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708.1549 | Improved Measurement of Time-Dependent CP Asymmetries and the CP-Odd
Fraction in the Decay B0->D*+D*- | We present an updated measurement of the CP-odd fraction and the
time-dependent CP asymmetries in the decay B0->D*+D*-using (383 +/- 4) \times
10^{6} BB pairs collected with the Babar detector. We determine the CP-odd
fraction to be $0.143\pm0.034\stat\pm0.008\syst$. The time-dependent CP
asymmetry parameters are determined to be $C_+ = -0.05\pm 0.14\stat \pm
0.02\syst$ and $S_+ = -0.72 \pm 0.19\stat \pm 0.05\syst$. The non-zero value of
the measured $S_+$ indicates the evidence of CP violation at the $3.7 \sigma$
confidence level.
| hep-ex | we present an updated measurement of the cpodd fraction and the timedependent cp asymmetries in the decay b0ddusing 383 4 times 106 bb pairs collected with the babar detector we determine the cpodd fraction to be 0143pm0034statpm0008syst the timedependent cp asymmetry parameters are determined to be c_ 005pm 014stat pm 002syst and s_ 072 pm 019stat pm 005syst the nonzero value of the measured s_ indicates the evidence of cp violation at the 37 sigma confidence level | [['we', 'present', 'an', 'updated', 'measurement', 'of', 'the', 'cpodd', 'fraction', 'and', 'the', 'timedependent', 'cp', 'asymmetries', 'in', 'the', 'decay', 'b0ddusing', '383', '4', 'times', '106', 'bb', 'pairs', 'collected', 'with', 'the', 'babar', 'detector', 'we', 'determine', 'the', 'cpodd', 'fraction', 'to', 'be', '0143pm0034statpm0008syst', 'the', 'timedependent', 'cp', 'asymmetry', 'parameters', 'are', 'determined', 'to', 'be', 'c_', '005pm', '014stat', 'pm', '002syst', 'and', 's_', '072', 'pm', '019stat', 'pm', '005syst', 'the', 'nonzero', 'value', 'of', 'the', 'measured', 's_', 'indicates', 'the', 'evidence', 'of', 'cp', 'violation', 'at', 'the', '37', 'sigma', 'confidence', 'level']] | [-0.1609280311213051, 0.2081672114375554, -0.014038807183906838, 0.05523256121857746, -0.010294145325551162, -0.13918942781291097, 0.13564522363988027, 0.26832133181695195, -0.19292528744208048, -0.33762552012764924, 0.03200094259148967, -0.410168177316066, 0.10146556417080196, 0.1261261693969671, 0.07273013982921839, 0.045319565598588636, 0.006665971570623082, -0.007830189673129368, -0.130325603229623, -0.1709350139985012, 0.13236935510979714, -0.032540764845278417, 0.20507919140053107, 0.06284088118480065, -0.0029688621941966484, -0.04988682098888062, -0.05163289963997699, -0.10192599762986237, -0.21975435616096128, 0.014070390119544557, 0.20130379082685387, 0.10903442893067149, 0.06791027250221453, -0.25801294103164124, 0.019954915035742562, 0.21562767120996942, 0.11227362842072507, -0.016496902378905262, 0.0113557022115266, -0.42872899539164594, 0.14395536024853386, -0.187241280259489, -0.09003118019097962, -0.0029216192952181037, 0.07911505859747932, -0.15702254840997174, -0.3834396043439975, 0.20616436943512512, -0.13477986955360785, 0.07121080898277059, -0.009994947244539051, -0.2743000466253835, -0.07045335489375568, -0.008988157103492602, 0.06743832234673933, 0.13702918622663207, 0.17132663536766493, -0.038740794287642114, -0.06376226869965526, 0.3418280226052613, -0.12115270106084142, -0.14056252069713082, 0.031109259992435172, -0.2537678259588476, -0.1508832674385426, 0.18424061988795026, 0.15912336220562057, 0.04556210744320541, -0.18518342678057584, 0.06181599385249806, -0.02608820136535812, 0.25696506524911605, 0.05017499621907199, 0.04833224752439639, 0.21357564682870903, 0.11192728616643345, 0.013361439196946653, 0.004952126945608069, -0.1785162358318229, -0.0007210387722463221, -0.3823461664299405, -0.10747397853363608, -0.06166871845394977, 0.12203621813347815, -0.11356820065388142, -0.008916261404551365, 0.35036636894015044, 0.07862579221585514, 0.30002783757407925, 0.005221028826388254, 0.20919395905032098, 0.15589317495500468, 0.016004117567570426, 0.07235972513444722, 0.3356882032145419, 0.19047376639335542, 0.08874764834291528, -0.30593856058643526, 0.0660361196480792, -0.03653889544610236] |
708.155 | Liouville-type theorems for foliations with complex leaves | We discuss various problems regarding the structure of the foliation of some
foliated submanifolds S of C^n, in particular Levi flat ones. As a general
scheme, we suppose that S is bounded along a coordinate (or a subset of
coordinates), and prove that the leaves of its foliation are complex planes.
| math.CV | we discuss various problems regarding the structure of the foliation of some foliated submanifolds s of cn in particular levi flat ones as a general scheme we suppose that s is bounded along a coordinate or a subset of coordinates and prove that the leaves of its foliation are complex planes | [['we', 'discuss', 'various', 'problems', 'regarding', 'the', 'structure', 'of', 'the', 'foliation', 'of', 'some', 'foliated', 'submanifolds', 's', 'of', 'cn', 'in', 'particular', 'levi', 'flat', 'ones', 'as', 'a', 'general', 'scheme', 'we', 'suppose', 'that', 's', 'is', 'bounded', 'along', 'a', 'coordinate', 'or', 'a', 'subset', 'of', 'coordinates', 'and', 'prove', 'that', 'the', 'leaves', 'of', 'its', 'foliation', 'are', 'complex', 'planes']] | [-0.2730593001424317, 0.06049257385380128, -0.05191877944504514, 0.0345052265694511, -0.0972184542493493, -0.15113788514452822, -0.02052716136563058, 0.38670479403991326, -0.29628121838265775, -0.15265830997697205, 0.11351207974960334, -0.2737121210050057, -0.13969056022024767, 0.16458782019988433, -0.1283914276453502, -0.001683946353082052, 0.07594648708918077, 0.09666388670859091, -0.12637340163300728, -0.2319322419033258, 0.43231644013933107, -0.04903230874561796, 0.1806165603783858, 0.04292371358685926, 0.1449362776771772, -0.039018077492786976, 0.001698216386869842, 0.05515005294913791, -0.1428044701977199, 0.12902142112508563, 0.2146718023235307, 0.13175737586182854, 0.22108515060287626, -0.36900118873545934, -0.20854219087563894, 0.17203964385222278, 0.13376789004541934, 0.030186555786606145, -0.0037407770926388456, -0.27072967672903164, 0.10158767213351001, -0.07563834014695649, -0.24256066379009508, -0.05408148047532521, 0.04689324254571807, 0.023540331635112856, -0.17290825847486108, -0.0020869028407569023, 0.14522782747871152, 0.10420596131178386, -0.0853290776927572, -0.08485759290473938, -0.10550830649513313, 0.029027727537551055, 0.03717907491213113, 0.08497892686293698, 0.12386569259323034, -0.03158698488465127, -0.09555367267161023, 0.40361014768189074, -0.042755201988506554, -0.3146957089649696, 0.1329432676418447, -0.1707982332354375, -0.18731396593263044, 0.07355047819916816, 0.14678299816453136, 0.20353720461328825, -0.07578160428537932, 0.21785339515761235, -0.09121330354508816, 0.04670863627803092, 0.13769004184424, -0.00900448880993816, 0.11768391414308081, 0.08958093050922103, 0.15510334082714775, 0.08995724883953146, -0.03338663092832647, -0.05385492046308868, -0.3874649172466175, -0.23581680168361202, -0.10902098149937742, 0.1029535916396508, -0.125492977872936, -0.20049551490685155, 0.3963345619555256, 0.007582677163037599, 0.2889786039241681, 0.040846774865891416, 0.2198627876647401, -0.008941844966280841, -2.098361979804787e-05, 0.13874984378287314, 0.1443134142278794, 0.17031473233638442, -0.010022186564610285, -0.12401557673572325, 0.006410293545866129, 0.09423009707111929] |
708.1551 | Left-symmetric Bialgebras and An Analogue of the Classical Yang-Baxter
Equation | We introduce a notion of left-symmetric bialgebra which is an analogue of the
notion of Lie bialgebra. We prove that a left-symmetric bialgebra is equivalent
to a symplectic Lie algebra with a decomposition into a direct sum of the
underlying vector spaces of two Lagrangian subalgebras. The latter is called a
parak\"ahler Lie algebra or a phase space of a Lie algebra in mathematical
physics. We introduce and study coboundary left-symmetric bialgebras and our
study leads to what we call "$S$-equation", which is an analogue of the
classical Yang-Baxter equation. In a certain sense, the $S$-equation associated
to a left-symmetric algebra reveals the left-symmetry of the products. We show
that a symmetric solution of the $S$-equation gives a parak\"ahler Lie algebra.
We also show that such a solution corresponds to the symmetric part of a
certain operator called "${\cal O}$-operator", whereas a skew-symmetric
solution of the classical Yang-Baxter equation corresponds to the
skew-symmetric part of an ${\cal O}$-operator. Thus a method to construct
symmetric solutions of the $S$-equation (hence parak\"ahler Lie algebras) from
${\cal O}$-operators is provided. Moreover, by comparing left-symmetric
bialgebras and Lie bialgebras, we observe that there is a clear analogue
between them and, in particular, parak\"ahler Lie groups correspond to
Poisson-Lie groups in this sense.
| math.QA math-ph math.MP | we introduce a notion of leftsymmetric bialgebra which is an analogue of the notion of lie bialgebra we prove that a leftsymmetric bialgebra is equivalent to a symplectic lie algebra with a decomposition into a direct sum of the underlying vector spaces of two lagrangian subalgebras the latter is called a parakahler lie algebra or a phase space of a lie algebra in mathematical physics we introduce and study coboundary leftsymmetric bialgebras and our study leads to what we call sequation which is an analogue of the classical yangbaxter equation in a certain sense the sequation associated to a leftsymmetric algebra reveals the leftsymmetry of the products we show that a symmetric solution of the sequation gives a parakahler lie algebra we also show that such a solution corresponds to the symmetric part of a certain operator called cal ooperator whereas a skewsymmetric solution of the classical yangbaxter equation corresponds to the skewsymmetric part of an cal ooperator thus a method to construct symmetric solutions of the sequation hence parakahler lie algebras from cal ooperators is provided moreover by comparing leftsymmetric bialgebras and lie bialgebras we observe that there is a clear analogue between them and in particular parakahler lie groups correspond to poissonlie groups in this sense | [['we', 'introduce', 'a', 'notion', 'of', 'leftsymmetric', 'bialgebra', 'which', 'is', 'an', 'analogue', 'of', 'the', 'notion', 'of', 'lie', 'bialgebra', 'we', 'prove', 'that', 'a', 'leftsymmetric', 'bialgebra', 'is', 'equivalent', 'to', 'a', 'symplectic', 'lie', 'algebra', 'with', 'a', 'decomposition', 'into', 'a', 'direct', 'sum', 'of', 'the', 'underlying', 'vector', 'spaces', 'of', 'two', 'lagrangian', 'subalgebras', 'the', 'latter', 'is', 'called', 'a', 'parakahler', 'lie', 'algebra', 'or', 'a', 'phase', 'space', 'of', 'a', 'lie', 'algebra', 'in', 'mathematical', 'physics', 'we', 'introduce', 'and', 'study', 'coboundary', 'leftsymmetric', 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708.1552 | Demonstration of a mid infrared silicon Raman amplifier | We demonstrate for the first time a mid infrared silicon Raman amplifier.
Amplification of 12 dB is reported for a signal at 3.39 micron wavelength. The
active medium was a 2.5 cm long silicon sample that was pumped with 5ns pulses
at 2.88 micron. The absence of the nonlinear losses which severely limit the
performance of silicon Raman devices in the near infrared combined with
unsurpassed crystal quality, high thermal conductivity render silicon a very
attractive Raman medium. Such a technology can potentially extend silicon
photonics application beyond data communication in the near infrared and into
the mid infrared world of remote sensing, biochemical detection and laser
medicine.
| physics.optics | we demonstrate for the first time a mid infrared silicon raman amplifier amplification of 12 db is reported for a signal at 339 micron wavelength the active medium was a 25 cm long silicon sample that was pumped with 5ns pulses at 288 micron the absence of the nonlinear losses which severely limit the performance of silicon raman devices in the near infrared combined with unsurpassed crystal quality high thermal conductivity render silicon a very attractive raman medium such a technology can potentially extend silicon photonics application beyond data communication in the near infrared and into the mid infrared world of remote sensing biochemical detection and laser medicine | [['we', 'demonstrate', 'for', 'the', 'first', 'time', 'a', 'mid', 'infrared', 'silicon', 'raman', 'amplifier', 'amplification', 'of', '12', 'db', 'is', 'reported', 'for', 'a', 'signal', 'at', '339', 'micron', 'wavelength', 'the', 'active', 'medium', 'was', 'a', '25', 'cm', 'long', 'silicon', 'sample', 'that', 'was', 'pumped', 'with', '5ns', 'pulses', 'at', '288', 'micron', 'the', 'absence', 'of', 'the', 'nonlinear', 'losses', 'which', 'severely', 'limit', 'the', 'performance', 'of', 'silicon', 'raman', 'devices', 'in', 'the', 'near', 'infrared', 'combined', 'with', 'unsurpassed', 'crystal', 'quality', 'high', 'thermal', 'conductivity', 'render', 'silicon', 'a', 'very', 'attractive', 'raman', 'medium', 'such', 'a', 'technology', 'can', 'potentially', 'extend', 'silicon', 'photonics', 'application', 'beyond', 'data', 'communication', 'in', 'the', 'near', 'infrared', 'and', 'into', 'the', 'mid', 'infrared', 'world', 'of', 'remote', 'sensing', 'biochemical', 'detection', 'and', 'laser', 'medicine']] | [-0.07590069324511138, 0.14282599389251252, -0.025805849599203578, -0.06013449161697214, 0.014043740505628564, -0.14670584671182074, 0.08202114446019684, 0.48191928814372254, -0.21586667312981767, -0.29159063261424845, 0.10812989091479082, -0.3372548176665549, -0.07448480143729183, 0.23329019787100455, -0.0494411398432459, 0.056755950329480345, 0.006041331501263712, -0.09504726386404838, 0.028381091988800716, -0.16292093676101002, 0.1404998630449107, 0.11648277687426242, 0.34272183074305457, 0.04479827863138376, 0.10133515944794959, -0.009325946508734315, -0.009525994519073586, -0.07938928999161969, -0.07636281844753723, 0.07256755145715067, 0.33694107276904917, -0.03939793888841652, 0.260418371767392, -0.4170055386641454, -0.2362402881262824, 0.06242354523769959, 0.13680070580017786, 0.08886980912022947, -0.0788699925566713, -0.2498681718500814, 0.040474835912593536, -0.1165454283149706, -0.13640710544819334, 0.020250336956922656, 0.001824400580651989, -0.027231867614857578, -0.2435545978239841, 0.010707168058380139, -0.026239118310277938, 0.09224578272982466, -0.06876255551752466, -0.10001167011473121, -0.02876623066280175, 0.048457813030971145, -0.11414131642312794, 0.0038617454119957983, 0.24822671350233982, -0.16335230274125934, -0.08314456132723501, 0.3597206439029563, -0.11929017202325028, 0.02286896568774763, 0.19503528752183127, -0.1876932451311775, -0.03550051602845391, 0.2430917405053387, 0.15053663927042013, 0.08165214143055319, -0.1667888480997472, 0.06729011021929586, 0.053202774574014323, 0.24325986634896793, 0.15936121152696647, 0.19935446807304052, 0.23106095782929548, 0.2515040197273872, 0.02288087739402221, 0.12506750330269117, -0.22077669679290718, 0.05622021798734312, -0.24390315757827247, -0.13269566832524207, -0.18392826312359561, 0.09949896671309101, -0.11465843593140124, -0.11762507106134391, 0.3293924452478273, 0.1418057691383486, 0.10718500170828014, -0.033710550571817696, 0.35877175884390317, 0.07427520958137596, 0.12883240281155817, 0.02450510112275542, 0.3716112592223066, 0.1403562675447945, 0.20120858296717484, -0.22327011498122443, -0.02931975680662112, -0.07052040006749814] |
708.1553 | Single top production associated with a neutral scalar at LHC in
topcolor-assisted technicolor | The topcolor-assisted technicolor (TC2) model predicts a number of neutral
scalars like the top-pion ($\pi^0_t$) and the top-Higgs ($h^0_t$). These
scalars have flavor-changing neutral-current (FCNC) top quark couplings, among
which the top-charm transition couplings may be sizable. Such FCNC couplings
induce single top productions associated with a neutral scalar at the CERN
Large Hadron Collider (LHC) through the parton processes $cg \to t \pi_t^0$ and
$cg \to t h_t^0$. In this note we examine these productions and find their
production rates can exceed the $3\sigma$ sensitivity of the LHC in a large
part of parameter space. Since in the Standard Model and the minimal
supersymmetric model such rare productions have unobservably small production
rates at the LHC, these rare processes will serve as a good probe for the TC2
model.
| hep-ph | the topcolorassisted technicolor tc2 model predicts a number of neutral scalars like the toppion pi0_t and the tophiggs h0_t these scalars have flavorchanging neutralcurrent fcnc top quark couplings among which the topcharm transition couplings may be sizable such fcnc couplings induce single top productions associated with a neutral scalar at the cern large hadron collider lhc through the parton processes cg to t pi_t0 and cg to t h_t0 in this note we examine these productions and find their production rates can exceed the 3sigma sensitivity of the lhc in a large part of parameter space since in the standard model and the minimal supersymmetric model such rare productions have unobservably small production rates at the lhc these rare processes will serve as a good probe for the tc2 model | [['the', 'topcolorassisted', 'technicolor', 'tc2', 'model', 'predicts', 'a', 'number', 'of', 'neutral', 'scalars', 'like', 'the', 'toppion', 'pi0_t', 'and', 'the', 'tophiggs', 'h0_t', 'these', 'scalars', 'have', 'flavorchanging', 'neutralcurrent', 'fcnc', 'top', 'quark', 'couplings', 'among', 'which', 'the', 'topcharm', 'transition', 'couplings', 'may', 'be', 'sizable', 'such', 'fcnc', 'couplings', 'induce', 'single', 'top', 'productions', 'associated', 'with', 'a', 'neutral', 'scalar', 'at', 'the', 'cern', 'large', 'hadron', 'collider', 'lhc', 'through', 'the', 'parton', 'processes', 'cg', 'to', 't', 'pi_t0', 'and', 'cg', 'to', 't', 'h_t0', 'in', 'this', 'note', 'we', 'examine', 'these', 'productions', 'and', 'find', 'their', 'production', 'rates', 'can', 'exceed', 'the', '3sigma', 'sensitivity', 'of', 'the', 'lhc', 'in', 'a', 'large', 'part', 'of', 'parameter', 'space', 'since', 'in', 'the', 'standard', 'model', 'and', 'the', 'minimal', 'supersymmetric', 'model', 'such', 'rare', 'productions', 'have', 'unobservably', 'small', 'production', 'rates', 'at', 'the', 'lhc', 'these', 'rare', 'processes', 'will', 'serve', 'as', 'a', 'good', 'probe', 'for', 'the', 'tc2', 'model']] | [-0.06702092150590033, 0.3143568827872514, -0.000677931942846044, 0.1731736612809982, -0.05309723105892772, -0.2099571052731335, 0.07070574612953351, 0.27252274214879435, -0.2285764935586485, -0.2610745117344777, 0.005202234819989826, -0.3380620250318316, 0.013707404486922314, 0.10058527228466119, 0.10973904016282177, 0.07085382685176, 0.0853005781336833, 0.004483786111450172, 0.011463491695394623, -0.23372617812492535, 0.22526569329056656, 0.055423237710783724, 0.17105776553580654, 0.15774103367584758, 0.03960777685097128, -0.020958940014679683, -0.002940038760243624, -0.07250470874737402, -0.10743335753249994, 0.05194008279522677, 0.22875151410471517, 0.06172346587663924, 0.08693843420769554, -0.34885916858911514, -0.10925660090833844, 0.2304753996886575, 0.1303001457690698, 0.11271070477869216, -0.07329444059723755, -0.3130605182122963, 0.10893233012757264, -0.2693789527838817, -0.0764869375161652, -0.08266723368797102, -0.06029159566605813, -0.08495926893374417, -0.37532858045597095, 0.06522540804508026, -0.07881961361636058, 0.02406836289264902, 0.08661223638409865, -0.2006950226950721, -0.12183114379513427, -0.011383343504348886, 0.1382074620014464, 0.03655546748814231, 0.22827549678186188, -0.23802320899812912, -0.1973581007705434, 0.36576020931534003, -0.17235151084423705, -0.16273550510044288, 0.24237715678100358, -0.23953404943313217, -0.2125089029177616, 0.10770902651711367, 0.28439472431273316, 0.07822070352813171, -0.2068687660212163, 0.20690537782320462, 0.010035214962044847, 0.11924089635976998, 0.04483621591498377, 0.08636829356328235, 0.27225342175370315, 0.24918220677500358, 0.001000690430373652, 0.04478052378635766, -0.07768658914619664, -0.06755830303882249, -0.4480397438928776, -0.14552987840033893, 0.015594719086948317, 0.05209180039571493, -0.07913014845280486, -0.10304032321255363, 0.3531613839477359, 0.16224205228809296, 0.3008788105362328, 0.022749271475731803, 0.23356169370890711, 0.07015233064794302, 0.1426793936325339, 0.019389877720072946, 0.329492264881992, 0.09918471779747051, 0.16147645451928838, -0.22750888057635166, 0.07179895917579415, 0.07353700021849363] |
708.1554 | Floer Homology for Symplectomorphism | Let (M,\omega) be a compact symplectic manifold, and \phi be a symplectic
diffeomorphism on M, we define a Floer-type homology FH_*(\phi) which is a gen-
eralization of Floer homology for symplectic fixed points defined by Dostoglou
and Salamon for monotone symplectic manifolds. These homology groups are
modules over a suitable Novikov ring and depend only on \phi up to a
Hamiltonian isotopy.
| math.SG | let momega be a compact symplectic manifold and phi be a symplectic diffeomorphism on m we define a floertype homology fh_phi which is a gen eralization of floer homology for symplectic fixed points defined by dostoglou and salamon for monotone symplectic manifolds these homology groups are modules over a suitable novikov ring and depend only on phi up to a hamiltonian isotopy | [['let', 'momega', 'be', 'a', 'compact', 'symplectic', 'manifold', 'and', 'phi', 'be', 'a', 'symplectic', 'diffeomorphism', 'on', 'm', 'we', 'define', 'a', 'floertype', 'homology', 'fh_phi', 'which', 'is', 'a', 'gen', 'eralization', 'of', 'floer', 'homology', 'for', 'symplectic', 'fixed', 'points', 'defined', 'by', 'dostoglou', 'and', 'salamon', 'for', 'monotone', 'symplectic', 'manifolds', 'these', 'homology', 'groups', 'are', 'modules', 'over', 'a', 'suitable', 'novikov', 'ring', 'and', 'depend', 'only', 'on', 'phi', 'up', 'to', 'a', 'hamiltonian', 'isotopy']] | [-0.30365685250920554, 0.07805581806848447, -0.12982526109553874, 0.0866602380546586, -0.10527335855100925, -0.23860717645535867, -0.04676921323407442, 0.3443820688252648, -0.3203563250601292, -0.2223789117919902, 0.07372403375338762, -0.19149714144878088, -0.15988267270537715, 0.18653385654324667, -0.22530489571702977, -0.021088772779330613, 0.12589534423314036, 0.0972051454319929, -0.17073370314513645, -0.23370995768345892, 0.46676485527229183, -0.05851403893902898, 0.08435760379458467, 0.07721830224618316, 0.18537158857410152, -0.047258223841587704, 0.028975124983116985, -0.0042423949072447915, -0.1704424321030577, 0.09269226723505805, 0.3194247985413919, -0.03749593792793651, 0.10821166161137323, -0.3319243393217524, -0.10706018503988161, 0.21028035546963414, 0.10368634171318263, -0.09595839760925931, 0.04921183796832338, -0.3739294190580646, 0.14985175615098947, -0.16425369936041534, -0.09896331237784277, -0.1588049746894588, 0.09133309409177552, 0.05925172846764326, -0.19216191250210007, -0.09836239107729246, 0.07936630391826233, 0.18407862014137208, -0.015400650290151438, -0.06749677781481296, -0.10222090027139832, 0.0706562765641138, -0.08416893514416492, 0.18302267857749635, 0.20793847570506235, 0.011897184097324497, -0.10066241709670673, 0.3826711614926656, -0.08504115151784693, -0.36660450768346586, 0.06116743655875325, -0.08955140293110161, -0.2738593979816263, 0.1964688022620976, 0.02780132422534128, 0.17186276223510505, -0.010746559919789433, 0.27427828752455147, -0.1062316528055817, 0.059809056118441124, 0.10870687693823129, -0.09458874982471267, 0.15599789892633756, 0.06499904061978062, 0.19804913759823345, 0.039432040512717016, 0.040271302801556885, -0.08221063207214077, -0.28501698789962876, -0.2715790616348386, -0.11859934015665204, 0.2918167830289652, -0.13479563330693053, -0.1558908382159037, 0.4141121382204195, -0.07419997610462209, 0.17129521047075588, 0.2027497641761632, 0.19151686393888667, -0.0014480677472117046, 0.10289078842227657, 0.09921157938273002, 0.043659279285930094, 0.26931044183438646, -0.050521298515377566, -0.08776182280853391, -0.16055048385169357, 0.2726591470612523] |
708.1555 | Functions of representations of the class 1 on the homogeneous spaces of
the de Sitter group | Matrix elements and spherical functions of irreducible representations of the
de Sitter group are studied on the various homogeneous spaces of this group.
| math-ph math.MP | matrix elements and spherical functions of irreducible representations of the de sitter group are studied on the various homogeneous spaces of this group | [['matrix', 'elements', 'and', 'spherical', 'functions', 'of', 'irreducible', 'representations', 'of', 'the', 'de', 'sitter', 'group', 'are', 'studied', 'on', 'the', 'various', 'homogeneous', 'spaces', 'of', 'this', 'group']] | [-0.16694894886535147, 0.16677822836715242, -0.13813031728015, 0.0658728627477894, -0.06099356484153996, 0.018795346436293228, -0.11024065210443476, 0.3864736103493234, -0.24170337823907967, -0.16571432744841214, 0.13932597701964172, -0.23984018543168253, -0.1530943103944478, 0.14891495960562126, -0.03721164557930973, 0.00474071296174889, -0.0210403960765056, 0.09241758168513037, -0.20946647360434997, -0.28560212643250177, 0.4954494017621745, -0.005173061245485493, 0.31072715135372203, -0.12610438611844313, 0.14630220559142207, 0.06579311293266389, -0.095133182167521, -0.059347585005604706, -0.11227051751769107, 0.17235511234637513, 0.30850124342933943, 0.07649458098508742, 0.15950863345769112, -0.39486601236073865, -0.19332474575418493, 0.226742351670628, 0.13408754003720116, 0.03243924345335235, -0.05521354838983034, -0.3674861639738083, 0.0741091025588305, -0.19987557107663673, -0.13646729501045268, -0.053549553318273116, 0.04022082356412126, 0.005370309252453887, -0.1801910829608855, 0.019825469419036224, 0.010875241426022156, 0.10109861421844234, -0.12241389535610443, -0.18168707710245383, -0.02989933790092397, 0.14845590560656527, -0.016711641426967537, -0.03986730608765198, 0.1327877559942072, -0.06927278665218341, -0.05256068973761538, 0.3950476354473959, -0.029523010325172672, -0.2710355691935705, 0.179220175937466, -0.21013672236839068, -0.15253025372310178, 0.09863073186462988, 0.1715775462596313, 0.1663839622684147, -0.0258411412410762, 0.2667375656791315, -0.0904048784919407, 0.047660106929707464, 0.10019404702293484, -0.003713542352551999, 0.08892874039061692, 0.044153100203560745, 0.008476032389570837, 0.06326082794238692, 0.12611261379662092, -0.03530665771256242, -0.3377077799776326, -0.21328083612024784, -0.15010790544076133, 0.014109149615725746, -0.21639001148730092, -0.26577947827299003, 0.3937905757971432, -0.06112922015397445, 0.14252937293570975, 0.05729914618575055, 0.14752418126748956, 0.0150670874863863, 0.021366500680375357, 0.029898015134360478, 0.14032689336201418, 0.23391131700380988, -0.033891857540963785, -0.19418859578993009, -0.06374313388748662, 0.22332987893858683] |
708.1556 | Seip's differentiability concepts as a particular case of the
Bertram--Gloeckner--Neeb construction | From the point of view of unification of differentiation theory, it is of
interest to note that the general construction principle of Bertram, Gloeckner
and Neeb leading to a C^k differentiability concept from a given C^0 one,
besides subsuming the Keller--Bastiani C_c^k differentiabilities on real
Hausdorff locally convex spaces, also does the same to the "arc-generated"
interpretation of the Lipschitz theory of differentiation by Frolicher and
Kriegl, and likewise to the "compactly generated" theory of Seip's continuous
differentiabilities. In this article, we give the details of the proof for the
assertion concerning Seip's theory. We also give an example indicating that the
premises in Seip's various inverse and implicit function theorems may be too
strong in order for these theorems to have much practical value. Also included
is a presentation of the BGN--setting reformulated so as to be consistent with
the Kelley--Morse--Godel--Bernays--von Neumann type approach to set theory, as
well as a treatment of the function space constructions and development of
their basic properties needed in the proof of the main result.
