 'moreover', 'there', 'is', 'an', 'unexpected', 'large', 'percentage', 'of', 'rrab', 'stars', 'showing', 'a', 'period', 'decrease', 'the', 'new', 'possibilities', 'offered', 'by', 'the', 'use', 'of', 'robotic', 'telecopes', 'tarots', 'rem', 'and', 'of', 'data', 'from', 'satellite', 'corot', 'are', 'expected', 'to', 'speed', 'up', 'the', 'project', 'to', 'measure', 'stellar', 'evolution', 'in', 'real', 'time', 'it', 'is', 'noteworthy', 'that', 'the', 'outlines', 'of', 'this', 'project', 'have', 'been', 'sketched', 'during', 'several', 'geos', 'meetings', 'where', 'the', 'different', 'knowledge', 'of', 'amateur', 'and', 'professional', 'astronomers', 'found', 'a', 'very', 'profitable', 'synthesis']] | [-0.0900392312441777, 0.14738537779213284, -0.09195873837249921, 0.07982198730451932, -0.11525769215887008, -0.1009246280612559, 0.10705758859335944, 0.38814843672773114, -0.20946297533552843, -0.40348735500289046, 0.09339756053109802, -0.30248881070313643, -0.07304619279086078, 0.25913427459971095, -0.09464077530698715, 0.009410727818064608, 0.1100803944332849, 0.0063680922612547874, -0.051831536303760244, -0.32394618521431, 0.19809819058602865, 0.0662865035937748, 0.2255145976913796, -0.06068334069551792, 0.05502754913649751, -0.08800262203305095, -0.11967862157325726, -0.042357351806392704, -0.12092194039286223, 0.04485845850254207, 0.27000931951005297, 0.17874642444329095, 0.2794746082863244, -0.37834066514614795, -0.17984754504446965, 0.09315004529755401, 0.14636785746130254, 0.052349892060231905, -0.03833365809860761, -0.2622701855059173, 0.052348632034778166, -0.17103618845019652, -0.1748782631576709, 0.009414427292000071, 0.15018393127315177, 0.013107311844393827, -0.20846493207879932, 0.07086251867155585, -0.003159707747872217, 0.16447242361871336, -0.09369892764505863, -0.16840056153149277, -0.03686817885929908, 0.13850886020573208, 0.11604833657907294, 0.0879130782726123, 0.07258421455280505, -0.07567993137585606, -0.08092838818033604, 0.3587490470971966, -0.08047981877978705, 0.008251820940632319, 0.1904849185906958, -0.18837973256797894, -0.13638815314343578, 0.1493604459354411, 0.18381138560294674, 0.11195394525344929, -0.1724918993844556, 0.00895118692373533, -0.0039089481224832325, 0.2211556068716058, 0.09757248707076845, 0.020683076293410166, 0.2454313814350694, 0.17932569972860316, 0.03396726829553212, 0.07343008112418803, -0.17433894462073626, -0.09837617284358492, -0.2092319937588215, -0.10023959566319389, -0.1220911782592589, 0.0382476161500655, -0.10906170342987288, -0.06462305788949564, 0.3912803015563691, 0.11769691852353298, 0.16856033388066335, 0.053441143208318324, 0.23829026072475035, 0.07467510663242875, 0.14390301068836023, 0.08955798658839279, 0.2964476028025366, 0.07749600801448189, 0.14764332389661475, -0.1941788855187622, 0.12412245315499604, -0.07449373575534833] |
711.4311 | Can B(l^p) ever be amenable? | It is known that ${\cal B}(\ell^p)$ is not amenable for $p =1,2,\infty$, but
whether or not ${\cal B}(\ell^p)$ is amenable for $p \in (1,\infty) \setminus
\{2 \}$ is an open problem. We show that, if ${\cal B}(\ell^p)$ is amenable for
$p \in (1,\infty)$, then so are $\ell^\infty({\cal B}(\ell^p))$ and
$\ell^\infty({\cal K}(\ell^p))$. Moreover, if $\ell^\infty({\cal K}(\ell^p))$
is amenable so is $\ell^\infty(\mathbb{I},{\cal K}(E))$ for any index set
$\mathbb I$ and for any infinite-dimensional ${\cal L}^p$-space $E$; in
particular, if $\ell^\infty({\cal K}(\ell^p))$ is amenable for $p \in
(1,\infty)$, then so is $\ell^\infty({\cal K}(\ell^p \oplus \ell^2))$. We show
that $\ell^\infty({\cal K}(\ell^p \oplus \ell^2))$ is not amenable for $p
=1,\infty$, but also that our methods fail us if $p \in (1,\infty)$. Finally,
for $p \in (1,2)$ and a free ultrafilter $\cal U$ over $\posints$, we exhibit a
closed left ideal of $({\cal K}(\ell^p))_{\cal U}$ lacking a right approximate
identity, but enjoying a certain, very weak complementation property.
| math.FA | it is known that cal bellp is not amenable for p 12infty but whether or not cal bellp is amenable for p in 1infty setminus 2 is an open problem we show that if cal bellp is amenable for p in 1infty then so are ellinftycal bellp and ellinftycal kellp moreover if ellinftycal kellp is amenable so is ellinftymathbbical ke for any index set mathbb i and for any infinitedimensional cal lpspace e in particular if ellinftycal kellp is amenable for p in 1infty then so is ellinftycal kellp oplus ell2 we show that ellinftycal kellp oplus ell2 is not amenable for p 1infty but also that our methods fail us if p in 1infty finally for p in 12 and a free ultrafilter cal u over posints we exhibit a closed left ideal of cal kellp_cal u lacking a right approximate identity but enjoying a certain very weak complementation property | [['it', 'is', 'known', 'that', 'cal', 'bellp', 'is', 'not', 'amenable', 'for', 'p', '12infty', 'but', 'whether', 'or', 'not', 'cal', 'bellp', 'is', 'amenable', 'for', 'p', 'in', '1infty', 'setminus', '2', 'is', 'an', 'open', 'problem', 'we', 'show', 'that', 'if', 'cal', 'bellp', 'is', 'amenable', 'for', 'p', 'in', '1infty', 'then', 'so', 'are', 'ellinftycal', 'bellp', 'and', 'ellinftycal', 'kellp', 'moreover', 'if', 'ellinftycal', 'kellp', 'is', 'amenable', 'so', 'is', 'ellinftymathbbical', 'ke', 'for', 'any', 'index', 'set', 'mathbb', 'i', 'and', 'for', 'any', 'infinitedimensional', 'cal', 'lpspace', 'e', 'in', 'particular', 'if', 'ellinftycal', 'kellp', 'is', 'amenable', 'for', 'p', 'in', '1infty', 'then', 'so', 'is', 'ellinftycal', 'kellp', 'oplus', 'ell2', 'we', 'show', 'that', 'ellinftycal', 'kellp', 'oplus', 'ell2', 'is', 'not', 'amenable', 'for', 'p', '1infty', 'but', 'also', 'that', 'our', 'methods', 'fail', 'us', 'if', 'p', 'in', '1infty', 'finally', 'for', 'p', 'in', '12', 'and', 'a', 'free', 'ultrafilter', 'cal', 'u', 'over', 'posints', 'we', 'exhibit', 'a', 'closed', 'left', 'ideal', 'of', 'cal', 'kellp_cal', 'u', 'lacking', 'a', 'right', 'approximate', 'identity', 'but', 'enjoying', 'a', 'certain', 'very', 'weak', 'complementation', 'property']] | [-0.11530812120071386, 0.15690528428132058, -0.06528698459638886, 0.08691449502539644, -0.09657439573139355, -0.23100881856186567, -0.001080468120808537, 0.43643283262546806, -0.31381307337810666, -0.08503190278881104, 0.11236427883724556, -0.30413265068184686, -0.09439998952281736, 0.18007123689135737, -0.14175588678650408, 0.01737102381318707, 0.06746182289931017, 0.14991013297588546, -0.030999794064366537, -0.22288310057735322, 0.2578124836955622, -0.10901570598267622, 0.1261382483487093, 0.06703874565082023, 0.036195278126821925, -0.02073521732440772, 0.100498353039871, -0.014485235272503987, -0.21157109088557804, 0.005860566934790915, 0.30384723483458964, 0.1638408261681655, 0.2465575035485263, -0.3515603970736265, -0.06907674166172542, 0.27641579503825914, 0.18610673542197392, -0.10877721370952959, -0.016202633508254547, -0.21058203181805643, 0.21357703917483623, -0.17229342269648268, -0.08217209673839042, -0.12320548844070651, 0.22136994590038886, -0.07700739421479001, -0.4190772650731929, 0.04199709162895562, 0.19022148550091614, 0.05223311185585083, -0.02677919708720937, -0.11190278046116284, -0.0618460235796315, 0.011729579297762766, -0.04514762794762548, 0.1292545787315199, 0.022847570972894696, 0.003253386733499733, -0.04332070230786387, 0.4224270260074755, -0.0037491050933494007, -0.2560895616629136, 0.09396378754644429, -0.2113025229537507, -0.21507842312378153, 0.08234551380312927, 0.0013161664451094898, 0.16736217223523134, -0.005636036100268767, 0.3502480450540158, -0.1341125905477187, 0.16242424485106902, 0.04963244617023077, 0.010944818133941374, 0.024162140624547326, 0.0592071168310311, 0.16571088932215464, 0.004267194311486909, 0.04289025745379764, 0.10098500058331804, -0.3643019017197091, -0.15199261537841144, -0.15028079455982693, 0.17347547281855982, -0.011761723767129887, -0.13772077091365448, 0.22499840464946386, 0.09642908262950997, 0.1375915950472542, 0.10709369972952314, 0.16812654982346134, 0.09721154208317465, 0.01736744089253448, 0.15977162223409963, 0.1333130204143959, 0.11260986571338631, -0.054354795554457734, -0.15997413013797454, -0.009940881417384622, 0.1184863030841272] |
711.4312 | Geometric Scaling at RHIC and LHC | We present a new phenomenological model of the dipole scattering amplitude to
demonstrate that the RHIC data for hadron production in d-Au collisions for all
available rapidities are compatible with geometric scaling, just like the
small-x inclusive DIS data. A detailed comparison with earlier geometric
scaling violating models of the dipole scattering amplitude in terms of an
anomalous dimension gamma is made. In order to establish whether the geometric
scaling violations expected from small-x evolution equations are present in the
data a much larger range in transverse momentum and rapidity must be probed.
Predictions for hadron production in p-Pb and p-p collisions at LHC are given.
We point out that the fall-off of the transverse momentum distribution at LHC
is a sensitive probe of the variation of gamma in a region where x is much
smaller than at RHIC. In this way, the expectation for the rise of gamma from
small-x evolution can be tested.
| hep-ph | we present a new phenomenological model of the dipole scattering amplitude to demonstrate that the rhic data for hadron production in dau collisions for all available rapidities are compatible with geometric scaling just like the smallx inclusive dis data a detailed comparison with earlier geometric scaling violating models of the dipole scattering amplitude in terms of an anomalous dimension gamma is made in order to establish whether the geometric scaling violations expected from smallx evolution equations are present in the data a much larger range in transverse momentum and rapidity must be probed predictions for hadron production in ppb and pp collisions at lhc are given we point out that the falloff of the transverse momentum distribution at lhc is a sensitive probe of the variation of gamma in a region where x is much smaller than at rhic in this way the expectation for the rise of gamma from smallx evolution can be tested | [['we', 'present', 'a', 'new', 'phenomenological', 'model', 'of', 'the', 'dipole', 'scattering', 'amplitude', 'to', 'demonstrate', 'that', 'the', 'rhic', 'data', 'for', 'hadron', 'production', 'in', 'dau', 'collisions', 'for', 'all', 'available', 'rapidities', 'are', 'compatible', 'with', 'geometric', 'scaling', 'just', 'like', 'the', 'smallx', 'inclusive', 'dis', 'data', 'a', 'detailed', 'comparison', 'with', 'earlier', 'geometric', 'scaling', 'violating', 'models', 'of', 'the', 'dipole', 'scattering', 'amplitude', 'in', 'terms', 'of', 'an', 'anomalous', 'dimension', 'gamma', 'is', 'made', 'in', 'order', 'to', 'establish', 'whether', 'the', 'geometric', 'scaling', 'violations', 'expected', 'from', 'smallx', 'evolution', 'equations', 'are', 'present', 'in', 'the', 'data', 'a', 'much', 'larger', 'range', 'in', 'transverse', 'momentum', 'and', 'rapidity', 'must', 'be', 'probed', 'predictions', 'for', 'hadron', 'production', 'in', 'ppb', 'and', 'pp', 'collisions', 'at', 'lhc', 'are', 'given', 'we', 'point', 'out', 'that', 'the', 'falloff', 'of', 'the', 'transverse', 'momentum', 'distribution', 'at', 'lhc', 'is', 'a', 'sensitive', 'probe', 'of', 'the', 'variation', 'of', 'gamma', 'in', 'a', 'region', 'where', 'x', 'is', 'much', 'smaller', 'than', 'at', 'rhic', 'in', 'this', 'way', 'the', 'expectation', 'for', 'the', 'rise', 'of', 'gamma', 'from', 'smallx', 'evolution', 'can', 'be', 'tested']] | [-0.06691002527912779, 0.21313063240123747, -0.183100814122947, 0.14906762007533783, -0.044746364433799056, -0.08553638445934461, -0.04813876893566621, 0.3343637326957598, -0.21236160892106953, -0.25280204664074607, -0.006679571311800711, -0.33524567623652757, 0.042826610905749185, 0.1982403933025536, 0.051380969480153235, 0.09414472587767148, 0.08216076439486876, 0.007874359271579211, -0.06307555215673581, -0.1882879121559522, 0.31386830258603776, 0.08860711452791527, 0.2370384732531684, 0.12016306004802425, 0.03870358651789326, 0.0396625297793728, -0.03511967828061672, 0.02083089288564459, -0.13153967754962298, 0.06664795615417402, 0.2790446938799681, 0.02909771844053701, 0.12222883536690665, -0.3790884395580619, -0.12588086491075134, 0.11969470908084223, 0.1678537480262739, 0.10722061598620888, -0.041736409656943814, -0.23369864230194398, 0.06923216466656736, -0.20567375899803253, -0.16594367157667875, -0.07314193866125518, 0.03813408392691805, -0.013834522261975273, -0.33505824700358416, 0.10998850118316289, -0.04115700983111897, 0.07500569224057178, 0.012000781273649584, -0.16991131576679408, -0.06269932836744814, 0.0028352261228006214, 0.08177852616420075, 0.10917283239166042, 0.13730739211483348, -0.18572205744510997, -0.1318841868951436, 0.3751589139833325, -0.00691671401174033, -0.15062319499951216, 0.14598171863434536, -0.2867033065206582, -0.16263863903680637, 0.15650246054715206, 0.25950350142835127, 0.07134264391666699, -0.2071006576740934, 0.10308816255701166, -0.010174927058359307, 0.15606938096818573, 0.09028542016843154, 0.08758314951368036, 0.1832129110852557, 0.22695664762248915, 0.009044809846748268, 0.08455328035859332, -0.11724232624495222, -0.08133773989149279, -0.4350091902201154, -0.07766196985218314, -0.11865893865920484, 0.08077634187986053, -0.11334107785557036, -0.05588550383164998, 0.3364334199277143, 0.13873964263606936, 0.30389008601346323, 0.03295511292714265, 0.2909852143617407, 0.1234005602587375, 0.0811857579155795, 0.10185440838817628, 0.3041559621331192, 0.10639553381911208, 0.2007533415280763, -0.2247164702839068, 0.08205704214051365, 0.03130883215475948] |
711.4313 | First Observation and Measurement of the Decay K+- -> pi+- e+ e- gamma | Using the full data set of the NA48/2 experiment, the decay K+- -> pi+- e+ e-
gamma is observed for the first time, selecting 120 candidates with 7.3 +- 1.7
estimated background events. With K+- -> pi+- pi0D as normalisation channel,
the branching ratio is determined in a model-independent way to be Br(K+- ->
pi+- e+ e- gamma, m_eegamma > 260 MeV/c^2) = (1.19 +- 0.12_stat +- 0.04_syst) x
10^-8. This measured value and the spectrum of the e+ e- gamma invariant mass
allow a comparison with predictions of Chiral Perturbation Theory.
| hep-ex | using the full data set of the na482 experiment the decay k pi e e gamma is observed for the first time selecting 120 candidates with 73 17 estimated background events with k pi pi0d as normalisation channel the branching ratio is determined in a modelindependent way to be brk pi e e gamma m_eegamma 260 mevc2 119 012_stat 004_syst x 108 this measured value and the spectrum of the e e gamma invariant mass allow a comparison with predictions of chiral perturbation theory | [['using', 'the', 'full', 'data', 'set', 'of', 'the', 'na482', 'experiment', 'the', 'decay', 'k', 'pi', 'e', 'e', 'gamma', 'is', 'observed', 'for', 'the', 'first', 'time', 'selecting', '120', 'candidates', 'with', '73', '17', 'estimated', 'background', 'events', 'with', 'k', 'pi', 'pi0d', 'as', 'normalisation', 'channel', 'the', 'branching', 'ratio', 'is', 'determined', 'in', 'a', 'modelindependent', 'way', 'to', 'be', 'brk', 'pi', 'e', 'e', 'gamma', 'm_eegamma', '260', 'mevc2', '119', '012_stat', '004_syst', 'x', '108', 'this', 'measured', 'value', 'and', 'the', 'spectrum', 'of', 'the', 'e', 'e', 'gamma', 'invariant', 'mass', 'allow', 'a', 'comparison', 'with', 'predictions', 'of', 'chiral', 'perturbation', 'theory']] | [-0.15689570725137345, 0.18325339391168843, -0.10969217960359301, 0.03150115708008454, -0.03370246334887314, -0.13231113906268302, 0.1328194488972857, 0.2899548889296811, -0.1982944371326395, -0.36396094152658454, -0.04379898983070899, -0.3480098132134938, 0.04492120677605271, 0.14579096128709795, 0.09245221687071933, 0.08927713289697904, 0.0654450986227702, 0.07072553184258229, -0.019216362453667764, -0.13667315028880428, 0.1658351503244442, 0.07679564756818297, 0.21218650580224832, -0.00686803075524683, 0.011110109085410198, 0.006635497435615058, -0.08744071314974529, -0.07349054156461866, -0.23260317533276975, 0.0432146529371782, 0.24484657297172108, 0.08721490671131306, 0.12049860579938423, -0.22828704275463413, -0.07229079211857624, 0.17721760983965018, 0.08773520571838428, -0.08389793718006552, 0.020102991438584357, -0.35098047054758885, 0.17319724967322744, -0.16110987366438367, -0.10025422038260574, 0.001092802065924355, 0.15764813148984458, -0.099483868209418, -0.3392271383938084, 0.09687521562857622, -0.02735754285325728, 0.05745250606773103, -0.015558283253595597, -0.22924631204251655, -0.020934254019066872, 0.012306740212186081, 0.03867658038294261, 0.17198281380824926, 0.19344674207542728, -0.024390362697176454, -0.13540875443868572, 0.3996590915158754, -0.14788185044407573, -0.11319230945046889, 0.08759782940402014, -0.2156278728961763, -0.10896758336528409, 0.2398315175527298, 0.13755862697640933, 0.10229641245110188, -0.16323226803868282, 0.15339213189393533, -0.0398137758112592, 0.16716606219770477, 0.09124844784780246, -0.018091055240890965, 0.14998693142949446, 0.14753768002620057, -0.009289359753360836, -0.009711182497373624, -0.1665532548923227, 0.07204793059698693, -0.3751607213038724, -0.0966749208661296, -0.09279858932983721, 0.169328663253975, -0.06292399220582433, -0.02860739417714862, 0.3160561351787026, 0.009410369085011685, 0.34388082048560425, 0.05465923369544127, 0.22801058023895432, 0.1376786869015366, -0.013316838649987447, 0.06130667803127591, 0.24842009498033582, 0.22578829604132875, 0.04476391491139444, -0.20580805698409677, 0.0035024921625580003, -0.03467838329308462] |
711.4314 | Two-Loop Superstrings VII, Cohomology of Chiral Amplitudes | The relation between superholomorphicity and holomorphicity of chiral
superstring N-point amplitudes for NS bosons on a genus 2 Riemann surface is
shown to be encoded in a hybrid cohomology theory, incorporating elements of
both de Rham and Dolbeault cohomologies. A constructive algorithm is provided
which shows that, for arbitrary N and for each fixed even spin structure, the
hybrid cohomology classes of the chiral amplitudes of the N-point function on a
surface of genus 2 always admit a holomorphic representative. Three key
ingredients in the derivation are a classification of all kinematic invariants
for the N-point function, a new type of 3-point Green's function, and a
recursive construction by monodromies of certain sections of vector bundles
over the moduli space of Riemann surfaces, holomorphic in all but exactly one
or two insertion points.
| hep-th math.CV | the relation between superholomorphicity and holomorphicity of chiral superstring npoint amplitudes for ns bosons on a genus 2 riemann surface is shown to be encoded in a hybrid cohomology theory incorporating elements of both de rham and dolbeault cohomologies a constructive algorithm is provided which shows that for arbitrary n and for each fixed even spin structure the hybrid cohomology classes of the chiral amplitudes of the npoint function on a surface of genus 2 always admit a holomorphic representative three key ingredients in the derivation are a classification of all kinematic invariants for the npoint function a new type of 3point greens function and a recursive construction by monodromies of certain sections of vector bundles over the moduli space of riemann surfaces holomorphic in all but exactly one or two insertion points | [['the', 'relation', 'between', 'superholomorphicity', 'and', 'holomorphicity', 'of', 'chiral', 'superstring', 'npoint', 'amplitudes', 'for', 'ns', 'bosons', 'on', 'a', 'genus', '2', 'riemann', 'surface', 'is', 'shown', 'to', 'be', 'encoded', 'in', 'a', 'hybrid', 'cohomology', 'theory', 'incorporating', 'elements', 'of', 'both', 'de', 'rham', 'and', 'dolbeault', 'cohomologies', 'a', 'constructive', 'algorithm', 'is', 'provided', 'which', 'shows', 'that', 'for', 'arbitrary', 'n', 'and', 'for', 'each', 'fixed', 'even', 'spin', 'structure', 'the', 'hybrid', 'cohomology', 'classes', 'of', 'the', 'chiral', 'amplitudes', 'of', 'the', 'npoint', 'function', 'on', 'a', 'surface', 'of', 'genus', '2', 'always', 'admit', 'a', 'holomorphic', 'representative', 'three', 'key', 'ingredients', 'in', 'the', 'derivation', 'are', 'a', 'classification', 'of', 'all', 'kinematic', 'invariants', 'for', 'the', 'npoint', 'function', 'a', 'new', 'type', 'of', '3point', 'greens', 'function', 'and', 'a', 'recursive', 'construction', 'by', 'monodromies', 'of', 'certain', 'sections', 'of', 'vector', 'bundles', 'over', 'the', 'moduli', 'space', 'of', 'riemann', 'surfaces', 'holomorphic', 'in', 'all', 'but', 'exactly', 'one', 'or', 'two', 'insertion', 'points']] | [-0.21724604118075644, 0.1232294857860931, -0.10528176415457645, 0.11310847368220107, -0.06340207894875978, -0.11443676400195921, -0.021339330266610803, 0.2985849031529417, -0.23563961525250113, -0.23487016151546303, 0.04780296958139815, -0.23205970368122286, -0.20302280974856607, 0.1967122098660294, -0.030234452210028063, 0.05311001720838249, 0.02299956552627863, 0.058950286489121165, -0.13517732513983818, -0.2839197560308755, 0.4250266552571151, -0.0904109407195144, 0.23254406036611533, 0.07608654557473281, 0.13528300482060082, 0.04203029474504574, -0.016647856437361264, -0.03900101857112587, -0.09033930289875901, 0.12524706153128523, 0.30446385640199436, 0.05249387356734863, 0.1280265437936495, -0.4090311587929274, -0.17510190899426534, 0.13507228101265023, 0.13016992137647432, 0.05414287661375111, 0.02721517916087936, -0.22329308331774717, 0.09406726351572257, -0.11886997901919213, -0.16361583454294526, -0.07902558529608403, 0.04527488389320559, 0.0001500106485433538, -0.2343304863849577, 0.01415054035147257, 0.050512959602091345, 0.08417532391930846, -0.06766119395968306, -0.13316094389566305, -0.1291186336399705, 0.07868462626533018, -0.012790125374908022, 0.10613860470369797, 0.07791021607011896, -0.1659928284599587, -0.14306576113273023, 0.3214674463149894, -0.06484931919751971, -0.2762333766387945, 0.10396606395035192, -0.14643164882859724, -0.18825631302597962, 0.1319675931326029, 0.09309418606007415, 0.18162358501418072, -0.0755889580914024, 0.18078220447800544, -0.012932483576040602, 0.11622550920406921, 0.14353620311400542, 0.012393029671247032, 0.21836324877839422, 0.09750506020800183, 0.05074294619032915, 0.07758868918807077, -0.03095153412979209, -0.07889111251146956, -0.4073016477932194, -0.23862789086067068, -0.13380081906286773, 0.11928321253226111, -0.16395444739354195, -0.24396053974223006, 0.43614350136186025, 0.022516512147183566, 0.20278785990156006, 0.15269152871703476, 0.24467900989464286, 0.08475348535417156, 0.08962261155388798, 0.05312038461720063, 0.1415454560686185, 0.20181237045626127, -0.040345107474202065, -0.16415606318817785, -0.052434328036862564, 0.24686142442056513] |
711.4315 | A Simple Baryon Triality Model for Neutrino Masses | We make a simple ansatz for the supersymmetric lepton-number violating Yukawa
couplings, by relating them to the corresponding Higgs Yukawa couplings. This
reduces the free B$_3$ parameters from 36 to 6. We fit these parameters to
solve the solar and atmospheric neutrino anomalies in terms of neutrino
oscillations. The resulting couplings are consistent with the stringent
low-energy bounds. We investigate the resulting LHC collider signals for a stau
LSP scenario.
| hep-ph | we make a simple ansatz for the supersymmetric leptonnumber violating yukawa couplings by relating them to the corresponding higgs yukawa couplings this reduces the free b_3 parameters from 36 to 6 we fit these parameters to solve the solar and atmospheric neutrino anomalies in terms of neutrino oscillations the resulting couplings are consistent with the stringent lowenergy bounds we investigate the resulting lhc collider signals for a stau lsp scenario | [['we', 'make', 'a', 'simple', 'ansatz', 'for', 'the', 'supersymmetric', 'leptonnumber', 'violating', 'yukawa', 'couplings', 'by', 'relating', 'them', 'to', 'the', 'corresponding', 'higgs', 'yukawa', 'couplings', 'this', 'reduces', 'the', 'free', 'b_3', 'parameters', 'from', '36', 'to', '6', 'we', 'fit', 'these', 'parameters', 'to', 'solve', 'the', 'solar', 'and', 'atmospheric', 'neutrino', 'anomalies', 'in', 'terms', 'of', 'neutrino', 'oscillations', 'the', 'resulting', 'couplings', 'are', 'consistent', 'with', 'the', 'stringent', 'lowenergy', 'bounds', 'we', 'investigate', 'the', 'resulting', 'lhc', 'collider', 'signals', 'for', 'a', 'stau', 'lsp', 'scenario']] | [-0.10245842516555317, 0.27705994149104557, 0.03600501670236034, 0.21798957401853322, -0.1318249979122941, -0.2014803615531751, 0.06204161323922952, 0.2518877135855811, -0.20225273527071944, -0.3494518133412514, 0.025249186878292158, -0.30045620830995695, -0.04749790824550603, 0.16733561667746732, 0.051214823100183694, 0.07980751181021332, 0.08081781878136099, -0.031870180107320525, -0.12108791524411312, -0.25193230834390434, 0.23458747609651515, 0.054439375310071876, 0.1674708543145763, 0.0778556190364595, 0.05818977250185396, -0.04960310591517814, -0.030921783324863228, -0.10896421442739665, -0.1698588856680934, 0.09649541319480964, 0.1797992220580844, 0.06675842723842444, 0.0029844399674662523, -0.3853663701031889, -0.141847448689597, 0.2013208106426256, 0.14396230803935656, 0.09261807510629297, -0.007817590409623725, -0.2991483188367316, 0.0627930170457278, -0.21816481272024768, -0.1295155983019088, -0.06641586301848293, -0.07130078772482062, -0.10182075026844228, -0.3941534703331334, 0.10246489887192313, -0.10965295673481056, -0.023481572206531253, -0.008240971987002662, -0.16192451825564994, -0.029968912985974126, 0.01836279681218522, 0.18999228241986463, -0.08906148594271923, 0.14621431353901113, -0.1790845105723877, -0.12277991117111274, 0.42429746756596226, -0.10428006673630859, -0.17602817102534962, 0.16426999978055912, -0.13754945137271923, -0.17482381041294762, 0.11522271651109414, 0.1841527060938201, 0.03217812881671957, -0.23024714664955223, 0.2273670892089805, -0.0465052877020623, 0.13603006210178137, 0.07579184342840953, 0.020484415082527057, 0.2604981437857662, 0.1709255122247019, 0.0946330713241228, 0.020557680779269765, -0.09396071666560601, -0.0331034640049828, -0.4337024000764359, -0.056236339799527614, -0.03304617063009313, 0.06739612560985343, -0.11504923151119978, -0.0922680643237462, 0.4643831762418683, 0.16764068135858645, 0.25125139553898146, 0.05939217054152063, 0.2599163079900401, 0.0954232811262565, 0.09658132023469079, 0.013413707077727719, 0.37364843443834356, 0.1629746562901086, 0.09775246867377843, -0.2857921860679718, -0.029050070892221162, 0.11554567538467901] |
711.4316 | Singular Moduli of Shimura Curves | The $j$-function acts as a parametrization of the classical modular curve.
Its values at complex multiplication (CM) points are called singular moduli and
are algebraic integers. A Shimura curve is a generalization of the modular
curve and, if the Shimura curve has genus 0, a rational parameterizing function
exists and when evaluated at a CM point is again algebraic over $\mathbb{Q}$.
This paper shows that the coordinate maps for the Shimura curves associated to
the quaternion algebras with discriminants 6 and 10 are Borcherds lifts of
vector-valued modular forms. This property is then used to explicitly compute
the rational norms of singular moduli on these curves. This method not only
verifies the conjectural values for the rational CM points, but also provides a
way of algebraically calculating the norms of CM points on these Shimura curves
with arbitrarily large negative discriminant.
| math.NT | the jfunction acts as a parametrization of the classical modular curve its values at complex multiplication cm points are called singular moduli and are algebraic integers a shimura curve is a generalization of the modular curve and if the shimura curve has genus 0 a rational parameterizing function exists and when evaluated at a cm point is again algebraic over mathbbq this paper shows that the coordinate maps for the shimura curves associated to the quaternion algebras with discriminants 6 and 10 are borcherds lifts of vectorvalued modular forms this property is then used to explicitly compute the rational norms of singular moduli on these curves this method not only verifies the conjectural values for the rational cm points but also provides a way of algebraically calculating the norms of cm points on these shimura curves with arbitrarily large negative discriminant | [['the', 'jfunction', 'acts', 'as', 'a', 'parametrization', 'of', 'the', 'classical', 'modular', 'curve', 'its', 'values', 'at', 'complex', 'multiplication', 'cm', 'points', 'are', 'called', 'singular', 'moduli', 'and', 'are', 'algebraic', 'integers', 'a', 'shimura', 'curve', 'is', 'a', 'generalization', 'of', 'the', 'modular', 'curve', 'and', 'if', 'the', 'shimura', 'curve', 'has', 'genus', '0', 'a', 'rational', 'parameterizing', 'function', 'exists', 'and', 'when', 'evaluated', 'at', 'a', 'cm', 'point', 'is', 'again', 'algebraic', 'over', 'mathbbq', 'this', 'paper', 'shows', 'that', 'the', 'coordinate', 'maps', 'for', 'the', 'shimura', 'curves', 'associated', 'to', 'the', 'quaternion', 'algebras', 'with', 'discriminants', '6', 'and', '10', 'are', 'borcherds', 'lifts', 'of', 'vectorvalued', 'modular', 'forms', 'this', 'property', 'is', 'then', 'used', 'to', 'explicitly', 'compute', 'the', 'rational', 'norms', 'of', 'singular', 'moduli', 'on', 'these', 'curves', 'this', 'method', 'not', 'only', 'verifies', 'the', 'conjectural', 'values', 'for', 'the', 'rational', 'cm', 'points', 'but', 'also', 'provides', 'a', 'way', 'of', 'algebraically', 'calculating', 'the', 'norms', 'of', 'cm', 'points', 'on', 'these', 'shimura', 'curves', 'with', 'arbitrarily', 'large', 'negative', 'discriminant']] | [-0.2171389226692709, 0.039235694416475, -0.17686181802778167, 0.07748381215550587, -0.10903951878401827, -0.16558113413142925, 0.005552218355905555, 0.2922821299615481, -0.335600046123913, -0.18522488992951863, 0.09412690862131483, -0.26348494552891183, -0.17980978075177112, 0.293179548996111, -0.13685643804756634, 0.02223655309487656, 0.025359498538367505, 0.07453153283229587, -0.13978487042155355, -0.3748714383336524, 0.427238875484847, -0.041518037612401346, 0.19463030703147835, 0.028720358677261266, 0.13801260603961688, 0.0007685389153408348, 0.030884825122536073, -0.09500958043619567, -0.08892628444150852, 0.16614227914928412, 0.3567545533193447, 0.06624321241248796, 0.15841883419953445, -0.3480400809661505, -0.14841305555326614, 0.2694138234930364, 0.10799156412720046, -0.009048410603802995, 0.051158658379081186, -0.18279679446540614, 0.1072997321830468, -0.10670537059690724, -0.23454206465935032, -0.11487338062481466, 0.0717117914959709, 0.04177010828193198, -0.24586550611011843, -0.02977414494764278, 0.023972675643517828, 0.23781177799883282, -0.08105654714229445, -0.1410218630174294, -0.036446751220851926, 0.016044550634142844, 0.0030351542976704685, 0.08352065442380964, 0.09409831263164574, -0.10398111101949971, -0.04532838874481658, 0.34393816424454465, -0.04818224034384421, -0.20256979003423126, 0.07341251961791108, -0.14235816542257337, -0.12753509389606457, 0.16188243317503667, 0.0955588231688854, 0.11571957308019623, 0.0025663887564850814, 0.19550069883393112, -0.09857601713692994, 0.09607921714720263, 0.12480476077527125, -0.08580723483815578, 0.1679359654506259, -0.006049086879740687, 0.04135693041673789, 0.10189170349663428, -0.05170071957647761, -0.053675568774870945, -0.3798493879470736, -0.1892633253232913, -0.11781309548177565, 0.15775439851095402, -0.16952870309919263, -0.18269198661973923, 0.4385256596464426, -0.00046609490589694455, 0.24249992860441513, 0.16121763566588151, 0.23189088485140935, 0.11056506328849479, 0.0814141287428743, 0.05757720525052848, 0.14998374269707193, 0.17127622213009877, -0.010571602871476389, -0.1147098419296139, 0.0015350240447842482, 0.17347351072276843] |
711.4317 | Sum-free subsets of finite abelian groups of type III | A finite abelian group $G$ of cardinality $n$ is said to be of type III if
every prime divisor of $n$ is congruent to 1 modulo 3. We obtain a
classification theorem for sum-free subsets of largest possible cardinality in
a finite abelian group $G$ of type III. This theorem, when taken together with
known results, gives a complete characterisation of sum-free subsets of the
largest cardinality in any finite abelian group $G$. We supplement this result
with a theorem on the structure of sum-free subsets of cardinality "close" to
the largest possible in a type III abelian group $G$. We then give two
applications of these results. Our first application allows us to write down a
formula for the number of orbits under the natural action of ${\rm Aut}(G)$ on
the set of sum-free subsets of $G$ of the largest cardinality when $G$ is of
the form $({\mathbf{Z}}/m{\mathbf{Z}})^r$, with all prime divisors of $m$
congruent to 1 modulo 3, thereby extending a result of Rhemtulla and Street.
Our second application provides an upper bound for the number of sum-free
subsets of $G$. For finite abelian groups $G$ of type III and with {\em a given
exponent} this bound is substantially better than that implied by the bound for
the number of sum-free subsets in an arbitrary finite abelian group, due to
Green and Ruzsa.
| math.NT | a finite abelian group g of cardinality n is said to be of type iii if every prime divisor of n is congruent to 1 modulo 3 we obtain a classification theorem for sumfree subsets of largest possible cardinality in a finite abelian group g of type iii this theorem when taken together with known results gives a complete characterisation of sumfree subsets of the largest cardinality in any finite abelian group g we supplement this result with a theorem on the structure of sumfree subsets of cardinality close to the largest possible in a type iii abelian group g we then give two applications of these results our first application allows us to write down a formula for the number of orbits under the natural action of rm autg on the set of sumfree subsets of g of the largest cardinality when g is of the form mathbfzmmathbfzr with all prime divisors of m congruent to 1 modulo 3 thereby extending a result of rhemtulla and street our second application provides an upper bound for the number of sumfree subsets of g for finite abelian groups g of type iii and with em a given exponent this bound is substantially better than that implied by the bound for the number of sumfree subsets in an arbitrary finite abelian group due to green and ruzsa | [['a', 'finite', 'abelian', 'group', 'g', 'of', 'cardinality', 'n', 'is', 'said', 'to', 'be', 'of', 'type', 'iii', 'if', 'every', 'prime', 'divisor', 'of', 'n', 'is', 'congruent', 'to', '1', 'modulo', '3', 'we', 'obtain', 'a', 'classification', 'theorem', 'for', 'sumfree', 'subsets', 'of', 'largest', 'possible', 'cardinality', 'in', 'a', 'finite', 'abelian', 'group', 'g', 'of', 'type', 'iii', 'this', 'theorem', 'when', 'taken', 'together', 'with', 'known', 'results', 'gives', 'a', 'complete', 'characterisation', 'of', 'sumfree', 'subsets', 'of', 'the', 'largest', 'cardinality', 'in', 'any', 'finite', 'abelian', 'group', 'g', 'we', 'supplement', 'this', 'result', 'with', 'a', 'theorem', 'on', 'the', 'structure', 'of', 'sumfree', 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711.4318 | Heat transport in ordered harmonic lattices | We consider heat conduction across an ordered oscillator chain with harmonic
interparticle interactions and also onsite harmonic potentials. The onsite
spring constant is the same for all sites excepting the boundary sites. The
chain is connected to Ohmic heat reservoirs at different temperatures. We use
an approach following from a direct solution of the Langevin equations of
motion. This works both in the classical and quantum regimes. In the classical
case we obtain an exact formula for the heat current in the limit of system
size N to infinity. In special cases this reduces to earlier results obtained
by Rieder, Lebowitz and Lieb and by Nakazawa. We also obtain results for the
quantum mechanical case where we study the temperature dependence of the heat
current. We briefly discuss results in higher dimensions.
| cond-mat.stat-mech cond-mat.dis-nn | we consider heat conduction across an ordered oscillator chain with harmonic interparticle interactions and also onsite harmonic potentials the onsite spring constant is the same for all sites excepting the boundary sites the chain is connected to ohmic heat reservoirs at different temperatures we use an approach following from a direct solution of the langevin equations of motion this works both in the classical and quantum regimes in the classical case we obtain an exact formula for the heat current in the limit of system size n to infinity in special cases this reduces to earlier results obtained by rieder lebowitz and lieb and by nakazawa we also obtain results for the quantum mechanical case where we study the temperature dependence of the heat current we briefly discuss results in higher dimensions | [['we', 'consider', 'heat', 'conduction', 'across', 'an', 'ordered', 'oscillator', 'chain', 'with', 'harmonic', 'interparticle', 'interactions', 'and', 'also', 'onsite', 'harmonic', 'potentials', 'the', 'onsite', 'spring', 'constant', 'is', 'the', 'same', 'for', 'all', 'sites', 'excepting', 'the', 'boundary', 'sites', 'the', 'chain', 'is', 'connected', 'to', 'ohmic', 'heat', 'reservoirs', 'at', 'different', 'temperatures', 'we', 'use', 'an', 'approach', 'following', 'from', 'a', 'direct', 'solution', 'of', 'the', 'langevin', 'equations', 'of', 'motion', 'this', 'works', 'both', 'in', 'the', 'classical', 'and', 'quantum', 'regimes', 'in', 'the', 'classical', 'case', 'we', 'obtain', 'an', 'exact', 'formula', 'for', 'the', 'heat', 'current', 'in', 'the', 'limit', 'of', 'system', 'size', 'n', 'to', 'infinity', 'in', 'special', 'cases', 'this', 'reduces', 'to', 'earlier', 'results', 'obtained', 'by', 'rieder', 'lebowitz', 'and', 'lieb', 'and', 'by', 'nakazawa', 'we', 'also', 'obtain', 'results', 'for', 'the', 'quantum', 'mechanical', 'case', 'where', 'we', 'study', 'the', 'temperature', 'dependence', 'of', 'the', 'heat', 'current', 'we', 'briefly', 'discuss', 'results', 'in', 'higher', 'dimensions']] | [-0.12664320997410375, 0.1500629821692492, -0.002464798140918964, 0.030571040260171843, -0.013326454580626415, -0.15182338884981875, 0.0668779773715855, 0.35767520519101437, -0.24421736358074855, -0.2253405565239546, 0.06874794985846623, -0.3130722873655809, -0.11900666628551904, 0.22869242783920227, -0.0062036087046882125, 0.00850386513425535, 0.04498612298630178, 0.03615176833353809, -0.052023153716541884, -0.25232180551526256, 0.3017740559298545, 0.048897418141976456, 0.25383296978610165, 0.10292722760408207, 0.0706267220786602, 0.025021826800399723, 0.05071667663198505, 0.01342771768505018, -0.20124753775665596, 0.05822804471889319, 0.21182303507421307, -0.03843461031819345, 0.21832229202712766, -0.4525643200080358, -0.21195529169538094, 0.08359155624763656, 0.09995373715788751, 0.17673955417686063, -0.0006527672486223337, -0.2527418554394385, -0.0018983867982729473, -0.16204954024745535, -0.1631453750319139, -0.06128092941948931, 0.030946674023555835, 0.058568466538279, -0.25876711599016916, 0.12352582160694496, 0.10459582280111678, 0.04542884288910236, -0.10908339306434886, -0.11376414285841192, 0.01972390548859275, 0.12987467745063072, 0.03686450110865714, -0.02069443903458198, 0.10847650857229951, -0.1302488316739163, -0.09903188221839093, 0.33141583261499535, -0.10822050015171919, -0.20971163735504597, 0.22083112932670548, -0.16799825970936594, -0.11052558696224489, 0.06262418300043152, 0.10664135273652621, 0.10254304854995536, -0.17583272744055467, 0.1302421891418435, -0.0046678874952690175, 0.10557207563991537, 0.05946709479397262, -0.02626915880810391, 0.14936951170355536, 0.1292812096075873, 0.0860502848691371, 0.22311941165839613, -0.051112801023183094, -0.13415377466576814, -0.29955999952748075, -0.18261736683913626, -0.2143902820934904, 0.07193920227622001, -0.11436815412189875, -0.13226670368738075, 0.37349130834616323, 0.1568727385762059, 0.18778215365072015, 0.046345492058659316, 0.25798374838160193, 0.18010234376344517, 0.005027033440157316, 0.0971794028887312, 0.21781586680760365, 0.15909460264627773, 0.1436945863053885, -0.2673660520737891, -0.054030755630744096, 0.09226854325037535] |
711.4319 | A Hamilton-Jacobi Formalism for Thermodynamics | We show that classical thermodynamics has a formulation in terms of
Hamilton-Jacobi theory, analogous to mechanics. Even though the thermodynamic
variables come in conjugate pairs such as pressure/volume or
temperature/entropy, the phase space is odd-dimensional. For a system with n
thermodynamic degrees of freedom it is (2n+1)-dimensional. The equations of
state of a substance pick out an n-dimensional submanifold. A family of
substances whose equations of state depend on n parameters define a
hypersurface of co-dimension one. This can be described by the vanishing of a
function which plays the role of a Hamiltonian. The ordinary differential
equations (characteristic equations) defined by this function describe a
dynamical system on the hypersurface. Its orbits can be used to reconstruct the
equations of state. The `time' variable associated to this dynamics is related
to, but is not identical to, entropy. After developing this formalism on
well-grounded systems such as the van der Waals gases and the Curie-Weiss
magnets, we derive a Hamilton-Jacobi equation for black hole thermodynamics in
General Relativity. The cosmological constant appears as a constant of
integration in this picture.
| hep-th cond-mat.stat-mech gr-qc math-ph math.DG math.DS math.MP | we show that classical thermodynamics has a formulation in terms of hamiltonjacobi theory analogous to mechanics even though the thermodynamic variables come in conjugate pairs such as pressurevolume or temperatureentropy the phase space is odddimensional for a system with n thermodynamic degrees of freedom it is 2n1dimensional the equations of state of a substance pick out an ndimensional submanifold a family of substances whose equations of state depend on n parameters define a hypersurface of codimension one this can be described by the vanishing of a function which plays the role of a hamiltonian the ordinary differential equations characteristic equations defined by this function describe a dynamical system on the hypersurface its orbits can be used to reconstruct the equations of state the time variable associated to this dynamics is related to but is not identical to entropy after developing this formalism on wellgrounded systems such as the van der waals gases and the curieweiss magnets we derive a hamiltonjacobi equation for black hole thermodynamics in general relativity the cosmological constant appears as a constant of integration in this picture | [['we', 'show', 'that', 'classical', 'thermodynamics', 'has', 'a', 'formulation', 'in', 'terms', 'of', 'hamiltonjacobi', 'theory', 'analogous', 'to', 'mechanics', 'even', 'though', 'the', 'thermodynamic', 'variables', 'come', 'in', 'conjugate', 'pairs', 'such', 'as', 'pressurevolume', 'or', 'temperatureentropy', 'the', 'phase', 'space', 'is', 'odddimensional', 'for', 'a', 'system', 'with', 'n', 'thermodynamic', 'degrees', 'of', 'freedom', 'it', 'is', '2n1dimensional', 'the', 'equations', 'of', 'state', 'of', 'a', 'substance', 'pick', 'out', 'an', 'ndimensional', 'submanifold', 'a', 'family', 'of', 'substances', 'whose', 'equations', 'of', 'state', 'depend', 'on', 'n', 'parameters', 'define', 'a', 'hypersurface', 'of', 'codimension', 'one', 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711.432 | X-Ray Jet Dynamics in a Polar Coronal Hole Region | New XRT observations of the north polar region taken from the X-ray Telescope
(XRT) of the Hinode (Solar-B) spacecraft are used to analyze several time
sequences showing small loop brightenings with a long ray above. We focus on
the recorded transverse displacement of the jet and discuss scenarios to
explain the main features of the events: the relationship with the expected
surface magnetism, the rapid and sudden radial motion, and possibly the
heating, based on the assumption that the jet occurs above a null point of the
coronal magnetic field. We conclude that 3-D reconnection models are needed to
explain the observational details of these events.
| astro-ph | new xrt observations of the north polar region taken from the xray telescope xrt of the hinode solarb spacecraft are used to analyze several time sequences showing small loop brightenings with a long ray above we focus on the recorded transverse displacement of the jet and discuss scenarios to explain the main features of the events the relationship with the expected surface magnetism the rapid and sudden radial motion and possibly the heating based on the assumption that the jet occurs above a null point of the coronal magnetic field we conclude that 3d reconnection models are needed to explain the observational details of these events | [['new', 'xrt', 'observations', 'of', 'the', 'north', 'polar', 'region', 'taken', 'from', 'the', 'xray', 'telescope', 'xrt', 'of', 'the', 'hinode', 'solarb', 'spacecraft', 'are', 'used', 'to', 'analyze', 'several', 'time', 'sequences', 'showing', 'small', 'loop', 'brightenings', 'with', 'a', 'long', 'ray', 'above', 'we', 'focus', 'on', 'the', 'recorded', 'transverse', 'displacement', 'of', 'the', 'jet', 'and', 'discuss', 'scenarios', 'to', 'explain', 'the', 'main', 'features', 'of', 'the', 'events', 'the', 'relationship', 'with', 'the', 'expected', 'surface', 'magnetism', 'the', 'rapid', 'and', 'sudden', 'radial', 'motion', 'and', 'possibly', 'the', 'heating', 'based', 'on', 'the', 'assumption', 'that', 'the', 'jet', 'occurs', 'above', 'a', 'null', 'point', 'of', 'the', 'coronal', 'magnetic', 'field', 'we', 'conclude', 'that', '3d', 'reconnection', 'models', 'are', 'needed', 'to', 'explain', 'the', 'observational', 'details', 'of', 'these', 'events']] | [-0.12938141453800336, 0.17464030232447428, -0.04285170007848515, 0.16260722356865992, -0.08832186387131377, -0.05843347958278104, 0.01829263969008231, 0.4284899924301876, -0.23402464303697618, -0.3212552975669925, 0.10329120152823205, -0.27570113394725715, -0.1022292603299303, 0.23921290155992192, -0.05014241028841769, 0.014627626200891891, 0.10035985664306384, -0.017265722805739573, -0.059821011463426194, -0.20754684652597205, 0.29211144626606256, 0.12101209270855728, 0.21825920852869837, 0.02014952716593332, 0.11363292398493526, -0.06972141856028927, -0.0694536999491799, 0.012701084600093792, -0.11180114868727957, 0.061349635876776686, 0.15321418387477778, 0.11299606152581719, 0.18731810809728108, -0.48099659852472676, -0.23741192226561736, 0.028638045527568122, 0.09971680089541413, 0.014136499940540712, -0.02092828110677524, -0.3055019315402463, 0.03848966110919444, -0.1015461825871102, -0.14836388647134574, 0.03573831979554357, -0.007766445522099944, 0.05475444092058442, -0.23871715698953508, 0.04595679587153015, 0.040634193749799624, 0.09553769179004824, -0.1322973301372807, -0.028513049687048035, -0.03999634416672876, 0.12257007891224381, 0.15419494886091858, 0.06077740079600294, 0.1590900393680643, -0.11594275932513037, -0.11146144890490006, 0.3274252049280067, -0.0207044322851975, -0.007566985516053326, 0.2014203975438404, -0.26808536617647644, -0.14459421268207426, 0.18651893864087057, 0.16452476838691477, 0.08345465056756336, -0.12005680890529821, 0.013614555819175329, -0.0196610287288731, 0.1450102128023128, 0.03907357404043652, 0.01097631799760011, 0.27263801996508297, 0.11601102226611473, 0.026934518975223292, 0.1324902988601265, -0.2959640231466729, -0.057134075248438235, -0.35138043081212156, -0.11365737158031959, -0.10992532858256039, 0.03234975723514579, -0.08663281524855367, -0.1716426040692791, 0.41369153074656595, 0.17254769721096996, 0.25519654899835587, -0.018334580705070623, 0.2972955638191329, 0.0645404189412113, 0.06969505228335038, 0.11095932151524807, 0.2981922577556996, 0.12213691803494925, 0.19057387823924282, -0.2506277753778224, 0.05349233908192167, 0.050069583689723654] |
711.4321 | Rabi oscillations and excitation trapping in the coherent excitation of
a mesoscopic frozen Rydberg gas | We demonstrate the coherent excitation of a mesoscopic ensemble of about 100
ultracold atoms to Rydberg states by driving Rabi oscillations from the atomic
ground state. We employ a dedicated beam shaping and optical pumping scheme to
compensate for the small transition matrix element. We study the excitation in
a weakly interacting regime and in the regime of strong interactions. When
increasing the interaction strength by pair state resonances we observe an
increased excitation rate through coupling to high angular momentum states.
