id float64 706 1.8k | title stringlengths 1 343 | abstract stringlengths 6 6.09k | categories stringlengths 5 125 | processed_abstract stringlengths 2 5.96k | tokenized_abstract stringlengths 8 8.74k | centroid stringlengths 2.1k 2.17k |
|---|---|---|---|---|---|---|
712.1279 | Kleene, Rogers and Rice Theorems Revisited in C and in Bash | The recursion theorem in the weak form {e}(z)=x(e,z) (universal function not
needed) and in Rogers form {n}(z)={{x}(n)}(z) and Rice theorem are proved a
first time using programs in C, and a second time with scripts in Bash.
| cs.LO | the recursion theorem in the weak form ezxez universal function not needed and in rogers form nzxnz and rice theorem are proved a first time using programs in c and a second time with scripts in bash | [['the', 'recursion', 'theorem', 'in', 'the', 'weak', 'form', 'ezxez', 'universal', 'function', 'not', 'needed', 'and', 'in', 'rogers', 'form', 'nzxnz', 'and', 'rice', 'theorem', 'are', 'proved', 'a', 'first', 'time', 'using', 'programs', 'in', 'c', 'and', 'a', 'second', 'time', 'with', 'scripts', 'in', 'bash']] | [-0.11739200380896883, 0.03593972139060497, -0.13154570582721914, 0.10464917102030345, -0.05620613130075591, -0.1355593564520989, 0.0907977101259998, 0.295724513674421, -0.2553409374185971, -0.28457255690757716, 0.09864000012832029, -0.19768202251621655, -0.14898840109152453, 0.24546248715903077, -0.06702413393982819, 0.06729709643072315, 0.011152290353285415, 0.01516906273152147, -0.03510795177093574, -0.26821822034461157, 0.2678551445049899, -0.037036704857434544, 0.23313765991479157, 0.0821993923080819, 0.047604965764497006, 0.05137103745447738, -0.0765985008329153, -0.018364315373556955, -0.07807823617809585, 0.05934741513005325, 0.28309598191907365, 0.15770631882229022, 0.2797823851662023, -0.44210035417761123, -0.05125030452119453, 0.06611034204917295, 0.06411230993856276, 0.09132857651316693, -0.024550451205245086, -0.2682437210476824, 0.08305285722017289, -0.1619849096451487, -0.12700522065694844, -0.07449011432805232, 0.060099306436521664, 0.07276310516255242, -0.2705578307887273, 0.06670843118003436, 0.1351704019520964, 0.05774916692503861, -0.029304077768964428, -0.08088240463818823, -0.03767343730266605, 0.09182043213596834, 0.01787240696804864, 0.08119701080556427, -0.003763127965586526, -0.07675600621317114, -0.12063203086810452, 0.33227031848260336, -0.1384220181831292, -0.1957978721175875, 0.1338135580665299, -0.1557447678808655, -0.20318058208961573, 0.07527773778087327, 0.14101464021285728, 0.16432720188583647, -0.17231762728853417, 0.13895213699267644, -0.04936773910054139, 0.16249657507453646, 0.14871417048520275, -0.018125368388635772, 0.11044776532799006, 0.0848883074841329, -0.0345616202801466, 0.1719448852751936, 0.003462570479937962, -0.0524164719241006, -0.34132362391267507, -0.24520343507507017, -0.19343573484303697, 0.006248889045673422, -0.06366901130822952, -0.16845467734549727, 0.3089014143150832, 0.06738467296319349, 0.13511296723570143, 0.15854321920445988, 0.26705940440297127, 0.13758278103279217, 0.13770820585279062, 0.14506394634622016, 0.11889371563281331, 0.13583360142074524, 0.17717420756816865, -0.08757849041056553, 0.09186363445062723, 0.17464445946472032] |
712.128 | Neutrino Spectra and Uncertainties for MINOS | The MINOS experiment at Fermilab has released an updated result on muon
disappearance based upon 2.5 x 10^20 protons on target. The experiment utilizes
the intense source of muon neutrinos provided by the NuMI beam line. This note
summarizes the systematic uncertainties in the experiment's knowledge of the
flux and energy spectrum of the neutrinos from NuMI.
| hep-ex | the minos experiment at fermilab has released an updated result on muon disappearance based upon 25 x 1020 protons on target the experiment utilizes the intense source of muon neutrinos provided by the numi beam line this note summarizes the systematic uncertainties in the experiments knowledge of the flux and energy spectrum of the neutrinos from numi | [['the', 'minos', 'experiment', 'at', 'fermilab', 'has', 'released', 'an', 'updated', 'result', 'on', 'muon', 'disappearance', 'based', 'upon', '25', 'x', '1020', 'protons', 'on', 'target', 'the', 'experiment', 'utilizes', 'the', 'intense', 'source', 'of', 'muon', 'neutrinos', 'provided', 'by', 'the', 'numi', 'beam', 'line', 'this', 'note', 'summarizes', 'the', 'systematic', 'uncertainties', 'in', 'the', 'experiments', 'knowledge', 'of', 'the', 'flux', 'and', 'energy', 'spectrum', 'of', 'the', 'neutrinos', 'from', 'numi']] | [-0.050618658802194294, 0.2407133062719878, -0.03253549736058503, 0.09370349960916333, -0.031983106478787306, -0.049466956423170734, 0.07340345196548458, 0.35903831345862464, -0.14916959393508078, -0.36662761236361247, -0.004449578684248161, -0.43056065183982517, 0.1001060301307262, 0.22250322223101793, 0.018020755562343095, 0.050529834207784584, 0.17621512096702008, -0.00025989572729980735, -0.08386625191033409, -0.19354154443237603, 0.2737936906500213, 0.2690535709425284, 0.32758617294919595, 0.13406373612713396, 0.16684102330748973, -0.047576358995253316, -0.13332356280532845, -0.18079108862500443, -0.05679822272800824, 0.03996931725557436, 0.2155194292008354, 0.16463514736020252, 0.08902750412623088, -0.4857073023327087, -0.1411189967148586, 0.07829822610508193, 0.08642032946737711, 0.016681293875240442, -0.11097829153744929, -0.3673208467008775, 0.005202533383118479, -0.17830517290878975, -0.14454175833318578, 0.1078535057277533, -0.08019816368948995, -0.005300241724686011, -0.24492210486348262, -0.018033763152759587, 0.013404646912883771, 0.10379574276310832, -0.03626364358423049, -0.23358606803639417, 0.0639976155127219, 0.015709660841119393, 0.15932803780755453, 0.13357735998732478, 0.17955465109920815, -0.056225809738399427, -0.1002677056382884, 0.32516351142865524, -0.07123447707935907, -0.05033006584435178, 0.07121833857034512, -0.19789848267100751, -0.08788485059988473, 0.2473331126466132, 0.1896376877026469, 0.043816147600872477, -0.22787594105721565, 0.06036419071269369, -0.09161704316277776, 0.20828121042761363, 0.051242212875207006, -0.062271063853251304, 0.2271317057311535, 0.2440989414279006, 0.13997623677316465, 0.002214214584806509, -0.2425494903061343, 0.02972995866449517, -0.4079839842590062, -0.04512745860898704, -0.12864516189387232, 0.08937329847953822, 0.0735158261257375, 0.00630685657654938, 0.45318670976057385, 0.11945394186401054, 0.17416627143035857, -0.08511336637954962, 0.3434422088035366, -0.006473490314786895, 0.014986739175296143, 0.018199163701450617, 0.3232112326904347, 0.10810002260596345, 0.22417913248206964, -0.2852285421134806, 0.04872613492536179, 0.05710346825224789] |
712.1281 | Polar Behavior in a Magnetic Perovskite Via A-Site Disorder | We elucidate a mechanism for obtaining polar behavior in magnetic perovskites
based on A-site disorder and demonstrate this mechanism by density functional
calculations for the double perovskite (La,Lu)MnNiO$_6$ with Lu concentrations
at and below 50%. We show that this material combines polar behavior and
ferromagnetism. The mechanism is quite general and may be applicable to a wide
range of magnetic perovskites.
| cond-mat.mtrl-sci cond-mat.str-el | we elucidate a mechanism for obtaining polar behavior in magnetic perovskites based on asite disorder and demonstrate this mechanism by density functional calculations for the double perovskite lalumnnio_6 with lu concentrations at and below 50 we show that this material combines polar behavior and ferromagnetism the mechanism is quite general and may be applicable to a wide range of magnetic perovskites | [['we', 'elucidate', 'a', 'mechanism', 'for', 'obtaining', 'polar', 'behavior', 'in', 'magnetic', 'perovskites', 'based', 'on', 'asite', 'disorder', 'and', 'demonstrate', 'this', 'mechanism', 'by', 'density', 'functional', 'calculations', 'for', 'the', 'double', 'perovskite', 'lalumnnio_6', 'with', 'lu', 'concentrations', 'at', 'and', 'below', '50', 'we', 'show', 'that', 'this', 'material', 'combines', 'polar', 'behavior', 'and', 'ferromagnetism', 'the', 'mechanism', 'is', 'quite', 'general', 'and', 'may', 'be', 'applicable', 'to', 'a', 'wide', 'range', 'of', 'magnetic', 'perovskites']] | [-0.12549746538279577, 0.17068726425835243, -0.022364021659207842, 0.05458432638358014, -0.023792561407511435, -0.1453237919602543, 0.11146227501643201, 0.4228962621341149, -0.2804081641603261, -0.2928542955312878, 0.015632244376077627, -0.2530358870668958, -0.20283664114152392, 0.21093402214270707, -0.014892075412596266, -0.043725780413175624, -0.05676185010621945, -0.08144172405203183, -0.11399588578303034, -0.16345190306504567, 0.2610724280588329, 0.06071662299024562, 0.310628003316621, 0.1324823675211519, 0.05005991531846424, -0.015299848234280943, 0.16341291832892846, 0.019518557004630566, -0.14312242207876505, 0.07475824748786787, 0.2437915837392211, -0.04702107770523677, 0.21615201712120324, -0.4266192240640521, -0.260932637952889, -0.032517568999901415, 0.10530295264519131, 0.14286250798031688, -0.16875324827657703, -0.21019971065688878, 0.1463104272891845, -0.1401359856671964, -0.11786909530055709, -0.17107489031429093, -0.02353555018780753, 0.04423785578304281, -0.34140515023221574, 0.0626368293305859, 0.05098756979374836, 0.09353294342763548, -0.1581368237733841, -0.15355000326526352, 0.007231118522273997, 0.006559013753818969, 0.06657245118791859, 0.05021834477277783, 0.1740252946037799, -0.0712226099257047, -0.07834725718324383, 0.3767984098754823, -0.02014309816683332, -0.0793096161292245, 0.18094994308194146, -0.21479409960253784, -0.12972188903950155, 0.16924311661471922, 0.13327647396945394, 0.16452250418563683, -0.13188284607604145, 0.0815759865528283, 0.0098203576693777, 0.18673589487249653, -0.01816292288713157, 0.09207624789657226, 0.24323153402656317, 0.2222494610895713, 0.012087093262622754, 0.10453703144060758, -0.11382731874085342, -0.08433925278950483, -0.18372021379570166, -0.1640743445449819, -0.15868652652328213, 0.028101768019162896, -0.07722567307355348, -0.1990820639456312, 0.3920308367038767, 0.15491511509171688, 0.16788397633160154, -0.0287845637028416, 0.16986659010872246, 0.052020119751493135, 0.08641170617192984, 0.017164219888703276, 0.26572097197252637, 0.15730790201341732, 0.13333539869636296, -0.24678578585929548, 0.14956042096794894, 0.043139084623544474] |
712.1282 | Thermal noise can facilitate energy transformation in the presence of
entropic barriers | Efficiency of a Brownian particle moving along the axis of a
three-dimensional asymmetric periodic channel is investigated in the presence
of a symmetric unbiased force and a load. Reduction of the spatial
dimensionality from two or three physical dimensions to an effective
one-dimensional system entails the appearance of entropic barriers and an
effective diffusion coefficient. The energetics in the presence of entropic
barriers exhibits peculiar behavior which is different from that occurring
through energy barriers. We found that even on the quasistatic limit there is a
regime where the efficiency can be a peaked function of temperature, which
indicates that thermal noise can facilitate energy transformation, contrary to
the case of energy barriers. The appearance of entropic barriers may induce
optimized efficiency at a finite temperature.
| cond-mat.stat-mech cond-mat.soft | efficiency of a brownian particle moving along the axis of a threedimensional asymmetric periodic channel is investigated in the presence of a symmetric unbiased force and a load reduction of the spatial dimensionality from two or three physical dimensions to an effective onedimensional system entails the appearance of entropic barriers and an effective diffusion coefficient the energetics in the presence of entropic barriers exhibits peculiar behavior which is different from that occurring through energy barriers we found that even on the quasistatic limit there is a regime where the efficiency can be a peaked function of temperature which indicates that thermal noise can facilitate energy transformation contrary to the case of energy barriers the appearance of entropic barriers may induce optimized efficiency at a finite temperature | [['efficiency', 'of', 'a', 'brownian', 'particle', 'moving', 'along', 'the', 'axis', 'of', 'a', 'threedimensional', 'asymmetric', 'periodic', 'channel', 'is', 'investigated', 'in', 'the', 'presence', 'of', 'a', 'symmetric', 'unbiased', 'force', 'and', 'a', 'load', 'reduction', 'of', 'the', 'spatial', 'dimensionality', 'from', 'two', 'or', 'three', 'physical', 'dimensions', 'to', 'an', 'effective', 'onedimensional', 'system', 'entails', 'the', 'appearance', 'of', 'entropic', 'barriers', 'and', 'an', 'effective', 'diffusion', 'coefficient', 'the', 'energetics', 'in', 'the', 'presence', 'of', 'entropic', 'barriers', 'exhibits', 'peculiar', 'behavior', 'which', 'is', 'different', 'from', 'that', 'occurring', 'through', 'energy', 'barriers', 'we', 'found', 'that', 'even', 'on', 'the', 'quasistatic', 'limit', 'there', 'is', 'a', 'regime', 'where', 'the', 'efficiency', 'can', 'be', 'a', 'peaked', 'function', 'of', 'temperature', 'which', 'indicates', 'that', 'thermal', 'noise', 'can', 'facilitate', 'energy', 'transformation', 'contrary', 'to', 'the', 'case', 'of', 'energy', 'barriers', 'the', 'appearance', 'of', 'entropic', 'barriers', 'may', 'induce', 'optimized', 'efficiency', 'at', 'a', 'finite', 'temperature']] | [-0.1614819611496632, 0.17579717126823702, -0.09842730052396868, 0.036503195933561536, -0.026017915494444353, -0.13037215165668242, 0.049939154878966434, 0.36506688674645765, -0.27498792865801425, -0.2926589571944778, 0.04803485584829653, -0.25408729242663536, -0.11936250511771215, 0.1813813252919649, -0.02162856012139292, 0.002533330044816322, 0.02381768073546626, 0.040571726989814094, -0.05269961332577088, -0.15776754635578347, 0.29927567154583, 0.09085008466527575, 0.31422128521704246, 0.0966598167239378, 0.11527964472770691, -0.011480259811616548, 0.04853820760867426, 0.07701533092629342, -0.1121992406440277, 0.07453538355831471, 0.18746864124541246, -0.03808663137851187, 0.24204203651040895, -0.4124614944430216, -0.2508293938867393, 0.11151549813433713, 0.16184916281481349, 0.11840302881688648, -0.07106071701993988, -0.22130219343983168, 0.023200411090834275, -0.14122789507983105, -0.17453417206360472, -0.026343627810655607, 0.026154699824040846, 0.033756298632065335, -0.29177011605647823, 0.16867805407197184, 0.09004458533378229, 0.03903041669492802, -0.07092543722440799, -0.0831846489140483, -0.05732969733856855, 0.09469375104665578, 0.05854095498632107, -0.022823385223524555, 0.1920032093360547, -0.12264852125995926, -0.0953242692482909, 0.3712674279564193, -0.05160963224313621, -0.2059514650868045, 0.21945290110814977, -0.09685652320908886, -0.04568891158689641, 0.19457352433782366, 0.15860127960701312, 0.08247624713897941, -0.14442005971934468, 0.0828204684630258, 0.044173034831940655, 0.16046497831929527, 0.08112614776473492, 0.029118181054761248, 0.2194580043340841, 0.15941529507408775, 0.0830672898455449, 0.17587578372331336, -0.1554273185449549, -0.15183122076107086, -0.27400783985291444, -0.16144289529424102, -0.19474746275781876, 0.07792527473424025, -0.13289552084368927, -0.17237819649098027, 0.3742871424552822, 0.12451490509741393, 0.19908146962656506, -0.010111601873567062, 0.2611953905739245, 0.1563747224133713, 0.05316289746025134, 0.055733402832485145, 0.24177118809339368, 0.0924209881433478, 0.1001241722473106, -0.27449144843581413, 0.0642177066359196, 0.0040981836602210055] |
712.1283 | On-The-Fly Observing System of the Nobeyama 45-m and ASTE 10-m
Telescopes | We have developed spectral line On-The-Fly (OTF) observing mode for the
Nobeyama Radio Observatory 45-m and the Atacama Submillimeter Telescope
Experiment 10-m telescopes. Sets of digital autocorrelation spectrometers are
available for OTF with heterodyne receivers mounted on the telescopes,
including the focal-plane 5 x 5 array receiver, BEARS, on the 45-m. During OTF
observations, the antenna is continuously driven to cover the mapped region
rapidly, resulting in high observing efficiency and accuracy. Pointing of the
antenna and readouts from the spectrometer are recorded as fast as 0.1 second.
In this paper we report improvements made on software and instruments,
requirements and optimization of observing parameters, data reduction process,
and verification of the system. It is confirmed that, using optimal parameters,
the OTF is about twice as efficient as conventional position-switch observing
method.
| astro-ph | we have developed spectral line onthefly otf observing mode for the nobeyama radio observatory 45m and the atacama submillimeter telescope experiment 10m telescopes sets of digital autocorrelation spectrometers are available for otf with heterodyne receivers mounted on the telescopes including the focalplane 5 x 5 array receiver bears on the 45m during otf observations the antenna is continuously driven to cover the mapped region rapidly resulting in high observing efficiency and accuracy pointing of the antenna and readouts from the spectrometer are recorded as fast as 01 second in this paper we report improvements made on software and instruments requirements and optimization of observing parameters data reduction process and verification of the system it is confirmed that using optimal parameters the otf is about twice as efficient as conventional positionswitch observing method | [['we', 'have', 'developed', 'spectral', 'line', 'onthefly', 'otf', 'observing', 'mode', 'for', 'the', 'nobeyama', 'radio', 'observatory', '45m', 'and', 'the', 'atacama', 'submillimeter', 'telescope', 'experiment', '10m', 'telescopes', 'sets', 'of', 'digital', 'autocorrelation', 'spectrometers', 'are', 'available', 'for', 'otf', 'with', 'heterodyne', 'receivers', 'mounted', 'on', 'the', 'telescopes', 'including', 'the', 'focalplane', '5', 'x', '5', 'array', 'receiver', 'bears', 'on', 'the', '45m', 'during', 'otf', 'observations', 'the', 'antenna', 'is', 'continuously', 'driven', 'to', 'cover', 'the', 'mapped', 'region', 'rapidly', 'resulting', 'in', 'high', 'observing', 'efficiency', 'and', 'accuracy', 'pointing', 'of', 'the', 'antenna', 'and', 'readouts', 'from', 'the', 'spectrometer', 'are', 'recorded', 'as', 'fast', 'as', '01', 'second', 'in', 'this', 'paper', 'we', 'report', 'improvements', 'made', 'on', 'software', 'and', 'instruments', 'requirements', 'and', 'optimization', 'of', 'observing', 'parameters', 'data', 'reduction', 'process', 'and', 'verification', 'of', 'the', 'system', 'it', 'is', 'confirmed', 'that', 'using', 'optimal', 'parameters', 'the', 'otf', 'is', 'about', 'twice', 'as', 'efficient', 'as', 'conventional', 'positionswitch', 'observing', 'method']] | [-0.1376594849417825, 0.07038988748241841, -0.03221170992398535, -0.013018737123580539, -0.0875151286058071, -0.17084667545864146, 0.03763131987932671, 0.46866242097733357, -0.1546708669172216, -0.3879801147432557, 0.22486080409859427, -0.3070074757952101, -0.08906187355262406, 0.27601028355336144, -0.0053294049489279885, 0.06620368402529479, 0.14951999714413217, -0.140432367156409, -0.03925265005846572, -0.1809714301107167, 0.22154742991551757, 0.2098077987640641, 0.2846586049200242, -0.061423319192844945, 0.18610143728415618, -0.05090692629120117, -0.11460446859603278, -0.040342757513903024, -0.06023234505596693, 0.03954254300155826, 0.3248215952571766, 0.18020508859221263, 0.18359163310734256, -0.37161714135747376, -0.14091396274201515, 0.0241572305512124, 0.1004888165390247, -0.023474880490622674, 0.009940536627865872, -0.35690113340454704, 0.02666930727063472, -0.13986267153180795, -0.13565403446803964, 0.030726015562447542, -0.0359011169892686, 0.08100048181039231, -0.2559222953895263, -0.06065200857519535, -0.09666559527599687, 0.11626169710412963, -0.07253649460421946, -0.14230307958973928, 0.011025702320430285, 0.15191165979894747, -0.06635806667605124, 0.06913266633814982, 0.13389201659197345, -0.08558361607120295, -0.06909534309631683, 0.3219175231465288, -0.0827228251883746, -0.050089871247817996, 0.14176410596590233, -0.2112152059544731, -0.1724732808505704, 0.19232587939313123, 0.18538975915120637, 0.09730317478089501, -0.13923210588120322, 0.05318620603243671, 0.026191386998495984, 0.26408191407739207, 0.11449699335596489, 0.08059074336179455, 0.2087002796901191, 0.19142747325076231, 0.09930420976722229, 0.18194428197186413, -0.3002919543282136, -0.027740973296738764, -0.22423037772870247, -0.13474485364863437, -0.2116905677899672, 0.02478418167403238, -0.039097031211624465, -0.05279433921171452, 0.34266347907312955, 0.15103681633455096, 0.11601810803537378, 0.058613835336313445, 0.3778575861129824, 0.0437216826248914, 0.13069111710940381, 0.003375728774588299, 0.27817028547630057, 0.06825853468324164, 0.19344869952378724, -0.20042487356535388, -0.0017727624895122215, -0.0020000381832444712] |
712.1284 | Nature of metal-nonmetal transition in metal-ammonia solutions. II. From
uniform metallic state to inhomogeneous electronic microstructure | Applying semi-analytical models of nonideal plasma, we evaluate the behavior
of the metallic phase in metal-ammonia solutions (MAS). This behavior is mainly
controlled by the degenerate electron gas, which remains stable down to 5 MPM
due to high solvent polarizability and strong dielectric screening of solvated
ions. Comparing the behavior of the metallic state with those of localized
solvated electrons, we have estimated the miscibility gap $\Delta n$ for
various alkali metals and found $\Delta n$(Na)$> \Delta n($K$)$. It is rather
narrow in Rb-NH$_3$ and does not occur in Cs-NH$_3$ solutions, which is in full
agreement with the experiments. The case of Li is discussed separately. The
difference calculated in the excess free energies of the metallic and
nonmetallic phases is in the order of $k_BT$, yielding a thermally fluctuating
mixed state at intermediate metal concentrations. It results in a continuous
metal-nonmetal (MNM) transition above the consolute point $T_c$ and a phase
separation below $T_c$. We propose a criterion for the MNM transition which may
be attributed to the line of the maximum of compressibility above $T_c$. This
line crosses the spinodal one at the critical temperature. Finally, we assert
that a new electronic phase similar to microemulsion should also arise between
the spinodal and the binodal lines.
| cond-mat.stat-mech cond-mat.str-el | applying semianalytical models of nonideal plasma we evaluate the behavior of the metallic phase in metalammonia solutions mas this behavior is mainly controlled by the degenerate electron gas which remains stable down to 5 mpm due to high solvent polarizability and strong dielectric screening of solvated ions comparing the behavior of the metallic state with those of localized solvated electrons we have estimated the miscibility gap delta n for various alkali metals and found delta nna delta nk it is rather narrow in rbnh_3 and does not occur in csnh_3 solutions which is in full agreement with the experiments the case of li is discussed separately the difference calculated in the excess free energies of the metallic and nonmetallic phases is in the order of k_bt yielding a thermally fluctuating mixed state at intermediate metal concentrations it results in a continuous metalnonmetal mnm transition above the consolute point t_c and a phase separation below t_c we propose a criterion for the mnm transition which may be attributed to the line of the maximum of compressibility above t_c this line crosses the spinodal one at the critical temperature finally we assert that a new electronic phase similar to microemulsion should also arise between the spinodal and the binodal lines | [['applying', 'semianalytical', 'models', 'of', 'nonideal', 'plasma', 'we', 'evaluate', 'the', 'behavior', 'of', 'the', 'metallic', 'phase', 'in', 'metalammonia', 'solutions', 'mas', 'this', 'behavior', 'is', 'mainly', 'controlled', 'by', 'the', 'degenerate', 'electron', 'gas', 'which', 'remains', 'stable', 'down', 'to', '5', 'mpm', 'due', 'to', 'high', 'solvent', 'polarizability', 'and', 'strong', 'dielectric', 'screening', 'of', 'solvated', 'ions', 'comparing', 'the', 'behavior', 'of', 'the', 'metallic', 'state', 'with', 'those', 'of', 'localized', 'solvated', 'electrons', 'we', 'have', 'estimated', 'the', 'miscibility', 'gap', 'delta', 'n', 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'crosses', 'the', 'spinodal', 'one', 'at', 'the', 'critical', 'temperature', 'finally', 'we', 'assert', 'that', 'a', 'new', 'electronic', 'phase', 'similar', 'to', 'microemulsion', 'should', 'also', 'arise', 'between', 'the', 'spinodal', 'and', 'the', 'binodal', 'lines']] | [-0.12863902447805106, 0.22152474465004612, -0.0483227096389509, 0.03608678100425501, 0.029113937595416115, -0.16044905834867465, 0.107578491057423, 0.3689516368096025, -0.2389067515473162, -0.27797364842291306, 0.023527451444448885, -0.32343352555740373, -0.07038446400117906, 0.12263913224089565, 0.029886137792451795, 0.009504613546490414, -0.03232528601131104, 0.001283570721709323, -0.12598047251880928, -0.1736819335740982, 0.2853919036722588, 0.013410590466979927, 0.27204556582106765, 0.13389984706588523, 0.019772460727094283, -0.06736350153093633, 0.11314531742002887, 0.043235853657994455, -0.1715371206641755, 0.02531905635938193, 0.28284419823327517, -0.04025596587859926, 0.20335705511190577, 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712.1285 | "Flavored" Electric Dipole Moments in Supersymmetric Theories | The Standard Model (SM) predictions for the hadronic electric dipole moments
(EDMs) are well far from the present experimental resolutions, thus, the EDMs
represent very clean probes of New Physics (NP) effects. Especially, within an
MSSM framework with flavor-changing (but not necessarily CP violating) soft
terms, large and potentially visible effects to the EDMs are typically
expected. In this Letter we point out that, beyond-leading-order (BLO) effects,
so far neglected in the literature, dominate over the leading-order (LO)
effects in large regions of the parameter space, hence, their inclusion in the
evaluation of the hadronic EDMs is unavoidable.
| hep-ph | the standard model sm predictions for the hadronic electric dipole moments edms are well far from the present experimental resolutions thus the edms represent very clean probes of new physics np effects especially within an mssm framework with flavorchanging but not necessarily cp violating soft terms large and potentially visible effects to the edms are typically expected in this letter we point out that beyondleadingorder blo effects so far neglected in the literature dominate over the leadingorder lo effects in large regions of the parameter space hence their inclusion in the evaluation of the hadronic edms is unavoidable | [['the', 'standard', 'model', 'sm', 'predictions', 'for', 'the', 'hadronic', 'electric', 'dipole', 'moments', 'edms', 'are', 'well', 'far', 'from', 'the', 'present', 'experimental', 'resolutions', 'thus', 'the', 'edms', 'represent', 'very', 'clean', 'probes', 'of', 'new', 'physics', 'np', 'effects', 'especially', 'within', 'an', 'mssm', 'framework', 'with', 'flavorchanging', 'but', 'not', 'necessarily', 'cp', 'violating', 'soft', 'terms', 'large', 'and', 'potentially', 'visible', 'effects', 'to', 'the', 'edms', 'are', 'typically', 'expected', 'in', 'this', 'letter', 'we', 'point', 'out', 'that', 'beyondleadingorder', 'blo', 'effects', 'so', 'far', 'neglected', 'in', 'the', 'literature', 'dominate', 'over', 'the', 'leadingorder', 'lo', 'effects', 'in', 'large', 'regions', 'of', 'the', 'parameter', 'space', 'hence', 'their', 'inclusion', 'in', 'the', 'evaluation', 'of', 'the', 'hadronic', 'edms', 'is', 'unavoidable']] | [-0.08022015278788322, 0.22945960621217062, -0.008546096918990418, 0.16837162000355216, -0.07011366314587317, -0.07379066586798551, 0.044040029457466184, 0.30973938798379835, -0.24241459784002936, -0.3071059094532868, 0.023449309046703334, -0.29374453644933446, -0.0524136452479478, 0.14066798511502923, 0.020160564171549464, 0.01660223659698148, 0.03504083640113169, -0.032272082368596175, -0.07001953076675763, -0.20342151101260464, 0.23375745756760696, 0.0822687120442944, 0.22894707140607798, 0.13042030498689536, -0.028230481386678864, -0.02863382916821509, -0.04552757656659066, 0.032523767029265495, -0.06846110088246155, 0.08333440731060976, 0.25303552005135893, 0.0519544961339585, 0.11245622158250106, -0.44150340399343746, -0.14449185851904356, 0.17206122570348029, 0.13906278860356128, 0.15404106085711367, -0.03813137981579734, -0.30139932574286143, 0.02620666695055457, -0.19323988689575344, -0.09955591811205745, -0.14024872765686286, -0.028185149688007578, -0.05400592442934534, -0.3054081777120199, 0.07541686371063852, 0.0205305487651625, 0.027985391154771253, 0.02803165125613082, -0.23179748584516346, 0.026270344470893697, 0.08570488133201641, 0.1329283018760402, 0.010587310665572176, 0.1738321971556894, -0.19569954910964174, -0.11065470990819895, 0.44219746651622105, -0.05785556473027991, -0.1875912662481471, 0.157544108269242, -0.25757975530411514, -0.18105899671206074, 0.17195352788881532, 0.18125508189820852, 0.12640635119941163, -0.1885955833202722, 0.1933294319665316, 0.0018925193735227293, 0.13700478830124127, -0.004708469514521219, 0.14474159744758236, 0.2774510258732706, 0.15564880781089507, 0.01410889298636086, 0.031011114467163474, -0.10293146042326674, -0.1009457114518487, -0.41074909859013803, -0.028974045733255998, -0.10716639573172647, 0.007429436965975008, -0.05623715072000109, -0.1733184226085337, 0.3378161141050181, 0.19053934092576408, 0.18708798553252934, -0.002434353025782169, 0.357153108115403, 0.045334689302503, 0.1176026216114168, 0.018555503250669916, 0.3861067549952743, 0.08647496570661968, 0.09005709177439045, -0.23214694672520747, 0.09979628466012679, 0.020872293444046258] |
712.1286 | Miyawaki's $F_{12}$ Spinor L-function Conjecture | In this paper we prove the Miyawaki conjecture related to the spinor
$L$--function of a Siegel cusp form of weight 12 and degree 3 as a special
example of results related to Miyawaki lifts of odd degree.
| math.NT math.RT | in this paper we prove the miyawaki conjecture related to the spinor lfunction of a siegel cusp form of weight 12 and degree 3 as a special example of results related to miyawaki lifts of odd degree | [['in', 'this', 'paper', 'we', 'prove', 'the', 'miyawaki', 'conjecture', 'related', 'to', 'the', 'spinor', 'lfunction', 'of', 'a', 'siegel', 'cusp', 'form', 'of', 'weight', '12', 'and', 'degree', '3', 'as', 'a', 'special', 'example', 'of', 'results', 'related', 'to', 'miyawaki', 'lifts', 'of', 'odd', 'degree']] | [-0.23160948981908527, 0.058802966519284086, -0.09413460669787349, 0.060625751159858667, -0.09517683476411007, -0.14526812926035476, -0.011870792107279034, 0.23503664015112696, -0.2622005978498507, -0.265416162119977, 0.04551416912078354, -0.21786018763039564, -0.24876394223522497, 0.1858204142819788, -0.08331093182032173, 0.020394152433082863, -0.003944978426286095, 0.12151958871431448, -0.09375286585575826, -0.36198368829649846, 0.4432942577310511, -0.01000372227281332, 0.16738620667240103, 0.11264935319588797, 0.07757971020465768, 0.004663421130562956, 0.05542508756892907, -0.1250898844335933, -0.15499483967652997, 0.19172642682049726, 0.2811339167324272, 0.04698504051319449, 0.21611132759701562, -0.3634705487135294, -0.06477904733194895, 0.1807825255736306, 0.127264121622854, -0.002628717294617279, 0.04190416182894763, -0.182793953581839, 0.06133420861049278, -0.18752784885519586, -0.3027510152676621, -0.0795529902963018, 0.02020288150556184, 0.0016704780880261111, -0.26820133757349607, 0.07401848388080662, 0.15601587119336063, 0.1668244534096605, -0.09632405970950385, -0.1825392470770591, -0.050042753686776034, 0.03835931785303999, 0.04960398154484259, 0.11989777235666642, -0.0252244581116011, -0.20238943076440813, -0.12040917645837809, 0.31219629409748156, -0.08053755740056166, -0.19662284035537694, 0.0846322080170786, -0.2102149813561826, -0.22797178255545125, 0.06598558233157303, 0.13403555877959808, 0.1510543300820565, 0.033929944013220234, 0.11617861098981135, -0.14401352929102407, 0.07927583726878101, 0.2195298304730976, -0.056043806309635576, 0.11297364641182325, -0.003667622754299963, 0.051843463606830384, 0.21372927587504523, -0.033050178122278805, -0.01659461507428991, -0.3280782997608185, -0.2591407310620353, -0.1418000530652903, 0.18816796851319237, -0.08360113428765593, -0.14122826887949094, 0.4548282781552926, 0.09123605610551061, 0.21361743105021683, 0.10821258561131922, 0.15385101755728592, 0.12542437285977742, 0.08939648983446327, 0.03224351916720185, 0.11611514911055565, 0.23165276253948341, -0.04045860695879202, -0.1349983475095517, -0.04474627194104943, 0.14450278840455655] |
712.1287 | The shape of invasion perclation clusters in random and correlated media | The shape of two-dimensional invasion percolation clusters are studied
numerically for both non-trapping (NTIP) and trapping (TIP) invasion
percolation processes. Two different anisotropy quantifiers, the anisotropy
parameter and the asphericity are used for probing the degree of anisotropy of
clusters. We observe that in spite of the difference in scaling properties of
NTIP and TIP, there is no difference in the values of anisotropy quantifiers of
these processes. Furthermore, we find that in completely random media, the
invasion percolation clusters are on average slightly less isotropic than
standard percolation clusters. Introducing isotropic long-range correlations
into the media reduces the isotropy of the invasion percolation clusters. The
effect is more pronounced for the case of persisting long-range correlations.
The implication of boundary conditions on the shape of clusters is another
subject of interest. Compared to the case of free boundary conditions, IP
clusters of conventional rectangular geometry turn out to be more isotropic.
Moreover, we see that in conventional rectangular geometry the NTIP clusters
are more isotropic than TIP clusters.
| cond-mat.stat-mech | the shape of twodimensional invasion percolation clusters are studied numerically for both nontrapping ntip and trapping tip invasion percolation processes two different anisotropy quantifiers the anisotropy parameter and the asphericity are used for probing the degree of anisotropy of clusters we observe that in spite of the difference in scaling properties of ntip and tip there is no difference in the values of anisotropy quantifiers of these processes furthermore we find that in completely random media the invasion percolation clusters are on average slightly less isotropic than standard percolation clusters introducing isotropic longrange correlations into the media reduces the isotropy of the invasion percolation clusters the effect is more pronounced for the case of persisting longrange correlations the implication of boundary conditions on the shape of clusters is another subject of interest compared to the case of free boundary conditions ip clusters of conventional rectangular geometry turn out to be more isotropic moreover we see that in conventional rectangular geometry the ntip clusters are more isotropic than tip clusters | [['the', 'shape', 'of', 'twodimensional', 'invasion', 'percolation', 'clusters', 'are', 'studied', 'numerically', 'for', 'both', 'nontrapping', 'ntip', 'and', 'trapping', 'tip', 'invasion', 'percolation', 'processes', 'two', 'different', 'anisotropy', 'quantifiers', 'the', 'anisotropy', 'parameter', 'and', 'the', 'asphericity', 'are', 'used', 'for', 'probing', 'the', 'degree', 'of', 'anisotropy', 'of', 'clusters', 'we', 'observe', 'that', 'in', 'spite', 'of', 'the', 'difference', 'in', 'scaling', 'properties', 'of', 'ntip', 'and', 'tip', 'there', 'is', 'no', 'difference', 'in', 'the', 'values', 'of', 'anisotropy', 'quantifiers', 'of', 'these', 'processes', 'furthermore', 'we', 'find', 'that', 'in', 'completely', 'random', 'media', 'the', 'invasion', 'percolation', 'clusters', 'are', 'on', 'average', 'slightly', 'less', 'isotropic', 'than', 'standard', 'percolation', 'clusters', 'introducing', 'isotropic', 'longrange', 'correlations', 'into', 'the', 'media', 'reduces', 'the', 'isotropy', 'of', 'the', 'invasion', 'percolation', 'clusters', 'the', 'effect', 'is', 'more', 'pronounced', 'for', 'the', 'case', 'of', 'persisting', 'longrange', 'correlations', 'the', 'implication', 'of', 'boundary', 'conditions', 'on', 'the', 'shape', 'of', 'clusters', 'is', 'another', 'subject', 'of', 'interest', 'compared', 'to', 'the', 'case', 'of', 'free', 'boundary', 'conditions', 'ip', 'clusters', 'of', 'conventional', 'rectangular', 'geometry', 'turn', 'out', 'to', 'be', 'more', 'isotropic', 'moreover', 'we', 'see', 'that', 'in', 'conventional', 'rectangular', 'geometry', 'the', 'ntip', 'clusters', 'are', 'more', 'isotropic', 'than', 'tip', 'clusters']] | [-0.1315502845771754, 0.185576909216198, -0.0684738115727152, 0.10343827738649812, -0.03433232912215123, -0.1110148542125285, 0.017478009695517858, 0.41591329006312866, -0.23154505209159656, -0.2503393702539643, 0.03728312280610446, -0.3171052453039247, -0.11918204661304428, 0.16220822668022658, 0.03403473428874855, -0.01451824409892361, 0.01037692944464114, 0.002409800920172556, -0.040620273382805244, -0.2724541865245125, 0.33177861049165125, 0.002458450465722109, 0.3142572367762232, 0.04907961826242462, 0.0049358606724255885, -0.005785131329476293, 0.02385847986064102, 0.1027840063218358, -0.18554688903523614, 0.07090928029860012, 0.16510824412699876, 0.01714094845611139, 0.21736916268145193, -0.42729881433384304, -0.2425540289207852, 0.12604804122930713, 0.18206060118973255, 0.12523093632527094, -0.03240040621502234, -0.27873102092520285, 0.04509470619250243, -0.09726981716390669, -0.17595381648472605, 0.015335727615292961, 0.0515062714811172, 0.04589332224279036, -0.22892016078174643, 0.17866468366742486, 0.07970611260619742, 0.07185922507968175, -0.05745847032201537, -0.10968757733239753, -0.02772130295579162, 0.11880398087600279, 0.009823774490450349, -0.026532188603467136, 0.16191633604466915, -0.16126896369411506, -0.06899606165635956, 0.3825409082288044, 0.03235849021357407, -0.17339802030322402, 0.20261291996024813, -0.1949798383628784, -0.10738491810880293, 0.13078422034600165, 0.1402665161659952, 0.07089432350431497, -0.1428880746195302, 0.04575621404377854, -0.004455767861242302, 0.17172072558889728, 0.11915991959002244, -0.007300379262416012, 0.15880274875867925, 0.17394582816460252, 0.11997449989623483, 0.1733808980520385, -0.10550207190216276, -0.13211364064092843, -0.25274255177413923, -0.0998093335883769, -0.15809174379355898, 0.03889757134268314, -0.20362662956555658, -0.21161756926276803, 0.3197183109786824, 0.1389331101445404, 0.17978147542952785, 0.02510345748697336, 0.19965383198288594, 0.07011842477195979, 0.06576689781025934, 0.04870928625008587, 0.25063229199035986, 0.16252335182187208, 0.06944332220288511, -0.19931326070993302, 0.10498389194322717, 0.02277522681269949] |
712.1288 | Study of Structure of the Mass Gap between Two Spin Multiplets | Studying our semirelativistic potential model and the numerical results,
which succeeds in predicting and reproducing recently discovered higher
resonances of $D$, $D_s$, $B$, and $B_s$, we find a simple expression for the
mass gap between two spin multiplets of heavy-light mesons, $(0^-,1^-)$ and
$(0^+,1^+)$. The mass gap between chiral partners defined by $\Delta
M=M(0^+)-M(0^-)$ and/or $M(1^+)-M(1^-)$ is given by $\Delta
M=M(0^+)-M(0^-)=M(1^+)-M(1^-)\approx \Lambda_{\rm Q}-m_q$ in the limit of heavy
quark symmetry. We also study the case including $1/m_Q$ corrections.
| hep-ph hep-ex | studying our semirelativistic potential model and the numerical results which succeeds in predicting and reproducing recently discovered higher resonances of d d_s b and b_s we find a simple expression for the mass gap between two spin multiplets of heavylight mesons 01 and 01 the mass gap between chiral partners defined by delta mm0m0 andor m1m1 is given by delta mm0m0m1m1approx lambda_rm qm_q in the limit of heavy quark symmetry we also study the case including 1m_q corrections | [['studying', 'our', 'semirelativistic', 'potential', 'model', 'and', 'the', 'numerical', 'results', 'which', 'succeeds', 'in', 'predicting', 'and', 'reproducing', 'recently', 'discovered', 'higher', 'resonances', 'of', 'd', 'd_s', 'b', 'and', 'b_s', 'we', 'find', 'a', 'simple', 'expression', 'for', 'the', 'mass', 'gap', 'between', 'two', 'spin', 'multiplets', 'of', 'heavylight', 'mesons', '01', 'and', '01', 'the', 'mass', 'gap', 'between', 'chiral', 'partners', 'defined', 'by', 'delta', 'mm0m0', 'andor', 'm1m1', 'is', 'given', 'by', 'delta', 'mm0m0m1m1approx', 'lambda_rm', 'qm_q', 'in', 'the', 'limit', 'of', 'heavy', 'quark', 'symmetry', 'we', 'also', 'study', 'the', 'case', 'including', '1m_q', 'corrections']] | [-0.11658685418466727, 0.2216551900251458, -0.007276020993789037, 0.1268949323100969, 0.0020632256412257753, -0.15231912853196264, 0.0705038146674633, 0.3121799950301647, -0.16335897357513507, -0.30566304390629134, -0.03522067015680174, -0.31263730488717556, -0.08733922717471918, 0.09956010738698144, 0.07128642428666353, 0.07959287390112876, 0.025667867424587407, 0.01651910281429688, -0.1309576853364706, -0.16018118035203466, 0.3232081563584506, -0.03757057557503382, 0.14482093404978513, 0.1698728724134465, -0.019175445021440585, -0.002825101508448521, -0.0050618361681699755, -0.06585967404146989, -0.16297033715372283, 0.07302236561973889, 0.16597289990866557, 0.032671031349649035, 0.17831911796703934, -0.31832390108456216, -0.14991124920236568, 0.11720089726770917, 0.16684402740870913, 0.09690152287948876, -0.06609251201152802, -0.30085392807610334, 0.09629474924256404, -0.20915227848415574, -0.17061916122833887, -0.10261606475959222, 0.07565588797753056, -0.062294434312110146, -0.34747788556851444, 0.13849598421055512, 0.0159979118903478, 0.02887396523108085, -0.04833512098838886, -0.22826094791293144, -0.07892939824300507, 0.054251684211194515, 0.11025914953555911, 0.06835181139719983, 0.07533538867059784, -0.16555826387290531, -0.11099405356372397, 0.42430313299099603, -0.1131130416567127, -0.16590386856347322, 0.13129537807777525, -0.21090139428153634, -0.11706143705795209, 0.06067777663469315, 0.16963430140400304, 0.1156910611440738, -0.15364701122045518, 0.14855973569986722, -0.041933962230881056, 0.1364074218319729, 0.09933507459238172, 0.06977213696266214, 0.2127910295439263, 0.1668597368275126, -0.03868951275323828, 0.03407482275428871, -0.07780748260828356, -0.08401943244040012, -0.32888751131792865, -0.12014529220759869, -0.14877611412356298, 0.03607052811111013, -0.10925235100633775, -0.06320680404702822, 0.38679135592033465, 0.06020292591303587, 0.2761602187032501, 0.06089499570584545, 0.2351167345729967, 0.14082725467315566, 0.06532997442797447, 0.10330110533162952, 0.26790048704793057, 0.21238142990196746, 0.08785872265075644, -0.3278289054892957, -0.05033731997633974, 0.08632871629049381] |
712.1289 | Regimes of Precursor-Mediated Epitaxial Growth | A discussion of epitaxial growth is presented for those situations (OMVPE,
CBE, ALE, MOMBE, GSMBE, etc.) when the kinetics of surface processes associated
with molecular precursors may be rate limiting. Emphasis is placed on the
identification of various {\it characteristic length scales} associated with
the surface processes. Study of the relative magnitudes of these lengths
permits one to identify regimes of qualitatively different growth kinetics as a
function of temperature and deposition flux. The approach is illustrated with a
simple model which takes account of deposition, diffusion, desorption,
dissociation, and step incorporation of a single precursor species, as well as
the usual processes of atomic diffusion and step incorporation. Experimental
implications are discussed in some detail.
| cond-mat.mtrl-sci | a discussion of epitaxial growth is presented for those situations omvpe cbe ale mombe gsmbe etc when the kinetics of surface processes associated with molecular precursors may be rate limiting emphasis is placed on the identification of various it characteristic length scales associated with the surface processes study of the relative magnitudes of these lengths permits one to identify regimes of qualitatively different growth kinetics as a function of temperature and deposition flux the approach is illustrated with a simple model which takes account of deposition diffusion desorption dissociation and step incorporation of a single precursor species as well as the usual processes of atomic diffusion and step incorporation experimental implications are discussed in some detail | [['a', 'discussion', 'of', 'epitaxial', 'growth', 'is', 'presented', 'for', 'those', 'situations', 'omvpe', 'cbe', 'ale', 'mombe', 'gsmbe', 'etc', 'when', 'the', 'kinetics', 'of', 'surface', 'processes', 'associated', 'with', 'molecular', 'precursors', 'may', 'be', 'rate', 'limiting', 'emphasis', 'is', 'placed', 'on', 'the', 'identification', 'of', 'various', 'it', 'characteristic', 'length', 'scales', 'associated', 'with', 'the', 'surface', 'processes', 'study', 'of', 'the', 'relative', 'magnitudes', 'of', 'these', 'lengths', 'permits', 'one', 'to', 'identify', 'regimes', 'of', 'qualitatively', 'different', 'growth', 'kinetics', 'as', 'a', 'function', 'of', 'temperature', 'and', 'deposition', 'flux', 'the', 'approach', 'is', 'illustrated', 'with', 'a', 'simple', 'model', 'which', 'takes', 'account', 'of', 'deposition', 'diffusion', 'desorption', 'dissociation', 'and', 'step', 'incorporation', 'of', 'a', 'single', 'precursor', 'species', 'as', 'well', 'as', 'the', 'usual', 'processes', 'of', 'atomic', 'diffusion', 'and', 'step', 'incorporation', 'experimental', 'implications', 'are', 'discussed', 'in', 'some', 'detail']] | [-0.07284324250608813, 0.16321005861136018, -0.05621835898215834, 0.04745914513273818, -0.007004480090057641, -0.11777381705561359, 0.017476539789257867, 0.38231448465631457, -0.2640089371748138, -0.2739764466685684, 0.1006485653669459, -0.23521618832213184, -0.10785025339818706, 0.21312807031229072, 0.024206666292197872, 0.01696529890524975, 0.0332003869769866, -0.02561373299543272, -0.018169723012537713, -0.21329505325360387, 0.29775910431584507, 0.09535335141985693, 0.2872848996173656, 0.09656925255171302, 0.07717175028907756, -0.025980462335977342, -0.018419971544573314, 0.009447408137483555, -0.183958229102325, 0.06562938089809266, 0.20168305215376772, 0.03712344975129031, 0.2185109612335892, -0.4499131696821566, -0.2889032845074932, 0.02199648292898609, 0.14337289851902282, 0.12057980736247836, -0.07101123310368214, -0.21570199328523718, 0.0015334492925097023, -0.1159453435163749, -0.1387298886190381, -0.016427870829622344, 0.040282094222084994, 0.07940928162823088, -0.2625004390270956, 0.09398902736587875, 0.056230356474930375, 0.0635555258404725, -0.08449550619626646, -0.1620630358811468, -0.06977123172908793, 0.12657698831983571, 0.07385376700416632, -0.00988238846491042, 0.22739876964203032, -0.10670064387459047, -0.09644639363365345, 0.41413005711020606, -0.04112171174819467, -0.16057962174282261, 0.2523800074449626, -0.14421789447793312, -0.10226799823392771, 0.16911831429930763, 0.14141858703244412, 0.1391152862230675, -0.16154690967372867, 0.03685595282902859, 0.06830233483771353, 0.12239613274945632, 0.08916267382160745, 0.04293108659616688, 0.18029016319645993, 0.26092056241172384, 0.010758500962861274, 0.1374249636724575, -0.10427144082291705, -0.1258913299983792, -0.3112242297155031, -0.20261211686955535, -0.1255776581942643, 0.07186257858809672, -0.10324099092509928, -0.17074693281105474, 0.357566632097587, 0.1053429647494851, 0.2545750956898637, -0.0011063765626188303, 0.23519489358244627, 0.11749366466915888, 0.0511455506029163, -0.05814569599910133, 0.1532214088173963, 0.14565258250845464, 0.05781454724880556, -0.24168266637022034, 0.14802252652384995, 0.05257065162234204] |
712.129 | Numerically exact Green functions from Hirsch-Fye quantum Monte Carlo
simulations | We present a new method for extracting numerically exact imaginary-time Green
functions from standard Hirsch-Fye quantum Monte Carlo (HF-QMC) simulations
within dynamical mean-field theory. By analytic continuation, angular resolved
spectra are obtained without the discretization bias previously associated with
HF-QMC results. The method is shown to be accurate even at very low
temperatures (T=W/800 for bandwidth W) in the strongly correlated regime.
| cond-mat.str-el | we present a new method for extracting numerically exact imaginarytime green functions from standard hirschfye quantum monte carlo hfqmc simulations within dynamical meanfield theory by analytic continuation angular resolved spectra are obtained without the discretization bias previously associated with hfqmc results the method is shown to be accurate even at very low temperatures tw800 for bandwidth w in the strongly correlated regime | [['we', 'present', 'a', 'new', 'method', 'for', 'extracting', 'numerically', 'exact', 'imaginarytime', 'green', 'functions', 'from', 'standard', 'hirschfye', 'quantum', 'monte', 'carlo', 'hfqmc', 'simulations', 'within', 'dynamical', 'meanfield', 'theory', 'by', 'analytic', 'continuation', 'angular', 'resolved', 'spectra', 'are', 'obtained', 'without', 'the', 'discretization', 'bias', 'previously', 'associated', 'with', 'hfqmc', 'results', 'the', 'method', 'is', 'shown', 'to', 'be', 'accurate', 'even', 'at', 'very', 'low', 'temperatures', 'tw800', 'for', 'bandwidth', 'w', 'in', 'the', 'strongly', 'correlated', 'regime']] | [-0.05838703459365385, 0.11235260100821491, -0.1282593111171708, 0.14238504740432453, -0.005409113539871378, -0.1650392687211546, 0.046387218715638286, 0.44368249361143736, -0.23232989842224805, -0.30121141803435614, 0.06066206937129075, -0.2539067408069968, -0.09558786462503867, 0.27589770090159366, 0.057448765472890656, 0.10680674534046748, 0.1304646630229459, -0.0775923486770375, -0.13439048269809392, -0.1788297185376592, 0.24386416611521214, 0.10378312015501386, 0.24645439219340437, 0.002837027919280236, 0.070550102015316, 0.021489302711714, -0.05170288687327602, 0.05242828433936248, -0.16637085784287725, 0.054868026720512594, 0.26608914500255076, -0.01217924290504612, 0.24192640035733826, -0.37423947731368856, -0.23900892982473138, 0.027418511858606925, 0.1731696709853093, 0.18979871497474243, -0.07301503922370431, -0.29226215672297556, 0.0989028693283679, -0.1736124494555788, -0.18673530090447577, -0.15643655253787997, -0.05580546020637037, 0.01812450457975024, -0.2778004053980112, 0.1579769291823394, -0.09388726390373404, 0.05817263312332454, -0.01791416100211075, -0.15026708300698732, 0.0004598966601197837, 0.06250020369436958, -0.03714633640474411, 0.06805383335402021, 0.08233740270046182, -0.10171512102891432, -0.10901965013109759, 0.30169408527187636, -0.08319653913218406, -0.2192276477141947, 0.19480957057265963, -0.17068143174449196, -0.1398871663011244, 0.22087313265341227, 0.07491591520851752, 0.17700580666299726, -0.1859239084859852, 0.1270248190443543, 0.021466798965864984, 0.1482942201059739, -0.010447234590919535, 0.015416498937201305, 0.150939878366399, 0.11553694931484881, -0.0011530673803120362, 0.10835229094163133, -0.06326800937569685, -0.1962421434610838, -0.25388884710789217, -0.050606234930217125, -0.247958349705231, 0.06495747514466038, -0.11118156817115721, -0.16239173096732512, 0.3233557946857859, 0.20063862105312405, 0.11999806977014561, 0.13518471038732371, 0.3279443903536093, 0.20306916916590245, 0.0283336395886345, 0.07821625360425134, 0.2042378854296613, 0.1544948588697942, 0.08218019793084899, -0.29342012307759313, -0.002771961212646766, 0.14071970346734905] |
712.1291 | Second Order Gravitational Effects on CMB Temperature Anisotropy in
Lambda dominated flat universes | We study second order gravitational effects of local inhomogeneities on the
cosmic microwave background radiation in flat universes with matter and a
cosmological constant $\Lambda$. We find that the general relativistic
correction to the Newtonian approximation is negligible at second order
provided that the size of the inhomogeneous region is sufficiently smaller than
the horizon scale. For a spherically symmetric top-hat type quasi-linear
perturbation, the first order temperature fluctuation corresponding to the
linear integrated Sachs-Wolfe (ISW) effect is enhanced(suppressed) by the
second order one for a compensated void(lump). As a function of redshift of the
local inhomogeneity, the second order temperature fluctuations due to evolution
of the gravitational potential have a peak before the matter-$\Lambda$ equality
epoch for a fixed comoving size and a density contrast. The second order
gravitational effects from local quasi-linear inhomogeneities at a redshift z~1
may significantly affect the cosmic microwave background.
| astro-ph gr-qc | we study second order gravitational effects of local inhomogeneities on the cosmic microwave background radiation in flat universes with matter and a cosmological constant lambda we find that the general relativistic correction to the newtonian approximation is negligible at second order provided that the size of the inhomogeneous region is sufficiently smaller than the horizon scale for a spherically symmetric tophat type quasilinear perturbation the first order temperature fluctuation corresponding to the linear integrated sachswolfe isw effect is enhancedsuppressed by the second order one for a compensated voidlump as a function of redshift of the local inhomogeneity the second order temperature fluctuations due to evolution of the gravitational potential have a peak before the matterlambda equality epoch for a fixed comoving size and a density contrast the second order gravitational effects from local quasilinear inhomogeneities at a redshift z1 may significantly affect the cosmic microwave background | [['we', 'study', 'second', 'order', 'gravitational', 'effects', 'of', 'local', 'inhomogeneities', 'on', 'the', 'cosmic', 'microwave', 'background', 'radiation', 'in', 'flat', 'universes', 'with', 'matter', 'and', 'a', 'cosmological', 'constant', 'lambda', 'we', 'find', 'that', 'the', 'general', 'relativistic', 'correction', 'to', 'the', 'newtonian', 'approximation', 'is', 'negligible', 'at', 'second', 'order', 'provided', 'that', 'the', 'size', 'of', 'the', 'inhomogeneous', 'region', 'is', 'sufficiently', 'smaller', 'than', 'the', 'horizon', 'scale', 'for', 'a', 'spherically', 'symmetric', 'tophat', 'type', 'quasilinear', 'perturbation', 'the', 'first', 'order', 'temperature', 'fluctuation', 'corresponding', 'to', 'the', 'linear', 'integrated', 'sachswolfe', 'isw', 'effect', 'is', 'enhancedsuppressed', 'by', 'the', 'second', 'order', 'one', 'for', 'a', 'compensated', 'voidlump', 'as', 'a', 'function', 'of', 'redshift', 'of', 'the', 'local', 'inhomogeneity', 'the', 'second', 'order', 'temperature', 'fluctuations', 'due', 'to', 'evolution', 'of', 'the', 'gravitational', 'potential', 'have', 'a', 'peak', 'before', 'the', 'matterlambda', 'equality', 'epoch', 'for', 'a', 'fixed', 'comoving', 'size', 'and', 'a', 'density', 'contrast', 'the', 'second', 'order', 'gravitational', 'effects', 'from', 'local', 'quasilinear', 'inhomogeneities', 'at', 'a', 'redshift', 'z1', 'may', 'significantly', 'affect', 'the', 'cosmic', 'microwave', 'background']] | [-0.13803507074610227, 0.1403818509962649, -0.09239570481521595, 0.11850653798238556, -0.08950014601739692, -0.022168351267787836, -0.05905835566227324, 0.28376401697621784, -0.22866776084993035, -0.27886540918957003, 0.05906142428041979, -0.29886985166619223, -0.04153906177574148, 0.13640395484657752, 0.05965720354591516, 0.015686083788750693, -0.07268262393578577, 0.037325584256096694, -0.08563766395410413, -0.2711788630501057, 0.36350649415140246, 0.15916637270129286, 0.23478645493742079, 0.0033976019605890745, 0.09930017747925983, -0.05533787369495258, -0.05745988464978938, 0.10067303731597753, -0.15906067127768134, 0.005143117714598904, 0.17716053451941763, 0.010156860254937783, 0.286650829262928, -0.39947391640291446, -0.25278723823268795, 0.14135965888918792, 0.11142241773066214, 0.19845856188799693, -0.06005307594750775, -0.27030824139364995, 0.07388035753683653, -0.16656188156533366, -0.16140997379099847, 0.02873909240911922, 0.029371679948073708, -0.010503878055412011, -0.2666642257115907, 0.18693966538800547, 0.04896213733526464, -0.03426769195316916, -0.07111952914662349, -0.02696685673355306, -0.02049046670759304, 0.04195167050541689, 0.024610083060300287, 0.07487739728417687, 0.16952301476461193, -0.12839636391597903, -0.026828097472187236, 0.41563801746815443, -0.1601358820178373, -0.11528074432701235, 0.09826650359253916, -0.23039100597250378, -0.09762863290800144, 0.15224373762288856, 0.19289058867272818, 0.0928363786984442, -0.11674609320147687, 0.12741437095084823, 0.09916702082813976, 0.23992598582198196, 0.11251394151865195, 0.03155069114816595, 0.2782235883641988, 0.11023740478412947, 0.09927188151212046, 0.10024168165141924, -0.11352147622609562, -0.029529774855796456, -0.37170654729319114, -0.0808820196479145, -0.1737971252781184, 0.06918252618116741, -0.19511387348736914, -0.19168509691048208, 0.37088593162803185, 0.12932631076950607, 0.1624415513975287, 0.0828554339985001, 0.32814107097995776, 0.13177408776795752, 0.054752277819918364, 0.0710996118813859, 0.3092944204496841, 0.1490600925721487, 0.13715393163794135, -0.26351462569578465, 0.03923691646195948, 0.04861009919194556] |
712.1292 | Two-body scattering without angular-momentum decomposition | Two-body scattering is studied by solving the Lippmann-Schwinger equation in
momentum space without angular-momentum decomposition for a local spin
dependent short range interaction plus Coulomb. The screening and
renormalization approach is employed to treat the Coulomb interaction.