| math.FA | from the point of view of unification of differentiation theory it is of interest to note that the general construction principle of bertram gloeckner and neeb leading to a ck differentiability concept from a given c0 one besides subsuming the kellerbastiani c_ck differentiabilities on real hausdorff locally convex spaces also does the same to the arcgenerated interpretation of the lipschitz theory of differentiation by frolicher and kriegl and likewise to the compactly generated theory of seips continuous differentiabilities in this article we give the details of the proof for the assertion concerning seips theory we also give an example indicating that the premises in seips various inverse and implicit function theorems may be too strong in order for these theorems to have much practical value also included is a presentation of the bgnsetting reformulated so as to be consistent with the kelleymorsegodelbernaysvon neumann type approach to set theory as well as a treatment of the function space constructions and development of their basic properties needed in the proof of the main result | [['from', 'the', 'point', 'of', 'view', 'of', 'unification', 'of', 'differentiation', 'theory', 'it', 'is', 'of', 'interest', 'to', 'note', 'that', 'the', 'general', 'construction', 'principle', 'of', 'bertram', 'gloeckner', 'and', 'neeb', 'leading', 'to', 'a', 'ck', 'differentiability', 'concept', 'from', 'a', 'given', 'c0', 'one', 'besides', 'subsuming', 'the', 'kellerbastiani', 'c_ck', 'differentiabilities', 'on', 'real', 'hausdorff', 'locally', 'convex', 'spaces', 'also', 'does', 'the', 'same', 'to', 'the', 'arcgenerated', 'interpretation', 'of', 'the', 'lipschitz', 'theory', 'of', 'differentiation', 'by', 'frolicher', 'and', 'kriegl', 'and', 'likewise', 'to', 'the', 'compactly', 'generated', 'theory', 'of', 'seips', 'continuous', 'differentiabilities', 'in', 'this', 'article', 'we', 'give', 'the', 'details', 'of', 'the', 'proof', 'for', 'the', 'assertion', 'concerning', 'seips', 'theory', 'we', 'also', 'give', 'an', 'example', 'indicating', 'that', 'the', 'premises', 'in', 'seips', 'various', 'inverse', 'and', 'implicit', 'function', 'theorems', 'may', 'be', 'too', 'strong', 'in', 'order', 'for', 'these', 'theorems', 'to', 'have', 'much', 'practical', 'value', 'also', 'included', 'is', 'a', 'presentation', 'of', 'the', 'bgnsetting', 'reformulated', 'so', 'as', 'to', 'be', 'consistent', 'with', 'the', 'kelleymorsegodelbernaysvon', 'neumann', 'type', 'approach', 'to', 'set', 'theory', 'as', 'well', 'as', 'a', 'treatment', 'of', 'the', 'function', 'space', 'constructions', 'and', 'development', 'of', 'their', 'basic', 'properties', 'needed', 'in', 'the', 'proof', 'of', 'the', 'main', 'result']] | [-0.06252780971312505, 0.051726167740716464, -0.11161280010163249, 0.10464329237165766, -0.08460124947889122, -0.08026120242415956, 0.0426498734494002, 0.3205662484707389, -0.2825899390381075, -0.24341137345997382, 0.14006209957642024, -0.22555864605115739, -0.17064902611762775, 0.2181911863565088, -0.12589061174898625, 0.0185499980175745, 0.01248582247588895, 0.05867136343839595, -0.07379696157155838, -0.23889658917271403, 0.3581384360556028, 0.021271280945741575, 0.22697967789442597, 0.11021212962718156, 0.0871779880009614, 0.011187220658705442, -0.04038190720379799, 0.026928879832814053, -0.14353655195911066, 0.16415808224161071, 0.2672730138341333, 0.15454790526220274, 0.2835697961994168, -0.38393942591829033, -0.1718092508386461, 0.09924311313393364, 0.08801803437708515, 0.07762029934392177, -0.028078017819778783, -0.2806180773392141, 0.1038178443535047, -0.15824574902570043, -0.17928968301924045, -0.08298105645811876, 0.023729744272496172, 0.02380658604162197, -0.25075122409271533, 0.03650342957566292, 0.13547755488749416, 0.06027598685757843, -0.08807020184087629, -0.08978024493654754, -0.023375417667017236, 0.0909289209852497, 0.07233627575301861, 0.06730384810152881, 0.07538310754876919, -0.08337467701821226, -0.12006213370442925, 0.36743265074750264, -0.035972824396180755, -0.2106964451534127, 0.19813962862826884, -0.14575981814414263, -0.15884121245297486, 0.07033822482833806, 0.1159107171732397, 0.13447869561220838, -0.09502581692534962, 0.1226126516309656, -0.06199862028076174, 0.11806241928235192, 0.06721136231298842, 0.06413471780077437, 0.13092411978694493, 0.10712781312044509, 0.08156882540161113, 0.11848376086818244, 0.033927916798707165, -0.10214227998823006, -0.39592066625813527, -0.17245655283377181, -0.16740178394209437, 0.08497655689493268, -0.08348459451036558, -0.2044402457927744, 0.3550736084747725, 0.14126676643716204, 0.16697830096316596, 0.09611368020661845, 0.25055456607641574, 0.11964555455291223, 0.048981693326523475, 0.0062321554813645555, 0.19085284308558273, 0.17202712951400903, 0.08027248196080773, -0.12853005414125984, 0.046036560071665726, 0.15691334547329985] |
708.1557 | Nilpotent Fuzz | We present a construction of the formalism where fundamental variables are
nilpotent, but in contrast to the supermathematics, commutative. This gives
another possibility to realize classically the Pauli exclusion principle. We
sketch the relevant formalism and discuss simple model of the nilpotent
oscillator to illustrate the generalized nilpotent mechanics.
| hep-th | we present a construction of the formalism where fundamental variables are nilpotent but in contrast to the supermathematics commutative this gives another possibility to realize classically the pauli exclusion principle we sketch the relevant formalism and discuss simple model of the nilpotent oscillator to illustrate the generalized nilpotent mechanics | [['we', 'present', 'a', 'construction', 'of', 'the', 'formalism', 'where', 'fundamental', 'variables', 'are', 'nilpotent', 'but', 'in', 'contrast', 'to', 'the', 'supermathematics', 'commutative', 'this', 'gives', 'another', 'possibility', 'to', 'realize', 'classically', 'the', 'pauli', 'exclusion', 'principle', 'we', 'sketch', 'the', 'relevant', 'formalism', 'and', 'discuss', 'simple', 'model', 'of', 'the', 'nilpotent', 'oscillator', 'to', 'illustrate', 'the', 'generalized', 'nilpotent', 'mechanics']] | [-0.103673601613323, 0.1385891440357747, -0.0732981869380693, 0.08323816455929178, -0.1357959349905806, -0.20618022768283073, 0.03547671267629734, 0.2945275806764863, -0.30075525916276535, -0.2209095030414815, 0.04242149266956032, -0.19272139786305476, -0.17825698540831098, 0.16342802383290717, -0.1483214554015775, -0.04207584868204229, 0.0024742308661949877, 0.10243828906392564, -0.10244738326731082, -0.23761580998496135, 0.31867841347976, 0.01125572014324443, 0.23226273460883876, 0.048474236182412325, 0.13584786252954936, 0.05175791460336471, -0.02395250710031512, -0.05770975672544874, -0.12901180471312634, 0.144570752427134, 0.2599975566013849, 0.08811890018381635, 0.1937778697406151, -0.3826042425115498, -0.14775049807539456, 0.13842351014288712, 0.1378786075119005, 0.17988351531022664, -0.011335568369499274, -0.29180033558181356, 0.0035303731981132713, -0.2340184886920817, -0.21758980855193674, -0.13404896323169982, 0.01751508385095061, -0.08316990088823499, -0.20264035629640734, 0.0686866649597579, 0.1073212430014142, 0.02232891743128397, -0.030163821545714627, -0.06927118582706851, 0.02128201646122093, 0.018303770743006348, -0.04267450673173049, -0.0760022007233026, 0.13956294621207885, -0.01222771656585439, -0.15174391810611196, 0.4363463459802525, 0.016242445066419184, -0.22973888930009337, 0.1476798021918809, -0.17021743616811474, -0.18643685488258394, 0.03306517797541254, 0.10349478284657306, 0.1482219211757183, -0.16651084882264233, 0.1884619423214403, -0.07512323679022338, 0.04468725579885804, 0.03239097376829203, 0.013518281775165578, 0.18103517998694157, 0.14660937905463636, 0.0195129144252563, 0.15534075746806908, 0.0218082207958309, -0.13882048046976633, -0.4230780552844612, -0.1620201006080606, -0.11785101533240201, 0.08756494582915793, -0.08643964173394607, -0.1555494804087342, 0.41308939829468727, 0.23992599360644817, 0.15691768239271275, 0.08219668379395592, 0.26044227806281073, 0.14528512754192463, 0.056224189432603974, -0.004067367931105652, 0.23283361635950148, 0.26408660354814967, 0.0028355114009915566, -0.2010316676175108, -0.0724381576007118, 0.13489809115322268] |
708.1558 | Construction of a 3-Dimensional MDS code | In this paper, we describe a procedure for constructing $q$--ary
$[N,3,N-2]$--MDS codes, of length $N\leq q+1$ (for $q$ odd) or $N\leq q+2$ (for
$q$ even), using a set of non--degenerate Hermitian forms in $PG(2,q^2)$.
| cs.IT math.IT | in this paper we describe a procedure for constructing qary n3n2mds codes of length nleq q1 for q odd or nleq q2 for q even using a set of nondegenerate hermitian forms in pg2q2 | [['in', 'this', 'paper', 'we', 'describe', 'a', 'procedure', 'for', 'constructing', 'qary', 'n3n2mds', 'codes', 'of', 'length', 'nleq', 'q1', 'for', 'q', 'odd', 'or', 'nleq', 'q2', 'for', 'q', 'even', 'using', 'a', 'set', 'of', 'nondegenerate', 'hermitian', 'forms', 'in', 'pg2q2']] | [-0.25027387781125127, 0.14530437713432492, -0.0007637139466224295, 0.09388380258866219, 0.04164020931630424, -0.282193228687075, 0.017394233865409413, 0.3649773860745358, -0.21087427155086488, -0.17619379248582956, 0.04827244089436576, -0.2382125873683077, -0.14702222607042076, 0.22771867251051872, -0.03787752827911666, 0.05143830530119665, 0.03450480646764239, 0.08854424453933131, -0.16379076835812267, -0.31237776887913543, 0.39627424040527054, -0.06131812862374566, 0.08977434730552362, 0.0010019626157979171, 0.06681064814046929, 0.09860430457488153, 0.052021718442891586, -0.07169318158235966, -0.22401851473489043, 0.09650726362385532, 0.3416038023124477, 0.12423228184607896, 0.16138177252177036, -0.27236612070577615, -0.13586607219820673, 0.2250833207967155, 0.20657151790730882, 0.12344552881338379, -0.029096764667580526, -0.09324179270840956, 0.19796399337550005, -0.20405106977418516, -0.18807883406848167, -0.07019853876960097, 0.10713727529527563, -0.038730511399493975, -0.41212420419535856, 0.015264605821082087, 0.1603282680734992, 0.14429031066935172, -0.061104003763334316, -0.23624427297688794, 0.0591027325118017, 0.0527612996273533, -0.07847433638843623, 0.06251319702432463, -0.09982046810910106, -0.08314140512833768, -0.1029578090617151, 0.31099082224748353, 0.019537436380756622, -0.2483257795825149, 0.0012292000606204524, -0.16932333960677637, -0.13364840781485493, 0.15420567046738032, 0.2007331159530264, 0.1917859122799145, -0.011966896892497034, 0.237366324883293, -0.09957208641748311, 0.1697058058484937, 0.22346984343179924, 0.029963531841834385, 0.1286660230746775, 0.07747694790701974, 0.012738904069093141, 0.17295957311536325, -0.02143854443266085, 0.02581754462285475, -0.36832873051929654, -0.1713874263646589, -0.208001158983362, 0.1956140360879627, -0.11816738377974341, -0.16571139352339687, 0.3128209827524243, 0.06354244228339556, 0.17329691643967773, 0.12455704952166839, 0.212607520858221, -0.006780432004068809, 0.04075097488803846, 0.16614654093141187, 0.060158022764054214, 0.16393936945435902, -0.04770605164495381, -0.11300472366256696, -0.10452203307244362, 0.1699158666711865] |
708.1559 | Investigation on the superluminality of evanescent modes via quantum
Lorentz transformation | Applying the fact that guided photons inside a waveguide can be treated as
massive particles, one can study the superluminality of evanescent modes via
showing that a massive particle can propagate over a spacelike interval, which
corresponds to quantum tunneling effects. For this purpose, we treat the
particle as a quantum reference frame, while attach an inertia observer to a
classical reference frame, and then quantize the formulae for the Lorentz
transformation between the quantum and classical reference frames, from which
we obtain the conclusion that, owing to the Heisenberg's uncertainty relation,
the particle can propagate over a spacelike interval.
| quant-ph | applying the fact that guided photons inside a waveguide can be treated as massive particles one can study the superluminality of evanescent modes via showing that a massive particle can propagate over a spacelike interval which corresponds to quantum tunneling effects for this purpose we treat the particle as a quantum reference frame while attach an inertia observer to a classical reference frame and then quantize the formulae for the lorentz transformation between the quantum and classical reference frames from which we obtain the conclusion that owing to the heisenbergs uncertainty relation the particle can propagate over a spacelike interval | [['applying', 'the', 'fact', 'that', 'guided', 'photons', 'inside', 'a', 'waveguide', 'can', 'be', 'treated', 'as', 'massive', 'particles', 'one', 'can', 'study', 'the', 'superluminality', 'of', 'evanescent', 'modes', 'via', 'showing', 'that', 'a', 'massive', 'particle', 'can', 'propagate', 'over', 'a', 'spacelike', 'interval', 'which', 'corresponds', 'to', 'quantum', 'tunneling', 'effects', 'for', 'this', 'purpose', 'we', 'treat', 'the', 'particle', 'as', 'a', 'quantum', 'reference', 'frame', 'while', 'attach', 'an', 'inertia', 'observer', 'to', 'a', 'classical', 'reference', 'frame', 'and', 'then', 'quantize', 'the', 'formulae', 'for', 'the', 'lorentz', 'transformation', 'between', 'the', 'quantum', 'and', 'classical', 'reference', 'frames', 'from', 'which', 'we', 'obtain', 'the', 'conclusion', 'that', 'owing', 'to', 'the', 'heisenbergs', 'uncertainty', 'relation', 'the', 'particle', 'can', 'propagate', 'over', 'a', 'spacelike', 'interval']] | [-0.09265786635398399, 0.2014480000623007, -0.13048216106952168, 0.07947746273945086, -0.08680444520898163, -0.1365759121719748, 0.025136266278568655, 0.361644233558327, -0.2734980424493551, -0.2662513068784028, 0.010626218325924128, -0.2637254699971527, -0.08496877182740718, 0.19110373983508908, -0.061171617535874245, 0.015311065823771059, 0.08294756057672202, 0.09941393373999745, -0.08991066078888252, -0.1541479279473424, 0.26521867036353797, 0.06906433491385541, 0.26057637806981804, -0.00450946663506329, 0.1552208575932309, 0.06390643077902496, 0.013594737891107798, 0.04347570950514637, -0.08968491854953754, 0.0836289715860039, 0.23057135356124492, 0.08136006533168257, 0.26621618180535733, -0.42492001079022884, -0.23187985747121276, 0.08701618410181254, 0.2067267257720232, 0.1868821017863229, -0.020161787401884793, -0.32795724207535387, 0.035443098251707855, -0.15488024478778242, -0.13835685026831926, -0.015129463337361813, -0.026057325806468724, -0.041868758204509506, -0.2435403790185228, 0.0718680697284799, 0.061935563865117726, -0.006294495974798337, -0.04793127451150212, 0.03284059058409184, 0.004465165198780596, 0.11200032932683826, 0.059348016362637285, 0.05318704497301951, 0.16956495318561793, -0.059833207500632854, -0.12016540145967156, 0.43875208247452974, -0.06235526574309915, -0.28498594210715966, 0.14635124654043466, -0.13710254509700462, -0.02913612309610471, 0.08492149845464154, 0.16774509597569703, 0.08834548448212445, -0.15833603942301125, 0.06496693908120506, -0.03271406254381873, 0.15454608522355556, 0.15051463392563164, 0.06975511102587915, 0.2721799642499536, 0.04714745257049799, 0.03275603006244637, 0.1437978384725284, -0.09188796891830861, -0.12020330029539764, -0.39111477868631483, -0.23470909915864469, -0.17714013545773924, 0.07439975700341166, -0.08756126413092716, -0.13296070558950304, 0.344734286761377, 0.13189216478145682, 0.18166574127972127, 0.0514779141289182, 0.27686387674883006, 0.13626073220511897, 0.0829910643491894, 0.0752000801480608, 0.2953657403960824, 0.14521502445451914, 0.0660294192067522, -0.20036302195163444, -0.04179527283180505, 0.05503909297287464] |
708.156 | Defining amalgams of compact Lie groups | For $n \geq 2$ let $\Delta$ be a Dynkin diagram of rank $n$ and let $I = {1,
>..., n}$ be the set of labels of $\Delta$. A group $G$ admits a weak Phan
system of type $\Delta$ over $\mathbb{C}$ if $G$ is generated by subgroups
$U_i$, $i \in I$, which are central quotients of simply connected compact
semisimple Lie groups of rank one, and contains subgroups $U_{i,j} = \gen{U_i
,U_j}$, $i \neq j \in I$, which are central quotients of simply connected
compact semisimple Lie groups of rank two such that $U_i$ and $U_j$ are rank
one subgroups of $U_{i,j}$ corresponding to a choice of a maximal torus and a
fundamental system of roots for $U_{i,j}$. It is shown in this article that $G$
then is a central quotient of the simply connected compact semisimple Lie group
whose complexification is the simply connected complex semisimple Lie group of
type $\Delta$.
| math.GR | for n geq 2 let delta be a dynkin diagram of rank n and let i 1 n be the set of labels of delta a group g admits a weak phan system of type delta over mathbbc if g is generated by subgroups u_i i in i which are central quotients of simply connected compact semisimple lie groups of rank one and contains subgroups u_ij genu_i u_j i neq j in i which are central quotients of simply connected compact semisimple lie groups of rank two such that u_i and u_j are rank one subgroups of u_ij corresponding to a choice of a maximal torus and a fundamental system of roots for u_ij it is shown in this article that g then is a central quotient of the simply connected compact semisimple lie group whose complexification is the simply connected complex semisimple lie group of type delta | [['for', 'n', 'geq', '2', 'let', 'delta', 'be', 'a', 'dynkin', 'diagram', 'of', 'rank', 'n', 'and', 'let', 'i', '1', 'n', 'be', 'the', 'set', 'of', 'labels', 'of', 'delta', 'a', 'group', 'g', 'admits', 'a', 'weak', 'phan', 'system', 'of', 'type', 'delta', 'over', 'mathbbc', 'if', 'g', 'is', 'generated', 'by', 'subgroups', 'u_i', 'i', 'in', 'i', 'which', 'are', 'central', 'quotients', 'of', 'simply', 'connected', 'compact', 'semisimple', 'lie', 'groups', 'of', 'rank', 'one', 'and', 'contains', 'subgroups', 'u_ij', 'genu_i', 'u_j', 'i', 'neq', 'j', 'in', 'i', 'which', 'are', 'central', 'quotients', 'of', 'simply', 'connected', 'compact', 'semisimple', 'lie', 'groups', 'of', 'rank', 'two', 'such', 'that', 'u_i', 'and', 'u_j', 'are', 'rank', 'one', 'subgroups', 'of', 'u_ij', 'corresponding', 'to', 'a', 'choice', 'of', 'a', 'maximal', 'torus', 'and', 'a', 'fundamental', 'system', 'of', 'roots', 'for', 'u_ij', 'it', 'is', 'shown', 'in', 'this', 'article', 'that', 'g', 'then', 'is', 'a', 'central', 'quotient', 'of', 'the', 'simply', 'connected', 'compact', 'semisimple', 'lie', 'group', 'whose', 'complexification', 'is', 'the', 'simply', 'connected', 'complex', 'semisimple', 'lie', 'group', 'of', 'type', 'delta']] | [-0.2480737548250211, 0.11689897417605595, -0.04082940574133528, -0.025814224668892518, -0.1521696845041018, -0.2130946573598602, 0.00400309567894077, 0.3678870538921178, -0.3110724864084096, -0.17614373349312212, 0.11426560951121227, -0.27469917271146865, -0.092468612768757, 0.17639385502417984, -0.1207585187001648, -0.1678242049287675, 0.030680270412569346, 0.1993651448964414, -0.0593595560608419, -0.2618814544296082, 0.4265718109094772, -0.1591371312281307, 0.14260724172266168, -0.016928774467827815, 0.07914244269375645, -0.012895200746830832, -0.006194493989935335, 0.029439766872294094, -0.09014459113088724, 0.09184816237824152, 0.3417239240085592, 0.08624676115760187, 0.2503636435543814, -0.30456474689500673, -0.10107351170510662, 0.2810337591447494, 0.1842819268713851, -0.11392429333693367, 0.02784752691177284, -0.2762419846301683, 0.14024855818308027, -0.2166215803752951, -0.17719004687783466, 0.00471770399104373, 0.17830378595473512, 0.016073895475770136, -0.2616412934283314, 0.03889089155004544, 0.07866304656561958, 0.09244644425201173, 0.015441135821711957, -0.15674020605776331, -0.09162639287224382, 0.09256688410695009, -0.10032896272209314, 0.08824749775373433, 0.08168214558287948, -0.0680823784515968, -0.06515804549590462, 0.4176504854714739, -0.00966876446503867, -0.213658139679809, 0.11832549039363152, -0.21235366499837058, -0.19609406822658823, 0.09966953139004557, 0.08096689023837751, 0.17034232612702438, -0.028835831913260782, 0.2162449673581615, -0.13141641679946903, 0.05745895939632034, 0.038240787722043645, -0.07583043836437318, 0.11719865327523578, 0.1261990717786434, 0.0785910874750896, 0.013208710514072354, 0.07450985552451643, 0.10210854572174298, -0.40215321462981557, -0.1534928237246413, -0.15793174853054237, 0.20388266000719296, -0.15140046684196548, -0.13674245112425915, 0.39846458501454923, 0.010619825119672178, 0.1487090359093482, 0.08723206618831646, 0.15742597627599222, 0.06485158146201034, 0.06626568495479672, 0.14433801477331193, 0.03764503048162679, 0.2650315791042205, -0.16080516039910187, -0.1520642294092294, -0.08723873137037086, 0.21082947956917641] |
708.1561 | Towards Quantum Noncommutative $\kappa$-deformed Field Theory | We introduce new $\kappa$-star product describing the multiplication of
quantized $\kappa$-deformed free fields. The $\kappa$-deformation of local free
quantum fields originates from two sources: noncommutativity of space-time and
the $\kappa$-deformation of field oscillators algebra - we relate these two
deformations. We demonstrate that for suitable choice of $\kappa$-deformed
field oscillators algebra the $\kappa$-deformed version of microcausality
condition is satisfied, and it leads to the deformation of the Pauli-Jordan
commutation function defined by the $\kappa$-deformed mass shell. We show by
constructing the $\kappa$-deformed Fock space that the use of $\kappa$-deformed
oscillator algebra permits to preserve the bosonic statistics of n-particle
states. The proposed star product is extended to the product of $n$ fields,
which for $n=4$ defines the interaction vertex in perturbative description of
noncommutative quantum $\lambda\phi^4$ field theory. It appears that the
classical fourmomentum conservation law is satisfied at the interaction
vertices.
| hep-th | we introduce new kappastar product describing the multiplication of quantized kappadeformed free fields the kappadeformation of local free quantum fields originates from two sources noncommutativity of spacetime and the kappadeformation of field oscillators algebra we relate these two deformations we demonstrate that for suitable choice of kappadeformed field oscillators algebra the kappadeformed version of microcausality condition is satisfied and it leads to the deformation of the paulijordan commutation function defined by the kappadeformed mass shell we show by constructing the kappadeformed fock space that the use of kappadeformed oscillator algebra permits to preserve the bosonic statistics of nparticle states the proposed star product is extended to the product of n fields which for n4 defines the interaction vertex in perturbative description of noncommutative quantum lambdaphi4 field theory it appears that the classical fourmomentum conservation law is satisfied at the interaction vertices | [['we', 'introduce', 'new', 'kappastar', 'product', 'describing', 'the', 'multiplication', 'of', 'quantized', 'kappadeformed', 'free', 'fields', 'the', 'kappadeformation', 'of', 'local', 'free', 'quantum', 'fields', 'originates', 'from', 'two', 'sources', 'noncommutativity', 'of', 'spacetime', 'and', 'the', 'kappadeformation', 'of', 'field', 'oscillators', 'algebra', 'we', 'relate', 'these', 'two', 'deformations', 'we', 'demonstrate', 'that', 'for', 'suitable', 'choice', 'of', 'kappadeformed', 'field', 'oscillators', 'algebra', 'the', 'kappadeformed', 'version', 'of', 'microcausality', 'condition', 'is', 'satisfied', 'and', 'it', 'leads', 'to', 'the', 'deformation', 'of', 'the', 'paulijordan', 'commutation', 'function', 'defined', 'by', 'the', 'kappadeformed', 'mass', 'shell', 'we', 'show', 'by', 'constructing', 'the', 'kappadeformed', 'fock', 'space', 'that', 'the', 'use', 'of', 'kappadeformed', 'oscillator', 'algebra', 'permits', 'to', 'preserve', 'the', 'bosonic', 'statistics', 'of', 'nparticle', 'states', 'the', 'proposed', 'star', 'product', 'is', 'extended', 'to', 'the', 'product', 'of', 'n', 'fields', 'which', 'for', 'n4', 'defines', 'the', 'interaction', 'vertex', 'in', 'perturbative', 'description', 'of', 'noncommutative', 'quantum', 'lambdaphi4', 'field', 'theory', 'it', 'appears', 'that', 'the', 'classical', 'fourmomentum', 'conservation', 'law', 'is', 'satisfied', 'at', 'the', 'interaction', 'vertices']] | [-0.1873733538833731, 0.2207768882330877, -0.0835975863217832, 0.0886439768628858, -0.08245008700388542, -0.12157878609281694, -0.0527554941512248, 0.3068220659641298, -0.25735637218301705, -0.24166983977647116, -0.005721069677528126, -0.22324142132954694, -0.16140290178153796, 0.14532924649563242, -0.07734184293406653, -0.007272170196082575, 0.03888931647207297, 0.09799569451864412, -0.11909362041153648, -0.22899569166619463, 0.43722732844993684, 0.03309313121833013, 0.2731261154511243, -0.028979265580204784, 0.1684664334731956, 0.07162561151033915, -0.0016922100070626178, -0.012472427469316592, -0.14018455359680002, 0.08894826913316872, 0.18621698656063262, 0.08605897085450537, 0.16747249921136503, -0.4011448328416293, -0.13455338655568078, 0.08059547052236525, 0.13442310743060307, 0.1051652481232882, -0.005266811422911201, -0.29348950790231454, -0.033143314374412626, -0.22279246364462565, -0.17969968164808625, -0.1052927587884982, 0.019002077152377905, -0.059185060997764376, -0.255739686130513, 0.08330603319398583, 0.0524615293743538, 0.02830410833823072, -0.0875732753663621, -0.05081342272328358, -0.06470647782866731, 0.07746255993331182, -0.01893948589068514, 0.02503844038319133, 0.17107153026360675, -0.14298174758805027, -0.1254452007380149, 0.3723938895112022, -0.033636420334405295, -0.23995286296286905, 0.08652605484272782, -0.21237271864310647, -0.14092324696917166, 0.05870129264138164, 0.052481404641075126, 0.09124004199106209, -0.1332221401670406, 0.23894554413508307, -0.024814153745265164, 0.08736758796722753, 0.10607192992292186, 0.051147044448063096, 0.16836530965396224, 0.0397834102325934, 0.03390269241698667, 0.1792876357972252, 0.000982945368803562, -0.19474635120639774, -0.414001890266618, -0.17857652444124936, -0.1850526541593676, 0.14096856383435058, -0.14583468169006122, -0.1801990067337785, 0.38420994489301813, 0.14335239087586482, 0.11895544020209713, 0.025617616502931408, 0.19553031591064435, 0.19948827197233623, 0.11768093231259615, 0.04255788916299212, 0.2358434406185113, 0.2729227652902061, 0.07115736472294897, -0.22048082998755605, -0.14094552269588548, 0.16964984020376775] |
708.1562 | Products in Residue Classes | We consider a problem of P. Erdos, A. M. Odlyzko and A. Sarkozy about the
representation of residue classes modulo m by products of two not too large
primes. While it seems that even the Extended Riemann Hypothesis is not
powerful enough to achieve the expected results, here we obtain some
unconditional results ``on average'' over moduli m and residue classes modulo m
and somewhat stronger results when the average is restricted to prime moduli m
= p. We also consider the analogous question wherein the primes are replaced by
easier sequences so, quite naturally, we obtain much stronger results.