This effect is in contrast to the proposed and previously observed
interaction-induced suppression of excitation, the so-called dipole blockade.
| physics.atom-ph | we demonstrate the coherent excitation of a mesoscopic ensemble of about 100 ultracold atoms to rydberg states by driving rabi oscillations from the atomic ground state we employ a dedicated beam shaping and optical pumping scheme to compensate for the small transition matrix element we study the excitation in a weakly interacting regime and in the regime of strong interactions when increasing the interaction strength by pair state resonances we observe an increased excitation rate through coupling to high angular momentum states this effect is in contrast to the proposed and previously observed interactioninduced suppression of excitation the socalled dipole blockade | [['we', 'demonstrate', 'the', 'coherent', 'excitation', 'of', 'a', 'mesoscopic', 'ensemble', 'of', 'about', '100', 'ultracold', 'atoms', 'to', 'rydberg', 'states', 'by', 'driving', 'rabi', 'oscillations', 'from', 'the', 'atomic', 'ground', 'state', 'we', 'employ', 'a', 'dedicated', 'beam', 'shaping', 'and', 'optical', 'pumping', 'scheme', 'to', 'compensate', 'for', 'the', 'small', 'transition', 'matrix', 'element', 'we', 'study', 'the', 'excitation', 'in', 'a', 'weakly', 'interacting', 'regime', 'and', 'in', 'the', 'regime', 'of', 'strong', 'interactions', 'when', 'increasing', 'the', 'interaction', 'strength', 'by', 'pair', 'state', 'resonances', 'we', 'observe', 'an', 'increased', 'excitation', 'rate', 'through', 'coupling', 'to', 'high', 'angular', 'momentum', 'states', 'this', 'effect', 'is', 'in', 'contrast', 'to', 'the', 'proposed', 'and', 'previously', 'observed', 'interactioninduced', 'suppression', 'of', 'excitation', 'the', 'socalled', 'dipole', 'blockade']] | [-0.17635452600730822, 0.2621943645219902, -0.019010259403897875, 0.053693548333600606, 0.021920686032125117, -0.11824982214516194, 0.09538272283003103, 0.388177178163856, -0.2596693665600649, -0.29278815849361445, -0.03961841892889046, -0.27885339796395586, -0.06435587168625086, 0.1378277679974453, 0.07053582361521255, 0.029694170559097156, 0.06232151144534571, -0.030920962720076637, 0.003168683798780831, -0.12040652673331892, 0.3230530214403747, 0.08395464473523863, 0.33434316029052924, 0.09094873207648939, 0.11174804677651955, 0.01908176017021484, 0.11161471125992513, -0.06237937478546864, -0.09125618905760924, 0.0687821423946096, 0.23036054278421908, -0.041002588798430294, 0.2558572107400413, -0.43465828266695583, -0.1963249070680525, 0.08271310544609654, 0.19727611771610676, 0.23710770001127798, -0.07708350766454777, -0.31873206796106135, -0.04787741647572211, -0.20358113649457987, -0.13941071266861688, -0.09503203922984108, 0.024954382122706363, 0.03476502618402021, -0.3158937164093598, 0.07690339162945747, 0.04866119836097454, 0.07029685134639835, -0.061778908272707225, -0.039388011246550794, 0.014232119506151221, 0.04900232902042208, -0.026757936253867083, 0.018041773685392472, 0.1794892576993397, -0.1598344892067466, -0.08703661554649768, 0.32695698435648834, -0.14551014014943917, -0.1120322395235964, 0.19533001831133323, -0.2085322681630012, -0.02821586591809398, 0.1895809275568417, 0.15771154874917304, 0.09011889111462722, -0.08000848869220262, 0.0063097516500096, 0.008292110747482517, 0.2083768495370053, 0.061407857463870306, 0.13240244175713178, 0.19381612474744273, 0.15908592253102746, 0.031393972972389494, 0.17239341356487262, -0.14776468053828962, -0.1138124998363823, -0.22620933882818364, -0.08663389144815725, -0.20649347378697136, 0.053718261190201386, 0.013005384991359252, -0.08998304517192784, 0.41185372609927956, 0.15180713732699208, 0.21562982869731023, -0.053951086434950626, 0.29873988836874615, 0.16194400252165772, 0.04606246777653399, -0.0002816640506821251, 0.33771447229687823, 0.196327895582132, 0.057407687118479815, -0.3730186632590018, 0.007164548360973154, -0.0021638126426035227] |
711.4322 | Group Bundle Duality | This paper introduces a generalization of Pontryagin duality for locally
compact Hausdorff abelian groups to locally compact Hausdorff abelian group
bundles.
| math.OA | this paper introduces a generalization of pontryagin duality for locally compact hausdorff abelian groups to locally compact hausdorff abelian group bundles | [['this', 'paper', 'introduces', 'a', 'generalization', 'of', 'pontryagin', 'duality', 'for', 'locally', 'compact', 'hausdorff', 'abelian', 'groups', 'to', 'locally', 'compact', 'hausdorff', 'abelian', 'group', 'bundles']] | [-0.2592781565728642, 0.16760273209850615, -0.1319467162802106, 0.17295897731535315, -0.2501538366611515, -0.15786743321500363, 0.060758298312846036, 0.390645091732343, -0.30345760179417475, -0.07493738253556546, 0.1143250146636828, -0.17925551090212094, -0.10960199785906644, 0.20010233049591383, -0.31153627595908584, -0.09860437580694754, -0.0740185012774808, 0.1587220692918414, -0.13357887716431702, -0.33011680371349766, 0.5623803191507856, -0.10074127432225007, 0.36585257787789616, 0.06994237333890937, 0.16115205890188614, -0.018664728074024122, -0.06421225074501265, 0.08604341967120058, -0.08852651480230547, 0.23563162929245404, 0.4445911419710943, -0.049371885313164623, 0.17213663405605725, -0.27644521423748564, -0.21070268386531443, 0.30888951991108204, 0.019244871939355063, -0.11316450463519209, -0.08442130046231407, -0.3781957191725572, 0.16285697313114292, -0.27213519403622266, -0.22021983220197616, -0.1026417508366562, 0.1616202330305463, -0.11344653963100254, -0.19242091583354132, -0.039835055048267044, 0.06340881233059224, 0.1041530085584825, -0.12053736201709225, 0.08565561739461762, -0.035466546104067846, 0.02290698741784408, -0.058704678944888566, 0.1221194136000815, 0.13712850071135022, 0.04639904162225624, -0.16535580872247616, 0.3765531382745221, -0.08883856786858468, -0.28456911728495643, 0.19270638509520463, -0.21155240227069175, -0.25794045857730363, 0.16810549254573526, 0.16393132649716877, 0.2499070093035698, 0.01011322367758978, 0.23671403540564434, -0.222591547029359, 0.0198882951268128, 0.021510645835882143, 0.08382046027552514, 0.08098734068196445, 0.15295012148895434, 0.23378771955945662, 0.1893916189049681, 0.10396884310813177, 0.0648617698323159, -0.4077616234620412, -0.23374143810499282, -0.06792607626301192, 0.24754434682074047, -0.10161308573913716, -0.2353178616834893, 0.3355720912416776, -0.041872975106040634, 0.013560928226936431, 0.2728679809009745, 0.18726657592647133, -0.0716732192474107, 0.023281964739518508, 0.1514605393278457, 0.03927730378650483, 0.3665361223476274, -0.223061115902272, -0.0613540153385007, -0.21425022151587264, 0.45835804140993525] |
711.4323 | Quantum oscillations of rectified dc voltage as a function of magnetic
field in an "almost" symmetric superconducting ring | Periodic quantum oscillations of a rectified dc voltage Vdc(B) vs the
perpendicular magnetic field B were measured near the critical temperature Tc
in a single superconducting aluminum almost symmetric ring (without specially
created circular asymmetry) biased by alternating current with a zero dc
component. With varying bias current and temperature, these Vdc(B) oscillations
behave like the Vdc(B) oscillations observed in a circular-asymmetric ring but
are of smaller amplitude. The Fourier spectra of the Vdc(B) functions exhibit a
fundamental frequency, corresponding to the ring area, and its higher
harmonics. Unexpectedly, satellite frequencies depending on the structure
geometry and external parameters were found next to the fundamental frequency
and around its higher harmonics.
| cond-mat.supr-con cond-mat.mes-hall | periodic quantum oscillations of a rectified dc voltage vdcb vs the perpendicular magnetic field b were measured near the critical temperature tc in a single superconducting aluminum almost symmetric ring without specially created circular asymmetry biased by alternating current with a zero dc component with varying bias current and temperature these vdcb oscillations behave like the vdcb oscillations observed in a circularasymmetric ring but are of smaller amplitude the fourier spectra of the vdcb functions exhibit a fundamental frequency corresponding to the ring area and its higher harmonics unexpectedly satellite frequencies depending on the structure geometry and external parameters were found next to the fundamental frequency and around its higher harmonics | [['periodic', 'quantum', 'oscillations', 'of', 'a', 'rectified', 'dc', 'voltage', 'vdcb', 'vs', 'the', 'perpendicular', 'magnetic', 'field', 'b', 'were', 'measured', 'near', 'the', 'critical', 'temperature', 'tc', 'in', 'a', 'single', 'superconducting', 'aluminum', 'almost', 'symmetric', 'ring', 'without', 'specially', 'created', 'circular', 'asymmetry', 'biased', 'by', 'alternating', 'current', 'with', 'a', 'zero', 'dc', 'component', 'with', 'varying', 'bias', 'current', 'and', 'temperature', 'these', 'vdcb', 'oscillations', 'behave', 'like', 'the', 'vdcb', 'oscillations', 'observed', 'in', 'a', 'circularasymmetric', 'ring', 'but', 'are', 'of', 'smaller', 'amplitude', 'the', 'fourier', 'spectra', 'of', 'the', 'vdcb', 'functions', 'exhibit', 'a', 'fundamental', 'frequency', 'corresponding', 'to', 'the', 'ring', 'area', 'and', 'its', 'higher', 'harmonics', 'unexpectedly', 'satellite', 'frequencies', 'depending', 'on', 'the', 'structure', 'geometry', 'and', 'external', 'parameters', 'were', 'found', 'next', 'to', 'the', 'fundamental', 'frequency', 'and', 'around', 'its', 'higher', 'harmonics']] | [-0.21169711232210534, 0.20693252154370048, -0.03944925843897435, 0.010872074090330317, -0.062090360828012496, -0.15579362443925157, 0.04082721972687019, 0.3818566778355891, -0.26065101975424065, -0.2890098260061161, 0.06387081947639114, -0.2701475742516351, -0.07067215981733826, 0.25121491328553036, 0.027911246141737647, 0.011061522311547788, -0.04313680936943169, 0.06805873862341852, -0.09675077761749963, -0.16250193224347256, 0.2320705415462857, 0.06623925257428037, 0.3316026110881688, -0.026459017667818715, 0.033740463252740424, -0.03145641484507569, 0.02000785425204683, 0.07157128587153296, -0.09600699462795206, 0.01956590947166488, 0.20242979338912814, -0.07307747033684775, 0.18053260431541046, -0.4150623066040377, -0.14887040094073928, 0.08494945448982688, 0.12366742954661793, 0.06536794885120413, -0.04613356020926657, -0.23711421788745635, 0.05332328955567366, -0.10929274392054156, -0.16533503540883865, -0.030150020679643563, 0.049890065591924965, 0.09329748341629097, -0.24356920153651437, 0.13374182854061695, 0.062054480484745524, 0.13218863257248928, -0.0552510550111398, -0.14196716143271407, -0.07066842010832047, 0.046889112631188334, 0.0007755379821803119, 0.06031090608453966, 0.22791026598094283, -0.1019589280759966, -0.08004571877520632, 0.2885323979614957, -0.11668785818357456, -0.10767248915592292, 0.12763771426503187, -0.2647443076150979, -0.028119228725732717, 0.13955339380783272, 0.13877918335886016, 0.05837462901406259, -0.08907320481978843, 0.05641709386186489, 0.014045079912033838, 0.17086405266256718, 0.16998394510314405, 0.023954848663436737, 0.2993581268416197, 0.09635950127293498, 0.047279387717460375, 0.13676621438411005, -0.1406941634958711, -0.01650086619685664, -0.2163666217097056, -0.05288787663972995, -0.13976644933735533, 0.06387685992134114, -0.07608349431203343, -0.2153753253404756, 0.4693834163072343, 0.08088115945055678, 0.21270441869693296, -0.03411528622723176, 0.30930372925374555, 0.1633705713131742, 0.12272203368237578, 0.044313970986787264, 0.256264188819825, 0.194114512043401, 0.17118673923064595, -0.281981200348955, 0.005329464390236247, -0.03168789590583057] |
711.4324 | Report on "American Option Pricing and Hedging Strategies" | This paper mainly discusses the American option's hedging strategies via
binomialmodel and the basic idea of pricing and hedging American option.
Although the essential scheme of hedging is almost the same as European option,
small differences may arise when simulating the process for American option
holder has more rights, spelling that the option can be exercised at anytime
before its maturity. Our method is dynamic-hedging method.
| cs.CE cs.DM | this paper mainly discusses the american options hedging strategies via binomialmodel and the basic idea of pricing and hedging american option although the essential scheme of hedging is almost the same as european option small differences may arise when simulating the process for american option holder has more rights spelling that the option can be exercised at anytime before its maturity our method is dynamichedging method | [['this', 'paper', 'mainly', 'discusses', 'the', 'american', 'options', 'hedging', 'strategies', 'via', 'binomialmodel', 'and', 'the', 'basic', 'idea', 'of', 'pricing', 'and', 'hedging', 'american', 'option', 'although', 'the', 'essential', 'scheme', 'of', 'hedging', 'is', 'almost', 'the', 'same', 'as', 'european', 'option', 'small', 'differences', 'may', 'arise', 'when', 'simulating', 'the', 'process', 'for', 'american', 'option', 'holder', 'has', 'more', 'rights', 'spelling', 'that', 'the', 'option', 'can', 'be', 'exercised', 'at', 'anytime', 'before', 'its', 'maturity', 'our', 'method', 'is', 'dynamichedging', 'method']] | [-0.0654190886325523, -0.014005228564201389, -0.14311153887683759, 0.1805670426976178, -0.18946442924789153, -0.17177046866709134, 0.16064649963118427, 0.4569138459628448, -0.3152643700086628, -0.24660165180102922, 0.27759162633446977, -0.23352914538554614, -0.10059636017831508, 0.2539568803331349, -0.17911126257968135, -0.025474341325207206, 0.05389177161123371, -0.08816989669867326, 0.07248621328108129, -0.3196753007505322, 0.25303746299323393, 0.13071450633287895, 0.30367533657772583, 0.04596321850112872, 0.12666500021805405, -0.011292964991298504, -0.0619461426322232, -0.04601438230019994, -0.07937802483195355, 0.14312353801142308, 0.3434803341515362, 0.12020532933229333, 0.41240830800961703, -0.4128608408427681, -0.11092008509331208, 0.12180503279137156, 0.033212000260391505, 0.08316548397260703, -0.019755087848579933, -0.27202578024662216, 0.007920739430119283, -0.26267622341583774, -0.16385425080079585, -0.04339426867591101, 0.04302695997466799, -0.010779012460261583, -0.2935840077116154, 0.025372467338456772, -0.0058776060250238515, 0.0291855549585307, 0.0033932103597180685, -0.21814816702681128, -0.003542534239386441, 0.13357703884548755, 0.17588596167433934, -0.058222061627020594, 0.09299183185794391, -0.10995626372823608, -0.17990012639347697, 0.43048014026135206, -0.0653943341676495, -0.18762023583985865, 0.08630162665212993, -0.12840497199249512, -0.0715701792796608, 0.07532764962161309, 0.15446009632432833, 0.08879788086414919, -0.2566995517165651, 0.11861353561653232, -0.009583500999724492, 0.0904411089286441, 0.12582340379594825, -0.00776505558314966, 0.19329756881779758, 0.21874369077704614, 0.09887557453475893, 0.07894041747022129, -0.059253236911899876, -0.17327239892620128, -0.3119977334572468, -0.1548549927829299, -0.10091782205563504, -0.0015395384943985846, -0.12689991053002814, -0.12490183333284222, 0.34464244199460836, 0.18883015356004762, -0.0641922592312767, 0.05359399440931156, 0.31393054878572, 0.1642674699469353, -0.023601047476404347, 0.07631667517853202, 0.1553730063023977, -0.09491408796748146, 0.19422689301427454, -0.15751387435011566, 0.2641860326839378, 0.048710149188991636] |
711.4325 | On Three Different Notions of Monotone Subsequences | We review how the monotone pattern compares to other patterns in terms of
enumerative results on pattern avoiding permutations. We consider three natural
definitions of pattern avoidance, give an overview of classic and recent
formulas, and provide some new results related to limiting distributions.
| math.CO math.PR | we review how the monotone pattern compares to other patterns in terms of enumerative results on pattern avoiding permutations we consider three natural definitions of pattern avoidance give an overview of classic and recent formulas and provide some new results related to limiting distributions | [['we', 'review', 'how', 'the', 'monotone', 'pattern', 'compares', 'to', 'other', 'patterns', 'in', 'terms', 'of', 'enumerative', 'results', 'on', 'pattern', 'avoiding', 'permutations', 'we', 'consider', 'three', 'natural', 'definitions', 'of', 'pattern', 'avoidance', 'give', 'an', 'overview', 'of', 'classic', 'and', 'recent', 'formulas', 'and', 'provide', 'some', 'new', 'results', 'related', 'to', 'limiting', 'distributions']] | [-0.11513931511647323, 0.06911005440931396, -0.08259950794110243, 0.11112833238968794, -0.11852794431615621, -0.08095687856389717, 0.024010918378321963, 0.35474229764870624, -0.2753905593417585, -0.30459587305614894, 0.09097051045550457, -0.2920388892790387, -0.2301043131896718, 0.2260226900689304, -0.18922715476252383, 0.04724036504260518, 0.050497550242157144, -0.0013344565622074615, -0.12710010825487023, -0.2322365899427413, 0.345163875259459, 0.02125517869452861, 0.2940959089689634, 0.08443476496772333, 0.02836132709952918, 0.033825842536647215, -0.16603947538797828, -0.02945218370190229, -0.24776335162195293, 0.12261011594356122, 0.2538383128015663, 0.25878646213095635, 0.16180513910314237, -0.4924239471385425, -0.11648516036273743, 0.10481639811769128, 0.16455146832264622, 0.12039440832185475, -0.08379834921321493, -0.22886284779418598, 0.08308437868254259, -0.11747741377489133, -0.1599217904308303, -0.10354055866429751, 0.031010243279690094, 0.10555363895202224, -0.2022161709822037, 0.01837244853165678, 0.12499087653122842, 0.12035896349698305, -0.003986382253722034, -0.19952897253361615, 0.1442688939278014, 0.10307660331653262, 0.09601893043939279, -0.0187140527414158, 0.05078418906354769, -0.13282333136620847, -0.2478458610871299, 0.38533057357099926, -0.031493721921420234, -0.20857730219987305, 0.19750343353106556, -0.10811190476471727, -0.18113343409177932, 0.037708785765889014, 0.1418873444199562, 0.14189346054230223, -0.11102538687092336, -0.0069184896604962305, -0.123092979028694, 0.06587639842605726, 0.1366605363701555, 0.0835281159855764, 0.15360216738190502, 0.12167525316842577, 0.10882156962444159, 0.2193282350000862, -0.011583279241511429, -0.1554398342797702, -0.3031271868808703, -0.0656416947657073, -0.023550824135203253, -0.03144652600167319, -0.10204350467789812, -0.17454037646001036, 0.4623723505064845, 0.19731003446610307, 0.26470965305237437, 0.09447643461383202, 0.2569844796406952, 0.07194472036578438, -0.02903304782442071, -0.04694477787283673, 0.06558394653587708, 0.13648997971110724, 0.0717209256651007, -0.17432865271852774, 0.0752329239119056, 0.09935546686491845] |
711.4326 | Inflation in DBI models with constant gamma | Dirac-Born-Infeld scalar field theories which appear in the context of
inflation in string theory in general have a field dependent speed of sound. It
is however possible to write down DBI models which possess exact solutions
characterized by a constant speed of sound different from unity. This requires
that the potential and the effective D-brane tension appearing in a DBI action
have to be related in a specific way. This paper describes such models in
general and presents some examples with a constant speed of sound $c_s<1$ for
which the spectrum of scalar perturbations can be found analytically without
resorting to the slow roll approximation.
| astro-ph | diracborninfeld scalar field theories which appear in the context of inflation in string theory in general have a field dependent speed of sound it is however possible to write down dbi models which possess exact solutions characterized by a constant speed of sound different from unity this requires that the potential and the effective dbrane tension appearing in a dbi action have to be related in a specific way this paper describes such models in general and presents some examples with a constant speed of sound c_s1 for which the spectrum of scalar perturbations can be found analytically without resorting to the slow roll approximation | [['diracborninfeld', 'scalar', 'field', 'theories', 'which', 'appear', 'in', 'the', 'context', 'of', 'inflation', 'in', 'string', 'theory', 'in', 'general', 'have', 'a', 'field', 'dependent', 'speed', 'of', 'sound', 'it', 'is', 'however', 'possible', 'to', 'write', 'down', 'dbi', 'models', 'which', 'possess', 'exact', 'solutions', 'characterized', 'by', 'a', 'constant', 'speed', 'of', 'sound', 'different', 'from', 'unity', 'this', 'requires', 'that', 'the', 'potential', 'and', 'the', 'effective', 'dbrane', 'tension', 'appearing', 'in', 'a', 'dbi', 'action', 'have', 'to', 'be', 'related', 'in', 'a', 'specific', 'way', 'this', 'paper', 'describes', 'such', 'models', 'in', 'general', 'and', 'presents', 'some', 'examples', 'with', 'a', 'constant', 'speed', 'of', 'sound', 'c_s1', 'for', 'which', 'the', 'spectrum', 'of', 'scalar', 'perturbations', 'can', 'be', 'found', 'analytically', 'without', 'resorting', 'to', 'the', 'slow', 'roll', 'approximation']] | [-0.14148589444036286, 0.17670516586374668, -0.10267613901357565, 0.06582494958503438, -0.11334850282541344, -0.18356296910150421, -0.009538684827497318, 0.30026088022915204, -0.23484423696285203, -0.31442135601260124, 0.08814116993342481, -0.19881632831280252, -0.1669304787580456, 0.17159409983349697, -0.062038507742718574, 0.04339631047720711, -0.0025526994928008035, 0.10964850909298375, -0.039722115008182644, -0.23710787158148985, 0.30575915074108967, 0.034984105510548466, 0.23993102649138087, 0.030324383612189976, 0.10113992646691344, -0.08053929575142406, 0.013304722792513313, 0.0624038161665556, -0.12720393220751292, 0.09417994601119842, 0.21721884768720928, 0.11517630438098596, 0.20618636894727216, -0.44534843963171755, -0.2795812412919033, 0.09419183769662465, 0.1755279449568618, 0.18625516730161118, -0.025091530506809553, -0.23318773053054298, 0.07444491550503742, -0.1805277921747239, -0.15318190437253743, -0.1154445592890538, 0.029426052982342386, -0.018096768269537107, -0.24796049427241088, 0.115197897162233, 0.014366642563115983, 0.028093978585231872, -0.04775414897927216, -0.02312399509274179, 0.023035727725142525, 0.06150286199380865, 0.15522182983290156, 0.07802851410094826, 0.0964547331444919, -0.2282353128506137, -0.0623604742610561, 0.42778344994322176, -0.17099896540887477, -0.24105991527238593, 0.15175142804426806, -0.09055276944168976, -0.10755421557862843, 0.10974308179159249, 0.1484156583347136, 0.1425062541628168, -0.13298586208728097, 0.17736922688671344, 0.038416374909381074, 0.13443912539098943, 0.14156235682645013, 0.012316636751139802, 0.26355059852025337, 0.10131527213823227, 0.025232522211791505, 0.1319088492342936, 0.010622380571883349, -0.11826155903760255, -0.3624717378545375, -0.12340064320624584, -0.08604530664160848, 0.0747978458203198, -0.12882753006110545, -0.1994521993478494, 0.4297144142467351, 0.1716308323778711, 0.17831291819346093, 0.07439071466325826, 0.25684836166245595, 0.1626839692083498, 0.0740774556151813, 0.08493419437270079, 0.2977215581454359, 0.09993638470990672, 0.12672893341098512, -0.18452831985916765, -0.022452825091091828, 0.032874361430073065] |
711.4327 | Integrability of the Gibbons--Tsarev system | A new approach extracting multi-parametric hydrodynamic reductions for the
integrable hydrodynamic chains is presented. The Benney hydrodynamic chain is
considered.
| nlin.SI | a new approach extracting multiparametric hydrodynamic reductions for the integrable hydrodynamic chains is presented the benney hydrodynamic chain is considered | [['a', 'new', 'approach', 'extracting', 'multiparametric', 'hydrodynamic', 'reductions', 'for', 'the', 'integrable', 'hydrodynamic', 'chains', 'is', 'presented', 'the', 'benney', 'hydrodynamic', 'chain', 'is', 'considered']] | [-0.20724372658878565, 0.07502110907807946, -0.08347030319273471, 0.1472206267877482, -0.06016768212430179, -0.19087344536092132, -0.17935772137716413, 0.2492754148785025, -0.32904109749943017, -0.15502056945115328, 0.0875093350186944, -0.2764949418604374, -0.08445395166054367, 0.21410905988886952, 0.08560638767667114, 0.10338598219677805, 0.16932189892977476, -0.05473955292254686, -0.07831285949796438, -0.18797347880899906, 0.2250946706160903, 0.0838629222009331, 0.24218131098896264, -0.026786067802459002, 0.20413050027564167, 0.01180681181140244, -0.0654422951862216, 0.0014383573085069656, -0.25753495316021147, 0.11628475496545435, 0.2653522063046694, 0.0021632658084854484, 0.14576403684914113, -0.40794594418257474, -0.2638281871099025, 0.0394978956785053, 0.20039973752573131, 0.2890252271783538, 0.0006780128926038742, -0.2638411426451057, 0.034773185406811534, -0.2327516485005617, -0.15244291257113218, -0.09993309805140597, 0.027744053560309113, 0.08445693957619368, -0.28402664200402794, 0.14652306835632772, 0.1415466126985848, 0.10151647375896573, -0.06075518624857068, -0.08338051743339747, -0.02126207365654409, 0.07036454051267356, -0.01884703413816169, -0.017837704019621016, 0.09996879324316979, -0.08589829597622156, -0.1027732462156564, 0.3958680945448577, -0.027015776420012117, -0.3032116051763296, 0.248026915313676, 0.006759270979091525, -0.15117832627147437, 0.16647936180233955, 0.1305305164307356, 0.07417062281165272, -0.26801333762705326, 0.0764714989811182, -0.10536869522184134, 0.10154149336740374, -0.04723474066704512, -0.11033366937190295, 0.19868833012878895, 0.29095701929181816, -0.034264261927455665, 0.17896370068192483, -0.02880637994967401, -0.19109997432678938, -0.33116821218281983, -0.13838865738362074, -0.17683048490434886, 0.057576034869998696, -0.0703259252011776, -0.1593694757670164, 0.3621267929673195, 0.1324084009553644, 0.047605407703667876, 0.13333534519188106, 0.1831085623241961, 0.16411886001005768, 0.02672278815880418, 0.005677672801539302, 0.1879862379282713, 0.19248860836960374, 0.12639128784649073, -0.30360003750538456, -0.07593068894930184, 0.2742394966771826] |
711.4328 | Black Holes: Fermions at the Extremal Limit? | I present exact results matching Kerr-Newman Black Hole thermodynamics in the
extremal limit to the two-dimensional Fermi Gas. Two dimensions are consistent
with the membrane paradigm of black holes. Key in the analysis is the
thermodynamic Riemannian curvature scalar $R$, negative for most ordinary
thermodynamic systems, including those near the critical point, but mostly
positive for the Kerr-Newman Black Hole and the Fermi Gas.
| gr-qc | i present exact results matching kerrnewman black hole thermodynamics in the extremal limit to the twodimensional fermi gas two dimensions are consistent with the membrane paradigm of black holes key in the analysis is the thermodynamic riemannian curvature scalar r negative for most ordinary thermodynamic systems including those near the critical point but mostly positive for the kerrnewman black hole and the fermi gas | [['i', 'present', 'exact', 'results', 'matching', 'kerrnewman', 'black', 'hole', 'thermodynamics', 'in', 'the', 'extremal', 'limit', 'to', 'the', 'twodimensional', 'fermi', 'gas', 'two', 'dimensions', 'are', 'consistent', 'with', 'the', 'membrane', 'paradigm', 'of', 'black', 'holes', 'key', 'in', 'the', 'analysis', 'is', 'the', 'thermodynamic', 'riemannian', 'curvature', 'scalar', 'r', 'negative', 'for', 'most', 'ordinary', 'thermodynamic', 'systems', 'including', 'those', 'near', 'the', 'critical', 'point', 'but', 'mostly', 'positive', 'for', 'the', 'kerrnewman', 'black', 'hole', 'and', 'the', 'fermi', 'gas']] | [-0.1705186275048618, 0.08241570628160844, -0.0022735478123649955, 0.12463183594263683, -0.030206333962269127, -0.21913548066731892, -0.0031846909150772262, 0.25095904618501663, -0.13101856177127047, -0.26290761784184724, 0.08729205200870638, -0.42229583096923307, -0.08150784198369365, 0.194808381209441, -0.02067855868517654, 0.1066516348892037, -0.05121170441998402, 0.03952452038356569, -0.10591251424921211, -0.2100310292607901, 0.44488018949050456, 0.09440817407448776, 0.24430525560455862, 0.033431184565415606, 0.05531392079137731, -0.035912957406253554, 0.060698640620103106, 0.07904027298354777, -0.1942113157224412, 0.08437447085452732, 0.24459724211192224, 0.038525353687873576, 0.16798219707561657, -0.369837941674632, -0.24766199300938752, 0.05761444379459135, 0.16933515162963886, 0.148466759310395, -0.12330945827125106, -0.24725971688167192, 0.029328513744985685, -0.17704055454669287, -0.18441456835716963, -0.06244977029564325, 0.04723301940248348, -0.046443866958725266, -0.13631710984918755, 0.16131080183549784, 0.10761819392064353, -0.053518301087024156, -0.16231862973654643, -0.10023265189374797, -0.05470317794242874, 0.07877781501883874, 0.13575311929525924, 0.0216279776122974, 0.23895875993184745, -0.10323377542954404, -0.07090672351660032, 0.3536321964202216, -0.06704334674577694, -0.1763598895195173, 0.1980349630539422, -0.297859594313195, -0.12308028447296238, 0.12265633087372407, 0.10155625387415057, 0.17603680475349393, -0.16399276274023578, 0.1585913570224875, -0.0076811795006506145, 0.11841218525887598, 0.09437479198822984, 0.03970997146097943, 0.45459528475475963, 0.08923239872092381, 0.034570946263556834, 0.13763685823141714, -0.0610796507098712, -0.14511914525792236, -0.29602208914002404, -0.17687487564944604, -0.18590265755483415, 0.11474293188257434, -0.22095560275897697, -0.22700028875260614, 0.2963288191531319, 0.0779815968562616, 0.1695312613301212, 0.010667893275240203, 0.24529553650364733, 0.08445126202423126, -0.026298158001736738, 0.1687074738292722, 0.3338030831946526, 0.1221624260651879, 0.14989123962732265, -0.24732325098739238, -0.07926448132639052, 0.1465803133760346] |
711.4329 | When does the choice of the refractive index of a linear, homogeneous,
isotropic, active, dielectric medium matter? | Two choices are possible for the refractive index of a linear, homogeneous,
isotropic, active, dielectric material. Either of the choices is adequate for
obtaining frequency-domain solutions for (i) scattering by slabs, spheres, and
other objects of bounded extent; (ii) guided-wave propagation in homogeneously
filled, cross-sectionally uniform, straight waveguide sections with perfectly
conducting walls; and (iii) image formation due to flat lenses. The correct
choice does matter for the half-space problem, but that problem is not
realistic.
| physics.optics physics.class-ph physics.gen-ph | two choices are possible for the refractive index of a linear homogeneous isotropic active dielectric material either of the choices is adequate for obtaining frequencydomain solutions for i scattering by slabs spheres and other objects of bounded extent ii guidedwave propagation in homogeneously filled crosssectionally uniform straight waveguide sections with perfectly conducting walls and iii image formation due to flat lenses the correct choice does matter for the halfspace problem but that problem is not realistic | [['two', 'choices', 'are', 'possible', 'for', 'the', 'refractive', 'index', 'of', 'a', 'linear', 'homogeneous', 'isotropic', 'active', 'dielectric', 'material', 'either', 'of', 'the', 'choices', 'is', 'adequate', 'for', 'obtaining', 'frequencydomain', 'solutions', 'for', 'i', 'scattering', 'by', 'slabs', 'spheres', 'and', 'other', 'objects', 'of', 'bounded', 'extent', 'ii', 'guidedwave', 'propagation', 'in', 'homogeneously', 'filled', 'crosssectionally', 'uniform', 'straight', 'waveguide', 'sections', 'with', 'perfectly', 'conducting', 'walls', 'and', 'iii', 'image', 'formation', 'due', 'to', 'flat', 'lenses', 'the', 'correct', 'choice', 'does', 'matter', 'for', 'the', 'halfspace', 'problem', 'but', 'that', 'problem', 'is', 'not', 'realistic']] | [-0.10155668435005569, 0.16159971815680987, -0.007601823351394974, 0.019255838079659856, -0.1308127091217198, -0.20673892058211527, -0.025205617182348903, 0.49310684503105123, -0.2246413869832299, -0.2643452126511348, 0.08819890778211534, -0.27908168495387625, -0.06958511525054316, 0.1461627150542642, -0.028027220996782967, 0.0747417225379889, 0.0016017458340349166, -0.05804148741758821, -0.032472046641295924, -0.20362402727263734, 0.3409285632231714, 0.021356891641564863, 0.3000125408074574, 0.010896769052028264, 0.0634265212636245, 0.035492883198649475, -0.04366634707701834, 0.07739745082921888, -0.13206454879333537, 0.08167223057075478, 0.2767934845392837, 0.002501575803188117, 0.18496580466652582, -0.44686254677607823, -0.22964109511016623, 0.08051412050630652, 0.15800335575017685, 0.09658794698158377, -0.059278730401083043, -0.23773745895902576, 0.03901707232120986, -0.09250069670930602, -0.19896487487896689, 0.033786978468445965, 0.04543000003813129, 0.008388880603505592, -0.268425460427687, 0.07314078411773632, 0.07776911902290426, -0.007886565429783476, -0.12149291850418147, -0.08210197312904424, 0.020303754932492188, 0.0685078865713685, -0.0038366164969231343, -0.03804446775221119, 0.1449591095657333, -0.15767491416466473, -0.033722894082434084, 0.4244009418609111, -0.027209326647128985, -0.2742276264379095, 0.16795300872150906, -0.11221686747089016, 0.026301138620750095, 0.1927079983227151, 0.1367680452102305, 0.10564383166523553, -0.10787610170480452, 0.08914323048022772, -0.05972206480356889, 0.20543345611536337, 0.13749897849476456, 0.005160096297530751, 0.2496491795172915, 0.12639215700695977, 0.05704079028127078, 0.11548455696825649, -0.056281943891295476, -0.03672578266138628, -0.32202974079470886, -0.14469710429885277, -0.16368514708684465, 0.01745527840581704, -0.13106051076312342, -0.28053270953731907, 0.3114354903595277, 0.027484867354168704, 0.1327269925049653, 0.01937865884974599, 0.2938826783731776, 0.034833016780842295, 0.01585751930619345, 0.06782840756932274, 0.30223752102373463, 0.1381711520616112, 0.09360676307819392, -0.14754549926146865, 0.05399453475164544, 0.006005293037704082] |
711.433 | Balanced right/left-handed mixtures of quasi-planar chiral inclusions | Some novel quasi-planar chiral inclusions, feasible from standard
photo-etching techniques, are proposed. It is shown that such inclusions can be
designed in order to present balanced electric, magnetic and magneto-electric
polarizabilities. Using these inclusions, random and periodic bi-isotropic
artificial metamaterials exhibiting a balanced positive/negative refractive
index can be build up. These metamaterials would exhibit reasonable bandwidths
and excellent matching to free space.
| physics.optics | some novel quasiplanar chiral inclusions feasible from standard photoetching techniques are proposed it is shown that such inclusions can be designed in order to present balanced electric magnetic and magnetoelectric polarizabilities using these inclusions random and periodic biisotropic artificial metamaterials exhibiting a balanced positivenegative refractive index can be build up these metamaterials would exhibit reasonable bandwidths and excellent matching to free space | [['some', 'novel', 'quasiplanar', 'chiral', 'inclusions', 'feasible', 'from', 'standard', 'photoetching', 'techniques', 'are', 'proposed', 'it', 'is', 'shown', 'that', 'such', 'inclusions', 'can', 'be', 'designed', 'in', 'order', 'to', 'present', 'balanced', 'electric', 'magnetic', 'and', 'magnetoelectric', 'polarizabilities', 'using', 'these', 'inclusions', 'random', 'and', 'periodic', 'biisotropic', 'artificial', 'metamaterials', 'exhibiting', 'a', 'balanced', 'positivenegative', 'refractive', 'index', 'can', 'be', 'build', 'up', 'these', 'metamaterials', 'would', 'exhibit', 'reasonable', 'bandwidths', 'and', 'excellent', 'matching', 'to', 'free', 'space']] | [-0.13959339816985866, 0.23753565175794675, -0.02607416744023317, 0.022588069789249023, -0.1547303231147721, -0.16405222957694263, -0.0262036407366395, 0.5543024840413547, -0.2471623377966099, -0.3251461054457993, 0.05347051131195526, -0.28089894554348754, -0.2402027196357729, 0.1784623103124685, -0.06687384694967358, 0.14087944967885974, -0.0427303426273045, -0.029550949004707765, -0.020331024829695215, -0.17791855054312064, 0.24285496261398323, -0.040296588428929206, 0.3027482729130348, 0.0322693540317724, 0.06340580058024554, -0.062137537750369704, 0.0522921074479513, 0.14742057801741482, -0.08577682801627756, 0.15513746486213364, 0.2799027114763062, -0.03531303745312769, 0.1642419354471027, -0.45694364097396856, -0.20787381541106056, 0.11677565530599018, 0.12251375911024506, 0.1275653455742314, -0.09929122852130992, -0.2885553615442554, 0.13154770131604593, -0.14787188170813634, -0.14548535308739569, -0.2273094898364583, -0.04038161786700614, 0.05314903740377975, -0.3204016490060775, -0.011612717581332707, 0.03509757432659141, 0.018453751400601667, -0.07100900049611437, -0.13708222234816306, 0.018245688089948208, 0.08234558064398952, -0.020356816548823577, -0.03808423421788411, 0.12100275174607752, -0.058206381428925716, -0.139178023490383, 0.40546553514775685, -0.03832253385780114, -0.19026684961052703, 0.18271700758486986, -0.10325614822509348, -0.006395341599451714, 0.19856787952365446, 0.20783065012121787, 0.08996039265614064, -0.1323863867761903, 0.02889345255470453, -0.03877314906872687, 0.2234846948794868, 0.15779627597753387, 0.0360565557923229, 0.24678051175519092, 0.1369460906115834, 0.08097900598420624, 0.15282620796094054, 0.003330266595528018, -0.0017775560836078691, -0.22572309233736795, -0.11309011333973193, -0.1746235434271273, 0.04442958495404083, -0.14343465423353635, -0.26358905007259265, 0.3010891185477987, 0.1454802487869976, 0.10988209434769682, -0.027150281506483673, 0.24572956474253632, 0.12113027778438858, 0.13131628093905137, 0.03856310821672688, 0.2755583827541263, 0.18460866931413653, 0.09433366135373468, -0.1793339125770068, 0.023688268313398125, 0.00918402231191514] |
711.4331 | Existence and Uniqueness of constant mean curvature foliation of
asymptotically hyperbolic 3-manifolds II | In a previous paper, the authors showed that metrics which are asymptotic to
Anti-de Sitter-Schwarzschild metrics with positive mass admit a unique
foliation by stable spheres with constant mean curvature. In this paper we
extend that result to all asymptotically hyperbolic metrics for which the trace
of the mass term is positive. We do this by combining the Kazdan-Warner
obstructions with a theorem due to De Lellis and M\"uller.
| math.DG math.AP | in a previous paper the authors showed that metrics which are asymptotic to antide sitterschwarzschild metrics with positive mass admit a unique foliation by stable spheres with constant mean curvature in this paper we extend that result to all asymptotically hyperbolic metrics for which the trace of the mass term is positive we do this by combining the kazdanwarner obstructions with a theorem due to de lellis and muller | [['in', 'a', 'previous', 'paper', 'the', 'authors', 'showed', 'that', 'metrics', 'which', 'are', 'asymptotic', 'to', 'antide', 'sitterschwarzschild', 'metrics', 'with', 'positive', 'mass', 'admit', 'a', 'unique', 'foliation', 'by', 'stable', 'spheres', 'with', 'constant', 'mean', 'curvature', 'in', 'this', 'paper', 'we', 'extend', 'that', 'result', 'to', 'all', 'asymptotically', 'hyperbolic', 'metrics', 'for', 'which', 'the', 'trace', 'of', 'the', 'mass', 'term', 'is', 'positive', 'we', 'do', 'this', 'by', 'combining', 'the', 'kazdanwarner', 'obstructions', 'with', 'a', 'theorem', 'due', 'to', 'de', 'lellis', 'and', 'muller']] | [-0.1478748611997867, 0.0894340421680523, -0.10113679804582743, 0.04897995110081536, -0.10085517286147544, -0.13310814040132624, -0.02520999364028482, 0.3320679040490717, -0.17263184041054785, -0.2701594491313765, 0.1165849207790798, -0.29151193700406863, -0.1967563324108504, 0.1540169149613602, -0.16772900874038105, 0.04230200165909701, 0.05488652706929091, 0.04540185252393501, -0.07559689268658774, -0.2807172370426681, 0.44912441512164863, 0.04940094616588043, 0.20405679524106823, 0.09859394159107267, 0.12457210135956605, -0.047990485053995384, -0.034995444024494594, 0.09724248945713043, -0.2412821081261559, 0.10900789578917666, 0.2435436450532111, 0.07410645700883174, 0.23626080358846355, -0.29526420906726003, -0.218698603897423, 0.17399975849801433, 0.11248938151486758, 0.08126703100076513, -0.04642420139271712, -0.3032413262711919, 0.14428330038714668, -0.12040757539047711, -0.17896226140252058, -0.0692971422256011, 0.009754734633463448, -0.0025011126653871675, -0.2330311071844704, 0.09800585542899976, 0.1470437269873809, -0.0005450730171540509, -0.11694029769252824, -0.06807754533635317, -0.020751321391350983, 0.0860049700350973, 0.12850773690497855, 0.07523684041318146, 0.029415139523537262, -0.016832565754631778, -0.1307985504306313, 0.2941190565639324, -0.15496315975821967, -0.2767227453490098, 0.1603790679541619, -0.1317798166765251, -0.14620738349638987, 0.10638074151390448, 0.1222046095257004, 0.18479166546350587, -0.10090813803338054, 0.1769909215137781, -0.0528022180567833, 0.1102281677995579, 0.17433939467224738, -0.030873062642480152, 0.1439208468368304, 0.020548355556430593, 0.13376383903517347, 0.07477645912086187, 0.04498675925846117, -0.08083014219891334, -0.2984592781766601, -0.23459504473198584, -0.12120574803354786, 0.13571843020348012, -0.09853234864156389, -0.2413790954708837, 0.3389093852939381, 0.05399516386155417, 0.19038354535249696, 0.17468567581617853, 0.2530665874373222, 0.04433095605750366, 0.050398855429628624, 0.14397586483265395, 0.2676812715936398, 0.13158326784985652, 0.10761326554136863, -0.1572918291338652, -0.03264021767519307, 0.14467634004203306] |
711.4332 | Cross sections for short pulse single and double ionization of helium | In a previous publication, procedures were proposed for unambiguously
extracting amplitudes for single and double ionization from a time-dependent
wavepacket by effectively propagating for an infinite time following a
radiation pulse. Here we demonstrate the accuracy and utility of those methods
for describing two-photon single and one-photon double ionization of helium. In
particular it is shown how narrow features corresponding to autoionizing states
are easily resolved with these methods.
| physics.atom-ph | in a previous publication procedures were proposed for unambiguously extracting amplitudes for single and double ionization from a timedependent wavepacket by effectively propagating for an infinite time following a radiation pulse here we demonstrate the accuracy and utility of those methods for describing twophoton single and onephoton double ionization of helium in particular it is shown how narrow features corresponding to autoionizing states are easily resolved with these methods | [['in', 'a', 'previous', 'publication', 'procedures', 'were', 'proposed', 'for', 'unambiguously', 'extracting', 'amplitudes', 'for', 'single', 'and', 'double', 'ionization', 'from', 'a', 'timedependent', 'wavepacket', 'by', 'effectively', 'propagating', 'for', 'an', 'infinite', 'time', 'following', 'a', 'radiation', 'pulse', 'here', 'we', 'demonstrate', 'the', 'accuracy', 'and', 'utility', 'of', 'those', 'methods', 'for', 'describing', 'twophoton', 'single', 'and', 'onephoton', 'double', 'ionization', 'of', 'helium', 'in', 'particular', 'it', 'is', 'shown', 'how', 'narrow', 'features', 'corresponding', 'to', 'autoionizing', 'states', 'are', 'easily', 'resolved', 'with', 'these', 'methods']] | [-0.012235317741979616, 0.13756078551881912, -0.07276277956755264, 0.0729056558035233, 0.013969717594538477, -0.16441575111821294, 0.05056584726317205, 0.4677225691198871, -0.23481624281924704, -0.30021406696650427, -0.007464216262830988, -0.27012721994770283, -0.07918748754900003, 0.23720135891799937, 0.00014687505672159403, 0.0958312431593304, 0.0989398666711497, -0.00028819556388518083, -0.04039638567769873, -0.20621485256360492, 0.3259103575019517, 0.04245119742657719, 0.24661070021355283, 0.05827577782632864, 0.06481939518446292, 0.012566047950067383, -0.027651092908142702, -0.010252521811997976, -0.10031014777031606, 0.08898452864335579, 0.2759742297610079, 0.10025223145477366, 0.26648673440829135, -0.4184112110161695, -0.2381652783251543, 0.012926384408458851, 0.2042931509744106, 0.20850832128654356, -0.049412865788959294, -0.3105360072079128, -0.006487928870795429, -0.15713977454689101, -0.10735364583577367, -0.10113849897153568, 0.02176960590093032, 0.054618715004914484, -0.27830063517920783, 0.06510196101136398, -0.009051289274424746, -0.018541733351741932, -0.03724759887984913, -0.057083349661442684, -0.01300067951956737, 0.09019974565835319, -0.02310663622642017, -0.014092262422638958, 0.13274580126196361, -0.10983769031512222, -0.17561453417537437, 0.33151363348925783, -0.10619247048094436, -0.16516862821805736, 0.13208680621523788, -0.16663515556306727, -0.11754145063594848, 0.2452509783046401, 0.08971784033043229, 0.1649856382737989, -0.14459942020745814, 0.015662575779192528, 0.00012708040953114414, 0.17723378777989876, 0.1363117277716705, 0.05327549040911422, 0.18320192908868194, 0.12811419696790044, -0.04308804115145535, 0.10887595812749604, -0.14300710594524507, -0.06899495493026747, -0.28532104288646276, -0.12191512046611287, -0.12314025536719439, 0.04871141724963335, -0.002742667641343913, -0.1507729077589381, 0.4306745672247548, 0.10236205306390057, 0.14959954849336352, -0.02317889984967052, 0.342690771634596, 0.1617588682802043, 0.002494394448518321, 0.0193537638819628, 0.2586675195860258, 0.13390848185678106, 0.07729491188618577, -0.25399430022251024, 0.05816524944173685, -0.0006526852148058622] |
711.4333 | Chiral Decomposition in the Electronic Structure of Graphene Multilayers | We show that the low-energy electronic structure of arbitrarily stacked
graphene multilayers with nearest-neighbor interlayer tunneling consists of
chiral pseudospin doublets. Although the number of doublets in an $N$-layer
system depends on the stacking sequence, the pseudospin chirality sum is always
$N$. $N$-layer stacks have $N$ distinct Landau levels at E=0 for each spin and
valley, and quantized Hall conductivity $\sigma_{xy} = \pm(4 e^2/h)(N/2+n)$
where $n$ is a non-negative integer.
| cond-mat.mes-hall cond-mat.str-el | we show that the lowenergy electronic structure of arbitrarily stacked graphene multilayers with nearestneighbor interlayer tunneling consists of chiral pseudospin doublets although the number of doublets in an nlayer system depends on the stacking sequence the pseudospin chirality sum is always n nlayer stacks have n distinct landau levels at e0 for each spin and valley and quantized hall conductivity sigma_xy pm4 e2hn2n where n is a nonnegative integer | [['we', 'show', 'that', 'the', 'lowenergy', 'electronic', 'structure', 'of', 'arbitrarily', 'stacked', 'graphene', 'multilayers', 'with', 'nearestneighbor', 'interlayer', 'tunneling', 'consists', 'of', 'chiral', 'pseudospin', 'doublets', 'although', 'the', 'number', 'of', 'doublets', 'in', 'an', 'nlayer', 'system', 'depends', 'on', 'the', 'stacking', 'sequence', 'the', 'pseudospin', 'chirality', 'sum', 'is', 'always', 'n', 'nlayer', 'stacks', 'have', 'n', 'distinct', 'landau', 'levels', 'at', 'e0', 'for', 'each', 'spin', 'and', 'valley', 'and', 'quantized', 'hall', 'conductivity', 'sigma_xy', 'pm4', 'e2hn2n', 'where', 'n', 'is', 'a', 'nonnegative', 'integer']] | [-0.28397622321020155, 0.2463726943501302, 0.03086333132780376, -0.047916383629746956, -0.0029211059034637667, -0.2617003287339364, 0.019374951283680275, 0.40196807183982697, -0.2493169472881538, -0.2620226704679868, -0.10185274312115165, -0.3255681487019448, -0.15182406827978626, 0.053240946603610236, 0.08245061567268909, -0.02999353439458098, -0.04809960412710686, -0.03220039930345271, -0.015671041557866642, -0.26355706719400857, 0.28757770130794275, -0.09857909647775266, 0.3359734139076489, 0.04635593919631313, 0.07800254239426817, 0.07607828942127526, 0.1810664031380678, -0.004564254667510635, -0.09717906811259608, 0.01202656448859831, 0.2312072058865691, -0.1988353160388001, 0.16715899133465856, -0.45241985408424895, -0.08915643169380286, 0.020883699112078723, 0.21567067564191186, 0.1637135849279516, 0.032839147291858405, -0.22155191372011734, 0.09044989505919683, -0.124744014134836, -0.06795124415143886, -0.07132105300586451, 0.03223222622867016, -0.05538402401896961, -0.2789037361277117, 0.07212261111571398, 0.02277218168327475, 0.0864737662486732, -0.07555262739290758, -0.2783126917938181, -0.18054068941102527, 0.07235323684118852, 0.03757517166120712, 0.0034136366756523356, 0.1259657474275788, -0.11265581930980689, -0.1654357274117715, 0.32392581812489557, -0.07024534513338414, -0.18087979412966354, 0.06514875811134356, -0.17638545833966313, -0.12761713095653035, 0.15257320876288064, 0.04425026087076677, 0.08674949081614614, -0.04561145516088479, 0.15566757465678485, -0.10618355956531185, 0.20063457229715662, 0.07536802755887895, 0.12943721113740192, 0.30856452005750995, 0.13282450034132445, 0.11432056852465715, 0.0999851875445422, -0.12801082335371414, -0.004586800867828596, -0.22752622398547828, -0.16274969944018214, -0.3315369071000639, 0.16714400337899432, -0.10703211237962344, -0.20161971147172153, 0.4449742658556822, 0.06375872315359576, 0.211649641935604, 0.022757925572531187, 0.2564109795288566, 0.14846742698950144, 0.06551568130003836, 0.005106966709718108, 0.17679772016879938, 0.16210112412569716, 0.03984534838373827, -0.3111519778613001, -0.026573217138374114, 0.041299929790993166] |
711.4334 | Merged ionization/dissociation fronts in planetary nebulae | The hydrogen ionization and dissociation front around an ultraviolet
radiation source should merge when the ratio of ionizing photon flux to gas
density is sufficiently low and the spectrum is sufficiently hard. This regime
is particularly relevant to the molecular knots that are commonly found in
evolved planetary nebulae, such as the Helix Nebula, where traditional models
of photodissociation regions have proved unable to explain the high observed
luminosity in H_2 lines. In this paper we present results for the structure and
steady-state dynamics of such advection-dominated merged fronts, calculated
using the Cloudy plasma/molecular physics code. We find that the principal
destruction processes for H_2 are photoionization by extreme ultraviolet
radiation and charge exchange reactions with protons, both of which form H_2^+,
which rapidly combines with free electrons to undergo dissociative
recombination. Advection moves the dissociation front to lower column densities
than in the static case, which vastly increases the heating in the partially
molecular gas due to photoionization of He^0, H_2, and H^0. This causes a
significant fraction of the incident bolometric flux to be re-radiated as
thermally excited infrared H_2 lines, with the lower excitation pure rotational
lines arising in 1000 K gas and higher excitation H_2 lines arising in 2000 K
gas, as is required to explain the H_2 spectrum of the Helix cometary knots.
| astro-ph | the hydrogen ionization and dissociation front around an ultraviolet radiation source should merge when the ratio of ionizing photon flux to gas density is sufficiently low and the spectrum is sufficiently hard this regime is particularly relevant to the molecular knots that are commonly found in evolved planetary nebulae such as the helix nebula where traditional models of photodissociation regions have proved unable to explain the high observed luminosity in h_2 lines in this paper we present results for the structure and steadystate dynamics of such advectiondominated merged fronts calculated using the cloudy plasmamolecular physics code we find that the principal destruction processes for h_2 are photoionization by extreme ultraviolet radiation and charge exchange reactions with protons both of which form h_2 which rapidly combines with free electrons to undergo dissociative recombination advection moves the dissociation front to lower column densities than in the static case which vastly increases the heating in the partially molecular gas due to photoionization of he0 h_2 and h0 this causes a significant fraction of the incident bolometric flux to be reradiated as thermally excited infrared h_2 lines with the lower excitation pure rotational lines arising in 1000 k gas and higher excitation h_2 lines arising in 2000 k gas as is required to explain the h_2 spectrum of the helix cometary knots | [['the', 'hydrogen', 'ionization', 'and', 'dissociation', 'front', 'around', 'an', 'ultraviolet', 'radiation', 'source', 'should', 'merge', 'when', 'the', 'ratio', 'of', 'ionizing', 'photon', 'flux', 'to', 'gas', 'density', 'is', 'sufficiently', 'low', 'and', 'the', 'spectrum', 'is', 'sufficiently', 'hard', 'this', 'regime', 'is', 'particularly', 'relevant', 'to', 'the', 'molecular', 'knots', 'that', 'are', 'commonly', 'found', 'in', 'evolved', 'planetary', 'nebulae', 'such', 'as', 'the', 'helix', 'nebula', 'where', 'traditional', 'models', 'of', 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711.4335 | Insufficient convergence of inverse mean curvature flow on
asymptotically hyperbolic manifolds | We construct a solution to inverse mean curvature flow on an asymptotically
hyperbolic 3-manifold which does not have the convergence properties needed in
order to prove a Penrose--type inequality. This contrasts sharply with the
asymptotically flat case. The main idea consists in combining inverse mean
curvature flow with work done by Shi--Tam regarding boundary behavior of
compact manifolds. Assuming the Penrose inequality holds, we also derive a
nontrivial inequality for functions on $S^2$.