Benchmark calculations are performed by comparing our procedure with
partial-wave calculations in configuration space for p-10Be, p-16O and 12C-10Be
elastic scattering, using a simple optical potential model.
| nucl-th | twobody scattering is studied by solving the lippmannschwinger equation in momentum space without angularmomentum decomposition for a local spin dependent short range interaction plus coulomb the screening and renormalization approach is employed to treat the coulomb interaction benchmark calculations are performed by comparing our procedure with partialwave calculations in configuration space for p10be p16o and 12c10be elastic scattering using a simple optical potential model | [['twobody', 'scattering', 'is', 'studied', 'by', 'solving', 'the', 'lippmannschwinger', 'equation', 'in', 'momentum', 'space', 'without', 'angularmomentum', 'decomposition', 'for', 'a', 'local', 'spin', 'dependent', 'short', 'range', 'interaction', 'plus', 'coulomb', 'the', 'screening', 'and', 'renormalization', 'approach', 'is', 'employed', 'to', 'treat', 'the', 'coulomb', 'interaction', 'benchmark', 'calculations', 'are', 'performed', 'by', 'comparing', 'our', 'procedure', 'with', 'partialwave', 'calculations', 'in', 'configuration', 'space', 'for', 'p10be', 'p16o', 'and', '12c10be', 'elastic', 'scattering', 'using', 'a', 'simple', 'optical', 'potential', 'model']] | [-0.1088685117391569, 0.1288592677202917, -0.11259754100108459, 0.09516258411214597, -0.05139956104704329, -0.14183489237761787, 0.008559968112216841, 0.3814762413291441, -0.23606219738271209, -0.2915017119413542, -0.03609974205028266, -0.2918325732011468, -0.10183118895116833, 0.15740320304664032, 0.14928134858247735, 0.08394541112225383, 0.10157573343284669, -0.05383834599201838, -0.12378110398628539, -0.1729338305022177, 0.34811094185082064, 0.026009975316663905, 0.21864603790304354, 0.10348618601358706, 0.05523540235064443, 0.20839463852556242, -0.029233138997017617, 0.017222491535170366, -0.08939324412119365, 0.07396731551195826, 0.22809003722936577, -0.04640450752190044, 0.20936439504786844, -0.4595180391183784, -0.23381278265808378, -0.0008052278858339114, 0.1753625930061624, 0.16560029049193667, -0.05289758438800251, -0.28913948699201064, -0.03469099752950452, -0.2257434550011831, -0.15278184861545602, -0.18605909747402033, 0.018017771098041726, -0.00969054201437581, -0.3183326340400644, 0.11108613425805684, -0.05778791010379791, 0.01048705290281026, -0.1641308316555355, -0.13149488581374527, 0.005844070260683375, 0.024093043538854428, 0.026057723462731847, 0.06481605921796854, 0.12983847920212052, -0.10003403215218455, -0.07061980432650496, 0.40680081433346194, -0.05868128862892909, -0.24581994801748455, 0.1524639326643439, -0.05848657390132787, -0.04704293644716663, 0.1777781975725966, 0.1380978692623396, 0.1282131414590103, -0.20678070004308416, 0.1683345699866843, 0.01223928235553866, 0.10738229964889827, 0.05266627094768468, -0.017654121162429932, 0.09920929204071721, 0.2197947012440812, -0.035769191810921315, 0.06685557238937866, -0.1270076178855473, -0.14210796984092844, -0.2946977522224188, -0.024519130005266503, -0.23150594271306368, 0.03218751627531263, -0.08892036144454558, -0.1386551832509858, 0.3286841623607137, 0.10166025471933667, 0.17524394796289985, -0.0025371176344642955, 0.32499739317403686, 0.17411799570583109, 0.09318595545201172, 0.015317757050656983, 0.273245970192816, 0.1896904716643715, 0.05391822540531716, -0.3281819726220302, -0.020107311001347918, 0.1417099113966669] |
712.1293 | Interplay between carrier localization and magnetism in diluted magnetic
and ferromagnetic semiconductors | The presence of localized spins exerts a strong influence on quantum
localization in doped semiconductors. At the same time carrier-mediated
interactions between the localized spins are modified or even halted by
carriers' localization. The interplay of these effects is discussed for II-VI
and III-V diluted magnetic semiconductors. This insight is exploited to
interpret the complex dependence of resistance on temperature, magnetic field,
and concentration of valence-band holes in (Ga,Mn)As. In particular, high field
negative magnetoresistance results from the orbital weak localization effect.
The resistance maximum and the associated negative magnetoresistance near the
Curie temperature are assigned to the destructive influence of preformed
ferromagnetic bubbles on the "antilocalization" effect driven by
disorder-modified carrier-carrier interactions. These interactions account also
for the low-temperature increase of resistance. Furthermore, the sensitivity of
conductance to spin splitting and to scattering by spin disorder may explain
resistance anomalies at coercive fields, where relative directions of external
and molecular fields change.
| cond-mat.dis-nn cond-mat.mtrl-sci | the presence of localized spins exerts a strong influence on quantum localization in doped semiconductors at the same time carriermediated interactions between the localized spins are modified or even halted by carriers localization the interplay of these effects is discussed for iivi and iiiv diluted magnetic semiconductors this insight is exploited to interpret the complex dependence of resistance on temperature magnetic field and concentration of valenceband holes in gamnas in particular high field negative magnetoresistance results from the orbital weak localization effect the resistance maximum and the associated negative magnetoresistance near the curie temperature are assigned to the destructive influence of preformed ferromagnetic bubbles on the antilocalization effect driven by disordermodified carriercarrier interactions these interactions account also for the lowtemperature increase of resistance furthermore the sensitivity of conductance to spin splitting and to scattering by spin disorder may explain resistance anomalies at coercive fields where relative directions of external and molecular fields change | [['the', 'presence', 'of', 'localized', 'spins', 'exerts', 'a', 'strong', 'influence', 'on', 'quantum', 'localization', 'in', 'doped', 'semiconductors', 'at', 'the', 'same', 'time', 'carriermediated', 'interactions', 'between', 'the', 'localized', 'spins', 'are', 'modified', 'or', 'even', 'halted', 'by', 'carriers', 'localization', 'the', 'interplay', 'of', 'these', 'effects', 'is', 'discussed', 'for', 'iivi', 'and', 'iiiv', 'diluted', 'magnetic', 'semiconductors', 'this', 'insight', 'is', 'exploited', 'to', 'interpret', 'the', 'complex', 'dependence', 'of', 'resistance', 'on', 'temperature', 'magnetic', 'field', 'and', 'concentration', 'of', 'valenceband', 'holes', 'in', 'gamnas', 'in', 'particular', 'high', 'field', 'negative', 'magnetoresistance', 'results', 'from', 'the', 'orbital', 'weak', 'localization', 'effect', 'the', 'resistance', 'maximum', 'and', 'the', 'associated', 'negative', 'magnetoresistance', 'near', 'the', 'curie', 'temperature', 'are', 'assigned', 'to', 'the', 'destructive', 'influence', 'of', 'preformed', 'ferromagnetic', 'bubbles', 'on', 'the', 'antilocalization', 'effect', 'driven', 'by', 'disordermodified', 'carriercarrier', 'interactions', 'these', 'interactions', 'account', 'also', 'for', 'the', 'lowtemperature', 'increase', 'of', 'resistance', 'furthermore', 'the', 'sensitivity', 'of', 'conductance', 'to', 'spin', 'splitting', 'and', 'to', 'scattering', 'by', 'spin', 'disorder', 'may', 'explain', 'resistance', 'anomalies', 'at', 'coercive', 'fields', 'where', 'relative', 'directions', 'of', 'external', 'and', 'molecular', 'fields', 'change']] | [-0.19410764950474627, 0.2433078883761099, 0.014099180533345421, 0.07096587520438909, -0.031800928341812994, -0.15449128865178577, 0.055854034248209485, 0.37803902225813973, -0.2757389094729565, -0.30520864202959563, -0.023560928311781026, -0.33520561137457233, -0.1271884792046254, 0.18744753955979832, 0.05275965787739934, -0.05270675257289488, -0.04157443648191953, -0.020087726058830555, -0.06668424282351655, -0.22712615297074845, 0.29874753781366864, 0.05220160903608255, 0.3102983579860608, 0.16767963481221446, 0.02803729992133173, 0.0440004847146874, 0.12495381833133778, 0.09721133440708447, -0.10082893721387097, 0.03424487786833197, 0.22364961976602085, -0.16744898011721057, 0.20464514017007068, -0.46575812903526975, -0.21155813957815744, 0.011929738421091124, 0.13604646674158224, 0.15910939900143267, -0.09561441775019232, -0.30931681545916945, 0.04216938969483109, -0.09255073087191895, -0.10319112449513723, -0.07098400563393768, 0.007109000713650235, 0.004445980119175817, -0.2575241161240755, 0.16338769251332882, 0.08019539205945062, 0.10534942147052406, -0.11260535977290649, -0.1025191455877288, -0.06642911405498653, 0.08825557163493757, 0.10554215173224772, 0.023385343628960026, 0.22513766387189543, -0.12556509932772697, -0.14193181630444565, 0.28977032836011957, -0.0668280937794694, -0.09296705569814596, 0.19825817934102624, -0.2304169382918381, -0.03987008836855622, 0.18331759626897492, 0.1790887154087326, 0.09307851233844351, -0.12905786742722788, 0.08503869597265484, 0.07599162163617286, 0.13492340681535242, 0.06191916833631694, 0.10782678574201111, 0.30048157658280905, 0.14688544844255758, 0.03454436736769582, 0.11525768780694834, -0.13519090547197266, -0.04224097646013098, -0.19141421063288458, -0.14404403948911318, -0.2209651882417108, 0.11889248732691876, -0.09627512006935783, -0.19404791561445514, 0.3870542900220148, 0.1954183379152949, 0.16733401091034084, -0.06865360009434976, 0.2432208494142766, 0.11297936186096386, 0.08880649026066653, -0.004389295038938718, 0.28302044468766424, 0.23178403073229434, 0.13782638607019754, -0.36615456152848264, 0.13383254968548977, -0.025519541012104845] |
712.1294 | Forward virtual Compton scattering and the Lamb shift in chiral
perturbation theory | We compute the spin-independent structure functions of the forward
virtual-photon Compton tensor of the proton at one loop using heavy baryon
chiral perturbation theory and dispersion relations. We study the relation
between both approaches. We use these results to generalize some sum rules to
virtual photon transfer momentum and relate them with sum rules in deep
inelastic scattering. We then compute the leading chiral term of the
polarizability correction to the Lamb shift of the hydrogen and muonic
hydrogen. We obtain -87.05/n^3 Hz and -0.148/n^3 meV for the correction to the
hydrogen and muonic hydrogen Lamb shift respectively.
| hep-ph nucl-th physics.atom-ph | we compute the spinindependent structure functions of the forward virtualphoton compton tensor of the proton at one loop using heavy baryon chiral perturbation theory and dispersion relations we study the relation between both approaches we use these results to generalize some sum rules to virtual photon transfer momentum and relate them with sum rules in deep inelastic scattering we then compute the leading chiral term of the polarizability correction to the lamb shift of the hydrogen and muonic hydrogen we obtain 8705n3 hz and 0148n3 mev for the correction to the hydrogen and muonic hydrogen lamb shift respectively | [['we', 'compute', 'the', 'spinindependent', 'structure', 'functions', 'of', 'the', 'forward', 'virtualphoton', 'compton', 'tensor', 'of', 'the', 'proton', 'at', 'one', 'loop', 'using', 'heavy', 'baryon', 'chiral', 'perturbation', 'theory', 'and', 'dispersion', 'relations', 'we', 'study', 'the', 'relation', 'between', 'both', 'approaches', 'we', 'use', 'these', 'results', 'to', 'generalize', 'some', 'sum', 'rules', 'to', 'virtual', 'photon', 'transfer', 'momentum', 'and', 'relate', 'them', 'with', 'sum', 'rules', 'in', 'deep', 'inelastic', 'scattering', 'we', 'then', 'compute', 'the', 'leading', 'chiral', 'term', 'of', 'the', 'polarizability', 'correction', 'to', 'the', 'lamb', 'shift', 'of', 'the', 'hydrogen', 'and', 'muonic', 'hydrogen', 'we', 'obtain', '8705n3', 'hz', 'and', '0148n3', 'mev', 'for', 'the', 'correction', 'to', 'the', 'hydrogen', 'and', 'muonic', 'hydrogen', 'lamb', 'shift', 'respectively']] | [-0.06187107834800069, 0.18264999293508785, -0.0269317180403353, 0.11652411481433471, -0.0681023125498541, -0.07122166548106179, 0.10872641528233846, 0.38290357690614957, -0.2689449731260538, -0.2385986777129195, -0.0553344692173899, -0.3740608209433655, -0.082285084334823, 0.10327832034575597, 0.08766395939649858, 0.044760577777196886, 0.014873650361550972, 0.00990813399645655, -0.1053854543036626, -0.14390206504564654, 0.3641081784977966, 0.05149789218770214, 0.25073001803442213, 0.17959362749388674, 0.06338535504376826, 0.05112694815034047, -0.0624748611250349, -0.06863843331423898, -0.15581747836768045, 0.16292463426240525, 0.22122707811407358, 0.0511978828192999, 0.12871022396575427, -0.4207379456978136, -0.1271712288435083, 0.08380493982501018, 0.09764003683812916, 0.19335713746598535, 0.012329317406207943, -0.2419887572468724, 0.015690531106277678, -0.2530290410213638, -0.13602706655607713, -0.1487560235497464, 0.019447627884801477, -0.009652829634433147, -0.24520678747952238, 0.0796834311040584, -0.036831233475822955, -0.03101200093321192, -0.10405181191648201, -0.18437830003676936, 0.008006292477754565, 0.10899216675412997, 0.06635834946064278, 0.013441296922489224, 0.15720337003100818, -0.12260816275860027, -0.10170274517440703, 0.42959645109173533, -0.12512222907389514, -0.13595245491402844, 0.07288881601804557, -0.17141886641426632, -0.11239344488906984, 0.12328425338879849, 0.14716733491513878, 0.07411077709730307, -0.10475798715742712, 0.05116226739179789, 0.016532140609342605, 0.15484209082933376, 0.16556793990700194, 0.04475339559940039, 0.16567601500234255, 0.0889455028542822, 0.00036814391690616805, 0.07501769433292793, -0.14078692098246393, -0.05407082411693409, -0.3281566486014829, -0.12458549436996691, -0.10012047093672057, 0.062095949930759765, -0.06567691648206164, -0.14481144967915802, 0.30977434634890716, 0.11472503048328993, 0.21404088456256432, 0.04170097598641102, 0.37019428246033687, 0.1945356698318695, 0.09867628660867922, 0.025931664553354494, 0.2992279319651061, 0.2680557759255559, 0.09873285932311167, -0.3306245969918867, -0.03762729584074501, 0.10147301625208154] |
712.1295 | The Walsh model for $M_2^{*}$ Carleson | We study the Walsh model of a certain maximal truncation of Carleson's
operator, related to the Return Times Theorem from Ergodic Theory.
| math.CA | we study the walsh model of a certain maximal truncation of carlesons operator related to the return times theorem from ergodic theory | [['we', 'study', 'the', 'walsh', 'model', 'of', 'a', 'certain', 'maximal', 'truncation', 'of', 'carlesons', 'operator', 'related', 'to', 'the', 'return', 'times', 'theorem', 'from', 'ergodic', 'theory']] | [-0.12752449070103467, 0.09367942831225017, -0.13599357999522577, 0.1224072885445573, 0.00957783976231109, -0.1146634467242455, 0.11355942176041109, 0.23392781251194802, -0.3098069845952771, -0.13906411013819955, 0.18423747866075824, -0.2699508460407907, -0.18903713275424458, 0.2052565680880269, -0.1715304643677717, 0.08975149176760831, 0.022630582394247704, 0.09094003765759143, -0.1409923027862202, -0.20808813704008405, 0.2922215635930611, 0.03872827317735011, 0.22756806358864362, 0.06394718545065685, 0.1079581023447893, 0.02139578950168057, -0.11372094254263422, -0.0898570806126703, -0.20462052164260636, 0.16689925661987878, 0.19731231694194404, 0.12218172903257338, 0.27303307118232956, -0.37180667506022885, -0.13806473748462106, 0.18156135954301467, 0.054781121434643865, 0.010795006062835455, 0.04560967560180209, -0.2814989266070453, 0.08087099131874063, -0.21515278513966637, -0.21744772173802962, -0.03458552358841354, -0.033478361284571954, 0.0373151312391697, -0.32263267548246816, 0.13134095800871198, 0.18672256137837062, 0.029563890320291233, -0.1149220010265708, -0.035847515439275994, -0.004603028805418448, 0.08406497675671497, 0.11479696453104472, 0.05551457492930984, 0.0996622836259617, -0.04450851602649147, -0.14517425931990147, 0.31306597285649995, -0.08568740847774527, -0.20069780471650037, 0.11930902856825427, -0.22851920432665132, -0.10749187813648446, 0.10344606276008893, 0.1482784582132643, 0.14944799142805013, -0.13584608567709272, 0.17437015693973412, -0.17000058327208867, 0.1017198424616998, 0.10718286536972631, 0.08059067130935463, 0.09433823633431034, 0.05265729662708261, 0.16190451883118262, 0.15043666670945557, 0.034874673932790756, -0.17478687877089463, -0.3222016440704465, -0.11975676325065168, -0.1722320926968347, 0.19384408594024452, -0.15886125178076327, -0.22084161317483944, 0.42635883670300245, 0.1817597844426266, 0.14385196177119558, 0.12955174159089272, 0.17560389430516146, 0.2295105572874573, 0.03380460347133604, 0.03687596558169885, 0.09073661790568043, 0.23327097817408768, 0.01675059883431955, -0.20783748239575123, -0.030415941707112572, 0.27330480041829025] |
712.1296 | A generalization of inversion formulas of Pestov and Uhlmann | In this note, we give a generalization of the inversion formulas of
Pestov-Uhlmann for the geodesic ray transform of functions and vector fields on
simple 2-dimensional manifolds of constant curvature. The inversion formulas
given here hold for 2-dimensional simple manifolds whose curvatures close to a
constant.
| math.DG math.CA | in this note we give a generalization of the inversion formulas of pestovuhlmann for the geodesic ray transform of functions and vector fields on simple 2dimensional manifolds of constant curvature the inversion formulas given here hold for 2dimensional simple manifolds whose curvatures close to a constant | [['in', 'this', 'note', 'we', 'give', 'a', 'generalization', 'of', 'the', 'inversion', 'formulas', 'of', 'pestovuhlmann', 'for', 'the', 'geodesic', 'ray', 'transform', 'of', 'functions', 'and', 'vector', 'fields', 'on', 'simple', '2dimensional', 'manifolds', 'of', 'constant', 'curvature', 'the', 'inversion', 'formulas', 'given', 'here', 'hold', 'for', '2dimensional', 'simple', 'manifolds', 'whose', 'curvatures', 'close', 'to', 'a', 'constant']] | [-0.14700992587629869, 0.09923366892515965, -0.050938485068795475, 0.11883887343624931, -0.13797868245645709, -0.13426463360614752, 0.01656942463571044, 0.3619338354986647, -0.26054299622774124, -0.20462339523288867, 0.09411735119773885, -0.2194168215981968, -0.20249673631042242, 0.23641620317231055, -0.0949720967954541, 0.03122803648053061, -0.0011584552247887073, 0.07949302768658685, -0.14190754879508977, -0.22453122529322686, 0.3862485021312276, 0.005893768094803976, 0.21363762870390454, 0.08897358634630623, 0.17160515486181754, 0.009403933497631679, 1.9218114650119905e-05, -0.0011004598446838233, -0.23091824300101269, 0.15186644159257412, 0.19707470166537425, 0.04492626880781482, 0.12757699043773438, -0.425730277824661, -0.18915371536074774, 0.15411115314244575, 0.10147239250616859, 0.07289893512168656, -0.076079490222543, -0.24454466038909944, 0.06541059685506574, -0.0333398825124554, -0.20704230058776296, -0.09696881282750679, 0.04852947914648963, 0.025422194132419383, -0.21701903495451677, 0.052325603815362505, 0.15498763214766412, 0.11697263481334591, -0.11556293132320128, -0.1185326914343497, 0.05222553116492117, 0.07584054389482607, 0.039693514411540134, 0.02971851721446475, 0.03347896376584211, -0.056968586433314435, -0.10151486240489327, 0.3730956293925967, -0.0916823539275514, -0.3319035559568716, 0.06559697878369859, -0.13751088402679432, -0.15468045198561056, 0.12378135129161504, 0.17392071428627748, 0.19464212684365717, -0.07981017958777754, 0.16724288214438432, -0.0788662966300288, 0.02393833446599867, 0.12343417974593847, -0.0371518487961072, 0.1596846437567602, 0.006041942953901446, 0.11604001518824826, 0.14100208162816, -0.0380009988312731, -0.06395263718846052, -0.38446112268644833, -0.2503533730202395, -0.20434609731740278, 0.15584081895244511, -0.1620232379895954, -0.2644211792630022, 0.41117165934132494, -0.004377030565038971, 0.22400748916982632, 0.18888216552770007, 0.2606684595913343, 0.1271216065582374, 0.04816522466464211, 0.08495956485200187, 0.1759499029620834, 0.244959211503358, 0.04201386280803253, -0.10351156360601359, -0.054011456060992634, 0.14447575183990208] |
712.1297 | The Structure of the Local Supercluster of Galaxies Revealed by the
Three-Dimensional Voronoi's Tessellation Method | 3D Voronoi's tessellation method was first applied to identify groups of
galaxies in the structure of a supercluster. The sample under consideration
consists of more than 7000 galaxies of the Local Supercluster (LS) with radial
velocities up to 3100 km/s. Because of an essential non-homogeneity of the LS
catalogue, it was proposed to overscale distances in such an ''artificial'' way
that the concentration of galaxies was varying as with increase of the distance
a power-behaved function with the same exponent beta as for the full
homogeneous catalogue. Various parameters of clustering were taking into
account: alpha (0.01, 0.1, 1%) as the part of galaxies, which have the relative
volume of a Voronoi's cell smaller than the critical one for the random
distribution; beta = 0, which fits to the random galaxy distribution; beta =
0.7, which is close to the pancake galaxy distribution. It is revealed that
Voronoi's tessellation method depends weakly on beta-parameter, and the number
of galaxies in rich structures is growing rather than in poor ones with
increase of alpha-parameter. The comparison of the groups derived with the
groups obtained by Karachentsev's dynamical method shows that the number of
groups, which coincides by all the components, is 22%. As a whole, the
dynamical method is more preferred for identifying sparsely populated galaxy
groups, whereas 3D Voronoi's tessellation method is preferred for more
populated ones.
| astro-ph | 3d voronois tessellation method was first applied to identify groups of galaxies in the structure of a supercluster the sample under consideration consists of more than 7000 galaxies of the local supercluster ls with radial velocities up to 3100 kms because of an essential nonhomogeneity of the ls catalogue it was proposed to overscale distances in such an artificial way that the concentration of galaxies was varying as with increase of the distance a powerbehaved function with the same exponent beta as for the full homogeneous catalogue various parameters of clustering were taking into account alpha 001 01 1 as the part of galaxies which have the relative volume of a voronois cell smaller than the critical one for the random distribution beta 0 which fits to the random galaxy distribution beta 07 which is close to the pancake galaxy distribution it is revealed that voronois tessellation method depends weakly on betaparameter and the number of galaxies in rich structures is growing rather than in poor ones with increase of alphaparameter the comparison of the groups derived with the groups obtained by karachentsevs dynamical method shows that the number of groups which coincides by all the components is 22 as a whole the dynamical method is more preferred for identifying sparsely populated galaxy groups whereas 3d voronois tessellation method is preferred for more populated ones | [['3d', 'voronois', 'tessellation', 'method', 'was', 'first', 'applied', 'to', 'identify', 'groups', 'of', 'galaxies', 'in', 'the', 'structure', 'of', 'a', 'supercluster', 'the', 'sample', 'under', 'consideration', 'consists', 'of', 'more', 'than', '7000', 'galaxies', 'of', 'the', 'local', 'supercluster', 'ls', 'with', 'radial', 'velocities', 'up', 'to', '3100', 'kms', 'because', 'of', 'an', 'essential', 'nonhomogeneity', 'of', 'the', 'ls', 'catalogue', 'it', 'was', 'proposed', 'to', 'overscale', 'distances', 'in', 'such', 'an', 'artificial', 'way', 'that', 'the', 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712.1298 | On the classification of gradient Ricci solitons | We show that the only complete shrinking gradient Ricci solitons with
vanishing Weyl tensor are quotients of the standard ones. This gives a new
proof of the Hamilton-Ivey-Perel'man classification of 3-dimensional shrinking
gradient solitons. We also prove a classification for expanding gradient Ricci
solitons with constant scalar curvature and suitably decaying Weyl tensor.
| math.DG | we show that the only complete shrinking gradient ricci solitons with vanishing weyl tensor are quotients of the standard ones this gives a new proof of the hamiltoniveyperelman classification of 3dimensional shrinking gradient solitons we also prove a classification for expanding gradient ricci solitons with constant scalar curvature and suitably decaying weyl tensor | [['we', 'show', 'that', 'the', 'only', 'complete', 'shrinking', 'gradient', 'ricci', 'solitons', 'with', 'vanishing', 'weyl', 'tensor', 'are', 'quotients', 'of', 'the', 'standard', 'ones', 'this', 'gives', 'a', 'new', 'proof', 'of', 'the', 'hamiltoniveyperelman', 'classification', 'of', '3dimensional', 'shrinking', 'gradient', 'solitons', 'we', 'also', 'prove', 'a', 'classification', 'for', 'expanding', 'gradient', 'ricci', 'solitons', 'with', 'constant', 'scalar', 'curvature', 'and', 'suitably', 'decaying', 'weyl', 'tensor']] | [-0.21375478150394672, 0.14919778778074452, -0.11726247390302327, 0.04247678627143614, -0.18842714994501036, -0.20674037741712079, -0.12538328799060905, 0.3723296407574358, -0.25323249113101226, -0.13130919732010135, 0.12099026027135551, -0.2744422395928548, -0.13507303717331245, 0.10701920374636896, -0.04209897199717279, -0.013311295573098155, 0.08824477681460288, 0.1152600314683066, -0.11330046036835903, -0.30711872334806967, 0.42037381647297967, -0.04218622870170153, 0.28047965219817483, 0.11303045557668576, 0.11987819476053119, -0.10321705694346187, 0.006968066526147036, 0.04862027049351197, -0.1856872576627211, 0.1177807892851818, 0.1519846519222483, 0.022946685413794164, 0.2328768758676373, -0.3555938108609273, -0.26901024497615605, 0.20125176411910126, 0.20309899159026548, 0.1447743584277095, -0.12561140786587763, -0.3376639011459282, 0.13297459304046172, -0.12833218469929236, -0.1634327847613559, -0.17060871296920455, -0.034200548015248314, 0.0557109616840115, -0.18453404687058467, 0.14363483988283685, 0.1535042146435724, 0.014751940034329891, -0.12187158193242234, -0.08429605132327057, -0.07736856626489988, -0.008301996446859378, 0.09470832460703185, 0.010633998935540708, 0.07705018552951515, -0.13773587545326266, -0.07888221581547092, 0.3001490979670332, -0.24753432556127125, -0.2510214725580926, 0.09152843753466956, -0.038592004378397875, -0.055388678778679326, 0.07579980964342561, 0.17065109717301452, 0.19098831756183735, -0.010934614298793558, 0.1041357487231905, -0.040950374212116, 0.05625257161087715, 0.13036378864378023, -0.029180173681547437, 0.1546537703834474, 0.08446641047843374, 0.18847527340627634, 0.16098547037332678, 0.001768335628394897, -0.10527350089082924, -0.4337785237540419, -0.24557804067332584, -0.19026961132812387, 0.14108938473061874, -0.22571000920652295, -0.23374575730905725, 0.44385434751613784, -0.06453807129023167, 0.236689715612626, 0.1756003539507779, 0.2642725259065628, 0.05112095886411575, 0.09394818937961155, 0.1929145305453298, 0.2963150426109608, 0.2359999127757664, 0.12370603733982605, -0.13958005781751126, -0.14848143379024875, 0.2075390186644374] |
712.1299 | Stability of strong ideal-gas shock layers | Extending recent results in the isentropic case, we use a combination of
asymptotic ODE estimates and numerical Evans-function computations to examine
the spectral stability of shock-wave solutions of the compressible
Navier--Stokes equations with ideal gas equation of state. Our main results are
that, in appropriately rescaled coordinates, the Evans function associated with
the linearized operator about the wave (i) converges in the large-amplitude
limit to the Evans function for a limiting shock profile of the same equations,
for which internal energy vanishes at one endstate; and (ii) has no unstable
(positive real part) zeros outside a uniform ball $|\lambda|\le \Lambda$. Thus,
the rescaled eigenvalue ODE for the set of all shock waves, augmented with the
(nonphysical) limiting case, form a compact family of boundary-value problems
that can be conveniently investigated numerically. An extensive numerical
Evans-function study yields one-dimensional spectral stability, independent of
amplitude, for gas constant $\gamma$ in $[1.2, 3]$ and ratio $\nu/\mu$ of heat
conduction to viscosity coefficient within $[0.2,5]$ ($\gamma\approx 1.4$,
$\nu/\mu\approx 1.47$ for air). Other values may be treated similarly but were
not considered. The method of analysis extends also to the multi-dimensional
case, a direction that we shall pursue in a future work.
| math-ph math.MP | extending recent results in the isentropic case we use a combination of asymptotic ode estimates and numerical evansfunction computations to examine the spectral stability of shockwave solutions of the compressible navierstokes equations with ideal gas equation of state our main results are that in appropriately rescaled coordinates the evans function associated with the linearized operator about the wave i converges in the largeamplitude limit to the evans function for a limiting shock profile of the same equations for which internal energy vanishes at one endstate and ii has no unstable positive real part zeros outside a uniform ball lambdale lambda thus the rescaled eigenvalue ode for the set of all shock waves augmented with the nonphysical limiting case form a compact family of boundaryvalue problems that can be conveniently investigated numerically an extensive numerical evansfunction study yields onedimensional spectral stability independent of amplitude for gas constant gamma in 12 3 and ratio numu of heat conduction to viscosity coefficient within 025 gammaapprox 14 numuapprox 147 for air other values may be treated similarly but were not considered the method of analysis extends also to the multidimensional case a direction that we shall pursue in a future work | [['extending', 'recent', 'results', 'in', 'the', 'isentropic', 'case', 'we', 'use', 'a', 'combination', 'of', 'asymptotic', 'ode', 'estimates', 'and', 'numerical', 'evansfunction', 'computations', 'to', 'examine', 'the', 'spectral', 'stability', 'of', 'shockwave', 'solutions', 'of', 'the', 'compressible', 'navierstokes', 'equations', 'with', 'ideal', 'gas', 'equation', 'of', 'state', 'our', 'main', 'results', 'are', 'that', 'in', 'appropriately', 'rescaled', 'coordinates', 'the', 'evans', 'function', 'associated', 'with', 'the', 'linearized', 'operator', 'about', 'the', 'wave', 'i', 'converges', 'in', 'the', 'largeamplitude', 'limit', 'to', 'the', 'evans', 'function', 'for', 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712.13 | Equidistribution of Horocyclic Flows on Complete Hyperbolic Surfaces of
Finite Area | We provide a self-contained, accessible introduction to Ratner's
Equidistribution Theorem in the special case of horocyclic flow on a complete
hyperbolic surface of finite area. This equidistribution result was first
obtained in the early 1980s by Dani and Smillie and later reappeared as an
illustrative special case of Ratner's work on the equidistribution of unipotent
flows in homogeneous spaces. We also prove an interesting probabilistic result
due to Breuillard: on the modular surface an arbitrary uncentered random walk
on the horocycle through almost any point will fail to equidistribute, even
though the horocycles are themselves equidistributed. In many aspects of this
exposition we are indebted to Bekka and Mayer's more ambitious survey, "Ergodic
Theory and Topological Dynamics for Group Actions on Homogeneous Spaces."
| math.DS math.PR | we provide a selfcontained accessible introduction to ratners equidistribution theorem in the special case of horocyclic flow on a complete hyperbolic surface of finite area this equidistribution result was first obtained in the early 1980s by dani and smillie and later reappeared as an illustrative special case of ratners work on the equidistribution of unipotent flows in homogeneous spaces we also prove an interesting probabilistic result due to breuillard on the modular surface an arbitrary uncentered random walk on the horocycle through almost any point will fail to equidistribute even though the horocycles are themselves equidistributed in many aspects of this exposition we are indebted to bekka and mayers more ambitious survey ergodic theory and topological dynamics for group actions on homogeneous spaces | [['we', 'provide', 'a', 'selfcontained', 'accessible', 'introduction', 'to', 'ratners', 'equidistribution', 'theorem', 'in', 'the', 'special', 'case', 'of', 'horocyclic', 'flow', 'on', 'a', 'complete', 'hyperbolic', 'surface', 'of', 'finite', 'area', 'this', 'equidistribution', 'result', 'was', 'first', 'obtained', 'in', 'the', 'early', '1980s', 'by', 'dani', 'and', 'smillie', 'and', 'later', 'reappeared', 'as', 'an', 'illustrative', 'special', 'case', 'of', 'ratners', 'work', 'on', 'the', 'equidistribution', 'of', 'unipotent', 'flows', 'in', 'homogeneous', 'spaces', 'we', 'also', 'prove', 'an', 'interesting', 'probabilistic', 'result', 'due', 'to', 'breuillard', 'on', 'the', 'modular', 'surface', 'an', 'arbitrary', 'uncentered', 'random', 'walk', 'on', 'the', 'horocycle', 'through', 'almost', 'any', 'point', 'will', 'fail', 'to', 'equidistribute', 'even', 'though', 'the', 'horocycles', 'are', 'themselves', 'equidistributed', 'in', 'many', 'aspects', 'of', 'this', 'exposition', 'we', 'are', 'indebted', 'to', 'bekka', 'and', 'mayers', 'more', 'ambitious', 'survey', 'ergodic', 'theory', 'and', 'topological', 'dynamics', 'for', 'group', 'actions', 'on', 'homogeneous', 'spaces']] | [-0.16224381968859825, 0.1103368517662336, -0.1468523575553322, 0.10384644402713492, -0.09247069563565215, -0.10709222281972568, 0.01367083213356422, 0.3418428139776234, -0.23633612956988012, -0.19965541555084348, 0.17090877803511978, -0.2628367502749632, -0.17617363213538761, 0.2641457734568938, -0.1980689788100923, 0.028962806909254228, 0.06762267605257713, 0.05443764310845976, -0.05728481175203815, -0.3198253594838628, 0.339136018936439, 0.043417683045372246, 0.23818579023870512, 0.07907854888694195, 0.0458067486978825, 0.07647916581860281, -0.06630586590845047, -0.026913424855385854, -0.1868284887490355, 0.125908924349985, 0.2794825679138, 0.04446198721984174, 0.2423694475943874, -0.3971223894589982, -0.1639385589756208, 0.1255952362274009, 0.1484963222808106, 0.06738553094730629, -0.03681546356872091, -0.32644101860365127, 0.055289641071898425, -0.13357438458266055, -0.18142912581154122, -0.09090094286494138, 0.04834800892191508, 0.028134895657090757, -0.17755298455041357, 0.002508880333677767, 0.16694599667912333, 0.15591089591399077, -0.055523242967296015, -0.07553785022847899, -0.008503451172027707, 0.1217604678775358, 0.036446715027427044, 0.05173662269291112, 0.08170935100254913, -0.03707744852389868, -0.07963948617348583, 0.36613478630448015, -0.06868548847818218, -0.18314777718993222, 0.1854638169194019, -0.15425207703355398, -0.2142862933479643, 0.10500736001782437, 0.17495785795939647, 0.15456492920610598, -0.06820455444143797, 0.13065465119273623, -0.13258790303536547, 0.044323677619695814, 0.11244808517517597, -0.019833258860479524, 0.11780089000997142, 0.08474955744132763, 0.15699489665647393, 0.1256096810509443, 0.04859661896395066, -0.09026802281519716, -0.323184586675247, -0.17325813265714218, -0.15213302523654892, 0.15260850245746352, -0.08777012868653755, -0.19933897923068636, 0.34660646719176597, 0.08297990786850573, 0.1556184208493801, 0.11025710435152598, 0.22435489997676597, 0.048670810118707546, -0.023265029968621922, 0.06981270722628427, 0.14448971959537016, 0.20604675285313734, 0.05661121553294664, -0.10112967859665917, -0.0038798127713333057, 0.19384637383395822] |
712.1301 | The maximum spectral radius of C_4-free graphs of given order and size | Let G be a graph of n vertices and m edges, and let G has no cycles of length
4. We give upper bounds on the adjacency spectral radius of G in terms of n and
m.
| math.CO | let g be a graph of n vertices and m edges and let g has no cycles of length 4 we give upper bounds on the adjacency spectral radius of g in terms of n and m | [['let', 'g', 'be', 'a', 'graph', 'of', 'n', 'vertices', 'and', 'm', 'edges', 'and', 'let', 'g', 'has', 'no', 'cycles', 'of', 'length', '4', 'we', 'give', 'upper', 'bounds', 'on', 'the', 'adjacency', 'spectral', 'radius', 'of', 'g', 'in', 'terms', 'of', 'n', 'and', 'm']] | [-0.27291826289650556, 0.1666898340037143, -0.058072356192546117, -0.07530725178484982, -0.06602837724258771, -0.14019778832742893, 0.06081300873208691, 0.35288840554956646, -0.15500616939184633, -0.42278790443732933, 0.0539899109453718, -0.3317709842545761, -0.08699611268585196, 0.10815891481910807, -0.08447065916717858, -0.10527431451388307, 0.12083834061097051, 0.20752419809483597, -0.022126266405590483, -0.2618272637899625, 0.2424250587795836, -0.041774240744023305, 0.06615693625251486, 0.10120700737713156, 0.03395176096190069, 0.04525598577802648, 0.007605160158630964, 0.05253039344490783, -0.2584566749582017, 0.09876251359142967, 0.26196126176698786, 0.13699249343040423, 0.22090088241305705, -0.42341406703800766, -0.15645278739818447, 0.2996077036132684, 0.1681099289247917, -0.1636837200588874, 0.10979845159296953, -0.18967484541841456, 0.1994436547109807, -0.05075043817428318, -0.07599019762632009, 0.06700406626269624, 0.2708771017354888, -0.02189648971968406, -0.31098605991920103, -0.06160036280650545, 0.11714430520864758, 0.08324675633795434, 0.12459996914037981, -0.25455399280464325, -0.08871713220267682, 0.10028567606885289, -0.09618487732635962, 0.0659847251592657, 0.021475074422621244, -0.03369273809162346, -0.1311484348733683, 0.351955306993143, -0.16100550291908755, -0.12283399055485388, 0.05682330487950428, -0.1990363640786224, -0.07289693826759183, 0.09718837845768477, 0.17013552545796376, 0.18752530010769497, 0.0013342882582062, 0.2627929909157919, -0.1343962031234106, 0.13185258184534474, 0.12202596040190877, 0.04143081457870131, 0.14439505962906657, 0.09711162610659124, 0.19934369696656595, 0.1322126349000059, -0.014485346474307211, 0.20349552401819745, -0.33581837770101186, -0.07532081158982741, -0.2665617613977677, 0.19831233300470016, -0.28211826666115114, -0.1539661907181899, 0.38759416049799406, 0.03554585105361971, 0.2637328931910766, 0.140043323733718, 0.16088425509027532, 0.08299279489831345, 0.025645026748345512, 0.2191305179023058, 0.008006402845116885, 0.3145807211167758, -0.1148786832628822, -0.18629373302934943, 0.011236986390793242, 0.21984025168962576] |
712.1302 | Spectrum of the product of Toeplitz matrices with application in
probability | We study the spectrum of the product of two Toeplitz operators. Assume that
the symbols of these operators are continuous and real-valued and that one of
them is non-negative. We prove that the spectrum of the product of finite
section Toeplitz matrices converges to the spectrum of the product of the
semi-infinite Toeplitz operators. We give an example showing that the supremum
of this set is not always the supremum of the product of the two symbols.
Finally, we provide an application in probability which is the first motivation
of this study. More precisely, we obtain a large deviation principle for
Gaussian quadratic forms.
| math.FA math.PR | we study the spectrum of the product of two toeplitz operators assume that the symbols of these operators are continuous and realvalued and that one of them is nonnegative we prove that the spectrum of the product of finite section toeplitz matrices converges to the spectrum of the product of the semiinfinite toeplitz operators we give an example showing that the supremum of this set is not always the supremum of the product of the two symbols finally we provide an application in probability which is the first motivation of this study more precisely we obtain a large deviation principle for gaussian quadratic forms | [['we', 'study', 'the', 'spectrum', 'of', 'the', 'product', 'of', 'two', 'toeplitz', 'operators', 'assume', 'that', 'the', 'symbols', 'of', 'these', 'operators', 'are', 'continuous', 'and', 'realvalued', 'and', 'that', 'one', 'of', 'them', 'is', 'nonnegative', 'we', 'prove', 'that', 'the', 'spectrum', 'of', 'the', 'product', 'of', 'finite', 'section', 'toeplitz', 'matrices', 'converges', 'to', 'the', 'spectrum', 'of', 'the', 'product', 'of', 'the', 'semiinfinite', 'toeplitz', 'operators', 'we', 'give', 'an', 'example', 'showing', 'that', 'the', 'supremum', 'of', 'this', 'set', 'is', 'not', 'always', 'the', 'supremum', 'of', 'the', 'product', 'of', 'the', 'two', 'symbols', 'finally', 'we', 'provide', 'an', 'application', 'in', 'probability', 'which', 'is', 'the', 'first', 'motivation', 'of', 'this', 'study', 'more', 'precisely', 'we', 'obtain', 'a', 'large', 'deviation', 'principle', 'for', 'gaussian', 'quadratic', 'forms']] | [-0.13977724526305862, 0.10388804650938255, -0.060104776438003264, 0.07068146486395002, -0.027233809678224273, -0.0634576154093688, 0.0005823585043589657, 0.34848988871090114, -0.30537143270843303, -0.16354959738852742, 0.1612217584389817, -0.30311092712844795, -0.18451278411353436, 0.1782799893990159, -0.05341765269538602, 0.030898837256245315, 0.06358721408133323, 0.11791895263936916, -0.12015058417231418, -0.25194114530817247, 0.4546112910701105, 0.0095007048579506, 0.20891948611600897, 0.07061492161861119, 0.07809375565445337, 0.01192964017480755, -0.03344143658446578, -0.05321351248914233, -0.10565884622813498, 0.16368662726465397, 0.24002821236633912, 0.16176472335400133, 0.2700147940956343, -0.38885629798572224, -0.12437714631400573, 0.20263553314949745, 0.10338591997368404, 0.04080908275948157, -0.010091136782368547, -0.24970115366606757, 0.107026325235403, -0.21086491386477763, -0.11651877422655861, -0.05879551507174396, 0.0036568169911893513, 0.013425553741399199, -0.3256104019013807, 0.01891036298072252, 0.12692778703953642, 0.017251923304194443, -0.0852187062622621, -0.11857004147784139, 0.004504574093376645, 0.14350348595941725, 0.03813455314957537, -0.05451871105469763, 0.0618354987191896, -0.025167184926641103, -0.10497671628120141, 0.31744563666423065, -0.10026037225851234, -0.2303893078620044, 0.1170197227396644, -0.21342929917423484, -0.12155254740859024, 0.07240529777482152, 0.1454055663019132, 0.15230213666934736, -0.12517662479792938, 0.14585236441052984, -0.1154591346768519, 0.13466632226482034, 0.05287338058517959, 0.06116473865516197, 0.11926503818204555, 0.07594157456724833, 0.1495214614820165, 0.18690659463978732, -0.021869653587670585, -0.07881673586626466, -0.35460666187394124, -0.2176732701191213, -0.21540038133613193, 0.0912968474945396, -0.1365093922982991, -0.23948836393761808, 0.42378392554998684, 0.10036457845350154, 0.2251677123399881, 0.13778631691037355, 0.2569986726067817, 0.20440619986836212, 0.03331079985498665, 0.05232909562675139, 0.15902796960794008, 0.17173201804801536, 0.04177159916322965, -0.14521628127952751, 0.011009007692337036, 0.10354722617194057] |
712.1303 | Aftershock identification | Earthquake aftershock identification is closely related to the question "Are
aftershocks different from the rest of earthquakes?" We give a positive answer
to this question and introduce a general statistical procedure for clustering
analysis of seismicity that can be used, in particular, for aftershock
detection. The proposed approach expands the analysis of Baiesi and Paczuski
[PRE, 69, 066106 (2004)] based on the space-time-magnitude nearest-neighbor
distance $\eta$ between earthquakes. We show that for a homogeneous Poisson
marked point field with exponential marks, the distance $\eta$ has Weibull
distribution, which bridges our results with classical correlation analysis for
unmarked point fields. We introduce a 2D distribution of spatial and temporal
components of $\eta$, which allows us to identify the clustered part of a point
field. The proposed technique is applied to several synthetic seismicity models
and to the observed seismicity of Southern California.
| physics.geo-ph physics.data-an | earthquake aftershock identification is closely related to the question are aftershocks different from the rest of earthquakes we give a positive answer to this question and introduce a general statistical procedure for clustering analysis of seismicity that can be used in particular for aftershock detection the proposed approach expands the analysis of baiesi and paczuski pre 69 066106 2004 based on the spacetimemagnitude nearestneighbor distance eta between earthquakes we show that for a homogeneous poisson marked point field with exponential marks the distance eta has weibull distribution which bridges our results with classical correlation analysis for unmarked point fields we introduce a 2d distribution of spatial and temporal components of eta which allows us to identify the clustered part of a point field the proposed technique is applied to several synthetic seismicity models and to the observed seismicity of southern california | [['earthquake', 'aftershock', 'identification', 'is', 'closely', 'related', 'to', 'the', 'question', 'are', 'aftershocks', 'different', 'from', 'the', 'rest', 'of', 'earthquakes', 'we', 'give', 'a', 'positive', 'answer', 'to', 'this', 'question', 'and', 'introduce', 'a', 'general', 'statistical', 'procedure', 'for', 'clustering', 'analysis', 'of', 'seismicity', 'that', 'can', 'be', 'used', 'in', 'particular', 'for', 'aftershock', 'detection', 'the', 'proposed', 'approach', 'expands', 'the', 'analysis', 'of', 'baiesi', 'and', 'paczuski', 'pre', '69', '066106', '2004', 'based', 'on', 'the', 'spacetimemagnitude', 'nearestneighbor', 'distance', 'eta', 'between', 'earthquakes', 'we', 'show', 'that', 'for', 'a', 'homogeneous', 'poisson', 'marked', 'point', 'field', 'with', 'exponential', 'marks', 'the', 'distance', 'eta', 'has', 'weibull', 'distribution', 'which', 'bridges', 'our', 'results', 'with', 'classical', 'correlation', 'analysis', 'for', 'unmarked', 'point', 'fields', 'we', 'introduce', 'a', '2d', 'distribution', 'of', 'spatial', 'and', 'temporal', 'components', 'of', 'eta', 'which', 'allows', 'us', 'to', 'identify', 'the', 'clustered', 'part', 'of', 'a', 'point', 'field', 'the', 'proposed', 'technique', 'is', 'applied', 'to', 'several', 'synthetic', 'seismicity', 'models', 'and', 'to', 'the', 'observed', 'seismicity', 'of', 'southern', 'california']] | [-0.06876512159921712, 0.07862269859962004, -0.15748012928941652, 0.10608541798064311, -0.05325965026205928, -0.09846912981379483, 0.044387557999425224, 0.3417899686601951, -0.22562042981881997, -0.30041883507971284, 0.07027018148277839, -0.2656778488325989, -0.1757434910940502, 0.1986716389120054, -0.05574148511782074, 0.033771606658421216, 0.05179440502325247, 0.025201577753525415, -0.013146965848214977, -0.22610713250385664, 0.3068236373297924, 0.07187544819798401, 0.315534863396541, 0.00788415238016667, 0.07962593340763835, -0.010275038828407062, -0.08903182220223138, 0.02352695718823041, -0.13792149995576353, 0.11998138073898798, 0.2470467390785743, 0.14257909633845708, 0.2617159933421305, -0.3298671080750956, -0.22143324753671562, 0.1271335635076297, 0.10066648923771844, 0.05219127033944342, 0.002474573416561692, -0.3121645608447867, 0.08244730457797539, -0.13165281854717314, -0.12848562101009403, -0.03282520413505945, 0.06464530990405423, 0.05746905444015702, -0.2991865501879788, 0.12020129124506665, 0.08296947583988336, 0.08462835840626265, -0.0470883042569165, -0.0865482558930132, 0.03199433765655531, 0.13821921585355518, 0.07026293541986901, 0.0440445327921938, 0.12217152671111252, -0.054213266325578525, -0.13096622611762848, 0.3361002919297639, -0.05970537380429266, -0.14478305696422678, 0.2104125351882908, -0.1472467438672944, -0.151232318677973, 0.10069786880011235, 0.19495061557721546, 0.0673173337725909, -0.14207482440464145, 0.0222388635768066, -0.02841570588806979, 0.1349797170077829, 0.08548736470758164, -0.0859153132844656, 0.19789313127641842, 0.1705564003916819, 0.05131889270444144, 0.15344162485579016, -0.2052617528686876, -0.12091343570123728, -0.28743263450786205, -0.1362548363746794, -0.17512325465129755, 0.039064777049356604, -0.11954056485279685, -0.19219479735994296, 0.42219216430144346, 0.18898421025913706, 0.21271896167497464, 0.06210482306108415, 0.20424873693745663, 0.08720374822016913, 0.03529981925761957, 0.08301388932719263, 0.19632208051340883, 0.12383911790152033, 0.1225269291878229, -0.15675235884900626, 0.07145959620611916, 0.06237471703332748] |
712.1304 | Electronic structure of copper intercalated transition metal
dichalcogenides: First-principles calculations | We report first principles calculations, within density functional theory, of
copper intercalated titanium diselenides, CuxTiSe2, for values of x ranging
from 0 to 0.11. The effect of intercalation on the energy bands and densities
of states of the host material is studied in order to better understand the
cause of the superconductivity that was recently observed in these structures.