| math.NT | we consider a problem of p erdos a m odlyzko and a sarkozy about the representation of residue classes modulo m by products of two not too large primes while it seems that even the extended riemann hypothesis is not powerful enough to achieve the expected results here we obtain some unconditional results on average over moduli m and residue classes modulo m and somewhat stronger results when the average is restricted to prime moduli m p we also consider the analogous question wherein the primes are replaced by easier sequences so quite naturally we obtain much stronger results | [['we', 'consider', 'a', 'problem', 'of', 'p', 'erdos', 'a', 'm', 'odlyzko', 'and', 'a', 'sarkozy', 'about', 'the', 'representation', 'of', 'residue', 'classes', 'modulo', 'm', 'by', 'products', 'of', 'two', 'not', 'too', 'large', 'primes', 'while', 'it', 'seems', 'that', 'even', 'the', 'extended', 'riemann', 'hypothesis', 'is', 'not', 'powerful', 'enough', 'to', 'achieve', 'the', 'expected', 'results', 'here', 'we', 'obtain', 'some', 'unconditional', 'results', 'on', 'average', 'over', 'moduli', 'm', 'and', 'residue', 'classes', 'modulo', 'm', 'and', 'somewhat', 'stronger', 'results', 'when', 'the', 'average', 'is', 'restricted', 'to', 'prime', 'moduli', 'm', 'p', 'we', 'also', 'consider', 'the', 'analogous', 'question', 'wherein', 'the', 'primes', 'are', 'replaced', 'by', 'easier', 'sequences', 'so', 'quite', 'naturally', 'we', 'obtain', 'much', 'stronger', 'results']] | [-0.17536104887234744, 0.12947067680458227, -0.12588435299506393, 0.16945701255463064, -0.05966843921465404, -0.1724118445576592, 0.05516775213229009, 0.3122000626283651, -0.26642051266713274, -0.31102040270813786, 0.07076128756843808, -0.22978570256758518, -0.13462568584105206, 0.22835458311572143, -0.11758879373188723, 0.007918950294925257, 0.07930270607837221, 0.09159075401046059, -0.040516239233465506, -0.36271052681982063, 0.34513930493678824, 0.010127186638801688, 0.19260548367494285, 0.03848047541322732, 0.01914579588731732, 0.014537798979253782, -0.014463639709947988, 0.03232367224803175, -0.15271484681013842, 0.12660093172665007, 0.27449887617952146, 0.08605798385153064, 0.2682480716118307, -0.39773764538418765, -0.12494122430757441, 0.2132700204971538, 0.1337631969910228, 0.02547113901601559, 0.006347370591494396, -0.22516675772747458, 0.20420485421676526, -0.12417907279097673, -0.11537972779361287, -0.07891613459026423, 0.09466379481094955, 0.0030269519457678225, -0.27647237514493744, 0.0028026327417312057, 0.1700388783579598, 0.06643775863704657, -0.06135798005782293, -0.19517166988754814, 0.0344619761983102, 0.027039564557131284, 0.07730024389104184, 0.04499945795690321, 0.03484370603197903, -0.09576201673145547, -0.05525622618469325, 0.3675582619252229, -0.05908118058560473, -0.20637860222522056, 0.16568163714390435, -0.17517144459704256, -0.14526031089645594, 0.1422492785548622, 0.06747538647191091, 0.19226074665126325, -0.030218847795193217, 0.13069357225410358, -0.1591631973143479, 0.17682224608054667, 0.13928811250706064, 0.003795382811339817, 0.13757874754861918, 0.04749037782341769, 0.09514628384600986, 0.14294532313472544, -0.020443528827110476, -0.021568360141092778, -0.28312109357141185, -0.1512764819393245, -0.17195357307744674, 0.1742470664859425, -0.08088110706658982, -0.09116173216795567, 0.3078810541391975, 0.10350944662015095, 0.200466126458122, 0.16462410240895067, 0.2163135373466319, 0.05582802209325812, 0.06848851850637319, 0.08672860140836976, 0.13068011101726865, 0.17395346879375853, 0.01595275729748825, -0.1196178232761796, 0.042318852832352725, 0.10764773367819461] |
708.1563 | On the ground state of quantum layers | We provide some new results of the ground state of quantum layers.
| math.DG math-ph math.MP | we provide some new results of the ground state of quantum layers | [['we', 'provide', 'some', 'new', 'results', 'of', 'the', 'ground', 'state', 'of', 'quantum', 'layers']] | [-0.15703681639085212, 0.1667050962569192, -0.0683386605232954, 0.00170579149077336, -0.03216714241231481, -0.10328665655106306, 0.11358674241152282, 0.34273653229077655, -0.2521322158475717, -0.2615706077776849, 0.07128263881895691, -0.27641956601291895, -0.131790057135125, 0.22244959076245627, 0.0028637762491901717, 0.1176356536646684, 0.1438202646871408, 0.05045568227311984, -0.09257548147191604, -0.2848491754072408, 0.4054126087576151, -0.016151929245097563, 0.2388291240980228, 0.09968697962661584, 0.08170568554972608, -0.07693041709717363, 0.12854977953247726, -0.02809660354008277, -0.22181635163724422, 0.19964468851685524, 0.21644333905229965, 0.15669207399090132, 0.21753573697060347, -0.5521098474661509, -0.17656783014535904, -0.021101801345745724, 0.030098645171771448, 0.2454765437481304, -0.10119801371668775, -0.39759358515342075, 0.09432844662417968, -0.1831602439439545, -0.11728234340747197, -0.20135080985104045, -0.15709959405163923, 0.00982073973864317, -0.1897457088343799, 0.026058651312875252, 0.11363506932199623, 0.038449311609535165, -0.14622334212375185, -0.21200724939505258, 0.05485533488293489, 0.2625606302559997, -0.03777970435718695, -0.02003754461960246, 0.010193233417036632, -0.23568458730975786, -0.1776474021996061, 0.29222957231104374, -0.05124256806448102, -0.14569404915285608, 0.21274002672483525, -0.08897282392717898, -0.1271909320106109, 0.05582348738486568, 0.1307334629042695, 0.10684049502015114, -0.05867046800752481, 0.01174594221326212, -0.09522495636095603, 0.17758543541034064, -0.08863543362046282, 0.18569103201540807, 0.15926567340890566, 0.14943003840744495, 0.11831083078868687, 0.2450319510147286, -0.17097509924011925, -0.1522747821485003, -0.3496811166405678, -0.30569853928561014, -0.1798403337597847, 0.05176054903616508, -0.06014976650476456, -0.17332966377337775, 0.4871922818322976, 0.18655504775233567, 0.23356334298538664, -0.0117710722455134, 0.1984097429861625, 0.10576542746275663, -0.05178375821560621, 0.05938521938514896, 0.2746614796463594, 0.160360555901813, 0.07101491085874538, -0.14399662303427854, 0.03430618570807079, 0.0389098305022344] |
708.1564 | Learning Phonotactics Using ILP | This paper describes experiments on learning Dutch phonotactic rules using
Inductive Logic Programming, a machine learning discipline based on inductive
logical operators. Two different ways of approaching the problem are
experimented with, and compared against each other as well as with related work
on the task. The results show a direct correspondence between the quality and
informedness of the background knowledge and the constructed theory,
demonstrating the ability of ILP to take good advantage of the prior domain
knowledge available. Further research is outlined.
| cs.CL | this paper describes experiments on learning dutch phonotactic rules using inductive logic programming a machine learning discipline based on inductive logical operators two different ways of approaching the problem are experimented with and compared against each other as well as with related work on the task the results show a direct correspondence between the quality and informedness of the background knowledge and the constructed theory demonstrating the ability of ilp to take good advantage of the prior domain knowledge available further research is outlined | [['this', 'paper', 'describes', 'experiments', 'on', 'learning', 'dutch', 'phonotactic', 'rules', 'using', 'inductive', 'logic', 'programming', 'a', 'machine', 'learning', 'discipline', 'based', 'on', 'inductive', 'logical', 'operators', 'two', 'different', 'ways', 'of', 'approaching', 'the', 'problem', 'are', 'experimented', 'with', 'and', 'compared', 'against', 'each', 'other', 'as', 'well', 'as', 'with', 'related', 'work', 'on', 'the', 'task', 'the', 'results', 'show', 'a', 'direct', 'correspondence', 'between', 'the', 'quality', 'and', 'informedness', 'of', 'the', 'background', 'knowledge', 'and', 'the', 'constructed', 'theory', 'demonstrating', 'the', 'ability', 'of', 'ilp', 'to', 'take', 'good', 'advantage', 'of', 'the', 'prior', 'domain', 'knowledge', 'available', 'further', 'research', 'is', 'outlined']] | [-0.039006676364113535, -0.007840718636067496, -0.05744517917212631, 0.05053674533874506, -0.1621588573464015, -0.13867433274918722, 0.06852845229427441, 0.38721167599959744, -0.24558736755889618, -0.3503203222395054, 0.09335517272466816, -0.25480067602170275, -0.1484380855690688, 0.24201332257750133, -0.09844201319806632, 0.07571743216942109, 0.09003678501938425, 0.08380426769144833, -0.06915476844490816, -0.24193148053295555, 0.34723396841547494, 0.031209209944964164, 0.3695314916604686, 0.0629589604546449, 0.12475808249187789, 0.0064957999081040425, -0.06478462904314733, 0.027015989646315575, -0.07894150244482305, 0.1849101031451331, 0.3300605691121226, 0.2203614272210481, 0.3146690568565169, -0.44503892907163217, -0.1701919814305646, 0.016569104854993168, 0.09889475385924536, 0.09458828139828429, -0.022271058583144276, -0.3266280254881297, 0.049509723213434755, -0.17864750082870678, 0.0005963801273277827, -0.11238778232862907, -0.0505540441732765, 0.006682913384533354, -0.23058539004774675, -0.03771372588761594, 0.12715673533828176, 0.09437048125601862, -0.06440854686245855, -0.16718169463621008, 0.046407363164083414, 0.1564682295623546, 0.06687790114111045, 0.04958643504817571, 0.12264961795327031, -0.11799857321672053, -0.2333420555972095, 0.3508519359997341, -0.059458698108625994, -0.1950022439317157, 0.2251897167907806, -0.04100933672106337, -0.14088246467456753, 0.0018773202207826433, 0.16509429614857904, 0.11800083839556291, -0.1247256639125269, 0.08387558216885996, -0.017900780752478612, 0.18744539281552924, 0.06792273908476568, -0.0038784721566896352, 0.19475368532307802, 0.23917235888629443, 0.009701926036671336, 0.15265456035281422, -0.017804854485716316, -0.10576026931050278, -0.27779522825897274, -0.1111711614898273, -0.18791964598044397, -0.03300777288885521, -0.07572799534422561, -0.12728773912281863, 0.37691984449823696, 0.20058788886360293, 0.16562540980001877, 0.11035669825616337, 0.35074762241648777, 0.05814256248274995, 0.07624418597524277, 0.035575362082454376, 0.19825903902805986, 0.09020561902850334, 0.12425912724297848, -0.19860763685470115, 0.07921955494454042, 0.03934721482662661] |
708.1565 | Study of Resonances in Exclusive B Decays to Dbar(*)D(*)K | We present a study of resonances in exclusive decays of $B$ mesons to
$\bar{D}^{(*)} D^{(*)} K$. We report the observation of the decays $B \to
\Dbar^{(*)} D^+_{s1}(2536)$ where the $D^+_{s1}(2536)$ is reconstructed in the
$D^{*0}K^+$ and $D^{*+} K^0_S$ decay channels. We report also the observation
of the decays $B \to \psi(3770) K$ where the $\psi(3770)$ decays to $\Dbar^0
D^0$ and $D^- D^+$. In addition, we present the observation of an enhancement
for the $\Dbar^{*0} D^0$ invariant mass in the decays $B \to \Dbar^{*0} D^0 K$,
at a mass of $(3875.1 {}^{+0.7}_{-0.5} \pm 0.5)$ MeV/$c^2$ with a width of
$(3.0 {}^{+1.9}_{-1.4} \pm 0.9)$ MeV (the first errors are statistical and the
second are systematic). Branching fractions and spin studies are shown for the
three resonances. The results are based on 347 fb$^{-1}$ of data collected with
the BaBar detector at the PEP-II $B$ factory.
| hep-ex | we present a study of resonances in exclusive decays of b mesons to bard d k we report the observation of the decays b to dbar d_s12536 where the d_s12536 is reconstructed in the d0k and d k0_s decay channels we report also the observation of the decays b to psi3770 k where the psi3770 decays to dbar0 d0 and d d in addition we present the observation of an enhancement for the dbar0 d0 invariant mass in the decays b to dbar0 d0 k at a mass of 38751 07_05 pm 05 mevc2 with a width of 30 19_14 pm 09 mev the first errors are statistical and the second are systematic branching fractions and spin studies are shown for the three resonances the results are based on 347 fb1 of data collected with the babar detector at the pepii b factory | [['we', 'present', 'a', 'study', 'of', 'resonances', 'in', 'exclusive', 'decays', 'of', 'b', 'mesons', 'to', 'bard', 'd', 'k', 'we', 'report', 'the', 'observation', 'of', 'the', 'decays', 'b', 'to', 'dbar', 'd_s12536', 'where', 'the', 'd_s12536', 'is', 'reconstructed', 'in', 'the', 'd0k', 'and', 'd', 'k0_s', 'decay', 'channels', 'we', 'report', 'also', 'the', 'observation', 'of', 'the', 'decays', 'b', 'to', 'psi3770', 'k', 'where', 'the', 'psi3770', 'decays', 'to', 'dbar0', 'd0', 'and', 'd', 'd', 'in', 'addition', 'we', 'present', 'the', 'observation', 'of', 'an', 'enhancement', 'for', 'the', 'dbar0', 'd0', 'invariant', 'mass', 'in', 'the', 'decays', 'b', 'to', 'dbar0', 'd0', 'k', 'at', 'a', 'mass', 'of', '38751', '07_05', 'pm', '05', 'mevc2', 'with', 'a', 'width', 'of', '30', '19_14', 'pm', '09', 'mev', 'the', 'first', 'errors', 'are', 'statistical', 'and', 'the', 'second', 'are', 'systematic', 'branching', 'fractions', 'and', 'spin', 'studies', 'are', 'shown', 'for', 'the', 'three', 'resonances', 'the', 'results', 'are', 'based', 'on', '347', 'fb1', 'of', 'data', 'collected', 'with', 'the', 'babar', 'detector', 'at', 'the', 'pepii', 'b', 'factory']] | [-0.12577571493122688, 0.2245332943218808, -0.06766697059629868, 0.03452326276534442, -0.01190032162360933, -0.1454744413990448, 0.10013032533271331, 0.29535361883356004, -0.18460123011089385, -0.2588030667777391, -0.034084247539136955, -0.4326638366419373, 0.04781114763798232, 0.09973378232944466, 0.09560103129252051, 0.12280256268799516, 0.12223110074864317, 0.03610340987351981, -0.061054511678550416, -0.18658905107765755, 0.2055792664285049, -0.024930447987313812, 0.15770927098982618, 0.1215427578129667, -0.05546823971746291, -0.03263778761871397, -0.039265072488404336, -0.11953635281282114, -0.21261741924396854, 0.028096777202019876, 0.20419714597866256, 0.1263242743633595, 0.12701072971871558, -0.259429594690099, 0.03251315081320333, 0.14903185833641824, 0.17577899794312232, 0.03692876735490793, -0.010362442507712396, -0.42533962062645886, 0.2098749946234814, -0.13325569335807194, -0.042794212087962434, -0.007332364440704069, 0.12307847798504729, -0.13101838529935594, -0.39202097141520775, 0.13432917948494374, -0.06427235863706533, 0.1073660280304492, -0.0255083441470109, -0.31022677409416394, 0.0017538028273810732, -0.01847949026958317, 0.06624800231512504, 0.10984996190882479, 0.16910056331267592, -0.06534192369629939, -0.1858119646381217, 0.35528094353854445, -0.09844414309056886, -0.12866089736104858, 0.14445267571961995, -0.2658073515135874, -0.11359794378439163, 0.19372261271329846, 0.2672422491674516, 0.06818041900265301, -0.1918255935574994, 0.1089535726957578, -0.04328365705854504, 0.18887920986781728, 0.071532114818428, 0.09054956642303166, 0.12491085098276958, 0.2127219592782517, -0.04571180055512393, 0.06802722690329749, -0.17385092536681035, 0.01925635232808108, -0.4021260986296156, -0.12865538720713585, -0.0730264638418477, 0.10800457315136355, 0.012588085643435228, -0.035446637596378554, 0.35578394348317005, 0.008196432064188288, 0.39158462962228147, 0.002158044282584748, 0.25966172950286154, 0.054492341063863844, 0.010514949899619274, 0.0842722659808392, 0.3212604499983449, 0.22503518307885378, 0.13933424001348252, -0.30619343923233905, 0.003877187413386406, -0.045062775163851834] |
708.1566 | Markov Chain Modelling for Reliability Estimation of Engineering Systems
at Different Scales - Some Considerations | The concepts of probability, statistics and stochastic theory are being
successfully used in structural engineering. Markov Chain modelling is a simple
stochastic process model that has found its application in both describing
stochastic evolution of system and in system reliability estimation. The recent
developments in Markov Chain Monte Carlo and the possible integration of
Bayesian theory within Markov Chain theory have enhanced its application
possibilities. However, the application possibility can be furthered to range
over wider scales of application (perhaps from nano- to macro-) by considering
the developments in Physics (in particular Quantum Physics). This paper tries
to present the results of quantum physics that would help in interpretation of
transition probability matrix. However, care has to be taken in the choice of
densities in computing the transition probability matrix. The paper is based on
available literature, and the aim is only to make an attempt to show how Markov
Chain can be used to model systems at various scales.
| stat.AP stat.ME | the concepts of probability statistics and stochastic theory are being successfully used in structural engineering markov chain modelling is a simple stochastic process model that has found its application in both describing stochastic evolution of system and in system reliability estimation the recent developments in markov chain monte carlo and the possible integration of bayesian theory within markov chain theory have enhanced its application possibilities however the application possibility can be furthered to range over wider scales of application perhaps from nano to macro by considering the developments in physics in particular quantum physics this paper tries to present the results of quantum physics that would help in interpretation of transition probability matrix however care has to be taken in the choice of densities in computing the transition probability matrix the paper is based on available literature and the aim is only to make an attempt to show how markov chain can be used to model systems at various scales | [['the', 'concepts', 'of', 'probability', 'statistics', 'and', 'stochastic', 'theory', 'are', 'being', 'successfully', 'used', 'in', 'structural', 'engineering', 'markov', 'chain', 'modelling', 'is', 'a', 'simple', 'stochastic', 'process', 'model', 'that', 'has', 'found', 'its', 'application', 'in', 'both', 'describing', 'stochastic', 'evolution', 'of', 'system', 'and', 'in', 'system', 'reliability', 'estimation', 'the', 'recent', 'developments', 'in', 'markov', 'chain', 'monte', 'carlo', 'and', 'the', 'possible', 'integration', 'of', 'bayesian', 'theory', 'within', 'markov', 'chain', 'theory', 'have', 'enhanced', 'its', 'application', 'possibilities', 'however', 'the', 'application', 'possibility', 'can', 'be', 'furthered', 'to', 'range', 'over', 'wider', 'scales', 'of', 'application', 'perhaps', 'from', 'nano', 'to', 'macro', 'by', 'considering', 'the', 'developments', 'in', 'physics', 'in', 'particular', 'quantum', 'physics', 'this', 'paper', 'tries', 'to', 'present', 'the', 'results', 'of', 'quantum', 'physics', 'that', 'would', 'help', 'in', 'interpretation', 'of', 'transition', 'probability', 'matrix', 'however', 'care', 'has', 'to', 'be', 'taken', 'in', 'the', 'choice', 'of', 'densities', 'in', 'computing', 'the', 'transition', 'probability', 'matrix', 'the', 'paper', 'is', 'based', 'on', 'available', 'literature', 'and', 'the', 'aim', 'is', 'only', 'to', 'make', 'an', 'attempt', 'to', 'show', 'how', 'markov', 'chain', 'can', 'be', 'used', 'to', 'model', 'systems', 'at', 'various', 'scales']] | [-0.05249557737333817, 0.11646413012722405, -0.09212433633219916, 0.0705299063757252, -0.06854753684601747, -0.11443721107498277, 0.03150436745854677, 0.39062509196810424, -0.3027613316779025, -0.31502124055405145, 0.1332954320088902, -0.24213328986079433, -0.16197632532566786, 0.19573539003904444, -0.0467163179491763, 0.08977458561348613, 0.0496518488653237, 0.025227844435721635, -0.05551876072458981, -0.21728602424263954, 0.266721624485217, 0.11268522149039199, 0.2914984319213545, 0.050464467820711435, 0.07750586335605476, 0.017325014478410596, -0.008738432088648551, 0.009552576540590963, -0.12548251923044518, 0.1279764969382086, 0.30273724418948406, 0.15572848007723222, 0.29298485607723707, -0.4483665230567567, -0.2520557160140015, 0.09416442756555625, 0.15796599349505414, 0.14284080791694578, -0.0250704089186911, -0.2638117195572704, 0.06414552541682497, -0.22498052305018063, -0.11684141732694116, -0.07489291436068016, -0.02241078194056172, 0.01711864140816033, -0.23610217754612678, 0.030307773855747656, 0.02851302289782325, 0.03936904687343486, 0.013653325055202004, -0.10015397693932755, 0.03473154107268783, 0.1344065525307087, 0.043594114147526855, 0.006470647710375488, 0.13161475974484346, -0.10542117311124458, -0.16785071501508356, 0.3604262492794078, -0.052640687380335296, -0.19502244925824924, 0.21557667258457514, -0.12594723239599262, -0.19447552158671896, 0.11253553908609319, 0.18695968125830403, 0.08190403836779296, -0.1888186361640692, 0.1404293958985363, 0.03485311518052185, 0.15181147197654354, -0.037516740029968784, 0.012704524581204168, 0.21847445933672133, 0.20352649020351238, 0.03400738396012457, 0.1273041887288855, -0.06638891171605792, -0.20614367085836421, -0.2676983667188324, -0.1532179516449105, -0.1907483852468431, 0.04734713655343512, -0.051803807637406864, -0.14389479722594842, 0.36179853416979313, 0.24831756350688466, 0.1568594560958445, 0.027058187473448923, 0.2447507389813836, 0.12937585681211203, 0.014554753093398176, 0.01172705039207358, 0.18931016480783, 0.172196315137262, 0.10600260071150842, -0.16498935037379853, 0.11908833887500805, 0.04458316143281991] |
708.1567 | Strings, Projected Entangled Pair States, and variational Monte Carlo
methods | We introduce string-bond states, a class of states obtained by placing
strings of operators on a lattice, which encompasses the relevant states in
Quantum Information. For string-bond states, expectation values of local
observables can be computed efficiently using Monte Carlo sampling, making them
suitable for a variational abgorithm which extends DMRG to higher dimensional
and irregular systems. Numerical results demonstrate the applicability of these
states to the simulation of many-body sytems.
| quant-ph cond-mat.str-el | we introduce stringbond states a class of states obtained by placing strings of operators on a lattice which encompasses the relevant states in quantum information for stringbond states expectation values of local observables can be computed efficiently using monte carlo sampling making them suitable for a variational abgorithm which extends dmrg to higher dimensional and irregular systems numerical results demonstrate the applicability of these states to the simulation of manybody sytems | [['we', 'introduce', 'stringbond', 'states', 'a', 'class', 'of', 'states', 'obtained', 'by', 'placing', 'strings', 'of', 'operators', 'on', 'a', 'lattice', 'which', 'encompasses', 'the', 'relevant', 'states', 'in', 'quantum', 'information', 'for', 'stringbond', 'states', 'expectation', 'values', 'of', 'local', 'observables', 'can', 'be', 'computed', 'efficiently', 'using', 'monte', 'carlo', 'sampling', 'making', 'them', 'suitable', 'for', 'a', 'variational', 'abgorithm', 'which', 'extends', 'dmrg', 'to', 'higher', 'dimensional', 'and', 'irregular', 'systems', 'numerical', 'results', 'demonstrate', 'the', 'applicability', 'of', 'these', 'states', 'to', 'the', 'simulation', 'of', 'manybody', 'sytems']] | [-0.1030186727776059, 0.16011327479832937, -0.09324714123005313, 0.09931785437677587, 0.0156770561389359, -0.12539688254972653, 0.08101693650241941, 0.33866241004850184, -0.25252371318804634, -0.27085660375388604, 0.09527801169647969, -0.25238410525822214, -0.09844744753624712, 0.22551873445263482, 0.014748076562370573, 0.13677608050659598, 0.1175431554604854, -0.00950769538592015, -0.13858973206952213, -0.23353786594567022, 0.3200675920217431, 0.04095544111083395, 0.24523425426533713, 0.011120850486414773, 0.09984536663895206, 0.03817065100052527, 0.03223148850458009, 0.04953782611659595, -0.12008784762583673, 0.1919080133874169, 0.2921993957400056, 0.08162575944193771, 0.23752467052212783, -0.4352378578856587, -0.2571150574167924, 0.05717445971178157, 0.13364356398316365, 0.19903803045329238, -0.022770809447060208, -0.3765172701595085, 0.049434186990505884, -0.1791671125085226, -0.12874019003273654, -0.1982213368772396, -0.04436907212116888, -0.012906811386346816, -0.305675456872476, 0.08850401473630752, -0.04071097163749593, 0.017169829231819936, -0.021903250472886222, -0.13364375101934586, -0.019172576463980868, 0.0917040849703231, -0.05273060381046629, -0.028319702576014346, 0.11993549315125815, -0.13353690194500295, -0.20166443057491312, 0.3373706933909229, -0.0009475647372060588, -0.21239353840438915, 0.22164318258208887, -0.09805147733672388, -0.15523587638911393, 0.0843000658920833, 0.14635836565867066, 0.17657567241694777, -0.11360918798350862, 0.11832144447918316, -0.029490318934300114, 0.13604186897365642, -0.013922220841050149, 0.0824141306004354, 0.1686477681921263, 0.11164229520862656, 0.07160512053274683, 0.1934198879586932, -0.06593176312453579, -0.21241023363545536, -0.2818366804825408, -0.15560682346778257, -0.24026262130854384, 0.0668499822994428, -0.0670952719401352, -0.17364700178482703, 0.40918951596000364, 0.18579829308852952, 0.1953354023596538, 0.07749257275302496, 0.20968976861664226, 0.12950449641128736, 0.07670281166210771, 0.08376059071826084, 0.1777239825975682, 0.15142241522470223, 0.007906520838982292, -0.20230499038838648, 0.004899764549918473, 0.10687313831544348] |
708.1568 | Nonlinear option pricing models for illiquid markets: scaling properties
and explicit solutions | Several models for the pricing of derivative securities in illiquid markets
are discussed. A typical type of nonlinear partial differential equations
arising from these investigation is studied. The scaling properties of these
equations are discussed. Explicit solutions for one of the models are obtained
and studied.