| math.DG math.AP | we construct a solution to inverse mean curvature flow on an asymptotically hyperbolic 3manifold which does not have the convergence properties needed in order to prove a penrosetype inequality this contrasts sharply with the asymptotically flat case the main idea consists in combining inverse mean curvature flow with work done by shitam regarding boundary behavior of compact manifolds assuming the penrose inequality holds we also derive a nontrivial inequality for functions on s2 | [['we', 'construct', 'a', 'solution', 'to', 'inverse', 'mean', 'curvature', 'flow', 'on', 'an', 'asymptotically', 'hyperbolic', '3manifold', 'which', 'does', 'not', 'have', 'the', 'convergence', 'properties', 'needed', 'in', 'order', 'to', 'prove', 'a', 'penrosetype', 'inequality', 'this', 'contrasts', 'sharply', 'with', 'the', 'asymptotically', 'flat', 'case', 'the', 'main', 'idea', 'consists', 'in', 'combining', 'inverse', 'mean', 'curvature', 'flow', 'with', 'work', 'done', 'by', 'shitam', 'regarding', 'boundary', 'behavior', 'of', 'compact', 'manifolds', 'assuming', 'the', 'penrose', 'inequality', 'holds', 'we', 'also', 'derive', 'a', 'nontrivial', 'inequality', 'for', 'functions', 'on', 's2']] | [-0.1430541627262145, 0.06273336226159662, -0.11973835534275803, 0.0945792249770682, -0.08247815424652949, -0.15401279643713817, -0.029386517591774464, 0.35009511442829483, -0.22412453135411728, -0.24310221339811966, 0.13916039261137683, -0.28043339677052953, -0.143233056677735, 0.1925996276390522, -0.14954472280885667, 0.06964373568149462, 0.0189520164762866, 0.06402136787312897, -0.09487254040200926, -0.23949166689202037, 0.3708423456968102, -0.009403301453957819, 0.2840466078830092, 0.09220220390643465, 0.11847454369425366, 0.00832444030714974, 0.01287066410550822, 0.06515229541221507, -0.24300203215943217, 0.1228526921357564, 0.18842679505836066, 0.04934849758147683, 0.22444276265123833, -0.37429959781161726, -0.22702465129837598, 0.15609302987944182, 0.15905656160352982, 0.02624934819074067, -0.06189600256437512, -0.24893904102596212, 0.07631317882045899, -0.05880486979213071, -0.23580090281209104, -0.037989999856544686, -0.03229334020400292, -0.03169891584588036, -0.25565554901689597, 0.1163190555633588, 0.13980672558233753, 0.03047483312348797, -0.1018895688530517, -0.06965541678850781, 0.020421946937958263, 0.05993883084020998, 0.08241937359259145, 0.030925175978814903, 0.05906347341018997, -0.03943979503803772, -0.08469222385870064, 0.2918719290755689, -0.09609036491577808, -0.2950804076884707, 0.10953923796418391, -0.15787553622017372, -0.14411102089877814, 0.08956027933562251, 0.14781165059395965, 0.16681428364643905, -0.09555707910984805, 0.1488136863591124, -0.062302559076757365, 0.1431916627509851, 0.09464178980672605, -0.030474862198613277, 0.13009505268594582, 0.08476410137668047, 0.20527578615073167, 0.17785067476765953, -0.0005219072097121444, -0.1152497299832024, -0.3652625179479588, -0.19079889073865872, -0.18356573806552548, 0.18559762422487375, -0.1468438069521105, -0.1925837436104066, 0.30811071765213593, 0.02166099902497579, 0.1757738759600851, 0.15730492631770823, 0.2438780338286537, 0.1032848991971935, 0.023542721625034735, 0.17040859086898297, 0.23840214814735602, 0.1915856563958199, 0.08774998172964543, -0.15259889556630835, 0.011567319405252395, 0.17375300066826277] |
711.4336 | The real loci of Calogero-Moser spaces, representations of rational
Cherednik algebras and the Shapiro conjecture | We prove a criterion for the reality of irreducible representations of the
rational Cherednik algebras H_{0,1}(S_n). This is shown to imply a criterion
for the real loci of the Calogero-Moser spaces C_n in terms of the
Etingof-Ginzburg finite maps \Upsilon \colon C_n \to C^n/S_n \times C^n/S_n,
recovering a result of Mikhin, Tarasov, and Varchenko [MTV2]. As a consequence
we obtain a criterion for the real locus of the Wilson's adelic Grassmannian of
rank one bispectral solutions of the KP hierarchy. Using Wilson's first
parametrisation of the adelic Grassmannian, we give a new proof of a result of
[MTV2] on real bases of spaces of quasi polynomials. The Shapiro Conjecture for
Grassmannians is equivalent to a special case of our result for Calogero-Moser
spaces, namely for the fibres of \Upsilon over C^n/S_n \times 0.
| math.RT math.AG math.CO | we prove a criterion for the reality of irreducible representations of the rational cherednik algebras h_01s_n this is shown to imply a criterion for the real loci of the calogeromoser spaces c_n in terms of the etingofginzburg finite maps upsilon colon c_n to cns_n times cns_n recovering a result of mikhin tarasov and varchenko mtv2 as a consequence we obtain a criterion for the real locus of the wilsons adelic grassmannian of rank one bispectral solutions of the kp hierarchy using wilsons first parametrisation of the adelic grassmannian we give a new proof of a result of mtv2 on real bases of spaces of quasi polynomials the shapiro conjecture for grassmannians is equivalent to a special case of our result for calogeromoser spaces namely for the fibres of upsilon over cns_n times 0 | [['we', 'prove', 'a', 'criterion', 'for', 'the', 'reality', 'of', 'irreducible', 'representations', 'of', 'the', 'rational', 'cherednik', 'algebras', 'h_01s_n', 'this', 'is', 'shown', 'to', 'imply', 'a', 'criterion', 'for', 'the', 'real', 'loci', 'of', 'the', 'calogeromoser', 'spaces', 'c_n', 'in', 'terms', 'of', 'the', 'etingofginzburg', 'finite', 'maps', 'upsilon', 'colon', 'c_n', 'to', 'cns_n', 'times', 'cns_n', 'recovering', 'a', 'result', 'of', 'mikhin', 'tarasov', 'and', 'varchenko', 'mtv2', 'as', 'a', 'consequence', 'we', 'obtain', 'a', 'criterion', 'for', 'the', 'real', 'locus', 'of', 'the', 'wilsons', 'adelic', 'grassmannian', 'of', 'rank', 'one', 'bispectral', 'solutions', 'of', 'the', 'kp', 'hierarchy', 'using', 'wilsons', 'first', 'parametrisation', 'of', 'the', 'adelic', 'grassmannian', 'we', 'give', 'a', 'new', 'proof', 'of', 'a', 'result', 'of', 'mtv2', 'on', 'real', 'bases', 'of', 'spaces', 'of', 'quasi', 'polynomials', 'the', 'shapiro', 'conjecture', 'for', 'grassmannians', 'is', 'equivalent', 'to', 'a', 'special', 'case', 'of', 'our', 'result', 'for', 'calogeromoser', 'spaces', 'namely', 'for', 'the', 'fibres', 'of', 'upsilon', 'over', 'cns_n', 'times', '0']] | [-0.16720833882685865, 0.02778647320215092, -0.12412718235868817, 0.08570540196879572, -0.05123783374031962, -0.13118918567838134, 0.0024248465260331945, 0.25924373929959166, -0.2771994410436456, -0.1577034810857573, 0.07569409305385004, -0.20008488532242386, -0.18611003828502093, 0.2402653205894338, -0.1316108935144405, 0.01629933593578117, 0.05933245955136164, 0.0710022332825402, -0.13144513593567897, -0.32095100123944237, 0.4024512024466382, -0.04126457664429737, 0.18527796729142929, 0.05905417436210424, 0.1402173394276043, 0.052981232246023045, -0.012215897477008113, -0.08763585275746594, -0.1631941259766445, 0.1357277287820051, 0.2973912507692684, 0.12214261672618373, 0.1798401154025436, -0.30133673722689697, -0.10931102168934001, 0.21417909732463863, 0.16750726408808847, 0.04774587922264793, 0.029867904463804565, -0.2743883953274538, 0.07328301236437734, -0.15366060906198137, -0.2009664797115811, -0.06562106582415543, 0.05756101881915544, 0.03794906048696171, -0.3000958099845768, 0.025042989388714697, 0.09120244847596154, 0.147911062399142, -0.10046788218770494, -0.14469044604663586, -0.0346052097138595, 0.07353309917718519, -0.0132977110766914, 0.05168168724680594, 0.03169704719569332, -0.0753511573899133, -0.15031253658379465, 0.40575057209664306, -0.021485417453182297, -0.2248561223896668, 0.10990646786901147, -0.1436208790644657, -0.18283066092882044, 0.11361943071711693, 0.08789391703398307, 0.1505423140237848, 0.0010726500100405642, 0.14118773541404223, -0.16261404681979685, 0.031169351743526988, 0.11134742808983077, -0.01931720784262487, 0.10483570622150289, 0.08687292695290937, 0.07227359542870432, 0.12336016817798101, 0.003829029560190185, -0.05396513165878998, -0.36393457899490994, -0.25811825052910853, -0.12667195387581695, 0.14948955919709087, -0.13229869080871223, -0.19676928520053732, 0.39678213857258704, 0.037433593418420286, 0.22762684097744582, 0.1749802920714656, 0.20236267115877465, 0.08960389918756, 0.03210431752841948, -0.036517875355690024, 0.13291186449847134, 0.26575298594354196, 0.02618334274071218, -0.14718770521671273, -0.04741517240325956, 0.26502554703056236] |
711.4337 | Intersection form, laminations and currents on free groups | Let $F_N$ be a free group of rank $N\ge 2$, let $\mu$ be a geodesic current
on $F_N$ and let $T$ be an $\mathbb R$-tree with a very small isometric action
of $F_N$. We prove that the geometric intersection number $<T, \mu>$ is equal
to zero if and only if the support of $\mu$ is contained in the dual algebraic
lamination $L^2(T)$ of $T$. Applying this result, we obtain a generalization of
a theorem of Francaviglia regarding length spectrum compactness for currents
with full support. As another application, we define the notion of a
\emph{filling} element in $F_N$ and prove that filling elements are "nearly
generic" in $F_N$. We also apply our results to the notion of \emph{bounded
translation equivalence} in free groups.
| math.GT math.GR | let f_n be a free group of rank nge 2 let mu be a geodesic current on f_n and let t be an mathbb rtree with a very small isometric action of f_n we prove that the geometric intersection number t mu is equal to zero if and only if the support of mu is contained in the dual algebraic lamination l2t of t applying this result we obtain a generalization of a theorem of francaviglia regarding length spectrum compactness for currents with full support as another application we define the notion of a emphfilling element in f_n and prove that filling elements are nearly generic in f_n we also apply our results to the notion of emphbounded translation equivalence in free groups | [['let', 'f_n', 'be', 'a', 'free', 'group', 'of', 'rank', 'nge', '2', 'let', 'mu', 'be', 'a', 'geodesic', 'current', 'on', 'f_n', 'and', 'let', 't', 'be', 'an', 'mathbb', 'rtree', 'with', 'a', 'very', 'small', 'isometric', 'action', 'of', 'f_n', 'we', 'prove', 'that', 'the', 'geometric', 'intersection', 'number', 't', 'mu', 'is', 'equal', 'to', 'zero', 'if', 'and', 'only', 'if', 'the', 'support', 'of', 'mu', 'is', 'contained', 'in', 'the', 'dual', 'algebraic', 'lamination', 'l2t', 'of', 't', 'applying', 'this', 'result', 'we', 'obtain', 'a', 'generalization', 'of', 'a', 'theorem', 'of', 'francaviglia', 'regarding', 'length', 'spectrum', 'compactness', 'for', 'currents', 'with', 'full', 'support', 'as', 'another', 'application', 'we', 'define', 'the', 'notion', 'of', 'a', 'emphfilling', 'element', 'in', 'f_n', 'and', 'prove', 'that', 'filling', 'elements', 'are', 'nearly', 'generic', 'in', 'f_n', 'we', 'also', 'apply', 'our', 'results', 'to', 'the', 'notion', 'of', 'emphbounded', 'translation', 'equivalence', 'in', 'free', 'groups']] | [-0.16960410992577066, 0.18087285880401174, -0.0953782668670382, 0.01510243000163568, -0.06309198999656289, -0.12868954782654357, 0.030844765592260452, 0.3374719594082818, -0.3119126917203752, -0.19039909925872112, 0.0967760863941072, -0.27952569451304227, -0.0953464224041114, 0.17501068035790382, -0.14161141745261546, -0.0473302727852895, 0.057029791270965725, 0.14665002297473753, -0.08200349958568084, -0.22901956874846927, 0.32984676744364866, -0.07400010262305538, 0.20635709508768912, 0.07251003457373387, 0.08890994528793102, 0.011161780586784206, -0.00017109153247097644, 0.0335689166700846, -0.18536178959683586, 0.11136537544217294, 0.25780685302778716, 0.0940365456347543, 0.25798861562403114, -0.32081755458157724, -0.13904494539327253, 0.22865286606507815, 0.14893674225606993, -0.03932476593716244, -0.02463987761752574, -0.23681125098581962, 0.21238570758785175, -0.14636089528600374, -0.18160993257552627, -0.07629228223539222, 0.07016042934264988, 0.007135376237650834, -0.3050858160571718, 0.0028138753489072516, 0.13640258630086494, 0.09663772078789866, -0.04830610361025949, -0.0971913668620438, -0.05571754908423901, 0.09717474073338193, 0.022251653814370314, 0.11786748418523892, 0.08513499477620774, -0.025004048276185322, -0.10659929691450443, 0.3887344741497219, -0.12441992359917338, -0.27047712513344074, 0.1190222061458763, -0.192564026172447, -0.1564433076570371, 0.09129539431201492, 0.1218745341463908, 0.1541447384111163, -0.04356556220313277, 0.20475127553232242, -0.12312620426187428, 0.13941870838767145, 0.1068115538190596, -0.0032760786437770217, 0.11286733976217002, 0.10929120800314032, 0.15408515436499098, 0.14628330765507844, 0.020996314074041518, 0.03173660400997454, -0.3680892965294481, -0.20370108434339848, -0.184860598966025, 0.18315420831303772, -0.11014209943598731, -0.16733290687983296, 0.3414776842829173, 0.08982406082237518, 0.19204712077233244, 0.16509083581793055, 0.21750801974884804, 0.0820423440375494, 0.04261219719561135, 0.1003095461737092, 0.06405651231288789, 0.20310356574439695, -0.06377318320508168, -0.15665149622562727, -0.029285100235687037, 0.19279112777392554] |
711.4338 | Low-energy subgap states and the magnetic flux periodicity in d-wave
superconducting rings | Wave functions of low-energy quasiparticle subgap states in d-wave
superconducting rings, threaded by Aharonov-Bohm magnetic flux, are found
analytically. The respective energies are closest to the midgap position at
small magnetic fluxes and deviate from the Fermi surface due to the Doppler
shift, produced by the supercurrent. The Doppler-shifted zero-energy states
result in a paramagnetic response of the ring at small fluxes. The states exist
only for even angular momenta of the center of mass of Cooper pairs, in
agreement with recent numerical studies of the problem. This macroscopic
quantum effect in d-wave rings results in broken h/2e periodicity, retaining
only the h/e periodic behavior of the supercurrent with varying magnetic flux.
| cond-mat.supr-con cond-mat.mes-hall | wave functions of lowenergy quasiparticle subgap states in dwave superconducting rings threaded by aharonovbohm magnetic flux are found analytically the respective energies are closest to the midgap position at small magnetic fluxes and deviate from the fermi surface due to the doppler shift produced by the supercurrent the dopplershifted zeroenergy states result in a paramagnetic response of the ring at small fluxes the states exist only for even angular momenta of the center of mass of cooper pairs in agreement with recent numerical studies of the problem this macroscopic quantum effect in dwave rings results in broken h2e periodicity retaining only the he periodic behavior of the supercurrent with varying magnetic flux | [['wave', 'functions', 'of', 'lowenergy', 'quasiparticle', 'subgap', 'states', 'in', 'dwave', 'superconducting', 'rings', 'threaded', 'by', 'aharonovbohm', 'magnetic', 'flux', 'are', 'found', 'analytically', 'the', 'respective', 'energies', 'are', 'closest', 'to', 'the', 'midgap', 'position', 'at', 'small', 'magnetic', 'fluxes', 'and', 'deviate', 'from', 'the', 'fermi', 'surface', 'due', 'to', 'the', 'doppler', 'shift', 'produced', 'by', 'the', 'supercurrent', 'the', 'dopplershifted', 'zeroenergy', 'states', 'result', 'in', 'a', 'paramagnetic', 'response', 'of', 'the', 'ring', 'at', 'small', 'fluxes', 'the', 'states', 'exist', 'only', 'for', 'even', 'angular', 'momenta', 'of', 'the', 'center', 'of', 'mass', 'of', 'cooper', 'pairs', 'in', 'agreement', 'with', 'recent', 'numerical', 'studies', 'of', 'the', 'problem', 'this', 'macroscopic', 'quantum', 'effect', 'in', 'dwave', 'rings', 'results', 'in', 'broken', 'h2e', 'periodicity', 'retaining', 'only', 'the', 'he', 'periodic', 'behavior', 'of', 'the', 'supercurrent', 'with', 'varying', 'magnetic', 'flux']] | [-0.23824591666925699, 0.23445888722199015, -0.008634710534741836, 0.08606179156465389, -0.004181479169346858, -0.12792473010319685, 0.05332420379688431, 0.34980348861842814, -0.21967005118910624, -0.3196896034101623, -0.06608059209143644, -0.32429058589851983, -0.031545227830065414, 0.17723965789939808, 0.0176810139257993, 0.025870802554501488, 0.026186898171934963, 0.018016317959076593, -0.10626647421928023, -0.19491502451793558, 0.3423652864460434, 0.0297473369729622, 0.2993484901463879, 0.07917619037159186, -0.0346552299670293, -0.01119601829642696, 0.08067791700679143, 0.027623873445138867, -0.0871301368024433, 0.021891389149719283, 0.23521452154870662, -0.10440377674863807, 0.14082412201553648, -0.48706334942419616, -0.1577279803293225, 0.05189202464368593, 0.1522236651300253, 0.15838117728708312, -0.02023603723085086, -0.3283283795961844, 0.02235726586929689, -0.14217248204762914, -0.17794029329005362, -0.03368291917805826, 0.038513660726104196, 0.015646100647115548, -0.1998974238626293, 0.14431605949357618, 0.03319459861553956, 0.08195846128676619, -0.09565769224510794, -0.08428658580357608, -0.11018345060542092, 0.029278850644394488, 0.0831280427821639, 0.038287012106073756, 0.1717681960102969, -0.14673260818277153, -0.11955426788439841, 0.3020438622708233, -0.05310741979961416, -0.11208900025979217, 0.11928344002808444, -0.2331590558647544, -0.061902840430515686, 0.2514533320375319, 0.06174709911491456, 0.07133727939383659, -0.08621128082242129, 0.0703484509135056, -0.06350369180589562, 0.11664399650492539, 0.10478362386181418, 0.1112073389890611, 0.32072757793191287, 0.10184243543023642, 0.048153942904329075, 0.1019891639402236, -0.17240475519377338, -0.0680571554153825, -0.29437886548527914, -0.08743589406367391, -0.23894044938996167, 0.0586749230895813, 0.009899235729790234, -0.1773410571705816, 0.42313707019535024, 0.1077053394401446, 0.23229920943932875, -0.03646485065110028, 0.25216341255249325, 0.1475939779525756, 0.09229818643611257, 0.10606750775228388, 0.2893675484831744, 0.20128111369038898, 0.13648273775886213, -0.35903405782456893, -0.015277116088587459, 0.012180908267120165] |
711.4339 | The nature of highly anisotropic free-electron-like states in a
glycinate monolayer on Cu(100) | The free-electron-like state observed in a scanning tunneling spectroscopy
study of a chiral p(2x4) monolayer of glycinate ions on the Cu(100) surface [K.
Kanazawa et al, J. Am. Chem. Soc. 129, 740 (2007)] is shown from density
functional theory calculations to originate from a Cu Shockley surface state at
the surface Brillouin zone boundary of the clean surface with highly
anisotropic dispersion. The presence of the glycinate ions on the surface
causes a dramatically enhanced tunneling into this surface state that is
otherwise not observed in tunneling on the bare surface.
| cond-mat.mtrl-sci | the freeelectronlike state observed in a scanning tunneling spectroscopy study of a chiral p2x4 monolayer of glycinate ions on the cu100 surface k kanazawa et al j am chem soc 129 740 2007 is shown from density functional theory calculations to originate from a cu shockley surface state at the surface brillouin zone boundary of the clean surface with highly anisotropic dispersion the presence of the glycinate ions on the surface causes a dramatically enhanced tunneling into this surface state that is otherwise not observed in tunneling on the bare surface | [['the', 'freeelectronlike', 'state', 'observed', 'in', 'a', 'scanning', 'tunneling', 'spectroscopy', 'study', 'of', 'a', 'chiral', 'p2x4', 'monolayer', 'of', 'glycinate', 'ions', 'on', 'the', 'cu100', 'surface', 'k', 'kanazawa', 'et', 'al', 'j', 'am', 'chem', 'soc', '129', '740', '2007', 'is', 'shown', 'from', 'density', 'functional', 'theory', 'calculations', 'to', 'originate', 'from', 'a', 'cu', 'shockley', 'surface', 'state', 'at', 'the', 'surface', 'brillouin', 'zone', 'boundary', 'of', 'the', 'clean', 'surface', 'with', 'highly', 'anisotropic', 'dispersion', 'the', 'presence', 'of', 'the', 'glycinate', 'ions', 'on', 'the', 'surface', 'causes', 'a', 'dramatically', 'enhanced', 'tunneling', 'into', 'this', 'surface', 'state', 'that', 'is', 'otherwise', 'not', 'observed', 'in', 'tunneling', 'on', 'the', 'bare', 'surface']] | [-0.1299640207663911, 0.16663897853721393, -0.07681355832584119, -0.040606170721362564, -0.0041852193136354176, -0.1343721334895726, 0.12089477501563686, 0.3419079471463233, -0.22285404775207968, -0.3298795811957523, -0.05387237860057294, -0.3375735987655379, -0.1225900026561504, 0.1698162210320405, -0.019678706027242993, -0.02465877631741963, 0.025660526844557753, -0.08325912998047437, -0.07796987453527916, -0.21109098169868917, 0.2661689038786074, 0.05993183564624927, 0.3254582198389696, 0.11376348837917105, -0.00018108910305446454, 0.03537301699306523, 0.08008008144941087, 0.009896397213922457, -0.1856883624075615, 0.06843724640170007, 0.2209611286126663, -0.12549485991907755, 0.18256254847883507, -0.46687327185122485, -0.2609509558415595, -0.06473597655010023, 0.07151877499195967, 0.1577554050417031, -0.045636904656133626, -0.3093064375342069, 0.02110244954538563, -0.12114816687457013, -0.11362495829790747, -0.006552687702240066, 0.04608487627688754, -0.0597333800011011, -0.19161371959718676, 0.12097524336455495, 0.038079639810419987, 0.07770992728828889, -0.11259768797435243, -0.12150580550052142, -0.2012066965702963, -0.035084003760489854, -0.015068323555496636, 0.09394671603922178, 0.17508767714352463, -0.06745243572441631, -0.029054982357480552, 0.3308278698725312, -0.09799612051378308, -0.0735652228932451, 0.2230829442798924, -0.19586361558542828, -0.02486444034435776, 0.2248502038641613, 0.11212814042574903, 0.12887169635237267, -0.12284526506208637, 0.1499965787117024, -0.03544948522127076, 0.1769989623225116, 0.10277141220449063, 0.0010058576806207722, 0.23983245414127125, 0.1358233946951085, 0.018692700443475433, 0.03089782122648164, -0.21522541274839824, -0.0033159196210679797, -0.2241778134190467, -0.19855408570362945, -0.248158418814118, 0.08309454036882445, 0.033431789971197425, -0.1987718569354829, 0.36353725157259553, 0.07272892471486597, 0.20304701953414786, -0.10356377817041586, 0.19413369723198035, 0.10627956652563861, 0.04386448566383274, 0.08711886683248737, 0.2610930277746213, 0.19695933165258905, 0.06747806475633818, -0.3263757675519904, 0.051851073217191054, 0.03670458335774752] |
711.434 | An Identity on SU(2) Invariants | We prove an identity [Eq. (1) below] among SU(2) 6j and 9j symbols that
generalizes the Biedenharn-Elliott sum rule. We prove the result using
diagrammatic techniques (briefly reviewed here), and then provide an algebraic
proof. This identity is useful for studying meson-baryon scattering in which an
extra isoscalar meson is produced.
| hep-ph | we prove an identity eq 1 below among su2 6j and 9j symbols that generalizes the biedenharnelliott sum rule we prove the result using diagrammatic techniques briefly reviewed here and then provide an algebraic proof this identity is useful for studying mesonbaryon scattering in which an extra isoscalar meson is produced | [['we', 'prove', 'an', 'identity', 'eq', '1', 'below', 'among', 'su2', '6j', 'and', '9j', 'symbols', 'that', 'generalizes', 'the', 'biedenharnelliott', 'sum', 'rule', 'we', 'prove', 'the', 'result', 'using', 'diagrammatic', 'techniques', 'briefly', 'reviewed', 'here', 'and', 'then', 'provide', 'an', 'algebraic', 'proof', 'this', 'identity', 'is', 'useful', 'for', 'studying', 'mesonbaryon', 'scattering', 'in', 'which', 'an', 'extra', 'isoscalar', 'meson', 'is', 'produced']] | [-0.1373392598813071, 0.14875588150479255, -0.1283857429436609, 0.14248794170470871, -0.09892025898557667, -0.1793948114374835, 0.03115909154710643, 0.29502760217178103, -0.26208894205845745, -0.1586556537076831, 0.03801535272585027, -0.27841325436590936, -0.2092313043334905, 0.15634672624953821, -0.023865812175048916, -0.03468689650488908, 0.014165658777689232, 0.1013672265238996, -0.07675309423996392, -0.24632727719989478, 0.36421767863280635, -0.03792168562729642, 0.18607489173939706, 0.15810829175033553, 0.09016431303804412, 0.10209578238245026, -0.068376626448441, -0.14176332092314375, -0.1221572853513256, 0.10386760204153903, 0.29198019145805315, 0.1362242698943352, 0.13510823574866734, -0.4004999207259685, -0.08975235378260121, 0.10290959549556468, 0.22582835002857096, 0.10855281832125768, -0.01611243317122845, -0.3172519215857427, 0.11492401239115234, -0.22066599576204432, -0.18142126460431837, -0.14156708876401478, 0.02475350882684556, -0.02792854047398649, -0.3138522839894993, 0.015574295603323216, 0.09536216627605551, 0.13192684568610846, -0.05209531388747707, -0.21987868119350762, 0.06746736395300604, 0.050680103912657384, 0.07389107531886183, 0.060879142169712804, 0.08026104941781537, -0.0642699594381174, -0.14028011067021712, 0.31501020889217946, -0.03561723402098698, -0.20348301237704708, 0.05702788936083808, -0.06099275435667997, -0.20886344917337685, 0.05668510569661271, 0.05229956780870756, 0.10038861646499558, -0.18834766117381116, 0.11036945987885416, -0.08860230955350049, 0.15805147947999193, 0.1258650965732979, 0.07825313776950626, 0.11651396510355613, 0.10238096902293026, 0.004429672525136494, 0.13667698520436591, -0.008247462320415413, -0.062388134745917485, -0.3921653747412504, -0.15528598703973578, -0.16583872543803105, 0.10683054038478683, -0.10046686795391782, -0.08232044314910822, 0.29715099492493796, 0.10209381812270366, 0.16089342920767033, 0.08825067414527796, 0.3000834539678751, 0.1813531894711595, 0.0262311788084095, 0.06421831013707846, 0.18113549687105285, 0.24682978158999308, 0.057252979928664134, -0.177351012403675, -0.029380292485595916, 0.20105818880028] |
711.4341 | Translating solutions to Lagrangian mean curvature flow | We prove some non-existence theorems for translating solutions to Lagrangian
mean curvature flow. More precisely, we show that translating solutions with an
$L^2$ bound on the mean curvature are planes and that almost-calibrated
translating solutions which are static are also planes. Recent work of D.
Joyce, Y.-I. Lee, and M.-P. Tsui, shows that these conditions are optimal.
| math.DG math.AP | we prove some nonexistence theorems for translating solutions to lagrangian mean curvature flow more precisely we show that translating solutions with an l2 bound on the mean curvature are planes and that almostcalibrated translating solutions which are static are also planes recent work of d joyce yi lee and mp tsui shows that these conditions are optimal | [['we', 'prove', 'some', 'nonexistence', 'theorems', 'for', 'translating', 'solutions', 'to', 'lagrangian', 'mean', 'curvature', 'flow', 'more', 'precisely', 'we', 'show', 'that', 'translating', 'solutions', 'with', 'an', 'l2', 'bound', 'on', 'the', 'mean', 'curvature', 'are', 'planes', 'and', 'that', 'almostcalibrated', 'translating', 'solutions', 'which', 'are', 'static', 'are', 'also', 'planes', 'recent', 'work', 'of', 'd', 'joyce', 'yi', 'lee', 'and', 'mp', 'tsui', 'shows', 'that', 'these', 'conditions', 'are', 'optimal']] | [-0.20578806941078878, 0.0775933911425997, -0.11480106106191351, 0.09501364255291328, -0.07550459782789021, -0.1681327508893191, -0.057249834352548705, 0.3800332882163817, -0.21806999239580413, -0.26408577945671585, 0.14169257305758565, -0.3403702131227443, -0.17703823561437035, 0.19888162627620132, -0.13358578337519839, 0.08132694838078398, 0.060216558272051704, 0.015989155132780996, -0.08741445030216455, -0.28314856813174855, 0.3487168216236393, -0.06815804998602784, 0.22456050631508492, 0.08863505856297388, 0.03416751196052421, -0.06273639112253461, 0.022172793443723207, 0.05157545478524346, -0.24734965687106555, 0.15714521543531304, 0.17046226867017122, 0.12120731590364717, 0.17893614217214154, -0.38456445586001664, -0.20706304897995373, 0.12513588050282315, 0.16024313330356227, 0.11805701800907978, -0.06267063622286323, -0.28254747861310053, 0.18775737281529264, -0.034616596833394284, -0.127810402321956, -0.13441261578874106, 0.05684864713826723, 0.07908409422982418, -0.2360701368174009, 0.07869729399221558, 0.15288691942604551, 0.06318058593100623, -0.15193680564366413, -0.15481381076633147, -0.054590923711657524, 0.054732720735237786, 0.09424774642837674, 0.06674530115305331, 0.034964291011228374, -0.06280007778683253, -0.0865720392188482, 0.27899153416224737, -0.07901179047889616, -0.29609842904385897, 0.130467747713913, -0.07656748417209376, -0.09791623273243506, 0.0703404863373164, 0.13484543203294538, 0.18360493671998643, -0.09817736445550333, 0.08517614777992365, -0.09576028616478045, 0.11657138007872722, 0.20404733362885422, -0.021816239063219542, 0.13293314973513284, 0.03382298450002022, 0.15894413617717332, 0.06974067488325793, -0.021075602289975473, -0.15233959427528215, -0.33403618349908165, -0.1639857362892495, -0.07731408405673217, 0.05685803928134734, -0.1107951819875253, -0.1333554352699011, 0.31278586234047745, 0.07840016980965932, 0.16890125963510128, 0.1577295153177131, 0.2353471068199724, 0.07220859778228036, -0.05290107229691848, 0.17562352625751182, 0.2794014777801318, 0.15471371802452363, 0.05561508229329137, -0.11921448131467689, -0.05028929949223407, 0.1591910566284991] |
711.4342 | Thermodynamics and Relativity: A Message to Physics Teachers (for an
easier understanding of the thermodynamic theory) | Whoever has to learn or to teach thermodynamics is confronted with conceptual
difficulties which are specific to this field of physics ([1],[2]). It seems
that they can be eliminated by inserting relativity in the thermodynamic
theory. The aim of this paper is to summarize the problem and draw attention
upon a fundamental point of the discussion.
| physics.gen-ph | whoever has to learn or to teach thermodynamics is confronted with conceptual difficulties which are specific to this field of physics 12 it seems that they can be eliminated by inserting relativity in the thermodynamic theory the aim of this paper is to summarize the problem and draw attention upon a fundamental point of the discussion | [['whoever', 'has', 'to', 'learn', 'or', 'to', 'teach', 'thermodynamics', 'is', 'confronted', 'with', 'conceptual', 'difficulties', 'which', 'are', 'specific', 'to', 'this', 'field', 'of', 'physics', '12', 'it', 'seems', 'that', 'they', 'can', 'be', 'eliminated', 'by', 'inserting', 'relativity', 'in', 'the', 'thermodynamic', 'theory', 'the', 'aim', 'of', 'this', 'paper', 'is', 'to', 'summarize', 'the', 'problem', 'and', 'draw', 'attention', 'upon', 'a', 'fundamental', 'point', 'of', 'the', 'discussion']] | [-0.05198881315300241, 0.12830497166474483, -0.12300157117923456, 0.06532864608535809, -0.16985994005309685, -0.170001645298076, 0.053798703701301874, 0.34664026723476127, -0.2745400352869183, -0.33904287511748926, 0.11774099341086444, -0.27922999602742493, -0.1392179749465348, 0.14162849368377856, -0.14998750609811395, -0.008860694778767149, 0.023299682430141338, 0.0796455099313919, -0.06904852596302849, -0.2565175028783934, 0.34678653818056254, 0.09740688858021583, 0.23389205531150634, 0.06579845155855375, 0.048685684571475055, -0.05004285175320027, -0.03097107499239168, 0.028458121066380824, -0.11613826077895542, 0.15067578565919706, 0.3160329489702625, 0.1670254023878702, 0.3264433770839657, -0.4360512786411813, -0.22705663253353642, 0.059177151490335485, 0.10243362607434392, 0.15522490330996724, -0.04532960937857362, -0.25367218538719627, 0.08493061804412198, -0.12676387497257174, -0.15733535869679013, -0.10348771373641544, -0.02281185666340337, -0.05227338622457215, -0.16878784610889852, -0.012103197663756353, 0.08675733737514488, 0.010298651663885851, 0.0029375574335322847, -0.08566361417719495, 0.034946653759106994, 0.1483888698359286, 0.11148454787741814, 0.1124721032933199, 0.10467801463424362, -0.14001622860087082, -0.10662366300987612, 0.4488304163595395, 0.03774404671275988, -0.22620663050163006, 0.19047275519031764, -0.1356697745504789, -0.16046678109393855, 0.07956086328652288, 0.14437147584976628, 0.06862545958886455, -0.19999906172909374, 0.08805694133271962, -0.006706509024037847, 0.15965823785362382, 0.03631081082026607, -0.03507072271479826, 0.29290312096210463, 0.16254101297818124, -0.015466862782237254, 0.12061156295697271, 3.2965031485738496e-05, -0.1474221617099829, -0.29620655162060366, -0.13562601052191375, -0.1632513477151016, 0.09523347795142659, -0.0023042036500555696, -0.10770489943518312, 0.36312693430642995, 0.23594710934750246, 0.1624270945488076, 0.010799104067180971, 0.2529711016852941, 0.12237404728512047, 0.04874392306166036, 0.008648121430139457, 0.286318324838898, 0.1295776543847751, 0.14146375181319723, -0.1716240867972374, 0.045077393932193184, 0.0461419216257387] |
711.4343 | Perfect domination in regular grid graphs | We show there is an uncountable number of parallel total perfect codes in the
integer lattice graph ${\Lambda}$ of $\R^2$. In contrast, there is just one
1-perfect code in ${\Lambda}$ and one total perfect code in ${\Lambda}$
restricting to total perfect codes of rectangular grid graphs (yielding an
asymmetric, Penrose, tiling of the plane). We characterize all cycle products
$C_m\times C_n$ with parallel total perfect codes, and the $d$-perfect and
total perfect code partitions of ${\Lambda}$ and $C_m\times C_n$, the former
having as quotient graph the undirected Cayley graphs of $\Z_{2d^2+2d+1}$ with
generator set $\{1,2d^2\}$. For $r>1$, generalization for 1-perfect codes is
provided in the integer lattice of $\R^r$ and in the products of $r$ cycles,
with partition quotient graph $K_{2r+1}$ taken as the undirected Cayley graph
of $\Z_{2r+1}$ with generator set $\{1,...,r\}$.
| math.CO | we show there is an uncountable number of parallel total perfect codes in the integer lattice graph lambda of r2 in contrast there is just one 1perfect code in lambda and one total perfect code in lambda restricting to total perfect codes of rectangular grid graphs yielding an asymmetric penrose tiling of the plane we characterize all cycle products c_mtimes c_n with parallel total perfect codes and the dperfect and total perfect code partitions of lambda and c_mtimes c_n the former having as quotient graph the undirected cayley graphs of z_2d22d1 with generator set 12d2 for r1 generalization for 1perfect codes is provided in the integer lattice of rr and in the products of r cycles with partition quotient graph k_2r1 taken as the undirected cayley graph of z_2r1 with generator set 1r | [['we', 'show', 'there', 'is', 'an', 'uncountable', 'number', 'of', 'parallel', 'total', 'perfect', 'codes', 'in', 'the', 'integer', 'lattice', 'graph', 'lambda', 'of', 'r2', 'in', 'contrast', 'there', 'is', 'just', 'one', '1perfect', 'code', 'in', 'lambda', 'and', 'one', 'total', 'perfect', 'code', 'in', 'lambda', 'restricting', 'to', 'total', 'perfect', 'codes', 'of', 'rectangular', 'grid', 'graphs', 'yielding', 'an', 'asymmetric', 'penrose', 'tiling', 'of', 'the', 'plane', 'we', 'characterize', 'all', 'cycle', 'products', 'c_mtimes', 'c_n', 'with', 'parallel', 'total', 'perfect', 'codes', 'and', 'the', 'dperfect', 'and', 'total', 'perfect', 'code', 'partitions', 'of', 'lambda', 'and', 'c_mtimes', 'c_n', 'the', 'former', 'having', 'as', 'quotient', 'graph', 'the', 'undirected', 'cayley', 'graphs', 'of', 'z_2d22d1', 'with', 'generator', 'set', '12d2', 'for', 'r1', 'generalization', 'for', '1perfect', 'codes', 'is', 'provided', 'in', 'the', 'integer', 'lattice', 'of', 'rr', 'and', 'in', 'the', 'products', 'of', 'r', 'cycles', 'with', 'partition', 'quotient', 'graph', 'k_2r1', 'taken', 'as', 'the', 'undirected', 'cayley', 'graph', 'of', 'z_2r1', 'with', 'generator', 'set', '1r']] | [-0.21074092391086377, 0.0967469079180265, 0.01813551908226933, 0.03444759105423861, -0.05278463108377077, -0.1778211201665791, 0.0027629240511322585, 0.3976886883143365, -0.30220263263056657, -0.2922023246798107, 0.07313531316178815, -0.31525160216792364, -0.07700276552464842, 0.11877952814038006, -0.07110162559662044, 0.033949277748713105, 0.10688491093955464, 0.12924726980217682, -0.0011989615901600657, -0.3184341160171687, 0.29632223569458044, 0.054473191213713384, 0.16747684783749575, 0.013869705030650605, 0.0840388044135601, 0.05711204861474084, -0.031488167648167004, 0.06958287625800906, -0.2225391853130496, 0.047757760784772084, 0.252615388024481, 0.15047400143899492, 0.12377601861953735, -0.3829812766602776, -0.1545746010603515, 0.20764141390466784, 0.11490618252730746, 0.06670512668935098, 0.043742188857501654, -0.14481069176919817, 0.15004098688538267, -0.17984631469135914, -0.06365917308446695, 0.06258083121323092, 0.11101876849154611, 0.04586357923268568, -0.2949665075857339, -0.04057640728988047, 0.1100752065911537, 0.12149580614515268, 0.018079666435483872, -0.21099746224331103, -0.06959166610613465, 0.09296042574056256, -0.06763847656804686, 0.07562126352737739, -0.018225311638978052, -0.07434609934034955, -0.17407381142247616, 0.4109943527581654, -0.029610863996772315, -0.2103134435381535, 0.052996527388926566, -0.1186651474187576, -0.11772721247586208, 0.14798701425471644, 0.10601569679895724, 0.12294798984566307, -0.008582119316625314, 0.17039666522622446, -0.1271079873453503, 0.14229928201988457, 0.13554538008353606, 0.030209043712215864, 0.1555427950256922, 0.09017717175361678, 0.10711974381124527, 0.2368699880390186, 0.022767708218825147, -0.07032009565792098, -0.30905238673178936, -0.11695730485623394, -0.21951996814459562, 0.08926670936002272, -0.2479063243907464, -0.2553586592296446, 0.3617736714136765, 0.04297024045344882, 0.12210832417421923, 0.09161416375202926, 0.2137055038877829, 0.020587330684294983, 0.0837862872212436, 0.17148911095348987, 0.06589374934711795, 0.21378487128192397, -0.03427658953857938, -0.16314959508187218, -0.02321437335991132, 0.14852239069800208] |
711.4344 | DNA duplex cage structures with icosahedral symmetry | A construction method for duplex cage structures with icosahedral sym- metry
made out of single-stranded DNA molecules is presented and applied to an
icosidodecahedral cage. It is shown via a mixture of analytic and computer
techniques that there exist realisations of this graph in terms of two circular
DNA molecules. These blueprints for the organisation of a cage structure with a
noncrystallographic symmetry may assist in the design of containers made from
DNA for applications in nanotechnology.
| q-bio.BM | a construction method for duplex cage structures with icosahedral sym metry made out of singlestranded dna molecules is presented and applied to an icosidodecahedral cage it is shown via a mixture of analytic and computer techniques that there exist realisations of this graph in terms of two circular dna molecules these blueprints for the organisation of a cage structure with a noncrystallographic symmetry may assist in the design of containers made from dna for applications in nanotechnology | [['a', 'construction', 'method', 'for', 'duplex', 'cage', 'structures', 'with', 'icosahedral', 'sym', 'metry', 'made', 'out', 'of', 'singlestranded', 'dna', 'molecules', 'is', 'presented', 'and', 'applied', 'to', 'an', 'icosidodecahedral', 'cage', 'it', 'is', 'shown', 'via', 'a', 'mixture', 'of', 'analytic', 'and', 'computer', 'techniques', 'that', 'there', 'exist', 'realisations', 'of', 'this', 'graph', 'in', 'terms', 'of', 'two', 'circular', 'dna', 'molecules', 'these', 'blueprints', 'for', 'the', 'organisation', 'of', 'a', 'cage', 'structure', 'with', 'a', 'noncrystallographic', 'symmetry', 'may', 'assist', 'in', 'the', 'design', 'of', 'containers', 'made', 'from', 'dna', 'for', 'applications', 'in', 'nanotechnology']] | [-0.13045816149943593, 0.11599537848314276, -0.04900993700683504, -0.012089320245295666, -0.030367490768964802, -0.14844423823977831, 0.02884788712027011, 0.4276425163080166, -0.23823489993810654, -0.21969092764299025, 0.06316301584782007, -0.2384278775516341, -0.21300398089088401, 0.16816578068855134, -0.02344996701659901, 0.03675725119333569, 0.09235820425190515, 0.026408456761825395, 0.023696395952569005, -0.20819335626082966, 0.19895245071935963, 0.049358081580563026, 0.24642091552430595, 0.06656771153211594, 0.08571978061242247, -0.006450405513698404, 0.04116267935892978, 0.008285517888990316, -0.17235209271903285, 0.20396300915677051, 0.32752341133022267, 0.09038452811345651, 0.20518742855214936, -0.4936892266881156, -0.19147159539838926, 0.061210984128297535, 0.18226730159495946, 0.18150560635250884, -0.0949661049374996, -0.25299301766488075, 0.08388139593548008, -0.18700436695007147, -0.1346670062486808, -0.07982016602748787, 0.056449027490112685, 0.013951712795956568, -0.21728987160649804, 0.0016120872641732166, 0.04408770438295777, 0.1198062745539786, -0.02172323420353524, -0.11569892473567228, -0.014978213870728558, 0.10599165893607325, 0.041634207500701216, -0.008584073611668177, 0.196727862389601, -0.09836864858176317, -0.1520084954084611, 0.4594004507140293, 0.036270180275639545, -0.20791247562208975, 0.19085396568944024, -0.07596797697161409, -0.19770127120609213, 0.15077631112623524, 0.11433629679505701, 0.10410034563997156, -0.15002934164261783, 0.0913225494297947, -0.010287963990847786, 0.18702379669752214, 0.16222423201051916, -0.03311578472229568, 0.23958305677084565, 0.19395342520014805, 0.05024075657492141, 0.18849302141310334, -0.021697942681562204, -0.09972088652747599, -0.22157795642587272, -0.19855066190826004, -0.18936770985374687, 0.018943046921162637, -0.04743820769892244, -0.22067944427412425, 0.3413812637014629, 0.031744153935812994, 0.14113342723289093, -0.010637603288927636, 0.20200614208452305, -0.07923866670530338, 0.1438977089650058, -0.035087487684538614, 0.14055805294865187, 0.15182620323226823, 0.054600334780701955, -0.20987987928409976, 0.022038036918074086, 0.03208044750688525] |
711.4345 | Perfect domination in rectangular grid graphs | A dominating set $S$ in a graph $G$ is said to be perfect if every vertex of
$G$ not in $S$ is adjacent to just one vertex of $S$. Given a vertex subset
$S'$ of a side $P_m$ of an $m\times n$ grid graph $G$, the perfect dominating
sets $S$ in $G$ with $S'=S\cap V(P_m)$ can be determined via an exhaustive
algorithm $\Theta$ of running time $O(2^{m+n})$. Extending $\Theta$ to infinite
grid graphs of width $m-1$, periodicity makes the binary decision tree of
$\Theta$ prunable into a finite threaded tree, a closed walk of which yields
all such sets $S$. The graphs induced by the complements of such sets $S$ can
be codified by arrays of ordered pairs of positive integers via $\Theta$, for
the growth and determination of which a speedier %greedy algorithm exists. %and
their periodic structure, further studied. A recent characterization of grid
graphs having total perfect codes $S$ (with just 1-cubes as induced
components), due to Klostermeyer and Goldwasser, is given in terms of $\Theta$,
which allows to show that these sets $S$ are restrictions of only one total
perfect code $S_1$ in the integer lattice graph ${\Lambda}$ of $\R^2$.
Moreover, the complement ${\Lambda}-S_1$ yields an aperiodic tiling, like the
Penrose tiling. In contrast, the parallel, horizontal, total perfect codes in
${\Lambda}$ are in 1-1 correspondence with the doubly infinite
$\{0,1\}$-sequences.
| math.CO | a dominating set s in a graph g is said to be perfect if every vertex of g not in s is adjacent to just one vertex of s given a vertex subset s of a side p_m of an mtimes n grid graph g the perfect dominating sets s in g with sscap vp_m can be determined via an exhaustive algorithm theta of running time o2mn extending theta to infinite grid graphs of width m1 periodicity makes the binary decision tree of theta prunable into a finite threaded tree a closed walk of which yields all such sets s the graphs induced by the complements of such sets s can be codified by arrays of ordered pairs of positive integers via theta for the growth and determination of which a speedier greedy algorithm exists and their periodic structure further studied a recent characterization of grid graphs having total perfect codes s with just 1cubes as induced components due to klostermeyer and goldwasser is given in terms of theta which allows to show that these sets s are restrictions of only one total perfect code s_1 in the integer lattice graph lambda of r2 moreover the complement lambdas_1 yields an aperiodic tiling like the penrose tiling in contrast the parallel horizontal total perfect codes in lambda are in 11 correspondence with the doubly infinite 01sequences | [['a', 'dominating', 'set', 's', 'in', 'a', 'graph', 'g', 'is', 'said', 'to', 'be', 'perfect', 'if', 'every', 'vertex', 'of', 'g', 'not', 'in', 's', 'is', 'adjacent', 'to', 'just', 'one', 'vertex', 'of', 's', 'given', 'a', 'vertex', 'subset', 's', 'of', 'a', 'side', 'p_m', 'of', 'an', 'mtimes', 'n', 'grid', 'graph', 'g', 'the', 'perfect', 'dominating', 'sets', 's', 'in', 'g', 'with', 'sscap', 'vp_m', 'can', 'be', 'determined', 'via', 'an', 'exhaustive', 'algorithm', 'theta', 'of', 'running', 'time', 'o2mn', 'extending', 'theta', 'to', 'infinite', 'grid', 'graphs', 'of', 'width', 'm1', 'periodicity', 'makes', 'the', 'binary', 'decision', 'tree', 'of', 'theta', 'prunable', 'into', 'a', 'finite', 'threaded', 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711.4346 | Cohomology and Duality for (phi,Gamma)-modules over the Robba ring | Given a p-adic representation of the Galois group of a local field, we show
that its Galois cohomology can be computed using the associated etale
(phi,Gamma)-module over the Robba ring; this is a variant of a result of Herr.