We find that charge transfer from the copper atoms to the metal dichalcogenide
host layers causes a gradual reduction in the number of holes in the otherwise
semi-metallic pristine TiSe2, thus suppressing the charge density wave
transition at low temperatures, and a corresponding increase in the density of
states at the Fermi level. These effects are probably what drive the
superconducting transition in the intercalated systems.
| cond-mat.supr-con cond-mat.str-el | we report first principles calculations within density functional theory of copper intercalated titanium diselenides cuxtise2 for values of x ranging from 0 to 011 the effect of intercalation on the energy bands and densities of states of the host material is studied in order to better understand the cause of the superconductivity that was recently observed in these structures we find that charge transfer from the copper atoms to the metal dichalcogenide host layers causes a gradual reduction in the number of holes in the otherwise semimetallic pristine tise2 thus suppressing the charge density wave transition at low temperatures and a corresponding increase in the density of states at the fermi level these effects are probably what drive the superconducting transition in the intercalated systems | [['we', 'report', 'first', 'principles', 'calculations', 'within', 'density', 'functional', 'theory', 'of', 'copper', 'intercalated', 'titanium', 'diselenides', 'cuxtise2', 'for', 'values', 'of', 'x', 'ranging', 'from', '0', 'to', '011', 'the', 'effect', 'of', 'intercalation', 'on', 'the', 'energy', 'bands', 'and', 'densities', 'of', 'states', 'of', 'the', 'host', 'material', 'is', 'studied', 'in', 'order', 'to', 'better', 'understand', 'the', 'cause', 'of', 'the', 'superconductivity', 'that', 'was', 'recently', 'observed', 'in', 'these', 'structures', 'we', 'find', 'that', 'charge', 'transfer', 'from', 'the', 'copper', 'atoms', 'to', 'the', 'metal', 'dichalcogenide', 'host', 'layers', 'causes', 'a', 'gradual', 'reduction', 'in', 'the', 'number', 'of', 'holes', 'in', 'the', 'otherwise', 'semimetallic', 'pristine', 'tise2', 'thus', 'suppressing', 'the', 'charge', 'density', 'wave', 'transition', 'at', 'low', 'temperatures', 'and', 'a', 'corresponding', 'increase', 'in', 'the', 'density', 'of', 'states', 'at', 'the', 'fermi', 'level', 'these', 'effects', 'are', 'probably', 'what', 'drive', 'the', 'superconducting', 'transition', 'in', 'the', 'intercalated', 'systems']] | [-0.12479833908937872, 0.2092401040419936, -0.01074094181880355, 0.018860150313936175, 0.052199391217902305, -0.0877928540930152, 0.1400829079216346, 0.3614232880957425, -0.23360197730734944, -0.32765754203498365, -0.013889767186716199, -0.3766685987338424, -0.11694062031060458, 0.10558134544454514, 0.040957397593185306, -0.002648145490209572, -0.05361723656579852, -0.038856734110508113, -0.16786854729801418, -0.19362416294030846, 0.3159791477955878, 0.05174603359820321, 0.3264060452133417, 0.08479612736031412, 0.0036965684667229653, -0.08075976944155991, 0.12748633012548088, -0.007381742238998413, -0.16474532738758715, 0.0679008519751951, 0.2901010165065527, -0.07380102790519595, 0.22924473830312492, -0.4901272214949131, -0.23714656895957886, -0.0069395722299814225, 0.09277965307608246, 0.14683586440607904, -0.09461590846721082, -0.2482660239795223, 0.07459715512860567, -0.15024466877244413, -0.1306729260124266, -0.02859846682706848, 0.02067129161953926, 0.004851135260425508, -0.21249944138526916, 0.12017908826470375, 0.020512946512550114, 0.04562449144240236, -0.12012780978530645, -0.15165796346589924, -0.1310096320360899, 0.06782649940997362, 0.04103569366596639, 0.04450386106246151, 0.18250101106613875, -0.12474144393205643, -0.03530034139379859, 0.3734160616695881, -0.04608881068695336, -0.03781495103240013, 0.18984479753673075, -0.2271907608434558, -0.10280549515411258, 0.2019544991850853, 0.13877075469493866, 0.08486878836154937, -0.09715425707469694, 0.036393428423674774, 0.02132067053404171, 0.18829155377298593, 0.06862335711531341, 0.10654061400517821, 0.2668238519951701, 0.20174604024365544, 0.006695912769064307, 0.08651799923926592, -0.1316781122656539, -0.017491132786497474, -0.20894130815938114, -0.20953473695740105, -0.1903028827216476, 0.05589974716340657, -0.03809475930756889, -0.18618912388384343, 0.3792654911354184, 0.16424396469071506, 0.19527656043320893, -0.079983767259866, 0.21246237743800156, 0.10547123991698026, 0.10522132333368063, 0.023098408479243517, 0.27331211358308793, 0.16774748132564127, 0.08852135436609387, -0.25752623289823534, 0.10032642392069101, 0.006839003341272474] |
712.1305 | Thermal and surface anisotropy effects on the magnetization reversal of
a nanocluster | The relaxation rate and temperature-dependent switching field curve of a
spherical magnetic nanocluster are calculated by taking into account the effect
of surface anisotropy via an effective anisotropy model. In particular, it is
shown that surface anisotropy may change the thermally activated magnetization
reversal by more than an order of magnitude, and that temperature-dependent
switching field curves noticeably deviate from the Stoner-Wohlfarth astroid.
With recent and future $\mu$-SQUID measurements in mind, we indicate how
comparison of our results with experimental data on isolated clusters may allow
one to obtain valuable information on surface anisotropy.
| cond-mat.mtrl-sci cond-mat.stat-mech | the relaxation rate and temperaturedependent switching field curve of a spherical magnetic nanocluster are calculated by taking into account the effect of surface anisotropy via an effective anisotropy model in particular it is shown that surface anisotropy may change the thermally activated magnetization reversal by more than an order of magnitude and that temperaturedependent switching field curves noticeably deviate from the stonerwohlfarth astroid with recent and future musquid measurements in mind we indicate how comparison of our results with experimental data on isolated clusters may allow one to obtain valuable information on surface anisotropy | [['the', 'relaxation', 'rate', 'and', 'temperaturedependent', 'switching', 'field', 'curve', 'of', 'a', 'spherical', 'magnetic', 'nanocluster', 'are', 'calculated', 'by', 'taking', 'into', 'account', 'the', 'effect', 'of', 'surface', 'anisotropy', 'via', 'an', 'effective', 'anisotropy', 'model', 'in', 'particular', 'it', 'is', 'shown', 'that', 'surface', 'anisotropy', 'may', 'change', 'the', 'thermally', 'activated', 'magnetization', 'reversal', 'by', 'more', 'than', 'an', 'order', 'of', 'magnitude', 'and', 'that', 'temperaturedependent', 'switching', 'field', 'curves', 'noticeably', 'deviate', 'from', 'the', 'stonerwohlfarth', 'astroid', 'with', 'recent', 'and', 'future', 'musquid', 'measurements', 'in', 'mind', 'we', 'indicate', 'how', 'comparison', 'of', 'our', 'results', 'with', 'experimental', 'data', 'on', 'isolated', 'clusters', 'may', 'allow', 'one', 'to', 'obtain', 'valuable', 'information', 'on', 'surface', 'anisotropy']] | [-0.12018399755718147, 0.16183031625591188, -0.11754496751769268, 0.030368967374360702, -0.09465561608754178, -0.1052640943758269, 0.02255792552208964, 0.3898488260567822, -0.24792874143756133, -0.34994997582002046, 0.0403044080644093, -0.298412509857023, -0.10765701813246817, 0.2861635107324122, 0.030680211978602878, -0.03111106395582728, 0.034275672774999696, 0.003147059402606906, -0.05273747253925242, -0.2263258434832096, 0.28054111486082856, 0.06153511902332266, 0.32469698784754, 0.07249590917490423, 0.015258174489916084, 0.044027986072444736, 0.05097203321279364, 0.09636920950365589, -0.17529556072026645, 0.07960119408845129, 0.16995179039386518, -0.029676328541988387, 0.13219269848567375, -0.49713174422132844, -0.2518253213815153, 0.04703009360410432, 0.14519692825133654, 0.14426874004779977, -0.07850410971630171, -0.2544248261429528, 0.04827910597607037, -0.09783599443456277, -0.11528342300431525, -0.11468636867728957, 0.014032990010356175, 0.00858284946669765, -0.2494600986308874, 0.10195953305717806, 0.07777672901036257, 0.09176485675159207, -0.11724015179664847, -0.1194408403293408, -0.09014935069965159, 0.07006388785258094, 0.0944371302674049, 0.08443420047827184, 0.19635403668755627, -0.09464347775173472, -0.10071927273368582, 0.33336667193377273, -0.10086648676874478, -0.10648227680197105, 0.11894407533505495, -0.18769045944939902, -0.06537689210133667, 0.1781332894089691, 0.16035135016043453, 0.0867331283404789, -0.15528511622563956, 0.01423651329303616, 0.03346242355133228, 0.17890518581484782, 0.015661408029932607, -0.006140197617338693, 0.24659315855341388, 0.17475350373275975, 0.04000329967845786, 0.12695517588500924, -0.1231784261664019, -0.06302938713355268, -0.2361748748399476, -0.1294150714703063, -0.17432420112271893, 0.07426723402905021, -0.13125667201823857, -0.10287634843676798, 0.3751571478044733, 0.14544068759634218, 0.20481114850399343, -0.01899773383295124, 0.2768953262055491, 0.10207292917580839, 0.08106921869825492, 0.057979703796631164, 0.2730833050358961, 0.14757517585283184, 0.0909423625909109, -0.29506228477050095, 0.12659871033417616, -0.04480024613440037] |
712.1306 | Enhanced grain surface effect on magnetic properties of nanometric
La0.7Ca0.3MnO3 manganite : Evidence of surface spin freezing of manganite
nanoparticles | We have investigated the effect of nanometric grain size on magnetic
properties of single phase, nanocrystalline, granular La0.7Ca0.3MnO3 (LCMO)
sample. We have considered core-shell structure of our LCMO nanoparticles,
which can explain its magnetic properties. From the temperature dependence of
field cooled (FC) and zero-field cooled (ZFC) dc magnetization (DCM), the
magnetic properties could be distinguished into two regimes: a relatively high
temperature regime T > 40 K where the broad maximum of ZFC curve (at T = Tmax)
is associated with the blocking of core particle moments, whereas the sharp
maximum (at T = TS) is related to the freezing of surface (shell) spins. The
unusual shape of M (H) loop at T = 1.5 K, temperature dependent feature of
coercive field and remanent magnetization give a strong support of surface spin
freezing that are occurring at lower temperature regime (T < 40 K) in this LCMO
nanoparticles. Additionally, waiting time (tw) dependence of ZFC relaxation
measurements at T = 50 K show weak dependence of relaxation rate [S(t)] on tw
and dM/dln(t) following a logarithmic variation on time. Both of these features
strongly support the high temperature regime to be associated with the blocking
of core moments. At T = 20 K, ZFC relaxation measurements indicates the
existence of two different types of relaxation processes in the sample with
S(t) attaining a maximum at the elapsed time very close to the wait time tw =
1000 sec, which is an unequivocal sign of glassy behavior. This age-dependent
effect convincingly establish the surface spin freezing of our LCMO
nanoparticles associated with a background of superparamagnetic (SPM) phase of
core moments.
| cond-mat.mtrl-sci | we have investigated the effect of nanometric grain size on magnetic properties of single phase nanocrystalline granular la07ca03mno3 lcmo sample we have considered coreshell structure of our lcmo nanoparticles which can explain its magnetic properties from the temperature dependence of field cooled fc and zerofield cooled zfc dc magnetization dcm the magnetic properties could be distinguished into two regimes a relatively high temperature regime t 40 k where the broad maximum of zfc curve at t tmax is associated with the blocking of core particle moments whereas the sharp maximum at t ts is related to the freezing of surface shell spins the unusual shape of m h loop at t 15 k temperature dependent feature of coercive field and remanent magnetization give a strong support of surface spin freezing that are occurring at lower temperature regime t 40 k in this lcmo nanoparticles additionally waiting time tw dependence of zfc relaxation measurements at t 50 k show weak dependence of relaxation rate st on tw and dmdlnt following a logarithmic variation on time both of these features strongly support the high temperature regime to be associated with the blocking of core moments at t 20 k zfc relaxation measurements indicates the existence of two different types of relaxation processes in the sample with st attaining a maximum at the elapsed time very close to the wait time tw 1000 sec which is an unequivocal sign of glassy behavior this agedependent effect convincingly establish the surface spin freezing of our lcmo nanoparticles associated with a background of superparamagnetic spm phase of core moments | [['we', 'have', 'investigated', 'the', 'effect', 'of', 'nanometric', 'grain', 'size', 'on', 'magnetic', 'properties', 'of', 'single', 'phase', 'nanocrystalline', 'granular', 'la07ca03mno3', 'lcmo', 'sample', 'we', 'have', 'considered', 'coreshell', 'structure', 'of', 'our', 'lcmo', 'nanoparticles', 'which', 'can', 'explain', 'its', 'magnetic', 'properties', 'from', 'the', 'temperature', 'dependence', 'of', 'field', 'cooled', 'fc', 'and', 'zerofield', 'cooled', 'zfc', 'dc', 'magnetization', 'dcm', 'the', 'magnetic', 'properties', 'could', 'be', 'distinguished', 'into', 'two', 'regimes', 'a', 'relatively', 'high', 'temperature', 'regime', 't', '40', 'k', 'where', 'the', 'broad', 'maximum', 'of', 'zfc', 'curve', 'at', 't', 'tmax', 'is', 'associated', 'with', 'the', 'blocking', 'of', 'core', 'particle', 'moments', 'whereas', 'the', 'sharp', 'maximum', 'at', 't', 'ts', 'is', 'related', 'to', 'the', 'freezing', 'of', 'surface', 'shell', 'spins', 'the', 'unusual', 'shape', 'of', 'm', 'h', 'loop', 'at', 't', '15', 'k', 'temperature', 'dependent', 'feature', 'of', 'coercive', 'field', 'and', 'remanent', 'magnetization', 'give', 'a', 'strong', 'support', 'of', 'surface', 'spin', 'freezing', 'that', 'are', 'occurring', 'at', 'lower', 'temperature', 'regime', 't', '40', 'k', 'in', 'this', 'lcmo', 'nanoparticles', 'additionally', 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712.1307 | Arsenic uptake by gypsum and calcite: Modeling and probing by neutron
and x-ray scattering | Here we report on two structural studies performed on As-doped gypsum (CaSO4
2H2O) and calcite (CaCO3), using neutron (D20-ILL) and x-ray (ID11-ESRF)
diffraction data and EXAFS (BM8-ESRF). The aim of this study is to determine
whether As gets into the bulk of gypsum and calcite structures or is simply
adsorbed on the surface. Different mechanisms of substitution are used as
hypotheses. The combined Rietveld analysis of neutron and x-ray diffraction
data shows an expansion of the unit cell volume proportional to the As
concentration within the samples. DFT-based simulations confirm the increase of
the unit cell volume proportional to the amount of carbonate or sulphate groups
substituted. Interpolation of the experimental Rietveld data allows us to
distinguish As substituted within the structure from that adsorbed on the
surface of both minerals.
| physics.chem-ph | here we report on two structural studies performed on asdoped gypsum caso4 2h2o and calcite caco3 using neutron d20ill and xray id11esrf diffraction data and exafs bm8esrf the aim of this study is to determine whether as gets into the bulk of gypsum and calcite structures or is simply adsorbed on the surface different mechanisms of substitution are used as hypotheses the combined rietveld analysis of neutron and xray diffraction data shows an expansion of the unit cell volume proportional to the as concentration within the samples dftbased simulations confirm the increase of the unit cell volume proportional to the amount of carbonate or sulphate groups substituted interpolation of the experimental rietveld data allows us to distinguish as substituted within the structure from that adsorbed on the surface of both minerals | [['here', 'we', 'report', 'on', 'two', 'structural', 'studies', 'performed', 'on', 'asdoped', 'gypsum', 'caso4', '2h2o', 'and', 'calcite', 'caco3', 'using', 'neutron', 'd20ill', 'and', 'xray', 'id11esrf', 'diffraction', 'data', 'and', 'exafs', 'bm8esrf', 'the', 'aim', 'of', 'this', 'study', 'is', 'to', 'determine', 'whether', 'as', 'gets', 'into', 'the', 'bulk', 'of', 'gypsum', 'and', 'calcite', 'structures', 'or', 'is', 'simply', 'adsorbed', 'on', 'the', 'surface', 'different', 'mechanisms', 'of', 'substitution', 'are', 'used', 'as', 'hypotheses', 'the', 'combined', 'rietveld', 'analysis', 'of', 'neutron', 'and', 'xray', 'diffraction', 'data', 'shows', 'an', 'expansion', 'of', 'the', 'unit', 'cell', 'volume', 'proportional', 'to', 'the', 'as', 'concentration', 'within', 'the', 'samples', 'dftbased', 'simulations', 'confirm', 'the', 'increase', 'of', 'the', 'unit', 'cell', 'volume', 'proportional', 'to', 'the', 'amount', 'of', 'carbonate', 'or', 'sulphate', 'groups', 'substituted', 'interpolation', 'of', 'the', 'experimental', 'rietveld', 'data', 'allows', 'us', 'to', 'distinguish', 'as', 'substituted', 'within', 'the', 'structure', 'from', 'that', 'adsorbed', 'on', 'the', 'surface', 'of', 'both', 'minerals']] | [-0.03819753304924234, 0.11676310929499323, -0.07151880135643296, 0.01174305221229588, -0.046072733195615, -0.054169592054677196, 0.1369112857573782, 0.3927966150222346, -0.2616424311077026, -0.29724844569864217, 0.11532227656425675, -0.37198953074596375, -0.08087982745746558, 0.17762054928971338, -0.00031116039826883934, 0.015989374478522222, -7.472745346603915e-05, -0.001227827582624741, -0.06185906837890798, -0.2345832445716951, 0.28846603251258784, 0.09656732905023091, 0.31884764710775926, 0.07642592642514501, 0.06530845972793031, 0.015708807317423634, -0.013304702299137716, 0.04675157416204456, -0.16660475319832813, 0.10800718667542242, 0.21680933647985512, 0.058969505907953135, 0.15010191482497248, -0.500260564556811, -0.22711640513443854, -0.0025476670780335553, 0.09989012269579689, 0.03576291901390505, -0.06232808186996408, -0.2011578530582483, 0.0814263365504928, -0.08977979627070454, -0.08846938381248037, -0.09219349781051278, -0.054868974613782484, 0.03963819469754526, -0.22385500863174457, 0.09873536359737045, -0.002179883369080926, 0.10655396679794649, -0.1699641384188908, -0.13735941255436046, -0.08243915185448714, 0.10498400616688741, 0.05251677990600001, 0.021568708361883182, 0.19056802396244166, -0.03076785902339907, -0.06091906539950287, 0.4098116770328488, -0.02560681728846248, -0.09754321616674133, 0.19240347721643047, -0.1985180076553661, -0.11110030866257148, 0.16160260156175354, 0.1342297443784446, 0.12763651404327447, -0.14780153521178363, 0.02862546444293912, -0.032002704887418076, 0.27928097391850315, 0.12091864489775617, -0.031020346003060695, 0.17513514679376385, 0.22262712096744508, -0.024068021532002604, 0.168034885950874, -0.18695164857854252, -0.003376680322617176, -0.20193995307636214, -0.21373011298419442, -0.1822016296482616, 0.03657438781829114, -0.09591840635937388, -0.20106004347508133, 0.30454776284022955, 0.057515687942213845, 0.1653158045737655, -0.05409588663314935, 0.24294131483384263, -0.0016232216403295752, 0.10945003525011998, -0.058182908316666726, 0.17321487933804747, 0.17593052458687453, 0.08561644954534131, -0.30365170059485536, 0.1395426676626812, 0.02790843111142749] |
712.1308 | Outflow-Dominated Emission from the Quiescent Massive Black Holes in NGC
4621 and NGC 4697 | The nearby elliptical galaxies NGC 4621 and NGC 4697 each host a supermassive
black hole with a mass more than 1e8 Solar masses. Analysis of archival Chandra
data and new NRAO Very Large Array data shows that each galaxy contains a
low-luminosity active galactic nucleus (LLAGN), identified as a faint, hard
X-ray source that is astrometrically coincident with a faint 8.5-GHz source.
The latter has a diameter less than 0.3 arcsec (26 pc for NGC 4621, 17 pc for
NGC 4697). The black holes energizing these LLAGNs have Eddington ratios L(2-10
keV) / L(Edd) ~ 1e-9, placing them in the so-called quiescent regime. The
emission from these quiescent black holes is radio-loud, with log Rx = log
nuLnu(8.5 GHz) / L(2-10 keV) ~ -2, suggesting the presence of a radio outflow.
Also, application of the radio-X-ray-mass relation from Yuan & Cui for
quiescent black holes predicts the observed radio luminosities nuLnu(8.5 GHz)
to within a factor of a few. Significantly, that relation invokes X-ray
emission from the outflow rather than from an accretion flow. The faint, but
detectable, emission from these two massive black holes is therefore consistent
with being outflow-dominated. Observational tests of this finding are
suggested.
| astro-ph | the nearby elliptical galaxies ngc 4621 and ngc 4697 each host a supermassive black hole with a mass more than 1e8 solar masses analysis of archival chandra data and new nrao very large array data shows that each galaxy contains a lowluminosity active galactic nucleus llagn identified as a faint hard xray source that is astrometrically coincident with a faint 85ghz source the latter has a diameter less than 03 arcsec 26 pc for ngc 4621 17 pc for ngc 4697 the black holes energizing these llagns have eddington ratios l210 kev ledd 1e9 placing them in the socalled quiescent regime the emission from these quiescent black holes is radioloud with log rx log nulnu85 ghz l210 kev 2 suggesting the presence of a radio outflow also application of the radioxraymass relation from yuan cui for quiescent black holes predicts the observed radio luminosities nulnu85 ghz to within a factor of a few significantly that relation invokes xray emission from the outflow rather than from an accretion flow the faint but detectable emission from these two massive black holes is therefore consistent with being outflowdominated observational tests of this finding are suggested | [['the', 'nearby', 'elliptical', 'galaxies', 'ngc', '4621', 'and', 'ngc', '4697', 'each', 'host', 'a', 'supermassive', 'black', 'hole', 'with', 'a', 'mass', 'more', 'than', '1e8', 'solar', 'masses', 'analysis', 'of', 'archival', 'chandra', 'data', 'and', 'new', 'nrao', 'very', 'large', 'array', 'data', 'shows', 'that', 'each', 'galaxy', 'contains', 'a', 'lowluminosity', 'active', 'galactic', 'nucleus', 'llagn', 'identified', 'as', 'a', 'faint', 'hard', 'xray', 'source', 'that', 'is', 'astrometrically', 'coincident', 'with', 'a', 'faint', '85ghz', 'source', 'the', 'latter', 'has', 'a', 'diameter', 'less', 'than', '03', 'arcsec', '26', 'pc', 'for', 'ngc', '4621', '17', 'pc', 'for', 'ngc', '4697', 'the', 'black', 'holes', 'energizing', 'these', 'llagns', 'have', 'eddington', 'ratios', 'l210', 'kev', 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712.1309 | Complex base numeral systems | In this paper will be introduced large, probably complete family of complex
base systems, which are 'proper' - for each point of the space there is a
representation which is unique for all but some zero measure set. The condition
defining this family is the periodicity - we get periodic covering of the plane
by fractals in hexagonal-type structure, what can be used for example in image
compression. There will be introduced full methodology of analyzing and using
this approach - both for the integer part: periodic lattice and the fractional:
attractor of some IFS, for which the convex hull or properties like dimension
of the boundary can be found analytically. There will be also shown how to
generalize this approach to higher dimensions and found some proper systems in
dimension 3.
| math.DS cs.DM | in this paper will be introduced large probably complete family of complex base systems which are proper for each point of the space there is a representation which is unique for all but some zero measure set the condition defining this family is the periodicity we get periodic covering of the plane by fractals in hexagonaltype structure what can be used for example in image compression there will be introduced full methodology of analyzing and using this approach both for the integer part periodic lattice and the fractional attractor of some ifs for which the convex hull or properties like dimension of the boundary can be found analytically there will be also shown how to generalize this approach to higher dimensions and found some proper systems in dimension 3 | [['in', 'this', 'paper', 'will', 'be', 'introduced', 'large', 'probably', 'complete', 'family', 'of', 'complex', 'base', 'systems', 'which', 'are', 'proper', 'for', 'each', 'point', 'of', 'the', 'space', 'there', 'is', 'a', 'representation', 'which', 'is', 'unique', 'for', 'all', 'but', 'some', 'zero', 'measure', 'set', 'the', 'condition', 'defining', 'this', 'family', 'is', 'the', 'periodicity', 'we', 'get', 'periodic', 'covering', 'of', 'the', 'plane', 'by', 'fractals', 'in', 'hexagonaltype', 'structure', 'what', 'can', 'be', 'used', 'for', 'example', 'in', 'image', 'compression', 'there', 'will', 'be', 'introduced', 'full', 'methodology', 'of', 'analyzing', 'and', 'using', 'this', 'approach', 'both', 'for', 'the', 'integer', 'part', 'periodic', 'lattice', 'and', 'the', 'fractional', 'attractor', 'of', 'some', 'ifs', 'for', 'which', 'the', 'convex', 'hull', 'or', 'properties', 'like', 'dimension', 'of', 'the', 'boundary', 'can', 'be', 'found', 'analytically', 'there', 'will', 'be', 'also', 'shown', 'how', 'to', 'generalize', 'this', 'approach', 'to', 'higher', 'dimensions', 'and', 'found', 'some', 'proper', 'systems', 'in', 'dimension', '3']] | [-0.11072694854413759, 0.10690583731228298, -0.09672377157104455, 0.06349397593181465, -0.07808631319235, -0.12018435297880409, -0.0007888109147072185, 0.36414027332450993, -0.3001714997397837, -0.23827452061683402, 0.16542554284624625, -0.22681628990207273, -0.19580442927842742, 0.21690492624193142, -0.08335545833056518, 0.045296800784882185, 0.04269198009874239, 0.05239748930587441, -0.040777914240494255, -0.2742485614013389, 0.34993538988191025, -0.020347789012964152, 0.21180640741850632, 0.035196012501467686, 0.06548497915022479, -0.018725526584095733, -0.008860958920604036, 0.09999394716037069, -0.1466360338819177, 0.1338186416731671, 0.26029622380697537, 0.1267287003475624, 0.23896587357581991, -0.35124483882168006, -0.21633200345979642, 0.15203966351962367, 0.15266819526766276, 0.08457649751952596, -0.020734743854074283, -0.2561061675191041, 0.1433691067391891, -0.13582596961361926, -0.1806133415752141, -0.10741997815942926, 0.05825998343512878, 0.012909452021194175, -0.2643710619633721, -0.00012133186236348782, 0.08807324152891055, 0.08356405388159577, -0.058924939210865966, -0.09546001383298358, -0.019266756877750736, 0.12999329681674293, -0.005415938961480486, 0.06368892662256032, 0.04663463526715835, -0.06986226891203559, -0.09428821544726054, 0.40363226786468814, -0.01697825450385206, -0.2664338559951893, 0.19057101051705752, -0.18132920926725565, -0.1536002431115381, 0.13505851932216523, 0.1574804207902084, 0.08932661614200288, -0.16707681357732418, 0.0926314656240974, -0.06881689686642223, 0.14131382584338106, 0.10722796492957214, 0.04063778657957103, 0.18668900348982492, 0.13995015381496081, 0.12519052793640037, 0.15741257836894212, -0.04680718618531733, -0.060055599075041766, -0.30323785596866476, -0.16477344753292872, -0.18161554189846496, 0.06466492277736119, -0.08074293929558742, -0.170565261831101, 0.37549828404791713, 0.13760722352032975, 0.1903089535992968, 0.013381368506793655, 0.23044005763724215, 0.14818783101452923, 0.07264940232099865, 0.08021176518699111, 0.18354818101486375, 0.06570186998240303, 0.06384454397917834, -0.14504070093046673, 0.018926332432184684, 0.08772779348154747] |
712.131 | About Algorithm for Transformation of Logic Functions (ATLF) | In this article the algorithm for transformation of logic functions which are
given by truth tables is considered. The suggested algorithm allows the
transformation of many-valued logic functions with the required number of
variables and can be looked in this sense as universal.
| cs.LO cs.AI | in this article the algorithm for transformation of logic functions which are given by truth tables is considered the suggested algorithm allows the transformation of manyvalued logic functions with the required number of variables and can be looked in this sense as universal | [['in', 'this', 'article', 'the', 'algorithm', 'for', 'transformation', 'of', 'logic', 'functions', 'which', 'are', 'given', 'by', 'truth', 'tables', 'is', 'considered', 'the', 'suggested', 'algorithm', 'allows', 'the', 'transformation', 'of', 'manyvalued', 'logic', 'functions', 'with', 'the', 'required', 'number', 'of', 'variables', 'and', 'can', 'be', 'looked', 'in', 'this', 'sense', 'as', 'universal']] | [-0.10624209280277408, 0.08795923020604045, -0.09029995618106494, 0.0759067471155377, -0.09702212874626004, -0.12149490788578987, 0.0719538648114648, 0.3523560585670693, -0.3062967010882012, -0.3525267941660659, 0.07503005097955899, -0.17042782184225236, -0.18975973865667053, 0.18709704600447832, -0.10733740495214629, 0.1343825561059422, -0.01019934662292863, 0.07202005765379169, -0.07501771204108588, -0.2766404384530561, 0.31011623867549176, 0.016185537478778253, 0.22620030654984158, -0.014944046562494234, 0.11106379455778488, 0.04024091508066238, -0.04117284184538348, 0.04354733332645062, -0.06566074126681616, 0.11469718530167673, 0.3200754795310109, 0.2414252467258552, 0.2789425656719263, -0.3975164724600523, -0.1256496708103737, 0.11822632152240636, 0.11654556197179265, 0.10648035323842926, 0.023067498536303986, -0.2863267095716194, 0.05876952833171154, -0.17765712484630736, -0.07465436189370446, -0.12787146329186683, 0.0486428574550637, 0.09250349802679794, -0.2725710802884816, -0.0013195630374464725, 0.11618308617928347, 0.04445082490700622, -0.0406627903088689, -0.10919484030455351, 0.02112068840150916, 0.08328278106095832, 0.010997248526532636, 0.08063431415533603, 0.08162049318902022, -0.06162927378792056, -0.16850474999058818, 0.37850923086841437, 0.02040411913117697, -0.23567176631890063, 0.09857190320224957, -0.11195900363760979, -0.16400747496071597, 0.07235201612807983, 0.0940270731821223, 0.12091835215687752, -0.16408173326229633, 0.10544822637809353, -0.06899754189734542, 0.18383605600616268, 0.08054905203929127, 0.06429295664312058, 0.16496583581144034, 0.13382881442301495, 0.022631468565398178, 0.1951009357147742, 0.014593820499126301, -0.069965650500773, -0.355057618039292, -0.19319067936563908, -0.1775197444786859, -0.037699495528846286, -0.054688769024133485, -0.18700942371127216, 0.37789686855881716, 0.15612418218624108, 0.18354736257691023, 0.10891287881328703, 0.2518115368953278, 0.19346752942290676, 0.11430370313830154, 0.04816826447021476, 0.15562310277722602, 0.1243402732287122, 0.11034366757024167, -0.11396816685297635, 0.15114373394266464, 0.11551997941637109] |
712.1311 | Model-Independent and Quasi-Model-Independent Search for New Physics at
CDF | Data collected in Run II of the Fermilab Tevatron are searched for
indications of new electroweak scale physics. Rather than focusing on
particular new physics scenarios, CDF data are analyzed for discrepancies with
respect to the standard model prediction. A model-independent approach (Vista)
considers the gross features of the data, and is sensitive to new large cross
section physics. A quasi-model-independent approach (Sleuth) searches for a
significant excess of events with large summed transverse momentum, and is
particularly sensitive to new electroweak scale physics that appears
predominantly in one final state. This global search for new physics in over
three hundred exclusive final states in 927 pb^-1 of ppbar collisions at
sqrt(s)=1.96 TeV reveals no such significant indication of physics beyond the
standard model.
| hep-ex | data collected in run ii of the fermilab tevatron are searched for indications of new electroweak scale physics rather than focusing on particular new physics scenarios cdf data are analyzed for discrepancies with respect to the standard model prediction a modelindependent approach vista considers the gross features of the data and is sensitive to new large cross section physics a quasimodelindependent approach sleuth searches for a significant excess of events with large summed transverse momentum and is particularly sensitive to new electroweak scale physics that appears predominantly in one final state this global search for new physics in over three hundred exclusive final states in 927 pb1 of ppbar collisions at sqrts196 tev reveals no such significant indication of physics beyond the standard model | [['data', 'collected', 'in', 'run', 'ii', 'of', 'the', 'fermilab', 'tevatron', 'are', 'searched', 'for', 'indications', 'of', 'new', 'electroweak', 'scale', 'physics', 'rather', 'than', 'focusing', 'on', 'particular', 'new', 'physics', 'scenarios', 'cdf', 'data', 'are', 'analyzed', 'for', 'discrepancies', 'with', 'respect', 'to', 'the', 'standard', 'model', 'prediction', 'a', 'modelindependent', 'approach', 'vista', 'considers', 'the', 'gross', 'features', 'of', 'the', 'data', 'and', 'is', 'sensitive', 'to', 'new', 'large', 'cross', 'section', 'physics', 'a', 'quasimodelindependent', 'approach', 'sleuth', 'searches', 'for', 'a', 'significant', 'excess', 'of', 'events', 'with', 'large', 'summed', 'transverse', 'momentum', 'and', 'is', 'particularly', 'sensitive', 'to', 'new', 'electroweak', 'scale', 'physics', 'that', 'appears', 'predominantly', 'in', 'one', 'final', 'state', 'this', 'global', 'search', 'for', 'new', 'physics', 'in', 'over', 'three', 'hundred', 'exclusive', 'final', 'states', 'in', '927', 'pb1', 'of', 'ppbar', 'collisions', 'at', 'sqrts196', 'tev', 'reveals', 'no', 'such', 'significant', 'indication', 'of', 'physics', 'beyond', 'the', 'standard', 'model']] | [-0.034218342862122005, 0.15273302888512733, -0.09744215079004906, 0.19265073912702652, -0.07930067900733481, -0.15627616468907124, 0.011218597725664655, 0.27902703050283656, -0.21109235418900366, -0.38012328587571953, 0.024521808586864462, -0.3553301338444374, 0.04671492545504964, 0.19546011692070733, 0.05304376184264378, 0.09639668214931002, 0.13830082694485393, -0.027299277675938944, -0.05382802351115031, -0.20796385847760604, 0.26459840041840627, 0.08950273957171087, 0.2698723723090464, 0.08631050701989161, 0.060658759198098954, 0.01327703142305836, -0.11996140823354043, -0.05847637454468396, -0.08258442363107714, 0.08320536482079338, 0.2678491234508974, 0.12665521671935434, 0.1848199988054412, -0.37858810866882486, -0.0991590452500649, 0.1355304123003847, 0.13815009358128713, 0.10237364367687053, -0.10672075464108569, -0.31891737270052545, 0.08446841446998259, -0.1990365436893978, -0.10580557073286224, -0.040718806407723254, 0.025644854011554873, -0.08181170015145213, -0.30579491011467913, 0.11659372772555798, -0.05467506082570781, 0.1152461496812682, -0.010551090029278589, -0.2063046404059165, -0.022822892225738012, -0.017106358784311, 0.07154390519069913, 0.07197392969805326, 0.14325413287376926, -0.19860291387979692, -0.214665565016349, 0.3730941056424091, -0.0690609015597851, -0.0970263633268675, 0.22787665096562235, -0.212660628656346, -0.18263046509368466, 0.15308788871662993, 0.30225752695884195, 0.04540884833136994, -0.24204740744279396, 0.11353775768844981, -0.02058907564459068, 0.19444721023507056, 0.011813669525567562, 0.0706464827704739, 0.20265957784478464, 0.25540782260190276, 0.02027941862451694, 0.041243780359265306, -0.1679639834258142, -0.1289294757730057, -0.44338521256952756, -0.09164817732075349, -0.08798407423009555, 0.002755417742000352, -0.025532934146007567, -0.07984367870695648, 0.3877446295453175, 0.14090272708563134, 0.2792909195977113, -0.030119050380533502, 0.2702582067708605, 0.03907496194099827, 0.11618542085747205, 0.0547988164433909, 0.33309608200685153, 0.04116647518540342, 0.16776474221936247, -0.14745899426352774, 0.04807926403103216, 0.0031399786464809893] |
712.1312 | A delay differential model of ENSO variability: Parametric instability
and the distribution of extremes | We consider a delay differential equation (DDE) model for El-Nino Southern
Oscillation (ENSO) variability. The model combines two key mechanisms that
participate in ENSO dynamics: delayed negative feedback and seasonal forcing.
We perform stability analyses of the model in the three-dimensional space of
its physically relevant parameters. Our results illustrate the role of these
three parameters: strength of seasonal forcing $b$, atmosphere-ocean coupling
$\kappa$, and propagation period $\tau$ of oceanic waves across the Tropical
Pacific. Two regimes of variability, stable and unstable, are separated by a
sharp neutral curve in the $(b,\tau)$ plane at constant $\kappa$. The detailed
structure of the neutral curve becomes very irregular and possibly fractal,
while individual trajectories within the unstable region become highly complex
and possibly chaotic, as the atmosphere-ocean coupling $\kappa$ increases. In
the unstable regime, spontaneous transitions occur in the mean ``temperature''
({\it i.e.}, thermocline depth), period, and extreme annual values, for purely
periodic, seasonal forcing. The model reproduces the Devil's bleachers
characterizing other ENSO models, such as nonlinear, coupled systems of partial
differential equations; some of the features of this behavior have been
documented in general circulation models, as well as in observations. We
expect, therefore, similar behavior in much more detailed and realistic models,
where it is harder to describe its causes as completely.
| physics.ao-ph | we consider a delay differential equation dde model for elnino southern oscillation enso variability the model combines two key mechanisms that participate in enso dynamics delayed negative feedback and seasonal forcing we perform stability analyses of the model in the threedimensional space of its physically relevant parameters our results illustrate the role of these three parameters strength of seasonal forcing b atmosphereocean coupling kappa and propagation period tau of oceanic waves across the tropical pacific two regimes of variability stable and unstable are separated by a sharp neutral curve in the btau plane at constant kappa the detailed structure of the neutral curve becomes very irregular and possibly fractal while individual trajectories within the unstable region become highly complex and possibly chaotic as the atmosphereocean coupling kappa increases in the unstable regime spontaneous transitions occur in the mean temperature it ie thermocline depth period and extreme annual values for purely periodic seasonal forcing the model reproduces the devils bleachers characterizing other enso models such as nonlinear coupled systems of partial differential equations some of the features of this behavior have been documented in general circulation models as well as in observations we expect therefore similar behavior in much more detailed and realistic models where it is harder to describe its causes as completely | [['we', 'consider', 'a', 'delay', 'differential', 'equation', 'dde', 'model', 'for', 'elnino', 'southern', 'oscillation', 'enso', 'variability', 'the', 'model', 'combines', 'two', 'key', 'mechanisms', 'that', 'participate', 'in', 'enso', 'dynamics', 'delayed', 'negative', 'feedback', 'and', 'seasonal', 'forcing', 'we', 'perform', 'stability', 'analyses', 'of', 'the', 'model', 'in', 'the', 'threedimensional', 'space', 'of', 'its', 'physically', 'relevant', 'parameters', 'our', 'results', 'illustrate', 'the', 'role', 'of', 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712.1313 | The black hole dynamical horizon and generalized second law of
thermodynamics | The generalized second law of thermodynamics for a system containing a black
hole dynamical horizon is proposed in a covariant way. Its validity is also
tested in case of adiabatically collapsing thick light shells.
| gr-qc astro-ph hep-th | the generalized second law of thermodynamics for a system containing a black hole dynamical horizon is proposed in a covariant way its validity is also tested in case of adiabatically collapsing thick light shells | [['the', 'generalized', 'second', 'law', 'of', 'thermodynamics', 'for', 'a', 'system', 'containing', 'a', 'black', 'hole', 'dynamical', 'horizon', 'is', 'proposed', 'in', 'a', 'covariant', 'way', 'its', 'validity', 'is', 'also', 'tested', 'in', 'case', 'of', 'adiabatically', 'collapsing', 'thick', 'light', 'shells']] | [-0.14926656768725746, 0.07787745062480955, -0.14595275700968854, 0.0817591463393696, -0.07062388884728801, -0.1409611983998569, 0.025813553400118563, 0.2855815992635839, -0.1793695661403677, -0.23859947306268356, 0.08692011069369447, -0.27047013209256177, -0.051606525393093336, 0.20339131125194185, -0.05183500092586174, 0.03900069661048131, -0.02978039628771298, 0.04776502243818387, -0.08924238956259455, -0.2319881356704761, 0.3585833089754862, 0.05829936856581994, 0.2341829593471416, 0.0007616325062425697, 0.11978370444301296, -0.05028855858836323, 0.08526950882857337, 0.08369375620146885, -0.08978068099959809, 0.0476733039078467, 0.15907531779221779, 0.10251077795949053, 0.24673936800921664, -0.3895006240071619, -0.27590856788789525, 0.02761669147430974, 0.14246197767993984, 0.13249744606368682, -0.11400820807937313, -0.25439781103255776, 0.06970948405454264, -0.3064986691906062, -0.2727146487244788, -0.03159535552977639, 0.075974444831338, -0.041495267192230505, -0.1887247162487577, 0.16655708492565763, 0.10312324038771775, -0.07294723944848075, -0.11649225593667806, 0.04186442019486362, -0.04598938816172235, 0.056473017711301934, 0.04174840427003801, -0.025141819530878875, 0.20799087519373963, -0.04803684639388367, -0.07875051415141891, 0.4036877693279701, -0.0666116219431655, -0.20086453208590255, 0.11234047300839688, -0.21115729848251624, -0.11710058503291186, 0.09667588608777698, 0.13213973618386424, 0.23132866148957607, -0.19572031445910826, 0.1404742365976905, -0.031023771118591812, 0.19351541004417575, 0.10655843693872585, -0.01870589133571176, 0.36977960892459927, 0.21881557869560578, -0.017141487723325983, 0.22806799921261914, -0.04171681628726861, -0.17036352046724298, -0.36568644141216816, -0.1886406478143352, -0.18692255335147767, 0.08136549917981029, -0.13884333087855125, -0.15915510217275688, 0.3195946058806251, 0.053329502013238037, 0.11560741464114364, 0.015999978189082706, 0.299273795557811, 0.07360465758863617, 0.021524983143214795, 0.11747436543159626, 0.30659838015323176, 0.17415664884645274, 0.12617602490696728, -0.204664615839754, -0.04460877872428254, 0.10310123323955957] |
712.1314 | Deuteron frozen spin polarized target for nd experiements at the VdG
accelerator of Charles University | A frozen spin polarized deuteron target cooled by the 3He/4He dilution
refrigerator is described. Fully deuterated 1,2-propanediol was used as a
target material. Deuteron vector polarization about 40% was obtained for the
target in the shape of a cylinder of 2 cm diameter and 6 cm length. The target
is intended for a study of 3N interactions at the polarized neutron beam
generated by the Van de Graaff accelerator at the Charles University in Prague.
| nucl-ex | a frozen spin polarized deuteron target cooled by the 3he4he dilution refrigerator is described fully deuterated 12propanediol was used as a target material deuteron vector polarization about 40 was obtained for the target in the shape of a cylinder of 2 cm diameter and 6 cm length the target is intended for a study of 3n interactions at the polarized neutron beam generated by the van de graaff accelerator at the charles university in prague | [['a', 'frozen', 'spin', 'polarized', 'deuteron', 'target', 'cooled', 'by', 'the', '3he4he', 'dilution', 'refrigerator', 'is', 'described', 'fully', 'deuterated', '12propanediol', 'was', 'used', 'as', 'a', 'target', 'material', 'deuteron', 'vector', 'polarization', 'about', '40', 'was', 'obtained', 'for', 'the', 'target', 'in', 'the', 'shape', 'of', 'a', 'cylinder', 'of', '2', 'cm', 'diameter', 'and', '6', 'cm', 'length', 'the', 'target', 'is', 'intended', 'for', 'a', 'study', 'of', '3n', 'interactions', 'at', 'the', 'polarized', 'neutron', 'beam', 'generated', 'by', 'the', 'van', 'de', 'graaff', 'accelerator', 'at', 'the', 'charles', 'university', 'in', 'prague']] | [-0.05814129944890738, 0.24621667137990394, -0.04257270909768219, 0.04821002742275596, 0.0008391771465539932, -0.14583837984285006, -0.021099449334045253, 0.35113959431648256, -0.19625371078650156, -0.27241734181841215, 0.02285431352443993, -0.31075975459069016, 0.05268514607101679, 0.19631422865514955, 0.052523405713339646, 0.02448037317022681, -0.006737721071889003, 0.02970121145248413, -0.04706743450214466, -0.22117768708771715, 0.26855363649626574, 0.17523698681344588, 0.2542429955365757, 0.06155443639184038, 0.15541646151492994, 0.06525178672124943, 0.0109488462160031, -0.057171615436673165, -0.07985272739082575, 0.07101980714593083, 0.30407073150078456, 0.05786267157644034, 0.14778003265460332, -0.4087369295457999, -0.16373721207181613, 0.013296775499814733, 0.03678299583494663, 0.12662368832311283, -0.006487346303183586, -0.29232300168524183, 0.041420833778878056, -0.20330437999218703, -0.22751025586078563, 0.02839593204514434, 0.03964414313435555, 0.05611749063114985, -0.2100453265508016, -0.025893840417265893, 0.0706754915912946, 0.12922543373735002, -0.05401108871524533, -0.21883644830435514, 0.0006213376298546791, 0.04831822274873654, -0.06415205908939242, 0.14704655061475932, 0.20040378419061503, -0.12322651823051274, -0.0387307944893837, 0.3530244124432405, -0.08945093154907227, -0.09468979847927889, 0.11155270841283103, -0.1999802416190505, -0.05519564059873422, 0.22217724996851757, 0.16599716837207476, 0.1118869075924158, -0.15209688814356923, 0.06645265980245313, -0.024226582376286387, 0.22383195519447327, 0.21023813062657912, -0.10511057107398908, 0.2215825273624311, 0.23049360246707995, -0.013647905134906371, 0.15163306249616046, -0.18089671015118558, 0.027624937059978646, -0.2815406737414499, -0.13944028669347366, -0.17971126800092557, 0.0917704503890127, 0.01393609145054749, -0.04088057303801179, 0.3309964738786221, -0.018066231248279413, 0.13076363049447537, -0.06689243671794733, 0.2856613610840092, -0.019771863385103644, 0.05314367617170016, 0.03609393283724785, 0.2574716611020267, 0.19558149962530783, 0.15288125942150751, -0.24695005451639493, 0.05761045441652338, 0.03532838218224545] |
712.1315 | The Meaning of Dimensions | We review the current status of dimensions, as the result of a long and
controversial history that includes input from philosophy and physics. Our
conclusion is that they are subjective but essential concepts which provide a
kind of book-keeping device, their number increasing as required by advances in
physics. The world almost certainly has more than the four dimensions of space
and time, but the introduction of the fifth and higher dimensions requires a
careful approach wherein known results are embedded and new ones are couched in
the most productive manner.
| gr-qc | we review the current status of dimensions as the result of a long and controversial history that includes input from philosophy and physics our conclusion is that they are subjective but essential concepts which provide a kind of bookkeeping device their number increasing as required by advances in physics the world almost certainly has more than the four dimensions of space and time but the introduction of the fifth and higher dimensions requires a careful approach wherein known results are embedded and new ones are couched in the most productive manner | [['we', 'review', 'the', 'current', 'status', 'of', 'dimensions', 'as', 'the', 'result', 'of', 'a', 'long', 'and', 'controversial', 'history', 'that', 'includes', 'input', 'from', 'philosophy', 'and', 'physics', 'our', 'conclusion', 'is', 'that', 'they', 'are', 'subjective', 'but', 'essential', 'concepts', 'which', 'provide', 'a', 'kind', 'of', 'bookkeeping', 'device', 'their', 'number', 'increasing', 'as', 'required', 'by', 'advances', 'in', 'physics', 'the', 'world', 'almost', 'certainly', 'has', 'more', 'than', 'the', 'four', 'dimensions', 'of', 'space', 'and', 'time', 'but', 'the', 'introduction', 'of', 'the', 'fifth', 'and', 'higher', 'dimensions', 'requires', 'a', 'careful', 'approach', 'wherein', 'known', 'results', 'are', 'embedded', 'and', 'new', 'ones', 'are', 'couched', 'in', 'the', 'most', 'productive', 'manner']] | [-0.08354105219656888, 0.12990977770167883, -0.06945713646300547, 0.05464197506560115, -0.0915144290263345, -0.12527130831258146, 0.020417059822888165, 0.3399816454582653, -0.178755104548175, -0.36484405989912183, 0.14928868706312523, -0.25242691598116207, -0.18559636183308212, 0.2308515685375084, -0.07296807614697533, 0.009217488432333774, 0.04658704429639728, 0.051614403343762036, -0.03542182415565169, -0.29208701492829636, 0.31824641500773665, 0.05087360504318725, 0.2651417374221997, 0.04633994875373421, 0.06581683943027651, 0.0005555628532809871, -0.09829781746912676, 0.03548337220806618, -0.07006994725008633, 0.1626685547877799, 0.25454277762181154, 0.17642660063926827, 0.3006894674873655, -0.44878266245679377, -0.2094452009334198, 0.02897847044297013, 0.1442800523933269, 0.121449564174227, -0.05084059404156166, -0.23885045810551433, 0.05258009458794821, -0.16106188463579332, -0.12306624826217828, -0.10136486128341038, 0.03883989352303056, -0.02859192978140417, -0.1908496928434553, 0.053301398011671566, 0.10511310884708559, 0.05200592362946206, -0.01901075685208735, -0.15055565370226298, 0.012021681654604745, 0.17075142529434884, 0.07236291738073496, 0.04550200963270042, 0.10703678208065558, -0.16620620436311423, -0.13823927516772688, 0.41299813607154967, 0.009179016853302748, -0.16049859533598135, 0.2508456465777951, -0.1518168686646047, -0.1300628563711563, 0.09054709823321101, 0.12816905386740812, 0.10529013510261263, -0.14279533800883934, 0.07056152336184283, 0.0025842260341620545, 0.1660629612710941, 0.038937494798389434, 0.10518056099241661, 0.21643553674732754, 0.20381395627775198, 0.054460178303358316, 0.07439580551798937, -0.012826728179109292, -0.1262706074822735, -0.334257239465612, -0.16685692397468202, -0.16324174325340068, 0.04305386718280695, -0.04147991831948505, -0.13804501575381997, 0.38633720709041663, 0.16627410298806952, 0.1732076602683474, 0.030699111200142445, 0.3059088134585501, 0.04959271584540237, 0.09214042905899747, 0.045580843992846, 0.230323200492741, 0.06781127436117239, 0.15834946400271013, -0.09467776203886248, 0.09599202525914534, 0.0340589476099422] |
712.1316 | Hierarchical Disk Galaxy Assembly as the Origin of Scatter in the z~1
Stellar Mass Tully-Fisher Relation | Recent observations of distant disk galaxies show that there is little to no
evolution in the relation between maximum rotation speed and stellar mass at z
< 1.2. There is however a significant scatter between these two quantities
whose origin is uncertain. We show in this paper that this scatter is at least
partially the result of galaxy merging, revealing that disk galaxy growth at z
< 1 is fundamentally hierarchical. We carry this out by calculating CAS
(concentration, asymmetry, clumpiness) structural parameters using archival
Hubble Space Telescope imaging of 91 high-redshift disk galaxies at 0.4 < z <
1.0 with robustly measured stellar masses and rotational maximum velocities
taken from Conselice et al. (2005). We separate our sample into two redshift
bins divided at z = 0.7, and investigate deviations from the stellar-mass
Tully-Fisher relation in both the M_* and V_max directions, and how these
correlate with structural asymmetries. We find a significant (> 3 sigma)
correlation between the residuals from the stellar-mass Tully-Fisher relation
in both the M_* and V_max directions, and high asymmetries. This result holds
after we remove contributions from star formation and edge-on galaxies which
can produce higher asymmetries unrelated to merging. While there are a few
cases in which our disk galaxies have very large asymmetries, and are
potentially involved in major mergers, in general these asymmetries are smaller
than the major merger limit. It is therefore likely that these galaxies are
forming hierarchically through minor galaxy mergers, which is also suggested by
the constant slope and zero point of the stellar mass Tully-Fisher relation
during the same epoch.
| astro-ph | recent observations of distant disk galaxies show that there is little to no evolution in the relation between maximum rotation speed and stellar mass at z 12 there is however a significant scatter between these two quantities whose origin is uncertain we show in this paper that this scatter is at least partially the result of galaxy merging revealing that disk galaxy growth at z 1 is fundamentally hierarchical we carry this out by calculating cas concentration asymmetry clumpiness structural parameters using archival hubble space telescope imaging of 91 highredshift disk galaxies at 04 z 10 with robustly measured stellar masses and rotational maximum velocities taken from conselice et al 2005 we separate our sample into two redshift bins divided at z 07 and investigate deviations from the stellarmass tullyfisher relation in both the m_ and v_max directions and how these correlate with structural asymmetries we find a significant 3 sigma correlation between the residuals from the stellarmass tullyfisher relation in both the m_ and v_max directions and high asymmetries this result holds after we remove contributions from star formation and edgeon galaxies which can produce higher asymmetries unrelated to merging while there are a few cases in which our disk galaxies have very large asymmetries and are potentially involved in major mergers in general these asymmetries are smaller than the major merger limit it is therefore likely that these galaxies are forming hierarchically through minor galaxy mergers which is also suggested by the constant slope and zero point of the stellar mass tullyfisher relation during the same epoch | [['recent', 'observations', 'of', 'distant', 'disk', 'galaxies', 'show', 'that', 'there', 'is', 'little', 'to', 'no', 'evolution', 'in', 'the', 'relation', 'between', 'maximum', 'rotation', 'speed', 'and', 'stellar', 'mass', 'at', 'z', '12', 'there', 'is', 'however', 'a', 'significant', 'scatter', 'between', 'these', 'two', 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712.1317 | How to facet a gemstone: from potential modularity to the proof of
Serre's modularity conjecture | In this survey paper we present recent results obtained by Khare,
Wintenberger and the author that have led to a proof of Serre's conjecture,
such as existence of compatible families, modular upper bounds for universal
deformation rings and existence of minimal lifts, prime switching and
modularity propagation, weight reduction (via existence of conjugates) and
(iterated) killing ramification.