| q-fin.PR math.AP math.GR | several models for the pricing of derivative securities in illiquid markets are discussed a typical type of nonlinear partial differential equations arising from these investigation is studied the scaling properties of these equations are discussed explicit solutions for one of the models are obtained and studied | [['several', 'models', 'for', 'the', 'pricing', 'of', 'derivative', 'securities', 'in', 'illiquid', 'markets', 'are', 'discussed', 'a', 'typical', 'type', 'of', 'nonlinear', 'partial', 'differential', 'equations', 'arising', 'from', 'these', 'investigation', 'is', 'studied', 'the', 'scaling', 'properties', 'of', 'these', 'equations', 'are', 'discussed', 'explicit', 'solutions', 'for', 'one', 'of', 'the', 'models', 'are', 'obtained', 'and', 'studied']] | [-0.16075313761425408, 0.03876069313644067, -0.021420255432452035, 0.16291992112984072, -0.07947619546852681, -0.13466233220558776, -0.04343084999076698, 0.34914560996643873, -0.2806253426748773, -0.24342445474441932, 0.22511529113398865, -0.334779008180308, -0.14221175719538462, 0.2560762876401777, -0.026384464485327833, 0.08602001581786443, -0.020584153254394947, -0.00393421773839256, -0.05865030850121832, -0.2452444301351257, 0.34899505600333214, -0.06500841328955215, 0.21434052243990742, -0.01965736508693384, 0.1323301764610021, -0.084672272377445, -0.10963422143022003, 0.0490143397094115, -0.20711233966943363, 0.14873590709580836, 0.28824752887521754, 0.04076480113334306, 0.25993985516280466, -0.46887864727202966, -0.24535858106758932, 0.043848321347942816, 0.04203471030189615, 0.0812074137730119, -0.06441807032198361, -0.2663445863062921, 0.03743483903615371, -0.19652551040053368, -0.1744882034684491, -0.09882593300679456, 0.006465828228417946, 0.12521488021087387, -0.26302872055574605, 0.10764337227801266, 0.040256353662065834, 0.04025967308299859, -0.11735422421833905, -0.18683463173068088, -0.048099501848058855, 0.06985475240356248, 0.12442051461877544, -0.1673087203854938, 0.04202680780714297, -0.1852710735882916, -0.16981068435732438, 0.38698463133819727, -0.0234700919776831, -0.21719887949850247, 0.14623946933399723, -0.10899983025560885, -0.14515533430866248, 0.11044019080252285, 0.18338278756962847, 0.14113069714411444, -0.24220591534496003, 0.10986162244175236, -0.029335232228850542, 0.07881527066068805, 0.06554442564146998, 0.035317633766680956, 0.11148139378865776, 0.146280898510114, 0.008617948801459177, 0.11937034285991736, 0.026502090728963198, -0.2569187365512809, -0.32843969600356143, -0.09590848344985557, -0.053880185334254864, 0.05044457202007913, -0.11118065137397144, -0.15733459919853054, 0.38050134334227315, 0.10853546906424605, 0.11301381363654914, 0.03746009832653015, 0.21048888989278805, 0.2632929894607514, -0.001471456929879344, -9.129638783633709e-06, 0.2211085512586262, 0.11670232695810821, 0.1293388619695021, -0.1865148426124664, 0.11277081930766934, 0.09245798705429163] |
708.1569 | Electric Transport Theory of Dirac Fermions in Graphene | Using the self-consistent Born approximation to the Dirac fermions under
finite-range impurity scatterings, we show that the current-current correlation
function is determined by four-coupled integral equations. This is very
different from the case for impurities with short-range potentials. As a test
of the present approach, we calculate the electric conductivity in graphene for
charged impurities with screened Coulomb potentials. The obtained conductivity
at zero temperature varies linearly with the carrier concentration, and the
minimum conductivity at zero doping is larger than the existing theoretical
predictions, but still smaller than that of the experimental measurement. The
overall behavior of the conductivity obtained by the present calculation at
room temperature is similar to that at zero temperature except the minimum
conductivity is slightly larger.
| cond-mat.str-el | using the selfconsistent born approximation to the dirac fermions under finiterange impurity scatterings we show that the currentcurrent correlation function is determined by fourcoupled integral equations this is very different from the case for impurities with shortrange potentials as a test of the present approach we calculate the electric conductivity in graphene for charged impurities with screened coulomb potentials the obtained conductivity at zero temperature varies linearly with the carrier concentration and the minimum conductivity at zero doping is larger than the existing theoretical predictions but still smaller than that of the experimental measurement the overall behavior of the conductivity obtained by the present calculation at room temperature is similar to that at zero temperature except the minimum conductivity is slightly larger | [['using', 'the', 'selfconsistent', 'born', 'approximation', 'to', 'the', 'dirac', 'fermions', 'under', 'finiterange', 'impurity', 'scatterings', 'we', 'show', 'that', 'the', 'currentcurrent', 'correlation', 'function', 'is', 'determined', 'by', 'fourcoupled', 'integral', 'equations', 'this', 'is', 'very', 'different', 'from', 'the', 'case', 'for', 'impurities', 'with', 'shortrange', 'potentials', 'as', 'a', 'test', 'of', 'the', 'present', 'approach', 'we', 'calculate', 'the', 'electric', 'conductivity', 'in', 'graphene', 'for', 'charged', 'impurities', 'with', 'screened', 'coulomb', 'potentials', 'the', 'obtained', 'conductivity', 'at', 'zero', 'temperature', 'varies', 'linearly', 'with', 'the', 'carrier', 'concentration', 'and', 'the', 'minimum', 'conductivity', 'at', 'zero', 'doping', 'is', 'larger', 'than', 'the', 'existing', 'theoretical', 'predictions', 'but', 'still', 'smaller', 'than', 'that', 'of', 'the', 'experimental', 'measurement', 'the', 'overall', 'behavior', 'of', 'the', 'conductivity', 'obtained', 'by', 'the', 'present', 'calculation', 'at', 'room', 'temperature', 'is', 'similar', 'to', 'that', 'at', 'zero', 'temperature', 'except', 'the', 'minimum', 'conductivity', 'is', 'slightly', 'larger']] | [-0.10743440665143027, 0.20980442399236043, -0.0637149216283944, 0.03361862447220555, 0.02328425616964944, -0.18037851830205517, 0.05603373990478841, 0.34982733429632773, -0.21402043490555167, -0.26466860733387515, -0.013861388850318315, -0.37853662423358475, -0.07670220878929639, 0.1586350283108282, 0.05826796275709779, 0.009123103723915156, 0.003215428788122559, 0.02391291257717516, -0.1397586873336118, -0.24033326603287508, 0.2952066362442926, 0.07837780098592446, 0.2910593774492952, 0.14410336112963373, 0.016626606102694164, 0.04086323640086065, 0.07647784619230377, 0.07577464543282986, -0.1314727298381776, 0.023461837597164394, 0.21421250253954272, -0.10000958810137077, 0.18153426216237925, -0.413967071778395, -0.21627385071421057, 0.026635793768916248, 0.12230114951491171, 0.15056719965001275, -0.06784728321069775, -0.2271425890878674, 0.08148664434744461, -0.12457308046181094, -0.17359335636643092, -0.0679585428635228, 0.029609838181198382, -0.022475082975666017, -0.2796618837462969, 0.16437372067666128, -0.019582628695802254, 0.05351883176067644, -0.13482872110960836, -0.21410240652039647, -0.03169255668474438, 0.05356527335002772, 0.07929797467490858, 0.04282233767088287, 0.1819416245384034, -0.13203884432792726, -0.022548665057325137, 0.37737550368640294, -0.12201671773872785, -0.14140250780576386, 0.17150167333085306, -0.21687902458597066, -0.022762190600595443, 0.17650394189394703, 0.0889691198918168, 0.11462041155304298, -0.18335056450402687, 0.09015120753647052, -0.014282744639545432, 0.14570531527192354, 0.05381380067368554, 0.01907703293148767, 0.20572343419261724, 0.16311155923850035, 0.07719670112960594, 0.13735119809111782, -0.08931074735962531, -0.04532685538961683, -0.2762064185947919, -0.07874810994287168, -0.2536701292168996, 0.0791066526858644, -0.11448392521362455, -0.1861092041839253, 0.38546631001402654, 0.19630774077459062, 0.18025627229093336, 0.08750019105793985, 0.2984320854321738, 0.2072829569965093, 0.11632605290140434, 0.06360656692269297, 0.27082842725814005, 0.1424970055472352, 0.12124789359956241, -0.31061451746466423, 0.04725575164991839, 0.03348623347576431] |
708.157 | Theoretical analysis of magnetic force microscopy contrast in
multidomain states of magnetic superlattices with perpendicular anisotropy | Recently synthesized magnetic multilayers with strong perpendicular
anisotropy exhibit unique magnetic properties including the formation of
specific multidomain states. In particular, antiferromagnetically coupled
multilayers own rich phase diagrams that include various multidomain ground
states. Analytical equations have been derived for the stray-field components
of these multidomain states in perpendicular multilayer systems. In particular,
closed expressions for stray fields in the case of ferromagnetic and
antiferromagnetic stripes are presented. The theoretical approach provides a
basis for the analysis of magnetic force microscopy (MFM) images from this
novel class of nanomagnetic systems. Peculiarities of the MFM contrast have
been calculated for realistic tip models. These characteristic features in the
MFM signals can be employed for the investigations of the different multidomain
modes. The obtained results are applied for the analysis of multidomain modes
that have been reported earlier in the literature from experiments on [Co/Cr]Ru
superlattices.
| cond-mat.mes-hall | recently synthesized magnetic multilayers with strong perpendicular anisotropy exhibit unique magnetic properties including the formation of specific multidomain states in particular antiferromagnetically coupled multilayers own rich phase diagrams that include various multidomain ground states analytical equations have been derived for the strayfield components of these multidomain states in perpendicular multilayer systems in particular closed expressions for stray fields in the case of ferromagnetic and antiferromagnetic stripes are presented the theoretical approach provides a basis for the analysis of magnetic force microscopy mfm images from this novel class of nanomagnetic systems peculiarities of the mfm contrast have been calculated for realistic tip models these characteristic features in the mfm signals can be employed for the investigations of the different multidomain modes the obtained results are applied for the analysis of multidomain modes that have been reported earlier in the literature from experiments on cocrru superlattices | [['recently', 'synthesized', 'magnetic', 'multilayers', 'with', 'strong', 'perpendicular', 'anisotropy', 'exhibit', 'unique', 'magnetic', 'properties', 'including', 'the', 'formation', 'of', 'specific', 'multidomain', 'states', 'in', 'particular', 'antiferromagnetically', 'coupled', 'multilayers', 'own', 'rich', 'phase', 'diagrams', 'that', 'include', 'various', 'multidomain', 'ground', 'states', 'analytical', 'equations', 'have', 'been', 'derived', 'for', 'the', 'strayfield', 'components', 'of', 'these', 'multidomain', 'states', 'in', 'perpendicular', 'multilayer', 'systems', 'in', 'particular', 'closed', 'expressions', 'for', 'stray', 'fields', 'in', 'the', 'case', 'of', 'ferromagnetic', 'and', 'antiferromagnetic', 'stripes', 'are', 'presented', 'the', 'theoretical', 'approach', 'provides', 'a', 'basis', 'for', 'the', 'analysis', 'of', 'magnetic', 'force', 'microscopy', 'mfm', 'images', 'from', 'this', 'novel', 'class', 'of', 'nanomagnetic', 'systems', 'peculiarities', 'of', 'the', 'mfm', 'contrast', 'have', 'been', 'calculated', 'for', 'realistic', 'tip', 'models', 'these', 'characteristic', 'features', 'in', 'the', 'mfm', 'signals', 'can', 'be', 'employed', 'for', 'the', 'investigations', 'of', 'the', 'different', 'multidomain', 'modes', 'the', 'obtained', 'results', 'are', 'applied', 'for', 'the', 'analysis', 'of', 'multidomain', 'modes', 'that', 'have', 'been', 'reported', 'earlier', 'in', 'the', 'literature', 'from', 'experiments', 'on', 'cocrru', 'superlattices']] | [-0.14606702758220735, 0.12129346564838701, -0.06715699662356735, 0.021418677459770514, -0.05978772331882346, -0.10923520876485464, -0.042240197686038886, 0.4214165415549716, -0.22587950364198092, -0.3096446913595383, 0.02497381473349251, -0.2749141103855067, -0.13781236032336638, 0.2525247542734642, 0.07365045280006903, 0.07137379516241746, 0.03023264045384224, -0.02699675166269543, -0.056921747373091386, -0.18497928850583967, 0.2967496771052792, -0.0470318662302269, 0.38262225631494207, 0.023545079701742924, 0.03338259909061025, -0.041207673705436966, 0.08010880137513672, 0.06792216313517672, -0.16224867166429058, 0.08214881253277438, 0.2501109159168988, -0.021953899271695033, 0.17764841016850896, -0.513331734529742, -0.26623233902704463, 0.005731810522558806, 0.16889498564023916, 0.1760223130207066, -0.10748830364473243, -0.313963142720253, 0.0987792227228361, -0.09517288090778397, -0.09430062360581258, -0.1655551042844105, -0.009533708930582172, 0.07459844748157408, -0.24721584094271482, 0.08641624899737381, 0.07875056771994601, 0.1328198452434548, -0.14786816996659016, -0.15772657570188175, -0.04573450108316004, 0.12611542929002975, 0.0366376226465055, 0.04505200719890686, 0.11883659288287163, -0.11811037515811101, -0.1580904667246175, 0.3124384128723059, -0.041225764060301796, -0.15845188183931413, 0.2100226421420417, -0.1453440613797182, -0.1359943937301844, 0.13155241184574845, 0.1685524641054233, 0.15945933203024049, -0.16731546795764168, 0.07685632737950988, -0.027672247908247464, 0.14528245596586356, 0.04944149286720667, 0.05701410591641402, 0.24607553126590026, 0.15400383344662566, -0.030755312980278445, 0.1818173021945933, -0.12659473850561137, -0.07609894289146665, -0.18527629264993462, -0.13471814336164015, -0.18949826462585087, -0.02886558455493223, -0.0523585599318588, -0.19474545299642151, 0.4186745097346187, 0.1653809274427334, 0.1367625626969441, -0.07927786344271544, 0.27778277741549734, 0.06520832414002893, 0.09935900128700516, -0.01584919311930067, 0.2810059110511915, 0.18689389046203422, 0.1440086160148201, -0.23443782405107172, 0.07933183007391652, -0.013146968467252237] |
708.1571 | Symmetries of quadratic forms classes and of quadratic surds continued
fractions. Part I: A Poincar\'e model for the de Sitter world | The problem of the classification of the indefinite binary quadratic forms
with integer coefficients is solved introducing a special partition of the de
Sitter world, where the coefficients of the forms lie, into separate domains.
Every class of indefinite forms, under the action of the special linear group
acting on the integer plane lattice, has a finite and well defined number of
representatives inside each one of such domains. This property belongs
exclusively to rational points on the one-sheeted hyperboloid. In the second
part we will show how to obtain the symmetry type of a class as well as its
number of points in all domains from a sole representative of that class.
| math.NT math.GM | the problem of the classification of the indefinite binary quadratic forms with integer coefficients is solved introducing a special partition of the de sitter world where the coefficients of the forms lie into separate domains every class of indefinite forms under the action of the special linear group acting on the integer plane lattice has a finite and well defined number of representatives inside each one of such domains this property belongs exclusively to rational points on the onesheeted hyperboloid in the second part we will show how to obtain the symmetry type of a class as well as its number of points in all domains from a sole representative of that class | [['the', 'problem', 'of', 'the', 'classification', 'of', 'the', 'indefinite', 'binary', 'quadratic', 'forms', 'with', 'integer', 'coefficients', 'is', 'solved', 'introducing', 'a', 'special', 'partition', 'of', 'the', 'de', 'sitter', 'world', 'where', 'the', 'coefficients', 'of', 'the', 'forms', 'lie', 'into', 'separate', 'domains', 'every', 'class', 'of', 'indefinite', 'forms', 'under', 'the', 'action', 'of', 'the', 'special', 'linear', 'group', 'acting', 'on', 'the', 'integer', 'plane', 'lattice', 'has', 'a', 'finite', 'and', 'well', 'defined', 'number', 'of', 'representatives', 'inside', 'each', 'one', 'of', 'such', 'domains', 'this', 'property', 'belongs', 'exclusively', 'to', 'rational', 'points', 'on', 'the', 'onesheeted', 'hyperboloid', 'in', 'the', 'second', 'part', 'we', 'will', 'show', 'how', 'to', 'obtain', 'the', 'symmetry', 'type', 'of', 'a', 'class', 'as', 'well', 'as', 'its', 'number', 'of', 'points', 'in', 'all', 'domains', 'from', 'a', 'sole', 'representative', 'of', 'that', 'class']] | [-0.17888524282756632, 0.07809830932729606, -0.04816344720764761, -0.0013649484670135827, -0.12606798462668614, -0.08797124302245479, 0.006748435029809454, 0.2911476857581102, -0.3124803439260716, -0.23525869663376198, 0.1388261782178507, -0.2616146322941424, -0.1689051846454365, 0.20628109457284477, -0.03981011759374389, 0.023122841087932312, -0.0019170754523206073, 0.12511418306936337, -0.09987064432641245, -0.2821768887538825, 0.3972263639479612, -0.04804613726394894, 0.21302577715358836, -0.01030823596458536, 0.13056009300300372, 0.0447767826242257, 0.02449353767530086, 0.0337502447377264, -0.07801094961970008, 0.10172859393987409, 0.27486376957638203, 0.07879514590861787, 0.26968029817253086, -0.3734881506881994, -0.17825406282085232, 0.15597194188431038, 0.0993480573828637, 0.04922453981651142, -0.0278456988971087, -0.24348955962959412, 0.06998106188334492, -0.13351488548569976, -0.15835094194760366, -0.013092177400810529, 0.025242059707921823, 0.030200665940291586, -0.2502279095351696, 0.018500939788362755, 0.0804562730471546, 0.06459352437538647, -0.10702467559470046, -0.13254580225597704, -0.0499333679156823, 0.12566945449638683, 0.01951980234568823, 0.018121516593707216, 0.06669957277754454, -0.1030061407472147, -0.11684921531488839, 0.4299249896631304, -0.052331513634561434, -0.269763894576942, 0.16331469898928055, -0.15101222017835578, -0.1650096521181244, 0.08235554411529308, 0.17842175833782, 0.17281235083401927, -0.056548227382972174, 0.18037558879355067, -0.10764795810445747, 0.11835390943992652, 0.09760196164118505, -0.00449812466245705, 0.1891851851024327, 0.09538737370063906, 0.09521330116250742, 0.18692004238873455, -0.017003114300211314, -0.10254017196480283, -0.358505861380393, -0.19278137138591403, -0.2004431414117097, 0.06655674013494621, -0.10393592967861436, -0.24061022324701853, 0.41040966719125227, 0.018235896062930072, 0.23300224883415926, 0.04674269175115742, 0.19442903398808126, 0.1097625695569214, 0.10959646188184223, 0.042775209024713365, 0.1507608449803583, 0.09764116899876864, 0.015386197998279096, -0.1785554737473356, 0.013993208560334371, 0.15159997948140433] |
708.1572 | Groups of motions and mechanics I: point mechanics | It is shown that physical mechanics for pointlike bodies can be effectively
modeled in terms of the action of transformation groups that act as symmetries
of the solutions of systems of differential equations that describe the
integrability of dynamical states. The equations of motion are then obtained
from these integrability equations for the dynamical states. It is also
observed that the functions that define the components of a dynamical state
represent a set of mechanical constitutive laws. The variational formulation of
mechanics is shown to be a specialization of these principles.
| gr-qc math-ph math.MP | it is shown that physical mechanics for pointlike bodies can be effectively modeled in terms of the action of transformation groups that act as symmetries of the solutions of systems of differential equations that describe the integrability of dynamical states the equations of motion are then obtained from these integrability equations for the dynamical states it is also observed that the functions that define the components of a dynamical state represent a set of mechanical constitutive laws the variational formulation of mechanics is shown to be a specialization of these principles | [['it', 'is', 'shown', 'that', 'physical', 'mechanics', 'for', 'pointlike', 'bodies', 'can', 'be', 'effectively', 'modeled', 'in', 'terms', 'of', 'the', 'action', 'of', 'transformation', 'groups', 'that', 'act', 'as', 'symmetries', 'of', 'the', 'solutions', 'of', 'systems', 'of', 'differential', 'equations', 'that', 'describe', 'the', 'integrability', 'of', 'dynamical', 'states', 'the', 'equations', 'of', 'motion', 'are', 'then', 'obtained', 'from', 'these', 'integrability', 'equations', 'for', 'the', 'dynamical', 'states', 'it', 'is', 'also', 'observed', 'that', 'the', 'functions', 'that', 'define', 'the', 'components', 'of', 'a', 'dynamical', 'state', 'represent', 'a', 'set', 'of', 'mechanical', 'constitutive', 'laws', 'the', 'variational', 'formulation', 'of', 'mechanics', 'is', 'shown', 'to', 'be', 'a', 'specialization', 'of', 'these', 'principles']] | [-0.12316923405064249, 0.1278718271814696, -0.1702139372272151, 0.05707353195764001, -0.04565701105601185, -0.09008409199944524, -0.03502586610860877, 0.2755114278131789, -0.3359948189540224, -0.2739919816542949, 0.09602188621263869, -0.2617141185021335, -0.21538166900339362, 0.17796876268195255, -0.03462941515013821, 0.07170139686562695, 0.05358669705238644, 0.042115413174442534, -0.06891193477037762, -0.20436013242802942, 0.36142074394520823, -0.03957425474936327, 0.22933443017549568, -0.011523930140985893, 0.17537365962270196, -0.04663983125055393, 0.04394930383640822, 0.06155593352453722, -0.06964418873810375, 0.10781940116142792, 0.24473795409385973, 0.1217299902832115, 0.19781097008304283, -0.42379277140147736, -0.2587128616255391, 0.05053544904688721, 0.09994665087216052, 0.11885704351896113, 0.010324445123282762, -0.30912501652018876, 0.06462543740725288, -0.15257007718869167, -0.20247820596425578, -0.1191504109282415, 0.04663620430177876, 0.059655684343242386, -0.23142912793536108, 0.08819708388258292, 0.09003940226982225, 0.020984287220206888, -0.14052032087264316, -0.06462469200634367, -0.08266219538048032, 0.1256537969981494, 0.027682369825645134, -0.022166621840589647, 0.12857149760392342, -0.14258643921853587, -0.12770396667522388, 0.44127581136526317, 0.008280256280808576, -0.2971585250899687, 0.19298977466238723, -0.1062809198398839, -0.15225677616935182, 0.10336450077490983, 0.16193900591499366, 0.11605133720069796, -0.21464715593054398, 0.07510972439546834, -0.06227451241012294, 0.1397668124678043, 0.03569430254328136, 0.04564490029588342, 0.192396700556216, 0.09698343990820942, 0.04908638296239168, 0.11719358089932619, 0.02494630284075226, -0.15383650447436414, -0.3711578550820167, -0.1816794923404334, -0.15744720338229704, 0.10270492671118987, -0.0692233486448998, -0.17476433376346046, 0.3623987726539701, 0.13717450652844632, 0.14036221170265759, 0.05227328743273904, 0.19792913424188865, 0.20363672140868672, 0.08372577766447768, 0.021125992186940633, 0.2717048611727308, 0.1845491550924195, 0.048970209588143195, -0.22940892467766508, 0.028014977201614735, 0.11785024904983711] |
708.1573 | The Distinct Effects of Homogeneous Weak Disorder and Dilute Strong
Scatterers on Phase Competetion in the Manganites | We study the two orbital double-exchange model in two dimensions in the
presence of antiferromagnetic (AF) superexchange, strong Jahn-Teller coupling,
and substitutional disorder. At hole doping x=0.5 we explore the `bicritical'
regime where the energy of a ferromagnetic metal and a charge and orbital
ordered (CO-OO) CE state are closely balanced, and compare the impact of weak
homogeneous disorder to that of a low density of strong scatterers. Even
moderate homogeneous disorder suppresses the CE-CO-OO phase and leads to a
glass with nanoscale correlations. Dilute strong scatterers of comparable
strength, however, convert the CE-CO-OO phase to a phase separated state with
ferromagnetic and AF-CO-OO clusters. We provide the first spatial description
of these phenomena and compare our results in detail to experiments on the
half-doped manganites.
| cond-mat.str-el | we study the two orbital doubleexchange model in two dimensions in the presence of antiferromagnetic af superexchange strong jahnteller coupling and substitutional disorder at hole doping x05 we explore the bicritical regime where the energy of a ferromagnetic metal and a charge and orbital ordered cooo ce state are closely balanced and compare the impact of weak homogeneous disorder to that of a low density of strong scatterers even moderate homogeneous disorder suppresses the cecooo phase and leads to a glass with nanoscale correlations dilute strong scatterers of comparable strength however convert the cecooo phase to a phase separated state with ferromagnetic and afcooo clusters we provide the first spatial description of these phenomena and compare our results in detail to experiments on the halfdoped manganites | [['we', 'study', 'the', 'two', 'orbital', 'doubleexchange', 'model', 'in', 'two', 'dimensions', 'in', 'the', 'presence', 'of', 'antiferromagnetic', 'af', 'superexchange', 'strong', 'jahnteller', 'coupling', 'and', 'substitutional', 'disorder', 'at', 'hole', 'doping', 'x05', 'we', 'explore', 'the', 'bicritical', 'regime', 'where', 'the', 'energy', 'of', 'a', 'ferromagnetic', 'metal', 'and', 'a', 'charge', 'and', 'orbital', 'ordered', 'cooo', 'ce', 'state', 'are', 'closely', 'balanced', 'and', 'compare', 'the', 'impact', 'of', 'weak', 'homogeneous', 'disorder', 'to', 'that', 'of', 'a', 'low', 'density', 'of', 'strong', 'scatterers', 'even', 'moderate', 'homogeneous', 'disorder', 'suppresses', 'the', 'cecooo', 'phase', 'and', 'leads', 'to', 'a', 'glass', 'with', 'nanoscale', 'correlations', 'dilute', 'strong', 'scatterers', 'of', 'comparable', 'strength', 'however', 'convert', 'the', 'cecooo', 'phase', 'to', 'a', 'phase', 'separated', 'state', 'with', 'ferromagnetic', 'and', 'afcooo', 'clusters', 'we', 'provide', 'the', 'first', 'spatial', 'description', 'of', 'these', 'phenomena', 'and', 'compare', 'our', 'results', 'in', 'detail', 'to', 'experiments', 'on', 'the', 'halfdoped', 'manganites']] | [-0.20366507719414748, 0.22673302184320926, 0.008198830449685826, 0.07326054213780576, -0.0007272409313032782, -0.15077762836136105, 0.08974366631771521, 0.3921760403043856, -0.2299663719145687, -0.2506650948425664, -0.013767272448810802, -0.34812416542109437, -0.11689338538553415, 0.09246411354553591, 0.07856242753171581, -0.060978352623647154, -0.03125751296406597, -0.04766088360859028, -0.1400962197411109, -0.21426717201209952, 0.32469125554662165, 0.0090921607480869, 0.30250380374491215, 0.088648323556484, 0.03189249462788788, 0.017678223669574392, 0.13975556267092262, 0.07412192418629955, -0.1650144018375857, 0.02654852093683889, 0.25135789607931686, -0.12045443040693588, 0.20397943260935628, -0.43289460475003816, -0.19127491352004491, 0.033801458439587644, 0.11333915817776574, 0.16897470125459074, -0.0701673715006242, -0.29733068788257555, 0.06291129743695502, -0.15936481727029733, -0.11005301175618211, -0.11385767972967549, -0.039784937483690136, 0.04875002329936251, -0.29642441027184446, 0.1372170711629002, 0.12213856673030925, 0.08205545939717108, -0.11475338591868436, -0.08785233466424108, -0.0861529529764794, 0.07386938979039044, 0.048983396794760554, 0.057073547203866086, 0.1027422464619262, -0.11222997355479293, -0.0973403259044195, 0.364006231243654, -0.04747832319661369, -0.06944657098199052, 0.2503711901968572, -0.22875963997216972, -0.07638714250888888, 0.16202921474852214, 0.14236673976983724, 0.09061601177251678, -0.10074892132808037, 0.06463630612427558, 0.03732729000436914, 0.21885689849609402, 0.008407871316497525, 0.1136703481945035, 0.2443729345648875, 0.20767309557555652, 0.04334029606051319, 0.18321124373980593, -0.13000122818724835, -0.11799936951516665, -0.1865072261572369, -0.13564722962314035, -0.21759630197553131, 0.020160501425313514, -0.15301821038150135, -0.21138235625651916, 0.37590727143035063, 0.18504641645746986, 0.19321711057024757, -0.08101141034829908, 0.2099526892756907, 0.049242761853999055, -0.017150971054182788, -0.004248501585296742, 0.2738257892414685, 0.18457266153782848, 0.10956904017631479, -0.31225924713279657, 0.06273244140003391, 0.01864562086889717] |
708.1574 | Cartier isomorphism and Hodge Theory in the non-commutative case | These are lecture notes from Clay Summer School in Goettingen, in 2006; the
lectures were an attempt at an elementary introduction to math.KT/0611623.