We then establish analogues, for not necessarily etale (phi,Gamma)-modules over
the Robba ring, of the Euler-Poincare characteristic formula and Tate local
duality for p-adic representations. These results are expected to intervene in
the duality theory for Selmer groups associated to de Rham representations.
| math.NT | given a padic representation of the galois group of a local field we show that its galois cohomology can be computed using the associated etale phigammamodule over the robba ring this is a variant of a result of herr we then establish analogues for not necessarily etale phigammamodules over the robba ring of the eulerpoincare characteristic formula and tate local duality for padic representations these results are expected to intervene in the duality theory for selmer groups associated to de rham representations | [['given', 'a', 'padic', 'representation', 'of', 'the', 'galois', 'group', 'of', 'a', 'local', 'field', 'we', 'show', 'that', 'its', 'galois', 'cohomology', 'can', 'be', 'computed', 'using', 'the', 'associated', 'etale', 'phigammamodule', 'over', 'the', 'robba', 'ring', 'this', 'is', 'a', 'variant', 'of', 'a', 'result', 'of', 'herr', 'we', 'then', 'establish', 'analogues', 'for', 'not', 'necessarily', 'etale', 'phigammamodules', 'over', 'the', 'robba', 'ring', 'of', 'the', 'eulerpoincare', 'characteristic', 'formula', 'and', 'tate', 'local', 'duality', 'for', 'padic', 'representations', 'these', 'results', 'are', 'expected', 'to', 'intervene', 'in', 'the', 'duality', 'theory', 'for', 'selmer', 'groups', 'associated', 'to', 'de', 'rham', 'representations']] | [-0.22579601994096643, 0.012743203667923808, -0.24937944038680232, 0.1208873118909939, -0.11862279634877312, -0.07580050826640572, -0.06252637929879357, 0.29131988842585466, -0.4220996421829956, -0.20328589609437964, 0.07580488236342761, -0.16193877573965526, -0.14739783719840754, 0.24762856639444647, -0.2139623603306529, -0.06526159981859098, -0.03467151850019014, 0.16111094740832724, -0.095765788162059, -0.33281600254973986, 0.3937438009590728, -0.03274889294875831, 0.21531793947910843, 0.012995821537404525, 0.09259283918569364, 0.03196108156656165, -0.01666228937712021, -0.06023396260286795, -0.12990395844924313, 0.16501888179606417, 0.4118496387282659, 0.02182582741966698, 0.19327830225115689, -0.3995821590694349, -0.11615827795765477, 0.2527429674036528, 0.1145624923775336, 0.03505324515536791, -0.026706238576812986, -0.3074765621298334, 0.15444534908548543, -0.22773015872779778, -0.14527704942653455, -0.08995159418980886, 0.036003152983229064, 0.05702584645733601, -0.23697003354772744, 0.005837681072923105, 0.042786859319454466, 0.20933687196272174, -0.1650520545478751, -0.06362859108030977, -0.033163489983984974, 0.047528335892754354, -0.031758913284780955, 0.048751288394602695, 0.13578505460854348, -0.1149025184255684, -0.14322404558316054, 0.3464767220089348, -0.10930637133921065, -0.13149384375684325, 0.12280708405603769, -0.16511584612790767, -0.17325913801039683, 0.11430805944269751, 0.0308172955382161, 0.17081937580028686, 0.055876068032641966, 0.19160963892056493, -0.17934104142619706, 0.056246171080757204, 0.09899154502512296, -0.003871504677368737, 0.14469161428647434, -7.836110094880185e-05, 0.05166831704086579, 0.08449033614980601, 0.019588417463038663, -0.06088674551148603, -0.35490661881091756, -0.24858841817349014, -0.10056525933635761, 0.10432294129536675, -0.09597054802476877, -0.15228820399937743, 0.41520585403664084, 0.11100377291781692, 0.14835983664705987, 0.21595308934224816, 0.17500722652198974, 0.07747468176275128, 0.10085774743475201, 0.018844258931760744, 0.07571993911320843, 0.2888047878471453, -0.04244938362446591, -0.15447348692999563, -0.0711491877616315, 0.28509683487368975] |
711.4347 | On fixed point sets of distinguished collections for groups of parabolic
characteristic | We determine the nature of the fixed point sets of groups of order p, acting
on complexes of distinguished p-subgroups (those p-subgroups containing
p-central elements in their centers). The case when G has parabolic
characteristic p is analyzed in detail.
| math.GR math.AT | we determine the nature of the fixed point sets of groups of order p acting on complexes of distinguished psubgroups those psubgroups containing pcentral elements in their centers the case when g has parabolic characteristic p is analyzed in detail | [['we', 'determine', 'the', 'nature', 'of', 'the', 'fixed', 'point', 'sets', 'of', 'groups', 'of', 'order', 'p', 'acting', 'on', 'complexes', 'of', 'distinguished', 'psubgroups', 'those', 'psubgroups', 'containing', 'pcentral', 'elements', 'in', 'their', 'centers', 'the', 'case', 'when', 'g', 'has', 'parabolic', 'characteristic', 'p', 'is', 'analyzed', 'in', 'detail']] | [-0.21404827830265277, 0.12485091455746442, -0.06663131908280776, 0.03079334820213262, -0.01707324107410386, -0.07920909305103123, 0.02382748029194772, 0.38577522318810226, -0.30144782974384726, -0.22531309166224672, 0.03661434669629671, -0.307598340138793, -0.06549081953708083, 0.17459104051813484, -0.07942771571688353, -0.06758702783845365, 0.0018371634185314178, 0.18352365226019174, -0.04430889133363962, -0.319715840369463, 0.4032061821781099, -0.0784076068084687, 0.21835830775089562, -0.06563547435798682, 0.005314108589664102, 0.041536515578627586, -0.029009152308572084, 0.01921302857808769, -0.158391815982759, 0.10466003206092864, 0.2867428406141698, -0.01202387809753418, 0.2146942170104012, -0.3492071779910475, -0.13402526788413524, 0.2480689664836973, 0.10595490943233017, 0.01292995375697501, -0.030550812618457712, -0.24239081423147582, 0.19693748062709346, -0.130358446756145, -0.2043978579924442, 0.0012100499938242138, 0.14229415175504984, 0.06104569905437529, -0.19060836851131172, -0.02005595958326012, 0.0778387070633471, 0.15547411442967132, -0.04619971691863611, -0.19048136840574442, -0.08586015654727816, 0.1480155991484935, -0.027257144145551138, -0.058361632202286275, 0.14046671675750985, -0.06994923786260188, -0.11374819800257682, 0.4656820325180888, -0.009420840072561987, -0.15456907209008933, 0.19452796555124224, -0.2474100904772058, -0.14288478549569844, 0.13442088509909808, 0.1502244995092042, 0.18603267882717772, -0.013519148745035636, 0.2350459813605994, -0.08803088800050318, 0.0831512832584849, 0.12424509052652866, -0.010699961241334677, 0.09871359415119514, 0.09742056847317145, 0.04080250619444996, 0.11888690919149666, -0.010617977188667282, 0.04075036365538835, -0.34074471024796366, -0.12841433510184289, -0.15695911842631177, 0.08025877146283164, -0.06468507989775389, -0.16522275738534517, 0.3872767427004874, 0.01831775144673884, 0.16868017194792628, -0.034985375008545816, 0.1474081238731742, 0.07264031334780156, 0.05522135377977975, 0.04523594468701049, 0.10332521153613924, 0.23158958866260945, -0.09038984603830613, -0.21325702239992098, 0.03811818016692996, 0.18346634429180994] |
711.4348 | Spectroscopic Observations of the Mass Donor Star in SS 433 | The microquasar SS 433 is an interacting massive binary consisting of an
evolved mass donor and a compact companion that ejects relativistic jets. The
mass donor was previously identified through spectroscopic observations of
absorption lines in the blue part of the spectrum that showed Doppler shifts
associated with orbital motion and strength variations related to the orbital
modulation of the star-to-disk flux ratio and to disk obscuration. However,
subsequent observations revealed other absorption features that lacked these
properties and that were probably formed in the disk gas outflow. We present
here follow-up observations of SS 433 at orbital and precession phases
identical to those from several previous studies with the goals of confirming
the detection of the mass donor spectrum and providing more reliable masses for
the two system components. We show that the absorption features present as well
as those previously observed almost certainly belong to the mass donor star,
and we find revised masses of 12.3 +/- 3.3 and 4.3 +/- 0.8 M(sun) for the mass
donor and compact object, respectively.
| astro-ph | the microquasar ss 433 is an interacting massive binary consisting of an evolved mass donor and a compact companion that ejects relativistic jets the mass donor was previously identified through spectroscopic observations of absorption lines in the blue part of the spectrum that showed doppler shifts associated with orbital motion and strength variations related to the orbital modulation of the startodisk flux ratio and to disk obscuration however subsequent observations revealed other absorption features that lacked these properties and that were probably formed in the disk gas outflow we present here followup observations of ss 433 at orbital and precession phases identical to those from several previous studies with the goals of confirming the detection of the mass donor spectrum and providing more reliable masses for the two system components we show that the absorption features present as well as those previously observed almost certainly belong to the mass donor star and we find revised masses of 123 33 and 43 08 msun for the mass donor and compact object respectively | [['the', 'microquasar', 'ss', '433', 'is', 'an', 'interacting', 'massive', 'binary', 'consisting', 'of', 'an', 'evolved', 'mass', 'donor', 'and', 'a', 'compact', 'companion', 'that', 'ejects', 'relativistic', 'jets', 'the', 'mass', 'donor', 'was', 'previously', 'identified', 'through', 'spectroscopic', 'observations', 'of', 'absorption', 'lines', 'in', 'the', 'blue', 'part', 'of', 'the', 'spectrum', 'that', 'showed', 'doppler', 'shifts', 'associated', 'with', 'orbital', 'motion', 'and', 'strength', 'variations', 'related', 'to', 'the', 'orbital', 'modulation', 'of', 'the', 'startodisk', 'flux', 'ratio', 'and', 'to', 'disk', 'obscuration', 'however', 'subsequent', 'observations', 'revealed', 'other', 'absorption', 'features', 'that', 'lacked', 'these', 'properties', 'and', 'that', 'were', 'probably', 'formed', 'in', 'the', 'disk', 'gas', 'outflow', 'we', 'present', 'here', 'followup', 'observations', 'of', 'ss', '433', 'at', 'orbital', 'and', 'precession', 'phases', 'identical', 'to', 'those', 'from', 'several', 'previous', 'studies', 'with', 'the', 'goals', 'of', 'confirming', 'the', 'detection', 'of', 'the', 'mass', 'donor', 'spectrum', 'and', 'providing', 'more', 'reliable', 'masses', 'for', 'the', 'two', 'system', 'components', 'we', 'show', 'that', 'the', 'absorption', 'features', 'present', 'as', 'well', 'as', 'those', 'previously', 'observed', 'almost', 'certainly', 'belong', 'to', 'the', 'mass', 'donor', 'star', 'and', 'we', 'find', 'revised', 'masses', 'of', '123', '33', 'and', '43', '08', 'msun', 'for', 'the', 'mass', 'donor', 'and', 'compact', 'object', 'respectively']] | [-0.1177821464462843, 0.11338059553125607, -0.020506910318018573, 0.06015968220771361, -0.06658011562005775, -0.10784798650593873, 0.04639540863092662, 0.43716822482906936, -0.1612596212918952, -0.3693884957251745, 0.07943514182793292, -0.2898408384416361, -0.03179017674962157, 0.1908484870998178, -0.033596332277558004, -0.009670955046592008, 0.09704798863579829, -0.030646065648982836, -0.06620159408496964, -0.19671706537741962, 0.31183344187835854, 0.05494986791218146, 0.12260526817357331, -0.003260458999297075, 0.02985813454806543, -0.04530396922872734, -0.03198279287361088, -0.055632996657449335, -0.10262404063316395, 0.05925647345540381, 0.18620674048512303, 0.09339966659831722, 0.15470861711929762, -0.3207238928090825, -0.21518203073143088, 0.00627854118690069, 0.1701170890728197, 0.035250353398160975, -0.07693322406367233, -0.2574863615343674, 0.04522672177657311, -0.20875702178029462, -0.18108832800886132, 0.040873339565808485, 0.0898029359754676, 0.018461191546776445, -0.23641594020617113, 0.1253669970826796, 0.05162617656584742, 0.04351178058341407, -0.17030818605446937, -0.15033682599345125, -0.11573577427839021, 0.07537784094088956, 0.052527368508486286, 0.06499238271396934, 0.154703779306742, -0.08900554066970509, -0.0838103942186381, 0.3827073980689223, -0.0789612267937032, -0.02577967147277505, 0.27128714180349955, -0.20603610074553674, -0.1795374096115256, 0.20368792647659256, 0.12911544448549025, 0.12696872327928785, -0.1599679138900832, -0.0789032438963962, -0.02227522359550958, 0.22489019684978265, 0.04162180192267511, 0.11309984956094614, 0.3424508089624476, 0.11087364752978435, -0.022480383103181355, 0.08592479298781734, -0.23484241791179797, -0.03666769804661734, -0.17748377911136512, -0.10200079300642362, -0.13928694607164405, 0.08959624745164133, -0.059192679635142194, -0.0971128568570647, 0.35255960653922713, 0.10264529446916033, 0.2516869714514935, -0.0016916486453700658, 0.2816245259161581, 0.09137305453806376, 0.08894345550716184, 0.11558531172442854, 0.35173102128401135, 0.1886885269171945, 0.08710050994356038, -0.26780550384928736, 0.031759327596151514, 0.003049271600593252] |
711.4349 | Vertical Shearing Instabilities in Radially Shearing Disks: The Dustiest
Layers of the Protoplanetary Nebula | Gravitational instability of a vertically thin, dusty sheet near the midplane
of a protoplanetary disk has long been proposed as a way of forming
planetesimals. Before Roche densities can be achieved, however, the dust-rich
layer, sandwiched from above and below by more slowly rotating dust-poor gas,
threatens to overturn and mix by the Kelvin-Helmholtz instability (KHI).
Whether such a threat is real has never been demonstrated: the Richardson
criterion for the KHI is derived for 2-D Cartesian shear flow and does not
account for rotational forces. Here we present 3-D numerical simulations of
gas-dust mixtures in a shearing box, accounting for the full suite of
disk-related forces: the Coriolis and centrifugal forces, and radial tidal
gravity. Dust particles are assumed small enough to be perfectly entrained in
gas; the two fluids share the same velocity field but obey separate continuity
equations. We find that the Richardson number Ri does not alone determine
stability. The critical value of Ri below which the dust layer overturns and
mixes depends on the height-integrated metallicity Z (surface density ratio of
dust to gas). Nevertheless, for Z between one and five times solar, the
critical Ri is nearly constant at 0.1. Keplerian radial shear stabilizes those
modes that would otherwise disrupt the layer at large Ri. If Z is at least 5
times greater than the solar value of 0.01, then midplane dust densities can
approach Roche densities. Such an environment might be expected to produce gas
giant planets having similarly super-solar metallicities.
| astro-ph | gravitational instability of a vertically thin dusty sheet near the midplane of a protoplanetary disk has long been proposed as a way of forming planetesimals before roche densities can be achieved however the dustrich layer sandwiched from above and below by more slowly rotating dustpoor gas threatens to overturn and mix by the kelvinhelmholtz instability khi whether such a threat is real has never been demonstrated the richardson criterion for the khi is derived for 2d cartesian shear flow and does not account for rotational forces here we present 3d numerical simulations of gasdust mixtures in a shearing box accounting for the full suite of diskrelated forces the coriolis and centrifugal forces and radial tidal gravity dust particles are assumed small enough to be perfectly entrained in gas the two fluids share the same velocity field but obey separate continuity equations we find that the richardson number ri does not alone determine stability the critical value of ri below which the dust layer overturns and mixes depends on the heightintegrated metallicity z surface density ratio of dust to gas nevertheless for z between one and five times solar the critical ri is nearly constant at 01 keplerian radial shear stabilizes those modes that would otherwise disrupt the layer at large ri if z is at least 5 times greater than the solar value of 001 then midplane dust densities can approach roche densities such an environment might be expected to produce gas giant planets having similarly supersolar metallicities | [['gravitational', 'instability', 'of', 'a', 'vertically', 'thin', 'dusty', 'sheet', 'near', 'the', 'midplane', 'of', 'a', 'protoplanetary', 'disk', 'has', 'long', 'been', 'proposed', 'as', 'a', 'way', 'of', 'forming', 'planetesimals', 'before', 'roche', 'densities', 'can', 'be', 'achieved', 'however', 'the', 'dustrich', 'layer', 'sandwiched', 'from', 'above', 'and', 'below', 'by', 'more', 'slowly', 'rotating', 'dustpoor', 'gas', 'threatens', 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711.435 | Kondo Effect in Spin Chains | The free electron Kondo problem can be described by a one-dimensional (1D)
model because only the s-wave part of the electronic wave-function is affected
by the Kondo coupling. Since only the spin degrees of freedom are involved in
the Kondo interaction, and due to spin-charge separation in 1D, the universal
low energy long distance physics of the Kondo model also arises when a magnetic
impurity is coupled to the end of a gap-less antiferromagnetic J_1-J_2 spin-1/2
chain, where J_1(J_2) is the (next-)nearest neighbor coupling. Experimental
realizations of such spin chain models are possible and using various
analytical and numerical techniques, we present a detailed and quantitative
comparison between the usual free electron Kondo model and such spin chain
versions of the Kondo problem. For the gap-less J_1-J_2 spin chain two cases
are studied, with zero next nearest neighbor coupling, J_2=0, and with a
critical second neighbor coupling, J_2=J_2c. We first focus on the spin chain
impurity model at J_2c~0.2412 where a bulk marginal coupling present in the
spin chain model for J_2<J_2c vanishes. At J_2c, the usual Kondo physics is
recovered in the spin chain model in the low energy regime. We then analyze the
nearest-neighbor model (J_2=0) where a new kind of Kondo effect occurs due to
the presence of the bulk marginal coupling. This marginal coupling leads to a
slower variation of the Kondo temperature T_K with the bare Kondo coupling. In
the exact Bethe ansatz solution of this spin chain impurity model (J_2=0) Frahm
and Zvyagin noted this relation as well as the connection to the Kondo problem.
Here, we provide further evidence for the connection to Kondo physics and
present low temperature QMC results for the impurity susceptibility that
further support this connection.
| cond-mat.str-el cond-mat.mes-hall | the free electron kondo problem can be described by a onedimensional 1d model because only the swave part of the electronic wavefunction is affected by the kondo coupling since only the spin degrees of freedom are involved in the kondo interaction and due to spincharge separation in 1d the universal low energy long distance physics of the kondo model also arises when a magnetic impurity is coupled to the end of a gapless antiferromagnetic j_1j_2 spin12 chain where j_1j_2 is the nextnearest neighbor coupling experimental realizations of such spin chain models are possible and using various analytical and numerical techniques we present a detailed and quantitative comparison between the usual free electron kondo model and such spin chain versions of the kondo problem for the gapless j_1j_2 spin chain two cases are studied with zero next nearest neighbor coupling j_20 and with a critical second neighbor coupling j_2j_2c we first focus on the spin chain impurity model at j_2c02412 where a bulk marginal coupling present in the spin chain model for j_2j_2c vanishes at j_2c the usual kondo physics is recovered in the spin chain model in the low energy regime we then analyze the nearestneighbor model j_20 where a new kind of kondo effect occurs due to the presence of the bulk marginal coupling this marginal coupling leads to a slower variation of the kondo temperature t_k with the bare kondo coupling in the exact bethe ansatz solution of this spin chain impurity model j_20 frahm and zvyagin noted this relation as well as the connection to the kondo problem here we provide further evidence for the connection to kondo physics and present low temperature qmc results for the impurity susceptibility that further support this connection | [['the', 'free', 'electron', 'kondo', 'problem', 'can', 'be', 'described', 'by', 'a', 'onedimensional', '1d', 'model', 'because', 'only', 'the', 'swave', 'part', 'of', 'the', 'electronic', 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711.4351 | The M33 Metallicity Project: Resolving the Abundance Gradient
Discrepancies in M33 | We present a new determination of the metallicity gradient in M33, based on
Keck/LRIS measurements of oxygen abundances using the temperature-sensitive
emission line [OIII] 4363 A in 61 HII regions. These data approximately triple
the sample of direct oxygen abundances in M33. We find a central abundance of
12 + log(O/H) = 8.36+/-0.04 and a slope of -0.027+/-0.012 dex/kpc, in agreement
with infrared measurements of the neon abundance gradient but much shallower
than most previous oxygen gradient measurements. There is substantial intrinsic
scatter of 0.11 dex in the metallicity at any given radius in M33, which
imposes a fundamental limit on the accuracy of gradient measurements that rely
on small samples of objects. We also show that the ionization state of neon
does not follow the ionization state of oxygen as is commonly assumed,
suggesting that neon abundance measurements from optical emission lines require
careful treatment of the ionization corrections.
| astro-ph | we present a new determination of the metallicity gradient in m33 based on kecklris measurements of oxygen abundances using the temperaturesensitive emission line oiii 4363 a in 61 hii regions these data approximately triple the sample of direct oxygen abundances in m33 we find a central abundance of 12 logoh 836004 and a slope of 00270012 dexkpc in agreement with infrared measurements of the neon abundance gradient but much shallower than most previous oxygen gradient measurements there is substantial intrinsic scatter of 011 dex in the metallicity at any given radius in m33 which imposes a fundamental limit on the accuracy of gradient measurements that rely on small samples of objects we also show that the ionization state of neon does not follow the ionization state of oxygen as is commonly assumed suggesting that neon abundance measurements from optical emission lines require careful treatment of the ionization corrections | [['we', 'present', 'a', 'new', 'determination', 'of', 'the', 'metallicity', 'gradient', 'in', 'm33', 'based', 'on', 'kecklris', 'measurements', 'of', 'oxygen', 'abundances', 'using', 'the', 'temperaturesensitive', 'emission', 'line', 'oiii', '4363', 'a', 'in', '61', 'hii', 'regions', 'these', 'data', 'approximately', 'triple', 'the', 'sample', 'of', 'direct', 'oxygen', 'abundances', 'in', 'm33', 'we', 'find', 'a', 'central', 'abundance', 'of', '12', 'logoh', '836004', 'and', 'a', 'slope', 'of', '00270012', 'dexkpc', 'in', 'agreement', 'with', 'infrared', 'measurements', 'of', 'the', 'neon', 'abundance', 'gradient', 'but', 'much', 'shallower', 'than', 'most', 'previous', 'oxygen', 'gradient', 'measurements', 'there', 'is', 'substantial', 'intrinsic', 'scatter', 'of', '011', 'dex', 'in', 'the', 'metallicity', 'at', 'any', 'given', 'radius', 'in', 'm33', 'which', 'imposes', 'a', 'fundamental', 'limit', 'on', 'the', 'accuracy', 'of', 'gradient', 'measurements', 'that', 'rely', 'on', 'small', 'samples', 'of', 'objects', 'we', 'also', 'show', 'that', 'the', 'ionization', 'state', 'of', 'neon', 'does', 'not', 'follow', 'the', 'ionization', 'state', 'of', 'oxygen', 'as', 'is', 'commonly', 'assumed', 'suggesting', 'that', 'neon', 'abundance', 'measurements', 'from', 'optical', 'emission', 'lines', 'require', 'careful', 'treatment', 'of', 'the', 'ionization', 'corrections']] | [-0.020764653389549446, 0.07225743867775859, -0.04250872052555317, 0.028460947951391237, 0.001073186398222277, -0.0659709139567583, 0.11512111918522326, 0.47852475114472925, -0.12610724172634646, -0.346042673862603, -0.0008123669444825755, -0.3180700226444496, 0.03156929344659646, 0.17428338420991976, -0.06730251320101933, -0.028129774144187263, 0.07097994474923774, -0.07851866888175782, -0.10281380082397683, -0.2304311068712619, 0.26913201133082687, 0.05486261776061601, 0.2146172694517427, 0.022232591212816434, 0.014006126121050129, -0.13345662512727183, -0.06220371707993215, 0.010665505193173885, -0.15724415686343315, 0.0896270516621944, 0.23210614434545476, 0.08917136892536018, 0.19694088541580465, -0.36089564934475565, -0.2089076448927238, 0.07416572421470223, 0.20532504916478153, 0.0755454909896848, -0.1400976029714276, -0.20249342059155237, -0.01614828111782466, -0.11194229058997884, -0.14475276707097479, 0.06828410471215436, 0.028486308048492018, 0.030042413153290135, -0.2535138632878916, 0.19136180191708263, -0.01344632666258218, 0.16042276331516978, -0.0988874375558624, -0.18930048770622082, -0.10664689093700623, 0.029594522693564426, -0.024259342234709286, 0.05451188146213248, 0.23990672094466753, -0.09743918109149353, 0.02091923812468064, 0.39252863529661336, -0.14594024429881183, -0.00900587390419351, 0.18986498366256743, -0.21316885286208548, -0.2195219480183792, 0.17100786773985482, 0.10362788925444937, 0.15704126644254446, -0.13273957605180267, 0.030195694998439326, -0.04369345219879194, 0.2883404485677203, 0.04720164886484408, 0.06816636049303294, 0.22351235452376, 0.08142451536586534, 0.09263139415878408, 0.004806728474237663, -0.22993318123060394, -0.03861917138150702, -0.2562710225377997, -0.15522889454198413, -0.08768261084333062, 0.09624567921028221, -0.16076193968910957, -0.18354021692138217, 0.2867112688988141, 0.14844929348447755, 0.24613768780884676, -0.00021303552824825252, 0.3271158616989851, 0.1039853389071913, 0.1188832288607955, 0.08806061693658568, 0.3454150673614381, 0.21133528244107552, 0.06950378882992145, -0.28222882085358597, 0.17165935801801413, 0.025235145160615802] |
711.4352 | Methods for Rapidly Processing Angular Masks of Next-Generation Galaxy
Surveys | As galaxy surveys become larger and more complex, keeping track of the
completeness, magnitude limit, and other survey parameters as a function of
direction on the sky becomes an increasingly challenging computational task.
For example, typical angular masks of the Sloan Digital Sky Survey contain
about N=300,000 distinct spherical polygons. Managing masks with such large
numbers of polygons becomes intractably slow, particularly for tasks that run
in time O(N^2) with a naive algorithm, such as finding which polygons overlap
each other. Here we present a "divide-and-conquer" solution to this challenge:
we first split the angular mask into predefined regions called "pixels," such
that each polygon is in only one pixel, and then perform further computations,
such as checking for overlap, on the polygons within each pixel separately.
This reduces O(N^2) tasks to O(N), and also reduces the important task of
determining in which polygon(s) a point on the sky lies from O(N) to O(1),
resulting in significant computational speedup. Additionally, we present a
method to efficiently convert any angular mask to and from the popular HEALPix
format. This method can be generically applied to convert to and from any
desired spherical pixelization. We have implemented these techniques in a new
version of the mangle software package, which is freely available at
http://space.mit.edu/home/tegmark/mangle/, along with complete documentation
and example applications. These new methods should prove quite useful to the
astronomical community, and since mangle is a generic tool for managing angular
masks on a sphere, it has the potential to benefit terrestrial mapmaking
applications as well.
| astro-ph | as galaxy surveys become larger and more complex keeping track of the completeness magnitude limit and other survey parameters as a function of direction on the sky becomes an increasingly challenging computational task for example typical angular masks of the sloan digital sky survey contain about n300000 distinct spherical polygons managing masks with such large numbers of polygons becomes intractably slow particularly for tasks that run in time on2 with a naive algorithm such as finding which polygons overlap each other here we present a divideandconquer solution to this challenge we first split the angular mask into predefined regions called pixels such that each polygon is in only one pixel and then perform further computations such as checking for overlap on the polygons within each pixel separately this reduces on2 tasks to on and also reduces the important task of determining in which polygons a point on the sky lies from on to o1 resulting in significant computational speedup additionally we present a method to efficiently convert any angular mask to and from the popular healpix format this method can be generically applied to convert to and from any desired spherical pixelization we have implemented these techniques in a new version of the mangle software package which is freely available at httpspacemiteduhometegmarkmangle along with complete documentation and example applications these new methods should prove quite useful to the astronomical community and since mangle is a generic tool for managing angular masks on a sphere it has the potential to benefit terrestrial mapmaking applications as well | [['as', 'galaxy', 'surveys', 'become', 'larger', 'and', 'more', 'complex', 'keeping', 'track', 'of', 'the', 'completeness', 'magnitude', 'limit', 'and', 'other', 'survey', 'parameters', 'as', 'a', 'function', 'of', 'direction', 'on', 'the', 'sky', 'becomes', 'an', 'increasingly', 'challenging', 'computational', 'task', 'for', 'example', 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711.4353 | Experimental constraints on fourth generation quark masses | The existing bounds from CDF on the masses of the fourth generation quarks,
t' and b', are reexamined. The bound of 256 GeV on the t' mass assumes that the
primary decay of the t' is into q+W, which is not the case for a substantial
region of parameter space. The bound of 268 GeV on the b' mass assumes that the
branching ratio for b' --> b+Z is very large, which is not only not true for
much of parameter space, but is {\em never} true for b' masses above 255 GeV.
In addition, it is assumed that the heavy quarks decay within the silicon
vertex detector, and for small mixing angles this will not be the case. The
experimental bounds, including all of these effects, are found as a function of
the other heavy quark mass and the mixing angle.
| hep-ph hep-ex | the existing bounds from cdf on the masses of the fourth generation quarks t and b are reexamined the bound of 256 gev on the t mass assumes that the primary decay of the t is into qw which is not the case for a substantial region of parameter space the bound of 268 gev on the b mass assumes that the branching ratio for b bz is very large which is not only not true for much of parameter space but is em never true for b masses above 255 gev in addition it is assumed that the heavy quarks decay within the silicon vertex detector and for small mixing angles this will not be the case the experimental bounds including all of these effects are found as a function of the other heavy quark mass and the mixing angle | [['the', 'existing', 'bounds', 'from', 'cdf', 'on', 'the', 'masses', 'of', 'the', 'fourth', 'generation', 'quarks', 't', 'and', 'b', 'are', 'reexamined', 'the', 'bound', 'of', '256', 'gev', 'on', 'the', 't', 'mass', 'assumes', 'that', 'the', 'primary', 'decay', 'of', 'the', 't', 'is', 'into', 'qw', 'which', 'is', 'not', 'the', 'case', 'for', 'a', 'substantial', 'region', 'of', 'parameter', 'space', 'the', 'bound', 'of', '268', 'gev', 'on', 'the', 'b', 'mass', 'assumes', 'that', 'the', 'branching', 'ratio', 'for', 'b', 'bz', 'is', 'very', 'large', 'which', 'is', 'not', 'only', 'not', 'true', 'for', 'much', 'of', 'parameter', 'space', 'but', 'is', 'em', 'never', 'true', 'for', 'b', 'masses', 'above', '255', 'gev', 'in', 'addition', 'it', 'is', 'assumed', 'that', 'the', 'heavy', 'quarks', 'decay', 'within', 'the', 'silicon', 'vertex', 'detector', 'and', 'for', 'small', 'mixing', 'angles', 'this', 'will', 'not', 'be', 'the', 'case', 'the', 'experimental', 'bounds', 'including', 'all', 'of', 'these', 'effects', 'are', 'found', 'as', 'a', 'function', 'of', 'the', 'other', 'heavy', 'quark', 'mass', 'and', 'the', 'mixing', 'angle']] | [-0.08258238827177251, 0.2651055358673928, -0.023882730870593526, 0.09017965123503212, -0.03744267853280754, -0.13384294298523708, 0.08135097182904047, 0.3249091869021984, -0.20689542610066156, -0.3115786799619384, 0.07162748910866493, -0.2723798223156878, 0.004709895444267713, 0.19765531437980102, 0.016731011334283223, 0.039629286013094456, 0.0640898243728893, 0.07729158850043272, -0.06669290365274758, -0.23216800048950637, 0.29157023729280906, 0.0285052035717254, 0.20648059706659394, 0.11870919818269975, 0.045725132094313066, -0.012162390232733484, -0.0007090538918496447, -0.04236556843281492, -0.1138129171490457, 0.02157579959495693, 0.14497599051398363, 0.09088721866422195, 0.18128064690910756, -0.2866447457634177, -0.15187652312146488, 0.1384596445643944, 0.14460612581349275, 0.043935921936500685, -0.04709281288632291, -0.26252876073518333, 0.12726575609772128, -0.15750747995867215, -0.08913173019251924, -0.005084590880689046, 0.05203550633584671, -0.03459428132557911, -0.34284040058388354, 0.08737727399281364, 0.04640133449054779, -0.029824118308247403, -0.019997819823853617, -0.21831236304781326, -0.07781772676802484, 0.07009025936919852, 0.08928163692764673, 0.07405886518049008, 0.12364111795108303, -0.13157322370209434, -0.06588921139713588, 0.3967386268686952, -0.0668251759716118, -0.18890469253116043, 0.17248467959344704, -0.23254924369579616, -0.11143988608845001, 0.14164791402823113, 0.18595453444207813, 0.1279722344995549, -0.17278513006192256, 0.13071574841284173, -0.0969266877740833, 0.17823235279754968, 0.050498351570324486, 0.047606414920445664, 0.2046831149198379, 0.1604418784168595, 0.07613245837046956, 0.03392255311156458, -0.13743158374873407, -0.07231243564714249, -0.37322648947543285, -0.1335413034993772, -0.1796225766314471, 0.028528286550765367, -0.08583004709553214, -0.12027095695990567, 0.36389770739256067, 0.09595822259215704, 0.2584786638155157, 0.04355599473111649, 0.2761127769365801, 0.10479340710799401, 0.12356386545233111, 0.10008893156728, 0.34280220144395285, 0.1470743795173203, 0.10255735891653185, -0.19124575932378093, 0.08343635377282581, 0.04382237009638062] |
711.4354 | Complete Six-Gluon Disk Amplitude in Superstring Theory | We evaluate all next-to-maximal helicity violating (NMHV) six-gluon
amplitudes in type I open superstring theory in four dimensions, at the disk
level, to all orders in alpha'. Although the computation utilizes
supersymmetric Ward identities, the result holds for all compactifications,
even for those that break supersymmetry and is completely model-independent.
Together with the maximally helicity violating (MHV) amplitudes presented in
the previous work, our results provide the complete six-gluon disk amplitude.
| hep-th | we evaluate all nexttomaximal helicity violating nmhv sixgluon amplitudes in type i open superstring theory in four dimensions at the disk level to all orders in alpha although the computation utilizes supersymmetric ward identities the result holds for all compactifications even for those that break supersymmetry and is completely modelindependent together with the maximally helicity violating mhv amplitudes presented in the previous work our results provide the complete sixgluon disk amplitude | [['we', 'evaluate', 'all', 'nexttomaximal', 'helicity', 'violating', 'nmhv', 'sixgluon', 'amplitudes', 'in', 'type', 'i', 'open', 'superstring', 'theory', 'in', 'four', 'dimensions', 'at', 'the', 'disk', 'level', 'to', 'all', 'orders', 'in', 'alpha', 'although', 'the', 'computation', 'utilizes', 'supersymmetric', 'ward', 'identities', 'the', 'result', 'holds', 'for', 'all', 'compactifications', 'even', 'for', 'those', 'that', 'break', 'supersymmetry', 'and', 'is', 'completely', 'modelindependent', 'together', 'with', 'the', 'maximally', 'helicity', 'violating', 'mhv', 'amplitudes', 'presented', 'in', 'the', 'previous', 'work', 'our', 'results', 'provide', 'the', 'complete', 'sixgluon', 'disk', 'amplitude']] | [-0.15793711469757934, 0.2052065165201858, -0.008984384435215886, 0.15587773189296236, -0.06695701035631585, -0.11894180665028767, 0.041910800982830704, 0.2931934233990983, -0.09689897173543421, -0.24194359627198164, 0.03961186276742218, -0.26957142949891344, -0.1447375604200741, 0.15655796514482986, -0.03190364828292267, 0.05116688550620432, 0.027172724834420313, -0.050678405651255365, -0.07352652785722429, -0.31511068969807576, 0.3142446092539795, -0.06988589132440762, 0.2471484804499737, 0.05540484246391226, 0.017094517769423168, 0.04391973451252135, -0.10098632115503432, -0.048758274108223934, -0.1126342540985821, 0.09480410629414468, 0.251542848870191, 0.11578847821408385, -0.00047048388547460797, -0.4543685363474446, -0.1253343068397748, 0.05034228164414075, 0.1914967080761849, 0.13823502476681288, 0.06865969656074655, -0.2094868378530086, 0.07409763486701733, -0.15181694597884698, -0.21037852058423237, -0.12677580261157012, 0.04325055502171458, -0.15657317394416936, -0.29373308665997966, 0.10161584775737474, 0.022523032632512107, 0.015458330728480933, -0.01984606665545996, -0.14607071807496513, -0.04227463814797221, 0.10914566575116674, 0.11157969198137208, 0.09812022128649069, 0.07070308035029702, -0.19062766539903184, -0.20613102289572569, 0.3082037389107888, -0.02422058546889416, -0.20238989276785246, 0.11817116842565822, -0.24041559628512657, -0.2846948175172938, 0.12462541136995588, 0.05877253487968529, 0.11348598707519786, -0.15965710670857783, 0.21790297633007458, -0.02282436766569883, 0.12647245203072705, 0.1887062440140986, 0.07264804112738077, 0.19027658593906482, 0.05742216962643794, 0.026708705534397716, 0.1007157356812763, -0.02300685483955739, -0.07626985721814801, -0.4679908819995086, -0.09213844819230513, -0.03540662144028752, 0.09190979982975503, -0.1331941056666604, -0.14157040825139888, 0.3590459941646976, 0.11218007337826659, 0.14517697996236908, 0.15622831854811856, 0.2742186695678343, 0.14092208538368398, 0.11040891061576319, 0.11886202573651632, 0.27789320457648015, 0.14650265661291254, 0.10739710971280197, -0.23211790081179162, -0.07455133707065817, 0.1790055493286378] |
711.4355 | Kinetic Simulations of Magnetized Turbulence in Astrophysical Plasmas | This letter presents the first ab initio, fully electromagnetic, kinetic
simulations of magnetized turbulence in a homogeneous, weakly collisional
plasma at the scale of the ion Larmor radius (ion gyroscale). Magnetic and
electric-field energy spectra show a break at the ion gyroscale; the spectral
slopes are consistent with scaling predictions for critically balanced
turbulence of Alfven waves above the ion gyroscale (spectral index -5/3) and of
kinetic Alfven waves below the ion gyroscale (spectral indices of -7/3 for
magnetic and -1/3 for electric fluctuations). This behavior is also
qualitatively consistent with in situ measurements of turbulence in the solar
wind. Our findings support the hypothesis that the frequencies of turbulent
fluctuations in the solar wind remain well below the ion cyclotron frequency
both above and below the ion gyroscale.
| astro-ph | this letter presents the first ab initio fully electromagnetic kinetic simulations of magnetized turbulence in a homogeneous weakly collisional plasma at the scale of the ion larmor radius ion gyroscale magnetic and electricfield energy spectra show a break at the ion gyroscale the spectral slopes are consistent with scaling predictions for critically balanced turbulence of alfven waves above the ion gyroscale spectral index 53 and of kinetic alfven waves below the ion gyroscale spectral indices of 73 for magnetic and 13 for electric fluctuations this behavior is also qualitatively consistent with in situ measurements of turbulence in the solar wind our findings support the hypothesis that the frequencies of turbulent fluctuations in the solar wind remain well below the ion cyclotron frequency both above and below the ion gyroscale | [['this', 'letter', 'presents', 'the', 'first', 'ab', 'initio', 'fully', 'electromagnetic', 'kinetic', 'simulations', 'of', 'magnetized', 'turbulence', 'in', 'a', 'homogeneous', 'weakly', 'collisional', 'plasma', 'at', 'the', 'scale', 'of', 'the', 'ion', 'larmor', 'radius', 'ion', 'gyroscale', 'magnetic', 'and', 'electricfield', 'energy', 'spectra', 'show', 'a', 'break', 'at', 'the', 'ion', 'gyroscale', 'the', 'spectral', 'slopes', 'are', 'consistent', 'with', 'scaling', 'predictions', 'for', 'critically', 'balanced', 'turbulence', 'of', 'alfven', 'waves', 'above', 'the', 'ion', 'gyroscale', 'spectral', 'index', '53', 'and', 'of', 'kinetic', 'alfven', 'waves', 'below', 'the', 'ion', 'gyroscale', 'spectral', 'indices', 'of', '73', 'for', 'magnetic', 'and', '13', 'for', 'electric', 'fluctuations', 'this', 'behavior', 'is', 'also', 'qualitatively', 'consistent', 'with', 'in', 'situ', 'measurements', 'of', 'turbulence', 'in', 'the', 'solar', 'wind', 'our', 'findings', 'support', 'the', 'hypothesis', 'that', 'the', 'frequencies', 'of', 'turbulent', 'fluctuations', 'in', 'the', 'solar', 'wind', 'remain', 'well', 'below', 'the', 'ion', 'cyclotron', 'frequency', 'both', 'above', 'and', 'below', 'the', 'ion', 'gyroscale']] | [-0.13421454015115725, 0.3340754807338321, -0.022901195123098617, 0.09845277196059884, 0.03199358833159587, -0.07534417519598564, -0.040512977344843076, 0.3513125058176906, -0.22818202074155097, -0.33300161641813064, -0.010067778588958489, -0.28814427876599535, 0.040408866093746686, 0.22448921156641052, 0.06979987321262673, 0.05272699724666254, 0.03314568822149389, -0.032649753239843274, -0.00014116821626504494, -0.043925709165127357, 0.2793108095638743, 0.20912687301404717, 0.2673456706106663, 0.09700650544548335, 0.04093883555498003, -0.12459986750216967, 0.018883180782891983, 0.026252397913630158, -0.16180841885063782, 0.047942408403858196, 0.20026506893174334, -0.009259773674601502, 0.2315344726233635, -0.4463503974058499, -0.25913838001487904, -0.04146786514929561, 0.18742551195594057, 0.0805529021015463, -0.04313590045920898, -0.17149229135450927, 0.0526966909794931, -0.14712316052656071, -0.17189739621063882, 0.029702860807870015, 0.027488854244466898, 0.11113289441388144, -0.30812813274475725, 0.17524366697153013, 0.05538787008461708, 0.13771810132086046, -0.15945736408349157, -0.10315012623548739, -0.04821747123415387, -0.021841954310828922, 0.08981194431431476, 0.026520749341963624, 0.24398902983426354, -0.08717801188328123, -0.043326089043141336, 0.37278611316930416, -0.09192690832988006, -0.08666099313657384, 0.17816316900962545, -0.2838959920241736, -0.09849944544320767, 0.22018203223773905, 0.1342682290764511, 0.05658558060869921, -0.08176181038260431, 0.00779989046087965, -0.024931792161687342, 0.18391223070391632, 0.09414902242088272, 0.02746277088082807, 0.27628889243125687, 0.15830456868965584, 0.0030975962570298087, 0.03656302432449762, -0.1711491443453241, 0.009351593712994526, -0.29758128794559907, -0.08954441316368043, -0.17384043278158173, 0.027509422010792664, -0.07363906928350293, -0.17221756512660158, 0.43192708061993584, 0.19538637273764425, 0.12196431466371052, 0.009875864703785773, 0.309042233739106, 0.14484154176717812, -0.020752927710757006, 0.18442989721562164, 0.332579410974254, 0.22229496913767138, 0.21210872864913802, -0.3283058205807163, -0.007147146619914114, 0.013332919499208762] |
711.4356 | Transformations between 2MASS, SDSS and BVRI photometric systems:
bridging the near infrared and optical | We present colour transformations for the conversion of the {\em 2MASS}
photometric system to the Johnson-Cousins $UBVRI$ system and further into the
{\em SDSS} $ugriz$ system. We have taken {\em SDSS} $gri$ magnitudes of stars
measured with the 2.5-m telescope from $SDSS$ Data Release 5 (DR5), and $BVRI$
and $JHK_{s}$ magnitudes from Stetson's catalogue and \citet{Cu03},
respectively. We matched thousands of stars in the three photometric systems by
their coordinates and obtained a homogeneous sample of 825 stars by the
following constraints, which are not used in previous transformations: 1) the
data are de-reddened, 2) giants are omitted, and 3) the sample stars selected
are of the highest quality. We give metallicity, population type, and
transformations dependent on two colours. The transformations provide absolute
magnitude and distance determinations which can be used in space density
evaluations at short distances where some or all of the {\em SDSS} $ugriz$
magnitudes are saturated. The combination of these densities with those
evaluated at larger distances using {\em SDSS} $ugriz$ photometry will supply
accurate Galactic model parameters, particularly the local space densities for
each population.
| astro-ph | we present colour transformations for the conversion of the em 2mass photometric system to the johnsoncousins ubvri system and further into the em sdss ugriz system we have taken em sdss gri magnitudes of stars measured with the 25m telescope from sdss data release 5 dr5 and bvri and jhk_s magnitudes from stetsons catalogue and citetcu03 respectively we matched thousands of stars in the three photometric systems by their coordinates and obtained a homogeneous sample of 825 stars by the following constraints which are not used in previous transformations 1 the data are dereddened 2 giants are omitted and 3 the sample stars selected are of the highest quality we give metallicity population type and transformations dependent on two colours the transformations provide absolute magnitude and distance determinations which can be used in space density evaluations at short distances where some or all of the em sdss ugriz magnitudes are saturated the combination of these densities with those evaluated at larger distances using em sdss ugriz photometry will supply accurate galactic model parameters particularly the local space densities for each population | [['we', 'present', 'colour', 'transformations', 'for', 'the', 'conversion', 'of', 'the', 'em', '2mass', 'photometric', 'system', 'to', 'the', 'johnsoncousins', 'ubvri', 'system', 'and', 'further', 'into', 'the', 'em', 'sdss', 'ugriz', 'system', 'we', 'have', 'taken', 'em', 'sdss', 'gri', 'magnitudes', 'of', 'stars', 'measured', 'with', 'the', '25m', 'telescope', 'from', 'sdss', 'data', 'release', '5', 'dr5', 'and', 'bvri', 'and', 'jhk_s', 'magnitudes', 'from', 'stetsons', 'catalogue', 'and', 'citetcu03', 'respectively', 'we', 'matched', 'thousands', 'of', 'stars', 'in', 'the', 'three', 'photometric', 'systems', 'by', 'their', 'coordinates', 'and', 'obtained', 'a', 'homogeneous', 'sample', 'of', '825', 'stars', 'by', 'the', 'following', 'constraints', 'which', 'are', 'not', 'used', 'in', 'previous', 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711.4357 | A note on the \alpha-invariant of the Mukai-Umemura 3-fold | We give an elementary argument to compute the $\alpha$-invariant of this Fano
3-fold, which implies the existence of a Kahler-Einstein metric.
| math.DG math.AG | we give an elementary argument to compute the alphainvariant of this fano 3fold which implies the existence of a kahlereinstein metric | [['we', 'give', 'an', 'elementary', 'argument', 'to', 'compute', 'the', 'alphainvariant', 'of', 'this', 'fano', '3fold', 'which', 'implies', 'the', 'existence', 'of', 'a', 'kahlereinstein', 'metric']] | [-0.271838624562536, -0.019015595366086234, -0.1841468381739798, 0.14096259730978913, -0.1037494276783296, -0.15867033687287144, 0.04207457557675384, 0.27082420734777335, -0.2285726781757105, -0.2086767666041851, 0.034849654417485, -0.19638139896449588, -0.2226710822460951, 0.14576711141992182, -0.18755209547955365, -0.07863240343119417, 0.008308118497509332, 0.08931347319767588, -0.1063089460755388, -0.32416755244845435, 0.4757630681352956, -0.029088225747857775, 0.2381622436500731, 0.2166671191475221, 0.15033097986486696, 0.005663224362901279, 0.04488189961938631, -0.04630628565237636, -0.234329476198625, 0.20925361139788515, 0.27121854493660585, 0.12309232682344459, 0.15614405420741864, -0.34489764982745763, -0.09321076167924773, 0.22446230249035926, 0.07727513819312055, 0.1352271030690255, -0.038808468729257584, -0.2511349825986794, 0.1244421208809529, -0.13325459385911623, -0.2918097061060724, -0.12850528157183103, -0.016525543782682645, -0.007690073212697392, -0.2053156304838402, -0.03299702020982901, 0.19304656166405904, 0.05943127415542092, -0.031499602077972325, -0.003983915473024051, -0.04707688714067141, -0.023031295343701328, 0.0775857882662898, 0.06726246047765017, 0.10709083044812792, -0.0676941542464885, -0.1696890591466356, 0.31596688748825164, -0.13018260749855212, -0.20392068369047983, 0.06298461556434631, -0.08969773440843537, -0.09965699591806956, 0.20291605077329136, 0.10815839735524994, 0.25700053359780994, -0.029363971469657763, 0.09354576255593981, -0.1353571843355894, 0.1202307634853891, 0.11644740118866875, 0.020810691484560568, 0.07790289491060234, 0.09362873913986343, 0.2156975002781976, 0.13209029251620882, 0.0006510757264636812, -0.007767390725868089, -0.43020081023375195, -0.2489268747823579, -0.12393131160310336, 0.35843771378997535, -0.1638531144264908, -0.2751084360338393, 0.410905835883958, -0.009591864333266304, 0.2842917055601165, 0.1083375738013447, 0.18111968563780897, 0.0740341583178157, -0.049698161404757274, 0.01547889087703966, 0.26202414164851817, 0.2018933668732643, -0.017205913240710895, -0.17053113593941643, -0.03510410218898739, 0.23681113904430753] |
711.4358 | Inertial range turbulence in kinetic plasmas | The transfer of turbulent energy through an inertial range from the driving
scale to dissipative scales in a kinetic plasma followed by the conversion of
this energy into heat is a fundamental plasma physics process. A theoretical
foundation for the study of this process is constructed, but the details of the
kinetic cascade are not well understood. Several important properties are
identified: (a) the conservation of a generalized energy by the cascade; (b)
the need for collisions to increase entropy and realize irreversible plasma
heating; and (c) the key role played by the entropy cascade--a dual cascade of
energy to small scales in both physical and velocity space--to convert
ultimately the turbulent energy into heat. A strategy for nonlinear numerical
simulations of kinetic turbulence is outlined. Initial numerical results are
consistent with the operation of the entropy cascade. Inertial range turbulence
arises in a broad range of space and astrophysical plasmas and may play an
important role in the thermalization of fusion energy in burning plasmas.
| astro-ph | the transfer of turbulent energy through an inertial range from the driving scale to dissipative scales in a kinetic plasma followed by the conversion of this energy into heat is a fundamental plasma physics process a theoretical foundation for the study of this process is constructed but the details of the kinetic cascade are not well understood several important properties are identified a the conservation of a generalized energy by the cascade b the need for collisions to increase entropy and realize irreversible plasma heating and c the key role played by the entropy cascadea dual cascade of energy to small scales in both physical and velocity spaceto convert ultimately the turbulent energy into heat a strategy for nonlinear numerical simulations of kinetic turbulence is outlined initial numerical results are consistent with the operation of the entropy cascade inertial range turbulence arises in a broad range of space and astrophysical plasmas and may play an important role in the thermalization of fusion energy in burning plasmas | [['the', 'transfer', 'of', 'turbulent', 'energy', 'through', 'an', 'inertial', 'range', 'from', 'the', 'driving', 'scale', 'to', 'dissipative', 'scales', 'in', 'a', 'kinetic', 'plasma', 'followed', 'by', 'the', 'conversion', 'of', 'this', 'energy', 'into', 'heat', 'is', 'a', 'fundamental', 'plasma', 'physics', 'process', 'a', 'theoretical', 'foundation', 'for', 'the', 'study', 'of', 'this', 'process', 'is', 'constructed', 'but', 'the', 'details', 'of', 'the', 'kinetic', 'cascade', 'are', 'not', 'well', 'understood', 'several', 'important', 'properties', 'are', 'identified', 'a', 'the', 'conservation', 'of', 'a', 'generalized', 'energy', 'by', 'the', 'cascade', 'b', 'the', 'need', 'for', 'collisions', 'to', 'increase', 'entropy', 'and', 'realize', 'irreversible', 'plasma', 'heating', 'and', 'c', 'the', 'key', 'role', 'played', 'by', 'the', 'entropy', 'cascadea', 'dual', 'cascade', 'of', 'energy', 'to', 'small', 'scales', 'in', 'both', 'physical', 'and', 'velocity', 'spaceto', 'convert', 'ultimately', 'the', 'turbulent', 'energy', 'into', 'heat', 'a', 'strategy', 'for', 'nonlinear', 'numerical', 'simulations', 'of', 'kinetic', 'turbulence', 'is', 'outlined', 'initial', 'numerical', 'results', 'are', 'consistent', 'with', 'the', 'operation', 'of', 'the', 'entropy', 'cascade', 'inertial', 'range', 'turbulence', 'arises', 'in', 'a', 'broad', 'range', 'of', 'space', 'and', 'astrophysical', 'plasmas', 'and', 'may', 'play', 'an', 'important', 'role', 'in', 'the', 'thermalization', 'of', 'fusion', 'energy', 'in', 'burning', 'plasmas']] | [-0.1163176771029035, 0.2298321635677073, -0.06330569490517785, 0.08802805679986306, -0.00473576817070929, -0.054123214073159745, -0.03309106711218724, 0.30657563856007847, -0.3062752848263921, -0.3102906916358667, 0.05679753130776013, -0.20745443306272712, -0.029573624720796943, 0.23588306694994282, 0.024104719470459515, 0.07451663433755862, 0.06095417016526548, -0.012603029767732794, 0.013344402654982376, -0.11398207320172976, 0.3347493368995989, 0.1797550941111872, 0.28277051905965117, 0.09812496398098586, 0.10029418563481601, -0.07120496651339459, -0.057601074611472826, 0.010212772514311904, -0.14908381372559942, 0.06431577084802528, 0.24302300321301673, 0.06648437014536751, 0.30527712245437705, -0.43112244654060683, -0.305204873092518, 0.0546356361599287, 0.15362720824806475, 0.07924072186621588, -0.08071029261279875, -0.18751858323585333, 0.020592041177357117, -0.1879546001905621, -0.07737918570069824, -0.061914172707829715, 0.040083822524515776, 0.04451736576107777, -0.30503127649256095, 0.12787562328186342, 0.10204934458625957, 0.029142602799721515, -0.07620709322580341, -0.062172997913255194, -0.060919503583402444, 0.10053773196030795, 0.051320254664638125, 0.00044765075946953605, 0.2021724933179141, -0.16452932714487473, -0.06538220400291654, 0.41387881788357, -0.028879541875340226, -0.16454701079055667, 0.21716792230343832, -0.11154657140340112, -0.09120502041811805, 0.18249458337781904, 0.18178892746942527, 0.07094499733577278, -0.1385984972045507, 0.04204661877671109, -0.00032946902111445257, 0.12067158702653037, 0.021603017434954824, 0.04814556859740306, 0.23858410877561786, 0.2179236102326796, 0.011734540631040567, 0.11932206059175703, -0.07326183339336706, -0.1370241171325466, -0.36048193784748633, -0.17319562465730465, -0.16844963403305085, 0.08080974040812423, -0.04815309563402879, -0.12761378618384564, 0.38646929851653644, 0.1608429858326151, 0.19256369625331787, -0.05246213549554984, 0.2796943065051625, 0.14956915819813021, 0.01673008723748087, 0.10016537349239536, 0.2844674151515724, 0.17556090388168785, 0.1752941130529862, -0.2687203282985138, 0.00011454132760352478, 0.07446103049555748] |
711.4359 | Hubble-type outflows of the high-excitation, poly-polar planetary nebula
NGC 6302 -- from expansion proper motions | The ouflowing proper motions of fifteen knots in the dominant northwestern
lobe of the high-excitation poly-polar planetary nebula NGC 6302 have been
determined by comparing their positions relative to those of faint stars in an
image taken at the San Pedro Martir Observatory in 2007 to those in a South
African Astronomical Observatory archival plate obtained by Evans in 1956. The
Hubble-type expansion of this lobe is now directly confirmed in a model
independent way from these measurements. Furthermore, an unambiguous distance
to NGC 6302 of 1.17 +/- 0.14 kpc is now determined. Also all the velocity
vectors of the fifteen knots (and two others) point back to the central source.