The main tools used in the proof of these results are modularity lifting
theorems a la Wiles and a result of potential modularity due to R. Taylor.
| math.NT | in this survey paper we present recent results obtained by khare wintenberger and the author that have led to a proof of serres conjecture such as existence of compatible families modular upper bounds for universal deformation rings and existence of minimal lifts prime switching and modularity propagation weight reduction via existence of conjugates and iterated killing ramification the main tools used in the proof of these results are modularity lifting theorems a la wiles and a result of potential modularity due to r taylor | [['in', 'this', 'survey', 'paper', 'we', 'present', 'recent', 'results', 'obtained', 'by', 'khare', 'wintenberger', 'and', 'the', 'author', 'that', 'have', 'led', 'to', 'a', 'proof', 'of', 'serres', 'conjecture', 'such', 'as', 'existence', 'of', 'compatible', 'families', 'modular', 'upper', 'bounds', 'for', 'universal', 'deformation', 'rings', 'and', 'existence', 'of', 'minimal', 'lifts', 'prime', 'switching', 'and', 'modularity', 'propagation', 'weight', 'reduction', 'via', 'existence', 'of', 'conjugates', 'and', 'iterated', 'killing', 'ramification', 'the', 'main', 'tools', 'used', 'in', 'the', 'proof', 'of', 'these', 'results', 'are', 'modularity', 'lifting', 'theorems', 'a', 'la', 'wiles', 'and', 'a', 'result', 'of', 'potential', 'modularity', 'due', 'to', 'r', 'taylor']] | [-0.19337488427048638, 0.027082858262084692, -0.13350196530310704, 0.06530589374597184, -0.10466092184097284, -0.10860211329279645, 0.023033741571929396, 0.24226364448467003, -0.28640886453268605, -0.2952348899007553, 0.11421004689951328, -0.20633879071933084, -0.20776820588590844, 0.2217667016998998, -0.136013116449162, 0.052659619502568, 0.05012100887307454, -0.0011736787633881683, -0.025171286179794975, -0.32455947014525355, 0.37467789493634235, 0.03963904456412863, 0.23651255178265274, 0.11892021066021352, 0.05566535329091407, 0.046219180626351206, -0.03275784928285118, -0.031011656485220772, -0.20513908798195535, 0.2037211601134567, 0.2897490223736635, 0.12040856213397569, 0.23872391656706377, -0.3724313356048827, -0.10673393601956334, 0.14724437655171468, 0.12007194825647664, 0.0363604832396266, -0.06631536967775208, -0.25597709988332573, 0.15307592824544936, -0.17233616932381188, -0.21728922528702588, -0.1383476586613272, 0.019762877724133432, 0.07401039944739923, -0.22161750697220364, 0.031204501078242346, 0.1791771806865221, 0.15206639814277878, -0.08545216459537014, -0.15353126322692592, -0.023085539672701133, 0.037855466079366, 0.07535784469828719, 0.01348683410435028, 0.05946709025495996, -0.09828760794508049, -0.17579588289040007, 0.25205310265577974, -0.08806724243220829, -0.11478917019086934, 0.16972536261614768, -0.07510563975215302, -0.2083613636094101, 0.09005563813705175, 0.09306637793114143, 0.11115309423656158, -0.05244791924598671, 0.15490276338962194, -0.10684539557855931, 0.05161953231851969, 0.20726726203602516, 0.0027841623440118773, 0.118158171529926, 0.05941752565559, 0.09182272294613843, 0.12165315704797172, 0.005488009635536443, -0.034838277452980126, -0.3389756238265407, -0.18264024990743824, -0.1440570418490097, 0.12842587970884606, -0.08973191391002426, -0.15539435008845648, 0.4180302183099446, 0.10586410423829443, 0.16610643932030403, 0.15287883802583174, 0.2156815572774836, 0.074903120041459, 0.08858142213319384, 0.004132003800588704, 0.17600085551939196, 0.2668182991827572, 0.03847653396605026, -0.12788455571890586, 0.025535690079517996, 0.1967760004058835] |
712.1318 | The Einstein-Podolsky-Rosen Argument and the Bell Inequalities | In 1935 Einstein, Podolsky, and Rosen (EPR) published an important paper in
which they claimed that the whole formalism of quantum mechanics together with
what they called "Reality Criterion" imply that quantum mechanics cannot be
complete. That is, there must exist some elements of reality that are not
described by quantum mechanics. There must be, they concluded, a more complete
description of physical reality behind quantum mechanics. There must be a
state, a hidden variable, characterizing the state of affairs in the world in
more details than the quantum mechanical state, something that also reflects
the missing elements of reality.
Under some further but quite plausible assumptions, this conclusion implies
that in some spin-correlation experiments the measured quantum mechanical
probabilities should satisfy particular inequalities (Bell-type inequalities).
The paradox consists in the fact that quantum probabilities do not satisfy
these inequalities. And this paradoxical fact has been confirmed by several
laboratory experiments in the last three decades. The problem is still open and
hotly debated among both physicists and philosophers. It has motivated a wide
range of research from the most fundamental quantum mechanical experiments
through foundations of probability theory to the theory of stochastic causality
as well as the metaphysics of free will.
| quant-ph | in 1935 einstein podolsky and rosen epr published an important paper in which they claimed that the whole formalism of quantum mechanics together with what they called reality criterion imply that quantum mechanics cannot be complete that is there must exist some elements of reality that are not described by quantum mechanics there must be they concluded a more complete description of physical reality behind quantum mechanics there must be a state a hidden variable characterizing the state of affairs in the world in more details than the quantum mechanical state something that also reflects the missing elements of reality under some further but quite plausible assumptions this conclusion implies that in some spincorrelation experiments the measured quantum mechanical probabilities should satisfy particular inequalities belltype inequalities the paradox consists in the fact that quantum probabilities do not satisfy these inequalities and this paradoxical fact has been confirmed by several laboratory experiments in the last three decades the problem is still open and hotly debated among both physicists and philosophers it has motivated a wide range of research from the most fundamental quantum mechanical experiments through foundations of probability theory to the theory of stochastic causality as well as the metaphysics of free will | [['in', '1935', 'einstein', 'podolsky', 'and', 'rosen', 'epr', 'published', 'an', 'important', 'paper', 'in', 'which', 'they', 'claimed', 'that', 'the', 'whole', 'formalism', 'of', 'quantum', 'mechanics', 'together', 'with', 'what', 'they', 'called', 'reality', 'criterion', 'imply', 'that', 'quantum', 'mechanics', 'can', 'not', 'be', 'complete', 'that', 'is', 'there', 'must', 'exist', 'some', 'elements', 'of', 'reality', 'that', 'are', 'not', 'described', 'by', 'quantum', 'mechanics', 'there', 'must', 'be', 'they', 'concluded', 'a', 'more', 'complete', 'description', 'of', 'physical', 'reality', 'behind', 'quantum', 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712.1319 | A homotopy theory for enrichment in simplicial modules | We put a Quillen model structure on the category of small categories enriched
in simplicial $k$-modules and non-negatively graded chain complexes of
$k$-modules, where $k$ is a commutative ring. The model structure is obtained
by transfer from the model structure on simplicial categories due to J.
Bergner.
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712.132 | A beginner's guide to forcing | This expository paper, aimed at the reader without much background in set
theory or logic, gives an overview of Cohen's proof (via forcing) of the
independence of the continuum hypothesis. It emphasizes the broad outlines and
the intuitive motivation while omitting most of the proofs. The reader must of
course consult standard textbooks for the missing details, but this article
provides a map of the forest so that the beginner will not get lost while
forging through the trees.
| math.LO math.HO | this expository paper aimed at the reader without much background in set theory or logic gives an overview of cohens proof via forcing of the independence of the continuum hypothesis it emphasizes the broad outlines and the intuitive motivation while omitting most of the proofs the reader must of course consult standard textbooks for the missing details but this article provides a map of the forest so that the beginner will not get lost while forging through the trees | [['this', 'expository', 'paper', 'aimed', 'at', 'the', 'reader', 'without', 'much', 'background', 'in', 'set', 'theory', 'or', 'logic', 'gives', 'an', 'overview', 'of', 'cohens', 'proof', 'via', 'forcing', 'of', 'the', 'independence', 'of', 'the', 'continuum', 'hypothesis', 'it', 'emphasizes', 'the', 'broad', 'outlines', 'and', 'the', 'intuitive', 'motivation', 'while', 'omitting', 'most', 'of', 'the', 'proofs', 'the', 'reader', 'must', 'of', 'course', 'consult', 'standard', 'textbooks', 'for', 'the', 'missing', 'details', 'but', 'this', 'article', 'provides', 'a', 'map', 'of', 'the', 'forest', 'so', 'that', 'the', 'beginner', 'will', 'not', 'get', 'lost', 'while', 'forging', 'through', 'the', 'trees']] | [-0.0789975775339452, 0.04910789772774582, -0.12205488184950303, 0.10535662628038303, -0.16794897328260577, -0.12651576150924887, 0.07001721590559906, 0.29412259753274766, -0.23968405828993955, -0.3043272889726147, 0.0948647377538035, -0.26514617209853253, -0.12435836352030688, 0.1624016945509688, -0.12978143347545137, -0.035592452544848656, 0.07359040101188459, 0.04769676566548363, 0.0008040142858613141, -0.26717117462083223, 0.32644603387865273, 0.13688499251781386, 0.23552651779985503, 0.09445400632139814, 0.08998832650942422, 0.060213567547594445, -0.13291789782881924, -0.016932150903098946, -0.10620944872798761, 0.15019338005045546, 0.2889918499579064, 0.20142178163168173, 0.3359899032578061, -0.4424533010755159, -0.13992334348208543, 0.06896804804807599, 0.14191062367650903, 0.14719090277706331, -0.01519560304770977, -0.25897005556410624, 0.07505285577211954, -0.14476417537920083, -0.12165374748550262, -0.03507526209165307, 0.0035093659652939324, -0.019315214355053366, -0.17463610316567782, -0.007675609280225597, 0.1889810905485308, 0.14378991638180577, 0.023442711026843966, -0.15815292713762838, 0.024716975336859025, 0.11255421664247502, 0.05502070045640951, 0.04345982792916932, 0.10174558635895388, -0.14462118430204596, -0.07019038868572892, 0.3910810528912499, -0.009522889802656784, -0.1647414527126128, 0.1872090149561792, -0.1285658990374849, -0.16369272858093056, 0.11612859990188404, 0.097264346731473, 0.06228420045521535, -0.17910504919960152, 0.0852524666417732, -0.017140186698282066, 0.18578802084821405, 0.04996962435071981, 0.031877211737151766, 0.2368262251249597, 0.15006804030058504, 0.04682935664100172, 0.12894062764494668, 0.030322402216128627, -0.05032628905499661, -0.3948339910446843, -0.16948801465443028, -0.13096332998910942, 0.03754367154917556, -0.020387025915279314, -0.18633035659462896, 0.42315566326385434, 0.23865281069014646, 0.15411688671506282, 0.11248697861262798, 0.32822291538579085, 0.060898743203105815, 0.010010001998206106, 0.02543016498955556, 0.21212667890506076, 0.111661161142814, 0.15808454014455217, -0.07614316450007542, 0.1098759941568103, 0.07273075110986357] |
712.1321 | Singularity theorems and the Lorentzian splitting theorem for the
Bakry-Emery-Ricci tensor | We consider the Hawking-Penrose singularity theorems and the Lorentzian
splitting theorem under the weaker curvature condition of nonnegative
Bakry-Emery-Ricci curvature $Ric_f^m$ in timelike directions. We prove that
they still hold when $m$ is finite, and when $m$ is infinite, they hold under
the additional assumption that $f$ is bounded from above.
| math.DG | we consider the hawkingpenrose singularity theorems and the lorentzian splitting theorem under the weaker curvature condition of nonnegative bakryemeryricci curvature ric_fm in timelike directions we prove that they still hold when m is finite and when m is infinite they hold under the additional assumption that f is bounded from above | [['we', 'consider', 'the', 'hawkingpenrose', 'singularity', 'theorems', 'and', 'the', 'lorentzian', 'splitting', 'theorem', 'under', 'the', 'weaker', 'curvature', 'condition', 'of', 'nonnegative', 'bakryemeryricci', 'curvature', 'ric_fm', 'in', 'timelike', 'directions', 'we', 'prove', 'that', 'they', 'still', 'hold', 'when', 'm', 'is', 'finite', 'and', 'when', 'm', 'is', 'infinite', 'they', 'hold', 'under', 'the', 'additional', 'assumption', 'that', 'f', 'is', 'bounded', 'from', 'above']] | [-0.22013130366802217, 0.17512778829783202, -0.11910029523074626, 0.14038502868032082, -0.08123651504516602, -0.24047057934105395, -0.03753286255523562, 0.3922540725022554, -0.2384892200678587, -0.16043167839292438, 0.13265316470293328, -0.2490223164111376, -0.10311568377539515, 0.16687665390782058, -0.11494362136349082, 0.00811726360116154, 0.057781696654856204, 0.11206272093579173, -0.08551946331281216, -0.2850962156127207, 0.43123471083119513, -0.0663566602487117, 0.24957805193960667, 0.17454023849917577, 0.10868882521986961, 0.02260611493140459, 0.052542888876050714, 0.04664183218032122, -0.19000863277498867, 0.03081302557257004, 0.20444721613079309, 0.09758358750026673, 0.2626778522506356, -0.3932029280811548, -0.20603351728990674, 0.20813777551054954, 0.06804615816101432, 0.03258399519138038, 0.010236246376298368, -0.2637522802501917, 0.21451353166718035, -0.0028694639541208744, -0.21656185522675514, -0.02604468334466219, -0.0026563186571002006, -0.02276572396978736, -0.24698219174519181, 0.11240632228553295, 0.26377572236582636, 0.0472782257758081, -0.11029796235263348, -0.1115218997374177, -0.04358369406312704, 0.04646455221460201, 0.10910821455763653, 0.010167306615039706, 0.06401645079255104, -0.05877019527368248, 0.004513654187321663, 0.3140067238546908, -0.12180413724854589, -0.27861977778375147, 0.0813683191058226, -0.18924785749986767, -0.16188076592050493, 0.08938860933296383, 0.06283795364201068, 0.1609719279408455, -0.056335266077076084, 0.2557756146765314, -0.09866030789911746, 0.06530938548967243, 0.18832275085151196, 0.022607880253344773, 0.1311160487262532, -0.01464930278249085, 0.20999267015606166, 0.11630891926586628, -0.0027690575551241638, -0.06477775806561112, -0.42121013268828394, -0.14337816616520285, -0.16631314307451248, 0.20111003985628487, -0.13693779991881455, -0.15835189159959553, 0.2479382335394621, 0.06394500323571264, 0.14561066776514053, 0.13933989573270084, 0.2452501168847084, 0.11909017043188214, 0.05394082534126937, 0.1576880648266524, 0.21381866604089736, 0.1910584768652916, 0.05741821520030498, -0.11490060169715434, 0.01359993484802544, 0.07015303228137781] |
712.1322 | Anomalous double peak structure in Nb/Ni superconductor/ferromagnet
tunneling DOS | We have experimentally investigated the density of states (DOS) in Nb/Ni
(S/F) bilayers as a function of Ni thickness, $d_F$. Our thinnest samples show
the usual DOS peak at $\pm\Delta_0$, whereas intermediate-thickness samples
have an anomalous ``double-peak'' structure. For thicker samples ($d_F \geq
3.5$ nm), we see an ``inverted'' DOS which has previously only been reported in
superconductor/weak-ferromagnet structures. We analyze the data using the
self-consistent non-linear Usadel equation and find that we are able to
quantitatively fit the features at $\pm\Delta_0$ if we include a large amount
of spin-orbit scattering in the model. Interestingly, we are unable to
reproduce the sub-gap structure through the addition of any parameter(s).
Therefore, the observed anomalous sub-gap structure represents new physics
beyond that contained in the present Usadel theory.
| cond-mat.supr-con | we have experimentally investigated the density of states dos in nbni sf bilayers as a function of ni thickness d_f our thinnest samples show the usual dos peak at pmdelta_0 whereas intermediatethickness samples have an anomalous doublepeak structure for thicker samples d_f geq 35 nm we see an inverted dos which has previously only been reported in superconductorweakferromagnet structures we analyze the data using the selfconsistent nonlinear usadel equation and find that we are able to quantitatively fit the features at pmdelta_0 if we include a large amount of spinorbit scattering in the model interestingly we are unable to reproduce the subgap structure through the addition of any parameters therefore the observed anomalous subgap structure represents new physics beyond that contained in the present usadel theory | [['we', 'have', 'experimentally', 'investigated', 'the', 'density', 'of', 'states', 'dos', 'in', 'nbni', 'sf', 'bilayers', 'as', 'a', 'function', 'of', 'ni', 'thickness', 'd_f', 'our', 'thinnest', 'samples', 'show', 'the', 'usual', 'dos', 'peak', 'at', 'pmdelta_0', 'whereas', 'intermediatethickness', 'samples', 'have', 'an', 'anomalous', 'doublepeak', 'structure', 'for', 'thicker', 'samples', 'd_f', 'geq', '35', 'nm', 'we', 'see', 'an', 'inverted', 'dos', 'which', 'has', 'previously', 'only', 'been', 'reported', 'in', 'superconductorweakferromagnet', 'structures', 'we', 'analyze', 'the', 'data', 'using', 'the', 'selfconsistent', 'nonlinear', 'usadel', 'equation', 'and', 'find', 'that', 'we', 'are', 'able', 'to', 'quantitatively', 'fit', 'the', 'features', 'at', 'pmdelta_0', 'if', 'we', 'include', 'a', 'large', 'amount', 'of', 'spinorbit', 'scattering', 'in', 'the', 'model', 'interestingly', 'we', 'are', 'unable', 'to', 'reproduce', 'the', 'subgap', 'structure', 'through', 'the', 'addition', 'of', 'any', 'parameters', 'therefore', 'the', 'observed', 'anomalous', 'subgap', 'structure', 'represents', 'new', 'physics', 'beyond', 'that', 'contained', 'in', 'the', 'present', 'usadel', 'theory']] | [-0.09624417702530007, 0.09156723709783678, -0.07818061016408391, 0.09449228909454446, -0.03307899474700699, -0.13501702578066557, 0.04288039039763179, 0.38964944691626263, -0.24840717919964772, -0.31977736086538827, -0.009184506351555714, -0.34038439032728557, -0.14869088625715957, 0.1574185034546421, 0.04105473767782821, 0.013914801333038533, -0.03190135422685626, -0.02741863380461076, -0.07392929761563657, -0.20880300052593784, 0.3152101547132842, 0.0066986865722803305, 0.299898248711662, 0.06448786299614633, 0.030100026907452733, -0.04051921262451615, 0.08148724338055023, 0.0408062678074739, -0.19264612278243104, 0.030407771713875202, 0.2375774508858382, -0.03603872679151045, 0.17588345332788763, -0.45822378446454887, -0.22075671743941264, 0.03149976274838335, 0.16587135749945386, 0.14717297418306383, -0.049936687550889175, -0.24030642209147088, 0.11409792417973341, -0.14111793295816197, -0.1528800343941958, -0.09269460118146705, 0.032858713476567485, -0.0347301276156404, -0.2217136169893507, 0.11727623141095897, 0.027255169383143305, 0.03085840847648558, -0.09609360509307781, -0.14551144297097307, -0.07168820066583632, 0.0654804107320846, -0.011020162751130973, -0.010940906633699283, 0.10981765309669321, -0.11218352090819265, -0.0816725161934241, 0.30312907586988735, -0.08485479830748967, -0.11361856672332668, 0.1499203489558985, -0.2265659534013601, -0.12053370554778786, 0.1485106743200392, 0.12613395190049634, 0.09540774224356549, -0.13485197065785512, 0.11304542965391177, -0.08219922924143278, 0.21943388800098576, 0.04692999466673517, 0.041235220442968804, 0.1660810890378522, 0.1872868754168148, 0.004237491713806254, 0.10451752004942658, -0.17096612935878153, -0.011430625540402825, -0.2793990358343867, -0.1258787090871502, -0.18072516530691113, 0.04639295446991799, -0.044403100901423596, -0.1712565643247217, 0.3930290748707432, 0.17701013953058567, 0.2500378812231948, 0.011812858442875145, 0.23778687930497966, 0.13291237616651982, 0.12800664419583122, 0.09339070130811362, 0.26659374462715424, 0.12653668999641401, 0.10910789437446987, -0.23254262922774452, 0.1205756784202989, -0.04199493848375182] |
712.1323 | Aperiodic order via dynamical systems: Diffraction for sets of finite
local complexity | We give an introduction into diffraction theory for aperiodic order. We focus
on an approach via dynamical systems and the phenomenon of pure point
diffraction. We review recent results and sketch proofs. We then present a new
uniform Wiener/Wintner type result generalizing various earlier results of this
type.
| math.DS math-ph math.MP | we give an introduction into diffraction theory for aperiodic order we focus on an approach via dynamical systems and the phenomenon of pure point diffraction we review recent results and sketch proofs we then present a new uniform wienerwintner type result generalizing various earlier results of this type | [['we', 'give', 'an', 'introduction', 'into', 'diffraction', 'theory', 'for', 'aperiodic', 'order', 'we', 'focus', 'on', 'an', 'approach', 'via', 'dynamical', 'systems', 'and', 'the', 'phenomenon', 'of', 'pure', 'point', 'diffraction', 'we', 'review', 'recent', 'results', 'and', 'sketch', 'proofs', 'we', 'then', 'present', 'a', 'new', 'uniform', 'wienerwintner', 'type', 'result', 'generalizing', 'various', 'earlier', 'results', 'of', 'this', 'type']] | [-0.0918194884082671, 0.09654942923528627, -0.14544845669297501, 0.04621987801268309, -0.08298528217710555, -0.07923616506013786, 0.08997461361044164, 0.355967477002802, -0.24951200109596053, -0.22988924485495468, 0.1300305686503028, -0.26084704968767863, -0.2399981008299316, 0.2428287589767327, -0.10270718047589374, 0.007021676370641217, 0.03046681685373187, -0.009836876726088425, -0.08665487647522241, -0.26562896266113967, 0.38502151318243705, -0.014042182235546838, 0.27169241121737286, 0.08656593175449719, 0.04387047993562495, 0.10477377376325119, -0.08146497521859904, 0.027395765607555706, -0.2603037078709652, 0.12675484701564224, 0.16444519356203577, 0.11065784208282518, 0.19550345768220723, -0.47066409536637366, -0.20778244715378, 0.04033120229723863, 0.10924671188210293, 0.1815149385559683, -0.14268780010024784, -0.28337038316143054, 0.09077538513035203, -0.18066936455822238, -0.17706190798586854, -0.12730326650974652, -0.04047167757137989, 0.01924933788056175, -0.23155124097441634, 0.03737091832833054, 0.2087320267328323, 0.11194735051443179, -0.08891752014763672, -0.12038942635990679, 0.13385228819242911, 0.05472085666648733, 0.017799424793338403, 0.009073410386918113, 0.028733820072375238, -0.055609366075562626, -0.19433891100925393, 0.30912199259425205, -0.04743662175800031, -0.12157267328287465, 0.21581159229390323, -0.10147038063344856, -0.20989489388011862, 0.07562417925995153, 0.15945144438107187, 0.17168493143981323, -0.13385891838697717, 0.0685287414113797, -0.08294095331802964, 0.16273119190312477, 0.043469070767362915, 0.07211881338904884, 0.15731118390491852, 0.19341461332320856, 0.052183708675632566, 0.18466330984180482, -0.030087174454820342, -0.09900893089555514, -0.3410169952160989, -0.12867306817012528, -0.10147362663701642, 0.09990527079207823, -0.07075623879730604, -0.16250680617910498, 0.3667033287153269, 0.16638199406831214, 0.18517535855062306, 0.055406071687078416, 0.2588491307105869, 0.13704451775023094, -0.043707445968417837, -0.035686108691152185, 0.15972185773716774, 0.17374981202495596, 0.1131485869991593, -0.12429245542928886, -0.0429879407286838, 0.19143847590506388] |
712.1324 | Koszul differential graded algebras and BGG correspondence | The concept of Koszul differential graded algebra (Koszul DG algebra) is
introduced. Koszul DG algebras exist extensively, and have nice properties
similar to the classic Koszul algebras. A DG version of the Koszul duality is
proved. When the Koszul DG algebra $A$ is AS-regular, the Ext-algebra $E$ of
$A$ is Frobenius. In this case, similar to the classical BGG correspondence,
there is an equivalence between the stable category of finitely generated left
$E$-modules, and the quotient triangulated category of the full triangulated
subcategory of the derived category of right DG $A$-modules consisting of all
compact DG modules modulo the full triangulated subcategory consisting of all
the right DG modules with finite dimensional cohomology. The classical BGG
correspondence can derived from the DG version.
| math.RA math.KT | the concept of koszul differential graded algebra koszul dg algebra is introduced koszul dg algebras exist extensively and have nice properties similar to the classic koszul algebras a dg version of the koszul duality is proved when the koszul dg algebra a is asregular the extalgebra e of a is frobenius in this case similar to the classical bgg correspondence there is an equivalence between the stable category of finitely generated left emodules and the quotient triangulated category of the full triangulated subcategory of the derived category of right dg amodules consisting of all compact dg modules modulo the full triangulated subcategory consisting of all the right dg modules with finite dimensional cohomology the classical bgg correspondence can derived from the dg version | [['the', 'concept', 'of', 'koszul', 'differential', 'graded', 'algebra', 'koszul', 'dg', 'algebra', 'is', 'introduced', 'koszul', 'dg', 'algebras', 'exist', 'extensively', 'and', 'have', 'nice', 'properties', 'similar', 'to', 'the', 'classic', 'koszul', 'algebras', 'a', 'dg', 'version', 'of', 'the', 'koszul', 'duality', 'is', 'proved', 'when', 'the', 'koszul', 'dg', 'algebra', 'a', 'is', 'asregular', 'the', 'extalgebra', 'e', 'of', 'a', 'is', 'frobenius', 'in', 'this', 'case', 'similar', 'to', 'the', 'classical', 'bgg', 'correspondence', 'there', 'is', 'an', 'equivalence', 'between', 'the', 'stable', 'category', 'of', 'finitely', 'generated', 'left', 'emodules', 'and', 'the', 'quotient', 'triangulated', 'category', 'of', 'the', 'full', 'triangulated', 'subcategory', 'of', 'the', 'derived', 'category', 'of', 'right', 'dg', 'amodules', 'consisting', 'of', 'all', 'compact', 'dg', 'modules', 'modulo', 'the', 'full', 'triangulated', 'subcategory', 'consisting', 'of', 'all', 'the', 'right', 'dg', 'modules', 'with', 'finite', 'dimensional', 'cohomology', 'the', 'classical', 'bgg', 'correspondence', 'can', 'derived', 'from', 'the', 'dg', 'version']] | [-0.1800273471186316, -0.0815402028609656, -0.06183872181104451, 0.09670988654687517, -0.11935901885655353, -0.18741782683863994, -0.15942036315071872, 0.3559406595986064, -0.5338467553833394, -0.14431688898220296, 0.09438986449627342, -0.14620432207678877, -0.06767537883043713, 0.12723852154927526, -0.2928388544805045, -0.13692351640391398, 0.13174198291120612, 0.1323858688895901, -0.07844461216704875, -0.2496376887448435, 0.46808532204448694, -0.00995821073060719, 0.24294547468605565, -0.01399710596486078, 0.15785185890499412, -0.02800137004852901, -0.020093406845883625, 0.03167049080981472, -0.1478882107620574, 0.1325801064116441, 0.3887246608794705, -0.015922097527096425, 0.16675153474524101, -0.34770296839618586, 0.026755961111549865, 0.19835744199259736, 0.1390211083273199, -0.03875736974755196, -0.038493865540599435, -0.28014256191682224, 0.18903812417397048, -0.3091195341487362, -0.05215110348128691, 0.004995493304431136, 0.15807731170964434, -0.0042104773844281835, -0.2708345813055833, -0.018646908632472037, 0.08092139738543731, 0.18206528241829417, -0.10141731920742952, -0.06392319381948773, -0.20451036163007583, 0.050326886003112, -0.13009160909067263, -0.01835877542966992, 0.09830582828631973, -0.09426225828603374, -0.16623914159258935, 0.3680329620232427, -0.018254055993676913, -0.2275271171143627, 0.18143541823572865, -0.21230943716979184, -0.12812698438263884, 0.11636042627846686, -0.12893350226274594, 0.24515831118782724, 0.021749390070908703, 0.29381859104046826, -0.202122833051414, -0.009200138312469169, 0.10052706270168225, 0.029349432107273157, 0.12219467079569775, 0.16291529814167538, 0.002090228935400766, 0.1234018085126924, 0.03220557909254439, -0.035192932274828594, -0.36250755340769525, -0.22931851924404623, -0.04941096341396432, 0.15996888664203726, -0.13346623792857257, -0.16321143614718828, 0.40866192418900205, 0.11454208415215532, 0.10030722300847614, 0.1801838551958402, 0.22782225326286645, 0.04471460967968271, 0.13353506230363033, 0.016247068399305994, 0.10503589090838181, 0.40070253101790826, 0.003298484799792854, -0.06733221462804719, -0.07767441497388773, 0.3560076584070315] |
712.1325 | Quantum Circuits Architecture | We present a method for optimizing quantum circuits architecture. The method
is based on the notion of "quantum comb", which describes a circuit board in
which one can insert variable subcircuits. The method allows one to efficiently
address novel kinds of quantum information processing tasks, such as
storing-retrieving, and cloning of channels.
| quant-ph | we present a method for optimizing quantum circuits architecture the method is based on the notion of quantum comb which describes a circuit board in which one can insert variable subcircuits the method allows one to efficiently address novel kinds of quantum information processing tasks such as storingretrieving and cloning of channels | [['we', 'present', 'a', 'method', 'for', 'optimizing', 'quantum', 'circuits', 'architecture', 'the', 'method', 'is', 'based', 'on', 'the', 'notion', 'of', 'quantum', 'comb', 'which', 'describes', 'a', 'circuit', 'board', 'in', 'which', 'one', 'can', 'insert', 'variable', 'subcircuits', 'the', 'method', 'allows', 'one', 'to', 'efficiently', 'address', 'novel', 'kinds', 'of', 'quantum', 'information', 'processing', 'tasks', 'such', 'as', 'storingretrieving', 'and', 'cloning', 'of', 'channels']] | [-0.1252997161491829, 0.07905200090916718, -0.08970052230299688, 0.011929685042203203, -0.06425737973083467, -0.2702697322466502, 0.07367813355271138, 0.39436810624365715, -0.28678596826891106, -0.3238095624701065, 0.07340418762646105, -0.2208272115211573, -0.20180316044784644, 0.2871074951162525, -0.09550178510264731, 0.1576032207219624, 0.0551173630987714, 0.03344161288958846, -0.027188849471071187, -0.21704040902356306, 0.2883592091875114, 0.012391614967354518, 0.31417341053705006, 0.000663686616747987, 0.1685340204641369, 0.00992349052217369, -0.007407619718316139, -0.028115608966818043, -0.07013978519221294, 0.18495244376690073, 0.2583673503615108, 0.1998389877342418, 0.30411039960260194, -0.43412109488603096, -0.20370958975571044, 0.07615788841583565, 0.11430484754051648, 0.17742609705173357, -0.007835301088954449, -0.27444378896525096, 0.05141589912932878, -0.14568257852293112, -0.026152593581298112, -0.12737245364662478, -0.05062751833568601, -0.01872546346310307, -0.24887924955463878, -0.019494491601910663, 0.07624205292257316, -0.00960174971716661, 0.03724040408668967, -0.04190038969995929, 0.11727423699773556, 0.1443796453760097, -0.14771249837826425, -0.0051168667211872985, 0.17986133332163387, -0.10191857425824684, -0.25304948964028384, 0.36111362386659224, -0.023021653079993876, -0.2001131837274514, 0.11552038621248714, -0.025037932323803212, -0.14054060292740664, 0.059637353956407194, 0.2077662141299715, 0.11493005048410565, -0.1966512637651142, 0.06149104035199236, 0.006559346346001999, 0.2301113689866136, 0.03476023580878973, 0.10905614540017411, 0.19687175644817306, 0.20102712285577082, 0.08629095764355917, 0.238294043377334, -0.11939361002570127, -0.12798060624695876, -0.260514019627818, -0.24157638202293538, -0.21258041898117347, 0.020362694199909184, -0.036683988314311425, -0.18402191127339998, 0.43212268559956085, 0.19528610864654183, 0.15400006507943367, 0.005075430593398564, 0.36996804345764367, 0.10230905334145635, 0.13447783571467095, 0.07778304160627372, 0.11009007927906864, 0.11499003602155283, 0.09381512560717323, -0.22706021672553, 0.048793447286109716, 0.10559612653199948] |
712.1326 | Mirror World with Broken Mirror Parity, E(6) Unification and Cosmology | In the present paper we have developed a concept of parallel ordinary (O) and
mirror (M) worlds. We have shown that in the case of a broken mirror parity
(MP), the evolutions of fine structure constants in the O- and M-worlds are not
identical. It is assumed that E_6-unification inspired by superstring theory
restores the broken MP at the scale \sim 10^{18} GeV, what unavoidably leads to
the different E_6-breakdowns at this scale: E_6 \to SO(10)\times U(1)_Z - in
the O-world, and E'_6 \to SU(6)'\times SU(2)'_Z - in the M-world. Considering
only asymptotically free theories, we have presented the running of all the
inverse gauge constants \alpha_i^{-1} in the one-loop approximation. Then a
`quintessence' scenario is discussed for our model of accelerating universe.
Such a scenario is related with an axion (`acceleron') of a new gauge group
SU(2)'_Z which has a coupling constant g_Z extremely growing at the scale
\Lambda_Z\sim 10^{-3} eV.
| hep-ph astro-ph | in the present paper we have developed a concept of parallel ordinary o and mirror m worlds we have shown that in the case of a broken mirror parity mp the evolutions of fine structure constants in the o and mworlds are not identical it is assumed that e_6unification inspired by superstring theory restores the broken mp at the scale sim 1018 gev what unavoidably leads to the different e_6breakdowns at this scale e_6 to so10times u1_z in the oworld and e_6 to su6times su2_z in the mworld considering only asymptotically free theories we have presented the running of all the inverse gauge constants alpha_i1 in the oneloop approximation then a quintessence scenario is discussed for our model of accelerating universe such a scenario is related with an axion acceleron of a new gauge group su2_z which has a coupling constant g_z extremely growing at the scale lambda_zsim 103 ev | [['in', 'the', 'present', 'paper', 'we', 'have', 'developed', 'a', 'concept', 'of', 'parallel', 'ordinary', 'o', 'and', 'mirror', 'm', 'worlds', 'we', 'have', 'shown', 'that', 'in', 'the', 'case', 'of', 'a', 'broken', 'mirror', 'parity', 'mp', 'the', 'evolutions', 'of', 'fine', 'structure', 'constants', 'in', 'the', 'o', 'and', 'mworlds', 'are', 'not', 'identical', 'it', 'is', 'assumed', 'that', 'e_6unification', 'inspired', 'by', 'superstring', 'theory', 'restores', 'the', 'broken', 'mp', 'at', 'the', 'scale', 'sim', '1018', 'gev', 'what', 'unavoidably', 'leads', 'to', 'the', 'different', 'e_6breakdowns', 'at', 'this', 'scale', 'e_6', 'to', 'so10times', 'u1_z', 'in', 'the', 'oworld', 'and', 'e_6', 'to', 'su6times', 'su2_z', 'in', 'the', 'mworld', 'considering', 'only', 'asymptotically', 'free', 'theories', 'we', 'have', 'presented', 'the', 'running', 'of', 'all', 'the', 'inverse', 'gauge', 'constants', 'alpha_i1', 'in', 'the', 'oneloop', 'approximation', 'then', 'a', 'quintessence', 'scenario', 'is', 'discussed', 'for', 'our', 'model', 'of', 'accelerating', 'universe', 'such', 'a', 'scenario', 'is', 'related', 'with', 'an', 'axion', 'acceleron', 'of', 'a', 'new', 'gauge', 'group', 'su2_z', 'which', 'has', 'a', 'coupling', 'constant', 'g_z', 'extremely', 'growing', 'at', 'the', 'scale', 'lambda_zsim', '103', 'ev']] | [-0.14330743284512718, 0.2224222621445894, -0.060473861687556925, 0.09596769966748955, -0.0551233232863957, -0.1586494407613388, -0.001788597744826202, 0.3357391933588625, -0.2150444259651664, -0.32103120969595755, 0.06797126322813636, -0.22943909133651427, -0.08718175843332698, 0.10838837333682443, -0.01723040687553838, -0.016203186604618825, -0.03694663295636372, 0.050669949961870554, -0.05404534254565227, -0.2502592574713156, 0.2875065419183043, 0.06725719802993901, 0.2539895573554903, 0.03838942391278387, 0.10847350842712232, -0.05466056517230309, 0.02895962519786593, -0.04116279456675762, -0.11600013552156363, 0.09119556658603505, 0.20266864042678456, 0.052375293900670646, 0.18618589920327575, -0.38737118585022534, -0.16048217140974438, 0.11453490566658679, 0.16073492788361246, 0.09505438606878806, -0.06412834737633615, -0.2576950125152334, 0.12585233144706026, -0.1798596121054016, -0.13848784167262518, -0.015564894976037346, -4.048572004246874e-05, -0.09666796506312834, -0.2556084870146176, 0.06823277541081466, -0.008404297202977598, 0.0241163838528046, -0.03818513675700544, -0.09421512121524737, 0.0025287929797215628, 0.01825375108960636, 0.12857472318854993, 0.052296310257749494, 0.08722034072009277, -0.13671290850168613, -0.09731287041641011, 0.4388578094377303, -0.09492742948766265, -0.15749723853251965, 0.14898677463136412, -0.12514772454156306, -0.18599948813492545, 0.10697188352069938, 0.09145018280338064, 0.13050561621911874, -0.09869633435761099, 0.23315556900976478, -0.0354623822431986, 0.15739317220037005, 0.0762648373956279, -0.003927459915764123, 0.20570251417225924, 0.1376016073271024, 0.039155253435668794, 0.041522038297895594, -0.014706740570793143, -0.08505189166955497, -0.3604703116021594, -0.11525150664074689, -0.12692398386991577, 0.08687933315976355, -0.09797388424300572, -0.12923992430964693, 0.36867348963812907, 0.10471573550583554, 0.20800686321937206, 0.04098753400580945, 0.20588850122908142, 0.09548427322705207, 0.10513321060503573, 0.06572841895034626, 0.2777705257505077, 0.11385098510884306, 0.09593767137623069, -0.23112364824493828, -0.046932260949342025, 0.08841167179215066] |
712.1327 | Classification of Cohomogeneity One Manifolds in Low Dimensions | A cohomogeneity one manifold is a manifold with the action of a compact Lie
group, whose quotient is one dimensional. Such manifolds are of interest in
Riemannian geometry, in the context of nonnegative sectional curvature, as well
as in other areas of geometry and in physics. In this paper we classify compact
simply connected cohomogeneity one manifolds in dimensions 5, 6 and 7. We also
show that all such manifolds admit metrics of nonnegative sectional curvature,
with the possible exception of two families of manifolds.
| math.DG | a cohomogeneity one manifold is a manifold with the action of a compact lie group whose quotient is one dimensional such manifolds are of interest in riemannian geometry in the context of nonnegative sectional curvature as well as in other areas of geometry and in physics in this paper we classify compact simply connected cohomogeneity one manifolds in dimensions 5 6 and 7 we also show that all such manifolds admit metrics of nonnegative sectional curvature with the possible exception of two families of manifolds | [['a', 'cohomogeneity', 'one', 'manifold', 'is', 'a', 'manifold', 'with', 'the', 'action', 'of', 'a', 'compact', 'lie', 'group', 'whose', 'quotient', 'is', 'one', 'dimensional', 'such', 'manifolds', 'are', 'of', 'interest', 'in', 'riemannian', 'geometry', 'in', 'the', 'context', 'of', 'nonnegative', 'sectional', 'curvature', 'as', 'well', 'as', 'in', 'other', 'areas', 'of', 'geometry', 'and', 'in', 'physics', 'in', 'this', 'paper', 'we', 'classify', 'compact', 'simply', 'connected', 'cohomogeneity', 'one', 'manifolds', 'in', 'dimensions', '5', '6', 'and', '7', 'we', 'also', 'show', 'that', 'all', 'such', 'manifolds', 'admit', 'metrics', 'of', 'nonnegative', 'sectional', 'curvature', 'with', 'the', 'possible', 'exception', 'of', 'two', 'families', 'of', 'manifolds']] | [-0.17776353389901273, 0.07662644822369603, -0.021525899233186947, 0.06436073363292963, -0.12244700808625887, -0.1827814914560055, -0.11754815280711388, 0.4068651978583897, -0.21868657048052068, -0.26123631004901493, 0.18770744091940714, -0.31980051023556905, -0.19839902459369863, 0.19046679049839868, -0.16183236734393766, -0.022555804647067013, 0.041740667173529374, 0.17748480268261013, -0.08021666107165135, -0.2868970460313208, 0.54280502413783, -0.08541162850006538, 0.18657989208860432, 0.07423357319305925, 0.14751397624940557, -0.08125468879828558, 0.00796436385854202, 0.09507681682486745, -0.10448124089101946, 0.13537935528575498, 0.29585951371666264, 0.05672076291897717, 0.18082778649952483, -0.3632161343798918, -0.24295921955695923, 0.16582894619444713, 0.12028138100114816, 0.018722042397541157, -0.028014881382970248, -0.26967386614312144, 0.06561394145931392, -0.11212772000581026, -0.1927654629244524, -0.0744693088454797, 0.03328964423169108, -0.050478249459582215, -0.14610875851529487, 0.02286595313994707, 0.11154193920083344, 0.06270787559230538, -0.09709078168825191, -0.13098575668957305, -0.05353658085634165, 0.11906329405165332, 0.026744156347259, 0.04441762904581778, 0.09956467943813871, -0.044392660129147665, -0.16516768374644658, 0.356661750502227, -0.09227431116296965, -0.3333163852639058, 0.1660124964792939, -0.162781318342861, -0.1979229170774274, 0.1087548755657147, 0.17696110790266711, 0.22812134884297847, -0.060648475549019434, 0.1528513590353267, -0.022895088572712507, 0.055139326698639815, 0.10883767609758412, 0.011152983024058974, 0.14152689878554905, 0.1626717377344475, 0.16651276925797848, 0.08085600126822315, -0.02536315501338857, -0.0550522512763136, -0.34933135544552524, -0.23547298219054938, -0.14168094625860891, 0.19973239672972876, -0.16771270455210469, -0.17855757403680506, 0.39896611545015787, -0.044748068111263875, 0.22842626422095824, 0.08745572291972006, 0.24211670432020635, -0.05992698100505068, 0.05807611980091999, 0.12485984102548922, 0.2050625253633103, 0.2029047198155347, -0.01573672610170701, -0.04148072097450495, -0.12144199356998261, 0.10536006495685261] |
712.1328 | When Are Torsionless Modules Projective? | In this paper, we study the problem when a finitely generated torsionless
module is projective. Let $\Lambda$ be an Artinian local algebra with radical
square zero. Then a finitely generated torsionless $\Lambda$-module $M$ is
projective if ${\rm Ext^1_\Lambda}(M,M)=0$. For a commutative Artinian ring
$\Lambda$, a finitely generated torsionless $\Lambda$-module $M$ is projective
if the following conditions are satisfied: (1) ${\rm
Ext}^i_{\Lambda}(M,\Lambda)=0$ for $i=1,2,3$; and (2) ${\rm
Ext}^i_{\Lambda}(M,M)=0$ for $i=1,2$. As a consequence of this result, we have
that for a commutative Artinian ring $\Lambda$, a finitely generated Gorenstein
projective $\Lambda$-module is projective if and only if it is selforthogonal.
| math.RA math.RT | in this paper we study the problem when a finitely generated torsionless module is projective let lambda be an artinian local algebra with radical square zero then a finitely generated torsionless lambdamodule m is projective if rm ext1_lambdamm0 for a commutative artinian ring lambda a finitely generated torsionless lambdamodule m is projective if the following conditions are satisfied 1 rm exti_lambdamlambda0 for i123 and 2 rm exti_lambdamm0 for i12 as a consequence of this result we have that for a commutative artinian ring lambda a finitely generated gorenstein projective lambdamodule is projective if and only if it is selforthogonal | [['in', 'this', 'paper', 'we', 'study', 'the', 'problem', 'when', 'a', 'finitely', 'generated', 'torsionless', 'module', 'is', 'projective', 'let', 'lambda', 'be', 'an', 'artinian', 'local', 'algebra', 'with', 'radical', 'square', 'zero', 'then', 'a', 'finitely', 'generated', 'torsionless', 'lambdamodule', 'm', 'is', 'projective', 'if', 'rm', 'ext1_lambdamm0', 'for', 'a', 'commutative', 'artinian', 'ring', 'lambda', 'a', 'finitely', 'generated', 'torsionless', 'lambdamodule', 'm', 'is', 'projective', 'if', 'the', 'following', 'conditions', 'are', 'satisfied', '1', 'rm', 'exti_lambdamlambda0', 'for', 'i123', 'and', '2', 'rm', 'exti_lambdamm0', 'for', 'i12', 'as', 'a', 'consequence', 'of', 'this', 'result', 'we', 'have', 'that', 'for', 'a', 'commutative', 'artinian', 'ring', 'lambda', 'a', 'finitely', 'generated', 'gorenstein', 'projective', 'lambdamodule', 'is', 'projective', 'if', 'and', 'only', 'if', 'it', 'is', 'selforthogonal']] | [-0.22705968622661507, 0.10501582056789023, -0.04558956427354133, 0.028255755318241427, -0.06538357982208254, -0.27038970407738816, -0.18368766990291382, 0.3998576569138095, -0.4359964244843771, -0.05379935611078205, 0.1302688676357017, -0.2576636411734701, -0.03849357698345557, 0.21266798257420305, -0.12647891401623687, -0.10690643437070928, 0.06997174557909602, 0.17401423804888813, -0.03696554561368733, -0.33278278599027544, 0.41806378405696404, -0.03912857561954297, 0.1347462092914308, 0.049867632563594576, 0.1735948973170404, 0.006843577522280005, 0.039137778624232546, 0.05169040700760282, -0.2256285676852864, 0.020143793319221004, 0.37558905840463314, 0.1155329894196863, 0.2136017387577643, -0.32560779656826827, -0.045172872623273484, 0.3439007602428319, 0.1686248595797224, -0.0443909044455116, -0.036264570626372006, -0.24457682542561088, 0.2528825930688375, -0.24511849771564206, -0.11905547726200894, -0.014222756231902167, 0.18243233762526265, -0.03941103803663282, -0.3415244114682234, -0.015738423467458535, 0.11860066106116089, 0.21113875440399474, 0.009679150185547769, -0.01860630746523384, -0.11616426351489888, -0.026793296333380567, -0.10023242009386497, 0.0530030497344948, 0.12996848262264393, -0.02788207403985628, -0.09422936796787933, 0.3766647025574154, -0.06860634441060635, -0.2738373395235006, 0.05968327512285517, -0.20877532241865993, -0.10564312401402276, 0.14286039121604213, -0.06680523361865198, 0.18309411929900912, 0.020677928397314343, 0.3133104324648836, -0.2670898032168528, 0.10856520407833159, 0.10765985094379478, -0.030499267678048152, 0.15192369724779078, 0.08330573921800048, 0.09603836042333569, 0.05809612614029902, 0.07061442562068503, 0.12533574338128042, -0.43184731823081773, -0.19355307423393242, -0.1472395944147138, 0.27083497268419404, -0.06136820405148077, -0.08822070082533173, 0.37986917365924455, 0.06546454315442436, 0.1512351301983775, 0.10131843585016516, 0.2464172065568467, -0.0029240330683630114, 0.02810578787951575, 0.05917074311582837, 0.07301047566822187, 0.2553549397077101, -0.10670532092141609, -0.07365175715434209, -0.05988600122994588, 0.20111383671367852] |
712.1329 | Strong non-collapsing and uniform Sobolev inequalities for Ricci flow
with surgeries | We prove a uniform Sobolev inequality for Ricci flow, which is independent of
the number of surgeries. As an application, under less assumptions, a
non-collapsing result stronger than Perelman's $\kappa$ non-collapsing with
surgery is derived. The proof is shorter and seems more accessible. The result
also improves some earlier ones where the Sobolev inequality depended on the
number of surgeries.
| math.DG math.AP | we prove a uniform sobolev inequality for ricci flow which is independent of the number of surgeries as an application under less assumptions a noncollapsing result stronger than perelmans kappa noncollapsing with surgery is derived the proof is shorter and seems more accessible the result also improves some earlier ones where the sobolev inequality depended on the number of surgeries | [['we', 'prove', 'a', 'uniform', 'sobolev', 'inequality', 'for', 'ricci', 'flow', 'which', 'is', 'independent', 'of', 'the', 'number', 'of', 'surgeries', 'as', 'an', 'application', 'under', 'less', 'assumptions', 'a', 'noncollapsing', 'result', 'stronger', 'than', 'perelmans', 'kappa', 'noncollapsing', 'with', 'surgery', 'is', 'derived', 'the', 'proof', 'is', 'shorter', 'and', 'seems', 'more', 'accessible', 'the', 'result', 'also', 'improves', 'some', 'earlier', 'ones', 'where', 'the', 'sobolev', 'inequality', 'depended', 'on', 'the', 'number', 'of', 'surgeries']] | [-0.20939969552952487, 0.12253717458249108, -0.14622519550224145, 0.10765332998513864, -0.12298494002316147, -0.19206518619321286, -0.023970766427616277, 0.28362975756948194, -0.20222726830591758, -0.2709075817877116, 0.16531583505372208, -0.25125240155030043, -0.06660746361594647, 0.3221982049445311, -0.16334929840328793, 0.012445110113670428, 0.08445080776000395, 0.08212490807442616, -0.043098060750829364, -0.31447480998467653, 0.3814227636748304, -0.0023333351438244183, 0.23426968893036246, 0.15488069775650123, 0.008598660382752617, -0.012247940238254765, -0.01938508901124199, 0.016534835348526636, -0.2608013661578298, 0.12922347540346285, 0.15923807174743462, 0.0723873235371381, 0.2664558717389203, -0.3807957605458796, -0.21849828267780444, 0.1571672106316934, 0.12358761007587114, 0.038701683925076696, -0.012745266115962295, -0.29643394287365177, 0.08775373304573199, -0.0631121573659281, -0.15367518871304733, -0.044379616358006996, 0.015841292574380834, 0.022672596100407342, -0.26384084004287917, 0.11960207914574615, 0.16417210603443286, 0.0971342103711019, -0.09174901239263515, -0.12517462274990976, -0.018873292207717895, 0.03509276427794248, 0.12854373508210604, 0.11496923819649965, 0.13249603483515482, -0.10013233746091525, -0.05049447546092172, 0.3037069514238586, -0.07043769587495868, -0.24313499871641397, 0.13669251812001068, -0.09857360484699408, -0.16335250917666902, 0.11375027778558433, 0.04100947437497477, 0.2027275152814885, -0.05564520108358314, 0.03950934158541107, -0.12303522535754989, 0.17969450689852237, 0.14232231218678257, 0.04706231729748348, -0.018026838758184265, 0.1309886598493904, 0.26265671250099937, 0.16740418022964149, 0.02183808011080449, -0.07709234938956797, -0.3526935566837589, -0.23477417471197745, -0.1988876848947257, 0.1782087418095519, -0.205770506150778, -0.13668493288375128, 0.2860652164245645, 0.0417087662499398, 0.15856457931173887, 0.2004608349428357, 0.2545518115783731, 0.06850445681678442, 0.05312669018749148, 0.1093914106177787, 0.21854247335431864, 0.15999428412566583, 0.09761977382780364, -0.05436310376195858, 0.08966076736493657, 0.18641658114890258] |
712.133 | Discovery of a bipolar X-ray jet from the T Tauri star DG Tau | We have obtained and analyzed Chandra ACIS-S observations of the strongly
accreting classical T Tauri star DG Tau. Our principal goals are to map the
immediate environment of the star to characterize possible extended X-rays
formed in the jet, and to re-visit the anomalous, doubly absorbed X-ray
spectrum of DG Tau itself. We combine our new ACIS-S data with a data set
previously obtained. The data are superimposed to obtain flux and hardness
images. Separate X-ray spectra are extracted for DG Tau and areas outside its
point spread function. We detect a prominent X-ray jet at a position angle of
PA ~225 deg (tentatively suggested by Guedel et al. 2005), coincident with the
optical jet axis. We also identify a counter jet at PA = 45 deg. The X-ray jets
are detected out to a distance of ~5" from the star, their sources being
extended at the ACIS-S resolution. The jet spectra are soft, with a best-fit
electron temperature of 3.4 MK. We find evidence for excess absorption of the
counter jet. The spectrum of the DG Tau point source shows two components with
largely different temperatures and absorption column densities. The similar
temperatures and small absorbing gas columns of the jet sources and the soft
component of the "stellar" source suggest that these sources are related,
produced either by shocks or by magnetic heating in the jets. Cooling estimates
suggest that the pressure in the hot gas contributes to jet expansion. The hard
"stellar" component, on the other hand, is associated with a stellar corona or
magnetosphere. The excessive photoelectric absorption of this component
suggests the presence of dust-depleted accretion streams above coronal magnetic
fields.
| astro-ph | we have obtained and analyzed chandra aciss observations of the strongly accreting classical t tauri star dg tau our principal goals are to map the immediate environment of the star to characterize possible extended xrays formed in the jet and to revisit the anomalous doubly absorbed xray spectrum of dg tau itself we combine our new aciss data with a data set previously obtained the data are superimposed to obtain flux and hardness images separate xray spectra are extracted for dg tau and areas outside its point spread function we detect a prominent xray jet at a position angle of pa 225 deg tentatively suggested by guedel et al 2005 coincident with the optical jet axis we also identify a counter jet at pa 45 deg the xray jets are detected out to a distance of 5 from the star their sources being extended at the aciss resolution the jet spectra are soft with a bestfit electron temperature of 34 mk we find evidence for excess absorption of the counter jet the spectrum of the dg tau point source shows two components with largely different temperatures and absorption column densities the similar temperatures and small absorbing gas columns of the jet sources and the soft component of the stellar source suggest that these sources are related produced either by shocks or by magnetic heating in the jets cooling estimates suggest that the pressure in the hot gas contributes to jet expansion the hard stellar component on the other hand is associated with a stellar corona or magnetosphere the excessive photoelectric absorption of this component suggests the presence of dustdepleted accretion streams above coronal magnetic fields | [['we', 'have', 'obtained', 'and', 'analyzed', 'chandra', 'aciss', 'observations', 'of', 'the', 'strongly', 'accreting', 'classical', 't', 'tauri', 'star', 'dg', 'tau', 'our', 'principal', 'goals', 'are', 'to', 'map', 'the', 'immediate', 'environment', 'of', 'the', 'star', 'to', 'characterize', 'possible', 'extended', 'xrays', 'formed', 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712.1331 | Super-linear elliptic equation for the Pucci operator without growth
restrictions for the data | In this paper we deal with existence and uniqueness of solution to
super-linear problems for the Pucci operator: $$ -\M^+(D^2u)+|u|^{s-1}u=f(x)
\quad {in} \RR^n, $$ where $s>1$ and $f$ satisfies only local integrability
conditions. This result is well known when, instead of the Pucci operator, the
Laplacian or a divergence form operator is considered. Our existence results
use the Alexandroff-Bakelman-Pucci inequality since we cannot use any
variational formulation. For radially symmetric $f$ we can prove our results
under less local integrability assumptions, taking advantage of an appropriate
variational formulation. We also obtain an existence result with boundary
explosion in smooth domains.