| math.AG math.KT | these are lecture notes from clay summer school in goettingen in 2006 the lectures were an attempt at an elementary introduction to mathkt0611623 | [['these', 'are', 'lecture', 'notes', 'from', 'clay', 'summer', 'school', 'in', 'goettingen', 'in', '2006', 'the', 'lectures', 'were', 'an', 'attempt', 'at', 'an', 'elementary', 'introduction', 'to', 'mathkt0611623']] | [0.0350479314273054, 0.2667478857765673, -0.22005078935233707, 0.04902798070741648, -0.11671460487625816, -0.11106417304836214, -0.1276728460057215, 0.30790253254500305, -0.1184593358087692, -0.4873043926940723, 0.244286815085533, -0.3409573142628439, -0.1857682757783385, 0.1375423943708566, -0.2801222052763809, -0.13669188104739244, 0.06534523334862156, -0.02283240520310673, -0.018468640998683193, -0.49868783151561563, 0.21945035372945396, 0.22182398915968157, 0.2701570090245117, 0.07800972887145524, 0.11880598242648623, -0.017840698805891654, -0.13565835653042252, -0.09224782189862295, -0.19365481177175586, 0.14905665975741364, 0.4594431184232235, 0.01640249842206355, 0.28533096734265034, -0.5506721125407652, 0.06653787788342345, -0.12727245011112906, -0.03666880047372119, 0.1260345545174046, 0.016331291503526947, -0.2991683117368005, -0.0611238162541254, -0.11940537850287827, -0.07351396029645746, 0.0789445335553451, -0.012547647178342397, 0.005221322432837703, -0.050044392997568306, -0.03541231590365483, 0.05878973582928831, 0.3531079078939828, -0.039408824804757554, -0.22955616072497584, 0.024402588119053027, 0.09714193214577707, -0.0034827953204512596, -0.008176133819771085, 0.04259626389565793, -0.08950182617726651, -0.16137484765865587, 0.31952444396235724, -0.017833876550536264, 0.06302001835270361, 0.2133183271878145, -0.08191662425683303, -0.22559490968176926, 0.20300763422115284, 0.3841004485095089, 0.06531026384750889, -0.25393571196631953, 0.08673281501978636, -0.017161920558878177, 0.14715194926512512, 0.13550576447001236, -0.12965319288725202, 0.32452428256246174, 0.018420294900848108, -0.15628551950000905, 0.0238196478987282, 0.0044805238192731685, -0.08708826173096895, -0.45829606445675547, -0.1875905374234373, -0.17173209515484897, 0.04449941878291694, 0.1637653662738475, -0.01904256734997034, 0.3647972196340561, 0.07068373491479592, 0.10426259599626064, -0.06748979691077363, 0.09497121111913161, 0.06513307175853035, -0.09764426202904856, 0.05227978728626939, 0.15202763403596525, 0.1003085827476091, 0.2991865671832453, 0.03672409325372428, -0.06541887522590431, 0.2744361778551882] |
708.1575 | Symmetric Homology of Algebras | In this note, we outline the general development of a theory of symmetric
homology of algebras, an analog of cyclic homology where the cyclic groups are
replaced by symmetric groups. This theory is developed using the framework of
crossed simplicial groups and the homological algebra of module-valued
functors. The symmetric homology of group algebras is related to stable
homotopy theory. Two spectral sequences for computing symmetric homology are
constructed. The relation to cyclic homology is discussed and some conjectures
and questions towards further work are discussed.
| math.AT | in this note we outline the general development of a theory of symmetric homology of algebras an analog of cyclic homology where the cyclic groups are replaced by symmetric groups this theory is developed using the framework of crossed simplicial groups and the homological algebra of modulevalued functors the symmetric homology of group algebras is related to stable homotopy theory two spectral sequences for computing symmetric homology are constructed the relation to cyclic homology is discussed and some conjectures and questions towards further work are discussed | [['in', 'this', 'note', 'we', 'outline', 'the', 'general', 'development', 'of', 'a', 'theory', 'of', 'symmetric', 'homology', 'of', 'algebras', 'an', 'analog', 'of', 'cyclic', 'homology', 'where', 'the', 'cyclic', 'groups', 'are', 'replaced', 'by', 'symmetric', 'groups', 'this', 'theory', 'is', 'developed', 'using', 'the', 'framework', 'of', 'crossed', 'simplicial', 'groups', 'and', 'the', 'homological', 'algebra', 'of', 'modulevalued', 'functors', 'the', 'symmetric', 'homology', 'of', 'group', 'algebras', 'is', 'related', 'to', 'stable', 'homotopy', 'theory', 'two', 'spectral', 'sequences', 'for', 'computing', 'symmetric', 'homology', 'are', 'constructed', 'the', 'relation', 'to', 'cyclic', 'homology', 'is', 'discussed', 'and', 'some', 'conjectures', 'and', 'questions', 'towards', 'further', 'work', 'are', 'discussed']] | [-0.2078697778777603, 0.10584865637168096, -0.11631515560781254, 0.09907273004406734, -0.07009243760805796, -0.15756093399489626, -0.07190824024077944, 0.3696032267036464, -0.3846101975013666, -0.1964212803498787, 0.1572472040034721, -0.18674861604676526, -0.21657535169711883, 0.14527824916602933, -0.2015948941156667, -0.06048993559225517, 0.012827559702974908, 0.1048398798879455, -0.11268087738905759, -0.26534235818202007, 0.4358973492758677, 0.014375717833857327, 0.2139102416954034, 0.06391327231026747, 0.02421881668269634, -0.009374536321881939, -0.10720450551632572, 0.0057097783202634134, -0.1898706175660824, 0.17969962044016402, 0.3536876130493029, 0.03550486589836724, 0.1714757924680324, -0.396260473899105, -0.0918353927486083, 0.1551444138345473, 0.1139149441577234, 0.04761377991560627, -0.09841655862846357, -0.293948983488714, 0.1424211594988318, -0.2437945771305, -0.13690050119972405, -0.05547705750693293, 0.060668004063122415, 0.013125638707595713, -0.1830160154577564, -0.013297152354875032, 0.06613828689681694, 0.14810444060439135, -0.09257248837829513, -0.06593773419667473, -0.033007597627446934, 0.13431723402155674, -0.004852708530447939, -0.005294445206356399, 0.11640787484562572, -0.06295222090557218, -0.21617780853720273, 0.3923011746695813, 0.02459704904433559, -0.19140144742148765, 0.10014765344231444, -0.11963937358711572, -0.26164363973828797, 0.1073058884809999, -0.0016088911770459483, 0.17355776061029995, -0.02875152371604653, 0.17196730231825152, -0.0928607860360952, 0.04224171195836628, 0.08823901956681819, -0.01689645508509677, 0.16322551802458132, 0.09513549485846477, 0.045618088762549795, 0.1652161785237053, 0.060542287305682244, -0.1360564910751932, -0.2927288820638376, -0.20421469375997892, -0.09180784188210964, 0.08511670228532132, -0.1090892199312186, -0.18177572862135574, 0.4226112243007211, 0.07583094475900426, 0.07173729428391465, 0.1598437032004928, 0.23849176545353495, 0.03287762483472333, 0.07730872595600564, -0.014856081505251282, 0.11030955715276136, 0.3396936603794422, -0.03514017289887895, -0.10426595439545482, -0.058923204621190536, 0.26971568132695906] |
708.1576 | Study of K^0 \to pi^- e^+ nu_e e^+ e^- in chiral perturbation theory | K^0 \to pi^- e^+ nu_e e^+ e^- decay is studied up to the next-to-leading
order O^4 in chiral perturbation theory. It is found that the O^4 terms
appreciably modifiy the shape of the invariant mass distribution of the leptons
and the energy spectrum of the neutrino.
| hep-ph | k0 to pi e nu_e e e decay is studied up to the nexttoleading order o4 in chiral perturbation theory it is found that the o4 terms appreciably modifiy the shape of the invariant mass distribution of the leptons and the energy spectrum of the neutrino | [['k0', 'to', 'pi', 'e', 'nu_e', 'e', 'e', 'decay', 'is', 'studied', 'up', 'to', 'the', 'nexttoleading', 'order', 'o4', 'in', 'chiral', 'perturbation', 'theory', 'it', 'is', 'found', 'that', 'the', 'o4', 'terms', 'appreciably', 'modifiy', 'the', 'shape', 'of', 'the', 'invariant', 'mass', 'distribution', 'of', 'the', 'leptons', 'and', 'the', 'energy', 'spectrum', 'of', 'the', 'neutrino']] | [-0.12213180937493841, 0.2130140167971452, -0.10235503886101974, 0.12248373116987447, 0.005750842640797297, -0.07783398272262679, -0.03823756088450965, 0.27805670101402535, -0.20496558126889997, -0.2700948187874423, -0.05972128774091187, -0.34257695426543555, -0.018915468123224047, 0.044637380374802485, 0.07752286245425542, 0.10265172421156118, -0.0012056882493197917, 0.11871518538229996, -0.08192013771687116, -0.1888288196383251, 0.26582245455226966, 0.06728995251986715, 0.20666121643864446, 0.05660011429960529, -0.020554210907883116, -0.0428726253979322, -0.03482278092867798, -0.12226255817545785, -0.17030307268287287, 0.05090902625686593, 0.1816582444848286, 0.01652848571538925, 0.048876479402598406, -0.30551805214749445, -0.1306469921229614, 0.18677838320533435, 0.13388122618198395, 0.016114395235975583, 0.02939522173255682, -0.304179436672065, 0.15698639373812412, -0.22947600136200588, -0.1893621688708663, -0.07629753595425023, 0.08608340560976002, -0.08953318372368813, -0.33168810506661733, 0.08510342803266313, 0.05999295773605506, -0.021346407073239485, -0.002276514677537812, -0.15813224527777897, -0.1178312090328998, 0.03760689608752728, 0.18984588189050555, 0.11435903556024035, 0.13030422195895677, -0.14111526500847604, -0.10738705483575663, 0.46523288720183903, -0.07519614601042121, -0.16492811927778853, 0.0986967899526159, -0.24324456854826873, -0.10225741105775038, 0.22153297646178138, 0.15120038948953152, 0.09422766753575867, -0.14773428425606755, 0.23187811413857465, -0.0015418415197119531, 0.14618438577227708, 0.09441366735845805, -0.003404370384911696, 0.1677401918090052, 0.12551184406814475, 0.06347206423266066, -0.0232016923940844, -0.13259552211190265, -0.019851346438129743, -0.39381200770537056, -0.08952705586949984, -0.12896657866529293, 0.130161606396238, -0.04851038088575781, -0.1292628264054656, 0.43993246553258764, 0.033966024799479376, 0.23454836724946895, 0.006256290359629525, 0.26180950444605616, 0.15768096103436416, 0.028138971204559007, 0.04801341552908222, 0.29098562563045155, 0.2123725228011608, 0.07877368293702602, -0.34554922847698133, -0.032435608603474164, 0.0742032421235409] |
708.1577 | Equivariant homotopy and deformations of diffeomorphisms | We present a way of constructing and deforming diffeomorphisms of manifolds
endowed with a Lie group action. This is applied to the study of exotic
diffeomorphisms and involutions of spheres and to the equivariant homotopy of
Lie groups.
| math.DG math.AT | we present a way of constructing and deforming diffeomorphisms of manifolds endowed with a lie group action this is applied to the study of exotic diffeomorphisms and involutions of spheres and to the equivariant homotopy of lie groups | [['we', 'present', 'a', 'way', 'of', 'constructing', 'and', 'deforming', 'diffeomorphisms', 'of', 'manifolds', 'endowed', 'with', 'a', 'lie', 'group', 'action', 'this', 'is', 'applied', 'to', 'the', 'study', 'of', 'exotic', 'diffeomorphisms', 'and', 'involutions', 'of', 'spheres', 'and', 'to', 'the', 'equivariant', 'homotopy', 'of', 'lie', 'groups']] | [-0.24994340833080442, 0.08538821567536185, -0.11995943106318775, 0.03464449211759003, -0.1526838882189048, -0.09499806089718875, 0.014284802374037864, 0.3947982450849132, -0.2674132865902625, -0.2630481952066092, 0.11296617710276653, -0.2474292851984501, -0.15610151024731367, 0.1481457128875742, -0.18062053821784885, -0.03341765216502704, 0.027192526349895878, 0.08878217387552324, -0.1566810089555618, -0.21365414918507572, 0.5041827932980499, -0.03021552039947557, 0.1687610251994652, -0.0005302774523826022, 0.1863136596634592, -0.05203590803093424, -0.016306781945259946, 0.03285776464709718, -0.10181026654563059, 0.23649874312411012, 0.2828677353008013, -0.03496437495280253, 0.1340605163652646, -0.346403199051948, -0.16021394977149994, 0.1869715230637475, 0.1417250062191957, 0.02387894638568947, -0.08537833399972633, -0.3950855288850634, 0.08976199546534765, -0.1832695586704894, -0.1931735017631007, -0.1316598835401237, 0.0446547072772917, -0.0049580414350585715, -0.1615793828264271, -0.02363798323724615, 0.0951281477219278, 0.18082340534678415, -0.12558002218506054, 0.02455103064053937, -0.09414655826740752, 0.16213008393778613, 0.0583186413982491, 0.047181933818041887, 0.20236310868916152, -0.029978310750601322, -0.15716934958963016, 0.5024044235285959, -0.047356040462067255, -0.27207197449905307, 0.15391323034112392, -0.1613804136010769, -0.23094856496410152, 0.09161926274138846, 0.11058763299431455, 0.19976546948677615, -0.047619447234625877, 0.17898931879531838, -0.06896865038862943, -0.0025689902862435893, 0.04939071142947987, -0.07604136876761913, 0.12858489243999907, 0.15416178884180753, 0.13333115998753592, 0.13605525589695103, 0.05149701178858155, -0.025529885958684117, -0.3602134076584327, -0.2220408274105897, -0.03734795866828216, 0.18566585422836637, -0.06751371470263141, -0.1992146653723658, 0.4325034853659178, 0.05895376291224047, 0.19062033424300975, 0.17216441616121875, 0.16480356268584728, -0.020469881888282925, 0.09841499516838476, 0.04116783121552496, 0.10382174386789925, 0.27698958861200434, -0.11894563418862067, -0.1235489506691106, -0.1641162999807612, 0.23369854982746274] |
708.1578 | Recent photometry of symbiotic stars - XII | We present new photometric observations of 15 symbiotic stars (EG And, Z And,
AE Ara, BF Cyg, CH Cyg, CI Cyg, V1329 Cyg, TX CVn, AG Dra, Draco C-1, RW Hya,
SY Mus, AR Pav, AG Peg, AX Per) covering their last orbital cycle(s) from
2003.9 to 2007.2. We obtained our data by both classical photoelectric and CCD
photometry. Main results are: EG And brightened by about 0.3 mag in U from
2003. A 0.5 mag deep primary minimum developed in the U light curve (LC) at the
end of 2006. Z And continues its recent activity that began during the 2000
autumn. A new small outburst started in summer of 2004 with the peak
U-magnitude of about 9.2. During the spring of 2006 the star entered a massive
outburst. It reached its historical maximum at U = 8.0 in 2006 July. AE Ara
erupted in 2006 February with Dm(vis) approx. 1.2 mag. BF Cyg entered a new
active stage in 2006 August. A brightness maximum (U approx. 9.4) was measured
during 2006 September. CH Cyg persists in a quiescent phase. During 2006 June -
December about 2 mag decline in all colours was measured. CI Cyg started a new
active phase during 2006 May - June. After 31 years it erupted by about 2 mag
in U. TX CVn maintains a bright stage with U approx. 10.5 from 2003. AG Dra
entered a new major outburst in 2006 June. It reached its maximum at U = 8.0 in
2006 September. AR Pav persists at a low level of the activity. AG Peg's LC
profile varies markedly during different orbital cycles. AX Per continues its
quiescent phase.
| astro-ph | we present new photometric observations of 15 symbiotic stars eg and z and ae ara bf cyg ch cyg ci cyg v1329 cyg tx cvn ag dra draco c1 rw hya sy mus ar pav ag peg ax per covering their last orbital cycles from 20039 to 20072 we obtained our data by both classical photoelectric and ccd photometry main results are eg and brightened by about 03 mag in u from 2003 a 05 mag deep primary minimum developed in the u light curve lc at the end of 2006 z and continues its recent activity that began during the 2000 autumn a new small outburst started in summer of 2004 with the peak umagnitude of about 92 during the spring of 2006 the star entered a massive outburst it reached its historical maximum at u 80 in 2006 july ae ara erupted in 2006 february with dmvis approx 12 mag bf cyg entered a new active stage in 2006 august a brightness maximum u approx 94 was measured during 2006 september ch cyg persists in a quiescent phase during 2006 june december about 2 mag decline in all colours was measured ci cyg started a new active phase during 2006 may june after 31 years it erupted by about 2 mag in u tx cvn maintains a bright stage with u approx 105 from 2003 ag dra entered a new major outburst in 2006 june it reached its maximum at u 80 in 2006 september ar pav persists at a low level of the activity ag pegs lc profile varies markedly during different orbital cycles ax per continues its quiescent phase | [['we', 'present', 'new', 'photometric', 'observations', 'of', '15', 'symbiotic', 'stars', 'eg', 'and', 'z', 'and', 'ae', 'ara', 'bf', 'cyg', 'ch', 'cyg', 'ci', 'cyg', 'v1329', 'cyg', 'tx', 'cvn', 'ag', 'dra', 'draco', 'c1', 'rw', 'hya', 'sy', 'mus', 'ar', 'pav', 'ag', 'peg', 'ax', 'per', 'covering', 'their', 'last', 'orbital', 'cycles', 'from', '20039', 'to', '20072', 'we', 'obtained', 'our', 'data', 'by', 'both', 'classical', 'photoelectric', 'and', 'ccd', 'photometry', 'main', 'results', 'are', 'eg', 'and', 'brightened', 'by', 'about', '03', 'mag', 'in', 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708.1579 | Homogeneous temporal activity patterns in a large online communication
space | The many-to-many social communication activity on the popular technology-news
website Slashdot has been studied. We have concentrated on the dynamics of
message production without considering semantic relations and have found
regular temporal patterns in the reaction time of the community to a news-post
as well as in single user behavior. The statistics of these activities follow
log-normal distributions. Daily and weekly oscillatory cycles, which cause
slight variations of this simple behavior, are identified. A superposition of
two log-normal distributions can account for these variations. The findings are
remarkable since the distribution of the number of comments per users, which is
also analyzed, indicates a great amount of heterogeneity in the community. The
reader may find surprising that only a few parameters allow a detailed
description, or even prediction, of social many-to-many information exchange in
this kind of popular public spaces.
| cs.NI | the manytomany social communication activity on the popular technologynews website slashdot has been studied we have concentrated on the dynamics of message production without considering semantic relations and have found regular temporal patterns in the reaction time of the community to a newspost as well as in single user behavior the statistics of these activities follow lognormal distributions daily and weekly oscillatory cycles which cause slight variations of this simple behavior are identified a superposition of two lognormal distributions can account for these variations the findings are remarkable since the distribution of the number of comments per users which is also analyzed indicates a great amount of heterogeneity in the community the reader may find surprising that only a few parameters allow a detailed description or even prediction of social manytomany information exchange in this kind of popular public spaces | [['the', 'manytomany', 'social', 'communication', 'activity', 'on', 'the', 'popular', 'technologynews', 'website', 'slashdot', 'has', 'been', 'studied', 'we', 'have', 'concentrated', 'on', 'the', 'dynamics', 'of', 'message', 'production', 'without', 'considering', 'semantic', 'relations', 'and', 'have', 'found', 'regular', 'temporal', 'patterns', 'in', 'the', 'reaction', 'time', 'of', 'the', 'community', 'to', 'a', 'newspost', 'as', 'well', 'as', 'in', 'single', 'user', 'behavior', 'the', 'statistics', 'of', 'these', 'activities', 'follow', 'lognormal', 'distributions', 'daily', 'and', 'weekly', 'oscillatory', 'cycles', 'which', 'cause', 'slight', 'variations', 'of', 'this', 'simple', 'behavior', 'are', 'identified', 'a', 'superposition', 'of', 'two', 'lognormal', 'distributions', 'can', 'account', 'for', 'these', 'variations', 'the', 'findings', 'are', 'remarkable', 'since', 'the', 'distribution', 'of', 'the', 'number', 'of', 'comments', 'per', 'users', 'which', 'is', 'also', 'analyzed', 'indicates', 'a', 'great', 'amount', 'of', 'heterogeneity', 'in', 'the', 'community', 'the', 'reader', 'may', 'find', 'surprising', 'that', 'only', 'a', 'few', 'parameters', 'allow', 'a', 'detailed', 'description', 'or', 'even', 'prediction', 'of', 'social', 'manytomany', 'information', 'exchange', 'in', 'this', 'kind', 'of', 'popular', 'public', 'spaces']] | [-0.14505212900626974, 0.08960888724760625, -0.09496403981925602, 0.1295599109059591, -0.09758756162288289, -0.13073231770481536, 0.0687334094621727, 0.4036420539993307, -0.25906400571820204, -0.34874520934038405, 0.06242187577215415, -0.30106818368928373, -0.1671824177433534, 0.16576747163840017, -0.07428694368623522, 0.010181768365420294, 0.08001833256887461, 0.09749453419488788, -0.009291843332323258, -0.26276134384586813, 0.2756756815209013, 0.05951880050175216, 0.3125050794670655, 0.06858189389501038, 0.049048845453754715, 0.007899405589948097, -0.08747670035328432, 0.018559202141013753, -0.08464352636239736, 0.11675549234074635, 0.27090247121362854, 0.15887234685773813, 0.30023703844947874, -0.4274306276921129, -0.2557108540533353, 0.09424261507524205, 0.15068607322156322, 0.07589787603659637, -0.05430207512361686, -0.2788871692778691, 0.05734807459478928, -0.19819047956632962, -0.07172432691837405, -0.056480472693995885, 0.04231031380755746, 0.08677227899096433, -0.2236430453021835, 0.08050113333455806, 0.035232577552644376, 0.11285969837184023, -0.0022836824342527466, -0.09390840009259789, -0.03910344193918981, 0.20581377360065453, 0.08926532925545251, -0.04396688910956204, 0.12413098520946865, -0.1460049061469086, -0.12316195071553407, 0.38543045589619357, -0.04055073202682146, -0.15662001799522102, 0.1788108886474325, -0.14058116169484414, -0.17757834319322222, 0.11864888039755, 0.21706925785384965, 0.08620018741973015, -0.19156446105098704, -0.01926645829656121, -0.08372172940711396, 0.19095389388224948, 0.08648473061486214, 0.052227729668273874, 0.20877599790759815, 0.16288053714062856, 0.006551946638205993, 0.10407264079169734, -0.07599079395995299, -0.1455638377933149, -0.2364029980507558, -0.09842694559863405, -0.15285650233103745, 0.03352057571401414, -0.11031230528601883, -0.1559260819626945, 0.4172183369198625, 0.10837826259397106, 0.19227052642288955, 0.03318567280623846, 0.2507352568141684, 0.06559457650080835, 0.08172249961374463, 0.06227974950477643, 0.19712893439429827, 0.0459878822059735, 0.16417948631029847, -0.14401520674616314, 0.17736505486233078, -0.025972004814505362] |
708.158 | Optimal Causal Inference: Estimating Stored Information and
Approximating Causal Architecture | We introduce an approach to inferring the causal architecture of stochastic
dynamical systems that extends rate distortion theory to use causal
shielding---a natural principle of learning. We study two distinct cases of
causal inference: optimal causal filtering and optimal causal estimation.
Filtering corresponds to the ideal case in which the probability distribution
of measurement sequences is known, giving a principled method to approximate a
system's causal structure at a desired level of representation. We show that,
in the limit in which a model complexity constraint is relaxed, filtering finds
the exact causal architecture of a stochastic dynamical system, known as the
causal-state partition. From this, one can estimate the amount of historical
information the process stores. More generally, causal filtering finds a graded
model-complexity hierarchy of approximations to the causal architecture. Abrupt
changes in the hierarchy, as a function of approximation, capture distinct
scales of structural organization.