An eruptive event from within the central torus, approximately 2200 years
previously must have created the high speed lobes of NGC 6302.
| astro-ph | the ouflowing proper motions of fifteen knots in the dominant northwestern lobe of the highexcitation polypolar planetary nebula ngc 6302 have been determined by comparing their positions relative to those of faint stars in an image taken at the san pedro martir observatory in 2007 to those in a south african astronomical observatory archival plate obtained by evans in 1956 the hubbletype expansion of this lobe is now directly confirmed in a model independent way from these measurements furthermore an unambiguous distance to ngc 6302 of 117 014 kpc is now determined also all the velocity vectors of the fifteen knots and two others point back to the central source an eruptive event from within the central torus approximately 2200 years previously must have created the high speed lobes of ngc 6302 | [['the', 'ouflowing', 'proper', 'motions', 'of', 'fifteen', 'knots', 'in', 'the', 'dominant', 'northwestern', 'lobe', 'of', 'the', 'highexcitation', 'polypolar', 'planetary', 'nebula', 'ngc', '6302', 'have', 'been', 'determined', 'by', 'comparing', 'their', 'positions', 'relative', 'to', 'those', 'of', 'faint', 'stars', 'in', 'an', 'image', 'taken', 'at', 'the', 'san', 'pedro', 'martir', 'observatory', 'in', '2007', 'to', 'those', 'in', 'a', 'south', 'african', 'astronomical', 'observatory', 'archival', 'plate', 'obtained', 'by', 'evans', 'in', '1956', 'the', 'hubbletype', 'expansion', 'of', 'this', 'lobe', 'is', 'now', 'directly', 'confirmed', 'in', 'a', 'model', 'independent', 'way', 'from', 'these', 'measurements', 'furthermore', 'an', 'unambiguous', 'distance', 'to', 'ngc', '6302', 'of', '117', '014', 'kpc', 'is', 'now', 'determined', 'also', 'all', 'the', 'velocity', 'vectors', 'of', 'the', 'fifteen', 'knots', 'and', 'two', 'others', 'point', 'back', 'to', 'the', 'central', 'source', 'an', 'eruptive', 'event', 'from', 'within', 'the', 'central', 'torus', 'approximately', '2200', 'years', 'previously', 'must', 'have', 'created', 'the', 'high', 'speed', 'lobes', 'of', 'ngc', '6302']] | [-0.09275863516511611, 0.0634080872220623, -0.10476623248093976, 0.03127672425381696, -0.08033934915796495, -0.061136102128791836, 0.01574443227504022, 0.4558661726375039, -0.18643388136003453, -0.3403417083936242, 0.09173591442656918, -0.3065473509916606, -0.014695162172071063, 0.21183696056608683, -0.0746409281067407, -0.052115138304921295, 0.10074380410100835, -0.07510846299119293, 0.009244628881032651, -0.2426931834134918, 0.23853337000339078, 0.11850262868818111, 0.17079820669918822, -0.045267377762446326, 0.08980442841465656, -0.10709427500304837, -0.09630327310699682, -0.03769819306639525, -0.12985892077692998, 0.05933803563865905, 0.25833094200979057, 0.09576766913563076, 0.22417949088849126, -0.34618784110420026, -0.15964487318952497, -0.011408187187491701, 0.20306039723352745, -0.020871581752614405, 0.02195010270135334, -0.3698183532231129, 0.0328154418259286, -0.20440361032334084, -0.2376697022217111, 0.14074676809742903, 0.09864744144276931, 0.004896843256966139, -0.14165080809392608, 0.09122943039513372, -0.04667965140874562, 0.17260857213718386, -0.11870185572367448, -0.1525947359462197, -0.0727238035044418, 0.16794077965896576, 0.005584104680635322, 0.11290237649272268, 0.11301295635505365, -0.1016245771629306, -0.06844927606960902, 0.37347728171600747, -0.034540787983972296, 0.046214794781273945, 0.20210803182831463, -0.24581050496691695, -0.18332483910310726, 0.20352025421766134, 0.09319696503404815, 0.09264382037889356, -0.20845215478911996, 0.014260579103406949, -0.09843768837431875, 0.1636358194924049, 0.14297799760869775, -0.009643926141926875, 0.2724160446283909, 0.01543454934323493, -0.007434294648611775, 0.1019867761597897, -0.3031985877023824, -0.06136861895742746, -0.22009470869715397, -0.10189502527937293, -0.12684919063377983, 0.04344605366842678, -0.12179201550842174, -0.10413306556248035, 0.3479018838180659, 0.10720784548813334, 0.19289695773130425, -0.05747677146775039, 0.2766910954450186, 0.024208058061328933, 0.11145198324229569, 0.15740486854830613, 0.3393480425199064, 0.16899972409547234, 0.13946695571693662, -0.16624370814086153, 0.05212696033458297, 0.055265391478314996] |
711.436 | Two Higgs Models for Large Tan Beta and Heavy Second Higgs | We study two Higgs models for large $\tan\beta$ and relatively large second
Higgs mass. In this limit the second heavy Higgs should have small vev and
therefore couples only weakly to two gauge bosons. Furthermore, the couplings
to down type quarks can be significantly modified (so long as the second Higgs
is not overly heavy). Both these facts have significant implications for search
strategies at the LHC and ILC. We show how an effective theory and explicit
fundamental two Higgs model approach are related and consider the additional
constraints in the presence of supersymmetry or $Z_2$ flavor symmetries. We
argue that the best tests of the two Higgs doublet potential are likely to be
measurements of the light Higgs branching fractions. We show how higher
dimension operators that have recently been suggested to raise the light Higgs
mass are probably best measured and distinguished in this way.
| hep-ph | we study two higgs models for large tanbeta and relatively large second higgs mass in this limit the second heavy higgs should have small vev and therefore couples only weakly to two gauge bosons furthermore the couplings to down type quarks can be significantly modified so long as the second higgs is not overly heavy both these facts have significant implications for search strategies at the lhc and ilc we show how an effective theory and explicit fundamental two higgs model approach are related and consider the additional constraints in the presence of supersymmetry or z_2 flavor symmetries we argue that the best tests of the two higgs doublet potential are likely to be measurements of the light higgs branching fractions we show how higher dimension operators that have recently been suggested to raise the light higgs mass are probably best measured and distinguished in this way | [['we', 'study', 'two', 'higgs', 'models', 'for', 'large', 'tanbeta', 'and', 'relatively', 'large', 'second', 'higgs', 'mass', 'in', 'this', 'limit', 'the', 'second', 'heavy', 'higgs', 'should', 'have', 'small', 'vev', 'and', 'therefore', 'couples', 'only', 'weakly', 'to', 'two', 'gauge', 'bosons', 'furthermore', 'the', 'couplings', 'to', 'down', 'type', 'quarks', 'can', 'be', 'significantly', 'modified', 'so', 'long', 'as', 'the', 'second', 'higgs', 'is', 'not', 'overly', 'heavy', 'both', 'these', 'facts', 'have', 'significant', 'implications', 'for', 'search', 'strategies', 'at', 'the', 'lhc', 'and', 'ilc', 'we', 'show', 'how', 'an', 'effective', 'theory', 'and', 'explicit', 'fundamental', 'two', 'higgs', 'model', 'approach', 'are', 'related', 'and', 'consider', 'the', 'additional', 'constraints', 'in', 'the', 'presence', 'of', 'supersymmetry', 'or', 'z_2', 'flavor', 'symmetries', 'we', 'argue', 'that', 'the', 'best', 'tests', 'of', 'the', 'two', 'higgs', 'doublet', 'potential', 'are', 'likely', 'to', 'be', 'measurements', 'of', 'the', 'light', 'higgs', 'branching', 'fractions', 'we', 'show', 'how', 'higher', 'dimension', 'operators', 'that', 'have', 'recently', 'been', 'suggested', 'to', 'raise', 'the', 'light', 'higgs', 'mass', 'are', 'probably', 'best', 'measured', 'and', 'distinguished', 'in', 'this', 'way']] | [-0.07773253056387018, 0.2517099179634167, -0.044519064222544834, 0.16924093498256007, -0.11908365459003974, -0.21619928839179325, 0.016404574945233254, 0.3618935391775706, -0.21378410977571188, -0.3026552511011662, 0.07600490616232182, -0.25454488877827924, -0.08116814636840758, 0.14100748855702985, -0.008984433255810925, 0.04507621121117655, 0.047075121289714666, 0.004806333874054506, -0.0398380928419429, -0.32810567851102324, 0.31203136879786036, -0.008922606206112573, 0.21088740636347508, 0.11124122538762231, 0.05713886314952353, -0.04181825155614033, -0.010351830611930412, -0.0537695232652077, -0.08606227639111054, 0.10604852548527981, 0.16716843322791072, 0.0607719755839227, 0.17483626828738014, -0.35660862775684216, -0.154813626781106, 0.18899750043036176, 0.1777209594171038, 0.1408472406982007, -0.057627195078201694, -0.29156591198375437, 0.12003835919629909, -0.20454990476699306, -0.10787966181951746, -0.11080038774327762, -0.052199813084309404, -0.07899508462604261, -0.2922722759504555, 0.046015834944840635, -0.016872519019002816, 0.024822156144572154, -0.004480697428427485, -0.16345722027135645, -0.08533240909225681, 0.018756519896168337, 0.18714245824225653, -0.009734829502864455, 0.13498120655489415, -0.20304090157943164, -0.15592789204892557, 0.403616538230127, -0.11497831823530791, -0.18802619874667453, 0.2025126257046525, -0.17971666469270375, -0.20209395556336865, 0.0858476631419391, 0.2238791982202195, 0.09297402069086627, -0.166083443165261, 0.15488374876697883, -0.047131292648664135, 0.17191191147506035, 0.04360960490786198, 0.06807230094599785, 0.2747891980514792, 0.14391757447674844, 0.05737045378626964, 0.05308602539407482, -0.04843936139895093, -0.07789975813380917, -0.38822853681393804, -0.15259248584344173, -0.06716235206291384, 0.03287657923835288, -0.07405652161501507, -0.07217606657887904, 0.378145790500503, 0.1634545831649634, 0.2579089583865475, 0.0048768438278463016, 0.26817758453591745, 0.12154688933693177, 0.11664140032490297, 0.025181548508378317, 0.36030935620268184, 0.11463260560670271, 0.09050927909889392, -0.20715150775504299, -0.010531268890338893, 0.07743361961337275] |
711.4361 | Panchromatic Spectral Energy Distributions of Dusty Galaxies with
RADISHE. I. Predictions for Herschel: Correlating Colors with Galactic Energy
Sources | We present three-dimensional, self-consistent radiative transfer solutions
with a new Monte Carlo radiative equilibrium code. The code, RADISHE
($\bf{RAD}$iative transfer $\bf{I}$n $\bf{S}$moothed particle
$\bf{H}$ydrodynamics and $\bf{E}$ulerian codes), can be applied to calculate
the emergent spectral energy distributions (SEDs) and broadband images from
optical to millimeter wavelengths of arbitrary density geometries with
distributed sources of radiation. One of the primary uses of this code has been
to interface with hydrodynamical codes to calculate emergent SEDs along a
simulation time sequence. The primary methodological focus of this paper is on
the radiative equilibrium temperature calculation. We find that an iterative
calculation of the temperature, which takes as the Monte Carlo estimator for
the mean free intensity the sum of photon flight paths, is significantly faster
than relaxation temperature calculation methods, particularly when large
numbers of grid cells are required, i.e., in modeling three-dimensional
geometries such as the dust envelopes of turbulent massive protostellar cores
or infrared bright galaxies. We present simulated color-color plots for
infrared bright galaxies at a range of redshifts, and unfold these plots as
color vs the fractional AGN luminosity, to demonstrate that $\it{Herschel}$
will be able to effectively discriminate between submillimeter galaxies where
the energy source is dominated by AGN and those where star formation dominates.
[abridged]
| astro-ph | we present threedimensional selfconsistent radiative transfer solutions with a new monte carlo radiative equilibrium code the code radishe bfradiative transfer bfin bfsmoothed particle bfhydrodynamics and bfeulerian codes can be applied to calculate the emergent spectral energy distributions seds and broadband images from optical to millimeter wavelengths of arbitrary density geometries with distributed sources of radiation one of the primary uses of this code has been to interface with hydrodynamical codes to calculate emergent seds along a simulation time sequence the primary methodological focus of this paper is on the radiative equilibrium temperature calculation we find that an iterative calculation of the temperature which takes as the monte carlo estimator for the mean free intensity the sum of photon flight paths is significantly faster than relaxation temperature calculation methods particularly when large numbers of grid cells are required ie in modeling threedimensional geometries such as the dust envelopes of turbulent massive protostellar cores or infrared bright galaxies we present simulated colorcolor plots for infrared bright galaxies at a range of redshifts and unfold these plots as color vs the fractional agn luminosity to demonstrate that itherschel will be able to effectively discriminate between submillimeter galaxies where the energy source is dominated by agn and those where star formation dominates abridged | [['we', 'present', 'threedimensional', 'selfconsistent', 'radiative', 'transfer', 'solutions', 'with', 'a', 'new', 'monte', 'carlo', 'radiative', 'equilibrium', 'code', 'the', 'code', 'radishe', 'bfradiative', 'transfer', 'bfin', 'bfsmoothed', 'particle', 'bfhydrodynamics', 'and', 'bfeulerian', 'codes', 'can', 'be', 'applied', 'to', 'calculate', 'the', 'emergent', 'spectral', 'energy', 'distributions', 'seds', 'and', 'broadband', 'images', 'from', 'optical', 'to', 'millimeter', 'wavelengths', 'of', 'arbitrary', 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711.4362 | A six-dimensional H2-H2 potential energy surface for bound state
spectroscopy | We present a six-dimensional potential energy surface for the H2-H2 dimer
based on ab initio electronic structure calculations. The surface is intended
to describe accurately the bound and quasibound states of the dimers H2-H2,
D2-D2, and H2-D2 that correlate with H2 or D2 monomers in the rovibrational
levels (v, j) = (0, 0), (0, 2), (1, 0), and (1, 2). We use four experimentally
measured transition energies for these dimers to make two empirical adjustments
to the ab initio surface; the adjusted surface gives computed transition
energies for 56 experimentally observed transitions that agree with experiment
to within 0.036 cm^{-1}. For 29 of the 56 transitions, the agreement between
the computed and measured transition energies is within the quoted experimental
uncertainty. We use our potential energy surface to predict the energies of
another 34 not-yet-observed infrared and Raman transitions for the three
dimers.
| physics.chem-ph physics.atm-clus | we present a sixdimensional potential energy surface for the h2h2 dimer based on ab initio electronic structure calculations the surface is intended to describe accurately the bound and quasibound states of the dimers h2h2 d2d2 and h2d2 that correlate with h2 or d2 monomers in the rovibrational levels v j 0 0 0 2 1 0 and 1 2 we use four experimentally measured transition energies for these dimers to make two empirical adjustments to the ab initio surface the adjusted surface gives computed transition energies for 56 experimentally observed transitions that agree with experiment to within 0036 cm1 for 29 of the 56 transitions the agreement between the computed and measured transition energies is within the quoted experimental uncertainty we use our potential energy surface to predict the energies of another 34 notyetobserved infrared and raman transitions for the three dimers | [['we', 'present', 'a', 'sixdimensional', 'potential', 'energy', 'surface', 'for', 'the', 'h2h2', 'dimer', 'based', 'on', 'ab', 'initio', 'electronic', 'structure', 'calculations', 'the', 'surface', 'is', 'intended', 'to', 'describe', 'accurately', 'the', 'bound', 'and', 'quasibound', 'states', 'of', 'the', 'dimers', 'h2h2', 'd2d2', 'and', 'h2d2', 'that', 'correlate', 'with', 'h2', 'or', 'd2', 'monomers', 'in', 'the', 'rovibrational', 'levels', 'v', 'j', '0', '0', '0', '2', '1', '0', 'and', '1', '2', 'we', 'use', 'four', 'experimentally', 'measured', 'transition', 'energies', 'for', 'these', 'dimers', 'to', 'make', 'two', 'empirical', 'adjustments', 'to', 'the', 'ab', 'initio', 'surface', 'the', 'adjusted', 'surface', 'gives', 'computed', 'transition', 'energies', 'for', '56', 'experimentally', 'observed', 'transitions', 'that', 'agree', 'with', 'experiment', 'to', 'within', '0036', 'cm1', 'for', '29', 'of', 'the', '56', 'transitions', 'the', 'agreement', 'between', 'the', 'computed', 'and', 'measured', 'transition', 'energies', 'is', 'within', 'the', 'quoted', 'experimental', 'uncertainty', 'we', 'use', 'our', 'potential', 'energy', 'surface', 'to', 'predict', 'the', 'energies', 'of', 'another', '34', 'notyetobserved', 'infrared', 'and', 'raman', 'transitions', 'for', 'the', 'three', 'dimers']] | [-0.07121430721186789, 0.16259918910292712, -0.017007215655283302, 0.07867774752824046, 0.04479084287750277, -0.1536395764341644, 0.09960114839817034, 0.4242363760498821, -0.18327223354990177, -0.334603061377738, -0.01816711692942029, -0.3469075228199891, -0.08295925477592288, 0.11074300193069304, 0.09701038312814231, 0.034691908119365254, 0.024415310597747354, 0.002922937429199616, -0.08541417015874957, -0.16425844641726015, 0.253120303408289, 0.027988957564828665, 0.21150191866314694, 0.1374627441078662, 0.03249959718856667, -0.04984799119914677, 0.08371265234214299, -0.045747825083263374, -0.2528587785713145, 0.1370934267988237, 0.27119600761628954, -0.00494935445104402, 0.1566522751104232, -0.4158159450277792, -0.16744775725990957, 0.03635132928372275, 0.10162331527165065, 0.10155088580642821, 0.009501421836482242, -0.2581631970849443, 0.03636996249225757, -0.11697091259960588, -0.13346350313525923, -0.08602901615271781, 0.07298175452924366, 0.014322876547139587, -0.2577937917626159, 0.10731813577433111, -0.0504767636880807, 0.08693495431723171, -0.1544028990703853, -0.21907310742564526, -0.09253013709143913, 0.09780034164118692, -0.036799155263203785, 0.08832785798606614, 0.16852989964226775, -0.04960839693097675, -0.10535872576044912, 0.40390722048039557, -0.10972679745907901, -0.08957635525759336, 0.17296757442374708, -0.1734875361121372, -0.11893011775554706, 0.20803449062815477, 0.06335248281611196, 0.08282020292079724, -0.08818249107901575, 0.054177547693962616, 0.04913809746239625, 0.2113156273782729, 0.07717500090869871, -0.008005838179500553, 0.1504325517205561, 0.10606744614469403, -0.017333538053517648, 0.06576324773024345, -0.18337225364620222, -0.08199531457086377, -0.2795782759389345, -0.14254470289220822, -0.1920994540679777, 0.05624651481192691, -0.03175672719282749, -0.1163431216354964, 0.36473456131466103, 0.10259220305935922, 0.2178419856288543, 0.03795654541178745, 0.19885546336584586, 0.08683490634033893, 0.0216842232501557, 0.04126295266369133, 0.2967930135122296, 0.14506683305090834, 0.03031872000532053, -0.25391923838645114, -0.008721114773673157, -0.0028374619362545564] |
711.4363 | Blue Compact Dwarf Galaxies with Spitzer: The Infrared/Radio Properties | We study the correlation between the radio, mid-infrared and far-infrared
properties for a sample of 28 blue compact dwarf (BCD) and low metallicity
star-forming galaxies observed by Spitzer. We find that these sources extend
the same far-infrared to radio correlation typical of star forming late type
alaxies to lower luminosities. In BCDs, the 24um (or 22um) mid-infrared to
radio correlation is similar to starburst galaxies, though there is somewhat
larger dispersion in their q_24 parameter compared to their q_FIR. No strong
correlations between the q parameter and galaxy metallicity or effective dust
temperature have been detected, though there is a hint of decreasing q_24 at
low metallicities. The two lowest metallicity dwarfs in our sample, IZw18 and
SBS0335-052E, despite their similar chemical abundance, deviate from the
average q$_{24}$ ratio in opposite manners, displaying an apparent radio excess
and dust excess respectively.
| astro-ph | we study the correlation between the radio midinfrared and farinfrared properties for a sample of 28 blue compact dwarf bcd and low metallicity starforming galaxies observed by spitzer we find that these sources extend the same farinfrared to radio correlation typical of star forming late type alaxies to lower luminosities in bcds the 24um or 22um midinfrared to radio correlation is similar to starburst galaxies though there is somewhat larger dispersion in their q_24 parameter compared to their q_fir no strong correlations between the q parameter and galaxy metallicity or effective dust temperature have been detected though there is a hint of decreasing q_24 at low metallicities the two lowest metallicity dwarfs in our sample izw18 and sbs0335052e despite their similar chemical abundance deviate from the average q_24 ratio in opposite manners displaying an apparent radio excess and dust excess respectively | [['we', 'study', 'the', 'correlation', 'between', 'the', 'radio', 'midinfrared', 'and', 'farinfrared', 'properties', 'for', 'a', 'sample', 'of', '28', 'blue', 'compact', 'dwarf', 'bcd', 'and', 'low', 'metallicity', 'starforming', 'galaxies', 'observed', 'by', 'spitzer', 'we', 'find', 'that', 'these', 'sources', 'extend', 'the', 'same', 'farinfrared', 'to', 'radio', 'correlation', 'typical', 'of', 'star', 'forming', 'late', 'type', 'alaxies', 'to', 'lower', 'luminosities', 'in', 'bcds', 'the', '24um', 'or', '22um', 'midinfrared', 'to', 'radio', 'correlation', 'is', 'similar', 'to', 'starburst', 'galaxies', 'though', 'there', 'is', 'somewhat', 'larger', 'dispersion', 'in', 'their', 'q_24', 'parameter', 'compared', 'to', 'their', 'q_fir', 'no', 'strong', 'correlations', 'between', 'the', 'q', 'parameter', 'and', 'galaxy', 'metallicity', 'or', 'effective', 'dust', 'temperature', 'have', 'been', 'detected', 'though', 'there', 'is', 'a', 'hint', 'of', 'decreasing', 'q_24', 'at', 'low', 'metallicities', 'the', 'two', 'lowest', 'metallicity', 'dwarfs', 'in', 'our', 'sample', 'izw18', 'and', 'sbs0335052e', 'despite', 'their', 'similar', 'chemical', 'abundance', 'deviate', 'from', 'the', 'average', 'q_24', 'ratio', 'in', 'opposite', 'manners', 'displaying', 'an', 'apparent', 'radio', 'excess', 'and', 'dust', 'excess', 'respectively']] | [-0.03428683849637859, 0.11884325696919666, -0.07524933983243519, 0.15735200900339905, -0.09125390622794977, -0.07473340944182663, 0.0800245695499529, 0.532042048040697, -0.08171931746342093, -0.34318836677899894, -0.021857694092896774, -0.31817504214189896, -0.011333727137111931, 0.1600419965860762, -0.029483447477837904, -0.06755908581733087, -0.03654747640399142, -0.15867982449331622, -0.08096939005902398, -0.26456671508813023, 0.2712055816383791, 0.0771421961127881, 0.21345079650017, -0.04303864381617779, 0.02364920246207135, -0.1841116394319104, -0.10827330054996682, -0.01531194510916583, -0.12991793130269222, -0.01606760855945055, 0.27933939938138663, 0.07317674692164061, 0.19055760038091982, -0.30465938616994176, -0.1854067658245473, 0.14988840848756887, 0.2049381565771622, -0.005751312026928226, -0.09797420366767713, -0.2228945433128652, 0.08091642415794216, -0.16833315591374748, -0.1494079413522276, 0.12517134748774467, 0.0863161777286864, 0.020179031019789174, -0.2006420260462776, 0.19639345775622197, 0.005329220193913944, 0.1619621379260751, -0.1403807962427197, -0.16339360335975778, -0.11122272665304192, 0.07086115348213118, 0.014892880816562034, 0.08484493892659976, 0.17321599723784614, -0.14137247779654513, 0.005008876229897677, 0.36202018756231813, -0.09954700387156695, 0.062349578700691674, 0.305262571348132, -0.259485663551328, -0.1842400728148683, 0.13426477184499072, 0.11641656446585552, 0.07612554063993714, -0.1608199586073379, -0.00829250714071631, 0.00850835749410468, 0.2248044788515825, 0.06270295370490753, 0.16571325092275355, 0.3185789981026122, 0.05943792511662133, 0.07083897301491698, 0.09274190501142428, -0.22075147008885154, -0.012516251858993828, -0.17945961982494207, -0.08220640577923627, -0.14163149946508258, 0.11550067351685449, -0.191521829509544, -0.11130941421816982, 0.2946142885974682, 0.09676321680496762, 0.2546436736065385, 0.11623003891092999, 0.3045868311184559, 0.1176283672081789, 0.15633112729339452, 0.13845282248154336, 0.3461013972732446, 0.1634648309688908, 0.0916959920616673, -0.2717717151264761, 0.07739950041454151, -0.039749592674976526] |
711.4364 | A parametrization of the baryon octet and decuplet masses | We construct a general parametrization of the baryon octet and decuplet mass
operators including the three-body terms using the unit operator and the
symmetry-breaking factors $M^d=\textrm{diag} (0,1,0)$ and $M^s=\textrm{diag}
(0,0,1)$ in conjunction with the spin operators. Our parametrization has the
minimal number of operators needed to describe all the octet and decuplet
masses. Investigating the likely size of the three-body terms, we find that
contributions of the three-body hypercharge splittings are comparable to those
from the one- and two-body isospin splittings and that contributions of the
three-body isospin splitting operators are very small. We prove that, in
dynamical calculations, one must go to three loops to get the three-body terms.
We also find that the suggested hierarchy of sizes for terms in the most
general expression for baryon masses that involve multiple factors of $M^d$
and/or $M^s$ does not hold strictly for dynamical calculations in heavy baryon
chiral perturbation theory: terms of a given order in a meson loop expansion
may appear both with the expected factors of $M^d$ and $M^s$, and with one
factor more.
| hep-ph | we construct a general parametrization of the baryon octet and decuplet mass operators including the threebody terms using the unit operator and the symmetrybreaking factors mdtextrmdiag 010 and mstextrmdiag 001 in conjunction with the spin operators our parametrization has the minimal number of operators needed to describe all the octet and decuplet masses investigating the likely size of the threebody terms we find that contributions of the threebody hypercharge splittings are comparable to those from the one and twobody isospin splittings and that contributions of the threebody isospin splitting operators are very small we prove that in dynamical calculations one must go to three loops to get the threebody terms we also find that the suggested hierarchy of sizes for terms in the most general expression for baryon masses that involve multiple factors of md andor ms does not hold strictly for dynamical calculations in heavy baryon chiral perturbation theory terms of a given order in a meson loop expansion may appear both with the expected factors of md and ms and with one factor more | [['we', 'construct', 'a', 'general', 'parametrization', 'of', 'the', 'baryon', 'octet', 'and', 'decuplet', 'mass', 'operators', 'including', 'the', 'threebody', 'terms', 'using', 'the', 'unit', 'operator', 'and', 'the', 'symmetrybreaking', 'factors', 'mdtextrmdiag', '010', 'and', 'mstextrmdiag', '001', 'in', 'conjunction', 'with', 'the', 'spin', 'operators', 'our', 'parametrization', 'has', 'the', 'minimal', 'number', 'of', 'operators', 'needed', 'to', 'describe', 'all', 'the', 'octet', 'and', 'decuplet', 'masses', 'investigating', 'the', 'likely', 'size', 'of', 'the', 'threebody', 'terms', 'we', 'find', 'that', 'contributions', 'of', 'the', 'threebody', 'hypercharge', 'splittings', 'are', 'comparable', 'to', 'those', 'from', 'the', 'one', 'and', 'twobody', 'isospin', 'splittings', 'and', 'that', 'contributions', 'of', 'the', 'threebody', 'isospin', 'splitting', 'operators', 'are', 'very', 'small', 'we', 'prove', 'that', 'in', 'dynamical', 'calculations', 'one', 'must', 'go', 'to', 'three', 'loops', 'to', 'get', 'the', 'threebody', 'terms', 'we', 'also', 'find', 'that', 'the', 'suggested', 'hierarchy', 'of', 'sizes', 'for', 'terms', 'in', 'the', 'most', 'general', 'expression', 'for', 'baryon', 'masses', 'that', 'involve', 'multiple', 'factors', 'of', 'md', 'andor', 'ms', 'does', 'not', 'hold', 'strictly', 'for', 'dynamical', 'calculations', 'in', 'heavy', 'baryon', 'chiral', 'perturbation', 'theory', 'terms', 'of', 'a', 'given', 'order', 'in', 'a', 'meson', 'loop', 'expansion', 'may', 'appear', 'both', 'with', 'the', 'expected', 'factors', 'of', 'md', 'and', 'ms', 'and', 'with', 'one', 'factor', 'more']] | [-0.12343327259449502, 0.21652922233909197, -0.03941291936234325, 0.1264085670927775, -0.0337782779162557, -0.0804201012019646, 0.047376564146560114, 0.2981131468209085, -0.18550300132282527, -0.2844410654607004, 0.01842999768887657, -0.3041385298262982, -0.07693843389379568, 0.12258196287338846, 0.04896067046217792, 0.03244558498183073, 0.06636092968490148, 0.0639106654160624, -0.09988874634165831, -0.2214278164654221, 0.36922007867392026, -0.04640646395808749, 0.15023367218780279, 0.1231561243619727, 0.036315504643509446, -0.009763594322045729, -0.00771196546760955, -0.020838984213341242, -0.125303175150199, 0.10760854284383421, 0.21712933818344027, 0.046119475195280694, 0.1787492940684074, -0.4050755023356827, -0.15380311585513168, 0.1395156516575779, 0.17342088711126868, 0.16656280911645327, -0.023452535475455037, -0.24315525520855197, 0.10383436669349327, -0.20203017410233445, -0.15491795697886412, -0.14958993211153082, 0.0022796605628026627, -0.01370856104065375, -0.31606405828116013, 0.10651209733523187, -0.006029674051738954, 0.009288043500209928, -0.0815823838708858, -0.21613411099955054, -0.04462738877735047, 0.1098500204208339, 0.09686046293347902, 0.04495907807187445, 0.11891609899453476, -0.1398258706736753, -0.1260162409416389, 0.45734602343505143, -0.054557715260942906, -0.20102254319507842, 0.14524307779749673, -0.19139889060337653, -0.1661565952436549, 0.07829944380484093, 0.14992657148589691, 0.07275015579024062, -0.16459119744965506, 0.09244293515134239, -0.011797092675670296, 0.1682457355638543, 0.08161803192978233, 0.08332242263178609, 0.15032056301575283, 0.08607101264468597, 0.009329153644991503, 0.04960595434745667, -0.060157208232444595, -0.12399050738694596, -0.32613994846764105, -0.08464112099602647, -0.10392678817185498, 0.03762305408173265, -0.11954630650218641, -0.1456550953363807, 0.40284248933345934, 0.08111324012292892, 0.22332875002389665, 0.06873540035127823, 0.2821489396804794, 0.13793141788190189, 0.15938709671716153, 0.06724017975188193, 0.2546182453348676, 0.1914827666270825, 0.03350417154316587, -0.30105873133489414, -0.00812137468976247, 0.08649544048540551] |
711.4365 | Coherent Control of Ultra-High Frequency Acoustic Resonances in Photonic
Crystal Fibers | Ultra-high frequency acoustic resonances ($\backsim$2 GHz) trapped within the
glass core ($\backsim$1 $\mu$m diameter) of a photonic crystal fiber are
selectively excited through electrostriction using laser pulses of duration 100
ps and energy 500 pJ. Using precisely timed sequences of such driving pulses,
we achieve coherent control of the acoustic resonances by constructive or
destructive interference, demonstrating both enhancement and suppression of the
vibrations. A sequence of 27 resonantly-timed pulses provides a 100-fold
increase in the amplitude of the vibrational mode. The results are explained
and interpreted using a semi-analytical theory, and supported by precise
numerical simulations of the complex light-matter interaction.
| physics.optics | ultrahigh frequency acoustic resonances backsim2 ghz trapped within the glass core backsim1 mum diameter of a photonic crystal fiber are selectively excited through electrostriction using laser pulses of duration 100 ps and energy 500 pj using precisely timed sequences of such driving pulses we achieve coherent control of the acoustic resonances by constructive or destructive interference demonstrating both enhancement and suppression of the vibrations a sequence of 27 resonantlytimed pulses provides a 100fold increase in the amplitude of the vibrational mode the results are explained and interpreted using a semianalytical theory and supported by precise numerical simulations of the complex lightmatter interaction | [['ultrahigh', 'frequency', 'acoustic', 'resonances', 'backsim2', 'ghz', 'trapped', 'within', 'the', 'glass', 'core', 'backsim1', 'mum', 'diameter', 'of', 'a', 'photonic', 'crystal', 'fiber', 'are', 'selectively', 'excited', 'through', 'electrostriction', 'using', 'laser', 'pulses', 'of', 'duration', '100', 'ps', 'and', 'energy', '500', 'pj', 'using', 'precisely', 'timed', 'sequences', 'of', 'such', 'driving', 'pulses', 'we', 'achieve', 'coherent', 'control', 'of', 'the', 'acoustic', 'resonances', 'by', 'constructive', 'or', 'destructive', 'interference', 'demonstrating', 'both', 'enhancement', 'and', 'suppression', 'of', 'the', 'vibrations', 'a', 'sequence', 'of', '27', 'resonantlytimed', 'pulses', 'provides', 'a', '100fold', 'increase', 'in', 'the', 'amplitude', 'of', 'the', 'vibrational', 'mode', 'the', 'results', 'are', 'explained', 'and', 'interpreted', 'using', 'a', 'semianalytical', 'theory', 'and', 'supported', 'by', 'precise', 'numerical', 'simulations', 'of', 'the', 'complex', 'lightmatter', 'interaction']] | [-0.1698337891797601, 0.23007061891257763, -0.04418048799752888, 0.02923605760390108, -0.013297548216551242, -0.11278097145729746, 0.08864026613100762, 0.45418834732375063, -0.23670904388688882, -0.3139392818992186, 0.020864973426796496, -0.24936712033237624, -0.08009356348493109, 0.22837401994014855, 0.026928518222635516, 0.04541067968974022, 0.07207703929526185, -0.053165686837717364, 0.060045424390189124, -0.0998356433331289, 0.21762139417908408, 0.07256761642944332, 0.2988985266367143, 0.051212762444835115, 0.09941420987756415, 0.019453877129243933, 0.020392590362315225, -0.06947313369289417, -0.11254809396823567, 0.11637486729328755, 0.25401516835413396, 0.005611642870600476, 0.24673139506179576, -0.4548620008393144, -0.23226303541374327, 0.022308851818017887, 0.16217397451383117, 0.1533977111091254, -0.05849321847052473, -0.3156360862118126, 0.05504183492839637, -0.13561900731792317, -0.1393956138818252, -0.033258128017563414, -0.01377753062042022, 0.08621423704681372, -0.2686677577886542, 0.09358789915962126, 0.04489123605831404, 0.12087138652839143, -0.04993097283736323, -0.03838420295946752, -0.016625982697469868, 0.03983834906095507, -0.06303425970948254, 0.018912349023263563, 0.2065569829016999, -0.0674358546884373, -0.16111027204779663, 0.35938368982757735, -0.1326767277405268, -0.08214380776961193, 0.15507710024695656, -0.15192830781781613, 0.047667125296412094, 0.24477870485773592, 0.13394755101468733, 0.09084932840984276, -0.0882559268173263, -0.019263476051032694, 0.07047878584890353, 0.2563075325051981, 0.20395733291198584, 0.1237199597455787, 0.2102405046103428, 0.22925951873714273, -0.0358320992778648, 0.14680766892816985, -0.1132243409508256, -0.019463104468704473, -0.26121491756327825, -0.06355571597250122, -0.17694580437459118, 0.056198319984656395, -0.07305375306874118, -0.0901237961558644, 0.4435276867200931, 0.06235559121000044, 0.1263333632413185, 0.005457155218329093, 0.31483745913613925, 0.12036622048477934, 0.05217636133087893, -0.004614532450119955, 0.32602078272876417, 0.19655166336892624, 0.07087754632694403, -0.2784844406814587, -0.04366941747697766, -0.05187931083932971] |
711.4366 | A characterization of two classes of locally truncated diagram
geometries | We study locally truncated geometries that are parapolar spaces locally of
type A_{n-1,j}(K) with n>6 and j=3,4. Residually connected sheaves over these
geometries are constructed. It is proved that these geometries are residually
connected diagram geometries whose universal 2-covers are truncations of
buildings.
| math.GR | we study locally truncated geometries that are parapolar spaces locally of type a_n1jk with n6 and j34 residually connected sheaves over these geometries are constructed it is proved that these geometries are residually connected diagram geometries whose universal 2covers are truncations of buildings | [['we', 'study', 'locally', 'truncated', 'geometries', 'that', 'are', 'parapolar', 'spaces', 'locally', 'of', 'type', 'a_n1jk', 'with', 'n6', 'and', 'j34', 'residually', 'connected', 'sheaves', 'over', 'these', 'geometries', 'are', 'constructed', 'it', 'is', 'proved', 'that', 'these', 'geometries', 'are', 'residually', 'connected', 'diagram', 'geometries', 'whose', 'universal', '2covers', 'are', 'truncations', 'of', 'buildings']] | [-0.15989517808959977, 0.17960233321958563, -0.057551575143162795, 0.09600918268977959, -0.06674997962829543, -0.18897871018909826, -0.11676594749854015, 0.5256100555018681, -0.23677450354869772, -0.1446363550735774, 0.19064650977620992, -0.24563933854422917, -0.142677646448336, 0.26880077245395356, -0.16357375654142078, -0.08215183037810209, 0.0242286766197805, 0.003985313698649406, -0.09129989638970029, -0.3373991305508265, 0.4398096271040963, -0.10789436049668527, 0.2834594912554433, -0.006794119901137381, 0.023624180850186725, -0.09452224157859923, -0.03090424892469877, 0.1379248875579456, -0.18919726344366364, 0.14458061128332303, 0.37617569589396804, 0.000992967270132972, 0.08324276785388952, -0.3952679769022436, -0.19493958206347575, 0.1784181028559077, 0.11787899056585824, 0.02137082906031027, -0.0009503310728000431, -0.25093379909763247, 0.12000869887472107, -0.21089454935636462, -0.19178128867160257, -0.1411513004951724, 0.03664916013253898, 0.06132737189962915, -0.1550122780225626, 0.0010747815050729892, 0.052723955181313724, 0.038681792793795466, -0.08338320561934535, -0.04907139629216456, -0.11381173624498088, 0.08847420992011704, -0.08172117671702148, -0.031424919376149774, 0.10573874172050415, -0.03277184328109753, -0.12382665912552578, 0.3157240459127579, 0.11449514384233825, -0.27448956427595966, 0.21897495115493856, -0.16797965985336683, -0.12309169230937231, 0.14904795141845215, 0.05047176934483393, 0.21465555324060162, -0.06484297831065772, 0.21846065186276442, -0.12926776707172394, 0.03689089871761275, 0.13317417130782838, -0.0019229748513458706, 0.14809492909599367, 0.09048250154024218, 0.06206624588088655, 0.11716174420605345, 0.07582583478311213, -0.05674239232562619, -0.39551789150005434, -0.07388313239576613, -0.095983946718639, 0.10715984228271537, -0.12018660586518974, -0.26606490304012126, 0.29050177653751724, -0.03828474422689618, 0.09978193377439933, 0.12852621975741008, 0.14444385796058468, -0.013753773553705797, 0.11702841165952566, 0.15763295195406166, 0.10428815646233355, 0.2303641254945499, -0.13465992722194642, -0.10000712166841301, -0.07707158155830168, 0.2590693623826998] |
711.4367 | Retired A Stars and Their Companions II: Jovian planets orbiting kappa
Coronae Borealis and HD167042 | We report precise Doppler measurements of two evolved stars, kappa CrB
(HD142091) and HD 167042, obtained at Lick Observatory as part of our search
for planets orbiting intermediate-mass subgiants. Periodic variations in the
radial velocities of both stars reveal the presence of substellar orbital
companions. These two stars are notably massive with stellar masses of 1.80
Msun and 1.64 Msun, indicating that they are former A-type dwarfs that have
evolved off of the main sequence and are now K-type subgiants. The planet
orbiting kappa CrB has a minimum mass Msini = 1.8 Mjup, eccentricity e = 0.146
and a 1208 day period, corresponding to a semimajor axis of 2.7 AU. The planet
around HD167042 has a minimum mass Msini = 1.7 Mjup and a 412.6 day orbit,
corresponding to a semimajor axis of 1.3 AU. The eccentricity of HD167042b is
consistent with circular (e = 0.027+/-0.04), adding to the rare class of known
exoplanets in long-period, circular orbits similar to the Solar System gas
giants. Like all of the planets previously discovered around evolved A stars,
kappa CrBb and HD167042b orbit beyond 0.8 AU.
| astro-ph | we report precise doppler measurements of two evolved stars kappa crb hd142091 and hd 167042 obtained at lick observatory as part of our search for planets orbiting intermediatemass subgiants periodic variations in the radial velocities of both stars reveal the presence of substellar orbital companions these two stars are notably massive with stellar masses of 180 msun and 164 msun indicating that they are former atype dwarfs that have evolved off of the main sequence and are now ktype subgiants the planet orbiting kappa crb has a minimum mass msini 18 mjup eccentricity e 0146 and a 1208 day period corresponding to a semimajor axis of 27 au the planet around hd167042 has a minimum mass msini 17 mjup and a 4126 day orbit corresponding to a semimajor axis of 13 au the eccentricity of hd167042b is consistent with circular e 0027004 adding to the rare class of known exoplanets in longperiod circular orbits similar to the solar system gas giants like all of the planets previously discovered around evolved a stars kappa crbb and hd167042b orbit beyond 08 au | [['we', 'report', 'precise', 'doppler', 'measurements', 'of', 'two', 'evolved', 'stars', 'kappa', 'crb', 'hd142091', 'and', 'hd', '167042', 'obtained', 'at', 'lick', 'observatory', 'as', 'part', 'of', 'our', 'search', 'for', 'planets', 'orbiting', 'intermediatemass', 'subgiants', 'periodic', 'variations', 'in', 'the', 'radial', 'velocities', 'of', 'both', 'stars', 'reveal', 'the', 'presence', 'of', 'substellar', 'orbital', 'companions', 'these', 'two', 'stars', 'are', 'notably', 'massive', 'with', 'stellar', 'masses', 'of', '180', 'msun', 'and', '164', 'msun', 'indicating', 'that', 'they', 'are', 'former', 'atype', 'dwarfs', 'that', 'have', 'evolved', 'off', 'of', 'the', 'main', 'sequence', 'and', 'are', 'now', 'ktype', 'subgiants', 'the', 'planet', 'orbiting', 'kappa', 'crb', 'has', 'a', 'minimum', 'mass', 'msini', '18', 'mjup', 'eccentricity', 'e', '0146', 'and', 'a', '1208', 'day', 'period', 'corresponding', 'to', 'a', 'semimajor', 'axis', 'of', '27', 'au', 'the', 'planet', 'around', 'hd167042', 'has', 'a', 'minimum', 'mass', 'msini', '17', 'mjup', 'and', 'a', '4126', 'day', 'orbit', 'corresponding', 'to', 'a', 'semimajor', 'axis', 'of', '13', 'au', 'the', 'eccentricity', 'of', 'hd167042b', 'is', 'consistent', 'with', 'circular', 'e', '0027004', 'adding', 'to', 'the', 'rare', 'class', 'of', 'known', 'exoplanets', 'in', 'longperiod', 'circular', 'orbits', 'similar', 'to', 'the', 'solar', 'system', 'gas', 'giants', 'like', 'all', 'of', 'the', 'planets', 'previously', 'discovered', 'around', 'evolved', 'a', 'stars', 'kappa', 'crbb', 'and', 'hd167042b', 'orbit', 'beyond', '08', 'au']] | [-0.16569165983997727, 0.20053105451021278, -0.055363168856505884, 0.03986348462697506, -0.11880293202376521, -0.08808398041120499, 0.10498646974248671, 0.3598567215601962, -0.0801104146669581, -0.3906299071117288, 0.05517992116726203, -0.3197548569185455, -0.011125609720115028, 0.20428372796684116, -0.10724943492701547, 0.03998824908072398, 0.212901935748476, -0.00427167224320933, -0.051713638653644936, -0.2563862782329603, 0.23853532059085852, 0.01452448422013852, -0.08034360129655355, -0.09914865356774441, 0.019835623581436156, -0.10720435787137662, 0.006950109803240284, -0.11070797024187067, -0.20487486422972045, -0.0028371792555802818, 0.1993277580542907, 0.09085675434753127, 0.1934341547524185, -0.223836806956396, -0.12630258150387966, 0.008998893339299957, 0.19785215002834539, -0.03682176423705899, -0.038917087524526384, -0.26610899554576317, 0.15077113350476487, -0.23002101712916692, -0.24941180411435535, 0.08796377455636675, 0.18966328221066409, -0.012527595642911045, -0.2768635456975162, 0.12518661431268374, 0.09533012253595678, 0.21110933753823313, -0.16497483924219675, -0.2589964588069104, -0.13832462102987647, 0.035404356293423325, 0.050080851803471826, 0.09345160829269386, 0.1776241932974084, 0.020108257141771776, -0.012531269273742216, 0.4092319350086712, -0.13033860756321192, 0.037681834176021244, 0.2749731520472116, -0.26328207466299136, -0.1437365495319871, 0.15905797932124724, 0.17215456777017407, 0.19631645817853338, -0.1941885216150842, -0.0017162641864323805, 0.0034480265996451195, 0.2252275237175663, 0.15888529624843786, 0.06384484235041188, 0.48240674797424005, 0.10990749592381406, 0.05728111977317516, -0.019766940369211526, -0.314264370327697, -0.05969297103960648, -0.09301872763007535, -0.11659018302906972, -0.1327307034355206, 0.06535617159706449, -0.16299733597831667, -0.11648833091408445, 0.3169933276446442, 0.1100400891720258, 0.2006281792923722, 0.04967217382199718, 0.26477942924752745, 0.06002218953691789, 0.12851460176801666, 0.15952804378056198, 0.3649645558211177, 0.22974895260490563, 0.09935356398258423, -0.2540949429869867, 0.03316697331193856, -0.01584089793953937] |
711.4368 | The delta method for analytic functions of random operators with
application to functional data | In this paper, the asymptotic distributions of estimators for the regularized
functional canonical correlation and variates of the population are derived.
The method is based on the possibility of expressing these regularized
quantities as the maximum eigenvalue and the corresponding eigenfunctions of an
associated pair of regularized operators, similar to the Euclidean case. The
known weak convergence of the sample covariance operator, coupled with a
delta-method for analytic functions of covariance operators, yields the weak
convergence of the pair of associated operators. From the latter weak
convergence, the limiting distributions of the canonical quantities of interest
can be derived with the help of some further perturbation theory.
| math.ST stat.TH | in this paper the asymptotic distributions of estimators for the regularized functional canonical correlation and variates of the population are derived the method is based on the possibility of expressing these regularized quantities as the maximum eigenvalue and the corresponding eigenfunctions of an associated pair of regularized operators similar to the euclidean case the known weak convergence of the sample covariance operator coupled with a deltamethod for analytic functions of covariance operators yields the weak convergence of the pair of associated operators from the latter weak convergence the limiting distributions of the canonical quantities of interest can be derived with the help of some further perturbation theory | [['in', 'this', 'paper', 'the', 'asymptotic', 'distributions', 'of', 'estimators', 'for', 'the', 'regularized', 'functional', 'canonical', 'correlation', 'and', 'variates', 'of', 'the', 'population', 'are', 'derived', 'the', 'method', 'is', 'based', 'on', 'the', 'possibility', 'of', 'expressing', 'these', 'regularized', 'quantities', 'as', 'the', 'maximum', 'eigenvalue', 'and', 'the', 'corresponding', 'eigenfunctions', 'of', 'an', 'associated', 'pair', 'of', 'regularized', 'operators', 'similar', 'to', 'the', 'euclidean', 'case', 'the', 'known', 'weak', 'convergence', 'of', 'the', 'sample', 'covariance', 'operator', 'coupled', 'with', 'a', 'deltamethod', 'for', 'analytic', 'functions', 'of', 'covariance', 'operators', 'yields', 'the', 'weak', 'convergence', 'of', 'the', 'pair', 'of', 'associated', 'operators', 'from', 'the', 'latter', 'weak', 'convergence', 'the', 'limiting', 'distributions', 'of', 'the', 'canonical', 'quantities', 'of', 'interest', 'can', 'be', 'derived', 'with', 'the', 'help', 'of', 'some', 'further', 'perturbation', 'theory']] | [-0.08460697379816219, 0.03880989347885376, -0.10352821803051178, 0.12854580545066813, -0.015544879291572165, -0.058278882410377264, 0.014193863792901981, 0.3117497048175363, -0.2878391072502203, -0.23947613299432619, 0.1038412999603288, -0.30863037052625253, -0.1362851668806381, 0.18459945109403023, -0.0343720370590269, 0.12466587736837079, 0.05279666396449799, 0.07273168069806611, -0.15839609147754508, -0.2014893032175219, 0.3946910929848727, 0.06242455007665068, 0.27212225453423283, 0.0018143580843494318, 0.10592995905186807, 0.0036916634520498394, -0.04150187431738895, 0.01477369812761094, -0.09490533946430153, 0.1849593079657616, 0.19102947463533868, 0.12598678027932472, 0.28773161689707333, -0.3732718472565806, -0.15860404450202656, 0.14016016412669985, 0.16174193392355413, 0.04159495695363556, -0.004177815325462442, -0.27836826815113214, 0.06795865264650496, -0.14163985474156998, -0.17935981060961417, -0.08880928113064337, -0.04795057934961308, 0.10216258544579288, -0.346257093910859, 0.14449315804065527, 0.06053716031329654, 0.03362921238050004, -0.071519733293452, -0.13952339641645412, -0.03977977159589738, 0.12616372913139584, 0.10343549256735246, -0.012950502853910221, 0.07274096096195629, -0.11604949687259429, -0.07341096951423874, 0.30800787941770297, -0.07955331352722143, -0.2554247277292693, 0.13492995170902497, -0.16434226163323515, -0.1197413586637127, 0.08782109473701392, 0.15219197930576644, 0.18281907856325122, -0.1860052582450977, 0.12665135558220236, -0.042653373860379803, 0.06935997019199847, 0.012761953439145723, 0.08090710934582297, 0.12745369283186497, 0.07767583565812593, 0.10720313226403756, 0.15105334227299752, -0.06121047796729395, -0.12195855876535316, -0.36427693650404985, -0.13418527903191954, -0.21205573264404992, 0.05360958603793912, -0.19205117683447506, -0.21178770613656422, 0.40787603686972757, 0.12070460166677693, 0.19103914967555308, 0.11530072583216373, 0.2263910415556247, 0.22992054162281522, 0.05202938740742262, 0.036969617170185966, 0.23105533412036433, 0.23263977223432789, 0.030661867657310774, -0.2488240660407589, 0.05122899052591246, 0.1349708096463686] |
711.4369 | SED modeling of Young Massive Stars | In this contribution, I review the applications and potential limitations of
the spectral energy distribution fitting tool that I have developed, with a
strong emphasis on the limits to which this tool can be used to improve our
understanding of massive star formation. I discuss why our current grid of
models cannot be used to distinguish between the several competing theories of
massive star formation. I also discuss stellar mass determinations, artificial
correlations between parameters in the grid of models, multiplicity, confusion,
dust assumptions, and unique fits. I briefly review the improvements we intend
to carry out for our next grid of models, which will eliminate many of these
limitations. Finally, I show examples of applications of this tool to massive
young stars.
| astro-ph | in this contribution i review the applications and potential limitations of the spectral energy distribution fitting tool that i have developed with a strong emphasis on the limits to which this tool can be used to improve our understanding of massive star formation i discuss why our current grid of models cannot be used to distinguish between the several competing theories of massive star formation i also discuss stellar mass determinations artificial correlations between parameters in the grid of models multiplicity confusion dust assumptions and unique fits i briefly review the improvements we intend to carry out for our next grid of models which will eliminate many of these limitations finally i show examples of applications of this tool to massive young stars | [['in', 'this', 'contribution', 'i', 'review', 'the', 'applications', 'and', 'potential', 'limitations', 'of', 'the', 'spectral', 'energy', 'distribution', 'fitting', 'tool', 'that', 'i', 'have', 'developed', 'with', 'a', 'strong', 'emphasis', 'on', 'the', 'limits', 'to', 'which', 'this', 'tool', 'can', 'be', 'used', 'to', 'improve', 'our', 'understanding', 'of', 'massive', 'star', 'formation', 'i', 'discuss', 'why', 'our', 'current', 'grid', 'of', 'models', 'can', 'not', 'be', 'used', 'to', 'distinguish', 'between', 'the', 'several', 'competing', 'theories', 'of', 'massive', 'star', 'formation', 'i', 'also', 'discuss', 'stellar', 'mass', 'determinations', 'artificial', 'correlations', 'between', 'parameters', 'in', 'the', 'grid', 'of', 'models', 'multiplicity', 'confusion', 'dust', 'assumptions', 'and', 'unique', 'fits', 'i', 'briefly', 'review', 'the', 'improvements', 'we', 'intend', 'to', 'carry', 'out', 'for', 'our', 'next', 'grid', 'of', 'models', 'which', 'will', 'eliminate', 'many', 'of', 'these', 'limitations', 'finally', 'i', 'show', 'examples', 'of', 'applications', 'of', 'this', 'tool', 'to', 'massive', 'young', 'stars']] | [-0.03289399890326745, 0.05571732150330659, -0.08086055690693038, 0.12591009661498961, -0.0931182945928266, -0.10389168777187625, 0.03534657600516033, 0.38324895164658945, -0.22241236138788442, -0.3492240832157193, 0.10131279066638765, -0.2469484126120205, -0.12574829439061783, 0.19156900802655372, -0.07416184753322252, -0.02281821938982654, 0.09310257180984463, -0.04190255354549135, -0.06771399073430427, -0.28846552155183386, 0.3491675681021485, 0.062499759264380464, 0.21643627273489632, 0.08834524172914004, 0.008069680001015865, -0.08175166684856278, -0.10816356931595252, 0.0024782231325403818, -0.19076428016406652, 0.1346746733094821, 0.22942848155303036, 0.189901427704993, 0.24209184264163336, -0.42744018933585576, -0.24054808040419895, 0.11324579482747903, 0.18989644957717597, 0.09451479924328235, -0.0747140975445584, -0.21528910572880938, 0.07416368121536629, -0.21578799205411586, -0.17112798863766535, -0.07133943770050762, 0.018610741852992965, 0.08217555003084859, -0.25345922365874773, 0.011642255734665425, 0.07099109884133682, 0.037260618316189896, -0.04134570890117527, -0.14852686395170167, -0.0053294986512722265, 0.14528221637386107, 0.060567785713506204, 0.004265501486858533, 0.10519518833532329, -0.1587000631317947, -0.11150816237861891, 0.38300179646560745, -0.05738813008957227, -0.16658286364831693, 0.2517404350801371, -0.12938059329791296, -0.21720801003187173, 0.03506493313245535, 0.19061956075470773, 0.09422402280277663, -0.16627456818241626, 0.02437071689130408, 0.02899715789939247, 0.14558355463668704, -0.007742018416343677, 0.0741663939927915, 0.319310435033854, 0.1693132091238494, 0.004952429652480679, 0.0732056851547602, -0.13839257602962934, -0.08711059222508583, -0.3012655397967225, -0.13393027166415367, -0.12739170735303854, 0.05087152242507023, -0.07999653155110859, -0.11475420891187124, 0.39155826493421747, 0.26904932504159307, 0.17478471730024583, -0.005793066316043898, 0.2974366620182991, 0.07921139120674436, 0.07278089537735909, 0.05542185137258662, 0.25894415287315964, 0.15215332430201553, 0.09187174789727695, -0.22798146388865256, 0.007985082954438704, -0.007930908239476623] |
711.437 | A hazard of open quantum dynamics: Markov approximations encounter map
domains | A Markov approximation in open quantum dynamics can give unphysical results
when a map acts on a state that is not in its domain. This is examined here in
a simple example, an open quantum dynamics for one qubit in a system of two
interacting qubits, for which the map domains have been described quite
completely. A time interval is split into two parts and the map from the exact
dynamics for the entire interval is replaced by the conjunction of that same
map for both parts. If there is any correlation between the two qubits,
unphysical results can appear as soon as the map conjunction is used, even for
infinitesimal times. If the map is repeated an unlimited number of times, every
state is at risk of being taken outside the bounds of physical meaning.