| math.AP | in this paper we deal with existence and uniqueness of solution to superlinear problems for the pucci operator md2uus1ufx quad in rrn where s1 and f satisfies only local integrability conditions this result is well known when instead of the pucci operator the laplacian or a divergence form operator is considered our existence results use the alexandroffbakelmanpucci inequality since we cannot use any variational formulation for radially symmetric f we can prove our results under less local integrability assumptions taking advantage of an appropriate variational formulation we also obtain an existence result with boundary explosion in smooth domains | [['in', 'this', 'paper', 'we', 'deal', 'with', 'existence', 'and', 'uniqueness', 'of', 'solution', 'to', 'superlinear', 'problems', 'for', 'the', 'pucci', 'operator', 'md2uus1ufx', 'quad', 'in', 'rrn', 'where', 's1', 'and', 'f', 'satisfies', 'only', 'local', 'integrability', 'conditions', 'this', 'result', 'is', 'well', 'known', 'when', 'instead', 'of', 'the', 'pucci', 'operator', 'the', 'laplacian', 'or', 'a', 'divergence', 'form', 'operator', 'is', 'considered', 'our', 'existence', 'results', 'use', 'the', 'alexandroffbakelmanpucci', 'inequality', 'since', 'we', 'can', 'not', 'use', 'any', 'variational', 'formulation', 'for', 'radially', 'symmetric', 'f', 'we', 'can', 'prove', 'our', 'results', 'under', 'less', 'local', 'integrability', 'assumptions', 'taking', 'advantage', 'of', 'an', 'appropriate', 'variational', 'formulation', 'we', 'also', 'obtain', 'an', 'existence', 'result', 'with', 'boundary', 'explosion', 'in', 'smooth', 'domains']] | [-0.11997995267584159, 0.005234955741408547, -0.07281190194474647, 0.06226158932763703, -0.12348259040582164, -0.1264958571861213, -0.03369147994683827, 0.34693920571233466, -0.2852814921120904, -0.22006809107997283, 0.1649216121283588, -0.26382438597098296, -0.1537098984675938, 0.16225371239659359, -0.11539566069746351, 0.048006537436906783, 0.0883661912901479, 0.03247165706540857, -0.12011465395810272, -0.22611227420120672, 0.37725184748557455, -0.07322901023589835, 0.21275495024093863, 0.11072808587436603, 0.09463687512871562, 0.004695980553040091, 0.07648135276454292, -0.007161924919607688, -0.1927824994378096, 0.0994388988688208, 0.19728417297331047, 0.11201902378436025, 0.315032684130176, -0.43263352179557696, -0.20660691008527707, 0.17800252706558461, 0.13629405225189972, 0.05474055713821887, -0.04133444878377249, -0.29611964449666595, 0.11642536725278715, -0.0876525706915679, -0.2208785352354147, -0.08936110041009224, -0.011355526569508473, 0.019046987939093794, -0.3715306332724511, 0.12791284277520798, 0.14734225804865247, 0.018194430555235976, -0.14972704388581368, -0.07738315998291483, -0.0005734471737274102, 0.03143228821566908, 0.05095431915180264, 0.05265850657169536, 0.018332922341758196, -0.08428256759153945, -0.06396714201415604, 0.32342906463511134, -0.0796451913988769, -0.30005346214379736, 0.1569471536631867, -0.12814004368585896, -0.17000923189809736, 0.039664657919534614, 0.10733502259363933, 0.17645378514877236, -0.14224632076603688, 0.15850798119386963, -0.10056392603187955, 0.1405147877652483, 0.10056443923932253, 0.023633098799963385, 0.03557566673095737, 0.08857235316025587, 0.2132810052028116, 0.1352943038349325, -0.00873409983540448, -0.09599725145618526, -0.3778261116192657, -0.13281318304670633, -0.18459333815345808, 0.14449317057926458, -0.1081047943809274, -0.16756453764225757, 0.31514551348708647, 0.11785802412398007, 0.1849897766785164, 0.09824829348077883, 0.21441221887207762, 0.18010207199330006, 0.014663838149447526, 0.12498276374701943, 0.18373840607522168, 0.16873033345933547, 0.10958129657926607, -0.1629977603680549, 0.040860212469777585, 0.1510885756899964] |
712.1332 | Ramanujan-type formulae for $1/\pi$: A second wind? | In 1914 S. Ramanujan recorded a list of 17 series for $1/\pi$. We survey the
methods of proofs of Ramanujan's formulae and indicate recently discovered
generalizations, some of which are not yet proven.
| math.NT math.CA | in 1914 s ramanujan recorded a list of 17 series for 1pi we survey the methods of proofs of ramanujans formulae and indicate recently discovered generalizations some of which are not yet proven | [['in', '1914', 's', 'ramanujan', 'recorded', 'a', 'list', 'of', '17', 'series', 'for', '1pi', 'we', 'survey', 'the', 'methods', 'of', 'proofs', 'of', 'ramanujans', 'formulae', 'and', 'indicate', 'recently', 'discovered', 'generalizations', 'some', 'of', 'which', 'are', 'not', 'yet', 'proven']] | [-0.1252555616647993, 0.01569948801669384, -0.15021848029485255, 0.12340129101931145, -0.1279754368165, -0.12491569260248181, 0.05887316031889482, 0.30105498687110166, -0.18434141672244578, -0.35368188724599103, 0.12878362413594555, -0.34505244869400153, -0.19978700521768947, 0.2950125080251107, -0.05017748963313572, 0.0434917403159268, 0.03169528301805258, 0.029547825681440758, -0.06184622924774885, -0.39073879096769926, 0.2139532338884292, -0.03452384762578842, 0.1419492634859952, 0.0787383798284061, 0.0795438007423372, -0.04244255442454508, -0.17389890176215858, -0.028729189271953972, -0.15947480197770125, 0.10287773490629414, 0.28702193814696686, 0.14811590951726292, 0.2556112650217432, -0.36399280697558867, -0.10798106285404753, 0.07007181935125228, 0.17876451449807396, 0.09059933332415919, -0.033825226523207894, -0.32804175026037474, 0.08337361955394347, -0.19126167306394287, -0.1579658260399645, -0.1121931541146654, 0.12415984645485878, 0.09564146882092411, -0.18205085286701267, 0.05933846363967115, 0.08559033771355946, 0.14349062776080135, -0.024872972756962885, -0.2560995694701419, 0.060475245343916344, 0.024223661861579978, 0.06306851429469658, 0.00799142706179709, -0.022034353858819515, -0.14185855029658836, -0.1379814875227484, 0.311990906230428, 0.008237397044219753, -0.04990768658392357, 0.12292857310085585, -0.19441527193129965, -0.2769531811813288, 0.11663776355668563, 0.07283028442356171, 0.17378435887847887, -0.21889451411411617, 0.033809968945923065, -0.08600515578732346, 0.08027655787935312, 0.19317057558024922, 0.04552695598227508, 0.15090665887251045, -0.0009423817479700754, -0.06195291309532794, 0.12439221332809239, -0.005181463773954998, -0.019352925659129112, -0.3311894688416611, -0.1742216904196098, -0.20395511209569644, 0.08824784481575162, 0.014381700463921086, -0.17517552763280092, 0.38077620789408684, 0.0861705622325341, 0.15864327443396728, 0.11652819639085933, 0.11051702668721025, 0.103225867743745, 0.11020042738792571, 0.04020614521295735, 0.1828028356390088, 0.1932067552186323, 0.10286198270456004, -0.04058087583292614, 0.05442587997425686, 0.18018163991809794] |
712.1333 | Non-intersecting squared Bessel paths and multiple orthogonal
polynomials for modified Bessel weights | We study a model of $n$ non-intersecting squared Bessel processes in the
confluent case: all paths start at time $t = 0$ at the same positive value $x =
a$, remain positive, and are conditioned to end at time $t = T$ at $x = 0$. In
the limit $n \to \infty$, after appropriate rescaling, the paths fill out a
region in the $tx$-plane that we describe explicitly. In particular, the paths
initially stay away from the hard edge at $x = 0$, but at a certain critical
time $t^*$ the smallest paths hit the hard edge and from then on are stuck to
it. For $t \neq t^*$ we obtain the usual scaling limits from random matrix
theory, namely the sine, Airy, and Bessel kernels. A key fact is that the
positions of the paths at any time $t$ constitute a multiple orthogonal
polynomial ensemble, corresponding to a system of two modified Bessel-type
weights. As a consequence, there is a $3 \times 3$ matrix valued
Riemann-Hilbert problem characterizing this model, that we analyze in the large
$n$ limit using the Deift-Zhou steepest descent method. There are some novel
ingredients in the Riemann-Hilbert analysis that are of independent interest.
| math.CA math-ph math.MP math.PR | we study a model of n nonintersecting squared bessel processes in the confluent case all paths start at time t 0 at the same positive value x a remain positive and are conditioned to end at time t t at x 0 in the limit n to infty after appropriate rescaling the paths fill out a region in the txplane that we describe explicitly in particular the paths initially stay away from the hard edge at x 0 but at a certain critical time t the smallest paths hit the hard edge and from then on are stuck to it for t neq t we obtain the usual scaling limits from random matrix theory namely the sine airy and bessel kernels a key fact is that the positions of the paths at any time t constitute a multiple orthogonal polynomial ensemble corresponding to a system of two modified besseltype weights as a consequence there is a 3 times 3 matrix valued riemannhilbert problem characterizing this model that we analyze in the large n limit using the deiftzhou steepest descent method there are some novel ingredients in the riemannhilbert analysis that are of independent interest | [['we', 'study', 'a', 'model', 'of', 'n', 'nonintersecting', 'squared', 'bessel', 'processes', 'in', 'the', 'confluent', 'case', 'all', 'paths', 'start', 'at', 'time', 't', '0', 'at', 'the', 'same', 'positive', 'value', 'x', 'a', 'remain', 'positive', 'and', 'are', 'conditioned', 'to', 'end', 'at', 'time', 't', 't', 'at', 'x', '0', 'in', 'the', 'limit', 'n', 'to', 'infty', 'after', 'appropriate', 'rescaling', 'the', 'paths', 'fill', 'out', 'a', 'region', 'in', 'the', 'txplane', 'that', 'we', 'describe', 'explicitly', 'in', 'particular', 'the', 'paths', 'initially', 'stay', 'away', 'from', 'the', 'hard', 'edge', 'at', 'x', '0', 'but', 'at', 'a', 'certain', 'critical', 'time', 't', 'the', 'smallest', 'paths', 'hit', 'the', 'hard', 'edge', 'and', 'from', 'then', 'on', 'are', 'stuck', 'to', 'it', 'for', 't', 'neq', 't', 'we', 'obtain', 'the', 'usual', 'scaling', 'limits', 'from', 'random', 'matrix', 'theory', 'namely', 'the', 'sine', 'airy', 'and', 'bessel', 'kernels', 'a', 'key', 'fact', 'is', 'that', 'the', 'positions', 'of', 'the', 'paths', 'at', 'any', 'time', 't', 'constitute', 'a', 'multiple', 'orthogonal', 'polynomial', 'ensemble', 'corresponding', 'to', 'a', 'system', 'of', 'two', 'modified', 'besseltype', 'weights', 'as', 'a', 'consequence', 'there', 'is', 'a', '3', 'times', '3', 'matrix', 'valued', 'riemannhilbert', 'problem', 'characterizing', 'this', 'model', 'that', 'we', 'analyze', 'in', 'the', 'large', 'n', 'limit', 'using', 'the', 'deiftzhou', 'steepest', 'descent', 'method', 'there', 'are', 'some', 'novel', 'ingredients', 'in', 'the', 'riemannhilbert', 'analysis', 'that', 'are', 'of', 'independent', 'interest']] | [-0.130776431276637, 0.16978252049926765, -0.07771714999983759, 0.04802162206333284, -0.006292380355346526, -0.16068955908107005, 0.0744503877532534, 0.37565010599792004, -0.3206761239922231, -0.21962242330827741, 0.10281721780859127, -0.30962351987080783, -0.12145740519993045, 0.14170960395251275, -0.00960854118700096, 0.05068000382743776, 0.04270631829204671, 0.0805473158522461, -0.09052893013054908, -0.2296390956718974, 0.28350406839019776, -0.013140322002054183, 0.20421375326581837, 0.0032404083446551536, 0.11436925214441065, 0.016700584741462906, -0.002909826207185913, -0.011936666093497854, -0.13704426750044468, 0.02516150458586239, 0.24928973012030145, 0.07143353257167301, 0.2933860545205048, -0.3779614646487015, -0.14240026858529634, 0.16185978565307468, 0.15227610195660485, 0.04648973198593162, 0.029627205551357113, -0.2207216672952162, 0.1060541020706296, -0.06382321095041278, -0.17326132555674648, 0.0003389003998647953, 0.06676950280737017, 0.03110048017517385, -0.2876792444527082, 0.04812929183532743, 0.08270962874779535, -0.005896889691039459, -0.0023766572325557623, -0.15833737484129032, 0.007891029448334858, 0.11726551203623645, 0.03243971337713109, 0.06426165569045571, 0.08129573241836324, -0.10891319489101735, -0.0793947230411073, 0.32285128691180887, -0.07124895460395977, -0.19719197016603016, 0.14111666284506352, -0.18007909266767813, -0.15575440585872485, 0.16423775157387147, 0.1390746955606203, 0.173474639133291, -0.11687807573519225, 0.14828228751664319, -0.066519774266125, 0.09768478402666286, 0.13988060302451522, -0.024653186186303182, 0.17724501572251705, 0.11077214926169206, 0.09451352036798123, 0.12098677865392768, -0.05577771549866794, -0.090663718014053, -0.3869944008492706, -0.14411121447205774, -0.21048496642627648, 0.10524328718425169, -0.13274923969546545, -0.15128237400768768, 0.3443671115878105, 0.1392295642674315, 0.27410032662092565, 0.13130731921012637, 0.22469607596381655, 0.14867742120986804, 0.02277066609006106, 0.10095745899844147, 0.12158571210400004, 0.10895933240133616, 0.11530778131066083, -0.1836060350202744, 0.023758525804126848, 0.12329138879731451] |
712.1334 | Radiatively Induced Spontaneous Symmetry Breaking by Wilson Line in a
Warped Extra Dimension | We investigate the dynamical gauge-Higgs unification in the Randall-Sundrum
(RS) space-time. We study the dynamical gauge-Higgs unification in the SU(2)
gauge theory with a bulk fermion in the RS space-time. We evaluate the
contribution from fermion loop to the one-loop effective potential with respect
to the Wilson-line phase, and study the dynamical gauge symmetry breaking. We
also apply this mechanism of the gauge symmetry breaking to the electroweak
gauge-Higgs unification in the RS space-time. Especially we numerically studied
a SU(3)_w gauge model as a toy model of electroweak gauge-Higgs unification in
the RS space-time. We introduce an adjoint fermion into the model to break the
gauge symmetry and to obtain the U(1)_em electromagnetic symmetry. We found
that in this model the ratio of Z-boson mass to W-boson varies with respect to
the Wilson-line phase even at the tree level. We also propose a dynamical
mechanism of tuning the ratio m_Z/m_W to the experimental value
91.2GeV/80.4GeV=1.13 by introducing bulk scalars or bulk fermions with twisted
boundary conditions. In these models the Higgs can vary in mass between zero
and 290GeV.
| hep-th hep-ph | we investigate the dynamical gaugehiggs unification in the randallsundrum rs spacetime we study the dynamical gaugehiggs unification in the su2 gauge theory with a bulk fermion in the rs spacetime we evaluate the contribution from fermion loop to the oneloop effective potential with respect to the wilsonline phase and study the dynamical gauge symmetry breaking we also apply this mechanism of the gauge symmetry breaking to the electroweak gaugehiggs unification in the rs spacetime especially we numerically studied a su3_w gauge model as a toy model of electroweak gaugehiggs unification in the rs spacetime we introduce an adjoint fermion into the model to break the gauge symmetry and to obtain the u1_em electromagnetic symmetry we found that in this model the ratio of zboson mass to wboson varies with respect to the wilsonline phase even at the tree level we also propose a dynamical mechanism of tuning the ratio m_zm_w to the experimental value 912gev804gev113 by introducing bulk scalars or bulk fermions with twisted boundary conditions in these models the higgs can vary in mass between zero and 290gev | [['we', 'investigate', 'the', 'dynamical', 'gaugehiggs', 'unification', 'in', 'the', 'randallsundrum', 'rs', 'spacetime', 'we', 'study', 'the', 'dynamical', 'gaugehiggs', 'unification', 'in', 'the', 'su2', 'gauge', 'theory', 'with', 'a', 'bulk', 'fermion', 'in', 'the', 'rs', 'spacetime', 'we', 'evaluate', 'the', 'contribution', 'from', 'fermion', 'loop', 'to', 'the', 'oneloop', 'effective', 'potential', 'with', 'respect', 'to', 'the', 'wilsonline', 'phase', 'and', 'study', 'the', 'dynamical', 'gauge', 'symmetry', 'breaking', 'we', 'also', 'apply', 'this', 'mechanism', 'of', 'the', 'gauge', 'symmetry', 'breaking', 'to', 'the', 'electroweak', 'gaugehiggs', 'unification', 'in', 'the', 'rs', 'spacetime', 'especially', 'we', 'numerically', 'studied', 'a', 'su3_w', 'gauge', 'model', 'as', 'a', 'toy', 'model', 'of', 'electroweak', 'gaugehiggs', 'unification', 'in', 'the', 'rs', 'spacetime', 'we', 'introduce', 'an', 'adjoint', 'fermion', 'into', 'the', 'model', 'to', 'break', 'the', 'gauge', 'symmetry', 'and', 'to', 'obtain', 'the', 'u1_em', 'electromagnetic', 'symmetry', 'we', 'found', 'that', 'in', 'this', 'model', 'the', 'ratio', 'of', 'zboson', 'mass', 'to', 'wboson', 'varies', 'with', 'respect', 'to', 'the', 'wilsonline', 'phase', 'even', 'at', 'the', 'tree', 'level', 'we', 'also', 'propose', 'a', 'dynamical', 'mechanism', 'of', 'tuning', 'the', 'ratio', 'm_zm_w', 'to', 'the', 'experimental', 'value', '912gev804gev113', 'by', 'introducing', 'bulk', 'scalars', 'or', 'bulk', 'fermions', 'with', 'twisted', 'boundary', 'conditions', 'in', 'these', 'models', 'the', 'higgs', 'can', 'vary', 'in', 'mass', 'between', 'zero', 'and', '290gev']] | [-0.1552396011869529, 0.24363773620751256, -0.06042466714544306, 0.14504818022859664, -0.09597267516338351, -0.16546169544877062, 0.03478395255925451, 0.3642536859472536, -0.2020927301650359, -0.28050391525307944, 0.034478910672160884, -0.190677814619531, -0.11404000947368331, 0.011524286248789973, 0.007162697401575067, 0.036579067575406625, -0.06666481456407135, 0.03137695298276164, -0.14160612723472613, -0.23352107936278282, 0.3426233035305896, 0.03431980018715628, 0.25823887801115314, 0.06259544773440046, 0.08119232421846721, -0.01382145683799701, 0.03678562099495056, -0.07545240802309391, -0.12366981146248111, 0.06112577105986103, 0.14554884582215974, -0.007580205791534602, 0.10334890310398558, -0.3664507618470287, -0.19661174939855383, 0.11146065771622075, 0.15911442001180892, 0.15647228163090238, -0.06534684498381632, -0.3187588188871318, 0.10744191143153743, -0.22312167871727565, -0.14177241144038402, -0.04726675099068829, -0.09677796080359258, -0.1889766294916626, -0.3109396261596968, 0.07991861147341049, -0.05223415395448683, 0.049211268186230554, -0.06369989656377584, -0.05601223386210305, -0.10365379039219326, 0.02824367876085241, 0.2037769265298266, 0.04241233319523665, 0.118219420946182, -0.19669433759385024, -0.16332707386093467, 0.45611250920708035, -0.11794192895070989, -0.22715283732263328, 0.17793383135788396, -0.15154801912087185, -0.16371972180257383, 0.052386278852778065, 0.18700224238934673, 0.07969665973426097, -0.12557714857129296, 0.20329485640931208, -0.03655309009892252, 0.16545318008337, 0.030134693169119684, 0.04023633189420004, 0.24514151258732786, 0.1724325156537816, -0.0008124262861780484, 0.13693967611073854, -0.02896259780192684, -0.1513423119719267, -0.41596327299273317, -0.1280570853572995, -0.06636390852905936, 0.06938263363289562, -0.1473631745059472, -0.13302948224670466, 0.42498813014456327, 0.19254621138679795, 0.2282774238741364, 0.03997358146079932, 0.23418004775885493, 0.12109581772562127, 0.11242477654542943, 0.009744944154094397, 0.29528449346650054, 0.13664760522740174, 0.09462323524481193, -0.3091493846666047, -0.11515671345907984, 0.17265528327235105] |
712.1335 | Discrimination of particle masses in multivariant space-time geometry | Multivariance of geometry means that at the point $P_{0}$ there exist many
vectors $P_{0}P_{1}$, $\P_{0}P_{2}$,... which are equivalent (equal) to the
vector $\Q_{0}Q_{1}$ at the point $Q_{0}$, but they are not equivalent between
themselves. The discrimination capacity (zero-variance) of geometry appears,
when at the point $P_{0}$ there are no vectors, which are equivalent to the
vector $Q_{0}Q_{1}$ at the point $Q_{0}$. It is shown, that in some
multivariant space-time geometries some particles of small mass may be
discriminated (i.e. either they do not exist, or their evolution is
impossible). The possibility of some particle discrimination may appear to be
important for explanation of the discrete character of mass spectrum of
elementary particles.
| physics.gen-ph | multivariance of geometry means that at the point p_0 there exist many vectors p_0p_1 p_0p_2 which are equivalent equal to the vector q_0q_1 at the point q_0 but they are not equivalent between themselves the discrimination capacity zerovariance of geometry appears when at the point p_0 there are no vectors which are equivalent to the vector q_0q_1 at the point q_0 it is shown that in some multivariant spacetime geometries some particles of small mass may be discriminated ie either they do not exist or their evolution is impossible the possibility of some particle discrimination may appear to be important for explanation of the discrete character of mass spectrum of elementary particles | [['multivariance', 'of', 'geometry', 'means', 'that', 'at', 'the', 'point', 'p_0', 'there', 'exist', 'many', 'vectors', 'p_0p_1', 'p_0p_2', 'which', 'are', 'equivalent', 'equal', 'to', 'the', 'vector', 'q_0q_1', 'at', 'the', 'point', 'q_0', 'but', 'they', 'are', 'not', 'equivalent', 'between', 'themselves', 'the', 'discrimination', 'capacity', 'zerovariance', 'of', 'geometry', 'appears', 'when', 'at', 'the', 'point', 'p_0', 'there', 'are', 'no', 'vectors', 'which', 'are', 'equivalent', 'to', 'the', 'vector', 'q_0q_1', 'at', 'the', 'point', 'q_0', 'it', 'is', 'shown', 'that', 'in', 'some', 'multivariant', 'spacetime', 'geometries', 'some', 'particles', 'of', 'small', 'mass', 'may', 'be', 'discriminated', 'ie', 'either', 'they', 'do', 'not', 'exist', 'or', 'their', 'evolution', 'is', 'impossible', 'the', 'possibility', 'of', 'some', 'particle', 'discrimination', 'may', 'appear', 'to', 'be', 'important', 'for', 'explanation', 'of', 'the', 'discrete', 'character', 'of', 'mass', 'spectrum', 'of', 'elementary', 'particles']] | [-0.13403212182199675, 0.20717935571195306, -0.10046912115570661, 0.12427749141824206, -0.06309913185232126, -0.1873869441862864, 0.005996347862287416, 0.40843338106532356, -0.28398014433883334, -0.2587937101562348, 0.11325769944363986, -0.29558906007793034, -0.08997328644503025, 0.1654322978218195, -0.049055865259950156, 0.009700928747586839, 0.016975963773491146, 0.1270761039477211, -0.0702333205845207, -0.2120124303173643, 0.32868470424819773, 0.032713653765165725, 0.23815966374870087, 0.02189452861024587, 0.08725825665090736, -0.03518484945635538, -0.0006315939312985351, 0.03676429352311938, -0.11031261322716239, 0.03607974528662256, 0.26834970983248707, 0.13467800825297296, 0.2116521296871675, -0.36531454457288925, -0.16122769740586346, 0.21479087560815183, 0.17071794826109465, 0.08519547518871322, -0.025987502896470262, -0.2213628313825088, 0.1023116563824383, -0.08330708660755877, -0.15477930599202713, -0.05729323192166588, 0.021803355708651176, -0.0011769793004737243, -0.22995527449005224, 0.06929092765324288, 0.1063196527947848, 0.014097617074914344, -0.04480680469465484, -0.13961313020328883, -0.06214163933989701, 0.10925959874293767, 0.07772405259730714, 0.040049422335148126, 0.128334718007544, -0.1150355326758513, -0.07789880503808055, 0.396260826152053, 0.03062713306464322, -0.27224601210338306, 0.22378508730682437, -0.16025737047967342, -0.09178313357873005, 0.18782310924484386, 0.09952387402069059, 0.0690429059280972, -0.11106696134070794, 0.0849322740005346, -0.0568679644189238, 0.15312719148025755, 0.11889176643327684, 0.05414945897667224, 0.2975538094519629, 0.025555934612261685, 0.0601134234992158, 0.02083500888962131, -0.039536973433191513, -0.10387854481552232, -0.36275770298733906, -0.13257428675235525, -0.1897962696111954, 0.07829644741214653, -0.09893200021165817, -0.16865632462872168, 0.29006077273673303, 0.11964407535731322, 0.21550230586246863, -0.01515628920809307, 0.2015222839104968, 0.13519830961485166, 0.07075909854684798, 0.12052265162839815, 0.2664718989297005, 0.09569711419376167, 0.02457492754098263, -0.13175077044073627, 0.05778802524431952, 0.02959575467986298] |
712.1336 | $\pi$ and $\sigma$ mesons at finite temperature and density in the NJL
model with dimensional regularization | Dynamical Symmetry breaking and meson masses are studied in the
Nambu-Jona-Lasinio (NJL) model at finite temperature and chemical potential
using the dimensional regularization. Since the model is not renormalizable in
four space-time dimensions, physical results and parameters depend on the
regularization method. Following the imaginary time formalism, we introduce the
temperature, $T$ and the chemical potential, $\mu$. The parameters in the model
are fixed by calculating the pion mass and decay constant in the dimensional
regularization at $T=\mu=0$.
| hep-ph | dynamical symmetry breaking and meson masses are studied in the nambujonalasinio njl model at finite temperature and chemical potential using the dimensional regularization since the model is not renormalizable in four spacetime dimensions physical results and parameters depend on the regularization method following the imaginary time formalism we introduce the temperature t and the chemical potential mu the parameters in the model are fixed by calculating the pion mass and decay constant in the dimensional regularization at tmu0 | [['dynamical', 'symmetry', 'breaking', 'and', 'meson', 'masses', 'are', 'studied', 'in', 'the', 'nambujonalasinio', 'njl', 'model', 'at', 'finite', 'temperature', 'and', 'chemical', 'potential', 'using', 'the', 'dimensional', 'regularization', 'since', 'the', 'model', 'is', 'not', 'renormalizable', 'in', 'four', 'spacetime', 'dimensions', 'physical', 'results', 'and', 'parameters', 'depend', 'on', 'the', 'regularization', 'method', 'following', 'the', 'imaginary', 'time', 'formalism', 'we', 'introduce', 'the', 'temperature', 't', 'and', 'the', 'chemical', 'potential', 'mu', 'the', 'parameters', 'in', 'the', 'model', 'are', 'fixed', 'by', 'calculating', 'the', 'pion', 'mass', 'and', 'decay', 'constant', 'in', 'the', 'dimensional', 'regularization', 'at', 'tmu0']] | [-0.0778516914405219, 0.22014004874418114, -0.0707479879235873, 0.07253067873496949, -0.022899596809784508, -0.1695760600707288, 0.04690995904036447, 0.36557996514942737, -0.19146160505615273, -0.24937298862481272, 0.0432280073238706, -0.2561321813468035, -0.08288986289075442, 0.0741565477423515, 0.04944043102154097, 0.08183509463371781, -0.05832032325326816, 0.055025041175933626, -0.10344560766689383, -0.25489147012001023, 0.3766156889183761, 0.010318338508149246, 0.21495366693994442, 0.13750175462261616, 0.0824281639032453, -0.013772841307104796, -0.027218351867836114, -0.018016944119295518, -0.15029389593242246, -0.034943537079039716, 0.1273201797611092, 0.01125080053779212, 0.18299467924546886, -0.3420553205946049, -0.2851865762336688, 0.11348669605886007, 0.10897720524097805, 0.12140983374269268, -0.03967026574688347, -0.24809618294239044, 0.03401301743148209, -0.1543091901324012, -0.17267562512780069, -0.12831796139672205, -0.0004012347138547278, -0.06837305044392486, -0.31855814796932913, 0.13862396882508288, -0.05106356578717287, 0.07454156784897113, -0.13345930363692635, -0.17596846129503343, -0.06390881815368867, 0.06292510035072828, 0.09245248525191775, 0.05297311069141444, 0.15370012803589805, -0.1202603772839353, -0.07654299535002414, 0.401597390531913, -0.10450156742870179, -0.2262924669503972, 0.17913409633344257, -0.15374711388722062, -0.13851117540465355, 0.0749033294896317, 0.17902108800428157, 0.11569697914838598, -0.19629286225981912, 0.22361988206802227, 0.028349964710121803, 0.12930564325931784, 0.08904226810078729, 0.0184473991152141, 0.182053784785381, 0.18340490149430833, -0.03854410742052722, 0.05164967595551211, -0.04829036063127607, -0.14941525651601614, -0.36606006348481424, -0.07219519986822641, -0.1848417003820469, 0.006058163290983973, -0.19036479908031828, -0.11842269816907583, 0.4260889186777852, 0.16926311832616808, 0.222976683892987, 0.027255711677883352, 0.3197353499481914, 0.148143702616776, 0.12231009955179285, 0.06990350973369046, 0.23274298081198683, 0.15806682173513456, 0.12780525722214348, -0.30784701629142674, -0.04474385045226905, 0.16192451963056023] |
712.1337 | Axiomatizing rational power series | Iteration semirings are Conway semirings satisfying Conway's group
identities. We show that the semirings $\N^{\rat}\llangle \Sigma^* \rrangle$ of
rational power series with coefficients in the semiring $\N$ of natural numbers
are the free partial iteration semirings. Moreover, we characterize the
semirings $\N_\infty^{\rat}\llangle \Sigma^* \rrangle$ as the free semirings in
the variety of iteration semirings defined by three additional simple
identities, where $\N_\infty$ is the completion of $\N$ obtained by adding a
point of infinity. We also show that this latter variety coincides with the
variety generated by the complete, or continuous semirings. As a consequence of
these results, we obtain that the semirings $\N_\infty^{\rat}\llangle \Sigma^*
\rrangle$, equipped with the sum order, are free in the class of symmetric
inductive $^*$-semirings. This characterization corresponds to Kozen's
axiomatization of regular languages.
| cs.LO cs.DM | iteration semirings are conway semirings satisfying conways group identities we show that the semirings nratllangle sigma rrangle of rational power series with coefficients in the semiring n of natural numbers are the free partial iteration semirings moreover we characterize the semirings n_inftyratllangle sigma rrangle as the free semirings in the variety of iteration semirings defined by three additional simple identities where n_infty is the completion of n obtained by adding a point of infinity we also show that this latter variety coincides with the variety generated by the complete or continuous semirings as a consequence of these results we obtain that the semirings n_inftyratllangle sigma rrangle equipped with the sum order are free in the class of symmetric inductive semirings this characterization corresponds to kozens axiomatization of regular languages | [['iteration', 'semirings', 'are', 'conway', 'semirings', 'satisfying', 'conways', 'group', 'identities', 'we', 'show', 'that', 'the', 'semirings', 'nratllangle', 'sigma', 'rrangle', 'of', 'rational', 'power', 'series', 'with', 'coefficients', 'in', 'the', 'semiring', 'n', 'of', 'natural', 'numbers', 'are', 'the', 'free', 'partial', 'iteration', 'semirings', 'moreover', 'we', 'characterize', 'the', 'semirings', 'n_inftyratllangle', 'sigma', 'rrangle', 'as', 'the', 'free', 'semirings', 'in', 'the', 'variety', 'of', 'iteration', 'semirings', 'defined', 'by', 'three', 'additional', 'simple', 'identities', 'where', 'n_infty', 'is', 'the', 'completion', 'of', 'n', 'obtained', 'by', 'adding', 'a', 'point', 'of', 'infinity', 'we', 'also', 'show', 'that', 'this', 'latter', 'variety', 'coincides', 'with', 'the', 'variety', 'generated', 'by', 'the', 'complete', 'or', 'continuous', 'semirings', 'as', 'a', 'consequence', 'of', 'these', 'results', 'we', 'obtain', 'that', 'the', 'semirings', 'n_inftyratllangle', 'sigma', 'rrangle', 'equipped', 'with', 'the', 'sum', 'order', 'are', 'free', 'in', 'the', 'class', 'of', 'symmetric', 'inductive', 'semirings', 'this', 'characterization', 'corresponds', 'to', 'kozens', 'axiomatization', 'of', 'regular', 'languages']] | [-0.16370210641374192, 0.0932968439837356, -0.025293451796714512, 0.0982416818049618, -0.09903983069982912, -0.12690454385879021, 0.01981750096652716, 0.3699164799458924, -0.3911952960290133, -0.18119157949048612, 0.08637585573633837, -0.28926752674733364, -0.145463116856898, 0.19651270395935705, -0.08647678873043448, -0.0328593712100493, -0.0051746009812054655, 0.15207295898451573, -0.10082835133098775, -0.29011215554875514, 0.350739574100497, -0.041283223497134355, 0.17226960729541524, -0.00588158944932123, 0.08044829455597903, 0.018161789876305394, -0.04189701041295415, 0.07879684311116025, -0.1477261405494891, 0.10931422993437284, 0.3592741635243689, 0.14700118322590633, 0.23281600945703093, -0.3831609607866359, -0.10822201724208537, 0.1414093798865372, 0.101174091284592, -0.02037889305280433, -0.009664833445900254, -0.23186717072265253, 0.14287953230594877, -0.24918920976213282, -0.12525663735891973, -0.10097512902898921, 0.023196632227313423, 0.08074545650742948, -0.2761198133673696, -0.0030286573744397463, 0.12583459864854665, 0.17141089167275894, -0.02904635043777821, -0.15593576606451756, -0.012805929403781655, 0.03717707672400311, -0.01144845987529686, -0.03828925204773744, 0.08997728575449733, -0.08895587558037646, -0.18564199928253416, 0.3740884192465317, -0.09624262780620021, -0.19901055345747856, 0.1079872833261828, -0.17014093650135373, -0.13064946134811237, 0.14713693611944714, 0.019671358113382234, 0.15046919324243116, -0.07970162278543862, 0.1962862525963121, -0.2046125956020126, 0.08144138862276339, 0.15425719820805603, 0.050244481129098746, 0.08811231287905857, 0.087275356094959, 0.08679611415469221, 0.17510291000658143, 0.06896750630056929, -0.05220577312958619, -0.3823855703046161, -0.14540192652641545, -0.07800995311625893, 0.0812452674587211, -0.0981973778811701, -0.1918981553070129, 0.3734182530851473, 0.09139700376591275, 0.15843646791911434, 0.18093692109964432, 0.21574848894739435, 0.14075555388320474, 0.08466586592562851, 0.03718461412502201, 0.04398590727849671, 0.20263431356695022, 0.0247627824271423, -0.0986592671316531, -0.021711700170907, 0.16784297260973188] |
712.1338 | On the Subpulse Modulation, Polarization and Subbeam Carousel
Configuration of Pulsar B1857--26 | New GMRT observations of the five-component pulsar B1857--26 provide detailed
insight into its pulse-sequence modulation phenomena for the first time. The
outer conal components exhibit a 7.4-rotation-period, longitude-stationary
modulation. Several lines of evidence indicate a carousel circulation time
$\P3hat$ of about 147 stellar rotations, characteristic of a pattern with 20
beamlets. The pulsar nulls some 20% of the time, usually for only a single
pulse, and these nulls show no discernible order or periodicity. Finally, the
pulsar's polarization-angle traverse raises interesting issues: if most of its
emission is comprised of a single polarization mode, the full traverse exceeds
180\degr; or if both polarization modes are present, then the leading and the
trailing halves of the profiles exhibit two different modes. In either case the
rotating vector model fails to fit the polarization-angle traverse of the core
component.
| astro-ph | new gmrt observations of the fivecomponent pulsar b185726 provide detailed insight into its pulsesequence modulation phenomena for the first time the outer conal components exhibit a 74rotationperiod longitudestationary modulation several lines of evidence indicate a carousel circulation time p3hat of about 147 stellar rotations characteristic of a pattern with 20 beamlets the pulsar nulls some 20 of the time usually for only a single pulse and these nulls show no discernible order or periodicity finally the pulsars polarizationangle traverse raises interesting issues if most of its emission is comprised of a single polarization mode the full traverse exceeds 180degr or if both polarization modes are present then the leading and the trailing halves of the profiles exhibit two different modes in either case the rotating vector model fails to fit the polarizationangle traverse of the core component | [['new', 'gmrt', 'observations', 'of', 'the', 'fivecomponent', 'pulsar', 'b185726', 'provide', 'detailed', 'insight', 'into', 'its', 'pulsesequence', 'modulation', 'phenomena', 'for', 'the', 'first', 'time', 'the', 'outer', 'conal', 'components', 'exhibit', 'a', '74rotationperiod', 'longitudestationary', 'modulation', 'several', 'lines', 'of', 'evidence', 'indicate', 'a', 'carousel', 'circulation', 'time', 'p3hat', 'of', 'about', '147', 'stellar', 'rotations', 'characteristic', 'of', 'a', 'pattern', 'with', '20', 'beamlets', 'the', 'pulsar', 'nulls', 'some', '20', 'of', 'the', 'time', 'usually', 'for', 'only', 'a', 'single', 'pulse', 'and', 'these', 'nulls', 'show', 'no', 'discernible', 'order', 'or', 'periodicity', 'finally', 'the', 'pulsars', 'polarizationangle', 'traverse', 'raises', 'interesting', 'issues', 'if', 'most', 'of', 'its', 'emission', 'is', 'comprised', 'of', 'a', 'single', 'polarization', 'mode', 'the', 'full', 'traverse', 'exceeds', '180degr', 'or', 'if', 'both', 'polarization', 'modes', 'are', 'present', 'then', 'the', 'leading', 'and', 'the', 'trailing', 'halves', 'of', 'the', 'profiles', 'exhibit', 'two', 'different', 'modes', 'in', 'either', 'case', 'the', 'rotating', 'vector', 'model', 'fails', 'to', 'fit', 'the', 'polarizationangle', 'traverse', 'of', 'the', 'core', 'component']] | [-0.17377198546690711, 0.16577721141187712, -0.07355568675443362, 0.07658639972717886, -0.10421981846850674, -0.1254278659414416, 0.03457494182127031, 0.3839895897930054, -0.24290160220063858, -0.30048538920210494, 0.09622381350526207, -0.27204868217222955, -0.06852184277013841, 0.21403633211599313, 0.029868226626159667, -0.053150265572130456, 0.08115829272052147, 0.01245330866827556, -0.05043930967541454, -0.16133138993417992, 0.2308936296836158, 0.007951902412928473, 0.22051112905592846, -0.007774073420498604, 0.08995679554816588, -0.052529269118646256, -0.019615313400605454, -0.0293763726739619, -0.05492745052771013, 0.03589161217240687, 0.17856026653907633, 0.12535514243479287, 0.20190248658348406, -0.45091533247745574, -0.21313083096043228, 0.061033197005517445, 0.17225368153934079, 0.059665369471671635, -0.031042164982877728, -0.24480073646068068, 0.061229906339002285, -0.13700761417753266, -0.19348213138212836, 0.02515605538103141, 0.04089765214095158, 0.03881075324865296, -0.2172320437288486, 0.07652254276943946, 0.09869773859154657, 0.08002054590479772, -0.07665960090514973, -0.08882058467680967, -0.02374507016607357, 0.10279155453961146, 0.06275645515765939, 0.02743997183957494, 0.10352399903244543, -0.11111904297346123, -0.119873694928461, 0.3837270799366043, -0.05982725292092357, -0.09967943842529803, 0.16657551032792134, -0.22240369144785113, -0.11396859821170233, 0.19806614666266886, 0.13978061311934284, 0.08953727313879303, -0.0774006410396861, -0.020265373451236104, -0.028238305927051188, 0.2471661761094977, 0.10593787008280256, 0.05543060665267443, 0.308589280856059, 0.11536584842225354, 0.04955797676556994, 0.13839918764568934, -0.2111185767470782, -0.053785084137567, -0.27579526765678164, -0.11610932264810067, -0.09235308003586479, 0.022232411198205966, -0.10579545947148017, -0.15862739459205336, 0.4745894013098756, 0.09053933556380689, 0.20659091273196659, 0.02361571770056354, 0.31353050447944414, 0.09573318443394133, 0.06443773887883451, 0.12719566656164544, 0.2698737409824061, 0.14066738289731898, 0.08544069777866055, -0.20790290872083234, 0.07393393108771792, -0.05843814442991594] |
712.1339 | Joint Receiver and Transmitter Optimization for Energy-Efficient CDMA
Communications | This paper focuses on the cross-layer issue of joint multiuser detection and
resource allocation for energy efficiency in wireless CDMA networks. In
particular, assuming that a linear multiuser detector is adopted in the uplink
receiver, the case considered is that in which each terminal is allowed to vary
its transmit power, spreading code, and uplink receiver in order to maximize
its own utility, which is defined as the ratio of data throughput to transmit
power. Resorting to a game-theoretic formulation, a non-cooperative game for
utility maximization is formulated, and it is proved that a unique Nash
equilibrium exists, which, under certain conditions, is also Pareto-optimal.
Theoretical results concerning the relationship between the problems of SINR
maximization and MSE minimization are given, and, resorting to the tools of
large system analysis, a new distributed power control algorithm is
implemented, based on very little prior information about the user of interest.
The utility profile achieved by the active users in a large CDMA system is also
computed, and, moreover, the centralized socially optimum solution is analyzed.
Considerations on the extension of the proposed framework to a multi-cell
scenario are also briefly detailed. Simulation results confirm that the
proposed non-cooperative game largely outperforms competing alternatives, and
that it exhibits a quite small performance loss with respect to the socially
optimum solution, and only in the case in which the users number exceeds the
processing gain. Finally, results also show an excellent agreement between the
theoretical closed-form formulas based on large system analysis and the outcome
of numerical experiments.
| cs.IT cs.GT math.IT | this paper focuses on the crosslayer issue of joint multiuser detection and resource allocation for energy efficiency in wireless cdma networks in particular assuming that a linear multiuser detector is adopted in the uplink receiver the case considered is that in which each terminal is allowed to vary its transmit power spreading code and uplink receiver in order to maximize its own utility which is defined as the ratio of data throughput to transmit power resorting to a gametheoretic formulation a noncooperative game for utility maximization is formulated and it is proved that a unique nash equilibrium exists which under certain conditions is also paretooptimal theoretical results concerning the relationship between the problems of sinr maximization and mse minimization are given and resorting to the tools of large system analysis a new distributed power control algorithm is implemented based on very little prior information about the user of interest the utility profile achieved by the active users in a large cdma system is also computed and moreover the centralized socially optimum solution is analyzed considerations on the extension of the proposed framework to a multicell scenario are also briefly detailed simulation results confirm that the proposed noncooperative game largely outperforms competing alternatives and that it exhibits a quite small performance loss with respect to the socially optimum solution and only in the case in which the users number exceeds the processing gain finally results also show an excellent agreement between the theoretical closedform formulas based on large system analysis and the outcome of numerical experiments | [['this', 'paper', 'focuses', 'on', 'the', 'crosslayer', 'issue', 'of', 'joint', 'multiuser', 'detection', 'and', 'resource', 'allocation', 'for', 'energy', 'efficiency', 'in', 'wireless', 'cdma', 'networks', 'in', 'particular', 'assuming', 'that', 'a', 'linear', 'multiuser', 'detector', 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712.134 | Spectroscopic study of pulsations in the atmosphere of roAp star 10 Aql | We present the analysis of spectroscopic time-series observations of the roAp
star 10 Aql. Observations were carried out in July 2006 with the UVES and SARG
spectrographs simultaneously with the MOST mini-satellite photometry. All these
data were analysed for radial velocity (RV) variations. About 150 lines out of
the 1000 measured reveal clear pulsation signal. Frequency analysis of the
spectroscopic data gives four frequencies. Three highest amplitude frequencies
in spectroscopy coincide with the photometric ones. Phase-amplitude diagrams
created for the lines of different elements/ions show that atmospheric
pulsations may be represented by a superposition of the standing and running
wave components, similar to other roAp stars. The highest RV amplitudes,
300-400 m/s, were measured for Ce II, Dy III, Tb III, and two unidentified
lines at lambda 5471, 5556 A. We discovered ~0.4 period phase jump in the RV
measurements across the Nd III line profiles. It indicates the presence of the
pulsation node in stellar atmosphere. The phase jump occurs at nearly the same
atmospheric layers for the two main frequencies. There is no rotational
modulation in the average spectra for the 6 different nights we analysed.
| astro-ph | we present the analysis of spectroscopic timeseries observations of the roap star 10 aql observations were carried out in july 2006 with the uves and sarg spectrographs simultaneously with the most minisatellite photometry all these data were analysed for radial velocity rv variations about 150 lines out of the 1000 measured reveal clear pulsation signal frequency analysis of the spectroscopic data gives four frequencies three highest amplitude frequencies in spectroscopy coincide with the photometric ones phaseamplitude diagrams created for the lines of different elementsions show that atmospheric pulsations may be represented by a superposition of the standing and running wave components similar to other roap stars the highest rv amplitudes 300400 ms were measured for ce ii dy iii tb iii and two unidentified lines at lambda 5471 5556 a we discovered 04 period phase jump in the rv measurements across the nd iii line profiles it indicates the presence of the pulsation node in stellar atmosphere the phase jump occurs at nearly the same atmospheric layers for the two main frequencies there is no rotational modulation in the average spectra for the 6 different nights we analysed | [['we', 'present', 'the', 'analysis', 'of', 'spectroscopic', 'timeseries', 'observations', 'of', 'the', 'roap', 'star', '10', 'aql', 'observations', 'were', 'carried', 'out', 'in', 'july', '2006', 'with', 'the', 'uves', 'and', 'sarg', 'spectrographs', 'simultaneously', 'with', 'the', 'most', 'minisatellite', 'photometry', 'all', 'these', 'data', 'were', 'analysed', 'for', 'radial', 'velocity', 'rv', 'variations', 'about', '150', 'lines', 'out', 'of', 'the', '1000', 'measured', 'reveal', 'clear', 'pulsation', 'signal', 'frequency', 'analysis', 'of', 'the', 'spectroscopic', 'data', 'gives', 'four', 'frequencies', 'three', 'highest', 'amplitude', 'frequencies', 'in', 'spectroscopy', 'coincide', 'with', 'the', 'photometric', 'ones', 'phaseamplitude', 'diagrams', 'created', 'for', 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712.1341 | Dirac Neutrino Masses from Generalized Supersymmetry Breaking | We demonstrate that Dirac neutrino masses in the experimentally preferred
range are generated within supersymmetric gauge extensions of the Standard
Model with a generalized supersymmetry breaking sector. If the usual
superpotential Yukawa couplings are forbidden by the additional gauge symmetry
(such as a U(1)'), effective Dirac mass terms involving the "wrong Higgs" field
can arise either at tree level due to hard supersymmetry breaking fermion
Yukawa couplings, or at one-loop due to nonanalytic or "nonholomorphic" soft
supersymmetry breaking trilinear scalar couplings. As both of these operators
are naturally suppressed in generic models of supersymmetry breaking, the
resulting neutrino masses are naturally in the sub-eV range. The neutrino
magnetic and electric dipole moments resulting from the radiative mechanism
also vanish at one-loop order.
| hep-ph hep-th | we demonstrate that dirac neutrino masses in the experimentally preferred range are generated within supersymmetric gauge extensions of the standard model with a generalized supersymmetry breaking sector if the usual superpotential yukawa couplings are forbidden by the additional gauge symmetry such as a u1 effective dirac mass terms involving the wrong higgs field can arise either at tree level due to hard supersymmetry breaking fermion yukawa couplings or at oneloop due to nonanalytic or nonholomorphic soft supersymmetry breaking trilinear scalar couplings as both of these operators are naturally suppressed in generic models of supersymmetry breaking the resulting neutrino masses are naturally in the subev range the neutrino magnetic and electric dipole moments resulting from the radiative mechanism also vanish at oneloop order | [['we', 'demonstrate', 'that', 'dirac', 'neutrino', 'masses', 'in', 'the', 'experimentally', 'preferred', 'range', 'are', 'generated', 'within', 'supersymmetric', 'gauge', 'extensions', 'of', 'the', 'standard', 'model', 'with', 'a', 'generalized', 'supersymmetry', 'breaking', 'sector', 'if', 'the', 'usual', 'superpotential', 'yukawa', 'couplings', 'are', 'forbidden', 'by', 'the', 'additional', 'gauge', 'symmetry', 'such', 'as', 'a', 'u1', 'effective', 'dirac', 'mass', 'terms', 'involving', 'the', 'wrong', 'higgs', 'field', 'can', 'arise', 'either', 'at', 'tree', 'level', 'due', 'to', 'hard', 'supersymmetry', 'breaking', 'fermion', 'yukawa', 'couplings', 'or', 'at', 'oneloop', 'due', 'to', 'nonanalytic', 'or', 'nonholomorphic', 'soft', 'supersymmetry', 'breaking', 'trilinear', 'scalar', 'couplings', 'as', 'both', 'of', 'these', 'operators', 'are', 'naturally', 'suppressed', 'in', 'generic', 'models', 'of', 'supersymmetry', 'breaking', 'the', 'resulting', 'neutrino', 'masses', 'are', 'naturally', 'in', 'the', 'subev', 'range', 'the', 'neutrino', 'magnetic', 'and', 'electric', 'dipole', 'moments', 'resulting', 'from', 'the', 'radiative', 'mechanism', 'also', 'vanish', 'at', 'oneloop', 'order']] | [-0.14310116832312503, 0.3488919996297689, 0.07323945746146386, 0.20987031730960626, -0.13476459741722183, -0.16775895178806585, -0.004011142472202172, 0.32791708197185127, -0.22009206536134368, -0.3272095291157726, 0.039012117138643915, -0.262965619907577, -0.09447920646854356, 0.05222868549324511, 0.07596083791720391, 0.0426444730980963, -0.03103968753769505, 0.012159637954147135, -0.11131687862913078, -0.23319538175052063, 0.3252686191365489, -0.01430144766822732, 0.1863341697140551, 0.12211962676698677, 0.0670159685952192, -0.03219416837940817, 0.06610336355849734, -0.11851874603813545, -0.026259521413969016, 0.047345448865509426, 0.16900126428141657, -0.041088692530928575, 0.04088977298348165, -0.3899591408792089, -0.15976400634266252, 0.17706481052074033, 0.1831972528264293, 0.13545909095135686, -0.05995234190562709, -0.34601921110307093, 0.07101007051323159, -0.21267906290891228, -0.14129208662112044, -0.14185795643878338, -0.12297405472185585, -0.15477736406104609, -0.35664391213814256, 0.1281917051752823, -0.051089085139941086, 0.028567286704468432, 0.017613419839257342, -0.12138619689751783, -0.1523296030039792, -0.023280950503607022, 0.2488213603176772, -0.017740317042792966, 0.17735862366942934, -0.2251521478598884, -0.1408955775645989, 0.46363246756926424, -0.09013497316732728, -0.19616500746943516, 0.14919637945160025, -0.13761790187077094, -0.16615870757959783, 0.15995862740320993, 0.15656753200808632, 0.07908222595130505, -0.16521983625382552, 0.2759521337847233, -0.009998443689136232, 0.11632085433153466, 0.10458514276991186, 0.04904443142386001, 0.34499451414239213, 0.08959675800498025, 0.06147961216200082, 0.0220090342364961, 0.007125509711990103, -0.11425813310779631, -0.46983356950957267, -0.045889645337783655, -0.09263080442858646, 0.07652390933000162, -0.1220442167535514, -0.1362094503682351, 0.4172335829830072, 0.14326401896102994, 0.19684852910090667, 0.054033785373293106, 0.23514870768145765, 0.13881417437739, 0.18030537651531153, -0.03241972418952367, 0.30686632341888476, 0.12365706818613423, 0.09370451066910182, -0.27536893125096734, -0.10275746704094478, 0.15012130301567864] |
712.1342 | Stochastic adaptation of importance sampler | Improving efficiency of importance sampler is at the center of research in
Monte Carlo methods. While adaptive approach is usually difficult within the
Markov Chain Monte Carlo framework, the counterpart in importance sampling can
be justified and validated easily. We propose an iterative adaptation method
for learning the proposal distribution of an importance sampler based on
stochastic approximation. The stochastic approximation method can recruit
general iterative optimization techniques like the minorization-maximization
algorithm. The effectiveness of the approach in optimizing the Kullback
divergence between the proposal distribution and the target is demonstrated
using several simple examples.