For nonideal cases with finite data, we show how the correct number of
underlying causal states can be found by optimal causal estimation. A
previously derived model complexity control term allows us to correct for the
effect of statistical fluctuations in probability estimates and thereby avoid
over-fitting.
| cs.IT cond-mat.stat-mech cs.LG math.IT math.ST stat.TH | we introduce an approach to inferring the causal architecture of stochastic dynamical systems that extends rate distortion theory to use causal shieldinga natural principle of learning we study two distinct cases of causal inference optimal causal filtering and optimal causal estimation filtering corresponds to the ideal case in which the probability distribution of measurement sequences is known giving a principled method to approximate a systems causal structure at a desired level of representation we show that in the limit in which a model complexity constraint is relaxed filtering finds the exact causal architecture of a stochastic dynamical system known as the causalstate partition from this one can estimate the amount of historical information the process stores more generally causal filtering finds a graded modelcomplexity hierarchy of approximations to the causal architecture abrupt changes in the hierarchy as a function of approximation capture distinct scales of structural organization for nonideal cases with finite data we show how the correct number of underlying causal states can be found by optimal causal estimation a previously derived model complexity control term allows us to correct for the effect of statistical fluctuations in probability estimates and thereby avoid overfitting | [['we', 'introduce', 'an', 'approach', 'to', 'inferring', 'the', 'causal', 'architecture', 'of', 'stochastic', 'dynamical', 'systems', 'that', 'extends', 'rate', 'distortion', 'theory', 'to', 'use', 'causal', 'shieldinga', 'natural', 'principle', 'of', 'learning', 'we', 'study', 'two', 'distinct', 'cases', 'of', 'causal', 'inference', 'optimal', 'causal', 'filtering', 'and', 'optimal', 'causal', 'estimation', 'filtering', 'corresponds', 'to', 'the', 'ideal', 'case', 'in', 'which', 'the', 'probability', 'distribution', 'of', 'measurement', 'sequences', 'is', 'known', 'giving', 'a', 'principled', 'method', 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708.1581 | The equivariant cohomology of weighted projective space | We describe the integral equivariant cohomology ring of a weighted projective
space in terms of piecewise polynomials, and thence by generators and
relations. We deduce that the ring is a perfect invariant, and prove a Chern
class formula for weighted projective bundles.
| math.AT math.AG | we describe the integral equivariant cohomology ring of a weighted projective space in terms of piecewise polynomials and thence by generators and relations we deduce that the ring is a perfect invariant and prove a chern class formula for weighted projective bundles | [['we', 'describe', 'the', 'integral', 'equivariant', 'cohomology', 'ring', 'of', 'a', 'weighted', 'projective', 'space', 'in', 'terms', 'of', 'piecewise', 'polynomials', 'and', 'thence', 'by', 'generators', 'and', 'relations', 'we', 'deduce', 'that', 'the', 'ring', 'is', 'a', 'perfect', 'invariant', 'and', 'prove', 'a', 'chern', 'class', 'formula', 'for', 'weighted', 'projective', 'bundles']] | [-0.2569064014990415, 0.03950093861065051, -0.08280955676344179, 0.10105131717587244, -0.09009264152319658, -0.13208361303744218, -0.04755856482578175, 0.33626496266307576, -0.361723108527561, -0.16210916500893377, 0.08846722876131978, -0.20249520989489697, -0.1818061418931133, 0.19523730880713888, -0.1617849053415869, 0.030846340493077322, 0.0354112842109143, 0.08127029364307721, -0.16889198868912422, -0.26637079327996444, 0.4623970757238567, -0.0554506847346645, 0.229709173685738, 0.030850344071430818, 0.21962248844405016, 0.05788671209787329, -0.05435883914608331, 0.011511824345299309, -0.2074168438178146, 0.17944370021688796, 0.33781329684314276, 0.02494464381708808, 0.11909943792436804, -0.3610927661703456, -0.11182421882681194, 0.25877505842418896, 0.08364909541394029, 0.005245604884943792, 0.04240951244927211, -0.251559484018279, 0.0786767100604872, -0.2080708054736966, -0.19196048462098197, -0.1363093941805086, 0.07778906454110429, 0.10202025613259702, -0.2743999041239953, -0.02404756493689049, 0.07496279673207373, 0.18028164162699664, -0.08952547809375185, 0.002679709367276657, -0.0633436833463964, 0.008521540589364511, -0.10853314810499017, 0.002805834835661309, 0.09003842389211059, -0.07881520202915583, -0.15917675376182333, 0.3592340112442062, -0.1138527894481307, -0.2513766074996619, -0.00649452918497402, -0.17886734149596167, -0.13953190487587736, 0.12346798487539802, 0.05286094974282952, 0.21297583326564304, 0.03224281059755456, 0.18186828467046975, -0.18599287203202644, 0.025944064947820845, 0.07162213265075393, 0.03228606728260361, 0.14409697044729478, -0.010121009279308575, 0.08536426483659029, 0.19354707390690842, 0.011807364278606005, -0.06462218301991622, -0.38638201400282834, -0.32316446867549703, -0.15783799925841213, 0.1507096190582074, -0.1456640464731165, -0.1708029502880804, 0.43248038835424396, 0.0037507361599377225, 0.21680513263813087, 0.20233714574437944, 0.23301565902130233, 0.09367726379561991, 0.0429057687787073, 0.02599371676998479, 0.1305003738518627, 0.2528968937750462, -0.03590137879585936, -0.10403679679369643, -0.020918026743900208, 0.3154482603560956] |
708.1582 | A Littlewood-Richardson rule for Grassmannian Permutations | We give a combinatorial rule for computing intersection numbers on a flag
manifold which come from products of Schubert classes pulled back from
Grassmannian projections. This rule generalizes the known rule for
Grassmannians.
| math.CO | we give a combinatorial rule for computing intersection numbers on a flag manifold which come from products of schubert classes pulled back from grassmannian projections this rule generalizes the known rule for grassmannians | [['we', 'give', 'a', 'combinatorial', 'rule', 'for', 'computing', 'intersection', 'numbers', 'on', 'a', 'flag', 'manifold', 'which', 'come', 'from', 'products', 'of', 'schubert', 'classes', 'pulled', 'back', 'from', 'grassmannian', 'projections', 'this', 'rule', 'generalizes', 'the', 'known', 'rule', 'for', 'grassmannians']] | [-0.15034100582653825, -0.00852911752846205, -0.10086484151807698, 0.06283786496020514, -0.15619621341201392, -0.19829867777386398, 0.1609761452189449, 0.2587579529393803, -0.4113188417995292, -0.15905919005021904, 0.10427198759950415, -0.17051286645459407, -0.17657552687733463, 0.21709575854016072, -0.16283757070248778, -0.08292452104841218, 0.13711395590199213, 0.0420958087920691, -0.09226107730324712, -0.29742101004177873, 0.43331104223475314, -0.04747737611107754, 0.24465220139333696, 0.007381173245834581, 0.16377572057712259, 0.005988324117479902, -0.054271596681439514, 0.00048336687243797564, -0.09102009135213765, 0.15798759195163395, 0.30351789340828406, 0.17969530108243678, 0.122460555115884, -0.4094840990323009, -0.06057422420461521, 0.22450007325052423, 0.15986839734074293, 0.07660335980736735, 0.03432732327686002, -0.24408233628580064, -0.03656262790106914, -0.1278827109120109, -0.16108791834928773, -0.106978794390505, 0.03817877549480534, 0.03319497206107234, -0.2544257985145757, -0.061296719521509876, 0.08351667359414877, 0.11025818490959478, -0.050267115545769535, -0.2820815998552875, 0.0428347481612229, 0.10000087809043401, -0.043090538968416775, 0.034656111814194555, 0.1419215523214503, -0.03577145955976889, -0.23319712521113228, 0.40312578642007074, 0.07865117072607532, -0.25496952873513556, 0.04864349148490212, -0.08766901278586099, -0.22587737139088637, 0.21187301330042607, 0.10875701811164618, 0.1768323171206496, 0.009991651570255106, 0.08043668873495224, -0.1797858229979421, -0.11110602398261879, 0.18827716252681884, -0.04944736578247764, 0.23829396210159315, 0.047365166134003434, 0.05984030556723927, 0.17444631671815208, -0.010128273480487142, -0.17851297478332664, -0.32008573491916514, -0.18865663829174908, -0.11852667666971684, 0.26159433403870824, -0.1057706516179623, -0.20231481133536858, 0.30949484319849446, -0.011230573312125423, 0.2450728157648083, 0.20560157790455516, 0.24909155973882385, -0.04228876850031542, 0.11918413684223637, 0.0219928485369592, 0.16822407880064214, 0.27379919518143375, 0.023355084203296538, -0.061924896188870523, -0.006680800396045952, 0.2804431992046761] |
708.1583 | Intransitive geometries | A lemma of Tits establishes a connection between the simple connectivity of
an incidence geometry and the universal completion of an amalgam induced by a
sufficiently transitive group of automorphisms of that geometry. In the present
paper, we generalize this lemma to intransitive geometries, thus opening the
door for numerous applications. We treat ourselves some amalgams related to
intransitive actions of finite orthogonal groups, as a first class of examples.
| math.GT math.GR | a lemma of tits establishes a connection between the simple connectivity of an incidence geometry and the universal completion of an amalgam induced by a sufficiently transitive group of automorphisms of that geometry in the present paper we generalize this lemma to intransitive geometries thus opening the door for numerous applications we treat ourselves some amalgams related to intransitive actions of finite orthogonal groups as a first class of examples | [['a', 'lemma', 'of', 'tits', 'establishes', 'a', 'connection', 'between', 'the', 'simple', 'connectivity', 'of', 'an', 'incidence', 'geometry', 'and', 'the', 'universal', 'completion', 'of', 'an', 'amalgam', 'induced', 'by', 'a', 'sufficiently', 'transitive', 'group', 'of', 'automorphisms', 'of', 'that', 'geometry', 'in', 'the', 'present', 'paper', 'we', 'generalize', 'this', 'lemma', 'to', 'intransitive', 'geometries', 'thus', 'opening', 'the', 'door', 'for', 'numerous', 'applications', 'we', 'treat', 'ourselves', 'some', 'amalgams', 'related', 'to', 'intransitive', 'actions', 'of', 'finite', 'orthogonal', 'groups', 'as', 'a', 'first', 'class', 'of', 'examples']] | [-0.16819802441501192, 0.10585375198404239, -0.07725184855184385, 0.06196454286941194, -0.1552517343645117, -0.12115456197144729, 0.08349173911015637, 0.37382772168244366, -0.3331608128334795, -0.22558838443032334, 0.13059966226407727, -0.21201455404017386, -0.21044554811004282, 0.22818081547905292, -0.18110189722584827, -0.04455485423760755, 0.0008759381116500922, 0.05561413601972163, -0.1149118140439636, -0.21616603242499488, 0.37917376000966346, -0.0036721996597147413, 0.21770081253988402, 0.07443814850744924, 0.08263647062371351, 0.053346034397171546, -0.055611496305625355, 0.03941786637795823, -0.15627556906599369, 0.16084919508014406, 0.31617766353966936, 0.07427606744957822, 0.2748791562925492, -0.37406563849321434, -0.17684741902298162, 0.14391923058511955, 0.08146908953120666, 0.07403615625309093, -0.08641058508572834, -0.2908052580298058, 0.06502816470872079, -0.19910067590951389, -0.19154996756863382, -0.051677198841103486, 0.04091228315872805, -0.022130830126947592, -0.20043505474791995, -0.011584202695770988, 0.17577185609510967, 0.10327308946954353, -0.034227923217362594, -0.012360277083436294, 0.01458618671500257, 0.16612330911281917, -0.015854633173772267, -0.02330268089592989, 0.06957648147695832, -0.10922429561947605, -0.18935133474213736, 0.39839547300445183, 0.02218973676541022, -0.19853159357860153, 0.19185051800949232, -0.10183841451071203, -0.17581166499959572, 0.06522454675287008, 0.17289034295494535, 0.16107084854239864, -0.0789690658136221, 0.13938418562174776, -0.1250976280442306, 0.07427067934934582, 0.12566501953239953, 0.010796681651845575, 0.12223948536972915, 0.11365796716750733, 0.15118016671788478, 0.18987554388919048, 0.04442825487681797, -0.014477542391978205, -0.35715267287035074, -0.15729180287037578, -0.10600893683731556, 0.09433517481333444, -0.10256670939582234, -0.21110447310243866, 0.3935180249490908, 0.10566637259908021, 0.19264729603060654, 0.1158577172351735, 0.20514128133654594, -0.013020804619217025, 0.05044618721918336, 0.04786118165190731, 0.14691852628727378, 0.26779980200808495, -0.04355443938901382, -0.15452504372224213, -0.0037478124257177116, 0.14536837843645897] |
708.1584 | Physics of Non-Inertial Reference Frames | Physics of non-inertial reference frames is a generalizing of Newton's laws
to any reference frames. The first, Law of Kinematic in non-inertial reference
frames reads: the kinematic state of a body free of forces conserves and
determinates a constant n-th order derivative with respect to time being equal
in absolute value to an invariant of the observer's reference frame. The
second, Law of Dynamic extended Newton's second law to non-inertial reference
frames and also contains additional variables there are higher derivatives of
coordinates. Dynamics Law in non-inertial reference frames reads: a force
induces a change in the kinematic state of the body and is proportional to the
rate of its change. It is mean that if the kinematic invariant of the reference
frame is n-th derivative with respect the time, then the dynamics of a body
being affected by the force F is described by the (n+1)-th differential
equation. The third, Law of Static in non-inertial reference frames reads: the
sum of all forces acting a body at rest is equal to zero.
| physics.class-ph physics.gen-ph | physics of noninertial reference frames is a generalizing of newtons laws to any reference frames the first law of kinematic in noninertial reference frames reads the kinematic state of a body free of forces conserves and determinates a constant nth order derivative with respect to time being equal in absolute value to an invariant of the observers reference frame the second law of dynamic extended newtons second law to noninertial reference frames and also contains additional variables there are higher derivatives of coordinates dynamics law in noninertial reference frames reads a force induces a change in the kinematic state of the body and is proportional to the rate of its change it is mean that if the kinematic invariant of the reference frame is nth derivative with respect the time then the dynamics of a body being affected by the force f is described by the n1th differential equation the third law of static in noninertial reference frames reads the sum of all forces acting a body at rest is equal to zero | [['physics', 'of', 'noninertial', 'reference', 'frames', 'is', 'a', 'generalizing', 'of', 'newtons', 'laws', 'to', 'any', 'reference', 'frames', 'the', 'first', 'law', 'of', 'kinematic', 'in', 'noninertial', 'reference', 'frames', 'reads', 'the', 'kinematic', 'state', 'of', 'a', 'body', 'free', 'of', 'forces', 'conserves', 'and', 'determinates', 'a', 'constant', 'nth', 'order', 'derivative', 'with', 'respect', 'to', 'time', 'being', 'equal', 'in', 'absolute', 'value', 'to', 'an', 'invariant', 'of', 'the', 'observers', 'reference', 'frame', 'the', 'second', 'law', 'of', 'dynamic', 'extended', 'newtons', 'second', 'law', 'to', 'noninertial', 'reference', 'frames', 'and', 'also', 'contains', 'additional', 'variables', 'there', 'are', 'higher', 'derivatives', 'of', 'coordinates', 'dynamics', 'law', 'in', 'noninertial', 'reference', 'frames', 'reads', 'a', 'force', 'induces', 'a', 'change', 'in', 'the', 'kinematic', 'state', 'of', 'the', 'body', 'and', 'is', 'proportional', 'to', 'the', 'rate', 'of', 'its', 'change', 'it', 'is', 'mean', 'that', 'if', 'the', 'kinematic', 'invariant', 'of', 'the', 'reference', 'frame', 'is', 'nth', 'derivative', 'with', 'respect', 'the', 'time', 'then', 'the', 'dynamics', 'of', 'a', 'body', 'being', 'affected', 'by', 'the', 'force', 'f', 'is', 'described', 'by', 'the', 'n1th', 'differential', 'equation', 'the', 'third', 'law', 'of', 'static', 'in', 'noninertial', 'reference', 'frames', 'reads', 'the', 'sum', 'of', 'all', 'forces', 'acting', 'a', 'body', 'at', 'rest', 'is', 'equal', 'to', 'zero']] | [-0.17272400127204005, 0.1317788681796607, -0.12188328206227811, 0.011286434920864764, -0.07227605663315761, -0.11381736252630173, -0.005811124319903726, 0.32077196817628517, -0.2984395313271603, -0.2736783237230347, 0.0098981985728917, -0.3067055765842629, -0.040470145066095475, 0.11589935346138339, -0.11856872851142747, 0.05156618975296476, 0.019882286483216164, 0.16078971368585562, -0.07091107199017262, -0.18176729353632085, 0.2812067005339317, 0.08436889547941297, 0.2304447545564387, -0.08849363550773909, 0.19130156309950316, -0.004789167743035441, -0.07343858136148408, 0.03353039644182075, -0.1071890565571541, 0.07636717963032424, 0.1663053365137298, 0.07072656918425373, 0.28311204235340187, -0.3500888930189662, -0.15341796297688298, 0.10715550655867298, 0.045172235601565386, 0.11270158001503279, 0.009667086696555449, -0.28361864772159606, 0.04037242255790895, -0.15502003242592002, -0.161086855716137, -0.023556524733363022, 0.12742868026306983, 0.0658544099965501, -0.26931461156345904, 0.1701596739231866, 0.0806399406107186, 0.06533559071723112, -0.14345678047285154, -0.020019180024974048, -0.011206937084775851, 0.18483610481272864, 0.09616835883325832, 0.1128566974542526, 0.18608534659345655, -0.07324342077261589, -0.08140209984294204, 0.5186580819305205, -0.10051594511944216, -0.28799101186721304, 0.11572139590794524, -0.19367467073268843, -0.0610980075177585, 0.1184396741443358, 0.11972308259045836, 0.12617361590948645, -0.1784353368417468, 0.07733946810054307, -0.0016835678942761449, 0.1909180621272711, 0.12666593805269533, 0.0165383104477917, 0.17972587288877126, 0.04564457591947948, 0.08984862684900331, 0.14113744250823593, -0.03890460548072317, -0.14377855371174858, -0.40791581494213885, -0.19004477855551793, -0.2205595792667821, 0.01208786814755132, -0.09460333739598566, -0.114752127025493, 0.37117295848682175, 0.06966779146344823, 0.14050822300825613, 0.06547864607188764, 0.3121659900901059, 0.11195097909157359, 0.10078547393962697, 0.04747615835282865, 0.26076605566506555, 0.12230786895054545, 0.11299665501817714, -0.217496928753843, 0.014201733577444196, 0.11254854727168243] |
708.1585 | Applications of Poisson Geometry to Physical Problems | We consider Lagrangians in Hamilton's principle defined on the tangent space
$TG$ of a Lie group $G$. Invariance of such a Lagrangian under the action of
$G$ leads to the symmetry-reduced Euler-Lagrange equations called the
Euler-Poincar\'e equations. In this case, the invariant Lagrangian is defined
on the Lie algebra of the group and its Euler-Poincar\'e equations are defined
on the dual Lie algebra, where dual is defined by the operation of taking
variational derivative. On the Hamiltonian side, the Euler-Poincar\'e equations
are Lie-Poisson and they possess accompanying momentum maps, which encode both
their conservation laws and the geometry of their solution space.
The standard Euler-Poincar\'e examples are treated, including particle
dynamics, the rigid body, the heavy top and geodesic motion on Lie groups.
Additional topics deal with Fermat's principle, the $\mathbb{R}^3$ Poisson
bracket, polarized optical traveling waves, deformable bodies (Riemann
ellipsoids) and shallow water waves, including the integrable shallow water
wave systems associated with geodesic motion on the diffeomorphisms. The
lectures end with the semidirect-product Euler-Poincar\'e reduction theorem for
ideal fluid dynamics. This theorem introduces the Euler--Poincar\'e variational
principle for incompressible and compressible motions of ideal fluids, with
applications to geophysical fluids. It also leads to their Lie-Poisson
Hamiltonian formulation.
| math.DS math.CA nlin.SI | we consider lagrangians in hamiltons principle defined on the tangent space tg of a lie group g invariance of such a lagrangian under the action of g leads to the symmetryreduced eulerlagrange equations called the eulerpoincare equations in this case the invariant lagrangian is defined on the lie algebra of the group and its eulerpoincare equations are defined on the dual lie algebra where dual is defined by the operation of taking variational derivative on the hamiltonian side the eulerpoincare equations are liepoisson and they possess accompanying momentum maps which encode both their conservation laws and the geometry of their solution space the standard eulerpoincare examples are treated including particle dynamics the rigid body the heavy top and geodesic motion on lie groups additional topics deal with fermats principle the mathbbr3 poisson bracket polarized optical traveling waves deformable bodies riemann ellipsoids and shallow water waves including the integrable shallow water wave systems associated with geodesic motion on the diffeomorphisms the lectures end with the semidirectproduct eulerpoincare reduction theorem for ideal fluid dynamics this theorem introduces the eulerpoincare variational principle for incompressible and compressible motions of ideal fluids with applications to geophysical fluids it also leads to their liepoisson hamiltonian formulation | [['we', 'consider', 'lagrangians', 'in', 'hamiltons', 'principle', 'defined', 'on', 'the', 'tangent', 'space', 'tg', 'of', 'a', 'lie', 'group', 'g', 'invariance', 'of', 'such', 'a', 'lagrangian', 'under', 'the', 'action', 'of', 'g', 'leads', 'to', 'the', 'symmetryreduced', 'eulerlagrange', 'equations', 'called', 'the', 'eulerpoincare', 'equations', 'in', 'this', 'case', 'the', 'invariant', 'lagrangian', 'is', 'defined', 'on', 'the', 'lie', 'algebra', 'of', 'the', 'group', 'and', 'its', 'eulerpoincare', 'equations', 'are', 'defined', 'on', 'the', 'dual', 'lie', 'algebra', 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708.1586 | Multisymplectic and polysymplectic structures on fiber bundles | We introduce the concepts of a multisymplectic structure and a polysymplectic
structure on a general fiber bundle over a general base manifold, define the
concept of the symbol of a multisymplectic form, which is a polysymplectic form
representing its leading order contribution, and prove Darboux theorems for the
existence of canonical local coordinates.
| math.DG math-ph math.MP math.SG | we introduce the concepts of a multisymplectic structure and a polysymplectic structure on a general fiber bundle over a general base manifold define the concept of the symbol of a multisymplectic form which is a polysymplectic form representing its leading order contribution and prove darboux theorems for the existence of canonical local coordinates | [['we', 'introduce', 'the', 'concepts', 'of', 'a', 'multisymplectic', 'structure', 'and', 'a', 'polysymplectic', 'structure', 'on', 'a', 'general', 'fiber', 'bundle', 'over', 'a', 'general', 'base', 'manifold', 'define', 'the', 'concept', 'of', 'the', 'symbol', 'of', 'a', 'multisymplectic', 'form', 'which', 'is', 'a', 'polysymplectic', 'form', 'representing', 'its', 'leading', 'order', 'contribution', 'and', 'prove', 'darboux', 'theorems', 'for', 'the', 'existence', 'of', 'canonical', 'local', 'coordinates']] | [-0.2295067547732648, 0.00176591181002979, -0.12812767265680827, 0.08099082464853055, -0.1582519081333336, -0.06693985371604422, -0.00045918021351099014, 0.28456305206384297, -0.3082010015001837, -0.17460088115536943, 0.06446396198369703, -0.1898910216284248, -0.24366705639744704, 0.11969381282633205, -0.0777363980645841, -0.04466331086038032, 0.04499208396915698, 0.13392085228818204, -0.20126201804586738, -0.16475505041582333, 0.42445391008876404, 0.002767381100159771, 0.239409132302686, -0.011832261598616277, 0.2245475896722022, 0.008751746337368803, -0.013434511609375477, -0.00010964877130287998, -0.13208749313961785, 0.19846466564977505, 0.2377018066439426, 0.08308679013477885, 0.27331195716341994, -0.38879847825276403, -0.18422541032843995, 0.07868186094499421, 0.04180137001259147, 0.053130564211762314, 0.0009480320984708532, -0.2765781136651365, 0.09646475125726901, -0.1788919846755716, -0.1935583553408747, -0.11666433455396162, -0.010198748951672384, 0.027058889456796197, -0.23201323924630107, -0.025013228562080634, 0.1532405351622487, 0.07763460561422245, -0.07121624312811654, -0.012819025766561335, -0.040717218712604836, 0.046965180158193384, -0.03114191777916309, 0.05491622649836091, 0.1133814906209426, -0.057517088106218375, -0.10911191338321792, 0.41885463172956455, -0.06425766354505816, -0.30357443735021045, 0.0592826755611964, -0.07639737182982126, -0.17921943224544795, 0.126297130723888, 0.15589350328411697, 0.17691797499417522, -0.11244354188169862, 0.13245649786294275, -0.06683701684452453, 0.09591980735367199, 0.11292013206150171, 0.03837312282862598, 0.15751329726838278, 0.14034364238943695, 0.09686727138271309, 0.12773119904241473, -0.05602432889775988, -0.15532601090534678, -0.379355659181217, -0.2819754808860005, -0.09061976541536597, 0.15856579091962217, -0.11538597429116292, -0.20781048968926352, 0.45834177591012054, 0.009768971786746438, 0.21354177397377086, 0.11986803864612121, 0.25547508682335185, 0.08824541040076786, 0.0744474447103885, 0.053424189086862896, 0.16103749289089497, 0.24402171185345584, 0.07723273993865147, -0.09944513449796809, -0.02122169063549559, 0.1907871811176246] |
708.1587 | Quantum theory and the observation problem | Quantum theory is applicable, in principle, to both the microscopic and
macroscopic realms. It is therefore worthwhile to investigate whether it is
possible to evolve a quantum-compatible view of the properties and states of
macroscopic objects in everyday thinking. It will allow a realistic
interpretation of quantum theory in a manner directly consistent with the
observations. The construction of such a view will provide a solution to what I
term the observation problem. Toward solving the observation problem, I
identify a category of new objective properties called 'relational properties'
that are (so to speak) in-between primary and secondary properties. We
regularly associate such properties with everyday objects, and I discuss how in
fact these are quantum-compatible. If this relational-property viewpoint could
be worked into quantum theory, it would altogether avoid the measurement
problem, which is an artifact of our current inconsistent (albeit pragmatically
successful) strategy of retaining a classical view of the macroscopic world
while applying quantum theory to the microscopic world. Some implications of
the relational property viewpoint to neurobiological issues underlying
cognition are touched upon.
| quant-ph | quantum theory is applicable in principle to both the microscopic and macroscopic realms it is therefore worthwhile to investigate whether it is possible to evolve a quantumcompatible view of the properties and states of macroscopic objects in everyday thinking it will allow a realistic interpretation of quantum theory in a manner directly consistent with the observations the construction of such a view will provide a solution to what i term the observation problem toward solving the observation problem i identify a category of new objective properties called relational properties that are so to speak inbetween primary and secondary properties we regularly associate such properties with everyday objects and i discuss how in fact these are quantumcompatible if this relationalproperty viewpoint could be worked into quantum theory it would altogether avoid the measurement problem which is an artifact of our current inconsistent albeit pragmatically successful strategy of retaining a classical view of the macroscopic world while applying quantum theory to the microscopic world some implications of the relational property viewpoint to neurobiological issues underlying cognition are touched upon | [['quantum', 'theory', 'is', 'applicable', 'in', 'principle', 'to', 'both', 'the', 'microscopic', 'and', 'macroscopic', 'realms', 'it', 'is', 'therefore', 'worthwhile', 'to', 'investigate', 'whether', 'it', 'is', 'possible', 'to', 'evolve', 'a', 'quantumcompatible', 'view', 'of', 'the', 'properties', 'and', 'states', 'of', 'macroscopic', 'objects', 'in', 'everyday', 'thinking', 'it', 'will', 'allow', 'a', 'realistic', 'interpretation', 'of', 'quantum', 'theory', 'in', 'a', 'manner', 'directly', 'consistent', 'with', 'the', 'observations', 'the', 'construction', 'of', 'such', 'a', 'view', 'will', 'provide', 'a', 'solution', 'to', 'what', 'i', 'term', 'the', 'observation', 'problem', 'toward', 'solving', 'the', 'observation', 'problem', 'i', 'identify', 'a', 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708.1588 | Vorticity and Magnetic Field Generation from Initial Anisotropy in
Ultrarelativistic Gamma-Ray Burst Blastwaves | Because conical segments of quasispherical ultrarelativistic blastwaves are
causally disconnected on angular scales larger than the blastwave inverse
Lorentz factor, astrophysical blastwaves can sustain initial anisotropy,
imprinted by the process that drives the explosion, while they remain
relativistic. We show that initial angular energy fluctuations in
ultrarelativistic blastwaves imply a production of vorticity in the blastwave,
and calculate the vortical energy production rate. In gamma-ray burst (GRB)
afterglows, the number of vortical eddy turnovers as the shocked fluid crosses
the blastwave shell is about unity for marginally nonlinear anisotropy. Thus
the anisotropy must be nonlinear to explain the magnetic energy density
inferred in measured GRB spectra.
| astro-ph | because conical segments of quasispherical ultrarelativistic blastwaves are causally disconnected on angular scales larger than the blastwave inverse lorentz factor astrophysical blastwaves can sustain initial anisotropy imprinted by the process that drives the explosion while they remain relativistic we show that initial angular energy fluctuations in ultrarelativistic blastwaves imply a production of vorticity in the blastwave and calculate the vortical energy production rate in gammaray burst grb afterglows the number of vortical eddy turnovers as the shocked fluid crosses the blastwave shell is about unity for marginally nonlinear anisotropy thus the anisotropy must be nonlinear to explain the magnetic energy density inferred in measured grb spectra | [['because', 'conical', 'segments', 'of', 'quasispherical', 'ultrarelativistic', 'blastwaves', 'are', 'causally', 'disconnected', 'on', 'angular', 'scales', 'larger', 'than', 'the', 'blastwave', 'inverse', 'lorentz', 'factor', 'astrophysical', 'blastwaves', 'can', 'sustain', 'initial', 'anisotropy', 'imprinted', 'by', 'the', 'process', 'that', 'drives', 'the', 'explosion', 'while', 'they', 'remain', 'relativistic', 'we', 'show', 'that', 'initial', 'angular', 'energy', 'fluctuations', 'in', 'ultrarelativistic', 'blastwaves', 'imply', 'a', 'production', 'of', 'vorticity', 'in', 'the', 'blastwave', 'and', 'calculate', 'the', 'vortical', 'energy', 'production', 'rate', 'in', 'gammaray', 'burst', 'grb', 'afterglows', 'the', 'number', 'of', 'vortical', 'eddy', 'turnovers', 'as', 'the', 'shocked', 'fluid', 'crosses', 'the', 'blastwave', 'shell', 'is', 'about', 'unity', 'for', 'marginally', 'nonlinear', 'anisotropy', 'thus', 'the', 'anisotropy', 'must', 'be', 'nonlinear', 'to', 'explain', 'the', 'magnetic', 'energy', 'density', 'inferred', 'in', 'measured', 'grb', 'spectra']] | [-0.13031774987730216, 0.2715874006137041, -0.08214663627188441, 0.1949128703921266, -0.10301919922865224, -0.07678753749977024, -0.0982914068165042, 0.38115216968229637, -0.24908811338948753, -0.2884986584408666, -0.014097058780948227, -0.26190559700447713, 0.10309859508108173, 0.20190210482102866, 0.06862711986166618, -0.033948829915936826, 0.10202581020739843, -0.043217722757034144, -0.024121981084496133, -0.14177362095424026, 0.3185583372020496, 0.17165040839814916, 0.2455673112049655, 0.05341682828224774, 0.08428568181247925, -0.09985262895978214, 0.001214678286144264, 0.0180772094161443, -0.16259407687930605, -0.015317609502916347, 0.18728739310293194, 0.050442119814314935, 0.16741568239774765, -0.47436391409345957, -0.2870479984096919, 0.09829563862890695, 0.2096128053611742, 0.08844429033342749, -0.011561498473143592, -0.2350084547410315, 0.02120982646010816, -0.22347749413193185, -0.18864478910658158, 0.012741730689018403, 0.0376753702513733, 0.067342368797465, -0.21598826360203466, 0.21315334720607354, 0.03514941876538906, -0.01082647323415105, -0.10453538834293075, -0.02533999689907398, -0.11076690084169144, -0.020980093487591115, 0.14237271776210894, 0.06449261606003176, 0.23430396776804524, -0.18404570512719592, -0.00808234627024745, 0.4191847733344953, -0.0301946240620312, -0.06130059697788279, 0.11084729634809641, -0.24808157040772713, -0.10979748780417414, 0.2701095461950831, 0.19413018941479507, 0.0190899232841747, -0.11135801349059274, -0.008044226564585566, 0.012377261477390761, 0.15263527199924695, 0.08923074392434913, 0.03299256733987691, 0.284198577814507, 0.1038815812372497, -0.010207165243490687, 0.09190903298110913, -0.16286697697096486, -0.04578070761416248, -0.3149352204230315, -0.10466415504924953, -0.19848036428667465, 0.15728189504292425, -0.15423905355666373, -0.12235201120306298, 0.3727364801199896, 0.10002950820984002, 0.2014312014458174, -0.014951970221755921, 0.2936255313315482, 0.09026290675875608, 0.02449879293189437, 0.22779926348407314, 0.35753345155631594, 0.14352266856179274, 0.15758324058216838, -0.26352878402641816, 0.1120489737467032, 0.051108575278875544] |
708.1589 | On the gap probability generating function at the spectrum edge in the
case of orthogonal symmetry | The gap probability generating function has as its coefficients the
probability of an interval containing exactly $k$ eigenvalues. For scaled
random matrices with orthogonal symmetry, and the interval at the hard or soft
spectrum edge, the gap probability generating functions have the special
property that they can be evaluated in terms of Painlev\'e transcendents. The
derivation of these results makes use of formulas for the same generating
function in certain scaled, superimposed ensembles expressed in terms of its
correlation functions. It is shown that by a judicious choice of the
superimposed ensembles, the scaled limit necessary to derive these formulas can
be rigorously justified by a straight forward analysis.