Treatment by slippage of initial conditions is discussed.
| quant-ph | a markov approximation in open quantum dynamics can give unphysical results when a map acts on a state that is not in its domain this is examined here in a simple example an open quantum dynamics for one qubit in a system of two interacting qubits for which the map domains have been described quite completely a time interval is split into two parts and the map from the exact dynamics for the entire interval is replaced by the conjunction of that same map for both parts if there is any correlation between the two qubits unphysical results can appear as soon as the map conjunction is used even for infinitesimal times if the map is repeated an unlimited number of times every state is at risk of being taken outside the bounds of physical meaning treatment by slippage of initial conditions is discussed | [['a', 'markov', 'approximation', 'in', 'open', 'quantum', 'dynamics', 'can', 'give', 'unphysical', 'results', 'when', 'a', 'map', 'acts', 'on', 'a', 'state', 'that', 'is', 'not', 'in', 'its', 'domain', 'this', 'is', 'examined', 'here', 'in', 'a', 'simple', 'example', 'an', 'open', 'quantum', 'dynamics', 'for', 'one', 'qubit', 'in', 'a', 'system', 'of', 'two', 'interacting', 'qubits', 'for', 'which', 'the', 'map', 'domains', 'have', 'been', 'described', 'quite', 'completely', 'a', 'time', 'interval', 'is', 'split', 'into', 'two', 'parts', 'and', 'the', 'map', 'from', 'the', 'exact', 'dynamics', 'for', 'the', 'entire', 'interval', 'is', 'replaced', 'by', 'the', 'conjunction', 'of', 'that', 'same', 'map', 'for', 'both', 'parts', 'if', 'there', 'is', 'any', 'correlation', 'between', 'the', 'two', 'qubits', 'unphysical', 'results', 'can', 'appear', 'as', 'soon', 'as', 'the', 'map', 'conjunction', 'is', 'used', 'even', 'for', 'infinitesimal', 'times', 'if', 'the', 'map', 'is', 'repeated', 'an', 'unlimited', 'number', 'of', 'times', 'every', 'state', 'is', 'at', 'risk', 'of', 'being', 'taken', 'outside', 'the', 'bounds', 'of', 'physical', 'meaning', 'treatment', 'by', 'slippage', 'of', 'initial', 'conditions', 'is', 'discussed']] | [-0.14510213357991436, 0.15223684876744098, -0.10537170100886012, 0.06955991119806033, 0.003467376837054164, -0.14001772866079895, 0.02197151462799714, 0.3781016602491339, -0.26121333191016066, -0.23847022714714208, 0.16431514422745547, -0.26156959685936776, -0.09873506002865422, 0.23741269380035293, -0.035371494728476845, 0.0038389888549217074, 0.08328053527576332, 0.08219613016343727, -0.0491824255166446, -0.2265712560232108, 0.30912574636749923, 0.0015684708050685003, 0.21269249377817484, 0.04471398749956279, 0.1433570377695206, -0.0006297327878807361, 0.03464606129717948, 0.03527656633862838, -0.07305046879193672, 0.03204855032446277, 0.25417115041313487, 0.11548872841295735, 0.2820067736514223, -0.42955111514533606, -0.20489604227865735, 0.11649218926646022, 0.1423224327057445, 0.12189281688107359, -0.01609136954357382, -0.2768987676051135, 0.06293692547802089, -0.12923816715030828, -0.11046980562645735, -0.04492545878747478, 0.05606280155997309, -0.0331877027444231, -0.2665112916114999, 0.034904209854883246, 0.08062670729446432, 0.03783520311117172, -0.048995517809493724, -0.05261926193240166, -0.007918921648524702, 0.1829371302828804, -0.007042683468575383, 0.06834773442824371, 0.11467760309096775, -0.11310810456860862, -0.10546314954505458, 0.36594674388308907, -0.04855961541599956, -0.2510642766655009, 0.1841571998795391, -0.11888601300355124, -0.11138068191616589, 0.11478174543299247, 0.09321709403431871, 0.07510445491203023, -0.15929572291224758, 0.1239173241269782, -0.055861409960521594, 0.19139589354623845, 0.05630077432659972, 0.010013421796934886, 0.19558339677233663, 0.1321699970754303, 0.1054190422954788, 0.16529613555111508, -0.043135601711886316, -0.13110451040686005, -0.3346469742569348, -0.16443429624349745, -0.2145942180714984, 0.06950331580376062, -0.059885066836816096, -0.1569074643638386, 0.3851618307332198, 0.10894256137059226, 0.22755072973814094, 0.013163180838293757, 0.27917619290140766, 0.15087728645206275, 0.051822779722796336, 0.06989043009849007, 0.19768214529095632, 0.10113980501288704, 0.034611774702271864, -0.18287016103972242, 0.0905968678186279, 0.05523617442587339] |
711.4371 | Anisotropic diffusion in continuum relaxation of stepped crystal
surfaces | We study the continuum limit in 2+1 dimensions of nanoscale anisotropic
diffusion processes on crystal surfaces relaxing to become flat below
roughening. Our main result is a continuum law for the surface flux in terms of
a new continuum-scale tensor mobility. The starting point is the Burton,
Cabrera and Frank (BCF) theory, which offers a discrete scheme for atomic steps
whose motion drives surface evolution. Our derivation is based on the
separation of local space variables into fast and slow. The model includes: (i)
anisotropic diffusion of adsorbed atoms (adatoms) on terraces separating steps;
(ii) diffusion of atoms along step edges; and (iii) attachment-detachment of
atoms at step edges. We derive a parabolic fourth-order, fully nonlinear
partial differential equation (PDE) for the continuum surface height profile.
An ingredient of this PDE is the surface mobility for the adatom flux, which is
a nontrivial extension of the tensor mobility for isotropic terrace diffusion
derived previously by Margetis and Kohn. Approximate, separable solutions of
the PDE are discussed.
| cond-mat.mtrl-sci cond-mat.stat-mech | we study the continuum limit in 21 dimensions of nanoscale anisotropic diffusion processes on crystal surfaces relaxing to become flat below roughening our main result is a continuum law for the surface flux in terms of a new continuumscale tensor mobility the starting point is the burton cabrera and frank bcf theory which offers a discrete scheme for atomic steps whose motion drives surface evolution our derivation is based on the separation of local space variables into fast and slow the model includes i anisotropic diffusion of adsorbed atoms adatoms on terraces separating steps ii diffusion of atoms along step edges and iii attachmentdetachment of atoms at step edges we derive a parabolic fourthorder fully nonlinear partial differential equation pde for the continuum surface height profile an ingredient of this pde is the surface mobility for the adatom flux which is a nontrivial extension of the tensor mobility for isotropic terrace diffusion derived previously by margetis and kohn approximate separable solutions of the pde are discussed | [['we', 'study', 'the', 'continuum', 'limit', 'in', '21', 'dimensions', 'of', 'nanoscale', 'anisotropic', 'diffusion', 'processes', 'on', 'crystal', 'surfaces', 'relaxing', 'to', 'become', 'flat', 'below', 'roughening', 'our', 'main', 'result', 'is', 'a', 'continuum', 'law', 'for', 'the', 'surface', 'flux', 'in', 'terms', 'of', 'a', 'new', 'continuumscale', 'tensor', 'mobility', 'the', 'starting', 'point', 'is', 'the', 'burton', 'cabrera', 'and', 'frank', 'bcf', 'theory', 'which', 'offers', 'a', 'discrete', 'scheme', 'for', 'atomic', 'steps', 'whose', 'motion', 'drives', 'surface', 'evolution', 'our', 'derivation', 'is', 'based', 'on', 'the', 'separation', 'of', 'local', 'space', 'variables', 'into', 'fast', 'and', 'slow', 'the', 'model', 'includes', 'i', 'anisotropic', 'diffusion', 'of', 'adsorbed', 'atoms', 'adatoms', 'on', 'terraces', 'separating', 'steps', 'ii', 'diffusion', 'of', 'atoms', 'along', 'step', 'edges', 'and', 'iii', 'attachmentdetachment', 'of', 'atoms', 'at', 'step', 'edges', 'we', 'derive', 'a', 'parabolic', 'fourthorder', 'fully', 'nonlinear', 'partial', 'differential', 'equation', 'pde', 'for', 'the', 'continuum', 'surface', 'height', 'profile', 'an', 'ingredient', 'of', 'this', 'pde', 'is', 'the', 'surface', 'mobility', 'for', 'the', 'adatom', 'flux', 'which', 'is', 'a', 'nontrivial', 'extension', 'of', 'the', 'tensor', 'mobility', 'for', 'isotropic', 'terrace', 'diffusion', 'derived', 'previously', 'by', 'margetis', 'and', 'kohn', 'approximate', 'separable', 'solutions', 'of', 'the', 'pde', 'are', 'discussed']] | [-0.1081022330930075, 0.11892292554027763, -0.06007976005560752, 0.01287092507889786, -0.055542905904711726, -0.14800694165470818, 0.020167721104766074, 0.35500849992898015, -0.2779596872299528, -0.2425680319765998, 0.049970306087206734, -0.2768492534846427, -0.11340406985745866, 0.13431961149403668, -0.0010179807193554848, 0.03502031753445605, 0.012134777234743786, -0.06719387559422169, -0.027647529401204896, -0.1962381202379713, 0.31827023857923964, 0.024534895554316757, 0.2776013363422041, 0.06712178631506142, 0.12433399312220604, 0.0037724038653344995, -0.015306706112495298, 0.03223316484191932, -0.16804219535215342, 0.12286111685946718, 0.20033093971615457, -0.048702352155695655, 0.20876888717603254, -0.4607652648778475, -0.2527666912948522, -0.010978396696132167, 0.13268974638846984, 0.16355846000622104, -0.02747008633163073, -0.26873901022418617, 0.023472355813326604, -0.07240977485002165, -0.1849080086657665, -0.01800813467006188, 0.07020681769396346, 0.006888397718241146, -0.2566318388436416, 0.14043948681133026, 0.11837120867945837, 0.06639592970738255, -0.08818061114709645, -0.11760430966632957, -0.07740581454148135, 0.05202442214050027, 0.014074607719302582, 0.0021447564043239296, 0.1513214835880257, -0.09502286831034819, -0.06669355637999813, 0.3636079547949225, -0.10222011178182101, -0.18854835877021078, 0.18041071066273803, -0.10962207754793386, -0.09798604303533323, 0.19538383096658501, 0.1518750565083759, 0.12570775728428166, -0.15359043122931237, 0.1276356988370486, -0.012729498926628694, 0.14797942243402135, 0.07072013340811863, -0.022208087985033553, 0.15214646602307547, 0.19605052472002446, 0.1369530186954751, 0.08904445245413177, -0.11392510977941173, -0.12060742332538343, -0.3194415043164269, -0.23204609399159293, -0.20855162940436908, 0.07894375456317541, -0.11311309162740517, -0.2175227874014751, 0.37001445385597553, 0.0597147811204195, 0.18950785939821535, 0.03272639466197151, 0.21550078903526876, 0.16534305672323982, 0.002732620902740991, 0.06118394901708795, 0.19347699575058847, 0.18303260541133898, 0.10454850896199919, -0.24241218683646476, 0.04219722213835107, 0.14854640408463957] |
711.4372 | The elliptical galaxy NGC 5044: Stellar population and ionized gas | In this work we investigate the stellar population, metallicity distribution
and ionized gas in the elliptical galaxy NGC 5044, using long-slit spectroscopy
and a stellar population synthesis method. We found differences in the slope of
metal-line profiles along the galaxy which suggests an enhancement of alpha
elements, particularly towards the central region. The presence of a
non-thermal ionization source, such as a low-luminosity AGN and/or shock
ionization, is implied by the large values of the ratio (N II])Ha observed in
all sampled regions. However, the emission lines observed in the external
regions indicate the presence of an additional ionization source, probably hot,
post-AGB stars.
| astro-ph | in this work we investigate the stellar population metallicity distribution and ionized gas in the elliptical galaxy ngc 5044 using longslit spectroscopy and a stellar population synthesis method we found differences in the slope of metalline profiles along the galaxy which suggests an enhancement of alpha elements particularly towards the central region the presence of a nonthermal ionization source such as a lowluminosity agn andor shock ionization is implied by the large values of the ratio n iiha observed in all sampled regions however the emission lines observed in the external regions indicate the presence of an additional ionization source probably hot postagb stars | [['in', 'this', 'work', 'we', 'investigate', 'the', 'stellar', 'population', 'metallicity', 'distribution', 'and', 'ionized', 'gas', 'in', 'the', 'elliptical', 'galaxy', 'ngc', '5044', 'using', 'longslit', 'spectroscopy', 'and', 'a', 'stellar', 'population', 'synthesis', 'method', 'we', 'found', 'differences', 'in', 'the', 'slope', 'of', 'metalline', 'profiles', 'along', 'the', 'galaxy', 'which', 'suggests', 'an', 'enhancement', 'of', 'alpha', 'elements', 'particularly', 'towards', 'the', 'central', 'region', 'the', 'presence', 'of', 'a', 'nonthermal', 'ionization', 'source', 'such', 'as', 'a', 'lowluminosity', 'agn', 'andor', 'shock', 'ionization', 'is', 'implied', 'by', 'the', 'large', 'values', 'of', 'the', 'ratio', 'n', 'iiha', 'observed', 'in', 'all', 'sampled', 'regions', 'however', 'the', 'emission', 'lines', 'observed', 'in', 'the', 'external', 'regions', 'indicate', 'the', 'presence', 'of', 'an', 'additional', 'ionization', 'source', 'probably', 'hot', 'postagb', 'stars']] | [-0.058641903752196904, 0.07490761973475366, -0.03276848855714958, 0.10566470275024095, -0.029446430338654093, -0.04696032809218965, 0.04301613498514948, 0.44964730413630605, -0.1486702074896759, -0.34696691154609793, -0.01260564218458827, -0.2854960778629622, 0.020736866364201818, 0.1731879094060367, -0.01898057166176141, -0.08286711401314488, 0.03160099572358796, -0.1363331972478101, 0.0030807671987881455, -0.20584551129006565, 0.31406847224906626, 0.08676630555419251, 0.1533423088884984, -0.017869136260392573, 0.04539612949212404, -0.12624565387914816, -0.08352946319008389, -0.033165764985964276, -0.10908422477614994, 0.03841319152315219, 0.25101712615399335, 0.09674355174110343, 0.242605666786683, -0.32172755456905666, -0.24670812749536708, 0.05700600794247853, 0.27099669803507054, 0.049797773476502, -0.12602157179767695, -0.2569705705301693, -0.013616227347833606, -0.18303439655238224, -0.2220463668076823, 0.1377444694785831, 0.021793797558460098, 0.04032731509673445, -0.25418261854121316, 0.14090387752982608, 0.023386116653385285, 0.13043179454353565, -0.12643373232388583, -0.09829321753484412, -0.07592874521819445, 0.059452008113462046, 0.025237775459222924, 0.042341808622810416, 0.2457244787768174, -0.16978484418807335, 0.030702283614888214, 0.3790024032708831, -0.08642411264232717, 0.022067737586509723, 0.21103893523999992, -0.2560147723550192, -0.2119455596951481, 0.17935032562281078, 0.12621059669002604, 0.14034466037096885, -0.12223422511194187, 0.006112203135182006, -0.0473492065211758, 0.2304340174126152, 0.028204620099411562, 0.06120001215094817, 0.3150879242278349, 0.05370607328278801, 0.013178837870677503, 0.12483153949198403, -0.2629144122788253, -0.022271918303046662, -0.23296128620551407, -0.09673400451832165, -0.10094862156816256, 0.06532962143179387, -0.15309305917980964, -0.16592598287836433, 0.3290599785395898, 0.0720822745620703, 0.24209079501004174, -0.03237192642476517, 0.3221294148377358, 0.10978236528395567, 0.06754912161984696, 0.15660566598391876, 0.2783543372329754, 0.20867221838964795, 0.0733060641035151, -0.33587089847647944, 0.16373958974593103, -0.024559878032260504] |
711.4373 | Detecting the Rise and Fall of 21 cm Fluctuations with the Murchison
Widefield Array | We forecast the sensitivity with which the Murchison Widefield Array (MWA)
can measure the 21 cm power spectrum of cosmic hydrogen, using radiative
transfer simulations to model reionization and the 21 cm signal. The MWA is
sensitive to roughly a decade in scale (wavenumbers of k ~ 0.1 - 1 h Mpc^{-1}),
with foreground contamination precluding measurements on larger scales, and
thermal detector noise limiting the small scale sensitivity. This amounts
primarily to constraints on two numbers: the amplitude and slope of the 21 cm
power spectrum on the scales probed. We find, however, that the redshift
evolution in these quantities can yield important information about
reionization. Although the power spectrum differs substantially across
plausible models, a generic prediction is that the amplitude of the 21 cm power
spectrum on MWA scales peaks near the epoch when the intergalactic medium (IGM)
is ~ 50% ionized. Moreover, the slope of the 21 cm power spectrum on MWA scales
flattens as the ionization fraction increases and the sizes of the HII regions
grow. Considering detection sensitivity, we show that the optimal MWA antenna
configuration for power spectrum measurements would pack all 500 antenna tiles
as close as possible in a compact core. The MWA is sensitive enough in its
optimal configuration to measure redshift evolution in the slope and amplitude
of the 21 cm power spectrum. Detecting the characteristic redshift evolution of
our models will confirm that observed 21 cm fluctuations originate from the
IGM, and not from foregrounds, and provide an indirect constraint on the
volume-filling factor of HII regions during reionization. After two years of
observations under favorable conditions, the MWA can constrain the filling
factor at an epoch when <x_i> ~ 0.5 to within roughly +/- 0.1 at 2-sigma.
| astro-ph | we forecast the sensitivity with which the murchison widefield array mwa can measure the 21 cm power spectrum of cosmic hydrogen using radiative transfer simulations to model reionization and the 21 cm signal the mwa is sensitive to roughly a decade in scale wavenumbers of k 01 1 h mpc1 with foreground contamination precluding measurements on larger scales and thermal detector noise limiting the small scale sensitivity this amounts primarily to constraints on two numbers the amplitude and slope of the 21 cm power spectrum on the scales probed we find however that the redshift evolution in these quantities can yield important information about reionization although the power spectrum differs substantially across plausible models a generic prediction is that the amplitude of the 21 cm power spectrum on mwa scales peaks near the epoch when the intergalactic medium igm is 50 ionized moreover the slope of the 21 cm power spectrum on mwa scales flattens as the ionization fraction increases and the sizes of the hii regions grow considering detection sensitivity we show that the optimal mwa antenna configuration for power spectrum measurements would pack all 500 antenna tiles as close as possible in a compact core the mwa is sensitive enough in its optimal configuration to measure redshift evolution in the slope and amplitude of the 21 cm power spectrum detecting the characteristic redshift evolution of our models will confirm that observed 21 cm fluctuations originate from the igm and not from foregrounds and provide an indirect constraint on the volumefilling factor of hii regions during reionization after two years of observations under favorable conditions the mwa can constrain the filling factor at an epoch when x_i 05 to within roughly 01 at 2sigma | [['we', 'forecast', 'the', 'sensitivity', 'with', 'which', 'the', 'murchison', 'widefield', 'array', 'mwa', 'can', 'measure', 'the', '21', 'cm', 'power', 'spectrum', 'of', 'cosmic', 'hydrogen', 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711.4374 | Upward shower rates at neutrino telescopes directly determine the
neutrino flux | We show that the rate for upward showers from an isotropic cosmic neutrino
flux at neutrino telescopes like IceCube is independent of the neutrino-nucleon
cross section. For bins that span a relatively narrow range in energy, neither
scaling the cross section, nor changing its power-law energy behavior affects
the upward shower rate, which depends only on the flux. The neutrino flux can
be completely known since its spectral shape can be determined by comparing the
rates in neighboring bins. We also show that the downward shower rate varies
linearly with cross section with a proportionality constant determined by the
energy-dependence of the cross section, independent of the power-law behavior
of the flux. The normalization and energy dependence of the cross section can
be known by comparing the downward rates in neighboring bins.
| hep-ph astro-ph hep-ex | we show that the rate for upward showers from an isotropic cosmic neutrino flux at neutrino telescopes like icecube is independent of the neutrinonucleon cross section for bins that span a relatively narrow range in energy neither scaling the cross section nor changing its powerlaw energy behavior affects the upward shower rate which depends only on the flux the neutrino flux can be completely known since its spectral shape can be determined by comparing the rates in neighboring bins we also show that the downward shower rate varies linearly with cross section with a proportionality constant determined by the energydependence of the cross section independent of the powerlaw behavior of the flux the normalization and energy dependence of the cross section can be known by comparing the downward rates in neighboring bins | [['we', 'show', 'that', 'the', 'rate', 'for', 'upward', 'showers', 'from', 'an', 'isotropic', 'cosmic', 'neutrino', 'flux', 'at', 'neutrino', 'telescopes', 'like', 'icecube', 'is', 'independent', 'of', 'the', 'neutrinonucleon', 'cross', 'section', 'for', 'bins', 'that', 'span', 'a', 'relatively', 'narrow', 'range', 'in', 'energy', 'neither', 'scaling', 'the', 'cross', 'section', 'nor', 'changing', 'its', 'powerlaw', 'energy', 'behavior', 'affects', 'the', 'upward', 'shower', 'rate', 'which', 'depends', 'only', 'on', 'the', 'flux', 'the', 'neutrino', 'flux', 'can', 'be', 'completely', 'known', 'since', 'its', 'spectral', 'shape', 'can', 'be', 'determined', 'by', 'comparing', 'the', 'rates', 'in', 'neighboring', 'bins', 'we', 'also', 'show', 'that', 'the', 'downward', 'shower', 'rate', 'varies', 'linearly', 'with', 'cross', 'section', 'with', 'a', 'proportionality', 'constant', 'determined', 'by', 'the', 'energydependence', 'of', 'the', 'cross', 'section', 'independent', 'of', 'the', 'powerlaw', 'behavior', 'of', 'the', 'flux', 'the', 'normalization', 'and', 'energy', 'dependence', 'of', 'the', 'cross', 'section', 'can', 'be', 'known', 'by', 'comparing', 'the', 'downward', 'rates', 'in', 'neighboring', 'bins']] | [-0.08367731753793178, 0.23986977116995453, -0.034911364958988444, 0.12444549777534451, -0.00802169635426253, -0.04512136521269426, 0.029693423597508983, 0.41802454276969936, -0.24978705699851905, -0.3392148991573997, 0.0012606305050818871, -0.31555372721027886, 0.004854540820374634, 0.22908748923377556, 0.04241758879189464, 0.013696307079182148, 0.07697619141474592, 0.027022229959115837, -0.06875196515730667, -0.2133563180510519, 0.2993592888427277, 0.15761665570916553, 0.28918765811602387, 0.1505575730098468, 0.1006478648456378, 0.01863108328578881, -0.08865803798350196, 0.022293716584416954, -0.12689393794663015, 0.03757100528861029, 0.18432164196697573, 0.0834785503639344, 0.0880474279613488, -0.36260984699368815, -0.16560967450707473, 0.139288186323194, 0.18159494121650685, 0.005386950464912154, 0.010880530346184969, -0.22472956433370145, 0.05627747792680042, -0.2035704661005487, -0.13013831800939937, 0.053352671611884776, 0.006073828144563418, 0.07276308757013106, -0.22357821523804555, 0.12723640174843956, -0.0016772989818656986, -0.020105194286302183, -0.04597387225966844, -0.13923246016951674, -0.07338279927727964, 0.09190770342331345, 0.14942702635325436, 0.012768937756129273, 0.18700696600805686, -0.13477078752959476, -0.0752706658730114, 0.31722453388978133, -0.10222135164782009, -0.14810749918979127, 0.06624801722831432, -0.20902870302300222, -0.07307174361741284, 0.25395058987443475, 0.1634041285777295, 0.0578484042604087, -0.15527495150595452, 0.10570347222109734, -0.014692162449302321, 0.2360882541362309, 0.09814697094120536, -0.020726927997064635, 0.22968405142962706, 0.14383498875593598, 0.10092710928680997, 0.028556315811301552, -0.16162990425381754, -0.04033892474200746, -0.3614293917322136, -0.08661319528508818, -0.1334419952084621, 0.08284427669676722, -0.10953326359429577, -0.14590931020564202, 0.38174388567550166, 0.05293484187021739, 0.2990430242410212, 0.06920207768174198, 0.31149219920520077, 0.17195520015913202, 0.060682387248203726, 0.08567226983282264, 0.331437449648299, 0.12096772253139396, 0.11545328363762096, -0.22375014297501888, 0.12414004515757728, 0.03721331912410361] |
711.4375 | Charm (and Beauty) Production at the Tevatron | We present recent results on heavy flavour production at Tevatron Run II for
typically ~1/fb of analysed proton-antiproton data at a c.m. energy of 1.96
TeV. This includes results on single and correlated open charm and bottom cross
sections, charm pair production kinematics, J/psi, psi(2S) and chi cross
sections and polarisation measurements in J/psi, psi(2S), Upsilon(1S), and
Upsilon(2S).
| hep-ex | we present recent results on heavy flavour production at tevatron run ii for typically 1fb of analysed protonantiproton data at a cm energy of 196 tev this includes results on single and correlated open charm and bottom cross sections charm pair production kinematics jpsi psi2s and chi cross sections and polarisation measurements in jpsi psi2s upsilon1s and upsilon2s | [['we', 'present', 'recent', 'results', 'on', 'heavy', 'flavour', 'production', 'at', 'tevatron', 'run', 'ii', 'for', 'typically', '1fb', 'of', 'analysed', 'protonantiproton', 'data', 'at', 'a', 'cm', 'energy', 'of', '196', 'tev', 'this', 'includes', 'results', 'on', 'single', 'and', 'correlated', 'open', 'charm', 'and', 'bottom', 'cross', 'sections', 'charm', 'pair', 'production', 'kinematics', 'jpsi', 'psi2s', 'and', 'chi', 'cross', 'sections', 'and', 'polarisation', 'measurements', 'in', 'jpsi', 'psi2s', 'upsilon1s', 'and', 'upsilon2s']] | [0.02444835371691091, 0.22462613945666315, -0.0834141551789924, 0.18988028097022647, 0.020459337348664373, -0.11799514296079247, 0.031607290786080836, 0.3407478776664056, -0.11870724499097159, -0.24861826445778895, -0.13772512811179882, -0.5022048270650978, 0.24646642653207326, 0.18196835214721746, 0.1583817706700286, 0.22195090815938753, 0.2518788506919197, -0.05211829948078456, -0.007545299990632539, -0.25681008501299496, 0.2718472064122485, -0.009875281890533093, 0.20583635660145302, 0.2782437047391231, 0.020503064687765235, 0.08713006303677785, -0.11120138357289071, -0.14310854298447998, -0.16946096246227108, 0.04968569141908966, 0.3007948804357699, 0.07479846929521139, 0.01678660303225805, -0.3070233155941141, 0.07534467549352296, 0.13882338560732274, 0.11895853003230074, 0.060049015639253474, -0.06964467231039728, -0.38256316156736736, 0.1797316256782104, -0.22373904352044238, -0.03180055869422082, -0.018791694161963874, 0.05360667372186636, -0.12071839000644355, -0.32593135811902324, 0.14049671422931012, -0.17602660876281304, 0.13561926587035172, -0.026078165954396385, -0.32118316649876794, -0.12574369555082301, -0.15375069992070825, 0.06708192937718384, 0.12772900175457771, 0.26745404287819463, -0.1616955598744018, -0.30566759692537115, 0.33059887581601227, -0.06433710724051142, -0.11172127550676593, 0.14264054358575556, -0.2536135663615604, -0.1697842184422088, 0.20265480421547746, 0.424117140793081, 0.034374476819909336, -0.23818926604721566, 0.10648138458531446, -0.0035660381364668236, 0.21828384626584513, 0.1275005892304511, 0.1083404768643708, 0.12069426454475214, 0.2593525717163394, -0.09235134276015491, -0.009328178122061593, -0.1818314041332181, -0.029702557058169925, -0.5551151908805658, -0.09095226467892142, 0.04258664857981534, 0.1366220842404612, 0.00204487488698415, 0.012240741305567068, 0.3393949985761067, -0.05512188786062701, 0.4095718134836904, -0.038752811447042845, 0.34684234969960204, 0.06083528461247875, -0.021894154044526534, 0.16667898675298382, 0.30441096013989943, 0.22569378815462876, 0.28620104711695477, -0.2740413405418653, 0.026809870524347985, -0.016473326555067867] |
711.4376 | Independence-friendly cylindric set algebras | Independence-friendly logic is a conservative extension of first-order logic
that has the same expressive power as existential second-order logic. In her
Ph.D. thesis, Dechesne introduces a variant of independence-friendly logic
called IFG logic. We attempt to algebraize IFG logic in the same way that
Boolean algebra is the algebra of propositional logic and cylindric algebra is
the algebra of first-order logic.
We define independence-friendly cylindric set algebras and prove two main
results. First, every independence-friendly cylindric set algebra over a
structure has an underlying Kleene algebra. Moreover, the class of such
underlying Kleene algebras generates the variety of all Kleene algebras. Hence
the equational theory of the class of Kleene algebras that underly an
independence-friendly cylindric set algebra is finitely axiomatizable. Second,
every one-dimensional independence-friendly cylindric set algebra over a
structure has an underlying monadic Kleene algebra. However, the class of such
underlying monadic Kleene algebras does not generate the variety of all monadic
Kleene algebras. Finally, we offer a conjecture about which subvariety of
monadic Kleene algebras the class of such monadic Kleene algebras does
generate.
| math.LO | independencefriendly logic is a conservative extension of firstorder logic that has the same expressive power as existential secondorder logic in her phd thesis dechesne introduces a variant of independencefriendly logic called ifg logic we attempt to algebraize ifg logic in the same way that boolean algebra is the algebra of propositional logic and cylindric algebra is the algebra of firstorder logic we define independencefriendly cylindric set algebras and prove two main results first every independencefriendly cylindric set algebra over a structure has an underlying kleene algebra moreover the class of such underlying kleene algebras generates the variety of all kleene algebras hence the equational theory of the class of kleene algebras that underly an independencefriendly cylindric set algebra is finitely axiomatizable second every onedimensional independencefriendly cylindric set algebra over a structure has an underlying monadic kleene algebra however the class of such underlying monadic kleene algebras does not generate the variety of all monadic kleene algebras finally we offer a conjecture about which subvariety of monadic kleene algebras the class of such monadic kleene algebras does generate | [['independencefriendly', 'logic', 'is', 'a', 'conservative', 'extension', 'of', 'firstorder', 'logic', 'that', 'has', 'the', 'same', 'expressive', 'power', 'as', 'existential', 'secondorder', 'logic', 'in', 'her', 'phd', 'thesis', 'dechesne', 'introduces', 'a', 'variant', 'of', 'independencefriendly', 'logic', 'called', 'ifg', 'logic', 'we', 'attempt', 'to', 'algebraize', 'ifg', 'logic', 'in', 'the', 'same', 'way', 'that', 'boolean', 'algebra', 'is', 'the', 'algebra', 'of', 'propositional', 'logic', 'and', 'cylindric', 'algebra', 'is', 'the', 'algebra', 'of', 'firstorder', 'logic', 'we', 'define', 'independencefriendly', 'cylindric', 'set', 'algebras', 'and', 'prove', 'two', 'main', 'results', 'first', 'every', 'independencefriendly', 'cylindric', 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711.4377 | Level-dynamic approach to the excited spectra of the Jahn-Teller model -
kink-train lattice and 'glassy' quantum phase | The dynamics of excited phonon spectra of the Exe Jahn-Teller (hereafter, JT)
model mapped onto the generalized Calogero-Moser (gCM) gas of pseudoparticles
implies a complex interplay between nonlinearity and fluctuations of
quasiparticle trajectories. A broad crossover appears in a pseudotime
(interaction strength) between the initial oscillator region and the nonlinear
region of the kink-train lattice as a superlattice of the kink-antikink gCM
trajectories. The local nonlinear fluctuations, nuclei (droplets) of the
growing kink phase arise at the crossover, forming a new intermediate droplet
"glassy" phase as a precursor of the kink phase. The "glassy" phase is related
to a broad maximum in the entropy of the probability distributions of
pseudoparticle accelerations, or level curvatures. The kink-train lattice phase
with multiple kink-antikink collisions is stabilised by long-range correlations
when approaching a semiclassical limit. A series of bifurcations of
nearest-level spacings were recognised as signatures of pre-chaotic behaviour
at the quantum level in the kink phase. Statistical characteristics can be seen
to confirm the coexistence within all of the spectra of both regularity and
chaoticity to a varying extent (nonuniversality). Regions are observed within
which one of the phases is dominant.
| cond-mat.soft cond-mat.stat-mech nlin.CD | the dynamics of excited phonon spectra of the exe jahnteller hereafter jt model mapped onto the generalized calogeromoser gcm gas of pseudoparticles implies a complex interplay between nonlinearity and fluctuations of quasiparticle trajectories a broad crossover appears in a pseudotime interaction strength between the initial oscillator region and the nonlinear region of the kinktrain lattice as a superlattice of the kinkantikink gcm trajectories the local nonlinear fluctuations nuclei droplets of the growing kink phase arise at the crossover forming a new intermediate droplet glassy phase as a precursor of the kink phase the glassy phase is related to a broad maximum in the entropy of the probability distributions of pseudoparticle accelerations or level curvatures the kinktrain lattice phase with multiple kinkantikink collisions is stabilised by longrange correlations when approaching a semiclassical limit a series of bifurcations of nearestlevel spacings were recognised as signatures of prechaotic behaviour at the quantum level in the kink phase statistical characteristics can be seen to confirm the coexistence within all of the spectra of both regularity and chaoticity to a varying extent nonuniversality regions are observed within which one of the phases is dominant | [['the', 'dynamics', 'of', 'excited', 'phonon', 'spectra', 'of', 'the', 'exe', 'jahnteller', 'hereafter', 'jt', 'model', 'mapped', 'onto', 'the', 'generalized', 'calogeromoser', 'gcm', 'gas', 'of', 'pseudoparticles', 'implies', 'a', 'complex', 'interplay', 'between', 'nonlinearity', 'and', 'fluctuations', 'of', 'quasiparticle', 'trajectories', 'a', 'broad', 'crossover', 'appears', 'in', 'a', 'pseudotime', 'interaction', 'strength', 'between', 'the', 'initial', 'oscillator', 'region', 'and', 'the', 'nonlinear', 'region', 'of', 'the', 'kinktrain', 'lattice', 'as', 'a', 'superlattice', 'of', 'the', 'kinkantikink', 'gcm', 'trajectories', 'the', 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711.4378 | Worldwide R&D of Virtual Observatory | Virtual Observatory (VO) is a data intensive online astronomical research and
education environment, taking advantages of advanced information technologies
to achieve seamless and uniform access to astronomical information. The concept
of VO was introduced in late of 1990s to meet challenges brought up with data
avalanche in astronomy. This paper reviews current status of International
Virtual Observatory Alliance, technical highlights from world wide VO projects,
and a brief introduction of Chinese Virtual Observatory.
| astro-ph | virtual observatory vo is a data intensive online astronomical research and education environment taking advantages of advanced information technologies to achieve seamless and uniform access to astronomical information the concept of vo was introduced in late of 1990s to meet challenges brought up with data avalanche in astronomy this paper reviews current status of international virtual observatory alliance technical highlights from world wide vo projects and a brief introduction of chinese virtual observatory | [['virtual', 'observatory', 'vo', 'is', 'a', 'data', 'intensive', 'online', 'astronomical', 'research', 'and', 'education', 'environment', 'taking', 'advantages', 'of', 'advanced', 'information', 'technologies', 'to', 'achieve', 'seamless', 'and', 'uniform', 'access', 'to', 'astronomical', 'information', 'the', 'concept', 'of', 'vo', 'was', 'introduced', 'in', 'late', 'of', '1990s', 'to', 'meet', 'challenges', 'brought', 'up', 'with', 'data', 'avalanche', 'in', 'astronomy', 'this', 'paper', 'reviews', 'current', 'status', 'of', 'international', 'virtual', 'observatory', 'alliance', 'technical', 'highlights', 'from', 'world', 'wide', 'vo', 'projects', 'and', 'a', 'brief', 'introduction', 'of', 'chinese', 'virtual', 'observatory']] | [-0.11640444325206623, 0.09803768257572226, -0.0522158881075272, 0.07007829763141958, -0.17618241844928428, -0.09912217372696694, 0.0657881308611712, 0.38403497926559144, -0.23190658673490971, -0.37931461984687165, 0.11924914201747065, -0.30094737477906763, -0.13744212607916903, 0.2173594235353274, -0.12146065005879492, 0.0015625010885629957, 0.1765360233297393, -0.08628841705798898, 0.012823088049939643, -0.2639039416720912, 0.27236929151376277, 0.17310550184410117, 0.38162656654029675, 0.10560522683296505, 0.10121503197715605, 0.009765987022945734, -0.2019071294718792, -0.08317168060792228, -0.06243842128307035, 0.19183794752222627, 0.4425306895824328, 0.2609315159258573, 0.35483535175783437, -0.4585720575478387, -0.1178827822489077, -0.018804446245505386, 0.07355422817795754, 0.0012645171317335678, -0.07790695782750845, -0.383385083523311, -0.012465843101580665, -0.2508256513727446, -0.19481354706907925, 0.0122136708144864, 0.018643481483880738, 0.020482349375339402, -0.1860105468738467, -0.15775854839012027, -0.08217192012561511, 0.1580248316048249, -0.06222017979359395, -0.10696334212106232, 0.051066928045594526, 0.2582179776405635, 0.030160963816778758, 0.07707397178076973, 0.09622278221410839, -0.1550206428119428, -0.15859358061156045, 0.41897100465346687, -0.056801312912434135, 0.03408834973528777, 0.19647690476626412, -0.1215317844898019, -0.21146024164284438, 0.10118097867992107, 0.2386615424502078, -0.03291943236828258, -0.25671067324703023, 0.1537819382206741, 0.096699545644734, 0.12850902087935437, 0.0697169080057679, 0.07183775273135748, 0.22475308519213982, 0.25621597908998595, 0.04030880377921339, 0.051140106704137094, -0.07328999995521895, -0.1327065896013216, -0.2043427509695853, -0.22449855720751907, -0.1517047251651242, 0.02590017855384272, 0.025923227011632775, -0.1323511331303887, 0.36719785543949635, 0.20064648303318106, 0.006540353132462869, -0.06903576288908107, 0.39235333216134205, -0.06476998743792511, 0.11237639310843095, 0.061348238443215825, 0.18548364027511738, -0.00998736919248349, 0.3078278421602939, -0.06271852796246642, 0.06959223324968798, 0.012047181504759428] |
711.4379 | Poincare isomorphism in K-theory on manifolds with edges | The aim of this paper is to construct the Poincare isomorphism in K-theory on
manifolds with edges. We show that the Poincare isomorphism can naturally be
constructed in the framework of noncommutative geometry. More precisely, to a
manifold with edges we assign a noncommutative algebra and construct an
isomorphism between the K-group of this algebra and the K-homology group of the
manifold with edges viewed as a compact topological space.
| math.KT math.AP math.OA | the aim of this paper is to construct the poincare isomorphism in ktheory on manifolds with edges we show that the poincare isomorphism can naturally be constructed in the framework of noncommutative geometry more precisely to a manifold with edges we assign a noncommutative algebra and construct an isomorphism between the kgroup of this algebra and the khomology group of the manifold with edges viewed as a compact topological space | [['the', 'aim', 'of', 'this', 'paper', 'is', 'to', 'construct', 'the', 'poincare', 'isomorphism', 'in', 'ktheory', 'on', 'manifolds', 'with', 'edges', 'we', 'show', 'that', 'the', 'poincare', 'isomorphism', 'can', 'naturally', 'be', 'constructed', 'in', 'the', 'framework', 'of', 'noncommutative', 'geometry', 'more', 'precisely', 'to', 'a', 'manifold', 'with', 'edges', 'we', 'assign', 'a', 'noncommutative', 'algebra', 'and', 'construct', 'an', 'isomorphism', 'between', 'the', 'kgroup', 'of', 'this', 'algebra', 'and', 'the', 'khomology', 'group', 'of', 'the', 'manifold', 'with', 'edges', 'viewed', 'as', 'a', 'compact', 'topological', 'space']] | [-0.16285622277396863, 0.05625380592474747, -0.12657643082950795, 0.07322260715300218, -0.1304975895743285, -0.1148855723241078, -0.047663078149448014, 0.3726135136725913, -0.3818189188838005, -0.286154002090916, 0.09758880998207523, -0.22484218422406618, -0.19197691854621682, 0.11921312646674258, -0.19072822434827685, -0.06391890714211124, 0.05069316677483065, 0.09601019301584789, -0.10929882432932832, -0.2324895264979984, 0.46979037203959056, 0.002443798538297415, 0.2144953267582293, 0.011375287201787744, 0.10805703670318638, 0.002871071021737797, 0.014822689530306628, 0.02329045566023394, -0.14013317197147573, 0.17497642499261667, 0.3429032687629972, 0.037383352293233786, 0.1542014114824789, -0.39771000262615935, -0.11733815576881171, 0.1771811403600233, 0.11690127536920565, 0.013257556651452822, -0.0341881255080807, -0.3135390889963933, 0.093135484999844, -0.16419945218201196, -0.11112129780064736, -0.0887448677327484, 0.06471798505101885, -0.07140308574640325, -0.22198756161545005, -0.057763516623526814, 0.05827458923948663, 0.07791388457574483, -0.06713789383481655, 0.038649776484817266, -0.09477798700598734, 0.0955561271536031, -0.053329987973640004, 0.09103766758260982, 0.09463975875239287, -0.0343219513805317, -0.20556274679755526, 0.38017507722335203, -0.05737844350348626, -0.2474859883742673, 0.11510893172983612, -0.16567171616479753, -0.19017831488911593, 0.0810164104614939, 0.089509563307677, 0.16236121613266213, -0.02452741331819977, 0.17664008872151107, -0.1206395849252918, 0.07476912823705269, 0.04192632855847478, -0.011569129509319152, 0.13322304154613188, 0.10227343220529812, 0.13087868082470128, 0.18351365667601516, 0.015877739276870022, -0.036843633013112206, -0.34788960670786245, -0.2417918906281037, -0.13587092225539632, 0.17598250528265322, -0.14213315301666235, -0.18953721765428783, 0.43507759320283573, 0.09853859467298857, 0.27482678102595465, 0.10868085626778858, 0.2220330053674323, 0.06927798522270417, 0.08676385338019048, 0.07510385605772692, 0.15253705007157156, 0.23438254161072627, -0.045306662463450005, -0.11613741861074231, -0.09717493766386594, 0.2252684277881469] |
711.438 | Randomness and metastability in CDMA paradigms | Code Division Multiple Access (CDMA) in which the signature code assignment
to users contains a random element has recently become a cornerstone of CDMA
research. The random element in the construction is particularly attractive in
that it provides robustness and flexibility in application, whilst not making
significant sacrifices in terms of multiuser efficiency. We present results for
sparse random codes of two types, with and without modulation. Simple
microscopic consideration on system samples would suggest differences in the
phase space of the two models, but we demonstrate that the thermodynamic
results and metastable states are equivalent in the minimum bit error rate
detector. We analyse marginal properties of interactions and also make
analogies to constraint satisfiability problems in order to understand
qualitative features of detection and metastable states. This may have
consequences for developing algorithmic methods to escape metastable states,
thus improving decoding performance.
| cs.IT math.IT | code division multiple access cdma in which the signature code assignment to users contains a random element has recently become a cornerstone of cdma research the random element in the construction is particularly attractive in that it provides robustness and flexibility in application whilst not making significant sacrifices in terms of multiuser efficiency we present results for sparse random codes of two types with and without modulation simple microscopic consideration on system samples would suggest differences in the phase space of the two models but we demonstrate that the thermodynamic results and metastable states are equivalent in the minimum bit error rate detector we analyse marginal properties of interactions and also make analogies to constraint satisfiability problems in order to understand qualitative features of detection and metastable states this may have consequences for developing algorithmic methods to escape metastable states thus improving decoding performance | [['code', 'division', 'multiple', 'access', 'cdma', 'in', 'which', 'the', 'signature', 'code', 'assignment', 'to', 'users', 'contains', 'a', 'random', 'element', 'has', 'recently', 'become', 'a', 'cornerstone', 'of', 'cdma', 'research', 'the', 'random', 'element', 'in', 'the', 'construction', 'is', 'particularly', 'attractive', 'in', 'that', 'it', 'provides', 'robustness', 'and', 'flexibility', 'in', 'application', 'whilst', 'not', 'making', 'significant', 'sacrifices', 'in', 'terms', 'of', 'multiuser', 'efficiency', 'we', 'present', 'results', 'for', 'sparse', 'random', 'codes', 'of', 'two', 'types', 'with', 'and', 'without', 'modulation', 'simple', 'microscopic', 'consideration', 'on', 'system', 'samples', 'would', 'suggest', 'differences', 'in', 'the', 'phase', 'space', 'of', 'the', 'two', 'models', 'but', 'we', 'demonstrate', 'that', 'the', 'thermodynamic', 'results', 'and', 'metastable', 'states', 'are', 'equivalent', 'in', 'the', 'minimum', 'bit', 'error', 'rate', 'detector', 'we', 'analyse', 'marginal', 'properties', 'of', 'interactions', 'and', 'also', 'make', 'analogies', 'to', 'constraint', 'satisfiability', 'problems', 'in', 'order', 'to', 'understand', 'qualitative', 'features', 'of', 'detection', 'and', 'metastable', 'states', 'this', 'may', 'have', 'consequences', 'for', 'developing', 'algorithmic', 'methods', 'to', 'escape', 'metastable', 'states', 'thus', 'improving', 'decoding', 'performance']] | [-0.13740856111043184, 0.07741584798188544, -0.08252773380768809, 0.08027917903867395, -0.04813133286208742, -0.18243815493123192, 0.08638377935696756, 0.39281638392680585, -0.244241733218789, -0.29253229907933725, 0.0979325566101276, -0.2683567609199397, -0.14824823528761044, 0.177934910424584, -0.08914505980404404, 0.07870347834735487, 0.09236591051255043, 0.01847585945991644, -0.08090437518775515, -0.2600085940874932, 0.26545494767682004, 0.10025315224063686, 0.3137724541269967, 0.05953197668875671, 0.05869077279930934, -0.012872511713390445, -0.017070806184266176, -0.006842279063170685, -0.0885535984583233, 0.08392815860416805, 0.3124481148110792, 0.1694554299109667, 0.27653625231080997, -0.41480680551224697, -0.2524541620690191, 0.1062853383159058, 0.16923460246794597, 0.13424644317112527, -0.09447808927587983, -0.2396147580843212, 0.1149942176493318, -0.16655384800186665, -0.07689695543376729, -0.09175047720135707, 0.010114567215269845, 0.0032131008984934953, -0.29354888856889577, 0.017909826453534252, 0.06280520448409435, 0.05610891990363598, -0.05839424363188704, -0.1326449271121722, 0.03599248621321749, 0.12878578481387296, 0.023702488115102623, -0.0239534737993381, 0.07925103602853294, -0.12785717402888017, -0.15514623561951643, 0.3786074354753105, -0.028778172558102395, -0.2184137627741115, 0.22591825392252454, -0.09338430426012362, -0.16361777041068612, 0.15111623989974354, 0.20027176696910626, 0.05562677772791681, -0.12827065394635107, 0.058233926154773345, 0.01714302283006772, 0.19549723378279144, 0.0580224173989134, 0.13171608467301768, 0.1928486972044791, 0.1773809013280293, 0.0593536436742094, 0.15785606584783332, -0.0734120687686502, -0.15212956441003675, -0.22634801885295827, -0.16396650583697514, -0.16099456250473546, -0.003831820431413588, -0.09170938187758616, -0.16708334214248075, 0.40016582545811413, 0.18616563599546984, 0.13315506099186475, 0.0576822486934058, 0.2922947301283582, 0.061017568502898537, 0.05536333598946738, 0.06852749805612904, 0.2205494186362355, 0.11336615744140646, 0.056952927006124004, -0.20434804465427683, 0.10018933129160562, 0.04660923732444644] |
711.4381 | Geometric Frustration and Interparticle Gap Size Distributions in
Ordered Hexagonal Polydisperse Disk Packs | This work analyzes the distribution and size of interparticle gaps arising in
an ensemble of hexagonal unit structures in the xy plane when packing disks
with a Gaussian distribution of radii with mean (r) and standard deviation
$\Delta r$. During the course of this investigation an equivalency is
established between gaps arising in hexagonal unit structure packs and
nine-ball billiard rack patterns. An analytic expression is derived for the
probability distribution and location of interparticle gaps of magnitude
$\Gamma$. Due to the number of variables and large number of possible
arrangements, a Monte Carlo simulation has been conducted to complement and
probe the analytic form for three very different systems: i) billiard balls
with Billiard Congress of America (BCA) specifications, ii) US pennies with
specifications of the US Mint, and iii) a hypothetical system with $r = 1.0 m$
and $\Delta r = 1x10^{-10}$ m corresponding to the scale of one atomic radius.
In each case, probability density distributions of gap sizes have been
calculated for those $\Delta r$ above, and also for 2$\Delta r$ and 0.5$\Delta
r$, respectively. A general result is presented for the probability of a
nonzero normalized ($\frac{\Gamma}{\Delta r}$) gap size arising, $P(\Gamma \geq
\alpha \Delta r)= 1-0.124\alpha$, where $\alpha$ is a constant $\leq 5.0$. This
curious result reflects the phenomenon of geometric frustration; the inability
of the system to simultaneously satisfy all geometric constraints required by a
perfect-rack sans interparticle gaps.
| cond-mat.stat-mech | this work analyzes the distribution and size of interparticle gaps arising in an ensemble of hexagonal unit structures in the xy plane when packing disks with a gaussian distribution of radii with mean r and standard deviation delta r during the course of this investigation an equivalency is established between gaps arising in hexagonal unit structure packs and nineball billiard rack patterns an analytic expression is derived for the probability distribution and location of interparticle gaps of magnitude gamma due to the number of variables and large number of possible arrangements a monte carlo simulation has been conducted to complement and probe the analytic form for three very different systems i billiard balls with billiard congress of america bca specifications ii us pennies with specifications of the us mint and iii a hypothetical system with r 10 m and delta r 1x1010 m corresponding to the scale of one atomic radius in each case probability density distributions of gap sizes have been calculated for those delta r above and also for 2delta r and 05delta r respectively a general result is presented for the probability of a nonzero normalized fracgammadelta r gap size arising pgamma geq alpha delta r 10124alpha where alpha is a constant leq 50 this curious result reflects the phenomenon of geometric frustration the inability of the system to simultaneously satisfy all geometric constraints required by a perfectrack sans interparticle gaps | [['this', 'work', 'analyzes', 'the', 'distribution', 'and', 'size', 'of', 'interparticle', 'gaps', 'arising', 'in', 'an', 'ensemble', 'of', 'hexagonal', 'unit', 'structures', 'in', 'the', 'xy', 'plane', 'when', 'packing', 'disks', 'with', 'a', 'gaussian', 'distribution', 'of', 'radii', 'with', 'mean', 'r', 'and', 'standard', 'deviation', 'delta', 'r', 'during', 'the', 'course', 'of', 'this', 'investigation', 'an', 'equivalency', 'is', 'established', 'between', 'gaps', 'arising', 'in', 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711.4382 | Weighted Ehrhart Theory and Orbifold Cohomology | We introduce the notion of a weighted $\delta$-vector of a lattice polytope.
Although the definition is motivated by motivic integration, we study weighted
$\delta$-vectors from a combinatorial perspective. We present a version of
Ehrhart Reciprocity and prove a change of variables formula. We deduce a new
geometric interpretation of the coefficients of the Ehrhart $\delta$-vector.