| stat.ME | improving efficiency of importance sampler is at the center of research in monte carlo methods while adaptive approach is usually difficult within the markov chain monte carlo framework the counterpart in importance sampling can be justified and validated easily we propose an iterative adaptation method for learning the proposal distribution of an importance sampler based on stochastic approximation the stochastic approximation method can recruit general iterative optimization techniques like the minorizationmaximization algorithm the effectiveness of the approach in optimizing the kullback divergence between the proposal distribution and the target is demonstrated using several simple examples | [['improving', 'efficiency', 'of', 'importance', 'sampler', 'is', 'at', 'the', 'center', 'of', 'research', 'in', 'monte', 'carlo', 'methods', 'while', 'adaptive', 'approach', 'is', 'usually', 'difficult', 'within', 'the', 'markov', 'chain', 'monte', 'carlo', 'framework', 'the', 'counterpart', 'in', 'importance', 'sampling', 'can', 'be', 'justified', 'and', 'validated', 'easily', 'we', 'propose', 'an', 'iterative', 'adaptation', 'method', 'for', 'learning', 'the', 'proposal', 'distribution', 'of', 'an', 'importance', 'sampler', 'based', 'on', 'stochastic', 'approximation', 'the', 'stochastic', 'approximation', 'method', 'can', 'recruit', 'general', 'iterative', 'optimization', 'techniques', 'like', 'the', 'minorizationmaximization', 'algorithm', 'the', 'effectiveness', 'of', 'the', 'approach', 'in', 'optimizing', 'the', 'kullback', 'divergence', 'between', 'the', 'proposal', 'distribution', 'and', 'the', 'target', 'is', 'demonstrated', 'using', 'several', 'simple', 'examples']] | [0.0025635520094319394, 0.005873391593769683, -0.14523873336208787, 0.12315985984781659, -0.06562034535760942, -0.14393315421123254, 0.05837108699702903, 0.47804291226754064, -0.2875492619840722, -0.34168523104959414, 0.09869120373562175, -0.20722298254994184, -0.17141690249309727, 0.2300394477788359, -0.06483992885455098, 0.11980239503869886, 0.11238476077560336, -0.03351095741320598, -0.08295982452599626, -0.2538166499745689, 0.22244862269021962, 0.172272824996004, 0.3800920601149923, -0.0008833077197012148, 0.15408444648706598, 0.056108114358625914, -0.034580670787315616, -0.0024793720166934163, -0.10085607238211915, 0.1566079237743428, 0.24462272616740513, 0.20471005392211833, 0.3944552127860094, -0.3653953596459408, -0.20420325236444017, 0.10924545095645283, 0.17928434473058014, 0.13336266633858415, -0.06884279731097386, -0.2872895533120946, 0.04045464194526798, -0.19337648518481537, -0.08470718223405511, -0.13956566222110076, -0.13496155942741192, 0.04440169320625596, -0.30994738572718283, 0.047272563196326556, 0.03301955024760805, 0.04133772417706878, 0.010353406793192813, -0.147881893238886, 0.0616418498274135, 0.05534620158080208, 0.0307649658012547, 0.032246041898370575, 0.1426072674607368, -0.07784090595025765, -0.18897755546740402, 0.30683328217189565, -0.04156129115604256, -0.25629885690776927, 0.15539865129333186, -0.01514318688331466, -0.15421901879783131, 0.17734607722499948, 0.18469292766561635, 0.23089062423739387, -0.193096823147253, 0.10623877006215289, 0.03880193956122783, 0.08801702969036629, -0.042325580480361454, -0.07627647484003224, 0.13676632232228783, 0.2505453549815636, 0.0687357787434992, 0.17602561945463285, -0.14691917284293787, -0.23124856444958009, -0.2404811152404076, -0.13894489633997803, -0.2796460189415436, -0.0594277540957065, -0.13242775723307493, -0.1357792057489094, 0.3311119848494663, 0.26475320978085, 0.11831373762780506, 0.06838005285121893, 0.3729910427018216, 0.11299985055076449, 0.01680883108393142, 0.11213439482411272, 0.17014972188779595, 0.11841015172632118, 0.045220107298442405, -0.249721756630185, 0.1443423762035213, 0.13935699525142187] |
712.1343 | An Hilbert space approach for a class of arbitrage free implied
volatilities models | We present an Hilbert space formulation for a set of implied volatility
models introduced in \cite{BraceGoldys01} in which the authors studied
conditions for a family of European call options, varying the maturing time and
the strike price $T$ an $K$, to be arbitrage free. The arbitrage free
conditions give a system of stochastic PDEs for the evolution of the implied
volatility surface ${\hat\sigma}_t(T,K)$. We will focus on the family obtained
fixing a strike $K$ and varying $T$. In order to give conditions to prove an
existence-and-uniqueness result for the solution of the system it is here
expressed in terms of the square root of the forward implied volatility and
rewritten in an Hilbert space setting. The existence and the uniqueness for the
(arbitrage free) evolution of the forward implied volatility, and then of the
the implied volatility, among a class of models, are proved. Specific examples
are also given.
| q-fin.CP math.PR | we present an hilbert space formulation for a set of implied volatility models introduced in citebracegoldys01 in which the authors studied conditions for a family of european call options varying the maturing time and the strike price t an k to be arbitrage free the arbitrage free conditions give a system of stochastic pdes for the evolution of the implied volatility surface hatsigma_ttk we will focus on the family obtained fixing a strike k and varying t in order to give conditions to prove an existenceanduniqueness result for the solution of the system it is here expressed in terms of the square root of the forward implied volatility and rewritten in an hilbert space setting the existence and the uniqueness for the arbitrage free evolution of the forward implied volatility and then of the the implied volatility among a class of models are proved specific examples are also given | [['we', 'present', 'an', 'hilbert', 'space', 'formulation', 'for', 'a', 'set', 'of', 'implied', 'volatility', 'models', 'introduced', 'in', 'citebracegoldys01', 'in', 'which', 'the', 'authors', 'studied', 'conditions', 'for', 'a', 'family', 'of', 'european', 'call', 'options', 'varying', 'the', 'maturing', 'time', 'and', 'the', 'strike', 'price', 't', 'an', 'k', 'to', 'be', 'arbitrage', 'free', 'the', 'arbitrage', 'free', 'conditions', 'give', 'a', 'system', 'of', 'stochastic', 'pdes', 'for', 'the', 'evolution', 'of', 'the', 'implied', 'volatility', 'surface', 'hatsigma_ttk', 'we', 'will', 'focus', 'on', 'the', 'family', 'obtained', 'fixing', 'a', 'strike', 'k', 'and', 'varying', 't', 'in', 'order', 'to', 'give', 'conditions', 'to', 'prove', 'an', 'existenceanduniqueness', 'result', 'for', 'the', 'solution', 'of', 'the', 'system', 'it', 'is', 'here', 'expressed', 'in', 'terms', 'of', 'the', 'square', 'root', 'of', 'the', 'forward', 'implied', 'volatility', 'and', 'rewritten', 'in', 'an', 'hilbert', 'space', 'setting', 'the', 'existence', 'and', 'the', 'uniqueness', 'for', 'the', 'arbitrage', 'free', 'evolution', 'of', 'the', 'forward', 'implied', 'volatility', 'and', 'then', 'of', 'the', 'the', 'implied', 'volatility', 'among', 'a', 'class', 'of', 'models', 'are', 'proved', 'specific', 'examples', 'are', 'also', 'given']] | [-0.13220302881800558, 0.07645117742853073, -0.07483625051897172, 0.12489212668988828, -0.054855659484467786, -0.09848751313665448, 0.05256201060686567, 0.3598013240461276, -0.3284406822480976, -0.2574851800598306, 0.15736572645773653, -0.24038232667754367, -0.09057768191887092, 0.21401369268049117, -0.11585382049367444, 0.00549205510290212, 0.005440901441831295, 0.03391549030433677, -0.05349900052334144, -0.3022096848708565, 0.32220026248530165, 0.053399379932870195, 0.2070579860544419, 0.034043772115805886, 0.1799605167598451, -0.018938510047195302, -0.036095647677166824, 0.00888947116120157, -0.19057653354455348, 0.13445910852887247, 0.2188028406680419, 0.08652860838947786, 0.29099042665162317, -0.41241143293015353, -0.19806328984232593, 0.12631704570390268, 0.04335325597829268, 0.026453498415234308, -0.012526914093815658, -0.26947657313606105, 0.007467272187493844, -0.18750321077922844, -0.16824773733172413, -0.07068599631040268, 0.03644844987238311, 0.017505355067678714, -0.3188565758037802, 0.02565922976406897, 0.07640084691907037, 0.06435519308334198, -0.07879842287694959, -0.0970249499325092, -0.033314234533264264, 0.09334631791427629, 0.09004570616964148, -0.03811217922628028, 0.0425527810648543, -0.1351445559986344, -0.10643895588853486, 0.3577286241893427, -0.11234336835013269, -0.22299363479426462, 0.12541414024818637, -0.1629642173775459, -0.11333101841761437, 0.09834344697197618, 0.1587548247436444, 0.10596672603732919, -0.1775689627528701, 0.1289485495626027, -0.06607143206151891, 0.10188133146435227, 0.08567042261591717, 0.013115266682452534, 0.14200534083408445, 0.15681856436246674, 0.1388957004911228, 0.13755376632436983, -0.04491721742869393, -0.13618099472281356, -0.36476833618258775, -0.1900237329377576, -0.13456831226437926, 0.03495907539195598, -0.12412063628768034, -0.1818286935632972, 0.38518078832517133, 0.12982228571680224, 0.15345690477231186, 0.10997114405083815, 0.16979401958755486, 0.18345103706865115, -0.025496833785500838, 0.10239789136749221, 0.14808913334974483, 0.07773377618924651, 0.10483674430415953, -0.18626498660847723, 0.13409406799593404, 0.09784017128180968] |
712.1344 | The mean field Ising model trough interpolating techniques | Aim of this work is not trying to explore a macroscopic behavior of some
recent model in statistical mechanics but showing how some recent techniques
developed within the framework of spin glasses do work on simpler model,
focusing on the method and not on the analyzed system. To fulfil our will the
candidate model turns out to be the paradigmatic mean field Ising model. The
model is introduced and investigated with the interpolation techniques. We show
the existence of the thermodynamic limit, bounds for the free energy density,
the explicit expression for the free energy with its suitable expansion via the
order parameter, the self-consistency relation, the phase transition, the
critical behavior and the self-averaging properties. At the end a bridge to a
Parisi-like theory is tried and discussed.
| cond-mat.dis-nn | aim of this work is not trying to explore a macroscopic behavior of some recent model in statistical mechanics but showing how some recent techniques developed within the framework of spin glasses do work on simpler model focusing on the method and not on the analyzed system to fulfil our will the candidate model turns out to be the paradigmatic mean field ising model the model is introduced and investigated with the interpolation techniques we show the existence of the thermodynamic limit bounds for the free energy density the explicit expression for the free energy with its suitable expansion via the order parameter the selfconsistency relation the phase transition the critical behavior and the selfaveraging properties at the end a bridge to a parisilike theory is tried and discussed | [['aim', 'of', 'this', 'work', 'is', 'not', 'trying', 'to', 'explore', 'a', 'macroscopic', 'behavior', 'of', 'some', 'recent', 'model', 'in', 'statistical', 'mechanics', 'but', 'showing', 'how', 'some', 'recent', 'techniques', 'developed', 'within', 'the', 'framework', 'of', 'spin', 'glasses', 'do', 'work', 'on', 'simpler', 'model', 'focusing', 'on', 'the', 'method', 'and', 'not', 'on', 'the', 'analyzed', 'system', 'to', 'fulfil', 'our', 'will', 'the', 'candidate', 'model', 'turns', 'out', 'to', 'be', 'the', 'paradigmatic', 'mean', 'field', 'ising', 'model', 'the', 'model', 'is', 'introduced', 'and', 'investigated', 'with', 'the', 'interpolation', 'techniques', 'we', 'show', 'the', 'existence', 'of', 'the', 'thermodynamic', 'limit', 'bounds', 'for', 'the', 'free', 'energy', 'density', 'the', 'explicit', 'expression', 'for', 'the', 'free', 'energy', 'with', 'its', 'suitable', 'expansion', 'via', 'the', 'order', 'parameter', 'the', 'selfconsistency', 'relation', 'the', 'phase', 'transition', 'the', 'critical', 'behavior', 'and', 'the', 'selfaveraging', 'properties', 'at', 'the', 'end', 'a', 'bridge', 'to', 'a', 'parisilike', 'theory', 'is', 'tried', 'and', 'discussed']] | [-0.08392141366675787, 0.09588991189593798, -0.12540254558552988, 0.08946672053025395, -0.050427122027031146, -0.11746693676104769, 0.0683546339159875, 0.3337191252503544, -0.24546881484275218, -0.30352526358910836, 0.0948648876428706, -0.26148660183753236, -0.17142225362476893, 0.1667930939283906, -0.0113823150513781, 0.08435625846277617, 0.0003965247597079724, 0.07339738122209383, -0.08365535696066217, -0.2194119347841479, 0.30247350257923244, 0.08754605805734172, 0.31289278518124775, 0.08757215010246, 0.07281363500806037, -0.007542528861449682, 0.008617602121375967, 0.036071094935323345, -0.21495498082367703, 0.11282868150738068, 0.1843897585204104, 0.07115064346726285, 0.26358944577077636, -0.4256402680039173, -0.2401968690683134, 0.10671445927982859, 0.11710513191428618, 0.11543788613388983, -0.02194568997128954, -0.25258641788968816, 0.0531661952882132, -0.1697784462958225, -0.16503260087483795, -0.100007050736167, -0.027103514960799657, 0.0106787539589277, -0.2123722246142279, 0.06476764522813028, 0.08601913937354766, 0.030515145845129155, -0.07345490220086504, -0.08162444512981892, 0.0071628485075052595, 0.11393360139481956, 0.057910419881409325, 0.01077875105511339, 0.1001817216638301, -0.13382845622072637, -0.08191228422583663, 0.3785180041450076, -0.04848982548992353, -0.20523130969377235, 0.2074673153601907, -0.135637665323884, -0.14447973312053364, 0.0672781841167307, 0.1234425950460718, 0.1127614180981027, -0.17159241005720105, 0.107341905722933, -0.0025318284360764665, 0.1597714509043726, -0.02503074536616623, -0.006768652004211617, 0.200541955375229, 0.16930284679983743, 0.016603559839495574, 0.1443085345322288, -0.0680599042771064, -0.16358163133918424, -0.3198561100070947, -0.1365830831200583, -0.18980358580301981, 0.027501009998331938, -0.06162899409491729, -0.14326579354656133, 0.41175381088396534, 0.21653203424648382, 0.1850921359982749, 0.05673404947629024, 0.278696729148578, 0.1458735447276922, 0.03739583543938352, 0.035343896365702676, 0.26346483447241553, 0.14791487128240988, 0.11438991281829658, -0.21802622076029365, 0.054344657679394004, 0.09117375365531188] |
712.1345 | Sequential operators in computability logic | Computability logic (CL) (see http://www.cis.upenn.edu/~giorgi/cl.html) is a
semantical platform and research program for redeveloping logic as a formal
theory of computability, as opposed to the formal theory of truth which it has
more traditionally been. Formulas in CL stand for (interactive) computational
problems, understood as games between a machine and its environment; logical
operators represent operations on such entities; and "truth" is understood as
existence of an effective solution, i.e., of an algorithmic winning strategy.
The formalism of CL is open-ended, and may undergo series of extensions as
the study of the subject advances. The main groups of operators on which CL has
been focused so far are the parallel, choice, branching, and blind operators.
The present paper introduces a new important group of operators, called
sequential. The latter come in the form of sequential conjunction and
disjunction, sequential quantifiers, and sequential recurrences. As the name
may suggest, the algorithmic intuitions associated with this group are those of
sequential computations, as opposed to the intuitions of parallel computations
associated with the parallel group of operations: playing a sequential
combination of games means playing its components in a sequential fashion, one
after one.
The main technical result of the present paper is a sound and complete
axiomatization of the propositional fragment of computability logic whose
vocabulary, together with negation, includes all three -- parallel, choice and
sequential -- sorts of conjunction and disjunction. An extension of this result
to the first-order level is also outlined.
| cs.LO cs.AI math.LO | computability logic cl see httpwwwcisupennedugiorgiclhtml is a semantical platform and research program for redeveloping logic as a formal theory of computability as opposed to the formal theory of truth which it has more traditionally been formulas in cl stand for interactive computational problems understood as games between a machine and its environment logical operators represent operations on such entities and truth is understood as existence of an effective solution ie of an algorithmic winning strategy the formalism of cl is openended and may undergo series of extensions as the study of the subject advances the main groups of operators on which cl has been focused so far are the parallel choice branching and blind operators the present paper introduces a new important group of operators called sequential the latter come in the form of sequential conjunction and disjunction sequential quantifiers and sequential recurrences as the name may suggest the algorithmic intuitions associated with this group are those of sequential computations as opposed to the intuitions of parallel computations associated with the parallel group of operations playing a sequential combination of games means playing its components in a sequential fashion one after one the main technical result of the present paper is a sound and complete axiomatization of the propositional fragment of computability logic whose vocabulary together with negation includes all three parallel choice and sequential sorts of conjunction and disjunction an extension of this result to the firstorder level is also outlined | [['computability', 'logic', 'cl', 'see', 'httpwwwcisupennedugiorgiclhtml', 'is', 'a', 'semantical', 'platform', 'and', 'research', 'program', 'for', 'redeveloping', 'logic', 'as', 'a', 'formal', 'theory', 'of', 'computability', 'as', 'opposed', 'to', 'the', 'formal', 'theory', 'of', 'truth', 'which', 'it', 'has', 'more', 'traditionally', 'been', 'formulas', 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712.1346 | Zeta Function Methods and Quantum Fluctuations | A review of some recent advances in zeta function techniques is given, in
problems of pure mathematical nature but also as applied to the computation of
quantum vacuum fluctuations in different field theories, and specially with a
view to cosmological applications.
| hep-th gr-qc math-ph math.MP quant-ph | a review of some recent advances in zeta function techniques is given in problems of pure mathematical nature but also as applied to the computation of quantum vacuum fluctuations in different field theories and specially with a view to cosmological applications | [['a', 'review', 'of', 'some', 'recent', 'advances', 'in', 'zeta', 'function', 'techniques', 'is', 'given', 'in', 'problems', 'of', 'pure', 'mathematical', 'nature', 'but', 'also', 'as', 'applied', 'to', 'the', 'computation', 'of', 'quantum', 'vacuum', 'fluctuations', 'in', 'different', 'field', 'theories', 'and', 'specially', 'with', 'a', 'view', 'to', 'cosmological', 'applications']] | [-0.09580798049048497, 0.09435282515861639, -0.12507769640353394, 0.05384541381570715, -0.07274880257957592, -0.12190219794013878, -0.011275999594434368, 0.3154205308500223, -0.2574547349316318, -0.31771332214063985, 0.11991637252645976, -0.2134912346444297, -0.19407871265600368, 0.23746705341448143, -0.0884526934944627, 0.09196812236999594, 0.015279625701468165, 0.009030451952684216, -0.13021328080752184, -0.27968143226533404, 0.32852832303473317, 0.04452837318488646, 0.2793671017876122, 0.07472505427828831, 0.08199645342623316, -0.00770182642949427, -0.03084848110177895, 0.08567476785946183, -0.14040780735270278, 0.13502046830452433, 0.28936396399512887, 0.14431068183081905, 0.30444295095597823, -0.4449470685113494, -0.2880148585749472, 0.08792205636457699, 0.10865195287766344, 0.17773156524522277, -0.06500165084967525, -0.24367594032934525, 0.053073000071979154, -0.13918182835346316, -0.12891731443019902, -0.06460058800421836, 0.05576277091792535, 0.006840133653363076, -0.2349429726345101, 0.03376186845707707, -0.02539229531567998, 0.07155109146927915, -0.0254568008694616, -0.12288236731617916, 0.08722532197560479, 0.10050771985112167, 0.10192068094080996, 0.07116730900753926, 0.14502045360007665, -0.2540300924149228, -0.19869383297315457, 0.3932652026414871, -0.06556436646638847, -0.19573308327576008, 0.2018489851389171, -0.12456975175385795, -0.20015744694576756, 0.06691100416568721, 0.1554319594089487, 0.13601562796478592, -0.11024923402270893, 0.15942893658690835, 0.047316175181327795, 0.10987125000939137, 0.04016925462680619, 0.08163798913904806, 0.25091481987932107, 0.09602757834079789, 0.007488097529858351, 0.13124275977564295, 0.009294661318474427, -0.14953827721680082, -0.32344000173232906, -0.1494294349331318, -0.17592706746512615, 0.07061932204722814, -0.04029580522520274, -0.22120962875736197, 0.38040019698986194, 0.1773520045936471, 0.18105746690956195, -0.013084411064571724, 0.27623358546052035, 0.08847485811778957, 0.027563899846338644, -0.006242297487560569, 0.20167550324851352, 0.2243898283610711, 0.1736272797442791, -0.13607564058279756, -0.021488578498885944, 0.02844967752149919] |
712.1347 | Dynamical Casimir Effect with Semi-Transparent Mirrors, and Cosmology | After reviewing some essential features of the Casimir effect and,
specifically, of its regularization by zeta function and Hadamard methods, we
consider the dynamical Casimir effect (or Fulling-Davis theory), where related
regularization problems appear, with a view to an experimental verification of
this theory. We finish with a discussion of the possible contribution of vacuum
fluctuations to dark energy, in a Casimir like fashion, that might involve the
dynamical version.
| hep-th astro-ph gr-qc quant-ph | after reviewing some essential features of the casimir effect and specifically of its regularization by zeta function and hadamard methods we consider the dynamical casimir effect or fullingdavis theory where related regularization problems appear with a view to an experimental verification of this theory we finish with a discussion of the possible contribution of vacuum fluctuations to dark energy in a casimir like fashion that might involve the dynamical version | [['after', 'reviewing', 'some', 'essential', 'features', 'of', 'the', 'casimir', 'effect', 'and', 'specifically', 'of', 'its', 'regularization', 'by', 'zeta', 'function', 'and', 'hadamard', 'methods', 'we', 'consider', 'the', 'dynamical', 'casimir', 'effect', 'or', 'fullingdavis', 'theory', 'where', 'related', 'regularization', 'problems', 'appear', 'with', 'a', 'view', 'to', 'an', 'experimental', 'verification', 'of', 'this', 'theory', 'we', 'finish', 'with', 'a', 'discussion', 'of', 'the', 'possible', 'contribution', 'of', 'vacuum', 'fluctuations', 'to', 'dark', 'energy', 'in', 'a', 'casimir', 'like', 'fashion', 'that', 'might', 'involve', 'the', 'dynamical', 'version']] | [-0.13604389174935827, 0.12493337343461251, -0.16212518922849625, 0.08456025080100728, -0.07115226359767975, -0.11839930296443618, 0.004235063831362388, 0.32275215212417685, -0.2655963221551392, -0.3003169852781339, 0.10367807834172972, -0.286759398445703, -0.2179371190790519, 0.17415460112396683, -0.06357420372196297, 0.06697285230578584, 0.03336020440126405, 0.05623041459804644, -0.11961442432146978, -0.24250263389051502, 0.4049641264170624, 0.051080674540413464, 0.19221792061327267, 0.1043905439597649, 0.0677786268212873, 0.03666620105302528, -0.03585315618556047, 0.039658105014350964, -0.1460145464529953, 0.11043383961246497, 0.19260614727745237, 0.05365833287815685, 0.3216484411369901, -0.4253219485390877, -0.21506396172385986, 0.11158244210747544, 0.10000481923866639, 0.11554170731940995, -0.0524447073660575, -0.26206525704027084, 0.02728327557080142, -0.176570240246213, -0.13038593127756662, -0.07355540051408437, -0.01691890328420677, -0.04543877672404051, -0.23284646694757638, 0.09944696331639653, 0.03779376569740555, 0.05131976703262847, -0.08706533726966144, -0.10958666857871888, 0.0566742402649876, 0.08183410750580547, 0.11229007997199138, 0.010603535245510115, 0.17581592498860066, -0.1845738649253558, -0.14581988833716436, 0.3976595808846363, -0.050962357716871076, -0.1893891879910792, 0.16882019164040685, -0.08678653373457221, -0.13548073917627335, 0.05189263638432907, 0.12433566240445319, 0.12041420003979643, -0.10939826898654734, 0.08762051822259968, 0.03496778649750395, 0.12881013587711082, 0.04437298937768176, 0.050238004001532346, 0.22357025380124865, 0.13101398921909108, 0.04393661926513997, 0.1765899152184526, -0.01918851880464649, -0.09614166181510908, -0.3778521133370806, -0.13668260869124663, -0.14560296819410354, 0.0707644632059163, -0.064548080617923, -0.21830930211243854, 0.3626709308853184, 0.18840332580325397, 0.20320512199997093, 0.027925667751148558, 0.2933099483666213, 0.11463420465504211, 0.07397801256941064, 0.0005086652455392523, 0.22555793980617359, 0.12231735190700578, 0.11688387568068245, -0.24766850034179894, -0.021650685018529115, 0.10376556615844584] |
712.1348 | Photometry of GSC 762-110, a new triple-mode radially pulsating star | Stars pulsating in three radial modes are very rare; only three examples are
known in the Galaxy. These stars are very useful since their periods may be
measured very precisely, and this will constrain the global stellar parameters
and the models of the star's interior. The purpose of this paper is to present
a new example of the class of triple-mode radial pulsators. A search for
candidate multi-mode pulsators was carried out in public survey data.
Time-series photometry of one of the candidates, GSC 762-110, was performed.
GSC 762-110 was found to be a triple-mode radial pulsator, with a fundamental
period of 0.1945d and period ratios of 0.7641 and 0.8012. In addition two
non-radial modes were found, for which the amplitude has diminished
considerably over the last few years.
| astro-ph | stars pulsating in three radial modes are very rare only three examples are known in the galaxy these stars are very useful since their periods may be measured very precisely and this will constrain the global stellar parameters and the models of the stars interior the purpose of this paper is to present a new example of the class of triplemode radial pulsators a search for candidate multimode pulsators was carried out in public survey data timeseries photometry of one of the candidates gsc 762110 was performed gsc 762110 was found to be a triplemode radial pulsator with a fundamental period of 01945d and period ratios of 07641 and 08012 in addition two nonradial modes were found for which the amplitude has diminished considerably over the last few years | [['stars', 'pulsating', 'in', 'three', 'radial', 'modes', 'are', 'very', 'rare', 'only', 'three', 'examples', 'are', 'known', 'in', 'the', 'galaxy', 'these', 'stars', 'are', 'very', 'useful', 'since', 'their', 'periods', 'may', 'be', 'measured', 'very', 'precisely', 'and', 'this', 'will', 'constrain', 'the', 'global', 'stellar', 'parameters', 'and', 'the', 'models', 'of', 'the', 'stars', 'interior', 'the', 'purpose', 'of', 'this', 'paper', 'is', 'to', 'present', 'a', 'new', 'example', 'of', 'the', 'class', 'of', 'triplemode', 'radial', 'pulsators', 'a', 'search', 'for', 'candidate', 'multimode', 'pulsators', 'was', 'carried', 'out', 'in', 'public', 'survey', 'data', 'timeseries', 'photometry', 'of', 'one', 'of', 'the', 'candidates', 'gsc', '762110', 'was', 'performed', 'gsc', '762110', 'was', 'found', 'to', 'be', 'a', 'triplemode', 'radial', 'pulsator', 'with', 'a', 'fundamental', 'period', 'of', '01945d', 'and', 'period', 'ratios', 'of', '07641', 'and', '08012', 'in', 'addition', 'two', 'nonradial', 'modes', 'were', 'found', 'for', 'which', 'the', 'amplitude', 'has', 'diminished', 'considerably', 'over', 'the', 'last', 'few', 'years']] | [-0.11477019024952766, 0.15276002385953982, -0.1152515534289001, 0.071217247250212, -0.13841205437277113, -0.12684118710157852, 0.0748463146183865, 0.36469949193058476, -0.16700527546626906, -0.32178566816653453, 0.11950940805705144, -0.2762876782247575, -0.08627885544762737, 0.2889953782770693, -0.06165928255969418, 0.0358875111241134, 0.1651104270938724, 0.016613775402337553, -0.019211987068223198, -0.3088374505412855, 0.2581354135613618, 0.001077044875391068, 0.13610945475257694, -0.09245448270737525, 0.001307585236293474, -0.12090044992697996, -0.11576417828919441, -0.038693737561604186, -0.14191094277456642, 0.05349118214461111, 0.2606580482899165, 0.10988691010542455, 0.2364806575557938, -0.3175582006844061, -0.2051325272768736, 0.07611113065016276, 0.19437513986392127, 0.06660557982620723, -0.029098507354407752, -0.249068507316312, 0.0997146213098125, -0.1476648313278753, -0.17410754338432585, -0.04591351950394681, 0.11499227507175097, 0.04485491760105135, -0.2500841835468647, 0.06926207356962315, 0.01972976347925367, 0.1251159622709477, -0.0990825187407374, -0.13951737572994805, -0.04160499159291747, 0.10622759192295733, 0.08037344650027432, 0.04929995752548078, 0.0199087962157078, -0.1084623910644422, -0.052032240809151725, 0.4046891580313264, -0.0883512146754055, -0.06453639123543736, 0.21087175694617233, -0.17215429128320406, -0.18465605875357025, 0.09021203235005809, 0.16006537239187427, 0.1834225142750168, -0.23820280187552975, -0.011267354559799235, -0.009735185112203322, 0.1999124673856122, 0.08823112969572146, 0.06216270347971248, 0.29855267472955727, 0.15044950577712077, -0.00037369828656195635, 0.11322471642615123, -0.2698553581351242, -0.051167126038982984, -0.23586872798360645, -0.11967684226598771, -0.10662131945437361, 0.01655413552362006, -0.046259602959429276, -0.12587965409001034, 0.44969657408129876, 0.04230432632668395, 0.1454062756365015, -0.015491675766703163, 0.23565745634597637, 0.08711845279791422, 0.12842036435880977, 0.07333517732143763, 0.37546782662731504, 0.17916952282558346, 0.12167529409071581, -0.1897522171531173, 0.05813681727064954, -0.014415015560394574] |
712.1349 | Low- and high-field induced uniform and staggered magnetizations of a
spin ladder with DM term | Analytic expressions for uniform and staggered magnetizations of a spin
ladder with a staggered Dzyaloshinskii-Moriya interaction along rungs are
obtained in the lowest perturbative orders. The obtained formulas describe
magnetic behavior in two marginal regions related to low ($h\ll h_c$) and high
($h\gg h_s$) magnetic fields.
| cond-mat.str-el | analytic expressions for uniform and staggered magnetizations of a spin ladder with a staggered dzyaloshinskiimoriya interaction along rungs are obtained in the lowest perturbative orders the obtained formulas describe magnetic behavior in two marginal regions related to low hll h_c and high hgg h_s magnetic fields | [['analytic', 'expressions', 'for', 'uniform', 'and', 'staggered', 'magnetizations', 'of', 'a', 'spin', 'ladder', 'with', 'a', 'staggered', 'dzyaloshinskiimoriya', 'interaction', 'along', 'rungs', 'are', 'obtained', 'in', 'the', 'lowest', 'perturbative', 'orders', 'the', 'obtained', 'formulas', 'describe', 'magnetic', 'behavior', 'in', 'two', 'marginal', 'regions', 'related', 'to', 'low', 'hll', 'h_c', 'and', 'high', 'hgg', 'h_s', 'magnetic', 'fields']] | [-0.24922394805142414, 0.27091113170203956, 0.026191368861042934, 0.1046363229195223, -0.06684351634011483, -0.11212815532622777, -0.00185328247734224, 0.4087821784550729, -0.20322705313320394, -0.27476575995451247, -0.010560539075294915, -0.2816120512459589, 0.004339086074058128, 0.18961093297390186, 0.15181218947280128, -0.02663137976323133, -0.03261475015998534, 0.03528412186500171, -0.15809760821740265, -0.20603763717024223, 0.23214235262054464, -0.06783416759951608, 0.3001099432737607, 0.08993159829760375, 0.06981210149419696, 0.01073335863791568, 0.08344100826703336, 0.017778470788312996, -0.1705190572158798, 0.06218468888824725, 0.21294760580665595, -0.1740855211392045, 0.09888328512644638, -0.4257202672407679, -0.10645292881552292, -0.0324892968384792, 0.1999666736430853, 0.10814567598635735, 0.030579008060790922, -0.30357619866971736, 0.06822284073670111, -0.19215665085484152, -0.164206567098913, -0.1771562893712974, -0.03232821772563393, 0.03271627470182822, -0.34609808631079353, 0.11608202949814174, 0.05598015213921747, 0.13777679200891568, -0.07429285655203073, -0.22706534030199374, -0.09056629418678906, 0.06707649558539623, 0.10717495408860724, 0.13499389850008098, 0.06997225470031085, -0.22067715871431257, -0.1693096558117996, 0.2580549890256446, -0.10749011748956273, -0.17696350400396826, 0.13070829349327023, -0.2209841361998216, -0.12836855561877397, 0.17004245096493675, 0.0695107737151177, 0.09728566772790383, -0.14195454607555724, 0.14677074535701767, 0.09024773033983681, 0.08094134947042102, 0.04850190662546083, 0.036133874086258205, 0.21077600469731766, 0.041414564191971134, 0.05753199152810418, 0.19416534883456063, -0.07649942289066056, -0.15620866764093871, -0.24821471289286148, -0.07306838719903128, -0.16689455338612036, 0.016722536068814603, -0.18968147605736033, -0.2201785760850686, 0.39552090776598325, 0.13999481159566052, 0.19036289247805657, -0.004974208954397751, 0.2859251998040987, 0.171334454263358, 0.040457932744175196, 0.07339712706111047, 0.20874774731371715, 0.2622633654948162, 0.1209037650336066, -0.2584791570071779, 0.006468800524168689, 0.09301334283436122] |
712.135 | Cavity BPM System Tests for the ILC Spectrometer | The main physics programme of the International Linear Collider (ILC)
requires a measurement of the beam energy at the interaction point with an
accuracy of $10^{-4}$ or better. To achieve this goal a magnetic spectrometer
using high resolution beam position monitors (BPMs) has been proposed. This
paper reports on the cavity BPM system that was deployed to test this proposal.
We demonstrate sub-micron resolution and micron level stability over 20 hours
for a $1\m$ long BPM triplet. We find micron-level stability over 1 hour for 3
BPM stations distributed over a $30\m$ long baseline. The understanding of the
behaviour and response of the BPMs gained from this work has allowed full
spectrometer tests to be carried out.
| physics.ins-det | the main physics programme of the international linear collider ilc requires a measurement of the beam energy at the interaction point with an accuracy of 104 or better to achieve this goal a magnetic spectrometer using high resolution beam position monitors bpms has been proposed this paper reports on the cavity bpm system that was deployed to test this proposal we demonstrate submicron resolution and micron level stability over 20 hours for a 1m long bpm triplet we find micronlevel stability over 1 hour for 3 bpm stations distributed over a 30m long baseline the understanding of the behaviour and response of the bpms gained from this work has allowed full spectrometer tests to be carried out | [['the', 'main', 'physics', 'programme', 'of', 'the', 'international', 'linear', 'collider', 'ilc', 'requires', 'a', 'measurement', 'of', 'the', 'beam', 'energy', 'at', 'the', 'interaction', 'point', 'with', 'an', 'accuracy', 'of', '104', 'or', 'better', 'to', 'achieve', 'this', 'goal', 'a', 'magnetic', 'spectrometer', 'using', 'high', 'resolution', 'beam', 'position', 'monitors', 'bpms', 'has', 'been', 'proposed', 'this', 'paper', 'reports', 'on', 'the', 'cavity', 'bpm', 'system', 'that', 'was', 'deployed', 'to', 'test', 'this', 'proposal', 'we', 'demonstrate', 'submicron', 'resolution', 'and', 'micron', 'level', 'stability', 'over', '20', 'hours', 'for', 'a', '1m', 'long', 'bpm', 'triplet', 'we', 'find', 'micronlevel', 'stability', 'over', '1', 'hour', 'for', '3', 'bpm', 'stations', 'distributed', 'over', 'a', '30m', 'long', 'baseline', 'the', 'understanding', 'of', 'the', 'behaviour', 'and', 'response', 'of', 'the', 'bpms', 'gained', 'from', 'this', 'work', 'has', 'allowed', 'full', 'spectrometer', 'tests', 'to', 'be', 'carried', 'out']] | [-0.11023688333857264, 0.07187065219172797, -0.08840560683041301, -0.02762876369425247, -0.021058897018177897, -0.1328049425083475, 0.043621930474829346, 0.3906789196607394, -0.19516274956667906, -0.3536209980360208, 0.11451179691009288, -0.280007492348902, 0.010553174920809956, 0.1966344926597821, -0.018624521643679556, 0.11596892410332066, 0.10514485106095035, -0.015273722521483134, -0.04568026969647115, -0.23146774094456282, 0.19822366029903707, 0.1934922599257567, 0.30590762549008316, 0.050868340692299806, 0.15754110384812084, -0.019245209458928842, -0.027192982042041153, -0.03623454983577005, -0.09056367458305252, 0.06956415478554037, 0.2642868729213722, 0.12312750515336983, 0.28488085994548684, -0.4047256372550614, -0.14845318919342235, 0.07593304192663258, 0.129215789002637, 0.015304660758911034, -0.005381246862542999, -0.30080230658651036, 0.10715058265635982, -0.205337598744748, -0.1437040886037752, -0.02362455888929912, -0.0009453992287699992, 0.008209079733858697, -0.27191215048297346, -0.03492513629926257, -0.0027848010500654196, 0.1559607728750596, -0.0379914255398843, -0.1309917187069455, 0.057353488141750425, 0.11445688421745451, 0.018714459266704626, 0.071946775088232, 0.12315303297279578, -0.0717542168373863, -0.10787032714260854, 0.35403936496402466, -0.07232027672058067, -0.1089930780327473, 0.16626335487255237, -0.2289451573871904, -0.10385336081545131, 0.17473273164728004, 0.23467005248396441, 0.0885532208535279, -0.15855981661086407, 0.05332471231201616, 0.011772961682106694, 0.2860895581973784, 0.09449013591242525, 0.027152641862431843, 0.22200025223259234, 0.289548445174582, 0.07946247297028701, 0.1074710547651411, -0.22064452937955403, -0.043511806414104424, -0.2873996914420118, -0.14643467113009503, -0.09958816041103286, 0.05776797216853254, 0.008585401938314764, -0.0470180337359078, 0.42519359084435254, 0.1892173999092645, 0.14830967551097274, 0.007063465735190508, 0.34439950162528926, 0.04090765831020907, 0.11653690127597159, 0.008407388525615988, 0.2828626860386859, 0.07024385402791011, 0.19679087353571773, -0.20989831106968096, 0.001534564687241601, -0.03407637978720869] |
712.1351 | Cooperation and the Emergence of Role Differentiation in the Dynamics of
Social Networks | By means of extensive computer simulations, the authors consider the
entangled coevolution of actions and social structure in a new version of a
spatial Prisoner's Dilemma model that naturally gives way to a process of
social differentiation. Diverse social roles emerge from the dynamics of the
system: leaders are individuals getting a large payoff who are imitated by a
considerable fraction of the population, conformists are unsatisfied
cooperative agents that keep cooperating, and exploiters are defectors with a
payoff larger than the average one obtained by cooperators. The dynamics
generate a social network that can have the topology of a small world network.
The network has a strong hierarchical structure in which the leaders play an
essential role in sustaining a highly cooperative stable regime. But
disruptions affecting leaders produce social crises described as dynamical
cascades that propagate through the network.
| physics.soc-ph | by means of extensive computer simulations the authors consider the entangled coevolution of actions and social structure in a new version of a spatial prisoners dilemma model that naturally gives way to a process of social differentiation diverse social roles emerge from the dynamics of the system leaders are individuals getting a large payoff who are imitated by a considerable fraction of the population conformists are unsatisfied cooperative agents that keep cooperating and exploiters are defectors with a payoff larger than the average one obtained by cooperators the dynamics generate a social network that can have the topology of a small world network the network has a strong hierarchical structure in which the leaders play an essential role in sustaining a highly cooperative stable regime but disruptions affecting leaders produce social crises described as dynamical cascades that propagate through the network | [['by', 'means', 'of', 'extensive', 'computer', 'simulations', 'the', 'authors', 'consider', 'the', 'entangled', 'coevolution', 'of', 'actions', 'and', 'social', 'structure', 'in', 'a', 'new', 'version', 'of', 'a', 'spatial', 'prisoners', 'dilemma', 'model', 'that', 'naturally', 'gives', 'way', 'to', 'a', 'process', 'of', 'social', 'differentiation', 'diverse', 'social', 'roles', 'emerge', 'from', 'the', 'dynamics', 'of', 'the', 'system', 'leaders', 'are', 'individuals', 'getting', 'a', 'large', 'payoff', 'who', 'are', 'imitated', 'by', 'a', 'considerable', 'fraction', 'of', 'the', 'population', 'conformists', 'are', 'unsatisfied', 'cooperative', 'agents', 'that', 'keep', 'cooperating', 'and', 'exploiters', 'are', 'defectors', 'with', 'a', 'payoff', 'larger', 'than', 'the', 'average', 'one', 'obtained', 'by', 'cooperators', 'the', 'dynamics', 'generate', 'a', 'social', 'network', 'that', 'can', 'have', 'the', 'topology', 'of', 'a', 'small', 'world', 'network', 'the', 'network', 'has', 'a', 'strong', 'hierarchical', 'structure', 'in', 'which', 'the', 'leaders', 'play', 'an', 'essential', 'role', 'in', 'sustaining', 'a', 'highly', 'cooperative', 'stable', 'regime', 'but', 'disruptions', 'affecting', 'leaders', 'produce', 'social', 'crises', 'described', 'as', 'dynamical', 'cascades', 'that', 'propagate', 'through', 'the', 'network']] | [-0.1673412747090395, 0.14801331545675836, -0.09166897548336192, 0.09588034771569248, -0.06561862898194594, -0.14867641173504584, 0.08672498198265725, 0.37555413376308766, -0.25997020007632937, -0.3015514145083461, 0.057056489822467964, -0.2796697623182273, -0.25041682281405897, 0.0752750040405159, -0.052746294515458404, -0.07759073394943518, 0.10010808676312816, 0.035306715656646545, 0.10119165375775901, -0.2700508373974433, 0.32881182528939756, 0.09225927661206071, 0.27159901541915343, -0.031901747879162695, 0.09105305360788678, -0.008178136253676622, -0.0036946503496695813, 0.06008377412651131, -0.06519366358510047, 0.13368838874240083, 0.2928314360175678, 0.1648871214335441, 0.43628277793751225, -0.4656039566752758, -0.24724789699688157, 0.11875459674666537, 0.15443686689316222, 0.12173782301495341, -0.04081717822436534, -0.33677667141594786, 0.05613181406569317, -0.24123722898727612, -0.10646749384608781, -0.06059312371946607, -0.011186879549294393, 0.043050491883079293, -0.2607664357489371, 0.04035343016074237, 0.02615005229925902, 0.07656890756623153, -0.008613128665874296, -0.06140858846706675, -0.09375054433162436, 0.24778682355197634, 0.04797537602853288, -0.02733022109968654, 0.200397906405521, -0.20253475941676344, -0.17683220295159555, 0.4063683240179052, 0.008442019063179342, -0.1624723325415592, 0.18616411777160374, -0.10271655350959866, -0.10532678370132831, 0.1289180440899209, 0.2389590115821425, 0.08074806557294537, -0.13864399787411755, -0.004651440737605118, -0.09658054826807574, 0.16575225271410077, 0.04140590593641531, 0.037992756869908134, 0.19686766572673112, 0.21083631356583632, 0.13121784059165692, 0.07466715532982497, 0.04553130443095633, -0.2133793569671928, -0.1820818519629274, -0.08123125952952509, -0.1335374923829148, 0.0680067565158779, -0.1326365462289248, -0.13501000060561172, 0.37828176474225117, 0.09801355394673475, 0.16335627452242485, 0.06055153977102765, 0.2340406964579267, 0.036058303181755735, 0.0799176261846161, 0.07549732763911367, 0.21854276633458147, 0.04173160838920967, 0.1375199754661319, -0.20037622195305238, 0.19482133543805769, 0.015422123137544444] |
712.1352 | Resonant fluxon transmission through impurities | Fluxon transmission through several impurities of different strength and type
(i.e., microshorts and microresistors), placed in a long Josephson junction is
investigated. Threshold pinning current on the impurities is computed as a
function of the distance between them, their amplitudes and the dissipation
parameter. It is shown that in the case of consequently placed microshorts or
microresistors, the threshold pinning current exhibits a clear minimum as a
function of the distance between the impurities. In the case of a
microresistor, followed by a microshort, an opposite phenomenon is observed,
namely the threshold pinning current exhibits maximum as a function of the
distance between the impurities.
| nlin.PS | fluxon transmission through several impurities of different strength and type ie microshorts and microresistors placed in a long josephson junction is investigated threshold pinning current on the impurities is computed as a function of the distance between them their amplitudes and the dissipation parameter it is shown that in the case of consequently placed microshorts or microresistors the threshold pinning current exhibits a clear minimum as a function of the distance between the impurities in the case of a microresistor followed by a microshort an opposite phenomenon is observed namely the threshold pinning current exhibits maximum as a function of the distance between the impurities | [['fluxon', 'transmission', 'through', 'several', 'impurities', 'of', 'different', 'strength', 'and', 'type', 'ie', 'microshorts', 'and', 'microresistors', 'placed', 'in', 'a', 'long', 'josephson', 'junction', 'is', 'investigated', 'threshold', 'pinning', 'current', 'on', 'the', 'impurities', 'is', 'computed', 'as', 'a', 'function', 'of', 'the', 'distance', 'between', 'them', 'their', 'amplitudes', 'and', 'the', 'dissipation', 'parameter', 'it', 'is', 'shown', 'that', 'in', 'the', 'case', 'of', 'consequently', 'placed', 'microshorts', 'or', 'microresistors', 'the', 'threshold', 'pinning', 'current', 'exhibits', 'a', 'clear', 'minimum', 'as', 'a', 'function', 'of', 'the', 'distance', 'between', 'the', 'impurities', 'in', 'the', 'case', 'of', 'a', 'microresistor', 'followed', 'by', 'a', 'microshort', 'an', 'opposite', 'phenomenon', 'is', 'observed', 'namely', 'the', 'threshold', 'pinning', 'current', 'exhibits', 'maximum', 'as', 'a', 'function', 'of', 'the', 'distance', 'between', 'the', 'impurities']] | [-0.2084337923103871, 0.15571460394243578, -0.0293196828547612, 0.059504552581573576, 0.004118305985879117, -0.1480637178665877, 0.11079110990016205, 0.36340368868900663, -0.2603128885833922, -0.27952306227559603, 0.027149343972763463, -0.3008928452528, -0.11910904739820624, 0.1778936437896263, 0.019074413845161863, -0.008506280614189732, -0.027310022329278653, 0.07352639930955704, -0.07468802599209243, -0.16989368950785363, 0.2920675247871471, 0.04394030408143717, 0.33308305868933213, 0.12566167017607724, 0.07402206843284306, 0.005150984303609839, 0.0735718659803416, 0.07394866670653658, -0.12318030780316071, 0.015295241722041398, 0.16317807564746986, 0.0037395825871781815, 0.23131401435860877, -0.4278293943701728, -0.19098194336826071, 0.09507527583034582, 0.1498446794513848, 0.10753114816271564, -0.03968107423324644, -0.2639037623630782, 0.047312029076794396, -0.11811397908237374, -0.11183632687367137, 0.0757484042664393, 0.07791368674161364, 0.07535205637692537, -0.26822042913691513, 0.0852696969234882, 0.05851638908000681, 0.05827511724048448, -0.021555289056477616, -0.08686506486830112, -0.06015098390612498, 0.09515998538728189, 0.051206101383109694, 0.06958356613148618, 0.1510751431952547, -0.17033170635622102, -0.07953633126820826, 0.31534202161552477, -0.061952754143101064, -0.15899035915123746, 0.1706726423835436, -0.11690319165388502, 0.013615157961556055, 0.08534577895787734, 0.11076928180127034, 0.0925226888700741, -0.14536195456330636, 0.049484039962549416, -0.0026377819171084942, 0.14692937973796308, 0.0924547193345876, 0.03167756942091781, 0.23953401180689485, 0.2254944649995169, 0.11223376613761325, 0.18176505036507418, -0.175004687183141, -0.0643210885322933, -0.3001152219485889, -0.10717260751656248, -0.23200314829252588, 0.04508314536572479, -0.08589429910098614, -0.21414634801568327, 0.38263705087084215, 0.09573727108321144, 0.26031579294703105, -0.001612796712648666, 0.24685534276972407, 0.170606569094285, 0.09550199242426281, 0.02709832323660839, 0.2821343289055292, 0.15296101143348564, 0.08031487685867847, -0.26464218821702074, 0.10680680700297494, 0.02962869926111646] |
712.1353 | The impact of magnetic field on the thermal evolution of neutron stars | The impact of strong magnetic fields B>10e13 G on the thermal evolution of
neutron stars is investigated, including crustal heating by magnetic field
decay. For this purpose, we perform 2D cooling simulations with anisotropic
thermal conductivity considering all relevant neutrino emission processes for
realistic neutron stars. The standard cooling models of neutron stars are
called into question by showing that the magnetic field has relevant (and in
many cases dominant) effects on the thermal evolution. The presence of the
magnetic field significantly affects the thermal surface distribution and the
cooling history of these objects during both, the early neutrino cooling era
and the late photon cooling era. The minimal cooling scenario is thus more
complex than generally assumed. A consistent magneto-thermal evolution of
magnetized neutron stars is needed to explain the observations.
| astro-ph hep-ph nucl-th | the impact of strong magnetic fields b10e13 g on the thermal evolution of neutron stars is investigated including crustal heating by magnetic field decay for this purpose we perform 2d cooling simulations with anisotropic thermal conductivity considering all relevant neutrino emission processes for realistic neutron stars the standard cooling models of neutron stars are called into question by showing that the magnetic field has relevant and in many cases dominant effects on the thermal evolution the presence of the magnetic field significantly affects the thermal surface distribution and the cooling history of these objects during both the early neutrino cooling era and the late photon cooling era the minimal cooling scenario is thus more complex than generally assumed a consistent magnetothermal evolution of magnetized neutron stars is needed to explain the observations | [['the', 'impact', 'of', 'strong', 'magnetic', 'fields', 'b10e13', 'g', 'on', 'the', 'thermal', 'evolution', 'of', 'neutron', 'stars', 'is', 'investigated', 'including', 'crustal', 'heating', 'by', 'magnetic', 'field', 'decay', 'for', 'this', 'purpose', 'we', 'perform', '2d', 'cooling', 'simulations', 'with', 'anisotropic', 'thermal', 'conductivity', 'considering', 'all', 'relevant', 'neutrino', 'emission', 'processes', 'for', 'realistic', 'neutron', 'stars', 'the', 'standard', 'cooling', 'models', 'of', 'neutron', 'stars', 'are', 'called', 'into', 'question', 'by', 'showing', 'that', 'the', 'magnetic', 'field', 'has', 'relevant', 'and', 'in', 'many', 'cases', 'dominant', 'effects', 'on', 'the', 'thermal', 'evolution', 'the', 'presence', 'of', 'the', 'magnetic', 'field', 'significantly', 'affects', 'the', 'thermal', 'surface', 'distribution', 'and', 'the', 'cooling', 'history', 'of', 'these', 'objects', 'during', 'both', 'the', 'early', 'neutrino', 'cooling', 'era', 'and', 'the', 'late', 'photon', 'cooling', 'era', 'the', 'minimal', 'cooling', 'scenario', 'is', 'thus', 'more', 'complex', 'than', 'generally', 'assumed', 'a', 'consistent', 'magnetothermal', 'evolution', 'of', 'magnetized', 'neutron', 'stars', 'is', 'needed', 'to', 'explain', 'the', 'observations']] | [-0.08802390080354112, 0.2703065752613408, -0.03981731271101091, 0.11835371884019719, -0.09809214503411914, -0.03234096314715407, 0.002486696185984912, 0.35443374411138984, -0.2081844430196433, -0.3278084403003445, 0.06476228119439324, -0.25241051250286684, -0.015667378099080715, 0.26977898002751455, 0.03934535301709903, -0.02122350726703196, 0.07193962763284, 0.0001927790985591994, -0.03272603482953521, -0.243521488046821, 0.3526971413876563, 0.10264401691290372, 0.2319081198452538, 0.02920701002830085, 0.026423491295853644, -0.05986740331001978, -0.036187621075233434, -0.0071549229260685345, -0.13347395035494447, -0.03190436129607545, 0.15598917198101372, 0.06782015102368047, 0.17333444517873625, -0.4948235296480756, -0.29672691546636454, 0.11517495804160606, 0.15087995456019773, 0.0832727528888135, -0.0943810877481072, -0.19566818289032192, 0.020481246079225805, -0.16110087710589113, -0.11768866896288085, -0.05627754589414779, 0.01847429246156706, -0.003247238681402825, -0.2747888723601594, 0.09854683658563113, 0.07598811981645022, 0.025086740376641048, -0.13354217352786366, -0.10426261279561365, -0.023285365162260888, 0.05892546240769981, 0.07167257101609166, 0.03351936197505539, 0.22749521678228302, -0.1972908312152673, -0.031200496828226187, 0.4053711953594257, -0.09075866822912695, -0.029242646030882617, 0.17806059247209827, -0.22251473906634817, -0.11972184439068874, 0.1745552533512352, 0.12752175444865044, 0.14361640478249724, -0.1624784031785129, 0.030887805400434027, 0.034667004333481986, 0.12161394566269094, 0.01378358974484087, 0.04029934982705207, 0.34209218964279264, 0.23219460590017377, -0.04943284640961348, 0.10000272906733719, -0.1601393176704816, -0.06086489856634147, -0.2406009054877831, -0.11090286396699779, -0.10585625906286492, 0.08302152308969553, -0.10573655338071461, -0.15624914873206547, 0.36442470988472, 0.15935768701406267, 0.10221345521125744, -0.043215802501005526, 0.3417004847380098, 0.09529827925454797, 0.060359305886992516, 0.11465248284072309, 0.31295675240485493, 0.2419638164049967, 0.12802918339930192, -0.35520631152041654, 0.08797464167471719, -0.025958637890000722] |
712.1354 | Localized polarons and doorway vibrons in finite quantum structures | We consider transport through finite quantum systems such as quantum
barriers, wells, dots or junctions, coupled to local vibrational modes in the
quantal regime. As a generic model we study the Holstein-Hubbard Hamiltonian
with site-dependent potentials and interactions. Depending on the barrier
height to electron-phonon coupling strength ratio and the phonon frequency we
find distinct opposed behaviors: Vibration-mediated tunneling or intrinsic
localization of (bi)polarons. These regimes are strongly manifested in the
density correlations, mobility, and optical response calculated by exact
numerical techniques.