| math-ph math.MP | the gap probability generating function has as its coefficients the probability of an interval containing exactly k eigenvalues for scaled random matrices with orthogonal symmetry and the interval at the hard or soft spectrum edge the gap probability generating functions have the special property that they can be evaluated in terms of painleve transcendents the derivation of these results makes use of formulas for the same generating function in certain scaled superimposed ensembles expressed in terms of its correlation functions it is shown that by a judicious choice of the superimposed ensembles the scaled limit necessary to derive these formulas can be rigorously justified by a straight forward analysis | [['the', 'gap', 'probability', 'generating', 'function', 'has', 'as', 'its', 'coefficients', 'the', 'probability', 'of', 'an', 'interval', 'containing', 'exactly', 'k', 'eigenvalues', 'for', 'scaled', 'random', 'matrices', 'with', 'orthogonal', 'symmetry', 'and', 'the', 'interval', 'at', 'the', 'hard', 'or', 'soft', 'spectrum', 'edge', 'the', 'gap', 'probability', 'generating', 'functions', 'have', 'the', 'special', 'property', 'that', 'they', 'can', 'be', 'evaluated', 'in', 'terms', 'of', 'painleve', 'transcendents', 'the', 'derivation', 'of', 'these', 'results', 'makes', 'use', 'of', 'formulas', 'for', 'the', 'same', 'generating', 'function', 'in', 'certain', 'scaled', 'superimposed', 'ensembles', 'expressed', 'in', 'terms', 'of', 'its', 'correlation', 'functions', 'it', 'is', 'shown', 'that', 'by', 'a', 'judicious', 'choice', 'of', 'the', 'superimposed', 'ensembles', 'the', 'scaled', 'limit', 'necessary', 'to', 'derive', 'these', 'formulas', 'can', 'be', 'rigorously', 'justified', 'by', 'a', 'straight', 'forward', 'analysis']] | [-0.13414225303418423, 0.11591970930295172, -0.09708686294076845, 0.08567484405528275, -0.02392187830992043, -0.12364520182098271, 0.044554288504397445, 0.38297849083575636, -0.2676195856845946, -0.25432133402487417, 0.08809685143278997, -0.2610103052703305, -0.13977420592569498, 0.1650786108589398, -0.00985467501936284, 0.1127346409901276, 0.05191575949840726, 0.0663819518997633, -0.12398856273882193, -0.22037134732230815, 0.29735702776922546, 0.05141774459032837, 0.268599647637713, 0.051227062688542345, 0.09766896669710175, 0.03998486678022037, -0.00961625115057334, 0.0022927788897938685, -0.08350495700663012, 0.09179948273578385, 0.24950629039966596, 0.11038072088545342, 0.23895904464954767, -0.3886733527098774, -0.16933864859197664, 0.12850594182216793, 0.17379107906423305, 0.03954159148857681, 0.026627222618617868, -0.2499341796656404, 0.10364578541265715, -0.14929491693128344, -0.19323815655715149, -0.08130663614976433, 0.024457533771189255, 0.08286729792491832, -0.29717054448534796, 0.06372344338360729, 0.07861512065480608, 0.022720960302090427, 0.012257905996302058, -0.1429832236106516, -0.011466862202340037, 0.13271610054546334, 0.049986142064914654, -0.003907773284873831, 0.0906325694474759, -0.10772512636121807, -0.09292877016539916, 0.35542749342670954, -0.0676503902079042, -0.2617682601995937, 0.10419257523902102, -0.14929534737533384, -0.11898282140390862, 0.14081995985139623, 0.11359958826145584, 0.1201075414973183, -0.16332227754654413, 0.10444148466655336, -0.06628020967670861, 0.13287484630463867, 0.13313917985715723, 0.04785177235944419, 0.1957651969694763, 0.027858209437391628, 0.034535484065925444, 0.17679488741356983, -0.02853282743321578, -0.09464417958905527, -0.3362306254497225, -0.11090445934171113, -0.25494933799934494, 0.04227752955480897, -0.13406221861211443, -0.20604420321381547, 0.39574971206383697, 0.07966602771380625, 0.23424226104136592, 0.09798215167092826, 0.19995473992557974, 0.2744013842423831, 0.07546117014909556, 0.04341636765897787, 0.1661037907619542, 0.14473280938632718, 0.04527301587796676, -0.16995126665612564, 0.08982917376785376, 0.11178718409031083] |
708.159 | On the construction of Nadel multiplier ideal sheaves and the limiting
behavior of the Ricci flow | In this note we construct Nadel multiplier ideal sheaves using the Ricci flow
on Fano manifolds. This extends a result of Phong, Sesum and Sturm. These
sheaves, like their counterparts constructed by Nadel for the continuity
method, can be used to obtain an existence criterion for Kahler-Einstein
metrics.
| math.DG | in this note we construct nadel multiplier ideal sheaves using the ricci flow on fano manifolds this extends a result of phong sesum and sturm these sheaves like their counterparts constructed by nadel for the continuity method can be used to obtain an existence criterion for kahlereinstein metrics | [['in', 'this', 'note', 'we', 'construct', 'nadel', 'multiplier', 'ideal', 'sheaves', 'using', 'the', 'ricci', 'flow', 'on', 'fano', 'manifolds', 'this', 'extends', 'a', 'result', 'of', 'phong', 'sesum', 'and', 'sturm', 'these', 'sheaves', 'like', 'their', 'counterparts', 'constructed', 'by', 'nadel', 'for', 'the', 'continuity', 'method', 'can', 'be', 'used', 'to', 'obtain', 'an', 'existence', 'criterion', 'for', 'kahlereinstein', 'metrics']] | [-0.14746444179521254, -0.058517053584788904, -0.15513649821514264, 0.14117781314901853, -0.10514517830840002, -0.15986308619418801, -0.04917610401753336, 0.3355430711429411, -0.28462903122029576, -0.19352163745012754, 0.16002005291860164, -0.228026156546548, -0.1746647662560766, 0.2482287921011448, -0.2299759844512058, 0.04219651804305613, 0.033746837444293, 0.004892828098187844, -0.08133093135741849, -0.3039839672953046, 0.4947023547720164, -0.009110588289331645, 0.26389896487429115, 0.11493965121917427, 0.08808274957103397, -0.019940168499791373, -0.005541343610578527, -0.02353578997038615, -0.2427199281034215, 0.1742188049441514, 0.27663667137676384, 0.0772210287686903, 0.17184284965818128, -0.34816823977356154, -0.17957703784729043, 0.17661935183180807, 0.1067490407973916, 0.04812405056630572, -0.011543488355528098, -0.3261825672428434, 0.12530915782554075, -0.15250109287444502, -0.209740281249348, -0.1763892585877329, -0.05367748350060234, 0.059936803833503895, -0.22240327779824534, 0.02803862236517792, 0.14106765432128063, 0.0783454565826105, -0.11549191215696435, -0.07850917600444518, -0.02579774134210311, 0.029773197903220232, -0.017666599169994395, 0.05586797036812641, 0.08698183632805012, -0.06467765726241244, -0.14601833598377803, 0.2898010377927373, -0.1677265050044904, -0.2903194589695583, 0.12091852458737169, -0.016553858382394537, -0.09127599520919223, 0.07558499296040584, 0.08356739247877461, 0.25239765173076495, -0.0595320344097369, 0.09087717940443933, -0.10360223515211449, 0.04327697826859852, 0.17207309011913216, 0.01300907195157682, 0.08203026947254936, 0.08917352608599079, 0.15492895055407038, 0.1048288637418106, -0.002043568679558424, 0.019677649843894567, -0.348115035740193, -0.2308833827264607, -0.12077799244677105, 0.22951079748842554, -0.08846137078429213, -0.17038534493379606, 0.3925855727453988, 0.07000539540119159, 0.1783492295847585, 0.1630260459157095, 0.21663770615123212, 0.04854251176584512, 0.0018391335955432926, 0.08029924725027134, 0.24870447806703547, 0.2420667153831649, 0.08833150128096652, -0.07456029365736565, -0.05313530103497518, 0.3072950433027775] |
708.1591 | Every sum system is divisible | We show that every sum system is divisible. Combined with B. V. R. Bhat and
R. Srinivasan's result, this shows that every product system arising from a sum
system (and every generalized CCR flow) is either of type I or type III. A
necessarily and sufficient condition for such a product system to be of type I
is obtained.
| math.OA math.FA | we show that every sum system is divisible combined with b v r bhat and r srinivasans result this shows that every product system arising from a sum system and every generalized ccr flow is either of type i or type iii a necessarily and sufficient condition for such a product system to be of type i is obtained | [['we', 'show', 'that', 'every', 'sum', 'system', 'is', 'divisible', 'combined', 'with', 'b', 'v', 'r', 'bhat', 'and', 'r', 'srinivasans', 'result', 'this', 'shows', 'that', 'every', 'product', 'system', 'arising', 'from', 'a', 'sum', 'system', 'and', 'every', 'generalized', 'ccr', 'flow', 'is', 'either', 'of', 'type', 'i', 'or', 'type', 'iii', 'a', 'necessarily', 'and', 'sufficient', 'condition', 'for', 'such', 'a', 'product', 'system', 'to', 'be', 'of', 'type', 'i', 'is', 'obtained']] | [-0.16572729963809252, 0.0622631101186612, -0.06296097426193542, -0.03979168168734759, -0.017633727462641125, -0.23177804538562638, 0.021142487566725446, 0.3296309144332491, -0.33405656961659935, -0.1922439350907145, 0.15218705933637403, -0.26719981671214615, -0.15054468024955614, 0.17409211196053517, -0.0870093038739187, -0.09786760511583295, 0.12410476296369372, 0.08472128997653208, -0.05765431818295399, -0.22221941861388242, 0.3675759947248574, -0.0724851186487599, 0.20270638271427616, 0.02899002405044077, 0.11077967958910198, 0.04414432878422366, -0.03336586085838619, 0.11233180944390338, -0.11376036911653876, 0.0664404411117771, 0.1448511639047928, 0.2037234821132031, 0.24921955598243772, -0.29624228783258927, -0.13829338825147214, 0.19136001202598985, 0.11074277738526721, 0.01706592884749688, 0.012605345705604374, -0.23755775941214685, 0.13852400430638728, -0.2652057321292573, -0.12992112703043326, -0.027914525961085897, 0.08562835437598927, 0.05817370786299479, -0.3991407125160612, 0.04597599724917833, 0.1380872993312519, 0.05744593948174011, -0.06700737034131227, -0.11917977993665584, -0.042255084544163324, 0.08066517743683452, -0.03517877184866189, 0.06150472751850712, 0.05740193193999183, -0.040905620778332756, -0.07781759179036679, 0.3880282273708746, -0.08603182361172192, -0.1930979823629404, 0.18618748410893926, -0.1434765737343194, -0.10840569813896356, 0.09537090059642776, 0.08448558349708288, 0.10555280423883734, -0.10523876748529487, 0.09322602112058967, -0.0947190140101031, 0.15856303268208585, 0.02084851383777528, -0.002317483745643805, 0.1639891640154709, 0.09891874827283981, 0.10339411682096021, 0.1045091740670614, -0.001994758587459038, 0.04890659275657401, -0.3922033614382662, -0.2018810367404387, -0.19091243000203295, 0.1535959199938024, -0.03634335677032078, -0.13860684869297105, 0.3307138832671375, 0.016321602421973287, 0.15582735391719074, 0.04147616544224579, 0.2166764044588239, 0.1720530308877391, 0.05086173137734194, 0.1321703854643194, 0.11757217753068383, 0.12241948297215176, 0.06568178977688839, -0.14662462437991053, 0.01628321279161449, 0.1368793316530706] |
708.1592 | Other Exotic Scenarios at the LHC | The considerable center-of-mass energy and luminosity provided by the Large
Hadron Collider (LHC) will ensure a discovery reach for new particles which
extends well into the multi-TeV region. ATLAS and CMS have carried out many
studies of the implications of this capability for Beyond the Standard Model
physics. In this paper, we summarize some key results of studies involving
non-susy models, such as extra-dimensions, little higgs, compositeness, and
left-right symmetric models.
| hep-ex | the considerable centerofmass energy and luminosity provided by the large hadron collider lhc will ensure a discovery reach for new particles which extends well into the multitev region atlas and cms have carried out many studies of the implications of this capability for beyond the standard model physics in this paper we summarize some key results of studies involving nonsusy models such as extradimensions little higgs compositeness and leftright symmetric models | [['the', 'considerable', 'centerofmass', 'energy', 'and', 'luminosity', 'provided', 'by', 'the', 'large', 'hadron', 'collider', 'lhc', 'will', 'ensure', 'a', 'discovery', 'reach', 'for', 'new', 'particles', 'which', 'extends', 'well', 'into', 'the', 'multitev', 'region', 'atlas', 'and', 'cms', 'have', 'carried', 'out', 'many', 'studies', 'of', 'the', 'implications', 'of', 'this', 'capability', 'for', 'beyond', 'the', 'standard', 'model', 'physics', 'in', 'this', 'paper', 'we', 'summarize', 'some', 'key', 'results', 'of', 'studies', 'involving', 'nonsusy', 'models', 'such', 'as', 'extradimensions', 'little', 'higgs', 'compositeness', 'and', 'leftright', 'symmetric', 'models']] | [-0.020940325580353678, 0.15375728158831176, -0.043379929985746114, 0.1406634091957092, -0.09443043182853242, -0.15472811541165893, -0.018636885779568742, 0.291408016884201, -0.19114326303300094, -0.32144905974380145, 0.09809193508142054, -0.26371373348987437, -0.03081104786358249, 0.19124370747455724, 0.017145136295420995, 0.12536413703953297, 0.1091555248499966, -0.052496186746153195, -0.043647691515654743, -0.23644057149723383, 0.2677863693901036, 0.1425618163349343, 0.19881097700866596, 0.157733932596592, 0.08998123210736773, 0.009913559524263715, -0.06778594602922529, -0.04022052160031359, -0.1530548297459076, 0.10057373108788276, 0.26555295155228287, 0.13222174229047878, 0.2169765987971299, -0.3878426776123299, -0.19693381226503512, 0.18947041630220246, 0.18227457937220454, 0.10208446505433605, -0.12548269866637782, -0.330258639385058, 0.09463711054733312, -0.28565281714824303, -0.14090778259560466, -0.045863215227834354, -0.0438601023215853, -0.056577461771667004, -0.25656008366233024, 0.023278356756044314, 0.005164702726252587, 0.07434577618489488, -0.011571159992944186, -0.21124525065205887, -0.027182021981734836, 0.009324070512199066, 0.15592326965383058, -0.014981639387846832, 0.13830267429404275, -0.22759961856948868, -0.20504602822671894, 0.35431511683100964, -0.020783719436173707, -0.1345030997984741, 0.2533662422448659, -0.20484176054465728, -0.201211848532335, 0.08735870529281002, 0.274160158321996, 0.0555455311870491, -0.18437163425530767, 0.2013273860211484, -0.06220756477715684, 0.14383146652630466, 0.034702197005841096, 0.0883478722731832, 0.2900601680239689, 0.274294234471212, 0.03355307583483985, 0.07833226840011775, -0.08571401770672643, -0.11538916956764501, -0.4696562142754105, -0.1236640838906169, -0.0795093341009088, 0.0018934733119570243, -0.027074825732917918, -0.033807386322812716, 0.4079255490813037, 0.16797115957539882, 0.2786837568060613, 0.009499489308439826, 0.2588523372230579, 0.0196997629803225, 0.12550490052303181, 0.02608984593088037, 0.34528918067381953, 0.0881678845871135, 0.1829679897973235, -0.17313365550944582, -0.02654800854433118, 0.03118416771922313] |
708.1593 | Updating Probabilities with Data and Moments | We use the method of Maximum (relative) Entropy to process information in the
form of observed data and moment constraints. The generic "canonical" form of
the posterior distribution for the problem of simultaneous updating with data
and moments is obtained. We discuss the general problem of non-commuting
constraints, when they should be processed sequentially and when
simultaneously. As an illustration, the multinomial example of die tosses is
solved in detail for two superficially similar but actually very different
problems.
| physics.data-an cs.IT math.IT math.ST physics.comp-ph physics.pop-ph stat.AP stat.CO stat.ME stat.TH | we use the method of maximum relative entropy to process information in the form of observed data and moment constraints the generic canonical form of the posterior distribution for the problem of simultaneous updating with data and moments is obtained we discuss the general problem of noncommuting constraints when they should be processed sequentially and when simultaneously as an illustration the multinomial example of die tosses is solved in detail for two superficially similar but actually very different problems | [['we', 'use', 'the', 'method', 'of', 'maximum', 'relative', 'entropy', 'to', 'process', 'information', 'in', 'the', 'form', 'of', 'observed', 'data', 'and', 'moment', 'constraints', 'the', 'generic', 'canonical', 'form', 'of', 'the', 'posterior', 'distribution', 'for', 'the', 'problem', 'of', 'simultaneous', 'updating', 'with', 'data', 'and', 'moments', 'is', 'obtained', 'we', 'discuss', 'the', 'general', 'problem', 'of', 'noncommuting', 'constraints', 'when', 'they', 'should', 'be', 'processed', 'sequentially', 'and', 'when', 'simultaneously', 'as', 'an', 'illustration', 'the', 'multinomial', 'example', 'of', 'die', 'tosses', 'is', 'solved', 'in', 'detail', 'for', 'two', 'superficially', 'similar', 'but', 'actually', 'very', 'different', 'problems']] | [-0.060434672943186725, 0.08667273593855038, -0.08705687169810827, 0.10887039942189161, -0.08560145737108173, -0.14603014063986042, 0.04664241235269988, 0.3724093453345608, -0.3173124040889589, -0.32097935983085935, 0.13455520006474345, -0.277756356659251, -0.09145750327012207, 0.18329765044058424, -0.07524142303515839, 0.05231195122970245, 0.09498344552467423, 0.07553175313374665, -0.08416533413125037, -0.2902554656037047, 0.3309948614362297, 0.04010199354607848, 0.26579404370034043, -0.010883373485382977, 0.1122539929744988, 0.027416217076014493, -0.015046237614241582, 0.037728934336595146, -0.09805938577326605, 0.10781568773621339, 0.25042195995397204, 0.19844912431096728, 0.2457030227502124, -0.44302356210124644, -0.1352656847809123, 0.13735963062300713, 0.13736353486133857, 0.10915768349873303, 0.0020816486706084843, -0.2360750451165287, 0.04584145064070037, -0.1423202331835121, -0.10166540049912431, -0.07714414317160845, -0.00838140995076657, 0.03476498820052683, -0.33411133456739445, 0.10058309446690203, 0.06984605125302251, 0.016738915533016, -0.058732095696149934, -0.13396308688841807, -0.002355059691339354, 0.12230555921029654, 0.07656119319962491, -0.022652876718099454, 0.0767372143248544, -0.12009210518304896, -0.07154745317971971, 0.39240397060219245, -0.03983692489741252, -0.21816094849211506, 0.11337252255953566, -0.13777165560499777, -0.18797257029793307, 0.06131803170119153, 0.1515562619683863, 0.14837838439388742, -0.18300298287399125, 0.023380000760949725, -0.0323856185511627, 0.10036912584040739, 0.04629659895561164, -0.0012041041266491425, 0.18956261381648387, 0.10984669196643407, 0.05417570050310674, 0.16395871402088646, -0.07563675003409197, -0.1092579873172637, -0.2863077080891102, -0.15634718777824053, -0.2083253540758845, 0.00012348434604893003, -0.11777971976652558, -0.12901805601778288, 0.34872787343809686, 0.13253968121790433, 0.2414599397820951, 0.04614982852724062, 0.28775035024066514, 0.16509061779007553, 0.017689043779774934, 0.061916661616768454, 0.19138242358554014, 0.10697713849146533, 0.060719233510214125, -0.1872980446920176, 0.09791026863304875, 0.014953040317455424] |
708.1594 | Resonance phenomena in discrete systems with bichromatic input signal | We undertake a detailed numerical study of the twin phenomena of stochastic
and vibrational resonance in a discrete model system in the presence of
bichromatic input signal. A two parameter cubic map is used as the model that
combines the features of both bistable and threshold settings. Our analysis
brings out several interesting results, such as, the existence of a cross over
behaviour from vibrational to stochastic resonance and the possibility of using
stochastic resonance as a filter for the selective detection/transmission of
the component frequencies in a composite signal. The study also reveals a
fundamental difference between the bistable and threshold mechanisms with
respect to amplification of a multi signal input.
| nlin.CD | we undertake a detailed numerical study of the twin phenomena of stochastic and vibrational resonance in a discrete model system in the presence of bichromatic input signal a two parameter cubic map is used as the model that combines the features of both bistable and threshold settings our analysis brings out several interesting results such as the existence of a cross over behaviour from vibrational to stochastic resonance and the possibility of using stochastic resonance as a filter for the selective detectiontransmission of the component frequencies in a composite signal the study also reveals a fundamental difference between the bistable and threshold mechanisms with respect to amplification of a multi signal input | [['we', 'undertake', 'a', 'detailed', 'numerical', 'study', 'of', 'the', 'twin', 'phenomena', 'of', 'stochastic', 'and', 'vibrational', 'resonance', 'in', 'a', 'discrete', 'model', 'system', 'in', 'the', 'presence', 'of', 'bichromatic', 'input', 'signal', 'a', 'two', 'parameter', 'cubic', 'map', 'is', 'used', 'as', 'the', 'model', 'that', 'combines', 'the', 'features', 'of', 'both', 'bistable', 'and', 'threshold', 'settings', 'our', 'analysis', 'brings', 'out', 'several', 'interesting', 'results', 'such', 'as', 'the', 'existence', 'of', 'a', 'cross', 'over', 'behaviour', 'from', 'vibrational', 'to', 'stochastic', 'resonance', 'and', 'the', 'possibility', 'of', 'using', 'stochastic', 'resonance', 'as', 'a', 'filter', 'for', 'the', 'selective', 'detectiontransmission', 'of', 'the', 'component', 'frequencies', 'in', 'a', 'composite', 'signal', 'the', 'study', 'also', 'reveals', 'a', 'fundamental', 'difference', 'between', 'the', 'bistable', 'and', 'threshold', 'mechanisms', 'with', 'respect', 'to', 'amplification', 'of', 'a', 'multi', 'signal', 'input']] | [-0.1302936991701859, 0.060678639128250444, -0.09817863358100792, 0.04294397063272259, -0.050875611569698866, -0.11052410442147169, 0.07914870331349137, 0.3411755193662536, -0.2827222218300711, -0.29509831781903917, 0.07844495384635085, -0.27124618352097163, -0.20024673368043458, 0.2189475154327984, 0.033338296013204635, 0.0687608884915978, 0.03813203748552599, 0.04084156962690522, -0.005432461075870706, -0.10751499202068862, 0.29761441735768907, 0.033083924461525305, 0.2551315126453971, 0.018361930626335444, 0.13158922760772543, 0.007074427809817968, 0.007537370182674479, -0.014502326748124114, -0.09454134356909324, 0.09451013061780113, 0.2307285534801079, 0.09050860220717417, 0.2955554855593086, -0.382479323627981, -0.23789563277937673, 0.1080602830242332, 0.12643792259486955, 0.13211603169035804, -0.05915401661181235, -0.24953804742377084, 0.05503018488604072, -0.12240404873952135, -0.10753039171633956, -0.05798505001642683, -0.022190557255804003, 0.060952460598871785, -0.31378706860112715, 0.0780338352975574, 0.08829800885271381, 0.08043205277440515, -0.06117738830764686, -0.07964253821934632, -0.02603626634447357, 0.09176327055739658, 0.02239637032805665, -0.03225766355591314, 0.12293306823299678, -0.13319755251611676, -0.15015923522144287, 0.37395149780655496, -0.13137219324005298, -0.180573293171521, 0.20446128562000487, -0.120322799905799, -0.11610033464416661, 0.1645619723912295, 0.2094598880471863, 0.09091648560957061, -0.12697203576497668, 0.03653506923945168, -0.028299326823839732, 0.19925945409917617, 0.042091815191245566, 0.05972962803417095, 0.18707818681424535, 0.21048455852763476, 0.0539930574763734, 0.20712796680268472, -0.1444999835766466, -0.12260282903318168, -0.32111791846854193, -0.11379485412056113, -0.12452782210600269, 0.009189607230484955, -0.07474532416709154, -0.16061822068248247, 0.4627123552097662, 0.13576547924412397, 0.24802316149679926, -0.02169100070573591, 0.29890656194163, 0.1266827534754165, 0.023356147899149773, -0.03036394050378386, 0.259654220579578, 0.18532132752541755, 0.0815069046079156, -0.2636018373042781, 0.02559550789914824, -0.013948603889795843] |
708.1595 | A New Spin Foam Model for 4d Gravity | Starting from Plebanski formulation of gravity as a constrained BF theory we
propose a new spin foam model for 4d Riemannian quantum gravity that
generalises the well-known Barrett-Crane model and resolves the inherent to it
ultra-locality problem. The BF formulation of 4d gravity possesses two sectors:
gravitational and topological ones. The model presented here is shown to give a
quantization of the gravitational sector, and is dual to the recently proposed
spin foam model of Engle et al. which, we show, corresponds to the topological
sector. Our methods allow us to introduce the Immirzi parameter into the
framework of spin foam quantisation. We generalize some of our considerations
to the Lorentzian setting and obtain a new spin foam model in that context as
well.