More specifically, they are sums of dimensions of orbifold cohomology groups of
a toric stack.
| math.CO math.AG | we introduce the notion of a weighted deltavector of a lattice polytope although the definition is motivated by motivic integration we study weighted deltavectors from a combinatorial perspective we present a version of ehrhart reciprocity and prove a change of variables formula we deduce a new geometric interpretation of the coefficients of the ehrhart deltavector more specifically they are sums of dimensions of orbifold cohomology groups of a toric stack | [['we', 'introduce', 'the', 'notion', 'of', 'a', 'weighted', 'deltavector', 'of', 'a', 'lattice', 'polytope', 'although', 'the', 'definition', 'is', 'motivated', 'by', 'motivic', 'integration', 'we', 'study', 'weighted', 'deltavectors', 'from', 'a', 'combinatorial', 'perspective', 'we', 'present', 'a', 'version', 'of', 'ehrhart', 'reciprocity', 'and', 'prove', 'a', 'change', 'of', 'variables', 'formula', 'we', 'deduce', 'a', 'new', 'geometric', 'interpretation', 'of', 'the', 'coefficients', 'of', 'the', 'ehrhart', 'deltavector', 'more', 'specifically', 'they', 'are', 'sums', 'of', 'dimensions', 'of', 'orbifold', 'cohomology', 'groups', 'of', 'a', 'toric', 'stack']] | [-0.21558627024725346, 0.029084177368453572, -0.18231957698506968, 0.10554529611586726, -0.12518201321363448, -0.11364512846006879, 0.07654968934865403, 0.3224703034386039, -0.36279006701494965, -0.1894276705799192, 0.12193149256054311, -0.22032533838812793, -0.24631823917318668, 0.1424358175136149, -0.20857611897268466, -0.030133047393922294, 0.030561419067505216, 0.015869130659848452, -0.12973619108410536, -0.30963962329218964, 0.3956522931211761, -0.028910779640344636, 0.20670875216435108, 0.09147362705220335, 0.11350787677802146, 0.06117873413022608, -0.07451566967314907, 0.043831998535564964, -0.21919171481526323, 0.24411939422466924, 0.24335701252732958, 0.10259645289541887, 0.21128570019666637, -0.3766755665253316, -0.10234770158837948, 0.15962124408355782, 0.09888505216554871, 0.06532358685840986, -0.0017233422922020378, -0.2067672786968095, 0.06853898066495145, -0.17780903090190675, -0.1662664613187579, -0.09979524551890791, 0.020135580216135297, 0.032467910085272576, -0.26116347700091347, 0.031089776707813144, 0.06339969084198986, 0.18307853785476513, -0.05289311381888443, -0.13175839274855597, 0.009677098475263587, 0.019108558971700922, -0.03739594714217154, 0.002763771142677537, 0.07221024903867926, -0.11184413741741861, -0.20965238425248703, 0.3954190266185573, 0.003966795797792397, -0.20686316468885968, 0.03879124337774036, -0.1516760447262121, -0.18708526232678976, 0.09601324385564242, 0.10081032813925828, 0.19214192676757064, -0.04572620519569942, 0.10596498454438656, -0.1960447348388178, 0.06826250220515899, 0.12172020242017295, 0.05579974672624043, 0.1813006017290588, 0.09905827772204898, 0.07170968251302838, 0.21868938832942927, 0.003010858256103737, -0.07368618404891875, -0.3318475738966039, -0.24191866758545594, -0.1828084692192663, 0.18538859602329985, -0.1466890069720518, -0.18924753566472127, 0.3853199245940362, 0.05486629786901176, 0.20417661228483278, 0.19388547118952765, 0.2084651845906462, 0.09676128256001643, 0.03480681328468823, -0.005664826803175467, 0.06931659259966441, 0.21590130620835615, 0.0348014966451696, -0.09597028211490917, -0.0021792094688862563, 0.2734011430758983] |
711.4383 | Elastic constants and volume changes associated with two high-pressure
rhombohedral phase transformations in vanadium | We present results from ab initio calculations of the mechanical properties
of the rhombohedral phase (beta) of vanadium metal reported in recent
experiments, and other predicted high-pressure phases (gamma and bcc), focusing
on properties relevant to dynamic experiments. We find that the volume change
associated with these transitions is small: no more than 0.15% (for beta -
gamma). Calculations of the single crystal and polycrystal elastic moduli
(stress-strain coefficients) reveal a remarkably small discontinuity in the
shear modulus and other elastic properties across the phase transitions even at
zero temperature where the transitions are first order.
| cond-mat.mtrl-sci | we present results from ab initio calculations of the mechanical properties of the rhombohedral phase beta of vanadium metal reported in recent experiments and other predicted highpressure phases gamma and bcc focusing on properties relevant to dynamic experiments we find that the volume change associated with these transitions is small no more than 015 for beta gamma calculations of the single crystal and polycrystal elastic moduli stressstrain coefficients reveal a remarkably small discontinuity in the shear modulus and other elastic properties across the phase transitions even at zero temperature where the transitions are first order | [['we', 'present', 'results', 'from', 'ab', 'initio', 'calculations', 'of', 'the', 'mechanical', 'properties', 'of', 'the', 'rhombohedral', 'phase', 'beta', 'of', 'vanadium', 'metal', 'reported', 'in', 'recent', 'experiments', 'and', 'other', 'predicted', 'highpressure', 'phases', 'gamma', 'and', 'bcc', 'focusing', 'on', 'properties', 'relevant', 'to', 'dynamic', 'experiments', 'we', 'find', 'that', 'the', 'volume', 'change', 'associated', 'with', 'these', 'transitions', 'is', 'small', 'no', 'more', 'than', '015', 'for', 'beta', 'gamma', 'calculations', 'of', 'the', 'single', 'crystal', 'and', 'polycrystal', 'elastic', 'moduli', 'stressstrain', 'coefficients', 'reveal', 'a', 'remarkably', 'small', 'discontinuity', 'in', 'the', 'shear', 'modulus', 'and', 'other', 'elastic', 'properties', 'across', 'the', 'phase', 'transitions', 'even', 'at', 'zero', 'temperature', 'where', 'the', 'transitions', 'are', 'first', 'order']] | [-0.13367370069884743, 0.22251994643899564, -0.06078205514993323, -0.04523346387217508, -0.03314047009242992, -0.10211332042848593, 0.11007135482750048, 0.43052318805926726, -0.2714364860697012, -0.26029115907455747, 0.033012926301575804, -0.34546866650742136, -0.17152894715729514, 0.1744884499544768, 0.10312908937860477, 0.07755308874735707, -0.0006769831133026041, 0.0036531624408732903, -0.17041876950350246, -0.16709049087359362, 0.2578969902555017, 0.014927561603192436, 0.2910846723243594, 0.04775309797474428, -0.014487493878205944, -0.04575365783989822, 0.028665555425380407, 0.05091312943320525, -0.24688158207121122, 0.03370043303033239, 0.2503960813738798, -0.08485068155354575, 0.12957625077351143, -0.45310160566709545, -0.2223923197114154, 0.06427465296399436, 0.04314858239928358, 0.07281903967163281, -0.0644799829897238, -0.22668241826131155, 0.07133650706198655, -0.08907894243143107, -0.11257680520219238, -0.12544570109365802, 0.00629001091185369, 0.02732277807632559, -0.22510219627109013, 0.14336191828999864, -0.010579399421418967, 0.08971440421132444, -0.1285627710387895, -0.1887066521167167, -0.06843114466357388, 0.06068830496484512, 0.057704060149722194, 0.027092611672062623, 0.1711379406385516, -0.12912025846736996, -0.06818119261511847, 0.45030404026375004, -0.034592502754898495, -0.06231495645877562, 0.18546932715628492, -0.2101077137737057, -0.1555142651753206, 0.21503442198920406, 0.12137326522620003, 0.10165003222952548, -0.08311501389467403, 0.057941989519780406, 0.03453524581548807, 0.2111705643566031, 0.05276974319529377, 0.009704592822756814, 0.1719738317457469, 0.18367071144871022, -0.04122982443751473, 0.12654487992771657, -0.12477622508181652, -0.07860102453514149, -0.27507351467287855, -0.14724977985759707, -0.15974050546555144, 0.01554919067084005, -0.13681999532640668, -0.20728268677270725, 0.3414584805306635, 0.07359122693122021, 0.19172725739129085, -0.011261632639338801, 0.22769064740767997, 0.052831968312200744, 0.030509027064238723, 0.005561617413829816, 0.3125610189610406, 0.14853333041660097, 0.08197207662129873, -0.269851558515802, 0.09801324516853416, 0.011742017584803857] |
711.4384 | Creation of the X-ray Cavity Jet and its Radio Lobe in M87/Virgo with
Cosmic Rays; Relevance to Relic Radio Sources | Young cavities in the X-ray emitting hot gas in galaxy clusters are often
filled with radio synchrotron emission and it is widely thought that the
cavities are inflated by these cosmic rays. At a later stage of its evolution,
when the cavity becomes buoyant, the converging flow of gas beneath the cavity
results in a filament of thermal gas, a cavity jet, that moves radially outward
at large subsonic velocities. As the cavity jet forms, the cosmic ray electrons
may diffuse through the cavity walls, filling a large volume surrounding the
cavity jet, as observed in M87/Virgo and elsewhere, sometimes referred to as
relic radio sources. We compute the combined evolution of cosmic rays, cavities
and cavity jets. The observed pattern in M87/Virgo can be reached in 100 Myrs,
matching the synchrotron age of the extended radio source. A 20-30 kpc long
cavity jet is surrounded by a quasi-spherical radio lobe 40 kpc in diameter,
but the initial cavity has disappeared. At later times the cavity jet will fall
back to the origin, leaving only the extended radio source. The combined
jet-lobe evolution in M87/Virgo requires a total cosmic ray energy that is more
than 10 times larger than that usually assumed, 4PV.
| astro-ph | young cavities in the xray emitting hot gas in galaxy clusters are often filled with radio synchrotron emission and it is widely thought that the cavities are inflated by these cosmic rays at a later stage of its evolution when the cavity becomes buoyant the converging flow of gas beneath the cavity results in a filament of thermal gas a cavity jet that moves radially outward at large subsonic velocities as the cavity jet forms the cosmic ray electrons may diffuse through the cavity walls filling a large volume surrounding the cavity jet as observed in m87virgo and elsewhere sometimes referred to as relic radio sources we compute the combined evolution of cosmic rays cavities and cavity jets the observed pattern in m87virgo can be reached in 100 myrs matching the synchrotron age of the extended radio source a 2030 kpc long cavity jet is surrounded by a quasispherical radio lobe 40 kpc in diameter but the initial cavity has disappeared at later times the cavity jet will fall back to the origin leaving only the extended radio source the combined jetlobe evolution in m87virgo requires a total cosmic ray energy that is more than 10 times larger than that usually assumed 4pv | [['young', 'cavities', 'in', 'the', 'xray', 'emitting', 'hot', 'gas', 'in', 'galaxy', 'clusters', 'are', 'often', 'filled', 'with', 'radio', 'synchrotron', 'emission', 'and', 'it', 'is', 'widely', 'thought', 'that', 'the', 'cavities', 'are', 'inflated', 'by', 'these', 'cosmic', 'rays', 'at', 'a', 'later', 'stage', 'of', 'its', 'evolution', 'when', 'the', 'cavity', 'becomes', 'buoyant', 'the', 'converging', 'flow', 'of', 'gas', 'beneath', 'the', 'cavity', 'results', 'in', 'a', 'filament', 'of', 'thermal', 'gas', 'a', 'cavity', 'jet', 'that', 'moves', 'radially', 'outward', 'at', 'large', 'subsonic', 'velocities', 'as', 'the', 'cavity', 'jet', 'forms', 'the', 'cosmic', 'ray', 'electrons', 'may', 'diffuse', 'through', 'the', 'cavity', 'walls', 'filling', 'a', 'large', 'volume', 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711.4385 | Atiyah-Bott index on stratified manifolds | We define Atiyah-Bott index on stratified manifolds and express it in
topological terms. By way of example, we compute this index for geometric
operators on manifolds with edges.
| math.OA math.AP math.KT | we define atiyahbott index on stratified manifolds and express it in topological terms by way of example we compute this index for geometric operators on manifolds with edges | [['we', 'define', 'atiyahbott', 'index', 'on', 'stratified', 'manifolds', 'and', 'express', 'it', 'in', 'topological', 'terms', 'by', 'way', 'of', 'example', 'we', 'compute', 'this', 'index', 'for', 'geometric', 'operators', 'on', 'manifolds', 'with', 'edges']] | [-0.12961857566343887, 0.1040855751905058, -0.0781545478717557, 0.11739468885103374, -0.08450103964423761, -0.09668934458334531, 0.027815943018400242, 0.4056651278265885, -0.2269555740058422, -0.3409631844343884, 0.10756972795934416, -0.27093467954546213, -0.26884595836911884, 0.1707688049479787, -0.18168494970138585, -0.008547175808676652, 0.01771926665346005, 0.03592172970197031, -0.04438357770309916, -0.1880835737766964, 0.47842903515057905, -0.04841143441652613, 0.20829357359824435, 0.07418476393130342, 0.08390115271322429, 0.042901326852318435, -0.06506749628377813, 0.051396569602989724, -0.2282605901626604, 0.19521458706419384, 0.24830488075635263, 0.021017971814477017, 0.09698090462812356, -0.4065667972234743, -0.21298541165223078, 0.10351663505259369, 0.07961049040646426, -0.027851286211184094, 0.016046721280352876, -0.26580768304743935, 0.1290196537239743, -0.15383511342640435, -0.15281731277770763, -0.17677132110111415, 0.052905228354835084, -0.04005615512973496, -0.1883880330050098, -0.021886971496444727, 0.04136086182136621, 0.10454478693593826, -0.05188864186805274, -0.03929783936057772, -0.045296070930947153, 0.0950396629050374, -0.01766365161165595, -0.028079350013285875, 0.09944694133342377, -0.04945191371786807, -0.16598558013460465, 0.34585220366716385, -0.11093952510106776, -0.30883500152932747, 0.1217360036181552, -0.09488069221177804, -0.16951633008596087, 0.001086059691650527, 0.18108524561726622, 0.2059161499408739, 0.005582397038649235, 0.1439494539829736, -0.06482917709009987, 0.07088987442797848, 0.1279226737429521, 0.04593688928123031, 0.13015689807278769, 0.0534863938311381, 0.19285382127522357, 0.20496581315195986, 0.03218644429996077, -0.05716254109782832, -0.3150830191693136, -0.26164881815202534, -0.1381031016686133, 0.12133041451618608, -0.15592119882629568, -0.23196034572486365, 0.45787631374384674, 0.0723817046133003, 0.21908084945087986, 0.10237572304738153, 0.24738209301306466, 0.1604114468375753, 0.039764870290777514, 0.09476584600218173, 0.12986604252364486, 0.1886890468137738, 0.04352473171560892, -0.06270158087967762, -0.018073958427911357, 0.2415750505336161] |
711.4386 | Non-empirical pairing functional | The present contribution reports the first systematic finite-nucleus
calculations performed using the Energy Density Functional method and a
non-empirical pairing functional derived from low-momentum interactions. As a
first step, the effects of Coulomb and the three-body force are omitted while
only the bare two-nucleon interaction at lowest order is considered. To cope
with the finite-range and non-locality of the bare nuclear interaction, the 1S0
channel of Vlowk is mapped onto a convenient operator form. For the first time,
neutron-neutron and proton-proton pairing correlations generated in finite
nuclei by the direct term of the two-nucleon interaction are characterized in a
systematic manner. Eventually, such predictions are compared to those obtained
from empirical local functionals derived from density-dependent zero range
interactions. The characteristics of the latter are analyzed in view of that
comparison and a specific modification of their isovector density dependence is
suggested to accommodate Coulomb effects and the isovector trend of neutron
gaps at the same time.
| nucl-th | the present contribution reports the first systematic finitenucleus calculations performed using the energy density functional method and a nonempirical pairing functional derived from lowmomentum interactions as a first step the effects of coulomb and the threebody force are omitted while only the bare twonucleon interaction at lowest order is considered to cope with the finiterange and nonlocality of the bare nuclear interaction the 1s0 channel of vlowk is mapped onto a convenient operator form for the first time neutronneutron and protonproton pairing correlations generated in finite nuclei by the direct term of the twonucleon interaction are characterized in a systematic manner eventually such predictions are compared to those obtained from empirical local functionals derived from densitydependent zero range interactions the characteristics of the latter are analyzed in view of that comparison and a specific modification of their isovector density dependence is suggested to accommodate coulomb effects and the isovector trend of neutron gaps at the same time | [['the', 'present', 'contribution', 'reports', 'the', 'first', 'systematic', 'finitenucleus', 'calculations', 'performed', 'using', 'the', 'energy', 'density', 'functional', 'method', 'and', 'a', 'nonempirical', 'pairing', 'functional', 'derived', 'from', 'lowmomentum', 'interactions', 'as', 'a', 'first', 'step', 'the', 'effects', 'of', 'coulomb', 'and', 'the', 'threebody', 'force', 'are', 'omitted', 'while', 'only', 'the', 'bare', 'twonucleon', 'interaction', 'at', 'lowest', 'order', 'is', 'considered', 'to', 'cope', 'with', 'the', 'finiterange', 'and', 'nonlocality', 'of', 'the', 'bare', 'nuclear', 'interaction', 'the', '1s0', 'channel', 'of', 'vlowk', 'is', 'mapped', 'onto', 'a', 'convenient', 'operator', 'form', 'for', 'the', 'first', 'time', 'neutronneutron', 'and', 'protonproton', 'pairing', 'correlations', 'generated', 'in', 'finite', 'nuclei', 'by', 'the', 'direct', 'term', 'of', 'the', 'twonucleon', 'interaction', 'are', 'characterized', 'in', 'a', 'systematic', 'manner', 'eventually', 'such', 'predictions', 'are', 'compared', 'to', 'those', 'obtained', 'from', 'empirical', 'local', 'functionals', 'derived', 'from', 'densitydependent', 'zero', 'range', 'interactions', 'the', 'characteristics', 'of', 'the', 'latter', 'are', 'analyzed', 'in', 'view', 'of', 'that', 'comparison', 'and', 'a', 'specific', 'modification', 'of', 'their', 'isovector', 'density', 'dependence', 'is', 'suggested', 'to', 'accommodate', 'coulomb', 'effects', 'and', 'the', 'isovector', 'trend', 'of', 'neutron', 'gaps', 'at', 'the', 'same', 'time']] | [-0.11344024925701654, 0.14941478584809467, -0.12045575363504796, 0.12935749416833575, -0.014647692125529433, -0.08574137098203675, 0.03527911211877393, 0.33800251914474827, -0.2430317252396773, -0.28815393764839076, -0.0494456767986636, -0.3318365628007226, -0.0665068293053012, 0.10755111672169267, 0.10145805124491931, 0.043063089523154, 0.03958007293150354, 0.040229461048371516, -0.10992761777575091, -0.16869317744455586, 0.3629276360704516, 0.059420547573469006, 0.22743710428356934, 0.12210674303918122, 0.024351960071959555, 0.05186193712320229, -0.037626666925252024, 0.009753007053708037, -0.11115595454355524, 0.08938361213912661, 0.2577589699033594, -0.0334117986763326, 0.2399055637562504, -0.46056215120001864, -0.19094396180410583, 0.06032304931432009, 0.1150663104818728, 0.15382787513469035, -0.05764319369709716, -0.31660557162756914, 0.03183331452563811, -0.2653408564092854, -0.13244742738569562, -0.10232906633964142, 0.021894338122831706, 0.062292421600432135, -0.2960419260466901, 0.12508793092125323, -0.008328851216878647, 0.050321547145451916, -0.11376326517739262, -0.18713663175152853, -0.021900557833783425, 0.1252011645059937, 0.08612793027303922, 0.05647563110762395, 0.1457277140371167, -0.12693354977258983, -0.04805119441022189, 0.3883750291529279, -0.05542274680099068, -0.15958253263931674, 0.16451408961849012, -0.11854410929850136, -0.08622980425552203, 0.14645291936362925, 0.13030371851234052, 0.08154171604054192, -0.1938743006411152, 0.09573520492920533, 0.041692880109155506, 0.16873189021284, 0.035298682074659526, 0.06128771116551107, 0.13189933324853578, 0.15436661260154766, 0.012779074488207698, 0.07343748393349159, -0.09528612898877607, -0.12597642397173706, -0.3486303502234081, -0.039886194275310025, -0.2142662295164206, 0.012625148027347257, -0.05222429843128432, -0.11222504870966077, 0.3665323702902802, 0.08467380371765988, 0.19334099210428599, 0.01963330165315897, 0.28126197699935007, 0.12717854235663067, 0.12037326899978022, 0.0026920699777129367, 0.29666681659336275, 0.16647885173995, 0.07072118115880024, -0.29485665715317455, 0.0677058821460471, 0.06345203670207411] |
711.4387 | SkyMouse: A smart interface for astronomical on-line resources and
services | With the development of network and the World Wide Web (WWW), the Internet
has been growing and changing dramatically. More and more on-line database
systems and different kinds of services are available for astronomy research.
How to help users find their way through the jungle of information services
becomes an important challenge. Although astronomers have been aware of the
importance of interoperability and introduced the concept of Virtual
Observatory as a uniform environment for future astronomical on-line resources
and services, transparent access to heterogeneous on-line information is still
difficult.
SkyMouse is a lightweight interface for distributed astronomical on-line
resources and services, which is designed and developed by us, i.e., Chinese
Virtual Observatory Project. Taking advantage of screen word-capturing
technology, different kinds of information systems can be queried through
simple mouse actions, and results are returned in a uniform web page. SkyMouse
is an easy to use application, aiming to show basic information or to create a
comprehensive overview of a specific astronomical object.
In this paper current status of on-line resources and services access is
reviewed; system architecture, features and functions of SkyMouse are
described; challenges for intelligent interface for on-line astronomical
resources and services are discussed.
| astro-ph | with the development of network and the world wide web www the internet has been growing and changing dramatically more and more online database systems and different kinds of services are available for astronomy research how to help users find their way through the jungle of information services becomes an important challenge although astronomers have been aware of the importance of interoperability and introduced the concept of virtual observatory as a uniform environment for future astronomical online resources and services transparent access to heterogeneous online information is still difficult skymouse is a lightweight interface for distributed astronomical online resources and services which is designed and developed by us ie chinese virtual observatory project taking advantage of screen wordcapturing technology different kinds of information systems can be queried through simple mouse actions and results are returned in a uniform web page skymouse is an easy to use application aiming to show basic information or to create a comprehensive overview of a specific astronomical object in this paper current status of online resources and services access is reviewed system architecture features and functions of skymouse are described challenges for intelligent interface for online astronomical resources and services are discussed | [['with', 'the', 'development', 'of', 'network', 'and', 'the', 'world', 'wide', 'web', 'www', 'the', 'internet', 'has', 'been', 'growing', 'and', 'changing', 'dramatically', 'more', 'and', 'more', 'online', 'database', 'systems', 'and', 'different', 'kinds', 'of', 'services', 'are', 'available', 'for', 'astronomy', 'research', 'how', 'to', 'help', 'users', 'find', 'their', 'way', 'through', 'the', 'jungle', 'of', 'information', 'services', 'becomes', 'an', 'important', 'challenge', 'although', 'astronomers', 'have', 'been', 'aware', 'of', 'the', 'importance', 'of', 'interoperability', 'and', 'introduced', 'the', 'concept', 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711.4388 | Contextual Information Retrieval based on Algorithmic Information Theory
and Statistical Outlier Detection | The main contribution of this paper is to design an Information Retrieval
(IR) technique based on Algorithmic Information Theory (using the Normalized
Compression Distance- NCD), statistical techniques (outliers), and novel
organization of data base structure. The paper shows how they can be integrated
to retrieve information from generic databases using long (text-based) queries.
Two important problems are analyzed in the paper. On the one hand, how to
detect "false positives" when the distance among the documents is very low and
there is actual similarity. On the other hand, we propose a way to structure a
document database which similarities distance estimation depends on the length
of the selected text. Finally, the experimental evaluations that have been
carried out to study previous problems are shown.
| cs.IR cs.IT math.IT | the main contribution of this paper is to design an information retrieval ir technique based on algorithmic information theory using the normalized compression distance ncd statistical techniques outliers and novel organization of data base structure the paper shows how they can be integrated to retrieve information from generic databases using long textbased queries two important problems are analyzed in the paper on the one hand how to detect false positives when the distance among the documents is very low and there is actual similarity on the other hand we propose a way to structure a document database which similarities distance estimation depends on the length of the selected text finally the experimental evaluations that have been carried out to study previous problems are shown | [['the', 'main', 'contribution', 'of', 'this', 'paper', 'is', 'to', 'design', 'an', 'information', 'retrieval', 'ir', 'technique', 'based', 'on', 'algorithmic', 'information', 'theory', 'using', 'the', 'normalized', 'compression', 'distance', 'ncd', 'statistical', 'techniques', 'outliers', 'and', 'novel', 'organization', 'of', 'data', 'base', 'structure', 'the', 'paper', 'shows', 'how', 'they', 'can', 'be', 'integrated', 'to', 'retrieve', 'information', 'from', 'generic', 'databases', 'using', 'long', 'textbased', 'queries', 'two', 'important', 'problems', 'are', 'analyzed', 'in', 'the', 'paper', 'on', 'the', 'one', 'hand', 'how', 'to', 'detect', 'false', 'positives', 'when', 'the', 'distance', 'among', 'the', 'documents', 'is', 'very', 'low', 'and', 'there', 'is', 'actual', 'similarity', 'on', 'the', 'other', 'hand', 'we', 'propose', 'a', 'way', 'to', 'structure', 'a', 'document', 'database', 'which', 'similarities', 'distance', 'estimation', 'depends', 'on', 'the', 'length', 'of', 'the', 'selected', 'text', 'finally', 'the', 'experimental', 'evaluations', 'that', 'have', 'been', 'carried', 'out', 'to', 'study', 'previous', 'problems', 'are', 'shown']] | [-0.0809076336081489, 0.0064193825285568185, -0.12426278940890165, 0.0975153514441298, -0.11079575335926135, -0.1322631876720416, 0.06156038393589457, 0.4126059137389905, -0.3028063090938714, -0.32124906736275843, 0.1268741188621554, -0.33588796924619424, -0.17239299495404045, 0.20148024788396734, -0.10021647876091001, 0.05068523806309508, 0.07496466660766953, 0.08329230152641333, -0.07492768205232889, -0.29343632440037665, 0.34066020970812455, 0.08735515047315388, 0.3307184909410294, 0.05775294997428934, 0.06729242073901508, -0.02572408559987502, -0.095186794890211, 0.03877794055956803, -0.11076202198531857, 0.1886045746580367, 0.29480636784911995, 0.1998830417738176, 0.2737970293552104, -0.3776618707774868, -0.18968813804789417, 0.07537618959172358, 0.15524681931692025, 0.11111028311725316, -0.04581548804942999, -0.2820466255258408, 0.10695118295224083, -0.10760737852298564, 0.00010767471676151598, -0.08382115505575653, 0.026315787709468314, 0.01482631027090153, -0.23059826140430936, 0.02769841127484406, 0.03323073628088159, 0.05917522851978579, -0.010075102075784197, -0.11638048499815105, 0.04611882675934823, 0.18080976110392047, 0.073064599473465, 0.060125514972887394, 0.1407804105716247, -0.09094815823294583, -0.13068916381293563, 0.37603080860008636, -0.030495466334433594, -0.19818461458048514, 0.19539840659502172, -0.04800583778565089, -0.16346345827238815, 0.08752167549344801, 0.21822845131429214, 0.11757850984201557, -0.19344721198978088, 0.03336204462351405, -0.04170648772419701, 0.2619056129722946, 0.06553749882685576, 0.04754436575251842, 0.19059478141547692, 0.1775467972808157, 0.03399858850001868, 0.14340587434074428, -0.13746359670955327, -0.07300174843159414, -0.23499001694783087, -0.11609990573713495, -0.20304351579585683, -0.021927816785811897, -0.07915085683658442, -0.15357887841861567, 0.3585551777955956, 0.24700270011465275, 0.20138987866155203, 0.022020324703208322, 0.3430859459443919, 0.04312497402884952, 0.07255207522276548, 0.06814636208770436, 0.20001454207944805, 0.05626906717905865, 0.09535881232530359, -0.17406098489488114, 0.09791537643515415, 0.04637121120392675] |
711.4389 | Magnetic Field Amplification and Rapid Time Variations in SNR RX
J1713.7-3946 | Evidence is accumulating suggesting that collisionless shocks in supernova
remnants (SNRs) can amplify the interstellar magnetic field to hundreds of
microgauss or even milli-gauss levels, as recently claimed for SNR RX
J1713.7-3946. If these fields exist, they are almost certainly created by
magnetic field amplification (MFA) associated with the efficient production of
cosmic rays by diffusive shock acceleration (DSA) and their existence
strengthens the case for SNRs being the primary source of galactic cosmic ray
ions to the `knee' and beyond. However, the high magnetic field values in SNRs
are obtained exclusively from the interpretation of observations of radiation
from relativistic electrons and if MFA via nonlinear DSA produces these fields
the magnetic field that determines the maximum ion energy will be substantially
less than the field that determines the maximum electron energy. We use results
of a steady-state Monte Carlo simulation to show how nonlinear effects from
efficient cosmic ray production and MFA reduce the maximum energy of protons
relative to what would be expected from test-particle acceleration.
| astro-ph | evidence is accumulating suggesting that collisionless shocks in supernova remnants snrs can amplify the interstellar magnetic field to hundreds of microgauss or even milligauss levels as recently claimed for snr rx j171373946 if these fields exist they are almost certainly created by magnetic field amplification mfa associated with the efficient production of cosmic rays by diffusive shock acceleration dsa and their existence strengthens the case for snrs being the primary source of galactic cosmic ray ions to the knee and beyond however the high magnetic field values in snrs are obtained exclusively from the interpretation of observations of radiation from relativistic electrons and if mfa via nonlinear dsa produces these fields the magnetic field that determines the maximum ion energy will be substantially less than the field that determines the maximum electron energy we use results of a steadystate monte carlo simulation to show how nonlinear effects from efficient cosmic ray production and mfa reduce the maximum energy of protons relative to what would be expected from testparticle acceleration | [['evidence', 'is', 'accumulating', 'suggesting', 'that', 'collisionless', 'shocks', 'in', 'supernova', 'remnants', 'snrs', 'can', 'amplify', 'the', 'interstellar', 'magnetic', 'field', 'to', 'hundreds', 'of', 'microgauss', 'or', 'even', 'milligauss', 'levels', 'as', 'recently', 'claimed', 'for', 'snr', 'rx', 'j171373946', 'if', 'these', 'fields', 'exist', 'they', 'are', 'almost', 'certainly', 'created', 'by', 'magnetic', 'field', 'amplification', 'mfa', 'associated', 'with', 'the', 'efficient', 'production', 'of', 'cosmic', 'rays', 'by', 'diffusive', 'shock', 'acceleration', 'dsa', 'and', 'their', 'existence', 'strengthens', 'the', 'case', 'for', 'snrs', 'being', 'the', 'primary', 'source', 'of', 'galactic', 'cosmic', 'ray', 'ions', 'to', 'the', 'knee', 'and', 'beyond', 'however', 'the', 'high', 'magnetic', 'field', 'values', 'in', 'snrs', 'are', 'obtained', 'exclusively', 'from', 'the', 'interpretation', 'of', 'observations', 'of', 'radiation', 'from', 'relativistic', 'electrons', 'and', 'if', 'mfa', 'via', 'nonlinear', 'dsa', 'produces', 'these', 'fields', 'the', 'magnetic', 'field', 'that', 'determines', 'the', 'maximum', 'ion', 'energy', 'will', 'be', 'substantially', 'less', 'than', 'the', 'field', 'that', 'determines', 'the', 'maximum', 'electron', 'energy', 'we', 'use', 'results', 'of', 'a', 'steadystate', 'monte', 'carlo', 'simulation', 'to', 'show', 'how', 'nonlinear', 'effects', 'from', 'efficient', 'cosmic', 'ray', 'production', 'and', 'mfa', 'reduce', 'the', 'maximum', 'energy', 'of', 'protons', 'relative', 'to', 'what', 'would', 'be', 'expected', 'from', 'testparticle', 'acceleration']] | [-0.10090381557055743, 0.21197416971729705, -0.03089410552793574, 0.16622940945017467, -0.0772774244862548, -0.07210933487895413, -0.002139902475273468, 0.3882416858607848, -0.2665278370872404, -0.3444332135290172, -0.011318171254259992, -0.2690518669172372, 0.0009280904623288551, 0.25072422555162843, 0.06692464861842479, -0.07789416760321605, 0.07956201583147049, -0.014530191440465887, 0.007251910564280253, -0.21903169482736987, 0.26748426455299, 0.2339369970533622, 0.22339925587662227, 0.039606607885557345, 0.08967657899587365, -0.059545190840926486, 0.004746032082792592, 0.032719908081705974, -0.07393624387834236, 0.044002277331603085, 0.20181575182595596, 0.140069577991742, 0.20381561015352342, -0.4802215103605575, -0.2894988331569017, 0.12020507982805283, 0.23050745005220638, 0.08557058655114062, -0.09073034857162798, -0.2331269091097142, 0.09598873101916032, -0.16351589777909176, -0.1571708333309321, 0.018121286945626935, -0.0551580380029789, 0.11057560171135673, -0.2551052713513198, 0.11901800298357945, 0.031279470372234525, 0.043806365388032245, -0.09872479703051407, -0.08845000296070643, 0.0030570635551410404, 0.030497743599337233, 0.13386310631176457, 0.06506188838472644, 0.18175046436058787, -0.16614207939641584, -0.11250278619586451, 0.40114943776830764, -0.04388821096555261, -0.0734693437467533, 0.20944329450380872, -0.23526652705767495, -0.09743151228775727, 0.25897620702107277, 0.1430052713017095, 0.06888529995853114, -0.14972526694995147, 0.06630143220536411, 0.028269864395591458, 0.11562953914764779, 0.06366591017346102, 0.01031461462969017, 0.24269579688208343, 0.07061502746631496, 0.03625277725197154, 0.08292887963710377, -0.16722573505540345, -0.0263949670710397, -0.25473089972731366, -0.1368780600584867, -0.15745383486862585, 0.12637854054206488, -0.11917376882340153, -0.14867233395708737, 0.33941856477156107, 0.19054737422868787, 0.10605393180116658, -0.036162159095667085, 0.316376054808277, 0.11721387761438365, 0.006173465187391322, 0.18971020002303832, 0.35006841318406295, 0.19609570682748667, 0.10555303432653554, -0.21826661364058275, 0.07200944894985378, 0.025405197817633843] |
711.439 | Finite temperature phase diagram of a spin-polarized ultracold Fermi gas
in a highly elongated harmonic trap | We investigate the finite temperature properties of an ultracold atomic Fermi
gas with spin population imbalance in a highly elongated harmonic trap.
Previous studies at zero temperature showed that the gas stays in an exotic
spatially inhomogeneous Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) superfluid
state at the trap center; while moving to the edge, the system changes into
either a non-polarized Bardeen-Cooper-Schriffer superfluid ($P<P_c$) or a fully
polarized normal gas ($P>P_c$), depending on the smallness of the spin
polarization $P$, relative to a critical value $P_c$. In this work, we show how
these two phase-separation phases evolve with increasing temperature, and
thereby construct a finite temperature phase diagram. For typical interactions,
we find that the exotic FFLO phase survives below one-tenth of Fermi degeneracy
temperature, which seems to be accessible in the current experiment. The
density profile, equation of state, and specific heat of the polarized system
have been calculated and discussed in detail. Our results are useful for the
on-going experiment at Rice University on the search for FFLO states in
quasi-one-dimensional polarized Fermi gases.
| cond-mat.stat-mech | we investigate the finite temperature properties of an ultracold atomic fermi gas with spin population imbalance in a highly elongated harmonic trap previous studies at zero temperature showed that the gas stays in an exotic spatially inhomogeneous fuldeferrelllarkinovchinnikov fflo superfluid state at the trap center while moving to the edge the system changes into either a nonpolarized bardeencooperschriffer superfluid pp_c or a fully polarized normal gas pp_c depending on the smallness of the spin polarization p relative to a critical value p_c in this work we show how these two phaseseparation phases evolve with increasing temperature and thereby construct a finite temperature phase diagram for typical interactions we find that the exotic fflo phase survives below onetenth of fermi degeneracy temperature which seems to be accessible in the current experiment the density profile equation of state and specific heat of the polarized system have been calculated and discussed in detail our results are useful for the ongoing experiment at rice university on the search for fflo states in quasionedimensional polarized fermi gases | [['we', 'investigate', 'the', 'finite', 'temperature', 'properties', 'of', 'an', 'ultracold', 'atomic', 'fermi', 'gas', 'with', 'spin', 'population', 'imbalance', 'in', 'a', 'highly', 'elongated', 'harmonic', 'trap', 'previous', 'studies', 'at', 'zero', 'temperature', 'showed', 'that', 'the', 'gas', 'stays', 'in', 'an', 'exotic', 'spatially', 'inhomogeneous', 'fuldeferrelllarkinovchinnikov', 'fflo', 'superfluid', 'state', 'at', 'the', 'trap', 'center', 'while', 'moving', 'to', 'the', 'edge', 'the', 'system', 'changes', 'into', 'either', 'a', 'nonpolarized', 'bardeencooperschriffer', 'superfluid', 'pp_c', 'or', 'a', 'fully', 'polarized', 'normal', 'gas', 'pp_c', 'depending', 'on', 'the', 'smallness', 'of', 'the', 'spin', 'polarization', 'p', 'relative', 'to', 'a', 'critical', 'value', 'p_c', 'in', 'this', 'work', 'we', 'show', 'how', 'these', 'two', 'phaseseparation', 'phases', 'evolve', 'with', 'increasing', 'temperature', 'and', 'thereby', 'construct', 'a', 'finite', 'temperature', 'phase', 'diagram', 'for', 'typical', 'interactions', 'we', 'find', 'that', 'the', 'exotic', 'fflo', 'phase', 'survives', 'below', 'onetenth', 'of', 'fermi', 'degeneracy', 'temperature', 'which', 'seems', 'to', 'be', 'accessible', 'in', 'the', 'current', 'experiment', 'the', 'density', 'profile', 'equation', 'of', 'state', 'and', 'specific', 'heat', 'of', 'the', 'polarized', 'system', 'have', 'been', 'calculated', 'and', 'discussed', 'in', 'detail', 'our', 'results', 'are', 'useful', 'for', 'the', 'ongoing', 'experiment', 'at', 'rice', 'university', 'on', 'the', 'search', 'for', 'fflo', 'states', 'in', 'quasionedimensional', 'polarized', 'fermi', 'gases']] | [-0.1691163377724669, 0.2813938129085812, -0.09107843813179115, 0.04776849329328099, 0.006178819558171685, -0.1692276631460287, 0.08149515558761777, 0.3610518917463027, -0.2271089621502798, -0.2417537068764051, 0.03109834711933725, -0.30597638681552614, -0.010762054799395331, 0.16453868409261369, 0.06523640555475817, 0.02616124996796337, -0.021056937543826915, 0.001735231262458445, -0.11613665631265639, -0.25014954308849263, 0.3554365147327528, 0.0258257478600108, 0.32962822778215417, 0.0875418578940552, 0.0390323570924053, -0.035152329535353494, 0.08618879576787612, 0.0006335113213809077, -0.16395385464327478, -0.0069011600821689825, 0.27125850960958836, -0.05248908367858073, 0.17188311409919935, -0.4037335830047553, -0.22789744250097332, 0.1011148651460792, 0.14694693574389486, 0.17066501357476227, -0.06713035547575198, -0.31759590883522704, -0.03327691698647212, -0.19125533477148735, -0.23754087404001417, -0.08793135414029969, 0.037736966615802676, 0.009083037683943309, -0.19491130060537956, 0.11606792566436884, 0.06355506516195229, 0.08930701664026264, -0.11836507704060222, -0.12447404682901579, -0.05342002347691071, 0.0342548756310608, -0.015383417349915171, 0.08929997328587613, 0.15207449263716413, -0.16003239813239076, -0.051627630771267724, 0.3271419584269224, -0.10471156642155578, -0.09575106833417099, 0.20034131729639634, -0.23982702603783299, -0.08627916213807238, 0.18122670749543496, 0.1467858555856659, 0.046431275387836056, -0.07894534911949534, 0.038396088854845634, -0.0457543317414008, 0.1693559156271878, 0.036709371826958, 0.017223292749191006, 0.3111206020315199, 0.19091314803551732, 0.07876930211340402, 0.15508264909446953, -0.1335940592878953, -0.09589324943548025, -0.2397949046043809, -0.1482529157534415, -0.20093187681117722, 0.018745673446764432, -0.0064094455309143174, -0.1490675304409896, 0.36162121939949343, 0.13365775551506506, 0.2171778830450548, -0.06134080914929401, 0.27256182007231683, 0.11048484942672752, 0.008177336906407809, 0.0802825388686764, 0.2347762066394437, 0.13988920793933576, 0.1251890745709737, -0.3168984241052639, 0.04725365286563025, -0.005628509909932523] |
711.4391 | Magnetically Arrested Disks and Origin of Poynting Jets: Numerical Study | The dynamics and structure of accretion disks, which accumulate the vertical
magnetic field in the centers, are investigated using two- and
three-dimensional MHD simulations. The central field can be built up to the
equipartition level and disrupts a nearly axisymmetric outer accretion disk
inside a magnetospheric radius, forming a magnetically arrested disk (MAD). In
the MAD, the mass accretes in a form of irregular dense spiral streams and the
vertical field, split into separate bundles, penetrates through the disk plane
in low-density magnetic islands. The accreting mass, when spiraling inward,
drags the field and twists it around the axis of rotation, resulting in
collimated Poynting jets in the polar directions. These jets are powered by the
accretion flow with the efficiency up to ~1.5% (in units \dot{M}c^2). The
spiral flow pattern in the MAD is dominated by modes with low azimuthal
wavenumbers m~1-5 and can be a source of quasi-periodic oscillations in the
outgoing radiation. The formation of MAD and Poynting jets can naturally
explain the observed changes of spectral states in Galactic black hole
binaries. Our study is focused on black hole accretion flows; however, the
results can also be applicable to accretion disks around nonrelativistic
objects, such as young stellar objects and stars in binary systems.
| astro-ph | the dynamics and structure of accretion disks which accumulate the vertical magnetic field in the centers are investigated using two and threedimensional mhd simulations the central field can be built up to the equipartition level and disrupts a nearly axisymmetric outer accretion disk inside a magnetospheric radius forming a magnetically arrested disk mad in the mad the mass accretes in a form of irregular dense spiral streams and the vertical field split into separate bundles penetrates through the disk plane in lowdensity magnetic islands the accreting mass when spiraling inward drags the field and twists it around the axis of rotation resulting in collimated poynting jets in the polar directions these jets are powered by the accretion flow with the efficiency up to 15 in units dotmc2 the spiral flow pattern in the mad is dominated by modes with low azimuthal wavenumbers m15 and can be a source of quasiperiodic oscillations in the outgoing radiation the formation of mad and poynting jets can naturally explain the observed changes of spectral states in galactic black hole binaries our study is focused on black hole accretion flows however the results can also be applicable to accretion disks around nonrelativistic objects such as young stellar objects and stars in binary systems | [['the', 'dynamics', 'and', 'structure', 'of', 'accretion', 'disks', 'which', 'accumulate', 'the', 'vertical', 'magnetic', 'field', 'in', 'the', 'centers', 'are', 'investigated', 'using', 'two', 'and', 'threedimensional', 'mhd', 'simulations', 'the', 'central', 'field', 'can', 'be', 'built', 'up', 'to', 'the', 'equipartition', 'level', 'and', 'disrupts', 'a', 'nearly', 'axisymmetric', 'outer', 'accretion', 'disk', 'inside', 'a', 'magnetospheric', 'radius', 'forming', 'a', 'magnetically', 'arrested', 'disk', 'mad', 'in', 'the', 'mad', 'the', 'mass', 'accretes', 'in', 'a', 'form', 'of', 'irregular', 'dense', 'spiral', 'streams', 'and', 'the', 'vertical', 'field', 'split', 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711.4392 | Integrated Harnack inequalities on Lie groups | We show that the logarithmic derivatives of the convolution heat kernels on a
uni-modular Lie group are exponentially integrable. This result is then used to
prove an "integrated" Harnack inequality for these heat kernels. It is shown
that this integrated Harnack inequality is equivalent to a version of Wang's
Harnack inequality. (A key feature of all of these inequalities is that they
are dimension independent.) Finally, we show these inequalities imply
quasi-invariance properties of heat kernel measures for two classes of infinite
dimensional "Lie" groups.
| math.DG math.PR | we show that the logarithmic derivatives of the convolution heat kernels on a unimodular lie group are exponentially integrable this result is then used to prove an integrated harnack inequality for these heat kernels it is shown that this integrated harnack inequality is equivalent to a version of wangs harnack inequality a key feature of all of these inequalities is that they are dimension independent finally we show these inequalities imply quasiinvariance properties of heat kernel measures for two classes of infinite dimensional lie groups | [['we', 'show', 'that', 'the', 'logarithmic', 'derivatives', 'of', 'the', 'convolution', 'heat', 'kernels', 'on', 'a', 'unimodular', 'lie', 'group', 'are', 'exponentially', 'integrable', 'this', 'result', 'is', 'then', 'used', 'to', 'prove', 'an', 'integrated', 'harnack', 'inequality', 'for', 'these', 'heat', 'kernels', 'it', 'is', 'shown', 'that', 'this', 'integrated', 'harnack', 'inequality', 'is', 'equivalent', 'to', 'a', 'version', 'of', 'wangs', 'harnack', 'inequality', 'a', 'key', 'feature', 'of', 'all', 'of', 'these', 'inequalities', 'is', 'that', 'they', 'are', 'dimension', 'independent', 'finally', 'we', 'show', 'these', 'inequalities', 'imply', 'quasiinvariance', 'properties', 'of', 'heat', 'kernel', 'measures', 'for', 'two', 'classes', 'of', 'infinite', 'dimensional', 'lie', 'groups']] | [-0.10231688414727722, 0.08150189251190408, -0.10458355011308894, 0.13042129626881113, -0.0887476068099632, -0.18905148369753186, -0.0423489079108763, 0.4056035175042994, -0.3458120264551219, -0.17520851494525286, 0.1726210979744792, -0.31371003851732787, -0.14399945997797392, 0.29475718543810003, -0.1042638345511959, 0.08218438914045692, 0.07158452460323186, 0.06597285064704278, -0.08370127985390889, -0.2909005556036444, 0.38941157383515557, -0.06991038659916204, 0.2314863622079001, 0.11323645691770841, 0.12770838750635877, -0.09288092270931776, -0.023710724300540546, -0.00694477550466271, -0.1710123333736727, 0.18763722408124628, 0.26878149244276917, 0.07182494890936034, 0.2673984190394335, -0.3513276475098203, -0.18999630164574174, 0.18919325799078626, 0.09045748055419502, 0.01729576982667341, -0.0372220849056783, -0.28319521140964593, 0.052337632941849094, -0.0938434816294295, -0.1706524357528371, -0.1114781425717999, 0.016450464703580914, 0.053359307611689846, -0.302400233695174, 0.14557984228081564, 0.15790128332069692, 0.013771410037160797, -0.08383660232100416, -0.08624752026106067, 0.0009322219856959931, 0.033812924001968524, -0.011744979407419177, -0.03140789037296439, 0.11508989782236954, -0.005000798301240566, -0.13371649940552957, 0.25164931659203243, -0.0620275172384401, -0.25002534709432545, 0.1424418859402923, -0.15010529854060972, -0.19902612079373178, 0.03802853421691586, 0.14980835377731744, 0.09978906555539545, -0.169478894123698, 0.13198708106270607, -0.1228152047514039, 0.09586748282479889, 0.08176735334974879, 0.05781909659614458, 0.038857954926788806, 0.05431214690975407, 0.17634780916440138, 0.17858576040495844, 0.021798292232458206, -0.06560414649874849, -0.41115289067520816, -0.27390478234738114, -0.1980230145252255, 0.15160017559195266, -0.20607954899177833, -0.18554815042811884, 0.30842644620467635, 0.11599532037850141, 0.13591654399300324, 0.1391674226259484, 0.1732094328631373, 0.19796076069640764, 0.13712175680762706, 0.1486299055902397, 0.17547386908794152, 0.23972898972604204, 0.063339632251026, -0.12603657214957126, 0.0057622794719303354, 0.21152429869946313] |
711.4393 | Lattice points in Minkowski sums | Fakhruddin has proved that for two lattice polygons P and Q any lattice point
in their Minkowski sum can be written as a sum of a lattice point in P and one
in Q, provided P is smooth and the normal fan of P is a subdivision of the
normal fan of Q. We give a shorter combinatorial proof of this fact that does
not need the smoothness assumption on P.
| math.CO math.AC math.AG | fakhruddin has proved that for two lattice polygons p and q any lattice point in their minkowski sum can be written as a sum of a lattice point in p and one in q provided p is smooth and the normal fan of p is a subdivision of the normal fan of q we give a shorter combinatorial proof of this fact that does not need the smoothness assumption on p | [['fakhruddin', 'has', 'proved', 'that', 'for', 'two', 'lattice', 'polygons', 'p', 'and', 'q', 'any', 'lattice', 'point', 'in', 'their', 'minkowski', 'sum', 'can', 'be', 'written', 'as', 'a', 'sum', 'of', 'a', 'lattice', 'point', 'in', 'p', 'and', 'one', 'in', 'q', 'provided', 'p', 'is', 'smooth', 'and', 'the', 'normal', 'fan', 'of', 'p', 'is', 'a', 'subdivision', 'of', 'the', 'normal', 'fan', 'of', 'q', 'we', 'give', 'a', 'shorter', 'combinatorial', 'proof', 'of', 'this', 'fact', 'that', 'does', 'not', 'need', 'the', 'smoothness', 'assumption', 'on', 'p']] | [-0.18038673247669784, 0.12612533758223896, -0.16504500549234136, 0.03186800048365192, -0.09149333246996705, -0.1520408684204162, 0.08882145716113524, 0.3373204050454455, -0.29630328512842385, -0.19576320104615788, 0.05984857278502166, -0.23293692972773397, -0.12481307684325836, 0.1605559189239858, -0.10270554717944962, 0.007484303236427441, 0.026333308699999898, 0.07571707623945155, -0.07328661554318797, -0.31135444402117546, 0.31001528003580975, -0.07900141218257412, 0.23191946176943226, 0.06746933878150205, 0.05223134230874794, 0.05816855475070401, -0.00010745182738337718, 0.03560721175581164, -0.14760005435497256, 0.09432484717829756, 0.23607699323812842, 0.12042108518530575, 0.23494909730949767, -0.35667703607657425, -0.1609692073387789, 0.17953598428465112, 0.15179276295189917, 0.016338082482959603, 0.009151828257222725, -0.14289751492807984, 0.16059305620524036, -0.1028060447949339, -0.16458986560538622, -0.04688112505934608, 0.09327506439261873, 0.02987055835300978, -0.32459411101783037, -0.001295242917684602, 0.19765297645493082, 0.110634441120209, -0.005112358149219776, -0.19650337265305956, -0.04455462485735475, 0.03418975310321425, -0.002688679653941326, 0.12018186589178274, 0.031679219024380485, -0.08494508350071248, -0.1306683899651111, 0.4316557421230934, -0.004044151117264385, -0.24259311699269104, 0.11871184697735425, -0.2176657304902312, -0.07764889919002291, 0.15303197861189993, 0.09964786031821245, 0.12347972400906221, -0.04998141886587714, 0.17561505507746658, -0.1206166908328592, 0.09038464570644272, 0.13701215072889145, -0.041880031850871066, 0.14530111972609877, 0.06718870319268654, 0.0988255552160488, 0.11608777639724996, -0.04082189978782455, -0.014472837061424491, -0.3997225392032677, -0.15459732940210633, -0.24477644736917925, 0.15511963876234006, -0.11083020271120993, -0.19090380262531026, 0.31239597541345676, 0.0020635954012543384, 0.21645541058551573, 0.023479879020490278, 0.2211713728193246, 0.09255225508978826, 0.02864798055109109, 0.061525544118870734, 0.1542001178579956, 0.10190118474125022, 0.013483260200739327, -0.14776298554915882, 0.04315505450276632, 0.14958597667856324] |
711.4394 | A note on a degree sum condition for long cycles in graphs | We conjecture that a 2-connected graph $G$ of order $n$, in which
$d(x)+d(y)\geq n-k$ for every pair of non-adjacent vertices $x$ and $y$,
contains a cycle of length $n-k$ ($k<n/2$), unless $G$ is bipartite and $n-k$
is odd. This generalizes to long cycles a well-known degree sum condition for
hamiltonicity of Ore. The conjecture is shown to hold for $k=1$.
| math.CO | we conjecture that a 2connected graph g of order n in which dxdygeq nk for every pair of nonadjacent vertices x and y contains a cycle of length nk kn2 unless g is bipartite and nk is odd this generalizes to long cycles a wellknown degree sum condition for hamiltonicity of ore the conjecture is shown to hold for k1 | [['we', 'conjecture', 'that', 'a', '2connected', 'graph', 'g', 'of', 'order', 'n', 'in', 'which', 'dxdygeq', 'nk', 'for', 'every', 'pair', 'of', 'nonadjacent', 'vertices', 'x', 'and', 'y', 'contains', 'a', 'cycle', 'of', 'length', 'nk', 'kn2', 'unless', 'g', 'is', 'bipartite', 'and', 'nk', 'is', 'odd', 'this', 'generalizes', 'to', 'long', 'cycles', 'a', 'wellknown', 'degree', 'sum', 'condition', 'for', 'hamiltonicity', 'of', 'ore', 'the', 'conjecture', 'is', 'shown', 'to', 'hold', 'for', 'k1']] | [-0.3113428667168288, 0.16511823907785583, -0.030785317641372482, 0.02779523223095263, -0.031492756559358286, -0.26854401104307424, 0.01211633994244039, 0.3518406366929412, -0.24541759707499294, -0.2790613886124144, 0.015362267070061837, -0.31241821706450235, -0.11833615844564822, 0.07547017883819838, -0.0985539433080703, -0.032734322708953795, 0.11299145508091897, 0.15545216049843777, 0.04294049268355593, -0.3858699988830873, 0.226563240106528, -0.08122352703164021, 0.10923337541365376, 0.13289401275105775, 0.1249197471809263, 0.09180969955244413, 0.08084571277722716, 0.03909073456500967, -0.1940393085170702, 0.036600103105107945, 0.2846094991546124, 0.16666969911505777, 0.20863940819787483, -0.32103480018898456, -0.15480848947384704, 0.27823231912528473, 0.10881355075786511, 0.009778348684388522, 0.09855430807607869, -0.09798468110772471, 0.19331927924261738, -0.07598722080607938, -0.16461528808188935, 0.04905641938773139, 0.2390380055177957, -0.03502798605089386, -0.37388702618579067, 0.0011589055551060785, 0.1926837750400106, 0.05644680322147906, 0.12359200339221085, -0.20246383720077574, -0.08260482164720694, 0.07080540875128159, -0.07074095964975034, 0.124677697897035, -0.05262582697226511, -0.05051710104986948, -0.1292732674938937, 0.3529868321803709, -0.045088701549684626, -0.1107332124762858, 0.06038610882727274, -0.1560886655934155, -0.21953339781612158, 0.1444831790945803, 0.02334250098792836, 0.18684953319995354, -0.04154804361363252, 0.1774454929380833, -0.17720155349622171, 0.12928861022616425, 0.20666046648596723, 0.011681675422005355, 0.0924451113678515, 0.12328931398224086, 0.19659607008409996, 0.18587009695669016, 0.05066597598294417, 0.05148499241719643, -0.3172300664455785, -0.13674635620166858, -0.2501346099306829, 0.18582110865972937, -0.1637309863460056, -0.14329640910485372, 0.36477379307616503, 0.06476512965746224, 0.14735010540268073, 0.15297816383535973, 0.1802197981548185, 0.019486906693782658, 0.04062603002918574, 0.17309023130316442, 0.0444353764760308, 0.23350032140539648, -0.08570605531955759, -0.15471489270372937, 0.02002271809227144, 0.21539907814003528] |
711.4395 | Quantum transport and spin dynamics on shearless tori | We investigate for quantum dynamics in phase-space regions containing
``shearless tori''. We show that the properties of these peculiar classical
phase-space structures -- important to the dynamics of tokamaks -- may be
exploited for quantum information applications. In particular we show that
shearless tori permit the non-dispersive transmission of localized wavepackets.