| cond-mat.str-el | we consider transport through finite quantum systems such as quantum barriers wells dots or junctions coupled to local vibrational modes in the quantal regime as a generic model we study the holsteinhubbard hamiltonian with sitedependent potentials and interactions depending on the barrier height to electronphonon coupling strength ratio and the phonon frequency we find distinct opposed behaviors vibrationmediated tunneling or intrinsic localization of bipolarons these regimes are strongly manifested in the density correlations mobility and optical response calculated by exact numerical techniques | [['we', 'consider', 'transport', 'through', 'finite', 'quantum', 'systems', 'such', 'as', 'quantum', 'barriers', 'wells', 'dots', 'or', 'junctions', 'coupled', 'to', 'local', 'vibrational', 'modes', 'in', 'the', 'quantal', 'regime', 'as', 'a', 'generic', 'model', 'we', 'study', 'the', 'holsteinhubbard', 'hamiltonian', 'with', 'sitedependent', 'potentials', 'and', 'interactions', 'depending', 'on', 'the', 'barrier', 'height', 'to', 'electronphonon', 'coupling', 'strength', 'ratio', 'and', 'the', 'phonon', 'frequency', 'we', 'find', 'distinct', 'opposed', 'behaviors', 'vibrationmediated', 'tunneling', 'or', 'intrinsic', 'localization', 'of', 'bipolarons', 'these', 'regimes', 'are', 'strongly', 'manifested', 'in', 'the', 'density', 'correlations', 'mobility', 'and', 'optical', 'response', 'calculated', 'by', 'exact', 'numerical', 'techniques']] | [-0.20637936977508628, 0.20022959695600065, -0.01799470690196886, 0.0641221849500765, 0.043291258441721214, -0.21669898182728592, 0.060022154874685735, 0.39953944199707037, -0.28286638433964534, -0.2452533442389082, -0.047236499477200856, -0.326895311359822, -0.16811181527251998, 0.1652530334274756, 0.08483281259045557, 0.04326424995483256, 0.008295181770751506, -0.03886782734390394, -0.03750496330084624, -0.13951510375216145, 0.294615268730271, 0.014691712780292203, 0.3112283323282077, 0.11228026041508089, 0.03348458501406842, 0.05602967717259386, 0.1215334244210411, 0.042849688319328394, -0.20175607869240605, 0.02524158219450418, 0.2321704793376503, -0.12151573314963851, 0.21455554719324466, -0.4788659007323009, -0.23606273903293007, 0.029154170031463842, 0.19884568765862948, 0.18116276353356187, -0.008981836877797765, -0.3056922970040713, -0.035022472591932724, -0.15564062298034076, -0.10453662141168743, -0.10228957863018652, 0.0016893580251223879, 0.07495206932215319, -0.25608519115197803, 0.14495859184175913, 0.002378248783506821, 0.07429171641023806, -0.0748528577502311, -0.06662407685301186, -0.034884721552378234, 0.0825726090826922, 0.024960062032519482, -0.06905524373157984, 0.21070142048353582, -0.1194543740316869, -0.1373366516508898, 0.3552576991625958, -0.07404755425271521, -0.1575544729259693, 0.2449648870776097, -0.12275210043047498, -0.009992582769489583, 0.08516071647417123, 0.13539653664086887, 0.09827556297826914, -0.12539424773242416, 0.12177851604783539, 0.06711754008098562, 0.14735197800177116, 0.03032935619423235, 0.1395286892966172, 0.23255612967926778, 0.1279340409817473, 0.028239805705523417, 0.10862960981458057, -0.08655273301216464, -0.1374074307638278, -0.24967184540367238, -0.08905608222365702, -0.21573814540601302, 0.10337991990080034, -0.08260152291130694, -0.2117998310778704, 0.40988222450983747, 0.132179938653415, 0.20225603239219866, 0.011610421947100096, 0.24230588976017856, 0.20971696456767802, 0.05363444731007388, 0.014573029437918722, 0.251343933274728, 0.17844264740756724, 0.04277217401950448, -0.3468850992352667, 0.011726212854508632, 0.02790844537904141] |
712.1355 | Dynamical Supersymmetry Breaking and Low Energy Gauge Mediation | Dynamical breaking of supersymmetry was long thought to be an exceptional
phenomenon, but recent developments have altered this view. A question of great
interest in the current framework is the value of the underlying scale of
supersymmetry breaking. The "little hierarchy" problem suggests that
supersymmetry should be broken at low energies. Within one class of models, low
energy breaking be achieved as a consequence of symmetries, without requiring
odd coincidences. The low energy theories are distinguished by the presence or
absence of $R$ symmetries; in either case, and especially the latter one often
finds modifications of the minimal gauge-mediated spectrum which can further
ameliorate problems of fine tuning. Various natural mechanisms exist to solve
the $\mu$ problem in this framework.
| hep-ph | dynamical breaking of supersymmetry was long thought to be an exceptional phenomenon but recent developments have altered this view a question of great interest in the current framework is the value of the underlying scale of supersymmetry breaking the little hierarchy problem suggests that supersymmetry should be broken at low energies within one class of models low energy breaking be achieved as a consequence of symmetries without requiring odd coincidences the low energy theories are distinguished by the presence or absence of r symmetries in either case and especially the latter one often finds modifications of the minimal gaugemediated spectrum which can further ameliorate problems of fine tuning various natural mechanisms exist to solve the mu problem in this framework | [['dynamical', 'breaking', 'of', 'supersymmetry', 'was', 'long', 'thought', 'to', 'be', 'an', 'exceptional', 'phenomenon', 'but', 'recent', 'developments', 'have', 'altered', 'this', 'view', 'a', 'question', 'of', 'great', 'interest', 'in', 'the', 'current', 'framework', 'is', 'the', 'value', 'of', 'the', 'underlying', 'scale', 'of', 'supersymmetry', 'breaking', 'the', 'little', 'hierarchy', 'problem', 'suggests', 'that', 'supersymmetry', 'should', 'be', 'broken', 'at', 'low', 'energies', 'within', 'one', 'class', 'of', 'models', 'low', 'energy', 'breaking', 'be', 'achieved', 'as', 'a', 'consequence', 'of', 'symmetries', 'without', 'requiring', 'odd', 'coincidences', 'the', 'low', 'energy', 'theories', 'are', 'distinguished', 'by', 'the', 'presence', 'or', 'absence', 'of', 'r', 'symmetries', 'in', 'either', 'case', 'and', 'especially', 'the', 'latter', 'one', 'often', 'finds', 'modifications', 'of', 'the', 'minimal', 'gaugemediated', 'spectrum', 'which', 'can', 'further', 'ameliorate', 'problems', 'of', 'fine', 'tuning', 'various', 'natural', 'mechanisms', 'exist', 'to', 'solve', 'the', 'mu', 'problem', 'in', 'this', 'framework']] | [-0.14273910374225426, 0.16617459433922097, -0.03196101230569184, 0.14142859053002516, -0.10470454029224735, -0.16258698540332261, 0.001016157167032361, 0.3374175554024987, -0.3009173489136932, -0.3851354858838022, 0.13812039463664405, -0.19958450290141627, -0.11549364146970523, 0.11864992320188321, -0.05776452017986836, 0.020730309083592146, 0.027675793995149432, 0.013633746327832342, -0.07580881928442977, -0.21947302484768444, 0.2888313290663064, 0.08024766848272218, 0.26671983395547916, 0.09500797350968544, 0.062046292512483586, -0.033798981069897614, 0.0327548122111087, -0.005743004715380569, -0.07038642420502583, 0.09212409682222641, 0.2543588405799104, 0.08277717349798573, 0.23986371414115032, -0.4248842854440833, -0.2662673083599657, 0.18877978800640752, 0.1632538780628238, 0.14164734272732554, -0.06144413315147782, -0.25783748568889375, 0.10608507554837464, -0.15256386605712274, -0.1718823780967796, -0.05067354349885136, -0.03217803135048598, -0.09911065435347458, -0.2352023326054526, 0.09913157711756261, 0.06192664382469957, 0.07508356783073396, -0.021436748564398537, -0.07337808825735313, -0.0469872877127879, 0.06758829906854467, 0.14953663070336914, 0.010790640701695034, 0.10714390489350384, -0.19155676058726384, -0.14626054332281152, 0.4333412272389978, -0.009105700715250957, -0.20864467369428893, 0.19061242669122294, -0.10725817669299431, -0.21440809697766477, 0.1599049334297888, 0.12135432129531788, 0.11735173816947887, -0.10945279568331898, 0.15900750558964016, -0.022365168939965468, 0.1506399630724142, 0.08317591260614184, 0.06690008026586534, 0.2597737940726802, 0.16806668500454786, 0.05966453083286372, 0.08733855832542758, -0.0004148458285878102, -0.09665782393810028, -0.32017708314427484, -0.0820990074852792, -0.14692810936054837, 0.06298901587918711, -0.06620533486893691, -0.09578963392414153, 0.387464238734295, 0.1069072428586272, 0.2280003358765195, -0.008294506098415392, 0.21638652376908188, 0.1376836455029358, 0.12489155714720254, -0.008449582440759211, 0.25921349730730675, 0.06232787601863189, 0.08055882978563507, -0.22024774550906537, 0.0266379660393189, 0.04292666416149586] |
712.1356 | Character and detectability of the dark ages and the epoch of
reionization: the view from the simulations | Direct detection of the Dark Ages and the Epoch of Reionization
(EOR) is among the main scientific objectives of all current and future
low-frequency radio facilities. In this paper we summarize and discuss recent
results, based on state-of-the-art numerical simulations, regarding the
fundamental EOR properties and its observability with current and future radio
arrays, like the Giant Metrewave Radio Telescope (GMRT), the Low Frequency
Array (LOFAR), the 21-CM Array (21CMA), the Murchison Widefield Array (MWA) and
the Square Kilometre Array (SKA). Results show that the optimal observational
frequencies for statistical detection are 140-160 MHz. The signals are strongly
non-Gaussian at late times. The correlation widths between 21-cm maps at
neighbouring frequencies are short, of order 300-800 kHz, which should help
with the cleaning of the strong foregrounds. Direct comparison of the
resolutions and expected sensitivities of GMRT and MWA indicate that their
optimal sensitivity ranges are similar, at scales k~0.2-0.4 h/Mpc, however, all
else being equal the former should require shorter integration times due to its
significantly larger collecting area.
| astro-ph | direct detection of the dark ages and the epoch of reionization eor is among the main scientific objectives of all current and future lowfrequency radio facilities in this paper we summarize and discuss recent results based on stateoftheart numerical simulations regarding the fundamental eor properties and its observability with current and future radio arrays like the giant metrewave radio telescope gmrt the low frequency array lofar the 21cm array 21cma the murchison widefield array mwa and the square kilometre array ska results show that the optimal observational frequencies for statistical detection are 140160 mhz the signals are strongly nongaussian at late times the correlation widths between 21cm maps at neighbouring frequencies are short of order 300800 khz which should help with the cleaning of the strong foregrounds direct comparison of the resolutions and expected sensitivities of gmrt and mwa indicate that their optimal sensitivity ranges are similar at scales k0204 hmpc however all else being equal the former should require shorter integration times due to its significantly larger collecting area | [['direct', 'detection', 'of', 'the', 'dark', 'ages', 'and', 'the', 'epoch', 'of', 'reionization', 'eor', 'is', 'among', 'the', 'main', 'scientific', 'objectives', 'of', 'all', 'current', 'and', 'future', 'lowfrequency', 'radio', 'facilities', 'in', 'this', 'paper', 'we', 'summarize', 'and', 'discuss', 'recent', 'results', 'based', 'on', 'stateoftheart', 'numerical', 'simulations', 'regarding', 'the', 'fundamental', 'eor', 'properties', 'and', 'its', 'observability', 'with', 'current', 'and', 'future', 'radio', 'arrays', 'like', 'the', 'giant', 'metrewave', 'radio', 'telescope', 'gmrt', 'the', 'low', 'frequency', 'array', 'lofar', 'the', '21cm', 'array', '21cma', 'the', 'murchison', 'widefield', 'array', 'mwa', 'and', 'the', 'square', 'kilometre', 'array', 'ska', 'results', 'show', 'that', 'the', 'optimal', 'observational', 'frequencies', 'for', 'statistical', 'detection', 'are', '140160', 'mhz', 'the', 'signals', 'are', 'strongly', 'nongaussian', 'at', 'late', 'times', 'the', 'correlation', 'widths', 'between', '21cm', 'maps', 'at', 'neighbouring', 'frequencies', 'are', 'short', 'of', 'order', '300800', 'khz', 'which', 'should', 'help', 'with', 'the', 'cleaning', 'of', 'the', 'strong', 'foregrounds', 'direct', 'comparison', 'of', 'the', 'resolutions', 'and', 'expected', 'sensitivities', 'of', 'gmrt', 'and', 'mwa', 'indicate', 'that', 'their', 'optimal', 'sensitivity', 'ranges', 'are', 'similar', 'at', 'scales', 'k0204', 'hmpc', 'however', 'all', 'else', 'being', 'equal', 'the', 'former', 'should', 'require', 'shorter', 'integration', 'times', 'due', 'to', 'its', 'significantly', 'larger', 'collecting', 'area']] | [-0.12045448816783683, 0.13017172536112853, 0.022327698348365593, 0.06225378561514215, -0.1285119383780495, -0.07091707640641629, -0.008223621000414549, 0.4534789110870051, -0.1745260331129446, -0.3069592231950728, 0.1960118305173664, -0.29776180066587127, -0.09315467339846686, 0.25088920398786135, 0.06145434446368345, -0.010767410700443647, 0.0931455224322585, -0.1198326911826855, -0.05284354815083231, -0.23052457633866383, 0.16896422739352854, 0.21207244982446968, 0.2734788099814278, 0.007805385379039424, 0.07174405225376274, -0.11642878506017143, -0.13837669255554996, -0.04799154561740407, -0.11422094613179005, 0.05086709815766332, 0.3215594280706774, 0.16485905403976697, 0.21424101960580774, -0.4097029014611782, -0.1619416662814239, 0.12400975339555528, 0.12029024638950593, 0.0589764852361952, 0.01724112561019413, -0.3488951320732398, 0.09126505804022211, -0.16913735997703302, -0.1265896334472669, 0.05078445092813503, -0.012416441621776868, 0.11266900169368305, -0.20775029265401698, 0.07951558954061765, -0.03412734925438314, 0.04626193108759027, -0.04577156097611644, -0.21916663590763535, 0.06720101047298986, 0.11717802762073194, -0.003002305099046266, 0.02410238827082753, 0.1485988893243071, -0.14752707181680264, -0.09033291603089999, 0.34646932633053623, -0.08117097417049705, 0.0004505569930877206, 0.21790248570693713, -0.2784007236350482, -0.18904785842761485, 0.1526634105351704, 0.16420566220630026, 0.015680289919592836, -0.10522297460561034, 0.05613487542034457, 0.0540079352130408, 0.2655159671213643, 0.10297893982975793, 0.11041167937494682, 0.35881941551728364, 0.15402839435595114, 0.15724831723922192, 0.07346990493955587, -0.2222616751609403, 0.030058677776678075, -0.2541320951315905, -0.03884693592808832, -0.17617975945926145, 0.07709028860127014, -0.12333486138838867, -0.07551046168795351, 0.4098203593297426, 0.20414138609025428, 0.1191549776783268, 0.13333170951727072, 0.3894977042418436, 0.04354670647112928, 0.06226012176701788, 0.01404617966935259, 0.28917964183058614, 0.1266880387539518, 0.11659848777378892, -0.2208961701480749, 0.0005907401223474089, -0.05202418661362233] |
712.1357 | Connectivity of the Product Replacement Algorithm Graph of PSL(2,q) | The product replacement algorithm is a practical algorithm to construct
random elements of a finite group G. It can be described as a random walk on a
graph whose vertices are the generating k-tuples of G (for a fixed k). We show
that if G is PSL(2,q) or PGL(2,q), where q is a prime power, then this graph is
connected for any k>=4. This generalizes former results obtained by Gilman and
Evans.
| math.GR | the product replacement algorithm is a practical algorithm to construct random elements of a finite group g it can be described as a random walk on a graph whose vertices are the generating ktuples of g for a fixed k we show that if g is psl2q or pgl2q where q is a prime power then this graph is connected for any k4 this generalizes former results obtained by gilman and evans | [['the', 'product', 'replacement', 'algorithm', 'is', 'a', 'practical', 'algorithm', 'to', 'construct', 'random', 'elements', 'of', 'a', 'finite', 'group', 'g', 'it', 'can', 'be', 'described', 'as', 'a', 'random', 'walk', 'on', 'a', 'graph', 'whose', 'vertices', 'are', 'the', 'generating', 'ktuples', 'of', 'g', 'for', 'a', 'fixed', 'k', 'we', 'show', 'that', 'if', 'g', 'is', 'psl2q', 'or', 'pgl2q', 'where', 'q', 'is', 'a', 'prime', 'power', 'then', 'this', 'graph', 'is', 'connected', 'for', 'any', 'k4', 'this', 'generalizes', 'former', 'results', 'obtained', 'by', 'gilman', 'and', 'evans']] | [-0.18407580277158153, 0.1597332091575178, -0.12145423896921177, -0.00575088191868013, -0.11513555409166859, -0.17759075252494463, 0.04646285452084461, 0.39561600597678787, -0.2622996775058305, -0.24390350952227083, 0.09319401826683639, -0.28141390865979093, -0.17201447540881215, 0.17600283477804624, -0.10695495147309783, -0.025245935685234144, 0.07999817327234066, 0.15467603349437317, 0.0035568032342578387, -0.2789356119117454, 0.2889570537954569, -0.053015461747741535, 0.1586908093627749, 0.01564120941071047, 0.09787763202459449, 0.02967309111651654, 0.0028063679508502698, 0.0880627109695019, -0.10612177285222263, 0.06014797339190005, 0.2699546900370883, 0.11062960524577647, 0.27144996158313006, -0.29056217873262036, -0.1872115964975415, 0.21778281219303608, 0.11759105906175035, 0.02955836435366008, -0.02219983539705734, -0.2303857936187544, 0.19981626736828023, -0.17676602333732364, -0.10801756907797729, -0.03263858379796147, 0.11324003770843977, 0.024943502994978592, -0.3688791665869455, -0.054793580377008766, 0.11140536736800438, 0.04388682797758116, 0.08058540052863666, -0.14922571894971448, -0.023973038038497582, 0.09265163567033596, -0.07121680341919677, 0.10788520800674127, 0.06918015445504959, -0.054122469536701426, -0.1524343747813772, 0.411729118521584, -0.047399222867574684, -0.17870070314772116, 0.0717922969811803, -0.12249535720265056, -0.16210549008489275, 0.09882883831030792, 0.09683221418203579, 0.16821236817890572, -0.06931770138423114, 0.16697893573624847, -0.16533353908582488, 0.09899231274094847, 0.07660180976381525, -0.07154656864521611, 0.10180107794520962, 0.12418360463925637, 0.13949859489609176, 0.1525136060663499, 0.041456131933955476, 0.05428361201969286, -0.3172911339206621, -0.13623370434571472, -0.29478722522293943, 0.13064632748460603, -0.15066554859751907, -0.1954618046681086, 0.38738639952821863, 0.061363915072029665, 0.20480392199371839, 0.11958162326158749, 0.2686135751298732, 0.12521754039496752, 0.04642401140881702, 0.15821713467852938, 0.04913458058662298, 0.18945108457895307, -0.0768133246844324, -0.14702768561093965, 0.03481595575835349, 0.17437881616125298] |
712.1358 | Energy, angular momentum, superenergy and angular supermomentum in
conformal frames | We find the rules of the conformal transformation for the energetic
quantities such as the Einstein energy-momentum complex, the Bergmann-Thomson
angular momentum complex, the superenergy tensor, and the angular supermomentum
tensor of gravitation and matter. We show that the conformal transformation
rules for the matter parts of both the Einstein complex and the
Bergmann-Thomson complex are fairly simple, while the transformation rules for
their gravitational parts are more complicated. We also find that the
transformational rules of the superenergy tensor of matter and the superenergy
tensor of gravity are quite complicated except for the case of a pure gravity.
In such a special case the superenergy density as well as the sum of the
superenergy density and the matter energy density are invariants of the
conformal transformation. Besides, in that case, a conformal invariant is also
the Bel-Robinson tensor which is a part of the superenergy tensor. As for the
angular supermomentum tensor of gravity - it emerges that its transformational
rule even for a pure gravity is quite complicated but this is not the case for
the angular supermomentum tensor of matter. Having investigated some
technicalities of the conformal transformations, we also find the conformal
transformation rule for the curvature invariants and, in particular, for the
Gauss-Bonnet invariant in a spacetime of arbitrary dimension.
| hep-th astro-ph gr-qc | we find the rules of the conformal transformation for the energetic quantities such as the einstein energymomentum complex the bergmannthomson angular momentum complex the superenergy tensor and the angular supermomentum tensor of gravitation and matter we show that the conformal transformation rules for the matter parts of both the einstein complex and the bergmannthomson complex are fairly simple while the transformation rules for their gravitational parts are more complicated we also find that the transformational rules of the superenergy tensor of matter and the superenergy tensor of gravity are quite complicated except for the case of a pure gravity in such a special case the superenergy density as well as the sum of the superenergy density and the matter energy density are invariants of the conformal transformation besides in that case a conformal invariant is also the belrobinson tensor which is a part of the superenergy tensor as for the angular supermomentum tensor of gravity it emerges that its transformational rule even for a pure gravity is quite complicated but this is not the case for the angular supermomentum tensor of matter having investigated some technicalities of the conformal transformations we also find the conformal transformation rule for the curvature invariants and in particular for the gaussbonnet invariant in a spacetime of arbitrary dimension | [['we', 'find', 'the', 'rules', 'of', 'the', 'conformal', 'transformation', 'for', 'the', 'energetic', 'quantities', 'such', 'as', 'the', 'einstein', 'energymomentum', 'complex', 'the', 'bergmannthomson', 'angular', 'momentum', 'complex', 'the', 'superenergy', 'tensor', 'and', 'the', 'angular', 'supermomentum', 'tensor', 'of', 'gravitation', 'and', 'matter', 'we', 'show', 'that', 'the', 'conformal', 'transformation', 'rules', 'for', 'the', 'matter', 'parts', 'of', 'both', 'the', 'einstein', 'complex', 'and', 'the', 'bergmannthomson', 'complex', 'are', 'fairly', 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712.1359 | Borel Ranks and Wadge Degrees of Context Free Omega Languages | We show that, from a topological point of view, considering the Borel and the
Wadge hierarchies, 1-counter B\"uchi automata have the same accepting power
than Turing machines equipped with a B\"uchi acceptance condition. In
particular, for every non null recursive ordinal alpha, there exist some
Sigma^0_alpha-complete and some Pi^0_alpha-complete omega context free
languages accepted by 1-counter B\"uchi automata, and the supremum of the set
of Borel ranks of context free omega languages is the ordinal gamma^1_2 which
is strictly greater than the first non recursive ordinal. This very surprising
result gives answers to questions of H. Lescow and W. Thomas [Logical
Specifications of Infinite Computations, In:"A Decade of Concurrency", LNCS
803, Springer, 1994, p. 583-621].
| cs.LO cs.GT math.LO | we show that from a topological point of view considering the borel and the wadge hierarchies 1counter buchi automata have the same accepting power than turing machines equipped with a buchi acceptance condition in particular for every non null recursive ordinal alpha there exist some sigma0_alphacomplete and some pi0_alphacomplete omega context free languages accepted by 1counter buchi automata and the supremum of the set of borel ranks of context free omega languages is the ordinal gamma1_2 which is strictly greater than the first non recursive ordinal this very surprising result gives answers to questions of h lescow and w thomas logical specifications of infinite computations ina decade of concurrency lncs 803 springer 1994 p 583621 | [['we', 'show', 'that', 'from', 'a', 'topological', 'point', 'of', 'view', 'considering', 'the', 'borel', 'and', 'the', 'wadge', 'hierarchies', '1counter', 'buchi', 'automata', 'have', 'the', 'same', 'accepting', 'power', 'than', 'turing', 'machines', 'equipped', 'with', 'a', 'buchi', 'acceptance', 'condition', 'in', 'particular', 'for', 'every', 'non', 'null', 'recursive', 'ordinal', 'alpha', 'there', 'exist', 'some', 'sigma0_alphacomplete', 'and', 'some', 'pi0_alphacomplete', 'omega', 'context', 'free', 'languages', 'accepted', 'by', '1counter', 'buchi', 'automata', 'and', 'the', 'supremum', 'of', 'the', 'set', 'of', 'borel', 'ranks', 'of', 'context', 'free', 'omega', 'languages', 'is', 'the', 'ordinal', 'gamma1_2', 'which', 'is', 'strictly', 'greater', 'than', 'the', 'first', 'non', 'recursive', 'ordinal', 'this', 'very', 'surprising', 'result', 'gives', 'answers', 'to', 'questions', 'of', 'h', 'lescow', 'and', 'w', 'thomas', 'logical', 'specifications', 'of', 'infinite', 'computations', 'ina', 'decade', 'of', 'concurrency', 'lncs', '803', 'springer', '1994', 'p', '583621']] | [-0.16051408248022198, 0.1510330326895675, -0.05951660549187142, 0.16516306357073557, -0.1228166378305658, -0.21950961755507667, 0.14475234529489409, 0.30787460713282877, -0.3001792783484511, -0.24013971709848747, 0.0474045212937357, -0.28392797025001565, -0.04792969843939594, 0.18176673022908685, -0.1410625375645316, 0.08184415525351854, 0.07598652575650941, 0.06975730045334153, -0.008831076443438297, -0.2899184422162564, 0.33161309589024474, -0.021953673637472092, 0.2305766710606606, 0.007696388096994032, 0.10286817972588798, 0.019025593868497274, -0.02908338750510112, 0.07000578758914186, -0.13503498248585105, 0.08591535909597398, 0.34966615599620604, 0.25462345097052014, 0.33912630639970304, -0.3395153374965404, -0.09681621762397497, 0.16149819514754674, 0.05997439074208555, -0.008915995965387833, 0.06382360097992679, -0.28382362839158465, 0.12709409302181524, -0.22381106178660917, -0.03928178113520793, -0.04262870867210238, 0.12161505122709533, 0.002383072038545557, -0.2198109076641824, -0.047158688859528175, 0.20667502647670716, 0.18183319052762312, -0.031527035744131904, -0.14809279579102344, -0.014311430724236466, 0.035780980523027806, -0.006870752210670616, 0.042641079721405455, 0.016342910876720334, -0.04159188533515629, -0.26985457069847896, 0.3717465571249309, -0.011326869760650088, -0.20275852179721646, 0.2089184810731398, -0.1685460309923181, -0.1840635271469617, 0.10586626276414356, 0.035211615979104584, 0.07304447868879399, -0.05630822789085948, 0.20422985246607467, -0.15231859282711926, 0.18606882975360825, 0.2241597848255997, 0.0055542927792133845, 0.11879876878760431, 0.1683332969110621, 0.06231979181402889, 0.10483625262125355, 0.08768167862587649, -0.058879423874389866, -0.3127211903444613, -0.1535658943183396, -0.06456597653096137, 0.06090098679794566, -0.04924780437267264, -0.21786628846160094, 0.29638694920172187, 0.09808934141486964, 0.06375282581189505, 0.23892692051848155, 0.21085726613097866, 0.10678011208036206, 0.007706161959947127, 0.0992280597758034, 0.06390376639117122, 0.13492731234342184, 0.08260032026319886, -0.1289617238824418, 0.0986822439448746, 0.17153565483977612] |
712.136 | Signal Recovery from Incomplete and Inaccurate Measurements via
Regularized Orthogonal Matching Pursuit | We demonstrate a simple greedy algorithm that can reliably recover a
d-dimensional vector v from incomplete and inaccurate measurements x. Here our
measurement matrix is an N by d matrix with N much smaller than d. Our
algorithm, Regularized Orthogonal Matching Pursuit (ROMP), seeks to close the
gap between two major approaches to sparse recovery. It combines the speed and
ease of implementation of the greedy methods with the strong guarantees of the
convex programming methods. For any measurement matrix that satisfies a Uniform
Uncertainty Principle, ROMP recovers a signal with O(n) nonzeros from its
inaccurate measurements x in at most n iterations, where each iteration amounts
to solving a Least Squares Problem. The noise level of the recovery is
proportional to the norm of the error, up to a log factor. In particular, if
the error vanishes the reconstruction is exact. This stability result extends
naturally to the very accurate recovery of approximately sparse signals.
| math.NA | we demonstrate a simple greedy algorithm that can reliably recover a ddimensional vector v from incomplete and inaccurate measurements x here our measurement matrix is an n by d matrix with n much smaller than d our algorithm regularized orthogonal matching pursuit romp seeks to close the gap between two major approaches to sparse recovery it combines the speed and ease of implementation of the greedy methods with the strong guarantees of the convex programming methods for any measurement matrix that satisfies a uniform uncertainty principle romp recovers a signal with on nonzeros from its inaccurate measurements x in at most n iterations where each iteration amounts to solving a least squares problem the noise level of the recovery is proportional to the norm of the error up to a log factor in particular if the error vanishes the reconstruction is exact this stability result extends naturally to the very accurate recovery of approximately sparse signals | [['we', 'demonstrate', 'a', 'simple', 'greedy', 'algorithm', 'that', 'can', 'reliably', 'recover', 'a', 'ddimensional', 'vector', 'v', 'from', 'incomplete', 'and', 'inaccurate', 'measurements', 'x', 'here', 'our', 'measurement', 'matrix', 'is', 'an', 'n', 'by', 'd', 'matrix', 'with', 'n', 'much', 'smaller', 'than', 'd', 'our', 'algorithm', 'regularized', 'orthogonal', 'matching', 'pursuit', 'romp', 'seeks', 'to', 'close', 'the', 'gap', 'between', 'two', 'major', 'approaches', 'to', 'sparse', 'recovery', 'it', 'combines', 'the', 'speed', 'and', 'ease', 'of', 'implementation', 'of', 'the', 'greedy', 'methods', 'with', 'the', 'strong', 'guarantees', 'of', 'the', 'convex', 'programming', 'methods', 'for', 'any', 'measurement', 'matrix', 'that', 'satisfies', 'a', 'uniform', 'uncertainty', 'principle', 'romp', 'recovers', 'a', 'signal', 'with', 'on', 'nonzeros', 'from', 'its', 'inaccurate', 'measurements', 'x', 'in', 'at', 'most', 'n', 'iterations', 'where', 'each', 'iteration', 'amounts', 'to', 'solving', 'a', 'least', 'squares', 'problem', 'the', 'noise', 'level', 'of', 'the', 'recovery', 'is', 'proportional', 'to', 'the', 'norm', 'of', 'the', 'error', 'up', 'to', 'a', 'log', 'factor', 'in', 'particular', 'if', 'the', 'error', 'vanishes', 'the', 'reconstruction', 'is', 'exact', 'this', 'stability', 'result', 'extends', 'naturally', 'to', 'the', 'very', 'accurate', 'recovery', 'of', 'approximately', 'sparse', 'signals']] | [-0.10682064840362634, 0.03348363998492669, -0.07172640136503525, 0.018259580705302935, -0.058056869982885055, -0.1866454034163139, 0.0783150110166902, 0.3579800775459705, -0.31275753248617266, -0.28080105530366734, 0.1259790291899266, -0.2927246021871001, -0.1434508006018288, 0.14483153684667718, -0.10737392896463951, 0.08567860335572802, 0.09869532014291064, 0.06830273592808786, -0.15627305197995156, -0.26547656449614665, 0.21867227470741057, 0.06774146780700017, 0.25496694516951746, -0.01414340269119025, 0.14682199664485568, 0.027023376499971326, -0.00015946407205401323, 0.009112150939659048, -0.06823392786902378, 0.1462429254681457, 0.27719771394876236, 0.17631063654791945, 0.30981301493608415, -0.3803852368384982, -0.1505209672875189, 0.1404282900188357, 0.1211417301510198, 0.11404540283509935, 0.00226093182946221, -0.2321388348340033, 0.13739895624204132, -0.08710606805144404, -0.07773860564040473, -0.05835549832614234, -0.0023909015342211113, -0.040797950547690004, -0.375272846652362, 0.09066154837059096, 0.05263010866548985, -0.01650117764709135, -0.00816556919987003, -0.18326614967559296, 0.06335846472827072, 0.0765012846244738, 0.0429182536735868, 0.09144586523288102, 0.09279539356551443, -0.08114468787337104, -0.09549800123279102, 0.36669941196958417, -0.0831286074114756, -0.21301340258632523, 0.1501641332034547, -0.1228939066730583, -0.11631454108879925, 0.18231749283866241, 0.17546616232217416, 0.12371581082623333, -0.08525175040659423, 0.08566215951279259, -0.06979640171481058, 0.19954830805699414, 0.05830538253455112, 0.00851466133295057, 0.08702685046367921, 0.1519164445642393, 0.17296726879878685, 0.08618836115242746, -0.07058422332584786, -0.028962454630229145, -0.2826363822778848, -0.0972919085626274, -0.2546429535588966, 0.02723835743754768, -0.17465278057613595, -0.15148708321010837, 0.35462108129957837, 0.151218171718005, 0.2256880357909279, 0.11233296329812266, 0.366262863139407, 0.1054888748898147, 0.03129088539236154, 0.1390678829794081, 0.1981256753176403, 0.17864247212837187, 0.01985670529449215, -0.22070209423187548, 0.0981609369852007, 0.09711096432501784] |
712.1361 | Comments on the Boundary Scattering Phase | We present a simple solution to the crossing equation for an open string
worldsheet reflection matrix, with boundaries preserving a SU(1|2)^2 residual
symmetry, which constrains the boundary dressing factor. In addition, we also
propose an analogous crossing equation for the dressing factor where extra
boundary degrees of freedom preserve a SU(2|2)^2 residual symmetry.
| hep-th | we present a simple solution to the crossing equation for an open string worldsheet reflection matrix with boundaries preserving a su122 residual symmetry which constrains the boundary dressing factor in addition we also propose an analogous crossing equation for the dressing factor where extra boundary degrees of freedom preserve a su222 residual symmetry | [['we', 'present', 'a', 'simple', 'solution', 'to', 'the', 'crossing', 'equation', 'for', 'an', 'open', 'string', 'worldsheet', 'reflection', 'matrix', 'with', 'boundaries', 'preserving', 'a', 'su122', 'residual', 'symmetry', 'which', 'constrains', 'the', 'boundary', 'dressing', 'factor', 'in', 'addition', 'we', 'also', 'propose', 'an', 'analogous', 'crossing', 'equation', 'for', 'the', 'dressing', 'factor', 'where', 'extra', 'boundary', 'degrees', 'of', 'freedom', 'preserve', 'a', 'su222', 'residual', 'symmetry']] | [-0.20853330177040055, 0.14893235483423967, -0.08711547519151981, 0.020948427406927712, -0.14125305821653455, -0.1490175423767561, 0.03844938500641057, 0.3338288154023198, -0.2882384119841915, -0.23092713031040218, 0.09408499532191154, -0.24093967325125748, -0.1454310465263776, 0.021161205860642858, -0.06030952079723088, 0.031201661920371968, 0.00797582719510851, 0.05391992427981817, -0.16351790765586954, -0.20033088935395846, 0.34219240511839205, 0.013562917763080735, 0.27057156040189934, 0.08151815798079881, 0.16506953850890008, 0.02292659775747989, 0.06549933592144114, -0.04130093751994606, -0.13907896265244254, 0.11857515813944002, 0.15580319140393, 0.028703899731716283, 0.12162529806104991, -0.44593757754549956, -0.21272262352375457, 0.02941457164258911, 0.18758540011185687, 0.16725417431399153, -0.052057831369053856, -0.2765965807574013, -0.004855832299933984, -0.1411978416144848, -0.25848318794025826, -0.06692060688958289, -0.01914390721000158, -0.13900092498023206, -0.27680488534343356, 0.09381074362933689, 0.03543827440947867, 0.06250866251782729, -0.05890990225956417, -0.046395420687846266, -0.017962943941641312, 0.07188192223055431, 0.05536292024100056, 0.0490483838903646, 0.052474959569875725, -0.203384474291502, -0.05169220233801752, 0.3688055918766902, -0.03372356121858152, -0.27470120017488414, 0.10459549000594191, -0.0747896887254543, -0.17544738865063453, 0.15357747496678853, 0.10795690072700381, 0.08860653531379424, -0.17253719676787463, 0.15526103825630763, -0.05702731639702016, 0.19529994481126778, 0.14185980365325052, 0.0067709369781928565, 0.1479045985123286, 0.10183758872489516, 0.12195446507002299, 0.19384192417447382, -0.035813162416721195, -0.09756522991049749, -0.430777322071103, -0.14853938711950412, -0.0911654362705751, 0.11335942020209935, -0.15055044704618362, -0.1843750542925241, 0.3874166196642014, 0.10153982012595336, 0.21931883348868444, 0.010469901359801252, 0.2413334369014662, 0.21145752829929385, 0.11399935999025519, 0.11519382481660265, 0.14974182342008974, 0.13721199734405112, -0.03479169900170886, -0.31654999720362514, -0.08708663153139731, 0.12567839798374245] |
712.1362 | Crossover from Kondo assisted suppression to co-tunneling enhancement of
tunneling magnetoresistance via ferromagnetic nanodots in MgO tunnel barriers | Recently, it has been shown that magnetic tunnel junctions with thin MgO
tunnel barriers exhibit extraordinarily high tunneling magnetoresistance (TMR)
values at room temperature1, 2. However, the physics of spin dependent
tunneling through MgO barriers is only beginning to be unravelled. Using planar
magnetic tunnel junctions in which ultra-thin layers of magnetic metals are
deposited in the middle of a MgO tunnel barrier here we demonstrate that the
TMR is strongly modified when these layers are discontinuous and composed of
small pancake shaped nanodots. At low temperatures, in the Coulomb blockade
regime, for layers less than ~1 nm thick, the conductance of the junction is
increased at low bias consistent with Kondo assisted tunneling. In the same
regime we observe a suppression of the TMR. For slightly thicker layers, and
correspondingly larger nanodots, the TMR is enhanced at low bias, consistent
with co-tunneling.
| cond-mat.mtrl-sci cond-mat.mes-hall | recently it has been shown that magnetic tunnel junctions with thin mgo tunnel barriers exhibit extraordinarily high tunneling magnetoresistance tmr values at room temperature1 2 however the physics of spin dependent tunneling through mgo barriers is only beginning to be unravelled using planar magnetic tunnel junctions in which ultrathin layers of magnetic metals are deposited in the middle of a mgo tunnel barrier here we demonstrate that the tmr is strongly modified when these layers are discontinuous and composed of small pancake shaped nanodots at low temperatures in the coulomb blockade regime for layers less than 1 nm thick the conductance of the junction is increased at low bias consistent with kondo assisted tunneling in the same regime we observe a suppression of the tmr for slightly thicker layers and correspondingly larger nanodots the tmr is enhanced at low bias consistent with cotunneling | [['recently', 'it', 'has', 'been', 'shown', 'that', 'magnetic', 'tunnel', 'junctions', 'with', 'thin', 'mgo', 'tunnel', 'barriers', 'exhibit', 'extraordinarily', 'high', 'tunneling', 'magnetoresistance', 'tmr', 'values', 'at', 'room', 'temperature1', '2', 'however', 'the', 'physics', 'of', 'spin', 'dependent', 'tunneling', 'through', 'mgo', 'barriers', 'is', 'only', 'beginning', 'to', 'be', 'unravelled', 'using', 'planar', 'magnetic', 'tunnel', 'junctions', 'in', 'which', 'ultrathin', 'layers', 'of', 'magnetic', 'metals', 'are', 'deposited', 'in', 'the', 'middle', 'of', 'a', 'mgo', 'tunnel', 'barrier', 'here', 'we', 'demonstrate', 'that', 'the', 'tmr', 'is', 'strongly', 'modified', 'when', 'these', 'layers', 'are', 'discontinuous', 'and', 'composed', 'of', 'small', 'pancake', 'shaped', 'nanodots', 'at', 'low', 'temperatures', 'in', 'the', 'coulomb', 'blockade', 'regime', 'for', 'layers', 'less', 'than', '1', 'nm', 'thick', 'the', 'conductance', 'of', 'the', 'junction', 'is', 'increased', 'at', 'low', 'bias', 'consistent', 'with', 'kondo', 'assisted', 'tunneling', 'in', 'the', 'same', 'regime', 'we', 'observe', 'a', 'suppression', 'of', 'the', 'tmr', 'for', 'slightly', 'thicker', 'layers', 'and', 'correspondingly', 'larger', 'nanodots', 'the', 'tmr', 'is', 'enhanced', 'at', 'low', 'bias', 'consistent', 'with', 'cotunneling']] | [-0.1977624005558282, 0.20355753120608056, 0.014998740581730445, 0.017032011057139484, 0.012315300864353125, -0.2584970787206626, 0.05337228604154401, 0.43177087077629994, -0.24759552487126596, -0.3799997160302384, -0.049814729033024994, -0.2969650187223524, -0.08763374759444406, 0.2283334750389042, 0.020865784420703467, -0.049513418657987675, 0.002298054099734221, -0.10932265115141465, -0.05256228592617997, -0.2352742337966924, 0.26461863143278375, 0.06172059384383053, 0.33580140543815035, 0.12625767252492634, 0.06852073515797932, -0.0745712171953458, 0.2227305242355418, 0.07558870721458608, -0.14434973252792696, -0.017547292780567457, 0.24891255628618808, -0.2561188101185603, 0.1717787780505898, -0.5421969804105226, -0.1583819447632332, -0.04315933187238195, 0.1959005849895074, 0.1571232591604267, -0.05935631231144331, -0.22135905600380856, 0.13576253041400332, -0.12527669130961275, -0.041054234097522874, -0.01455877907899814, 0.006158669720162878, -0.0005973887579333219, -0.26140695530147834, 0.08568466777776505, 0.03920052428176249, 0.0980102197117322, 0.003034924726829037, -0.15466645793049838, -0.1046776036549542, -0.0008898219852822253, 0.013163934149160669, 0.005752452144438361, 0.23435065163612054, -0.13771687614221867, -0.08026973871266717, 0.20516517440547477, -0.06211379377736785, -0.03895689876606831, 0.1755729055722485, -0.2474658958731102, -0.02131876867863682, 0.18893818101207432, 0.060114286787860044, 0.15587113361961982, -0.12876159327735204, 0.10224199003903879, 0.05466023272137854, 0.1533729754717226, 0.14883326050024348, 0.04866371368272947, 0.26683708826296515, 0.2706926036316745, 0.056942468398361354, 0.12775739088208396, -0.1910757434544629, -0.027442639413569773, -0.17980108931139632, -0.13803698419808194, -0.20252303911985217, 0.08149131557454804, -0.09884866598608474, -0.22868729894716208, 0.34080922111508216, 0.15467878089488282, 0.20361395420871312, -0.048028194816893785, 0.2983773924814133, 0.16615712369134375, 0.15386222075130399, 0.013234230523629414, 0.2577214703758384, 0.18100482647443986, 0.16597839308281062, -0.25156257915558045, 0.1500708015368587, -0.09086621721385868] |
712.1363 | Undecidable Problems About Timed Automata | We solve some decision problems for timed automata which were recently raised
by S. Tripakis in [ Folk Theorems on the Determinization and Minimization of
Timed Automata, in the Proceedings of the International Workshop FORMATS'2003,
LNCS, Volume 2791, p. 182-188, 2004 ] and by E. Asarin in [ Challenges in Timed
Languages, From Applied Theory to Basic Theory, Bulletin of the EATCS, Volume
83, p. 106-120, 2004 ]. In particular, we show that one cannot decide whether a
given timed automaton is determinizable or whether the complement of a timed
regular language is timed regular. We show that the problem of the minimization
of the number of clocks of a timed automaton is undecidable. It is also
undecidable whether the shuffle of two timed regular languages is timed
regular. We show that in the case of timed B\"uchi automata accepting infinite
timed words some of these problems are Pi^1_1-hard, hence highly undecidable
(located beyond the arithmetical hierarchy).
| cs.LO cs.CC math.LO | we solve some decision problems for timed automata which were recently raised by s tripakis in folk theorems on the determinization and minimization of timed automata in the proceedings of the international workshop formats2003 lncs volume 2791 p 182188 2004 and by e asarin in challenges in timed languages from applied theory to basic theory bulletin of the eatcs volume 83 p 106120 2004 in particular we show that one cannot decide whether a given timed automaton is determinizable or whether the complement of a timed regular language is timed regular we show that the problem of the minimization of the number of clocks of a timed automaton is undecidable it is also undecidable whether the shuffle of two timed regular languages is timed regular we show that in the case of timed buchi automata accepting infinite timed words some of these problems are pi1_1hard hence highly undecidable located beyond the arithmetical hierarchy | [['we', 'solve', 'some', 'decision', 'problems', 'for', 'timed', 'automata', 'which', 'were', 'recently', 'raised', 'by', 's', 'tripakis', 'in', 'folk', 'theorems', 'on', 'the', 'determinization', 'and', 'minimization', 'of', 'timed', 'automata', 'in', 'the', 'proceedings', 'of', 'the', 'international', 'workshop', 'formats2003', 'lncs', 'volume', '2791', 'p', '182188', '2004', 'and', 'by', 'e', 'asarin', 'in', 'challenges', 'in', 'timed', 'languages', 'from', 'applied', 'theory', 'to', 'basic', 'theory', 'bulletin', 'of', 'the', 'eatcs', 'volume', '83', 'p', '106120', '2004', 'in', 'particular', 'we', 'show', 'that', 'one', 'can', 'not', 'decide', 'whether', 'a', 'given', 'timed', 'automaton', 'is', 'determinizable', 'or', 'whether', 'the', 'complement', 'of', 'a', 'timed', 'regular', 'language', 'is', 'timed', 'regular', 'we', 'show', 'that', 'the', 'problem', 'of', 'the', 'minimization', 'of', 'the', 'number', 'of', 'clocks', 'of', 'a', 'timed', 'automaton', 'is', 'undecidable', 'it', 'is', 'also', 'undecidable', 'whether', 'the', 'shuffle', 'of', 'two', 'timed', 'regular', 'languages', 'is', 'timed', 'regular', 'we', 'show', 'that', 'in', 'the', 'case', 'of', 'timed', 'buchi', 'automata', 'accepting', 'infinite', 'timed', 'words', 'some', 'of', 'these', 'problems', 'are', 'pi1_1hard', 'hence', 'highly', 'undecidable', 'located', 'beyond', 'the', 'arithmetical', 'hierarchy']] | [-0.13217604639760264, 0.14159867876903123, -0.015731907393408302, 0.17188538227858485, -0.09015239286392727, -0.19647525398735732, 0.12011596069033664, 0.3435080254687959, -0.322259467420162, -0.28025530843414215, 0.11447878404607958, -0.2563228353064182, -0.10930106728087685, 0.19200141223705366, -0.15855239783632474, 0.08551838201464422, 0.06952387194544539, 0.0929677063511722, 0.015327301243595128, -0.2632660126913614, 0.27029230939411875, -0.014305944576384438, 0.20477137195833978, -0.009480183022159258, 0.027441062161311407, 0.025726504080097547, -0.004837324142756078, 0.0901309433799462, -0.06895957301575308, 0.06907328905697112, 0.37738054360719336, 0.28009015112652774, 0.29809829363936946, -0.45255494857794487, -0.11944137808035483, 0.1716460636535647, 0.05773623132353161, 0.06021934490468847, 0.05032271784870892, -0.3032111147615509, 0.07801366776080283, -0.20446894746648786, -0.047775421522857756, 0.015231215766937341, 0.11983851908749882, 0.0572455040923001, -0.17493762613833574, -0.03803711176100624, 0.18396386099923026, 0.09912630324345707, -0.06168794527418611, -0.06360671651743402, 0.011123678065686418, 0.05369245497971885, -0.04767707863317853, -0.033043227467885954, 0.03607239020713324, -0.021010663679132124, -0.2845113405945317, 0.3877894753627729, -0.017869912300433888, -0.15264793866682771, 0.1901568625584845, -0.11106830342882157, -0.23761701391347304, 0.08527083151142469, 0.11739560188538076, 0.11422199397343961, -0.13706665931132017, 0.17468061356300538, -0.17275477631541825, 0.2640707248465577, 0.1812097510547946, -0.051480030837850084, 0.1693231710760179, 0.2208185590687989, 0.04563344668947791, 0.17442234189190195, 0.06332751102401757, -0.0723517300286049, -0.2537482925409439, -0.09674690781323701, -0.061715319672999466, -0.005071292782804754, 0.023449602305784432, -0.19940247067919115, 0.3286931307598848, 0.1765790210017972, 0.037591314037024176, 0.18979003451117657, 0.25128168205186824, 0.11789298841132839, -0.013013289245579943, 0.08892812643625192, 0.10942172241161247, 0.1289791377533177, 0.06740656153817705, -0.1989011504099823, 0.08316268333102633, 0.18504093506454722] |
712.1364 | The Auxiliary Field Diffusion Monte Carlo Method for Nuclear Physics and
Nuclear Astrophysics | In this thesis, I discuss the use of the Auxiliary Field Diffusion Monte
Carlo method to compute the ground state of nuclear Hamiltonians, and I show
several applications to interesting problems both in nuclear physics and in
nuclear astrophysics.
In particular, the AFDMC algorithm is applied to the study of several nuclear
systems, finite, and infinite matter. Results about the ground state of nuclei
($^4$He, $^8$He, $^{16}$O and $^{40}$Ca), neutron drops (with 8 and 20
neutrons) and neutron rich-nuclei (isotopes of oxygen and calcium) are
discussed, and the equation of state of nuclear and neutron matter are
calculated and compared with other many-body calculations. The $^1S_0$
superfluid phase of neutron matter in the low-density regime was also studied.
| nucl-th astro-ph cond-mat.other | in this thesis i discuss the use of the auxiliary field diffusion monte carlo method to compute the ground state of nuclear hamiltonians and i show several applications to interesting problems both in nuclear physics and in nuclear astrophysics in particular the afdmc algorithm is applied to the study of several nuclear systems finite and infinite matter results about the ground state of nuclei 4he 8he 16o and 40ca neutron drops with 8 and 20 neutrons and neutron richnuclei isotopes of oxygen and calcium are discussed and the equation of state of nuclear and neutron matter are calculated and compared with other manybody calculations the 1s_0 superfluid phase of neutron matter in the lowdensity regime was also studied | [['in', 'this', 'thesis', 'i', 'discuss', 'the', 'use', 'of', 'the', 'auxiliary', 'field', 'diffusion', 'monte', 'carlo', 'method', 'to', 'compute', 'the', 'ground', 'state', 'of', 'nuclear', 'hamiltonians', 'and', 'i', 'show', 'several', 'applications', 'to', 'interesting', 'problems', 'both', 'in', 'nuclear', 'physics', 'and', 'in', 'nuclear', 'astrophysics', 'in', 'particular', 'the', 'afdmc', 'algorithm', 'is', 'applied', 'to', 'the', 'study', 'of', 'several', 'nuclear', 'systems', 'finite', 'and', 'infinite', 'matter', 'results', 'about', 'the', 'ground', 'state', 'of', 'nuclei', '4he', '8he', '16o', 'and', '40ca', 'neutron', 'drops', 'with', '8', 'and', '20', 'neutrons', 'and', 'neutron', 'richnuclei', 'isotopes', 'of', 'oxygen', 'and', 'calcium', 'are', 'discussed', 'and', 'the', 'equation', 'of', 'state', 'of', 'nuclear', 'and', 'neutron', 'matter', 'are', 'calculated', 'and', 'compared', 'with', 'other', 'manybody', 'calculations', 'the', '1s_0', 'superfluid', 'phase', 'of', 'neutron', 'matter', 'in', 'the', 'lowdensity', 'regime', 'was', 'also', 'studied']] | [-0.012731229436671378, 0.22615676469161597, -0.07969225685979821, 0.12473516829280007, 0.03238465694280771, -0.09302001451261532, 0.026236749469087675, 0.3460688630803528, -0.213852213934446, -0.31170728415433674, 0.038437996564122535, -0.3322103701882128, -0.017148556012628425, 0.18278409274589494, 0.08223122626574886, 0.06555708249807994, 0.05734222057936156, 0.07523287620005381, -0.14836507947303545, -0.20872732664609694, 0.33774242773811275, 0.04388622275720804, 0.21028259770674074, 0.09358047900928392, 0.05886180678175555, -0.007181619087027179, 0.012000383602248298, -0.052986687049269676, -0.1467000336961375, 0.0791900695548353, 0.3167703691392373, 0.06464277912313357, 0.17102327344652551, -0.4849934584469113, -0.2003211147414568, 0.11295902954303047, 0.13033560464461136, 0.19946812777023795, -0.1040415509373077, -0.3059276473891531, 0.02563390228897333, -0.2792293620972425, -0.13603525304705158, -0.1219681063388339, 0.014578813687961899, 0.10759999710095362, -0.1884766866803233, 0.06092137562356786, 0.00016224672261657368, 0.02232541599350486, -0.16020347417976993, -0.23992219566900888, 0.04548889100870006, 0.029562184045839515, 0.05768889756017548, 0.04470090584582689, 0.18379759934977588, -0.17153022742957577, -0.06982158336083955, 0.39585126716739094, -0.004974490170900384, -0.0695856168675117, 0.16793293357054648, -0.1851923844227806, -0.12927292308045757, 0.15076314329973653, 0.12769718525899398, 0.15329719072259548, -0.1378605248183649, 0.08586889607175134, -0.0009501758071347179, 0.1906393360899777, 0.012159791711367603, 0.04653837067636255, 0.14340237329881161, 0.20581811024313873, -0.030565183764944475, 0.10407376412200765, -0.17592947772290143, -0.1427017828513287, -0.2644504401663669, -0.13729413848322553, -0.15023528169999775, -0.007126073844523894, -0.03253599769574128, -0.1107177465806345, 0.33759698308367503, 0.0804483000921388, 0.10313040891097078, -0.10502178865309773, 0.25005923186500484, 0.044259868721421965, -0.04614669590010347, 0.07959873255732286, 0.29357098426637995, 0.2925542789376062, 0.08705266751746973, -0.350544606299641, 0.005772070939310341, 0.02526033325638208] |
712.1365 | Population stratification using a statistical model on hypergraphs | Population stratification is a problem encountered in several areas of
biology and public health. We tackle this problem by mapping a population and
its elements attributes into a hypergraph, a natural extension of the concept
of graph or network to encode associations among any number of elements. On
this hypergraph, we construct a statistical model reflecting our intuition
about how the elements attributes can emerge from a postulated population
structure. Finally, we introduce the concept of stratification
representativeness as a mean to identify the simplest stratification already
containing most of the information about the population structure. We
demonstrate the power of this framework stratifying an animal and a human
population based on phenotypic and genotypic properties, respectively.
| q-bio.PE cs.AI physics.data-an | population stratification is a problem encountered in several areas of biology and public health we tackle this problem by mapping a population and its elements attributes into a hypergraph a natural extension of the concept of graph or network to encode associations among any number of elements on this hypergraph we construct a statistical model reflecting our intuition about how the elements attributes can emerge from a postulated population structure finally we introduce the concept of stratification representativeness as a mean to identify the simplest stratification already containing most of the information about the population structure we demonstrate the power of this framework stratifying an animal and a human population based on phenotypic and genotypic properties respectively | [['population', 'stratification', 'is', 'a', 'problem', 'encountered', 'in', 'several', 'areas', 'of', 'biology', 'and', 'public', 'health', 'we', 'tackle', 'this', 'problem', 'by', 'mapping', 'a', 'population', 'and', 'its', 'elements', 'attributes', 'into', 'a', 'hypergraph', 'a', 'natural', 'extension', 'of', 'the', 'concept', 'of', 'graph', 'or', 'network', 'to', 'encode', 'associations', 'among', 'any', 'number', 'of', 'elements', 'on', 'this', 'hypergraph', 'we', 'construct', 'a', 'statistical', 'model', 'reflecting', 'our', 'intuition', 'about', 'how', 'the', 'elements', 'attributes', 'can', 'emerge', 'from', 'a', 'postulated', 'population', 'structure', 'finally', 'we', 'introduce', 'the', 'concept', 'of', 'stratification', 'representativeness', 'as', 'a', 'mean', 'to', 'identify', 'the', 'simplest', 'stratification', 'already', 'containing', 'most', 'of', 'the', 'information', 'about', 'the', 'population', 'structure', 'we', 'demonstrate', 'the', 'power', 'of', 'this', 'framework', 'stratifying', 'an', 'animal', 'and', 'a', 'human', 'population', 'based', 'on', 'phenotypic', 'and', 'genotypic', 'properties', 'respectively']] | [-0.07517636167761098, 0.0615453120992911, -0.10512422814837888, 0.11221796695867346, -0.10057296957542053, -0.06837094635264869, 0.09224349669873333, 0.3460593373220191, -0.3181988243620572, -0.33013790424785805, 0.07983759226591891, -0.2703458940108808, -0.20774455034396905, 0.13697804942424607, -0.1323591223818401, -0.03578911402061757, 0.06071212791945212, 0.06293281613506822, 0.024053164678187963, -0.20842438123440649, 0.3462414317644941, -0.0038855977467874177, 0.2541329538565065, -0.0005579202238900157, 0.12351875230431175, -0.02277106314133375, -0.03278109770761723, 0.06539650670447761, -0.11416141106946091, 0.2102750940905072, 0.2628260182901325, 0.24764156646688984, 0.350553370347549, -0.4054204233336008, -0.26057209049025154, 0.13807326445801774, 0.09954428815274921, 0.13942623079722571, -0.032918192675082475, -0.26893821466937023, 0.06742365829423706, -0.17444163795090958, -0.11462894377187213, -0.0334573646223284, 0.004655957110544555, -0.011098481584380135, -0.2441790313469883, 0.019352373874021903, 0.05908560391483653, 0.1313060655250636, -0.05648588612337366, -0.12345862137671146, -0.03988111187289986, 0.17634712339729133, 0.015942190890200436, -0.03184022110564491, 0.14584865627718818, -0.164778171487264, -0.12627963088532415, 0.3776013847344961, -0.01031946318082782, -0.1941686869224804, 0.18829169381274563, -0.11027648282519932, -0.16968808594581664, 0.04399315744208602, 0.216985958827357, 0.10728622613172246, -0.16682113909747642, 0.04513042201845246, -0.09215805873784244, 0.20852442416083863, 0.027704625326789852, 0.03362740893076118, 0.19959317593493014, 0.2171346389521391, 0.061831299358835586, 0.13700585391245082, -0.0830359633685623, -0.07673469023444714, -0.2332447613032264, -0.14743629560614815, -0.14395791650391543, 0.05134494596511189, -0.10947430053373608, -0.20348286939164004, 0.44774095277883047, 0.16871162270331103, 0.21048398355308634, 0.052110028047210134, 0.2608383946164519, 0.01216897819366338, 0.06329541603644562, 0.05748112278325786, 0.11241707029457912, 0.14464447136498734, 0.0347503894685298, -0.20497089275556943, 0.12466629090894045, 0.04607258055112364] |
712.1366 | An expansion for polynomials orthogonal over an analytic Jordan curve | We consider polynomials that are orthogonal over an analytic Jordan curve L
with respect to a positive analytic weight, and show that each such polynomial
of sufficiently large degree can be expanded in a series of certain integral
transforms that converges uniformly in the whole complex plane. This expansion
yields, in particular and simultaneously, Szego's classical strong asymptotic
formula and a new integral representation for the polynomials inside L. We
further exploit such a representation to derive finer asymptotic results for
weights having finitely many singularities (all of algebraic type) on a thin
neighborhood of the orthogonality curve. Our results are a generalization of
those previously obtained in [7] for the case of L being the unit circle.
| math.CA math.CV | we consider polynomials that are orthogonal over an analytic jordan curve l with respect to a positive analytic weight and show that each such polynomial of sufficiently large degree can be expanded in a series of certain integral transforms that converges uniformly in the whole complex plane this expansion yields in particular and simultaneously szegos classical strong asymptotic formula and a new integral representation for the polynomials inside l we further exploit such a representation to derive finer asymptotic results for weights having finitely many singularities all of algebraic type on a thin neighborhood of the orthogonality curve our results are a generalization of those previously obtained in 7 for the case of l being the unit circle | [['we', 'consider', 'polynomials', 'that', 'are', 'orthogonal', 'over', 'an', 'analytic', 'jordan', 'curve', 'l', 'with', 'respect', 'to', 'a', 'positive', 'analytic', 'weight', 'and', 'show', 'that', 'each', 'such', 'polynomial', 'of', 'sufficiently', 'large', 'degree', 'can', 'be', 'expanded', 'in', 'a', 'series', 'of', 'certain', 'integral', 'transforms', 'that', 'converges', 'uniformly', 'in', 'the', 'whole', 'complex', 'plane', 'this', 'expansion', 'yields', 'in', 'particular', 'and', 'simultaneously', 'szegos', 'classical', 'strong', 'asymptotic', 'formula', 'and', 'a', 'new', 'integral', 'representation', 'for', 'the', 'polynomials', 'inside', 'l', 'we', 'further', 'exploit', 'such', 'a', 'representation', 'to', 'derive', 'finer', 'asymptotic', 'results', 'for', 'weights', 'having', 'finitely', 'many', 'singularities', 'all', 'of', 'algebraic', 'type', 'on', 'a', 'thin', 'neighborhood', 'of', 'the', 'orthogonality', 'curve', 'our', 'results', 'are', 'a', 'generalization', 'of', 'those', 'previously', 'obtained', 'in', '7', 'for', 'the', 'case', 'of', 'l', 'being', 'the', 'unit', 'circle']] | [-0.16318261943031417, 0.05061709755053448, -0.11280962013663187, 0.041856146002212005, -0.09988805682051106, -0.11739805232145492, 0.012881548617477133, 0.3543592689211591, -0.3024164458117211, -0.1941993391971001, 0.11458877346308713, -0.2509164137734195, -0.15818517590415174, 0.23816193013759804, -0.07397079538806516, 0.03013651039830204, 0.06085762637864672, 0.09337674285348316, -0.10479094235076553, -0.27385931931657054, 0.3136553655820504, -0.023039115308705022, 0.20366853244318547, -0.008848708612307653, 0.09817569154108503, 0.024837190987763262, -0.02387171058167735, 0.009734589878816978, -0.13525884516306086, 0.14280503829822766, 0.2532373945528673, 0.08476627749485612, 0.23974771371458548, -0.36941447604637023, -0.1735937097524214, 0.1559335784828764, 0.187957977734001, 0.03330577457702513, -0.00935587854128552, -0.21301501366443995, 0.13206221262916482, -0.14530437470374774, -0.19984334940880033, -0.0833715848319856, 0.036115313611798365, 0.09355041206916952, -0.29633982844060774, 0.01590975778477298, 0.10361672014834643, 0.09062085885190015, -0.0604721737465174, -0.12599175999047613, 0.007344641243265468, 0.08604649376218855, -0.01798040508706975, 0.05757570443813042, 0.023803807597733654, -0.08352378114339722, -0.06627183462793039, 0.32491362096457665, -0.06934318899855775, -0.25550663889527825, 0.15825627803392076, -0.20534977353951436, -0.1519709468653457, 0.14477644358777395, 0.12468720664333363, 0.12749157108019216, -0.08342756694814159, 0.1587564661705243, -0.1208621305453007, 0.08150804801390238, 0.12500315345034507, 0.029447415920558495, 0.15497983151640332, 0.04820446273947324, 0.07106576509077213, 0.1610662125660722, -0.024709018391272906, -0.08451162210776139, -0.3499967582776385, -0.18367908356742838, -0.1823416537885412, 0.08632677022004658, -0.18429120459114853, -0.19653990923947953, 0.39828000763446975, 0.04384360869042181, 0.2475429436002495, 0.1297296814983553, 0.2326890584791742, 0.1419668339510543, 0.05922606706587692, 0.07226579208558394, 0.13882337875814194, 0.13726055656828112, 0.036258033001366256, -0.14712519637975938, 0.006300436671462178, 0.132798976726609] |
712.1367 | Planck, Photon Statistics, and Bose-Einstein Condensation | The interplay between optical and statistical physics is a rich and exciting
field of study. Black body radiation was the first application of photon
statistics, although it was initially treated as a problem of the cavity
oscillators in equilibrium with the photon field. However Planck surprisingly
resisted the idea that anything physical would be quantized for a long time
after he had solved the problem. We trace this development.