The quantum many-body Hamiltonian of a Heisenberg ferromagnetic spin chain,
subjected to an oscillating magnetic field, can be reduced to a classical
one-body ``image'' dynamical system which is the well-studied Harper map. The
Harper map belongs to a class of Hamiltonian systems (non-twist maps) which
contain shearless tori. We show that a variant with sinusoidal time driving
``driven Harper model'' produces shearless tori which are especially suitable
for quantum state transfer. The behavior of the concurrence is investigated as
an example.
| quant-ph cond-mat.other | we investigate for quantum dynamics in phasespace regions containing shearless tori we show that the properties of these peculiar classical phasespace structures important to the dynamics of tokamaks may be exploited for quantum information applications in particular we show that shearless tori permit the nondispersive transmission of localized wavepackets the quantum manybody hamiltonian of a heisenberg ferromagnetic spin chain subjected to an oscillating magnetic field can be reduced to a classical onebody image dynamical system which is the wellstudied harper map the harper map belongs to a class of hamiltonian systems nontwist maps which contain shearless tori we show that a variant with sinusoidal time driving driven harper model produces shearless tori which are especially suitable for quantum state transfer the behavior of the concurrence is investigated as an example | [['we', 'investigate', 'for', 'quantum', 'dynamics', 'in', 'phasespace', 'regions', 'containing', 'shearless', 'tori', 'we', 'show', 'that', 'the', 'properties', 'of', 'these', 'peculiar', 'classical', 'phasespace', 'structures', 'important', 'to', 'the', 'dynamics', 'of', 'tokamaks', 'may', 'be', 'exploited', 'for', 'quantum', 'information', 'applications', 'in', 'particular', 'we', 'show', 'that', 'shearless', 'tori', 'permit', 'the', 'nondispersive', 'transmission', 'of', 'localized', 'wavepackets', 'the', 'quantum', 'manybody', 'hamiltonian', 'of', 'a', 'heisenberg', 'ferromagnetic', 'spin', 'chain', 'subjected', 'to', 'an', 'oscillating', 'magnetic', 'field', 'can', 'be', 'reduced', 'to', 'a', 'classical', 'onebody', 'image', 'dynamical', 'system', 'which', 'is', 'the', 'wellstudied', 'harper', 'map', 'the', 'harper', 'map', 'belongs', 'to', 'a', 'class', 'of', 'hamiltonian', 'systems', 'nontwist', 'maps', 'which', 'contain', 'shearless', 'tori', 'we', 'show', 'that', 'a', 'variant', 'with', 'sinusoidal', 'time', 'driving', 'driven', 'harper', 'model', 'produces', 'shearless', 'tori', 'which', 'are', 'especially', 'suitable', 'for', 'quantum', 'state', 'transfer', 'the', 'behavior', 'of', 'the', 'concurrence', 'is', 'investigated', 'as', 'an', 'example']] | [-0.20114619669038802, 0.16418612973536187, -0.07546108932449268, 0.09363556260135598, -0.008857295479482183, -0.15990513630229264, -0.04969238160321346, 0.36699514386172477, -0.3066663746847413, -0.2176007224712521, 0.053947752413268275, -0.23496384736723624, -0.17245339643425092, 0.24579403369257657, -0.03411567213300329, 0.07423108387738467, 0.05370600050888383, 0.022056316124060407, -0.0636967796062191, -0.18174118251056195, 0.3225689161998721, -0.006170405128684182, 0.2222014352822533, -0.019829259619403343, 0.07544048672918087, 0.0020113056185297093, 0.10305173778190063, 0.013395347030690083, -0.15242314470406898, 0.07758207922944656, 0.21779354620151795, -0.0019628449987906674, 0.20049492862577048, -0.418679539887951, -0.26573135612998156, 0.09989729695237026, 0.1586008360860153, 0.16465398750285834, -0.048840873901588984, -0.31698141179692285, 0.01687980961914246, -0.1676162411727441, -0.1668814985728554, -0.14016656572751415, 0.0005991937386660048, 0.03226318038247812, -0.24178086116265218, 0.09685141692081323, 0.13061320839087084, 0.05741292862221599, -0.05166286056001599, 0.003868275722218711, -0.05007157696482654, 0.1187888264691887, -0.03272290554954312, 0.01928074656573769, 0.1623853957101416, -0.12997358774658865, -0.13627397891922066, 0.39351235118049843, -0.07072623330437076, -0.21010212862434297, 0.1835852281942677, -0.13618605487326232, -0.11975435200863732, 0.12673248887563554, 0.13344360097812918, 0.09243666958780243, -0.1296121302969718, 0.10977466745445362, -0.07782241814554884, 0.1750714410454608, 0.022262134234635876, 0.04975092282447104, 0.23199310150140753, 0.10065516595406314, 0.08610582161658945, 0.2054470711083223, -0.09714453263351551, -0.21489846656421344, -0.2421449191868305, -0.16052226481887583, -0.1780286349553185, 0.11575094158403003, -0.04413365533288855, -0.21514671311104813, 0.4251801335754303, 0.1377862477574406, 0.17355618853516017, -0.026788335059805272, 0.22545782689076777, 0.1559679175252453, 0.027613501042987293, 0.08303229344489339, 0.20092369174011626, 0.19155962808200946, 0.0615751915360586, -0.25501850012403265, -0.034436134120019585, 0.09206855550157622] |
711.4396 | The Cuntz semigroup of some spaces of dimension at most two | It is shown that the Cuntz semigroup of a space with dimension at most two,
and with second cohomology of its compact subsets equal to zero, is isomorphic
to the ordered semigroup of lower semicontinuous functions on the space with
values in the natural numbers with the infinity adjoined. This computation is
then used to obtain the Cuntz semigroup of all compact surfaces. A converse to
the first computation is also proven: if the Cuntz semigroup of a separable
C*-algebra is isomorphic to the lower semicontinuous functions on a topological
space with values in the extended natural numbers, then the C*-algebra is
commutative up to stability, and its spectrum satisfies the dimensional and
cohomological conditions mentioned above.
| math.OA | it is shown that the cuntz semigroup of a space with dimension at most two and with second cohomology of its compact subsets equal to zero is isomorphic to the ordered semigroup of lower semicontinuous functions on the space with values in the natural numbers with the infinity adjoined this computation is then used to obtain the cuntz semigroup of all compact surfaces a converse to the first computation is also proven if the cuntz semigroup of a separable calgebra is isomorphic to the lower semicontinuous functions on a topological space with values in the extended natural numbers then the calgebra is commutative up to stability and its spectrum satisfies the dimensional and cohomological conditions mentioned above | [['it', 'is', 'shown', 'that', 'the', 'cuntz', 'semigroup', 'of', 'a', 'space', 'with', 'dimension', 'at', 'most', 'two', 'and', 'with', 'second', 'cohomology', 'of', 'its', 'compact', 'subsets', 'equal', 'to', 'zero', 'is', 'isomorphic', 'to', 'the', 'ordered', 'semigroup', 'of', 'lower', 'semicontinuous', 'functions', 'on', 'the', 'space', 'with', 'values', 'in', 'the', 'natural', 'numbers', 'with', 'the', 'infinity', 'adjoined', 'this', 'computation', 'is', 'then', 'used', 'to', 'obtain', 'the', 'cuntz', 'semigroup', 'of', 'all', 'compact', 'surfaces', 'a', 'converse', 'to', 'the', 'first', 'computation', 'is', 'also', 'proven', 'if', 'the', 'cuntz', 'semigroup', 'of', 'a', 'separable', 'calgebra', 'is', 'isomorphic', 'to', 'the', 'lower', 'semicontinuous', 'functions', 'on', 'a', 'topological', 'space', 'with', 'values', 'in', 'the', 'extended', 'natural', 'numbers', 'then', 'the', 'calgebra', 'is', 'commutative', 'up', 'to', 'stability', 'and', 'its', 'spectrum', 'satisfies', 'the', 'dimensional', 'and', 'cohomological', 'conditions', 'mentioned', 'above']] | [-0.09137246278452918, 0.15557024984532952, -0.08413551797549057, 0.0701957682812284, -0.10304005197886154, -0.10422140003269555, 0.011169943472959546, 0.34588045871848416, -0.35365005472424227, -0.1612383909523487, 0.1440322323499295, -0.2772594064107945, -0.07858041011624867, 0.2145529932095709, -0.13090951624475658, 0.03487412739991863, 0.0240155249221139, 0.15747985576526222, -0.11908040695393887, -0.27097157987121206, 0.42298373287846136, 0.0006598136188764857, 0.209535338728824, 0.050164327753755525, 0.09878130198474257, -0.07192219476589662, 0.034784308220777244, -0.022702561692149643, -0.15885820937310355, 0.1299646025698664, 0.28300177186536485, 0.08867016147511701, 0.24443171557206184, -0.35490203701341766, -0.12517482306585354, 0.2014672392899664, 0.07582655508055264, -0.0394267006817027, 0.0016609582568431257, -0.28185591594371784, 0.14746707884801757, -0.16965505925731528, -0.1067452229734542, -0.09947337987076522, 0.11006493235213889, -0.04226729806321554, -0.28462223534305126, -0.027444478405219637, 0.09756996587682994, 0.06508627900869673, -0.09311022273957348, -0.07171748239849494, -0.13496806541792092, 0.0868409755679532, -0.009401483378675567, 0.05832438810895651, 0.09264043288735244, -0.03367447563225422, -0.10903955405004896, 0.36207146793365097, -0.05489453769678998, -0.24514797454078993, 0.21260309249608436, -0.2467106031651935, -0.15681213138099664, 0.16314299680535388, 0.03294632634800723, 0.14460158350471503, -0.024761971333024338, 0.18857773343891177, -0.1166122535832672, 0.1166852929462225, 0.047889761308319546, 0.06403874022026475, 0.07950822494000706, 0.11737950224206488, 0.15731225771686205, 0.20016973450557035, 0.0687880147742028, -0.016823122878837533, -0.32983788090129185, -0.17890650602594876, -0.18749845466620296, 0.10731875603326047, -0.08628452146929812, -0.18314820900634052, 0.3715768330889698, 0.10287552751734072, 0.1894533117261962, 0.1238809363104594, 0.2705876360981701, 0.14692895414912674, 0.06395342735310969, 0.0990899411849996, 0.13533987639806208, 0.25730273326556397, -0.0052871816417473, -0.14391026567716478, -0.012351690696027035, 0.22920205447281528] |
711.4397 | Critical Exponents and Particle Multiplicity Distributions in High
Energy Collisions | Data from the L3, Tasso, Opal and Delphi collaborations are analyzed in terms
of a statistical model of high energy collisions. The model contains a power
law critical exponent tau and Levy index alpha. These data are used to study
values of tau and alpha. The very high multiplicity events in L3, Opal and
Delphi are consistent with a model based on a Feynman-Wilson gas which has a
tail exponent tau=3/2 and alpha=1/2.
| nucl-th | data from the l3 tasso opal and delphi collaborations are analyzed in terms of a statistical model of high energy collisions the model contains a power law critical exponent tau and levy index alpha these data are used to study values of tau and alpha the very high multiplicity events in l3 opal and delphi are consistent with a model based on a feynmanwilson gas which has a tail exponent tau32 and alpha12 | [['data', 'from', 'the', 'l3', 'tasso', 'opal', 'and', 'delphi', 'collaborations', 'are', 'analyzed', 'in', 'terms', 'of', 'a', 'statistical', 'model', 'of', 'high', 'energy', 'collisions', 'the', 'model', 'contains', 'a', 'power', 'law', 'critical', 'exponent', 'tau', 'and', 'levy', 'index', 'alpha', 'these', 'data', 'are', 'used', 'to', 'study', 'values', 'of', 'tau', 'and', 'alpha', 'the', 'very', 'high', 'multiplicity', 'events', 'in', 'l3', 'opal', 'and', 'delphi', 'are', 'consistent', 'with', 'a', 'model', 'based', 'on', 'a', 'feynmanwilson', 'gas', 'which', 'has', 'a', 'tail', 'exponent', 'tau32', 'and', 'alpha12']] | [-0.07611307228297745, 0.16081501023775976, -0.12470969068171042, 0.10984643949713144, -0.002104580992535274, -0.17788678472990999, 0.030269942867259186, 0.3493506127140588, -0.19572447837951282, -0.33618008743764627, 0.08617116996740354, -0.39042273841591346, -0.02892788270643602, 0.19698569312135483, 0.025114593943322286, 0.14236907581269204, 0.05596807367530548, 0.02820419962517917, -0.000768856417077283, -0.1413386662542406, 0.2730022645943488, 0.12486176734091714, 0.22364246095013288, 0.038693777466606766, 0.036338891164632514, -0.04023854253723079, -0.08320763835864556, 0.006790957213120742, -0.18071894951733863, 0.09857817443399755, 0.16217978134389138, 0.04575679491972551, 0.18113227682705554, -0.31561231007799506, -0.15703389232253862, 0.11221569664000224, 0.08572424727673125, -0.04515682300067662, -0.04924900777566816, -0.251462041762554, 0.11800820633975996, -0.22201972163747996, -0.11914483592328098, -0.02901643135636631, 0.07889175161512361, 0.04769526440698731, -0.36946688331146205, 0.10527611588541833, 0.008205000673317246, 0.08135054294123417, -0.07334680158722524, -0.1656032241234142, -0.06118747633364466, 0.058909588752107486, 0.06603325601544283, 0.044303756373766295, 0.08301964578762029, -0.1249483962290267, -0.12290681747253984, 0.3605767696474989, -0.06412066527021427, -0.13189419723736742, 0.18367693413165398, -0.20833877239945447, -0.14783431480949125, 0.14795965597861344, 0.1878812794909916, 0.028961019741372083, -0.14491490645903266, 0.14565482629162338, -0.008253498604365936, 0.21551982308220533, 0.052897848661005914, -0.009993675837500228, 0.13192811898059315, 0.16731405835081306, -0.015985454083420336, 0.09704555379640725, -0.12808518534358074, -0.05532954072502131, -0.33504719823961043, -0.10917960566520277, -0.18048015278246668, 0.009580878540873528, -0.12711197137084834, -0.10774035032631622, 0.3425867403340008, 0.054203427668350436, 0.28857199440244585, 0.050060624827488534, 0.22570009445512873, 0.16750399895115858, 0.02855603724795704, 0.09383051451166263, 0.21391952600485334, 0.07997995131235155, 0.16638174299280056, -0.15728630222858758, 0.05227833611166312, 0.057674285690558866] |
711.4398 | The forcing partial order on a family of braids forced by pseudo-Anosov
3-braids | Li-York theorem tells us that a period 3 orbit for a continuous map of the
interval into itself implies the existence of a periodic orbit of every period.
This paper concerns an analogue of the theorem for homeomorphisms of the
2-dimensional disk. In this case a periodic orbit is specified by a braid type
and on the set of all braid types Boyland's dynamical partial order can be
defined. We describe the partial order on a family of braids and show that a
period 3 orbit of pseudo-Anosov braid type implies the Smale-horseshoe map
which is a factor possessing complicated chaotic dynamics.
| math.GT math.DS | liyork theorem tells us that a period 3 orbit for a continuous map of the interval into itself implies the existence of a periodic orbit of every period this paper concerns an analogue of the theorem for homeomorphisms of the 2dimensional disk in this case a periodic orbit is specified by a braid type and on the set of all braid types boylands dynamical partial order can be defined we describe the partial order on a family of braids and show that a period 3 orbit of pseudoanosov braid type implies the smalehorseshoe map which is a factor possessing complicated chaotic dynamics | [['liyork', 'theorem', 'tells', 'us', 'that', 'a', 'period', '3', 'orbit', 'for', 'a', 'continuous', 'map', 'of', 'the', 'interval', 'into', 'itself', 'implies', 'the', 'existence', 'of', 'a', 'periodic', 'orbit', 'of', 'every', 'period', 'this', 'paper', 'concerns', 'an', 'analogue', 'of', 'the', 'theorem', 'for', 'homeomorphisms', 'of', 'the', '2dimensional', 'disk', 'in', 'this', 'case', 'a', 'periodic', 'orbit', 'is', 'specified', 'by', 'a', 'braid', 'type', 'and', 'on', 'the', 'set', 'of', 'all', 'braid', 'types', 'boylands', 'dynamical', 'partial', 'order', 'can', 'be', 'defined', 'we', 'describe', 'the', 'partial', 'order', 'on', 'a', 'family', 'of', 'braids', 'and', 'show', 'that', 'a', 'period', '3', 'orbit', 'of', 'pseudoanosov', 'braid', 'type', 'implies', 'the', 'smalehorseshoe', 'map', 'which', 'is', 'a', 'factor', 'possessing', 'complicated', 'chaotic', 'dynamics']] | [-0.227702001798898, 0.11746165147647844, -0.10499684383627027, 0.04783298033289611, -0.06214953533373773, -0.08612451637280173, 0.053302405044669286, 0.28787647327408195, -0.3085369526594877, -0.22564581078477203, 0.1298809915909078, -0.2149815915338695, -0.15388577941921538, 0.2491442020982504, -0.12966299006715418, 0.004208057224750519, 0.09331192901358008, 0.09070160641102121, -0.10079627529485151, -0.21796949291601778, 0.36194707930088044, -0.07670681966468691, 0.144545536627993, -0.013267566589638591, 0.1250706453761086, 0.032058004620485005, -0.0030682497328962197, 0.0027771313302218915, -0.15323037936890616, 0.11128740227781236, 0.18656865481752902, 0.0649809636361897, 0.21695538062602282, -0.3391247891294188, -0.1781112551689148, 0.15124176943674683, 0.09689748114906252, 0.05085423431475647, -0.0011224280507303773, -0.27208894410869106, 0.10185453267768026, -0.19976773631758987, -0.22888868242502214, -0.007863144979346544, 0.10480402214452625, -0.009591090502217412, -0.26413866156712174, 0.02317145686596632, 0.19342342600546544, 0.10925043990369886, -0.05278794540092349, -0.00646775599103421, -0.043789812750183045, 0.14268590905703604, 0.007308239489793778, 0.06274856200907379, 0.08314964079705532, -0.02329123376403004, -0.12352381733246148, 0.3869949211477069, -0.0815396156173665, -0.2030848870240152, 0.1582216035714373, -0.1689854360697791, -0.17004102677106858, 0.16719984971918167, 0.13373769243247807, 0.1041551021905616, -0.08740936883725225, 0.1354743796575349, -0.151767862373963, 0.21615521112456917, 0.1211898934072815, -0.020452823510859162, 0.23121665876358746, 0.10968410456553102, 0.15282835291465743, 0.1425775811530184, -0.04654345527756959, -0.06200484648346901, -0.2929446781985462, -0.20436039801687003, -0.10078895798360463, 0.13850643984973432, -0.07780894045106834, -0.20255615590140225, 0.44999369379132986, 0.04756178919691592, 0.18256184902973474, 0.07916253132396378, 0.1814487764550722, 0.10749765118482174, 0.02530931263565435, 0.06739475827664138, 0.13960814180318265, 0.14118623580550774, 0.005676512680947781, -0.18576992761343716, 0.03187387383542955, 0.19373380069620907] |
711.4399 | Determining the relative evolutionary stages of very young massive star
formation regions | We have recently completed an observing program with the Australia Telescope
Compact Array towards massive star formation regions traced by 6.7 GHz methanol
maser emission. We found the molecular cores could be separated into groups
based on their association with/without methanol maser and 24 GHz continuum
emission. Analysis of the molecular and ionised gas properties suggested the
cores within the groups may be at different evolutionary stages. In this
contribution we derive the column densities and temperatures of the cores from
the NH3 emission and investigate if this can be used as an indicator of the
relative evolutionary stages of cores in the sample.
The majority of cores are well fit using single-temperature large velocity
gradient models, and exhibit a range of temperatures from ~10 K to >200 K.
Under the simple but reasonable assumption that molecular gas in the cores will
heat up and become less quiescent with age due to feedback from the powering
source(s), the molecular gas kinetic temperature combined with information of
the core kinematics seems a promising probe of relative core age in the
earliest evolutionary stages of massive star formation.
| astro-ph | we have recently completed an observing program with the australia telescope compact array towards massive star formation regions traced by 67 ghz methanol maser emission we found the molecular cores could be separated into groups based on their association withwithout methanol maser and 24 ghz continuum emission analysis of the molecular and ionised gas properties suggested the cores within the groups may be at different evolutionary stages in this contribution we derive the column densities and temperatures of the cores from the nh3 emission and investigate if this can be used as an indicator of the relative evolutionary stages of cores in the sample the majority of cores are well fit using singletemperature large velocity gradient models and exhibit a range of temperatures from 10 k to 200 k under the simple but reasonable assumption that molecular gas in the cores will heat up and become less quiescent with age due to feedback from the powering sources the molecular gas kinetic temperature combined with information of the core kinematics seems a promising probe of relative core age in the earliest evolutionary stages of massive star formation | [['we', 'have', 'recently', 'completed', 'an', 'observing', 'program', 'with', 'the', 'australia', 'telescope', 'compact', 'array', 'towards', 'massive', 'star', 'formation', 'regions', 'traced', 'by', '67', 'ghz', 'methanol', 'maser', 'emission', 'we', 'found', 'the', 'molecular', 'cores', 'could', 'be', 'separated', 'into', 'groups', 'based', 'on', 'their', 'association', 'withwithout', 'methanol', 'maser', 'and', '24', 'ghz', 'continuum', 'emission', 'analysis', 'of', 'the', 'molecular', 'and', 'ionised', 'gas', 'properties', 'suggested', 'the', 'cores', 'within', 'the', 'groups', 'may', 'be', 'at', 'different', 'evolutionary', 'stages', 'in', 'this', 'contribution', 'we', 'derive', 'the', 'column', 'densities', 'and', 'temperatures', 'of', 'the', 'cores', 'from', 'the', 'nh3', 'emission', 'and', 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711.44 | There is a Van Douwen MAD family | We prove in ZFC that there is a MAD family of functions in omega^omega which
is also maximal with respect to infinite partial functions. This solves a 20
year old question of Van Douwen. We also strengthen a result of J. Steprans
stating that strongly MAD families of functions cannot be analytic. We show
that analytic MAD families of functions, if they exist, must satisfy some
strong constraints.
| math.LO | we prove in zfc that there is a mad family of functions in omegaomega which is also maximal with respect to infinite partial functions this solves a 20 year old question of van douwen we also strengthen a result of j steprans stating that strongly mad families of functions cannot be analytic we show that analytic mad families of functions if they exist must satisfy some strong constraints | [['we', 'prove', 'in', 'zfc', 'that', 'there', 'is', 'a', 'mad', 'family', 'of', 'functions', 'in', 'omegaomega', 'which', 'is', 'also', 'maximal', 'with', 'respect', 'to', 'infinite', 'partial', 'functions', 'this', 'solves', 'a', '20', 'year', 'old', 'question', 'of', 'van', 'douwen', 'we', 'also', 'strengthen', 'a', 'result', 'of', 'j', 'steprans', 'stating', 'that', 'strongly', 'mad', 'families', 'of', 'functions', 'can', 'not', 'be', 'analytic', 'we', 'show', 'that', 'analytic', 'mad', 'families', 'of', 'functions', 'if', 'they', 'exist', 'must', 'satisfy', 'some', 'strong', 'constraints']] | [-0.1453402968312519, 0.1689871189224979, -0.11817047812139103, 0.11547366948967017, -0.10641181911679282, -0.12200008130942781, 0.028245088900776878, 0.3520397183255873, -0.2763216565430596, -0.2115001345864848, 0.1163111018806534, -0.2915849129996681, -0.1624126100939685, 0.2521711409739826, -0.14151033857648354, 0.03307871687887372, 0.07283715250483458, -0.012627832729882304, -0.0844639901432843, -0.3004436698452016, 0.3595545416481901, -0.0844237802185766, 0.14706224047762773, 0.10847178341793841, 0.11055976883474522, -0.032253233540425266, 0.029416089337589085, 0.06682562560814878, -0.20829830642448371, 0.08106572935492665, 0.2841029014384401, 0.18515570705716053, 0.30123046785593033, -0.32449415104760637, -0.1476233102772655, 0.18308117424907244, 0.08742372892996081, 0.06103663654505289, -0.03566338080386429, -0.16638116251029397, 0.16013633928167215, -0.20389990707643438, -0.19161475451150234, -0.08177161689145841, 0.04120076814855354, 0.08471923849656773, -0.3069718528903373, 0.04775008430242188, 0.17568610287338926, 0.04863892603949036, -0.06517207301964147, -0.08451650617644191, -0.03683332555616895, 0.04031361180587091, 0.02348154558516715, 0.07550431709682597, 0.000397938533105712, -0.06487387094471225, -0.11385261753837214, 0.29511098567298544, -0.08464587795669617, -0.20696811364504739, 0.19233148766384608, -0.20584050294997144, -0.19420656765662675, 0.059243666959683534, 0.06444824212635665, 0.11937404102713302, -0.09419741659708646, 0.1457658523771291, -0.20752563640691232, 0.20079554120699564, 0.11793328088748714, 0.024736664561635775, 0.15463770680345487, 0.016673293828532314, 0.12862260862375083, 0.1443423056229274, 0.058241795991425926, -0.06926623618473178, -0.32471218254869344, -0.12353488487070022, -0.11195108822573895, 0.09531952488338204, -0.04681990052905757, -0.2137361956031426, 0.33310135570692195, 0.09370010880672414, 0.18525662537718166, 0.08704155514968316, 0.17124876743385, 0.12209610404797654, 0.08102799532671402, 0.13778811506927013, 0.24059824442593852, 0.10539566124856904, -0.04356951385304548, -0.12051703734239023, 0.049681852104317775, 0.09800300838601222] |
711.4401 | Sheaves as modules | We revisit sheaves on locales by placing them in the context of the theory of
quantale modules. The local homeomorphisms $p:X\to B$ are identified with the
Hilbert $B$-modules that are equipped with a natural notion of basis. The
homomorphisms of these modules are necessarily adjointable, and the resulting
self-dual category yields a description of the equivalence between local
homeomorphisms and sheaves whereby morphisms of sheaves arise as the ``operator
adjoints'' of the maps of local homeomorphisms.
| math.CT math.GN math.RA | we revisit sheaves on locales by placing them in the context of the theory of quantale modules the local homeomorphisms pxto b are identified with the hilbert bmodules that are equipped with a natural notion of basis the homomorphisms of these modules are necessarily adjointable and the resulting selfdual category yields a description of the equivalence between local homeomorphisms and sheaves whereby morphisms of sheaves arise as the operator adjoints of the maps of local homeomorphisms | [['we', 'revisit', 'sheaves', 'on', 'locales', 'by', 'placing', 'them', 'in', 'the', 'context', 'of', 'the', 'theory', 'of', 'quantale', 'modules', 'the', 'local', 'homeomorphisms', 'pxto', 'b', 'are', 'identified', 'with', 'the', 'hilbert', 'bmodules', 'that', 'are', 'equipped', 'with', 'a', 'natural', 'notion', 'of', 'basis', 'the', 'homomorphisms', 'of', 'these', 'modules', 'are', 'necessarily', 'adjointable', 'and', 'the', 'resulting', 'selfdual', 'category', 'yields', 'a', 'description', 'of', 'the', 'equivalence', 'between', 'local', 'homeomorphisms', 'and', 'sheaves', 'whereby', 'morphisms', 'of', 'sheaves', 'arise', 'as', 'the', 'operator', 'adjoints', 'of', 'the', 'maps', 'of', 'local', 'homeomorphisms']] | [-0.20111651481496856, 0.0862318301836862, -0.054398536927213796, 0.08388502567418311, -0.043099104794428536, -0.12194462537177299, -0.0056282089070392475, 0.35528165339737344, -0.42347446051548776, -0.17865477274417094, 0.093352716426843, -0.2551159087666555, -0.10953370660641476, 0.16308267713573418, -0.19706888418448598, -0.04816283860954603, 0.053752609124211106, 0.06801632663088017, -0.11593916418802876, -0.22005513856512202, 0.5082549722436326, -0.0005907745247608737, 0.23248810645830081, 0.009096287423744798, 0.12427939683517539, -0.001883330984702824, -0.08098488743263788, -0.009372142217073002, -0.11601649867694314, 0.1859595517928124, 0.318171185833451, 0.0828636688743963, 0.18087923355970384, -0.41888453166833833, -0.09400597359298875, 0.20302536336116886, 0.05371480502531325, -0.0385116854143378, 0.0006420272708821454, -0.356244960033923, 0.06649728173291997, -0.16319895422968425, -0.05343211473480455, -0.10009055190388799, 0.04639536680310572, 0.08429652280603095, -0.2339517347649426, -0.022372527023483264, 0.13495109252337562, 0.18300002758195133, -0.14865342670389892, -0.016437612486218934, -0.15865744363920958, 0.11194047233776043, -0.04799031520164326, 0.04211059697339997, 0.1599603812761703, -0.0858245063573122, -0.13584933160363058, 0.37781687124975416, -0.07162782887998649, -0.24539037488437698, 0.18055002676862242, -0.14517090359923282, -0.12254250654338025, 0.06444596040895895, 0.009941179158264086, 0.15263725430582112, -0.030035593767503376, 0.23125543837331383, -0.18474738184656753, 0.04365480953435365, 0.08955548748398494, 0.11699824839046127, 0.163830639849613, 0.07658727407320648, 0.08050753910241551, 0.10927633206531602, 0.02381427813356583, -0.06580681236166704, -0.38836504401345, -0.16313770300659694, -0.011299737677051636, 0.10504301086889188, -0.0777015891412463, -0.18293972178607396, 0.41657323929432194, 0.06610137522894595, 0.2166810604425049, 0.16982392464323262, 0.19024114385492316, 0.02899037201821461, 0.10850348701397276, -0.010169936098942631, 0.17857785843386265, 0.2536956702732775, -0.08424803000066038, -0.0846726863988136, -0.03682517941649023, 0.2910236258513147] |
711.4402 | Viscoelasticity and primitive path analysis of entangled polymer
liquids: From f-actin to polyethylene | We combine computer simulations and scaling arguments to develop a unified
view of polymer entanglement based on the primitive path analysis (PPA) of the
microscopic topological state. Our results agree with experimentally measured
plateau moduli for three different polymer classes over a wide rangeof reduced
polymer densities: (i) semi-dilute theta solutions of synthetic polymers, (ii)
the corresponding dense melts above the glass transition or crystallization
temperature, and (iii) solutions of semi-flexible (bio)polymers such as f-actin
or suspensions of rodlike viruses. Together these systems cover the entire
range from loosely to tightly entangled polymers. In particular, we argue that
the primitive path analysis renormalizes a loosely to a tightly entangled
system and provide a new explanation of the successful Lin-Noolandi packing
conjecture for polymer melts.
| cond-mat.soft | we combine computer simulations and scaling arguments to develop a unified view of polymer entanglement based on the primitive path analysis ppa of the microscopic topological state our results agree with experimentally measured plateau moduli for three different polymer classes over a wide rangeof reduced polymer densities i semidilute theta solutions of synthetic polymers ii the corresponding dense melts above the glass transition or crystallization temperature and iii solutions of semiflexible biopolymers such as factin or suspensions of rodlike viruses together these systems cover the entire range from loosely to tightly entangled polymers in particular we argue that the primitive path analysis renormalizes a loosely to a tightly entangled system and provide a new explanation of the successful linnoolandi packing conjecture for polymer melts | [['we', 'combine', 'computer', 'simulations', 'and', 'scaling', 'arguments', 'to', 'develop', 'a', 'unified', 'view', 'of', 'polymer', 'entanglement', 'based', 'on', 'the', 'primitive', 'path', 'analysis', 'ppa', 'of', 'the', 'microscopic', 'topological', 'state', 'our', 'results', 'agree', 'with', 'experimentally', 'measured', 'plateau', 'moduli', 'for', 'three', 'different', 'polymer', 'classes', 'over', 'a', 'wide', 'rangeof', 'reduced', 'polymer', 'densities', 'i', 'semidilute', 'theta', 'solutions', 'of', 'synthetic', 'polymers', 'ii', 'the', 'corresponding', 'dense', 'melts', 'above', 'the', 'glass', 'transition', 'or', 'crystallization', 'temperature', 'and', 'iii', 'solutions', 'of', 'semiflexible', 'biopolymers', 'such', 'as', 'factin', 'or', 'suspensions', 'of', 'rodlike', 'viruses', 'together', 'these', 'systems', 'cover', 'the', 'entire', 'range', 'from', 'loosely', 'to', 'tightly', 'entangled', 'polymers', 'in', 'particular', 'we', 'argue', 'that', 'the', 'primitive', 'path', 'analysis', 'renormalizes', 'a', 'loosely', 'to', 'a', 'tightly', 'entangled', 'system', 'and', 'provide', 'a', 'new', 'explanation', 'of', 'the', 'successful', 'linnoolandi', 'packing', 'conjecture', 'for', 'polymer', 'melts']] | [-0.12451533097239426, 0.20728198732974648, -0.09582785302276922, 0.011055656548467328, -0.013364868486666532, -0.20177772680495973, 0.0173815966232634, 0.37657268238482905, -0.26447310622354026, -0.2346922226524988, 0.0632824211297404, -0.24992077346303362, -0.14965058585006713, 0.15100043690305387, 0.002631432159238907, 0.0915400042030655, 0.05394855428765696, -0.04172777056624372, -0.04507016598010344, -0.1858783378456643, 0.22884001920274535, -0.011135553047977021, 0.2884619822420302, 0.06992494741637932, 0.10240423908747244, 0.017245462450549982, 0.06950768456244688, 0.08524140238105396, -0.2642878214545385, 0.14292228874200802, 0.26402794323063866, 0.0610346914017115, 0.18028919413479685, -0.45190260243281477, -0.25542290849023364, 0.08679039486050301, 0.16217967232719796, 0.13991667019569728, -0.019533925425436836, -0.24191982685359287, 0.06300945911192923, -0.17047810365949742, -0.13954552208058169, -0.08467257544436477, 0.0463053380581932, 0.0964189894558465, -0.19733476040304684, 0.0838045534901092, 0.01982890852139194, 0.06902062719626749, -0.06930831934422728, -0.1103864331354223, -0.018257407439093976, 0.07362052201404098, 0.015913411535963904, 0.006131958776558215, 0.23684060795721215, -0.15999204863137642, -0.08571414439175583, 0.36697270635698664, -0.002353412547667862, -0.14281974598139402, 0.26628362560133284, -0.0977759069541744, -0.15247702053519058, 0.21084152332785708, 0.1261859291794206, 0.1308711612154348, -0.10543937362791574, -0.007578975033896715, -0.08930426556617022, 0.21458524524341108, 0.05081656720244982, 0.009213227889601706, 0.2562035174052027, 0.2155459999940816, 0.014036000858931268, 0.18978354412791335, -0.030802609620341023, -0.17951191057065563, -0.2508897640986643, -0.20906230736310122, -0.19374365755738537, 0.05614554876515061, -0.1416480650961424, -0.21171525402422078, 0.33890664267933884, 0.08231649050473801, 0.19021435072607376, 0.14519153675636978, 0.1867768676821753, -0.02632590819705568, 0.031023269622266047, 0.002756822609999141, 0.21151980881953275, 0.1594800057049963, 0.1106419659355182, -0.20730897830512954, 0.03768040605469561, 0.06084702914718111] |
711.4403 | On stable numerical differentiation | Based on a regularized Volterra equation, two different approaches for
numerical differentiation are considered. The first approach consists of
solving a regularized Volterra equation while the second approach is based on
solving a disretized version of the regularized Volterra equation. Numerical
experiments show that these methods are efficient and compete favorably with
the variational regularization method for stable calculating the derivatives of
noisy functions.
| math.NA | based on a regularized volterra equation two different approaches for numerical differentiation are considered the first approach consists of solving a regularized volterra equation while the second approach is based on solving a disretized version of the regularized volterra equation numerical experiments show that these methods are efficient and compete favorably with the variational regularization method for stable calculating the derivatives of noisy functions | [['based', 'on', 'a', 'regularized', 'volterra', 'equation', 'two', 'different', 'approaches', 'for', 'numerical', 'differentiation', 'are', 'considered', 'the', 'first', 'approach', 'consists', 'of', 'solving', 'a', 'regularized', 'volterra', 'equation', 'while', 'the', 'second', 'approach', 'is', 'based', 'on', 'solving', 'a', 'disretized', 'version', 'of', 'the', 'regularized', 'volterra', 'equation', 'numerical', 'experiments', 'show', 'that', 'these', 'methods', 'are', 'efficient', 'and', 'compete', 'favorably', 'with', 'the', 'variational', 'regularization', 'method', 'for', 'stable', 'calculating', 'the', 'derivatives', 'of', 'noisy', 'functions']] | [-0.07554145262295765, -0.01779830390735278, -0.07940634266872491, 0.08069216086906159, -0.1097303924283811, -0.17462087164647758, -0.04801862359061719, 0.3547454976166288, -0.28616043944503106, -0.22698807805067017, 0.16819796273632656, -0.3118271464629779, -0.22549772676494387, 0.2570765162152903, 0.01407326266746081, 0.12029518317135554, 0.13382240077332844, 0.011173516778009278, -0.16483173713398477, -0.26463156306029606, 0.35666256043173017, -0.03678693096079524, 0.2755905007795682, -0.011192697558611159, 0.221997458140351, -0.04678945720846218, -0.07764894418447973, 0.011961585117710961, -0.08379873298240238, 0.17667942373673357, 0.2090347707419405, 0.06640656341961215, 0.38974017023094115, -0.4360760318499709, -0.23633146677757538, 0.034274489301005524, 0.1258313064980838, 0.08657401808655805, -0.03638735926887464, -0.2853818319752694, 0.059808625359206447, -0.12254047517975171, -0.08901471660901157, -0.16471265778241176, -0.10091061954430881, 0.08488001689104185, -0.36301514092418885, 0.1576341598124672, -0.01433154877777847, -0.03600489898096947, -0.18017509287696273, -0.1786523549743588, 0.04593034762526966, 0.011470432252815318, 0.030378919283282898, -0.011815678291318436, 0.020318023742191375, -0.09827265608316613, -0.16248785177364, 0.3416368310147571, -0.10468924243653578, -0.3190896040686066, 0.16386361443068062, -0.006151131975154082, -0.13534141859660545, 0.13170056939420718, 0.1527145513082071, 0.2670554651376156, -0.18572258749710663, 0.058406903902770924, -0.01880474075201958, 0.10779376357557281, 0.022092539665570097, -0.04785127779616723, 0.0676853187263958, 0.22223417265045028, 0.08297764063472786, 0.1302937942423991, -0.03504976839388883, -0.20033255711730039, -0.2982740785690054, -0.13440702017396688, -0.22013493545634288, -0.03782030613353801, -0.09655008285416342, -0.1940052890558801, 0.36839489000184195, 0.16625052005318658, 0.11252241725072501, 0.10561671853065491, 0.3596670124975462, 0.24267523675151761, 0.016226767680592953, 0.05073803029806605, 0.1828041798952553, 0.1336375359327547, 0.057631548719539766, -0.26886956530876294, 0.04443736304529011, 0.24958977471327498] |
711.4404 | Absolutely Continuous Spectrum of a Polyharmonic Operator with a Limit
Periodic Potential in Dimension Two | We consider a polyharmonic operator $H=(-\Delta)^l+V(x)$ in dimension two
with $l\geq 6$, $l$ being an integer, and a limit-periodic potential $V(x)$. We
prove that the spectrum contains a semiaxis of absolutely continuous spectrum.
| math-ph math.MP | we consider a polyharmonic operator hdeltalvx in dimension two with lgeq 6 l being an integer and a limitperiodic potential vx we prove that the spectrum contains a semiaxis of absolutely continuous spectrum | [['we', 'consider', 'a', 'polyharmonic', 'operator', 'hdeltalvx', 'in', 'dimension', 'two', 'with', 'lgeq', '6', 'l', 'being', 'an', 'integer', 'and', 'a', 'limitperiodic', 'potential', 'vx', 'we', 'prove', 'that', 'the', 'spectrum', 'contains', 'a', 'semiaxis', 'of', 'absolutely', 'continuous', 'spectrum']] | [-0.235449164484938, 0.10656261215009374, -0.056757811160588804, 0.03406205680221319, -0.058110143805882246, -0.23084829359625778, -0.06699148362333124, 0.40456983142278413, -0.2603195191107013, -0.11929161340054689, 0.12481412916289021, -0.39288322763009503, -0.14566101777282628, 0.11495284370682908, -0.04034400333396413, 0.058979019720220204, 0.002884099372860157, 0.11366276976398447, -0.047104577075294925, -0.1822587123041916, 0.38326848509975453, -0.15057171113563306, 0.042845950024484686, 0.05371502321213484, 0.080260778861967, 0.013695453335954384, 0.02157723532361684, -0.061124733381086226, -0.13115256305922451, 0.08505605866737438, 0.20737800306894563, 0.05181510644880208, 0.31184177123235934, -0.29017872820523655, -0.19833184075259574, 0.24776340603376878, 0.11418644626709548, -0.06779712650247595, -0.05541124483429347, -0.2195638490445686, 0.07702987427315251, -0.14784745973619548, -0.27451693472650013, -0.030153637272164677, 0.12394969458832886, -0.015727926779425506, -0.37541874103022344, 0.05843986582123872, 0.12395506899690989, 0.07354813910117655, -0.1418535557265083, -0.17145169678736816, -0.06482459793826847, 0.029612551340974416, -0.07014618575869297, 0.049369603624764946, 3.828144999164523e-05, -0.024750609838961143, -0.12592382784086195, 0.3284107312193197, -0.12017073073057515, -0.26202288035754906, 0.10379710804783937, -0.22414462306452068, -0.18844718082497516, 0.07347747697636034, 0.07853160242578297, 0.12105153043839065, -0.08192783492532643, 0.25292602090948174, -0.061211861077357425, 0.2163677413588051, 0.08922860133602764, 0.027265178025559042, 0.10656542551111091, 0.07497113035413239, 0.20513006579130888, 0.1667513738978993, -0.0312388365044061, 0.009859461704212608, -0.3375862310781623, -0.13133987718064224, -0.24231232736598363, 0.16035905133255504, -0.07246229234530774, -0.2206404437734322, 0.426208803599531, 0.03796146203284011, 0.26049446461327147, 0.11351498914882541, 0.21273588391980439, 0.1884312266201684, -0.026478073079929207, 0.1000285649841482, 0.08905854570030262, 0.10003059078007936, 0.07387383502315391, -0.14350013406665035, -0.16507248986145537, 0.1301768600771373] |
711.4405 | A Modification of the Sarkar-Wang Algorithm and an Analysis of its
Computational Complexity | The Sarkar-Wang algorithm computes the hat version of the Heegaard Floer
homology of a closed oriented three manifold. This paper analyzes the
computational complexity of the Sarkar-Wang algorithm; then the algorithm is
modified to obtain a better bound. Then the computational complexity of
calculating HFK hat from a Heegaard diagram by means of the modified
Sarkar-Wang algorithm is also analyzed. Under certain assumptions it is shown
that the modified Sarkar-Wang algorithm is faster than the
Manolescu-Ozsvath-Sarkar algorithm.
| math.GT | the sarkarwang algorithm computes the hat version of the heegaard floer homology of a closed oriented three manifold this paper analyzes the computational complexity of the sarkarwang algorithm then the algorithm is modified to obtain a better bound then the computational complexity of calculating hfk hat from a heegaard diagram by means of the modified sarkarwang algorithm is also analyzed under certain assumptions it is shown that the modified sarkarwang algorithm is faster than the manolescuozsvathsarkar algorithm | [['the', 'sarkarwang', 'algorithm', 'computes', 'the', 'hat', 'version', 'of', 'the', 'heegaard', 'floer', 'homology', 'of', 'a', 'closed', 'oriented', 'three', 'manifold', 'this', 'paper', 'analyzes', 'the', 'computational', 'complexity', 'of', 'the', 'sarkarwang', 'algorithm', 'then', 'the', 'algorithm', 'is', 'modified', 'to', 'obtain', 'a', 'better', 'bound', 'then', 'the', 'computational', 'complexity', 'of', 'calculating', 'hfk', 'hat', 'from', 'a', 'heegaard', 'diagram', 'by', 'means', 'of', 'the', 'modified', 'sarkarwang', 'algorithm', 'is', 'also', 'analyzed', 'under', 'certain', 'assumptions', 'it', 'is', 'shown', 'that', 'the', 'modified', 'sarkarwang', 'algorithm', 'is', 'faster', 'than', 'the', 'manolescuozsvathsarkar', 'algorithm']] | [-0.12334024027261062, 0.0301241319087383, -0.19409617360093093, 0.12453551211633328, -0.0796006583412619, -0.20075363970337143, 0.02569539740675521, 0.3389432599620992, -0.29266605607086893, -0.33936737328277605, 0.059323298524280914, -0.18930583694753678, -0.23003886798764334, 0.19636489215650058, -0.1380141189591469, 0.0355108928695125, 0.08843677052247681, 0.07522360647195264, -0.10924678285741002, -0.29447070307000295, 0.28425845344501893, 0.051248287095835336, 0.2301781457162609, 0.0534254150108226, 0.11830151182795434, -0.043663809082078696, 0.01311153033748269, 0.05106287084421829, -0.19946608826333095, 0.11885322275645051, 0.16560067558097408, 0.15070314206011398, 0.23625990179808518, -0.33393903748181303, -0.0675716950607143, 0.1187680866140382, 0.14792573640711212, 0.07914163293562045, 0.0054986515621605675, -0.2724573609517201, 0.12725187391410336, -0.13807240026806922, -0.08966189595306978, -0.052299069547045385, -0.04197346357824771, -0.01481945854519788, -0.24407218957908058, -0.02305384320061421, 0.05015765097433407, 0.03694635879640516, 0.001060387370862851, -0.13055095384755222, -0.003348122571447962, 0.051368079362682215, 0.02605558329531433, 0.1270577878887324, 0.11585258165570467, -0.07969126103776752, -0.11162871600122583, 0.3757923652270907, -0.07131309406376156, -0.23708556481563536, 0.07436483245539038, -0.03774084122606406, -0.17606580226167448, 0.20224483697185, 0.08291933665934362, 0.1460046603859059, -0.10360666668336642, 0.16885630193313486, -0.07417729092565806, 0.1391540940998024, 0.04226703148972439, -0.05495266213792523, 0.026189429575185243, 0.15626238678018317, 0.14424004691260817, 0.20709090856345078, -0.03409960730565026, -0.10583366931563146, -0.22212875883193, -0.22365522725081782, -0.21911404775394322, 0.02746489960822816, -0.15176851152117657, -0.17181662097688163, 0.4216077124797984, 0.09925875915704589, 0.10916647307672783, 0.16318335491967828, 0.37505764372058603, 0.10043432877251976, 0.01045203624342225, 0.17429593801008245, 0.13559832506028838, 0.12611023828350498, 0.007943228303797935, -0.23368273752337126, 0.048868488943155264, 0.24133581403446824] |
711.4406 | Optimization of Information Rate Upper and Lower Bounds for Channels
with Memory | We consider the problem of minimizing upper bounds and maximizing lower
bounds on information rates of stationary and ergodic discrete-time channels
with memory. The channels we consider can have a finite number of states, such
as partial response channels, or they can have an infinite state-space, such as
time-varying fading channels. We optimize recently-proposed information rate
bounds for such channels, which make use of auxiliary finite-state machine
channels (FSMCs). Our main contribution in this paper is to provide iterative
expectation-maximization (EM) type algorithms to optimize the parameters of the
auxiliary FSMC to tighten these bounds. We provide an explicit, iterative
algorithm that improves the upper bound at each iteration. We also provide an
effective method for iteratively optimizing the lower bound. To demonstrate the
effectiveness of our algorithms, we provide several examples of partial
response and fading channels, where the proposed optimization techniques
significantly tighten the initial upper and lower bounds. Finally, we compare
our results with an improved variation of the \emph{simplex} local optimization
algorithm, called \emph{Soblex}. This comparison shows that our proposed
algorithms are superior to the Soblex method, both in terms of robustness in
finding the tightest bounds and in computational efficiency. Interestingly,
from a channel coding/decoding perspective, optimizing the lower bound is
related to increasing the achievable mismatched information rate, i.e., the
information rate of a communication system where the decoder at the receiver is
matched to the auxiliary channel, and not to the original channel.
| cs.IT math.IT | we consider the problem of minimizing upper bounds and maximizing lower bounds on information rates of stationary and ergodic discretetime channels with memory the channels we consider can have a finite number of states such as partial response channels or they can have an infinite statespace such as timevarying fading channels we optimize recentlyproposed information rate bounds for such channels which make use of auxiliary finitestate machine channels fsmcs our main contribution in this paper is to provide iterative expectationmaximization em type algorithms to optimize the parameters of the auxiliary fsmc to tighten these bounds we provide an explicit iterative algorithm that improves the upper bound at each iteration we also provide an effective method for iteratively optimizing the lower bound to demonstrate the effectiveness of our algorithms we provide several examples of partial response and fading channels where the proposed optimization techniques significantly tighten the initial upper and lower bounds finally we compare our results with an improved variation of the emphsimplex local optimization algorithm called emphsoblex this comparison shows that our proposed algorithms are superior to the soblex method both in terms of robustness in finding the tightest bounds and in computational efficiency interestingly from a channel codingdecoding perspective optimizing the lower bound is related to increasing the achievable mismatched information rate ie the information rate of a communication system where the decoder at the receiver is matched to the auxiliary channel and not to the original channel | [['we', 'consider', 'the', 'problem', 'of', 'minimizing', 'upper', 'bounds', 'and', 'maximizing', 'lower', 'bounds', 'on', 'information', 'rates', 'of', 'stationary', 'and', 'ergodic', 'discretetime', 'channels', 'with', 'memory', 'the', 'channels', 'we', 'consider', 'can', 'have', 'a', 'finite', 'number', 'of', 'states', 'such', 'as', 'partial', 'response', 'channels', 'or', 'they', 'can', 'have', 'an', 'infinite', 'statespace', 'such', 'as', 'timevarying', 'fading', 'channels', 'we', 'optimize', 'recentlyproposed', 'information', 'rate', 'bounds', 'for', 'such', 'channels', 'which', 'make', 'use', 'of', 'auxiliary', 'finitestate', 'machine', 'channels', 'fsmcs', 'our', 'main', 'contribution', 'in', 'this', 'paper', 'is', 'to', 'provide', 'iterative', 'expectationmaximization', 'em', 'type', 'algorithms', 'to', 'optimize', 'the', 'parameters', 'of', 'the', 'auxiliary', 'fsmc', 'to', 'tighten', 'these', 'bounds', 'we', 'provide', 'an', 'explicit', 'iterative', 'algorithm', 'that', 'improves', 'the', 'upper', 'bound', 'at', 'each', 'iteration', 'we', 'also', 'provide', 'an', 'effective', 'method', 'for', 'iteratively', 'optimizing', 'the', 'lower', 'bound', 'to', 'demonstrate', 'the', 'effectiveness', 'of', 'our', 'algorithms', 'we', 'provide', 'several', 'examples', 'of', 'partial', 'response', 'and', 'fading', 'channels', 'where', 'the', 'proposed', 'optimization', 'techniques', 'significantly', 'tighten', 'the', 'initial', 'upper', 'and', 'lower', 'bounds', 'finally', 'we', 'compare', 'our', 'results', 'with', 'an', 'improved', 'variation', 'of', 'the', 'emphsimplex', 'local', 'optimization', 'algorithm', 'called', 'emphsoblex', 'this', 'comparison', 'shows', 'that', 'our', 'proposed', 'algorithms', 'are', 'superior', 'to', 'the', 'soblex', 'method', 'both', 'in', 'terms', 'of', 'robustness', 'in', 'finding', 'the', 'tightest', 'bounds', 'and', 'in', 'computational', 'efficiency', 'interestingly', 'from', 'a', 'channel', 'codingdecoding', 'perspective', 'optimizing', 'the', 'lower', 'bound', 'is', 'related', 'to', 'increasing', 'the', 'achievable', 'mismatched', 'information', 'rate', 'ie', 'the', 'information', 'rate', 'of', 'a', 'communication', 'system', 'where', 'the', 'decoder', 'at', 'the', 'receiver', 'is', 'matched', 'to', 'the', 'auxiliary', 'channel', 'and', 'not', 'to', 'the', 'original', 'channel']] | [-0.1356092755503968, 0.04838066389376518, -0.0683195644592717, 0.07615422180280979, -0.07249087900736759, -0.1866308252122312, 0.1225473355381054, 0.3642664277407376, -0.27370697514936015, -0.32283719259590293, 0.14743996685751978, -0.24381617178653175, -0.16727271231229296, 0.2253478097558446, -0.08807810280277524, 0.0959287848724406, 0.058351300151837905, 0.06104799571401884, -0.09697325419652264, -0.3144049729605673, 0.26354777057682666, 0.10973649583992702, 0.3008934018174619, 0.07243192548380245, 0.1020364437678648, 0.009206034876023055, -0.0264818159237559, -0.04615317964494103, -0.18026250437471106, 0.13213290800050664, 0.2571250905188484, 0.19395947014276363, 0.2508940628330903, -0.4019900017421897, -0.20613800816803793, 0.12622048432412183, 0.1764663277716545, 0.1258504578548008, -0.028374865159435582, -0.2622391901652914, 0.09813926518032177, -0.15494277333164833, -0.01218575476531238, -0.0345782053594002, -0.07126030243170853, 0.04236282029421018, 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0.16042842910298882, 0.22938445401977245, 0.131322635821055, 0.02793073375367477, -0.23127558907613802, 0.09376780759299544, 0.05366595577495762] |
711.4407 | Mapping Incidences | We show that any finite set S in a characteristic zero integral domain can be
mapped to the finite field of order p, for infinitely many primes p, preserving
all algebraic incidences in S. This can be seen as a generalization of the
well-known Freiman isomorphism lemma, and we give several combinatorial
applications (such as sum-product estimates).
| math.CO math.NT | we show that any finite set s in a characteristic zero integral domain can be mapped to the finite field of order p for infinitely many primes p preserving all algebraic incidences in s this can be seen as a generalization of the wellknown freiman isomorphism lemma and we give several combinatorial applications such as sumproduct estimates | [['we', 'show', 'that', 'any', 'finite', 'set', 's', 'in', 'a', 'characteristic', 'zero', 'integral', 'domain', 'can', 'be', 'mapped', 'to', 'the', 'finite', 'field', 'of', 'order', 'p', 'for', 'infinitely', 'many', 'primes', 'p', 'preserving', 'all', 'algebraic', 'incidences', 'in', 's', 'this', 'can', 'be', 'seen', 'as', 'a', 'generalization', 'of', 'the', 'wellknown', 'freiman', 'isomorphism', 'lemma', 'and', 'we', 'give', 'several', 'combinatorial', 'applications', 'such', 'as', 'sumproduct', 'estimates']] | [-0.18302386935408177, 0.07928426671577127, -0.12329157271928955, 0.11595401287756926, -0.09874947695061564, -0.14229382644815927, 0.0125383517884633, 0.3106541596679834, -0.3766477160286485, -0.254084646146287, 0.10568671996639878, -0.25772741376095565, -0.11614834755789816, 0.23694734433829262, -0.10515634737614739, 0.0405258886973586, 0.028612593094932668, 0.10092769161258873, -0.0528804398397864, -0.30036459505361945, 0.2712623019326936, -0.14745130639915405, 0.18275407661700196, 0.07991470329528838, 0.07835064477107503, 0.026777124590201613, 0.033437174720395556, 0.0835728530339047, -0.14442162701450065, 0.08755523936921045, 0.3841943628759238, 0.125540414432946, 0.2618480513297152, -0.38937612333776134, -0.19129072204068825, 0.2352863962582329, 0.19507239192822262, 0.07405705210801802, -0.025413807761332577, -0.22368294454849602, 0.16923664239839764, -0.16022762085981013, -0.14460108122837387, -0.10145873491439902, 0.0759914613087874, 0.06895559176541212, -0.28756563816415637, -0.04264272535383178, 0.16567168442793845, 0.12307873757258915, -0.0011752747211670666, -0.16456058603229426, 0.026066031033303915, 0.07560780572525241, 0.015552438305396783, 0.07258900348097086, 0.03125350263884716, -0.05915739331312739, -0.1513628251850605, 0.3583937976019163, -0.07004369116641515, -0.19393739721884853, 0.16302101193159296, -0.13655451637807123, -0.13237687991115085, 0.12659646551075734, 0.09940087834471151, 0.12795558083279615, -0.05027472688162928, 0.19268273625812868, -0.1492501312638061, 0.08501296711007231, 0.16014281183219792, 0.02694234782176321, 0.09624297315614265, 0.02950388121238926, 0.13633719901860641, 0.1518020470373398, -0.033945269882678986, 0.009781460710719489, -0.36838290463160855, -0.17351493870904833, -0.18741284051231974, 0.1537393305385322, -0.14408090139566634, -0.18593300722147288, 0.36875847580009385, 0.10421795522990196, 0.21808947024768904, 0.06189413327854453, 0.19699311622402124, 0.11998173811196211, 0.06556238118036274, 0.06518865821131489, 0.07298069408882343, 0.17370702640006416, -0.02612348413911828, -0.13105694570766532, 0.014374149464920424, 0.1545649872553584] |
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