Then, after the invention of the laser itself, it proved difficult to develop
a theory of laser action that could account for photon statistics, i.e.
fluctuations near threshold. This was accomplished in 1965. After Bose-Einstein
condensation was successfully achieved, the same problem arose in this case.
The fluctuation problem had not been treated adequately even for the ideal Bose
gas. However this problem has now been solved using the same techniques as in
the theory of laser action.
| physics.optics physics.hist-ph | the interplay between optical and statistical physics is a rich and exciting field of study black body radiation was the first application of photon statistics although it was initially treated as a problem of the cavity oscillators in equilibrium with the photon field however planck surprisingly resisted the idea that anything physical would be quantized for a long time after he had solved the problem we trace this development then after the invention of the laser itself it proved difficult to develop a theory of laser action that could account for photon statistics ie fluctuations near threshold this was accomplished in 1965 after boseeinstein condensation was successfully achieved the same problem arose in this case the fluctuation problem had not been treated adequately even for the ideal bose gas however this problem has now been solved using the same techniques as in the theory of laser action | [['the', 'interplay', 'between', 'optical', 'and', 'statistical', 'physics', 'is', 'a', 'rich', 'and', 'exciting', 'field', 'of', 'study', 'black', 'body', 'radiation', 'was', 'the', 'first', 'application', 'of', 'photon', 'statistics', 'although', 'it', 'was', 'initially', 'treated', 'as', 'a', 'problem', 'of', 'the', 'cavity', 'oscillators', 'in', 'equilibrium', 'with', 'the', 'photon', 'field', 'however', 'planck', 'surprisingly', 'resisted', 'the', 'idea', 'that', 'anything', 'physical', 'would', 'be', 'quantized', 'for', 'a', 'long', 'time', 'after', 'he', 'had', 'solved', 'the', 'problem', 'we', 'trace', 'this', 'development', 'then', 'after', 'the', 'invention', 'of', 'the', 'laser', 'itself', 'it', 'proved', 'difficult', 'to', 'develop', 'a', 'theory', 'of', 'laser', 'action', 'that', 'could', 'account', 'for', 'photon', 'statistics', 'ie', 'fluctuations', 'near', 'threshold', 'this', 'was', 'accomplished', 'in', '1965', 'after', 'boseeinstein', 'condensation', 'was', 'successfully', 'achieved', 'the', 'same', 'problem', 'arose', 'in', 'this', 'case', 'the', 'fluctuation', 'problem', 'had', 'not', 'been', 'treated', 'adequately', 'even', 'for', 'the', 'ideal', 'bose', 'gas', 'however', 'this', 'problem', 'has', 'now', 'been', 'solved', 'using', 'the', 'same', 'techniques', 'as', 'in', 'the', 'theory', 'of', 'laser', 'action']] | [-0.07696707071902763, 0.15850102688585008, -0.14236317768528248, 0.0924586601829359, -0.03502833015177728, -0.15123022237133715, 0.025666415791952234, 0.35758117362096603, -0.25224347747735626, -0.31934104783169065, 0.09549409281589141, -0.2408883575552783, -0.11145769495542357, 0.18931824930937213, -0.05380787478275217, 0.07925106121581935, 0.03382167817793508, 0.04416840810163998, -0.020135263037284974, -0.2588813289299886, 0.27872355886716016, 0.09514585571350898, 0.2755413084373284, 0.05849869058904599, 0.13638541427421935, 0.01803721704038785, 0.006511131323696602, 0.0347382515386938, -0.08347946694835491, 0.03993906155402842, 0.25522948040779, 0.10940168268636477, 0.3251346129429888, -0.4505008016063572, -0.26620186700289244, 0.10763714899670104, 0.17432557552780475, 0.1712191937123837, -0.0520602867108624, -0.2504453077186913, 0.020772381292871473, -0.17719590675947414, -0.14985488539523617, 0.006539973072378206, 0.05296483411149559, -0.05028759174327664, -0.20918797893167734, 0.046776329818954625, 0.0665879902829017, 0.0638369956594553, -0.052108907115449306, -0.03779907535356121, 0.04437693741907473, 0.11877021104173392, 0.04631084853903625, 0.05676623063041594, 0.1304679117925769, -0.15105305636479033, -0.0836553484420007, 0.39668942514496547, -0.060019315993349975, -0.12469994817816075, 0.13979559463962, -0.15187554316734578, -0.11943560556768357, 0.14789165308711683, 0.0878364134981411, 0.10893783261080836, -0.1708986863595288, 0.10639555111993104, -0.0514914593691019, 0.17405806398209261, 0.11589074013184528, -0.0015501198010379766, 0.252575115327641, 0.1603926172160043, -0.00027659783760706585, 0.17284725264243808, -0.0474430915668328, -0.09038044082723101, -0.23572502226955225, -0.12358755663949617, -0.20982085214611015, 0.07905053316235786, 0.029343590916246873, -0.1199953286357376, 0.34870473132785534, 0.13860425167419269, 0.133953009256903, -0.03522872599475339, 0.28987288882411055, 0.15858627542644282, 0.056313246051419755, 0.029308942862513926, 0.32783548358818326, 0.1555527597982563, 0.14476265360404844, -0.20257001518680506, 0.04934501842766696, 0.052603606278786345] |
712.1368 | Asteroseismology of Procyon with SOPHIE | This paper reports a 9-night asteroseismic observation program conducted in
January 2007 with the new spectrometer Sophie at the OHP 193-cm telescope, on
the F5 IV-V target Procyon A. This first asteroseismic program with Sophie was
intended to test the performance of the instrument with a bright but demanding
asteroseismic target and was part of a multisite network. The Sophie spectra
have been reduced with the data reduction software provided by OHP. The Procyon
asteroseismic data were then analyzed with statistical tools. The asymptotic
analysis has been conducted considering possible curvature in the echelle
diagram analysis. These observations have proven the efficient performance of
Sophie used as an asteroseismometer, and succeed in a clear detection of the
large spacing. An \'echelle diagram based on the 54-$\mu$Hz spacing shows clear
ridges. Identification of the peaks exhibits large spacings varying from about
52 $\mu$Hz to 56 $\mu$Hz.
| astro-ph | this paper reports a 9night asteroseismic observation program conducted in january 2007 with the new spectrometer sophie at the ohp 193cm telescope on the f5 ivv target procyon a this first asteroseismic program with sophie was intended to test the performance of the instrument with a bright but demanding asteroseismic target and was part of a multisite network the sophie spectra have been reduced with the data reduction software provided by ohp the procyon asteroseismic data were then analyzed with statistical tools the asymptotic analysis has been conducted considering possible curvature in the echelle diagram analysis these observations have proven the efficient performance of sophie used as an asteroseismometer and succeed in a clear detection of the large spacing an echelle diagram based on the 54muhz spacing shows clear ridges identification of the peaks exhibits large spacings varying from about 52 muhz to 56 muhz | [['this', 'paper', 'reports', 'a', '9night', 'asteroseismic', 'observation', 'program', 'conducted', 'in', 'january', '2007', 'with', 'the', 'new', 'spectrometer', 'sophie', 'at', 'the', 'ohp', '193cm', 'telescope', 'on', 'the', 'f5', 'ivv', 'target', 'procyon', 'a', 'this', 'first', 'asteroseismic', 'program', 'with', 'sophie', 'was', 'intended', 'to', 'test', 'the', 'performance', 'of', 'the', 'instrument', 'with', 'a', 'bright', 'but', 'demanding', 'asteroseismic', 'target', 'and', 'was', 'part', 'of', 'a', 'multisite', 'network', 'the', 'sophie', 'spectra', 'have', 'been', 'reduced', 'with', 'the', 'data', 'reduction', 'software', 'provided', 'by', 'ohp', 'the', 'procyon', 'asteroseismic', 'data', 'were', 'then', 'analyzed', 'with', 'statistical', 'tools', 'the', 'asymptotic', 'analysis', 'has', 'been', 'conducted', 'considering', 'possible', 'curvature', 'in', 'the', 'echelle', 'diagram', 'analysis', 'these', 'observations', 'have', 'proven', 'the', 'efficient', 'performance', 'of', 'sophie', 'used', 'as', 'an', 'asteroseismometer', 'and', 'succeed', 'in', 'a', 'clear', 'detection', 'of', 'the', 'large', 'spacing', 'an', 'echelle', 'diagram', 'based', 'on', 'the', '54muhz', 'spacing', 'shows', 'clear', 'ridges', 'identification', 'of', 'the', 'peaks', 'exhibits', 'large', 'spacings', 'varying', 'from', 'about', '52', 'muhz', 'to', '56', 'muhz']] | [-0.10198768480819434, 0.06371817994115933, -0.18609499151188827, 0.03568225093415453, -0.10977713361015203, -0.1449822203525093, 0.054944339687903215, 0.36626348146040677, -0.11928431914002686, -0.42284933390410645, 0.140602337844132, -0.31111046026172245, -0.08296054665287825, 0.22585366842087726, -0.09316499727043573, 0.10260131228780768, 0.19603224438090455, -0.009016342803796517, -0.02537008415305869, -0.2622466099802667, 0.22686582020218288, 0.14489501186082482, 0.24967381941535, -0.05362514105074528, 0.03629849720779072, -0.06903696896731329, -0.11367771011108244, -0.056883515692545544, -0.16003763870808335, 0.05964148268193781, 0.2643601809772597, 0.13066206580523113, 0.24979763637414912, -0.32276495506095004, -0.14124269411295756, 0.0194877682411125, 0.1461355325595384, 0.021690519356076986, -0.014681065091076242, -0.34246583700075117, 0.05487636004535245, -0.14628103217372382, -0.146252042791006, -0.04323021379548689, 0.02989252891824384, 0.016842227468503192, -0.24183150054231076, 0.002107561664314757, -0.044417555693169714, 0.260868949074508, -0.0885431268432794, -0.1930335897732605, -0.04753117842852256, 0.1620080897332051, 0.01639735086125807, 0.0430117394762035, 0.0010949450505661294, -0.029222293884795105, -0.05046841835367008, 0.3210612073619391, -0.12334703738820857, -0.01591860276030403, 0.17955405927676393, -0.19285001081388287, -0.19926517615816228, 0.14456526047064805, 0.15886897865427055, 0.1155145853023294, -0.16201756689959848, 0.0408658732743737, -0.0017105373094829035, 0.2597106242893447, 0.09915545441269298, -0.0011512060603782745, 0.22506243650207924, 0.19569301723935445, -0.014698675463081037, 0.11049178992332497, -0.27830194634005007, 0.023602323476667846, -0.21475389557988972, -0.11198220045418925, -0.1540958106822767, -0.0047531098104409975, -0.07041235379591866, -0.11986052258674737, 0.3860682329215424, 0.1031938131019788, 0.1451418480170156, 0.024566534355702534, 0.3088343573379999, 0.08260527603954575, 0.09795618812638847, 0.04881785960349871, 0.31902077863596273, 0.13649830707139007, 0.18222185354810996, -0.25175131843458126, 0.014549409068832305, 0.0092000570754901] |
712.1369 | Accurate self-energy algorithm for quasi-1D systems | We present a complete prescription for the numerical calculation of surface
Green's functions and self-energies of semi-infinite quasi-onedimensional
systems. Our work extends the results of Sanvito et al. [1] generating a robust
algorithm to be used in conjunction with ab initio electronic structure
methods. We perform a detailed error analysis of the scheme and find that the
highest accuracy is found if no inversion of the usually ill conditioned
hopping matrix is involved. Even in this case however a transformation of the
hopping matrix that decreases its condition number is needed in order to limit
the size of the imaginary part of the wave-vectors. This is done in two
different ways, either by applying a singular value decomposition and setting a
lowest bound for the smallest singular value, or by adding a random matrix of
small amplitude. By using the first scheme the size of the Hamiltonian matrix
is reduced, making the computation considerably faster for large systems. For
most energies the method gives high accuracy, however in the presence of
surface states the error diverges due to the singularity in the self-energy. A
surface state is found at a particular energy if the set of solution
eigenvectors of the infinite system is linearly dependent. This is then used as
a criterion to detect surface states, and the error is limited by adding a
small imaginary part to the energy.
[1] S. Sanvito, C. J. Lambert, J. H. Jefferson, and A. M. Bratkovsky, Phys.
Rev. B 59, 11936 (1999).
| cond-mat.mtrl-sci cond-mat.mes-hall | we present a complete prescription for the numerical calculation of surface greens functions and selfenergies of semiinfinite quasionedimensional systems our work extends the results of sanvito et al 1 generating a robust algorithm to be used in conjunction with ab initio electronic structure methods we perform a detailed error analysis of the scheme and find that the highest accuracy is found if no inversion of the usually ill conditioned hopping matrix is involved even in this case however a transformation of the hopping matrix that decreases its condition number is needed in order to limit the size of the imaginary part of the wavevectors this is done in two different ways either by applying a singular value decomposition and setting a lowest bound for the smallest singular value or by adding a random matrix of small amplitude by using the first scheme the size of the hamiltonian matrix is reduced making the computation considerably faster for large systems for most energies the method gives high accuracy however in the presence of surface states the error diverges due to the singularity in the selfenergy a surface state is found at a particular energy if the set of solution eigenvectors of the infinite system is linearly dependent this is then used as a criterion to detect surface states and the error is limited by adding a small imaginary part to the energy 1 s sanvito c j lambert j h jefferson and a m bratkovsky phys rev b 59 11936 1999 | [['we', 'present', 'a', 'complete', 'prescription', 'for', 'the', 'numerical', 'calculation', 'of', 'surface', 'greens', 'functions', 'and', 'selfenergies', 'of', 'semiinfinite', 'quasionedimensional', 'systems', 'our', 'work', 'extends', 'the', 'results', 'of', 'sanvito', 'et', 'al', '1', 'generating', 'a', 'robust', 'algorithm', 'to', 'be', 'used', 'in', 'conjunction', 'with', 'ab', 'initio', 'electronic', 'structure', 'methods', 'we', 'perform', 'a', 'detailed', 'error', 'analysis', 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712.137 | Vertical distribution of Galactic disk stars IV - AMR and AVR from clump
giants | We present the parameters of 891 stars, mostly clump giants, including
atmospheric parameters, distances, absolute magnitudes, spatial velocities,
galactic orbits and ages. One part of this sample consists of local giants,
within 100 pc, with atmospheric parameters either estimated from our
spectroscopic observations at high resolution and high signal-to-noise ratio,
or retrieved from the literature. The other part of the sample includes 523
distant stars, which we have estimated atmospheric parameters from high
resolution but low signal-to-noise Echelle spectra. This new sample is
kinematically unbiased, with well-defined boundaries in magnitude and colours.
We revisit the basic properties of the Galactic thin disk as traced by clump
giants. We find the metallicity distribution to be different from that of
dwarfs, with less metal-rich stars. We find evidence for a vertical metallicity
gradient of -0.31 dex/kpc and for a transition at 4-5 Gyr in both the
metallicity and velocities. The age - metallicity relation (AMR), which
exhibits a very low dispersion, increases smoothly from 10 to 4 Gyr, with a
steeper increase for younger stars. The age-velocity relation (AVR) is
characterized by the saturation of the V and W dispersions at 5 Gyr, and
continuous heating in U.
| astro-ph | we present the parameters of 891 stars mostly clump giants including atmospheric parameters distances absolute magnitudes spatial velocities galactic orbits and ages one part of this sample consists of local giants within 100 pc with atmospheric parameters either estimated from our spectroscopic observations at high resolution and high signaltonoise ratio or retrieved from the literature the other part of the sample includes 523 distant stars which we have estimated atmospheric parameters from high resolution but low signaltonoise echelle spectra this new sample is kinematically unbiased with welldefined boundaries in magnitude and colours we revisit the basic properties of the galactic thin disk as traced by clump giants we find the metallicity distribution to be different from that of dwarfs with less metalrich stars we find evidence for a vertical metallicity gradient of 031 dexkpc and for a transition at 45 gyr in both the metallicity and velocities the age metallicity relation amr which exhibits a very low dispersion increases smoothly from 10 to 4 gyr with a steeper increase for younger stars the agevelocity relation avr is characterized by the saturation of the v and w dispersions at 5 gyr and continuous heating in u | [['we', 'present', 'the', 'parameters', 'of', '891', 'stars', 'mostly', 'clump', 'giants', 'including', 'atmospheric', 'parameters', 'distances', 'absolute', 'magnitudes', 'spatial', 'velocities', 'galactic', 'orbits', 'and', 'ages', 'one', 'part', 'of', 'this', 'sample', 'consists', 'of', 'local', 'giants', 'within', '100', 'pc', 'with', 'atmospheric', 'parameters', 'either', 'estimated', 'from', 'our', 'spectroscopic', 'observations', 'at', 'high', 'resolution', 'and', 'high', 'signaltonoise', 'ratio', 'or', 'retrieved', 'from', 'the', 'literature', 'the', 'other', 'part', 'of', 'the', 'sample', 'includes', '523', 'distant', 'stars', 'which', 'we', 'have', 'estimated', 'atmospheric', 'parameters', 'from', 'high', 'resolution', 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712.1371 | Recent Results from PHOBOS | In this manuscript we give a short summary of recent physics results from
PHOBOS. Particular emphasis is put on elliptic flow, fluctuations in the
initial geometry and the recent measurements of elliptic flow fluctuations.
| nucl-ex | in this manuscript we give a short summary of recent physics results from phobos particular emphasis is put on elliptic flow fluctuations in the initial geometry and the recent measurements of elliptic flow fluctuations | [['in', 'this', 'manuscript', 'we', 'give', 'a', 'short', 'summary', 'of', 'recent', 'physics', 'results', 'from', 'phobos', 'particular', 'emphasis', 'is', 'put', 'on', 'elliptic', 'flow', 'fluctuations', 'in', 'the', 'initial', 'geometry', 'and', 'the', 'recent', 'measurements', 'of', 'elliptic', 'flow', 'fluctuations']] | [-0.17102013317429843, 0.13365401192020407, -0.21895717604852774, 0.0432784704162794, -0.06529505397467052, -0.07066489469862598, -0.09620521496981382, 0.282189978615326, -0.2413828577298452, -0.2787808336536674, 0.14700262476553155, -0.3416769504547119, -0.08103799995254068, 0.24717117084518953, -0.13337393310468862, 0.0935474392848418, 0.15442598019452655, 0.028426116825464892, -0.09122275261838428, -0.2567565430448774, 0.34098348152988095, 0.07390903462381924, 0.27954971560222264, 0.14306477972251527, 0.05243499355171533, 0.036222949624061584, -0.11586926937760676, 0.0361153715673615, -0.25826130552655635, 0.17752661230042577, 0.23667472735156908, 0.010283262455178535, 0.1935164168038789, -0.48577550497344313, -0.21881762540022678, 0.03699438854613725, 0.06627120174851049, 0.14563314989209175, -0.1341639894012855, -0.23731854777125752, -0.03308622692437733, -0.15712489552028916, -0.1183049167122911, -0.005381614627207027, 0.06362731825998601, 0.0967448986518909, -0.21058695649673395, 0.09905539631076596, 0.08555869150030262, 0.14497373661245494, -0.01632835195564172, -0.12263023163027623, 0.056563374805538094, 0.055520294124589246, 0.09238604030756772, 0.07414654549211264, 0.09549133267308421, -0.13940292141427668, -0.07963348212925826, 0.3208345477195347, -0.06364484142292948, -0.16595670230248394, 0.12082726475508775, -0.2208530459936489, -0.1784290240611881, 0.06749014496145879, 0.2949134461746058, 0.1290751838070505, -0.09790538941674373, 0.08024598252514432, -0.08078233552548815, 0.10920944119639256, 0.0012214938726495294, -0.005136741434826571, 0.21022105660727797, 0.19213716142728707, 0.008293943698791897, 0.11383762805695262, -0.032675290987005126, -0.13501409045420587, -0.3895494942279423, -0.05685261939652264, -0.11385677694616948, 0.11937842414002209, -0.024853183818991324, -0.08403702912961736, 0.4341788898934336, 0.17250601465211196, 0.26293922922409635, -0.050006201709894574, 0.26856837421655655, 0.05850306383046486, -0.057677360689815355, 0.04559195900390692, 0.2703400524880956, 0.16586093103293986, 0.22256571680362172, -0.17332893920213202, 0.05007563838872182, 0.10741396664696581] |
712.1372 | Dynkin's Isomorphism with Sign Structure | The Dynkin isomorphism associates a Gaussian field to a Markov chain. These
Gaussian fields can be used as priors for prediction and time series analysis.
Dynkin's construction gives Gaussian fields with all non-negative covariances.
We extend Dynkin's construction (by introducing a sign structure on the Markov
chain) to allow general covariance sign patterns.
| math.ST stat.TH | the dynkin isomorphism associates a gaussian field to a markov chain these gaussian fields can be used as priors for prediction and time series analysis dynkins construction gives gaussian fields with all nonnegative covariances we extend dynkins construction by introducing a sign structure on the markov chain to allow general covariance sign patterns | [['the', 'dynkin', 'isomorphism', 'associates', 'a', 'gaussian', 'field', 'to', 'a', 'markov', 'chain', 'these', 'gaussian', 'fields', 'can', 'be', 'used', 'as', 'priors', 'for', 'prediction', 'and', 'time', 'series', 'analysis', 'dynkins', 'construction', 'gives', 'gaussian', 'fields', 'with', 'all', 'nonnegative', 'covariances', 'we', 'extend', 'dynkins', 'construction', 'by', 'introducing', 'a', 'sign', 'structure', 'on', 'the', 'markov', 'chain', 'to', 'allow', 'general', 'covariance', 'sign', 'patterns']] | [-0.09895548041699068, 0.11480421432346669, -0.10725120211213406, 0.10830330035104505, -0.18161610270551634, -0.17673387700902685, 0.009512652063144828, 0.4347402181406066, -0.33447831064322087, -0.24813503216631394, 0.13779308287567407, -0.1749921107207829, -0.13608641950589306, 0.13092950063775172, -0.06105516634811208, 0.05075505941684516, 0.0443101213291674, 0.03517745727374447, -0.07115402204459007, -0.22821279653383172, 0.3320132172402908, 0.046104902401566505, 0.2855326377628547, -0.07018162953263184, 0.11309620253038856, 0.11758939681117828, -0.06851017359152155, -0.02534750123279837, -0.13118653946538578, 0.0939878622939775, 0.2832774154420169, 0.10985889671510964, 0.24518700678973407, -0.34792498862019405, -0.22475925856599374, 0.2026725731403479, 0.12680586868510493, 0.13466921351182293, 0.013693447442250853, -0.3368347226729933, 0.0016696160518617001, -0.15920400784684802, -0.1055356928779972, -0.14423889411121327, -0.06878553312227903, 0.020276957068522023, -0.3634276321687173, 0.04803047221997436, 0.09059748315814671, 0.06740697637586943, -0.013389095716740726, -0.1450007293913689, 0.03653503442183137, 0.09342050960920048, 0.04234090816440447, 0.03264558146584709, 0.12110847611648012, -0.04569581017460463, -0.20728831591945635, 0.2574223986791693, -0.13633547598970527, -0.2829723729277557, 0.13949438588658594, -0.09735446606920857, -0.17736559635344543, 0.12957157126083127, 0.1251995031423164, 0.0647818127752475, -0.15717745490728016, 0.15058272363473046, -0.035884699221911294, 0.11978724665658654, 0.07405656611300865, -0.07644073807805742, 0.18004104649683214, 0.059171238193675035, 0.09262910330632948, 0.17747634287071326, -0.03689569720277949, -0.16514760717081856, -0.3043473485224652, -0.12065535575647857, -0.16762276750523597, 0.11164068183993464, -0.1749322004789236, -0.24174579952509617, 0.41510022899030513, 0.135597703498515, 0.19371027908867822, 0.16013581636098195, 0.1650833936654172, 0.1298381835200279, 0.04357629975760883, 0.03429363038882895, 0.048022331722643016, 0.28169155416500596, 0.03259041018889479, -0.10120393601158317, 0.0978387980172762, 0.1213647576997865] |
712.1373 | Behavior of bounded solutions of quasilinear elliptic equations on
Riemannian manifolds | This paper deals with bounded solutions of quasilinear elliptic equations on
Riemannian manifolds satisfying special condition.
| math.AP | this paper deals with bounded solutions of quasilinear elliptic equations on riemannian manifolds satisfying special condition | [['this', 'paper', 'deals', 'with', 'bounded', 'solutions', 'of', 'quasilinear', 'elliptic', 'equations', 'on', 'riemannian', 'manifolds', 'satisfying', 'special', 'condition']] | [-0.3094844613224268, 0.006485125981271267, 0.03506707004271448, 0.031053210397658404, -0.24951519211754203, -0.2647643671371043, -0.22384149708523182, 0.17804270307533443, -0.24531342985574156, -0.20097175566479564, 0.15408951044082642, -0.38508091938274447, -0.09433142410125583, 0.19345349885406904, -0.2809353416087106, 0.24087993323337287, 0.18210457015084103, 0.05553713999688625, -0.19022478407714516, -0.22849315637722611, 0.6623325236141682, -0.1328316170256585, 0.1831858188379556, 0.10303713200846687, 0.23835247062379494, -0.06594607938313857, 0.009080525254830718, 0.04667453104048036, -0.2957767571788281, 0.11316047864966094, 0.3223055691923946, -0.04074249349650927, 0.26777836796827614, -0.4732970651239157, -0.17837290046736598, 0.19590995484031737, 0.1428529964759946, -0.04153763467729732, -0.04803660527250031, -0.2922988189384341, 0.08915546874050051, 0.004690554807893932, -0.29779795138165355, 0.001522480437415652, -0.10958165279589593, 0.0961251207627356, -0.28528813377488405, 0.11594547389540821, 0.19344975240528584, 0.13655096595175564, -0.25414677668595687, -0.055030533694662154, 0.030263032531365752, -0.11805853041005321, 0.053342226790846325, 0.008256280096247792, -0.08536082319915295, -0.0419388656882802, -0.04872285877354443, 0.3580740401521325, -0.07051353540737182, -0.4412679700180888, -0.006019640015438199, -0.094497695856262, -0.22269523522118106, 0.061579444918606896, 0.2716438994684722, 0.34258049447089434, -0.11424277490004897, 0.2701643069158308, -0.10106684127822518, 0.06694274744950235, 0.15594394452637061, -0.06080482114339247, -0.05161814810708165, 0.09647352644242346, 0.25586086098337546, 0.1352971827145666, 0.2154410590446787, -0.1952368775382638, -0.4268434336408973, -0.1143020007875748, -0.0404399826657027, 0.24216982000507414, -0.13824680482503027, -0.25866006914293393, 0.3916538745397702, -0.06326278578490019, 0.09226997350924648, 0.24632144416682422, 0.19497932156082243, 0.18160889035789296, -0.11378394754137844, 0.09292028821073472, 0.11360511824022979, 0.2803937263088301, 0.20556879942887463, -0.12488853483228013, -0.022187790571479127, 0.22321578188257263] |
712.1374 | Detection of atmospheric haze on an extrasolar planet: The 0.55 - 1.05
micron transmission spectrum of HD189733b with the Hubble Space Telescope | The nearby transiting planet HD 189733b was observed during three transits
with the ACS camera of the Hubble Space Telescope in spectroscopic mode. The
resulting time series of 675 spectra covers the 550-1050 nm range, with a
resolution element of ~8 nm, at extremely high accuracy (signal-to-noise ratio
up to 10,000 in 50 nm intervals in each individual spectrum). Using these data,
we disentangle the effects of limb darkening, measurement systematics, and
spots on the surface of the host star, to calculate the wavelength dependence
of the effective transit radius to an accuracy of ~50 km. This constitutes the
``transmission spectrum'' of the planetary atmosphere. It indicates at each
wavelength at what height the planetary atmosphere becomes opaque to the
grazing stellar light during the transit. In this wavelength range, strong
features due to sodium, potassium and water are predicted by atmosphere models
for a planet like HD 189733b, but they can be hidden by broad absorption from
clouds or hazes higher up in the atmosphere.
We observed an almost featureless transmission spectrum between 550 and 1050
nm, with no indication of the expected sodium or potassium atomic absorption
features. Comparison of our results with the transit radius observed in the
near and mid-infrared (2-8 microns), and the slope of the spectrum, suggest the
presence of a haze of sub-micron particles in the upper atmosphere of the
planet.
| astro-ph | the nearby transiting planet hd 189733b was observed during three transits with the acs camera of the hubble space telescope in spectroscopic mode the resulting time series of 675 spectra covers the 5501050 nm range with a resolution element of 8 nm at extremely high accuracy signaltonoise ratio up to 10000 in 50 nm intervals in each individual spectrum using these data we disentangle the effects of limb darkening measurement systematics and spots on the surface of the host star to calculate the wavelength dependence of the effective transit radius to an accuracy of 50 km this constitutes the transmission spectrum of the planetary atmosphere it indicates at each wavelength at what height the planetary atmosphere becomes opaque to the grazing stellar light during the transit in this wavelength range strong features due to sodium potassium and water are predicted by atmosphere models for a planet like hd 189733b but they can be hidden by broad absorption from clouds or hazes higher up in the atmosphere we observed an almost featureless transmission spectrum between 550 and 1050 nm with no indication of the expected sodium or potassium atomic absorption features comparison of our results with the transit radius observed in the near and midinfrared 28 microns and the slope of the spectrum suggest the presence of a haze of submicron particles in the upper atmosphere of the planet | [['the', 'nearby', 'transiting', 'planet', 'hd', '189733b', 'was', 'observed', 'during', 'three', 'transits', 'with', 'the', 'acs', 'camera', 'of', 'the', 'hubble', 'space', 'telescope', 'in', 'spectroscopic', 'mode', 'the', 'resulting', 'time', 'series', 'of', '675', 'spectra', 'covers', 'the', '5501050', 'nm', 'range', 'with', 'a', 'resolution', 'element', 'of', '8', 'nm', 'at', 'extremely', 'high', 'accuracy', 'signaltonoise', 'ratio', 'up', 'to', '10000', 'in', '50', 'nm', 'intervals', 'in', 'each', 'individual', 'spectrum', 'using', 'these', 'data', 'we', 'disentangle', 'the', 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'spectrum', 'between', '550', 'and', '1050', 'nm', 'with', 'no', 'indication', 'of', 'the', 'expected', 'sodium', 'or', 'potassium', 'atomic', 'absorption', 'features', 'comparison', 'of', 'our', 'results', 'with', 'the', 'transit', 'radius', 'observed', 'in', 'the', 'near', 'and', 'midinfrared', '28', 'microns', 'and', 'the', 'slope', 'of', 'the', 'spectrum', 'suggest', 'the', 'presence', 'of', 'a', 'haze', 'of', 'submicron', 'particles', 'in', 'the', 'upper', 'atmosphere', 'of', 'the', 'planet']] | [-0.07661985849760604, 0.1521363357146884, -0.04640539529085126, 0.017710406977338677, -0.0344020432632597, -0.10464671296621406, 0.0685704189849123, 0.40652370984596303, -0.2016989881796393, -0.39932989951280573, 0.07751902702340388, -0.3241987178627287, -0.03422202155945847, 0.18599169001307356, -0.04809293286292301, 0.025813006308229254, 0.08989839508538729, -0.0490984135955605, 0.013445625696556914, -0.23682270218856175, 0.2332662735216418, 0.12690817609958613, 0.14376500178341822, 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712.1375 | Commutation relations and Markov chains | It is shown that the combinatorics of commutation relations is well suited
for analyzing the convergence rate of certain Markov chains. Examples studied
include random walk on irreducible representations, a local random walk on
partitions whose stationary distribution is the Ewens distribution, and some
birth-death chains.
| math.PR math.CO | it is shown that the combinatorics of commutation relations is well suited for analyzing the convergence rate of certain markov chains examples studied include random walk on irreducible representations a local random walk on partitions whose stationary distribution is the ewens distribution and some birthdeath chains | [['it', 'is', 'shown', 'that', 'the', 'combinatorics', 'of', 'commutation', 'relations', 'is', 'well', 'suited', 'for', 'analyzing', 'the', 'convergence', 'rate', 'of', 'certain', 'markov', 'chains', 'examples', 'studied', 'include', 'random', 'walk', 'on', 'irreducible', 'representations', 'a', 'local', 'random', 'walk', 'on', 'partitions', 'whose', 'stationary', 'distribution', 'is', 'the', 'ewens', 'distribution', 'and', 'some', 'birthdeath', 'chains']] | [-0.12970956958799987, 0.2016130515333751, -0.09420302336144706, 0.16201832060165622, -0.05418818865133369, -0.16015484438115812, 0.034311913644753236, 0.41555049561935925, -0.3089414092347674, -0.16161903536514097, 0.14183414302280414, -0.2798132615406876, -0.14503326096936411, 0.17383765575030577, -0.05342010963384224, 0.10554467506058839, 0.04694267844214388, 0.08673377930308165, -0.01337818806970735, -0.2850961079416068, 0.2838503796728733, 0.05356769611978013, 0.34254537563285103, -0.07563285938585582, 0.1514866674197433, 0.08816014151291354, -0.041846633785019585, -0.0589975967152935, -0.1409916000539733, 0.0653553208457711, 0.1905661089669751, 0.09408798891767535, 0.22739162226713708, -0.33033355774924805, -0.19161003040473745, 0.18565134509750034, 0.18575516796630362, 0.09374369569527714, -0.016260533846671813, -0.32457978071887855, 0.03325557686469477, -0.13503752786504186, -0.10224982555550725, -0.07398036535343398, 0.0366467733098113, 0.17116568792287423, -0.2742528627910044, 0.03103328741196057, 0.1413296020372123, 0.07765878850351209, 0.037128211869655744, -0.1351820389315, -0.016419313488649608, 0.11307182757224402, 0.007820973360060674, -0.043651510407115617, 0.13560747390653452, -0.07804629309912739, -0.15178640672694083, 0.3530616526208494, 0.02123174047016579, -0.30708167722711904, 0.180297311152453, -0.1736206249333918, -0.2263084432191175, 0.10334825224202612, 0.10779235815710347, 0.1360870770978458, -0.16877426071416424, 0.15191033383218935, -0.09883849128432896, 0.02585724023241631, 0.06578796332621056, -0.003954766874970949, 0.15667581689827467, 0.11990784845598366, 0.08994216604522713, 0.19480218060071702, 0.004151818798045101, -0.23703200835734606, -0.28077048443905683, -0.10921034449711442, -0.28068047983106226, 0.09851670512200697, -0.20917862866285167, -0.24785531593838445, 0.3767235020135084, 0.10793358281902644, 0.20719414887792917, 0.2188752902995633, 0.15605809369488902, 0.1581133525899571, -0.018777674742285973, 0.06085799264964526, 0.01343904228427994, 0.2909022218385792, 0.006479582810045585, -0.13338748953791094, 0.17142462222229526, 0.1539232018403709] |
712.1376 | Field-angle-dependent specific heat measurements and gap determination
of a heavy fermion superconductor URu2Si2 | To identify the superconducting gap structure in URu2Si2 we perform
field-angle-dependent specific heat measurements for the two principal
orientations in addition to field rotations, and theoretical analysis based on
microscopic calculations. The Sommerfeld coefficient \gamma(H)'s in the mixed
state exhibit distinctively different field-dependence. This comes from point
nodes and substantial Pauli paramagnetic effect of URu2Si2. These two features
combined give rise to a consistent picture of superconducting properties,
including a possible first order transition of Hc2 at low temperatures.
| cond-mat.str-el cond-mat.supr-con | to identify the superconducting gap structure in uru2si2 we perform fieldangledependent specific heat measurements for the two principal orientations in addition to field rotations and theoretical analysis based on microscopic calculations the sommerfeld coefficient gammahs in the mixed state exhibit distinctively different fielddependence this comes from point nodes and substantial pauli paramagnetic effect of uru2si2 these two features combined give rise to a consistent picture of superconducting properties including a possible first order transition of hc2 at low temperatures | [['to', 'identify', 'the', 'superconducting', 'gap', 'structure', 'in', 'uru2si2', 'we', 'perform', 'fieldangledependent', 'specific', 'heat', 'measurements', 'for', 'the', 'two', 'principal', 'orientations', 'in', 'addition', 'to', 'field', 'rotations', 'and', 'theoretical', 'analysis', 'based', 'on', 'microscopic', 'calculations', 'the', 'sommerfeld', 'coefficient', 'gammahs', 'in', 'the', 'mixed', 'state', 'exhibit', 'distinctively', 'different', 'fielddependence', 'this', 'comes', 'from', 'point', 'nodes', 'and', 'substantial', 'pauli', 'paramagnetic', 'effect', 'of', 'uru2si2', 'these', 'two', 'features', 'combined', 'give', 'rise', 'to', 'a', 'consistent', 'picture', 'of', 'superconducting', 'properties', 'including', 'a', 'possible', 'first', 'order', 'transition', 'of', 'hc2', 'at', 'low', 'temperatures']] | [-0.1691877816636593, 0.1700717801398311, -0.06882122940479372, 0.019173624132795688, -0.08993602205270854, -0.1258938332171872, 0.12801581289237127, 0.3576815860011639, -0.23799188568806037, -0.31102164189975995, -0.0032060106258051326, -0.34000193036328524, -0.08331194330150118, 0.1697693276607121, 0.05624492232425091, 0.0132249295233916, -0.027341966323244076, 0.05263940954971939, -0.17119542238353275, -0.18485012440195975, 0.33179001421787035, 0.017612588472473316, 0.34838161412148905, 0.07040858964095466, 0.04324327148079204, -0.048082821106968016, 0.06499501847279951, 0.036174047499513015, -0.15393878450282875, 0.030744212691504985, 0.2784695985177771, -0.07732596654946414, 0.16514659088212424, -0.43632138543165266, -0.200518775310439, 0.01997567437744389, 0.08246238946986313, 0.13254544369948024, -0.04888745116290803, -0.2569860579589239, 0.03300165406499918, -0.12113768423501498, -0.09979236289524497, -0.14787890671346432, -0.06195141286559355, -0.06409737945367129, -0.22654894717076482, 0.13592735083940893, 0.06370988001939483, 0.11554660576681879, -0.0845973265524476, -0.1900402933765107, -0.0012417919097993618, 0.07230649992393759, 0.05852697174160335, 0.015105149875848722, 0.12261961800052235, -0.10878582749790393, -0.11999027863240395, 0.3308571938138742, -0.05382545055517067, -0.046099193376274064, 0.18848720581258815, -0.1845113223251433, -0.1594045524043628, 0.18375786351493728, 0.16602914187555703, 0.06739263321893911, -0.13602789727902304, 0.010228533741424028, 0.006616833416792827, 0.15732301339001145, 0.022946059691886872, 0.09106440495293683, 0.2138496934173581, 0.15135968760706675, 0.004040999857422251, 0.15160053686047784, -0.1310466586221129, -0.09314782152815053, -0.2917340557353619, -0.1520916305300302, -0.1912257139905332, 0.06159144408779983, -0.0986698768694903, -0.188424274225373, 0.41436367912982136, 0.19605215852322708, 0.24685354933190423, -0.06310022587720783, 0.22926258414577788, 0.0884729741508356, 0.07011141425046401, 0.029697368351312783, 0.2541325075271277, 0.21581526421822417, 0.10601818049326539, -0.29165629140781957, 0.07227440842857155, -0.0025970394370886376] |
712.1377 | On classification of modular tensor categories | We classify all unitary modular tensor categories (UMTCs) of rank $\leq 4$.
There are a total of 70 UMTCs of rank $\leq 4$ (Note that some authors would
have counted as 35 MTCs.) In our convention there are two trivial unitary MTCs
distinguished by the modular $S$ matrix $S=(\pm1)$. Each such UMTC can be
obtained from 10 non-trivial prime UMTCs by direct product, and some symmetry
operations.
UMTCs encode topological properties of anyonic quantum systems and can be
used to build fault-tolerant quantum computers. We conjecture that there are
only finitely many equivalence classes of MTCs for any given rank, and a UMTC
is universal for anyonic quantum computation if and only if its global quantum
dimension $D^2$ is \emph{not} an integer.
Discovery of non-abelain anyons in Nature will be a landmark in condensed
matter physics. The non-abelian anyons in UMTCs of rank $\leq 4$ are the
simplest, and, therefore, are most likely to be found. G. Moore and N. Read
proposed that non-abelian statistics could occur in fractional quantum Hall
(FQH) liquids. The Read-Rezayi conjecture predicts the existence of anyons
related to $SU(2)_k$ in FQH liquids at filling fractions $\nu=2+\frac{k}{k+2}$
for $k=1,2,3$. For $\nu={5/2}$ and $SU(2)_2$, there is a numerical proof and
experimental evidence for this conjecture. The Ising anyons might exist in
chiral superconductors (strontium ruthenate). There are theoretical designs for
the toric code MTC using Josephson junction array, for the $Fib\times Fib$ MTC
using optical lattice, and for the $SU(2)_k$ using cold trapped bosonic atoms.
| math.QA cond-mat.mes-hall math.GT | we classify all unitary modular tensor categories umtcs of rank leq 4 there are a total of 70 umtcs of rank leq 4 note that some authors would have counted as 35 mtcs in our convention there are two trivial unitary mtcs distinguished by the modular s matrix spm1 each such umtc can be obtained from 10 nontrivial prime umtcs by direct product and some symmetry operations umtcs encode topological properties of anyonic quantum systems and can be used to build faulttolerant quantum computers we conjecture that there are only finitely many equivalence classes of mtcs for any given rank and a umtc is universal for anyonic quantum computation if and only if its global quantum dimension d2 is emphnot an integer discovery of nonabelain anyons in nature will be a landmark in condensed matter physics the nonabelian anyons in umtcs of rank leq 4 are the simplest and therefore are most likely to be found g moore and n read proposed that nonabelian statistics could occur in fractional quantum hall fqh liquids the readrezayi conjecture predicts the existence of anyons related to su2_k in fqh liquids at filling fractions nu2frackk2 for k123 for nu52 and su2_2 there is a numerical proof and experimental evidence for this conjecture the ising anyons might exist in chiral superconductors strontium ruthenate there are theoretical designs for the toric code mtc using josephson junction array for the fibtimes fib mtc using optical lattice and for the su2_k using cold trapped bosonic atoms | [['we', 'classify', 'all', 'unitary', 'modular', 'tensor', 'categories', 'umtcs', 'of', 'rank', 'leq', '4', 'there', 'are', 'a', 'total', 'of', '70', 'umtcs', 'of', 'rank', 'leq', '4', 'note', 'that', 'some', 'authors', 'would', 'have', 'counted', 'as', '35', 'mtcs', 'in', 'our', 'convention', 'there', 'are', 'two', 'trivial', 'unitary', 'mtcs', 'distinguished', 'by', 'the', 'modular', 's', 'matrix', 'spm1', 'each', 'such', 'umtc', 'can', 'be', 'obtained', 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712.1378 | Lyapunov Exponents of Free Operators | Lyapunov exponents of a dynamical system are a useful tool to gauge the
stability and complexity of the system. This paper offers a definition of
Lyapunov exponents for a sequence of free linear operators. The definition is
based on the concept of the extended Fuglede-Kadison determinant. We establish
the existence of Lyapunov exponents, derive formulas for their calculation, and
show that Lyapunov exponents of free variables are additive with respect to
operator product. We illustrate these results using an example of free
operators whose singular values are distributed by the Marchenko-Pastur law,
and relate this example to C. M. Newman's "triangle" law for the distribution
of Lyapunov exponents of large random matrices with independent Gaussian
entries. As an interesting by-product of our results, we derive a relation
between the extended Fuglede-Kadison determinant and Voiculescu's S-transform.
| math.PR math.DS | lyapunov exponents of a dynamical system are a useful tool to gauge the stability and complexity of the system this paper offers a definition of lyapunov exponents for a sequence of free linear operators the definition is based on the concept of the extended fugledekadison determinant we establish the existence of lyapunov exponents derive formulas for their calculation and show that lyapunov exponents of free variables are additive with respect to operator product we illustrate these results using an example of free operators whose singular values are distributed by the marchenkopastur law and relate this example to c m newmans triangle law for the distribution of lyapunov exponents of large random matrices with independent gaussian entries as an interesting byproduct of our results we derive a relation between the extended fugledekadison determinant and voiculescus stransform | [['lyapunov', 'exponents', 'of', 'a', 'dynamical', 'system', 'are', 'a', 'useful', 'tool', 'to', 'gauge', 'the', 'stability', 'and', 'complexity', 'of', 'the', 'system', 'this', 'paper', 'offers', 'a', 'definition', 'of', 'lyapunov', 'exponents', 'for', 'a', 'sequence', 'of', 'free', 'linear', 'operators', 'the', 'definition', 'is', 'based', 'on', 'the', 'concept', 'of', 'the', 'extended', 'fugledekadison', 'determinant', 'we', 'establish', 'the', 'existence', 'of', 'lyapunov', 'exponents', 'derive', 'formulas', 'for', 'their', 'calculation', 'and', 'show', 'that', 'lyapunov', 'exponents', 'of', 'free', 'variables', 'are', 'additive', 'with', 'respect', 'to', 'operator', 'product', 'we', 'illustrate', 'these', 'results', 'using', 'an', 'example', 'of', 'free', 'operators', 'whose', 'singular', 'values', 'are', 'distributed', 'by', 'the', 'marchenkopastur', 'law', 'and', 'relate', 'this', 'example', 'to', 'c', 'm', 'newmans', 'triangle', 'law', 'for', 'the', 'distribution', 'of', 'lyapunov', 'exponents', 'of', 'large', 'random', 'matrices', 'with', 'independent', 'gaussian', 'entries', 'as', 'an', 'interesting', 'byproduct', 'of', 'our', 'results', 'we', 'derive', 'a', 'relation', 'between', 'the', 'extended', 'fugledekadison', 'determinant', 'and', 'voiculescus', 'stransform']] | [-0.1662229835021275, 0.10725241019067147, -0.13489353827511272, 0.07715792336449441, -0.03643644453474769, -0.1431398922862071, 0.054624896809562215, 0.28518168032255575, -0.2815366676801609, -0.2174810827489839, 0.12722308095199641, -0.27417879572690085, -0.21675373342026164, 0.2270567506293042, -0.05210227691342071, 0.12621807554678527, -0.007636841790129741, 0.058503197433633934, -0.099751565731303, -0.19526302575099247, 0.38157809319543756, 0.015693364475198365, 0.21758641528172626, 0.04116003674075559, 0.08984101140457723, 0.015477151830715161, -0.06535832882272424, -0.006726551607803062, -0.17961933118732068, 0.15156650408343583, 0.2166704866397022, 0.09864039254343543, 0.24825268388829297, -0.3100374329559229, -0.13676316449763598, 0.1342698243205194, 0.1306497731246054, 0.02466553497231669, -0.005784563614158995, -0.27308117464460707, 0.11502378669187978, -0.19277515006682802, -0.2180113555389215, -0.11341340260631923, 0.03060055388206685, 0.07529316149927952, -0.32995228924685055, 0.08931851477396709, 0.07064565562457709, 0.09459879246919796, -0.08331491201771078, -0.132607487766762, 0.011082580628701382, 0.13796176664893411, 0.05173318223786299, -0.04357329047957642, 0.12375341722379542, -0.03871694417946316, -0.13852610459930642, 0.3067040032482947, -0.05323080954021188, -0.2443127595992, 0.12924193911150925, -0.13445777043838192, -0.1388924791874295, 0.07202519546090452, 0.12177011657471734, 0.10769287690194755, -0.13959468561742042, 0.14209029929608935, -0.07998079142222801, 0.1471757664517672, 0.033395564166346085, 0.05367144596659475, 0.11660475852312865, 0.05038444395694468, 0.113272472795237, 0.18492956689593418, 0.015362249137143846, -0.13932017955791068, -0.34624891374950056, -0.20742135302301634, -0.2116106265845398, 0.09920866146545719, -0.19055110115721752, -0.22538581326327942, 0.39836014100798856, 0.1103988852524371, 0.18802581582977265, 0.18794509865067624, 0.20786214059011804, 0.19669591201193354, 0.01936352843746405, 0.049192218748093756, 0.14518492741303313, 0.22439036482979577, 0.07647829588709606, -0.19312257827895574, 0.031092685478291027, 0.1810866383490739] |
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