| gr-qc | starting from plebanski formulation of gravity as a constrained bf theory we propose a new spin foam model for 4d riemannian quantum gravity that generalises the wellknown barrettcrane model and resolves the inherent to it ultralocality problem the bf formulation of 4d gravity possesses two sectors gravitational and topological ones the model presented here is shown to give a quantization of the gravitational sector and is dual to the recently proposed spin foam model of engle et al which we show corresponds to the topological sector our methods allow us to introduce the immirzi parameter into the framework of spin foam quantisation we generalize some of our considerations to the lorentzian setting and obtain a new spin foam model in that context as well | [['starting', 'from', 'plebanski', 'formulation', 'of', 'gravity', 'as', 'a', 'constrained', 'bf', 'theory', 'we', 'propose', 'a', 'new', 'spin', 'foam', 'model', 'for', '4d', 'riemannian', 'quantum', 'gravity', 'that', 'generalises', 'the', 'wellknown', 'barrettcrane', 'model', 'and', 'resolves', 'the', 'inherent', 'to', 'it', 'ultralocality', 'problem', 'the', 'bf', 'formulation', 'of', '4d', 'gravity', 'possesses', 'two', 'sectors', 'gravitational', 'and', 'topological', 'ones', 'the', 'model', 'presented', 'here', 'is', 'shown', 'to', 'give', 'a', 'quantization', 'of', 'the', 'gravitational', 'sector', 'and', 'is', 'dual', 'to', 'the', 'recently', 'proposed', 'spin', 'foam', 'model', 'of', 'engle', 'et', 'al', 'which', 'we', 'show', 'corresponds', 'to', 'the', 'topological', 'sector', 'our', 'methods', 'allow', 'us', 'to', 'introduce', 'the', 'immirzi', 'parameter', 'into', 'the', 'framework', 'of', 'spin', 'foam', 'quantisation', 'we', 'generalize', 'some', 'of', 'our', 'considerations', 'to', 'the', 'lorentzian', 'setting', 'and', 'obtain', 'a', 'new', 'spin', 'foam', 'model', 'in', 'that', 'context', 'as', 'well']] | [-0.09244185057750362, 0.1166540757572699, -0.10996911258647038, 0.07436473917914554, -0.1382709318441489, -0.1647426426681059, -0.020532693344941965, 0.26431660354301717, -0.22567884469284646, -0.29755217895510744, 0.04341292668100176, -0.2258048602530072, -0.2378530287213864, 0.13048737174868885, -0.12661796058302804, 0.02707423600405755, -0.033178188079487414, -0.00891174252648207, -0.08959319074112441, -0.21752987574267713, 0.30947457819110563, 0.04816876834299746, 0.26731838659578633, 0.04249944239141299, 0.15540457169164815, 0.040353170907755774, 0.00018787408630634026, 0.04955625445431759, -0.1796452252954975, 0.104371326246051, 0.19005377597791412, 0.0916589837513804, 0.14500142244862452, -0.42345304478095064, -0.2993362047747078, 0.031074356580633792, 0.07629996781507807, 0.1947989632129564, 0.0021014312946898562, -0.32213459552956686, 0.023620546889311124, -0.22942193652946322, -0.1203620513256136, -0.1090267401999764, -0.009216639363477308, -0.1517256299191485, -0.25396749720488104, 0.08684758977934477, 0.08185224516426153, -0.07693669773007353, -0.07768572628828546, -0.08633964120470468, -0.038118544021516196, 0.05650904854654425, 0.07819471686924508, 0.08853645915646226, 0.0780716881554033, -0.10518185630245434, -0.1924377294612162, 0.4039808400275727, -0.06114176189294085, -0.2588551155415424, 0.1666821399027662, -0.12066348040506485, -0.1530074776833757, 0.019487071102635273, 0.11891226862527189, 0.13108073702202208, -0.1230811194174983, 0.17323547667605924, -0.06962339854949424, 0.10395570697202798, 0.03307665200273116, 0.04077905411982248, 0.25440533580108277, 0.14332058424911193, 0.0605196371193855, 0.15626679819017167, -0.07424023488889478, -0.16645526753657783, -0.34283467150394686, -0.18247323365311227, -0.15178505984705784, 0.0774973213537446, -0.08028038714649982, -0.169708008704953, 0.40091068536463764, 0.19800196421865915, 0.14120837570648762, 0.07987816385538017, 0.2137393269147123, 0.07630546596239231, 0.04413808094273742, 0.0409386263706819, 0.2431726453296799, 0.21229576659689267, 0.07698222670531381, -0.22699211284540774, -0.0714177647230005, 0.13405860801257433] |
708.1596 | On similarity classes of well-rounded sublattices of $\mathbb Z^2$ | A lattice is called well-rounded if its minimal vectors span the
corresponding Euclidean space. In this paper we study the similarity classes of
well-rounded sublattices of ${\mathbb Z}^2$. We relate the set of all such
similarity classes to a subset of primitive Pythagorean triples, and prove that
it has structure of a noncommutative infinitely generated monoid. We discuss
the structure of a given similarity class, and define a zeta function
corresponding to each similarity class. We relate it to Dedekind zeta of
${\mathbb Z}[i]$, and investigate the growth of some related Dirichlet series,
which reflect on the distribution of well-rounded lattices. Finally, we
construct a sequence of similarity classes of well-rounded sublattices of
${\mathbb Z}^2$, which gives good circle packing density and converges to the
hexagonal lattice as fast as possible with respect to a natural metric we
define.
| math.NT | a lattice is called wellrounded if its minimal vectors span the corresponding euclidean space in this paper we study the similarity classes of wellrounded sublattices of mathbb z2 we relate the set of all such similarity classes to a subset of primitive pythagorean triples and prove that it has structure of a noncommutative infinitely generated monoid we discuss the structure of a given similarity class and define a zeta function corresponding to each similarity class we relate it to dedekind zeta of mathbb zi and investigate the growth of some related dirichlet series which reflect on the distribution of wellrounded lattices finally we construct a sequence of similarity classes of wellrounded sublattices of mathbb z2 which gives good circle packing density and converges to the hexagonal lattice as fast as possible with respect to a natural metric we define | [['a', 'lattice', 'is', 'called', 'wellrounded', 'if', 'its', 'minimal', 'vectors', 'span', 'the', 'corresponding', 'euclidean', 'space', 'in', 'this', 'paper', 'we', 'study', 'the', 'similarity', 'classes', 'of', 'wellrounded', 'sublattices', 'of', 'mathbb', 'z2', 'we', 'relate', 'the', 'set', 'of', 'all', 'such', 'similarity', 'classes', 'to', 'a', 'subset', 'of', 'primitive', 'pythagorean', 'triples', 'and', 'prove', 'that', 'it', 'has', 'structure', 'of', 'a', 'noncommutative', 'infinitely', 'generated', 'monoid', 'we', 'discuss', 'the', 'structure', 'of', 'a', 'given', 'similarity', 'class', 'and', 'define', 'a', 'zeta', 'function', 'corresponding', 'to', 'each', 'similarity', 'class', 'we', 'relate', 'it', 'to', 'dedekind', 'zeta', 'of', 'mathbb', 'zi', 'and', 'investigate', 'the', 'growth', 'of', 'some', 'related', 'dirichlet', 'series', 'which', 'reflect', 'on', 'the', 'distribution', 'of', 'wellrounded', 'lattices', 'finally', 'we', 'construct', 'a', 'sequence', 'of', 'similarity', 'classes', 'of', 'wellrounded', 'sublattices', 'of', 'mathbb', 'z2', 'which', 'gives', 'good', 'circle', 'packing', 'density', 'and', 'converges', 'to', 'the', 'hexagonal', 'lattice', 'as', 'fast', 'as', 'possible', 'with', 'respect', 'to', 'a', 'natural', 'metric', 'we', 'define']] | [-0.16792336353536347, 0.07866120455357775, -0.06464161018995072, 0.07401899374827153, -0.09979607914607945, -0.0792383153243627, 0.04335379425818168, 0.40186137996828386, -0.3481506260326333, -0.19735821010754276, 0.06008716173748077, -0.3021276962150662, -0.16444806177705099, 0.13732454944535982, -0.06522184673515852, 0.04037237544954426, 0.004847802483081389, 0.10192975712095877, -0.14101048611086062, -0.2857338253026761, 0.39128960462675677, -0.053753683383730676, 0.2372738350025318, 0.011602255576055685, 0.11331977842630242, -0.012213709747432161, -0.018624957731301836, 0.027763800872883444, -0.20916826857058976, 0.16301944573818566, 0.19909093549086465, 0.10456423218388834, 0.2399076671153642, -0.324520774453664, -0.14652632940694582, 0.20468326025515152, 0.10626326344585676, -0.010364007836261348, -0.00708648519466544, -0.2201030665619982, 0.12014688580236632, -0.14679418554070586, -0.12345311355529179, -0.09248234743667806, 0.08153942503410277, 0.0663461221407985, -0.2747280762753644, -0.00342707458226908, 0.07083092058385662, 0.08120979417262854, -0.06172728011712914, -0.09477589675895334, -0.03295403744241477, 0.10672620025282498, 0.03706689080953759, 0.10820842348520725, 0.053803313165072274, -0.05076263323526749, -0.1175162036058982, 0.44407345428258826, -0.020887063670879995, -0.23091840238826308, 0.17418752020399134, -0.17429091123421844, -0.17135333387757376, 0.08489084568062275, 0.14459715135690335, 0.11732236325419207, -0.0530203072602941, 0.13498720834902722, -0.178104606287038, 0.13285106028557467, 0.11379199877729733, 0.04448568415928551, 0.20460992465934735, 0.09996841413391044, 0.08596787402044526, 0.2143159411988295, -0.02549042025574302, -0.06604602693776071, -0.3205600422036519, -0.1994736634040747, -0.19455401790445576, 0.10726385687397484, -0.13956974693632637, -0.2696940041408479, 0.43389528395822474, 0.11832995815939612, 0.2564179117007436, 0.11118789539980642, 0.13985028047878428, 0.06941959099509509, 0.06849561126152282, 0.028184044511533148, 0.059106201276211606, 0.15104703863298774, -0.04078307908979787, -0.1568290254506517, -0.010040715671807742, 0.18532369317480182] |
708.1597 | New lower bounds on the non-zero capacity of Pauli Channels | We study encodings that give the best known thresholds for the non-zero
capacity of quantum channels, i.e., the upper bound for correctable noise,
using an entropic approach to calculation of the threshold values. Our results
show that Pauli noise is correctable up to the hashing bound. For a
depolarizing channel, this approach allows one to achieve a non-zero capacity
for a fidelity (probability of no error) of f=0.80870.
| quant-ph | we study encodings that give the best known thresholds for the nonzero capacity of quantum channels ie the upper bound for correctable noise using an entropic approach to calculation of the threshold values our results show that pauli noise is correctable up to the hashing bound for a depolarizing channel this approach allows one to achieve a nonzero capacity for a fidelity probability of no error of f080870 | [['we', 'study', 'encodings', 'that', 'give', 'the', 'best', 'known', 'thresholds', 'for', 'the', 'nonzero', 'capacity', 'of', 'quantum', 'channels', 'ie', 'the', 'upper', 'bound', 'for', 'correctable', 'noise', 'using', 'an', 'entropic', 'approach', 'to', 'calculation', 'of', 'the', 'threshold', 'values', 'our', 'results', 'show', 'that', 'pauli', 'noise', 'is', 'correctable', 'up', 'to', 'the', 'hashing', 'bound', 'for', 'a', 'depolarizing', 'channel', 'this', 'approach', 'allows', 'one', 'to', 'achieve', 'a', 'nonzero', 'capacity', 'for', 'a', 'fidelity', 'probability', 'of', 'no', 'error', 'of', 'f080870']] | [-0.16503530885301418, 0.12279130818184167, -0.07021621359623413, 0.09476918291383937, 0.011958017660332705, -0.21120540264632498, 0.19211347250670974, 0.3217309840273724, -0.22034846916238762, -0.26933721104052977, 0.0619279629995685, -0.2472413605004775, -0.13189144666070368, 0.24974347603743646, -0.08587314145215579, 0.11878009225826523, 0.07039132213859416, 0.12140514876749088, -0.09011634602558924, -0.3066290178572509, 0.29288417166237957, 0.10654986412924673, 0.2731944923636629, 0.0925721092177416, 0.09292880122535932, -0.03406886008755763, 0.04147643833282167, -0.03889913997376588, -0.17233805963878152, 0.11491851137478405, 0.24599930521364866, 0.12883673349061786, 0.2270184100341441, -0.31800310370693013, -0.2182007319738727, 0.12050600119331267, 0.08494697902490621, 0.19100168986774202, -0.043277352506211446, -0.2772598242831986, 0.12875476148702317, -0.18663562151756305, -0.05518156149660918, -0.10728986956762956, -0.004392658951066768, -0.06375876795014006, -0.37643150716964435, 0.09102288156108403, 0.14402594069130162, -0.025742469095267048, -0.02254093724125718, -0.16680880837531678, 0.0929425308904819, 0.1545940398433204, -0.038964590022979834, 0.02611820974540132, 0.08724849067155772, -0.14106789742485246, -0.1558205282816024, 0.2884849275726436, -0.08873237951644766, -0.22567540537496444, 0.09570086599456203, -0.11628327896095701, -0.0714038198730394, 0.1658918393998226, 0.1833318529247459, 0.06380902968152467, -0.15114411948693554, 0.04998418142490867, -0.034589731454182024, 0.21691864061711438, 0.07932488261652526, 0.14894764598479857, 0.08293359042770827, 0.09675531589718007, 0.16064527932443282, 0.21218261324605947, -0.12486422920265972, -0.10441961713524452, -0.3246133125651239, -0.1599958768868541, -0.23735760958559476, 0.06819819789136579, -0.10138794279365397, -0.1494284198522123, 0.31649231691080243, 0.18152229140387544, 0.19450514764983706, 0.1659122693088295, 0.3433312941620599, 0.12320131835103758, 0.051462322779333415, 0.1313197971808154, 0.23039523078434504, 0.19372808692782229, -0.04545553002172886, -0.22579991153733275, 0.09911149299578435, 0.02515049462220562] |
708.1598 | Genomes: at the edge of chaos with maximum information capacity | We propose an order index, phi, which quantifies the notion of ``life at the
edge of chaos'' when applied to genome sequences. It maps genomes to a number
from 0 (random and of infinite length) to 1 (fully ordered) and applies
regardless of sequence length. The 786 complete genomic sequences in GenBank
were found to have phi values in a very narrow range, 0.037+/-0.027. We show
this implies that genomes are halfway towards being completely random, namely,
at the edge of chaos. We argue that this narrow range represents the
neighborhood of a fixed-point in the space of sequences, and genomes are driven
there by the dynamics of a robust, predominantly neutral evolution process.
| q-bio.GN | we propose an order index phi which quantifies the notion of life at the edge of chaos when applied to genome sequences it maps genomes to a number from 0 random and of infinite length to 1 fully ordered and applies regardless of sequence length the 786 complete genomic sequences in genbank were found to have phi values in a very narrow range 00370027 we show this implies that genomes are halfway towards being completely random namely at the edge of chaos we argue that this narrow range represents the neighborhood of a fixedpoint in the space of sequences and genomes are driven there by the dynamics of a robust predominantly neutral evolution process | [['we', 'propose', 'an', 'order', 'index', 'phi', 'which', 'quantifies', 'the', 'notion', 'of', 'life', 'at', 'the', 'edge', 'of', 'chaos', 'when', 'applied', 'to', 'genome', 'sequences', 'it', 'maps', 'genomes', 'to', 'a', 'number', 'from', '0', 'random', 'and', 'of', 'infinite', 'length', 'to', '1', 'fully', 'ordered', 'and', 'applies', 'regardless', 'of', 'sequence', 'length', 'the', '786', 'complete', 'genomic', 'sequences', 'in', 'genbank', 'were', 'found', 'to', 'have', 'phi', 'values', 'in', 'a', 'very', 'narrow', 'range', '00370027', 'we', 'show', 'this', 'implies', 'that', 'genomes', 'are', 'halfway', 'towards', 'being', 'completely', 'random', 'namely', 'at', 'the', 'edge', 'of', 'chaos', 'we', 'argue', 'that', 'this', 'narrow', 'range', 'represents', 'the', 'neighborhood', 'of', 'a', 'fixedpoint', 'in', 'the', 'space', 'of', 'sequences', 'and', 'genomes', 'are', 'driven', 'there', 'by', 'the', 'dynamics', 'of', 'a', 'robust', 'predominantly', 'neutral', 'evolution', 'process']] | [-0.1455346814622542, 0.1972337086012523, -0.05964571227673936, 0.05854209159782985, 0.022131704094827967, -0.08414397388284581, 0.05816298185958964, 0.3940505316167806, -0.32171217902703625, -0.2535942792562784, 0.07678957715057727, -0.26336647246230754, -0.13652085877987927, 0.149692396246993, -0.07163070108833534, 0.009944450852087188, 0.0719844023903123, 0.05904944127104122, 0.012469640005775521, -0.20708710088217383, 0.3120041001831239, 3.802536500502476e-05, 0.2244593824849225, -0.02330465213008291, 0.08615120911385567, -0.017730996983158772, -0.02154541827493092, 0.022899517115458963, -0.15136114491082303, 0.10239643602739129, 0.25454439662924383, 0.14740547733958317, 0.318034966500987, -0.3413173659350229, -0.17203727980202013, 0.1413948840206176, 0.17387558253012203, 0.1266636776035256, -0.021290321719000298, -0.2556045781614968, 0.17621025085383285, -0.0999035258783621, -0.10059190832853185, -0.028363343937615082, 0.08450696499481493, 0.017101642065805143, -0.26482214501737494, 0.06382250113812465, 0.053353218889210074, 0.09201615971649083, -0.009064712326775873, -0.09945515812523004, -0.029514270638882192, 0.1501095749479533, 0.03681845198961313, 0.06684969015732671, 0.13063637237270584, -0.08329136839928594, -0.10237168755580102, 0.3412791674017115, -0.06368065861041403, -0.154478354169369, 0.19948887643692767, -0.18053876208471117, -0.15877943745591735, 0.172841515672286, 0.11946120192255594, 0.09030988894452431, -0.11785182367407086, 0.07586197453124481, -0.02476672194403621, 0.21057470972480796, 0.0940306588875509, 0.038723799573109216, 0.22036037850399723, 0.1485416291475263, 0.08107704860343705, 0.15721881148030373, -0.08292537370482378, -0.11109404681266936, -0.24902030054183133, -0.14241110233062532, -0.161571290735485, 0.0473491715213729, -0.09386479316768133, -0.2267656637174366, 0.4051405979542935, 0.13148639901681283, 0.2409700932840413, 0.1024806525782822, 0.20813831529555332, 0.059557841406657104, 0.06895423689918939, 0.056837119293951355, 0.15475666127373686, 0.10268480370060203, 0.08134370809214898, -0.16515494873582393, 0.07691967920853501, 0.03976965760317656] |
708.1599 | Constructing Merger Trees that Mimic N-Body Simulations | We present a simple and efficient empirical algorithm for constructing
dark-matter halo merger trees that reproduce the distribution of trees in the
Millennium cosmological $N$-body simulation. The generated trees are
significantly better than EPS trees. The algorithm is Markovian, and it
therefore fails to reproduce the non-Markov features of trees across short time
steps, except for an accurate fit to the evolution of the average main
progenitor. However, it properly recovers the full main progenitor distribution
and the joint distributions of all the progenitors over long-enough time steps,
$\Delta \omega \simeq \Delta z>0.5$, where $\omega \simeq 1.69/D(t)$ is the
self-similar time variable and $D(t)$ refers to the linear growth of density
fluctuations. We find that the main progenitor distribution is log-normal in
the variable $\sigma^2(M)$, the variance of linear density fluctuations in a
sphere encompassing mass $M$. The secondary progenitors are successfully drawn
one by one from the remaining mass using a similar distribution function. These
empirical findings may be clues to the underlying physics of merger-tree
statistics. As a byproduct, we provide useful, accurate analytic time-invariant
approximations for the main progenitor accretion history and for halo merger
rates.
| astro-ph | we present a simple and efficient empirical algorithm for constructing darkmatter halo merger trees that reproduce the distribution of trees in the millennium cosmological nbody simulation the generated trees are significantly better than eps trees the algorithm is markovian and it therefore fails to reproduce the nonmarkov features of trees across short time steps except for an accurate fit to the evolution of the average main progenitor however it properly recovers the full main progenitor distribution and the joint distributions of all the progenitors over longenough time steps delta omega simeq delta z05 where omega simeq 169dt is the selfsimilar time variable and dt refers to the linear growth of density fluctuations we find that the main progenitor distribution is lognormal in the variable sigma2m the variance of linear density fluctuations in a sphere encompassing mass m the secondary progenitors are successfully drawn one by one from the remaining mass using a similar distribution function these empirical findings may be clues to the underlying physics of mergertree statistics as a byproduct we provide useful accurate analytic timeinvariant approximations for the main progenitor accretion history and for halo merger rates | [['we', 'present', 'a', 'simple', 'and', 'efficient', 'empirical', 'algorithm', 'for', 'constructing', 'darkmatter', 'halo', 'merger', 'trees', 'that', 'reproduce', 'the', 'distribution', 'of', 'trees', 'in', 'the', 'millennium', 'cosmological', 'nbody', 'simulation', 'the', 'generated', 'trees', 'are', 'significantly', 'better', 'than', 'eps', 'trees', 'the', 'algorithm', 'is', 'markovian', 'and', 'it', 'therefore', 'fails', 'to', 'reproduce', 'the', 'nonmarkov', 'features', 'of', 'trees', 'across', 'short', 'time', 'steps', 'except', 'for', 'an', 'accurate', 'fit', 'to', 'the', 'evolution', 'of', 'the', 'average', 'main', 'progenitor', 'however', 'it', 'properly', 'recovers', 'the', 'full', 'main', 'progenitor', 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708.16 | Backward-angle photoproduction of $\pi^0$ mesons on the proton at
$E_\gamma$ = 1.5--2.4 GeV | Differential cross sections and photon beam asymmetries for $\pi^0$
photoproduction have been measured at $E_\gamma$ = 1.5--2.4 GeV and at the
$\pi^0$ scattering angles, --1 $<$ cos$\Theta_{c.m.} <$ --0.6. The
energy-dependent slope of differential cross sections for $u$-channel $\pi^0$
production has been determined. An enhancement at backward angles is found
above $E_\gamma$ = 2.0 GeV. This is inferred to be due to the $u$-channel
contribution and/or resonances. Photon beam asymmetries have been obtained for
the first time at backward angles. A strong angular dependence has been found
at $E_\gamma >$ 2.0 GeV, which may be due to the unknown high-mass resonances.
| nucl-ex | differential cross sections and photon beam asymmetries for pi0 photoproduction have been measured at e_gamma 1524 gev and at the pi0 scattering angles 1 costheta_cm 06 the energydependent slope of differential cross sections for uchannel pi0 production has been determined an enhancement at backward angles is found above e_gamma 20 gev this is inferred to be due to the uchannel contribution andor resonances photon beam asymmetries have been obtained for the first time at backward angles a strong angular dependence has been found at e_gamma 20 gev which may be due to the unknown highmass resonances | [['differential', 'cross', 'sections', 'and', 'photon', 'beam', 'asymmetries', 'for', 'pi0', 'photoproduction', 'have', 'been', 'measured', 'at', 'e_gamma', '1524', 'gev', 'and', 'at', 'the', 'pi0', 'scattering', 'angles', '1', 'costheta_cm', '06', 'the', 'energydependent', 'slope', 'of', 'differential', 'cross', 'sections', 'for', 'uchannel', 'pi0', 'production', 'has', 'been', 'determined', 'an', 'enhancement', 'at', 'backward', 'angles', 'is', 'found', 'above', 'e_gamma', '20', 'gev', 'this', 'is', 'inferred', 'to', 'be', 'due', 'to', 'the', 'uchannel', 'contribution', 'andor', 'resonances', 'photon', 'beam', 'asymmetries', 'have', 'been', 'obtained', 'for', 'the', 'first', 'time', 'at', 'backward', 'angles', 'a', 'strong', 'angular', 'dependence', 'has', 'been', 'found', 'at', 'e_gamma', '20', 'gev', 'which', 'may', 'be', 'due', 'to', 'the', 'unknown', 'highmass', 'resonances']] | [-0.07988811836479918, 0.2279963020592205, -0.08902175143655193, 0.16579271802605178, -0.05099314659049636, -0.105951952125485, -0.00508382081201202, 0.41243457962807856, -0.19463972848545957, -0.33871997265439285, -0.10422859635988349, -0.3982085393055489, 0.11019762062320584, 0.19953482484346943, 0.10145880529460938, 0.11099761822996171, 0.04642360226104134, -0.006589499826690084, -0.02076699567076407, -0.1073179894543596, 0.2797634301020911, 0.1039506100755381, 0.20562593689874598, 0.22022978163961518, 0.10508626074971338, 0.010770000375219082, -0.013090835876248189, -0.10424856239635694, -0.15227317301323637, -0.023674889090225883, 0.3218141909884779, -0.043543267131194864, 0.07918372563037433, -0.2638689407245501, -0.12011930149440703, 0.13326396809440522, 0.2024601137167529, 0.05097220005148924, -0.037836202067372045, -0.31700555386609935, 0.11921763897530342, -0.1716370053589344, -0.1330471708770155, 0.0002643803771781294, 0.08237153734080493, -0.06934775710105896, -0.29361876551257937, 0.0681327536898224, -0.07322670062023558, 0.08930532828610586, 0.03828484678003741, -0.2381339073573288, -0.0548239115331518, -0.006875276004307364, 0.13363093917601201, 0.13340892984874939, 0.17396530891817652, -0.07839364161665895, -0.15997301512887996, 0.3421719175420309, -0.005011364851931208, -0.13593470493031323, 0.05493258481453124, -0.2683654554776455, -0.12592319119231482, 0.3642533529745905, 0.2279633949657804, 0.09296712606753174, -0.20943218674510716, 0.07194500191406789, 0.014104071803587047, 0.2005435251655351, 0.2164548383578413, 0.03918801723538261, 0.16707346864093683, 0.13275829207421722, -0.01421528747305274, -0.016014848064974344, -0.240315301402619, -0.017754781616263485, -0.32239635057355226, -0.058212310203204026, 0.004236137416017683, 0.10603349348040003, -0.011952949986535762, 0.03220745451552303, 0.3052600504560886, -0.01777881980309949, 0.32077937563391107, 0.010895479922673028, 0.3135014745112705, 0.23070251478899367, 0.11260222913697363, 0.06170332081321823, 0.415252587963876, 0.21008386313915253, 0.2078958036279992, -0.20038374914346557, 0.11561381707556154, -0.06622488659463431] |
708.1601 | On the mean square of the divisor function in short intervals | We provide upper bounds for the mean square integral $$
\int_X^{2X}(\Delta_k(x+h) - \Delta_k(x))^2 dx \qquad(h = h(X)\gg1, h = o(x)
{\roman{as}} X\to\infty) $$ where $h$ lies in a suitable range. For $k\ge2$ a
fixed integer, $\Delta_k(x)$ is the error term in the asymptotic formula for
the summatory function of the divisor function $d_k(n)$, generated by
$\zeta^k(s)$.
| math.NT | we provide upper bounds for the mean square integral int_x2xdelta_kxh delta_kx2 dx qquadh hxgg1 h ox romanas xtoinfty where h lies in a suitable range for kge2 a fixed integer delta_kx is the error term in the asymptotic formula for the summatory function of the divisor function d_kn generated by zetaks | [['we', 'provide', 'upper', 'bounds', 'for', 'the', 'mean', 'square', 'integral', 'int_x2xdelta_kxh', 'delta_kx2', 'dx', 'qquadh', 'hxgg1', 'h', 'ox', 'romanas', 'xtoinfty', 'where', 'h', 'lies', 'in', 'a', 'suitable', 'range', 'for', 'kge2', 'a', 'fixed', 'integer', 'delta_kx', 'is', 'the', 'error', 'term', 'in', 'the', 'asymptotic', 'formula', 'for', 'the', 'summatory', 'function', 'of', 'the', 'divisor', 'function', 'd_kn', 'generated', 'by', 'zetaks']] | [-0.21222226065066124, 0.0772327901226365, -0.048921541321194834, 0.11683760739914659, -0.03433150174613628, -0.14024807690746255, 0.05704400155356982, 0.31431518099788164, -0.2817589481671651, -0.2093971995688561, 0.11992920200961331, -0.28722874851276475, -0.10635406492898862, 0.2283401555692156, -0.053296591672632426, 0.06408072686236765, 0.008132692783450086, 0.11149453100192154, -0.07480514807005724, -0.23780065870119466, 0.2728370194426841, -0.05025231834087107, 0.13728785454812978, 0.09945480022838132, 0.10773625243455172, 0.03980309468590551, 0.04940935640285413, -0.09839411129554113, -0.2914140024946796, 0.0785315313273006, 0.23735581437746683, 0.09273356053357323, 0.3159840879961848, -0.3018187169296046, -0.11128753251913522, 0.18543557166639302, 0.15616602578924763, -0.08070171632700496, 0.011358873008026018, -0.18566302595815312, 0.11892119501199987, -0.11641895237068335, -0.17275311111782987, 0.03225270335872968, 0.1363802017023166, 0.08065026581494344, -0.43496850985619756, 0.10438939489217268, 0.062413103459402916, 0.11312350679137227, -0.025788370944145652, -0.2637039843532774, 0.02777507191316949, 0.07050618531389369, 0.020368900703680186, 0.12744542482929924, 0.030864382545567223, -0.13820895842768044, 0.004257861771879511, 0.2834109502430591, -0.1929669700562954, -0.24767174002610975, -0.02890753128255407, -0.18749221138035257, -0.08719303475485908, 0.11914149017797576, 0.07432432594812578, 0.17728776372969152, -0.05847800876945257, 0.25309581129501263, -0.09432457697888215, 0.10047935156358613, 0.075968246265418, 0.0454718585850464, 0.0816302193613309, 0.05970600934492217, 0.1254492443261875, 0.17117300637894206, -0.09732803056637446, -0.006327459195421802, -0.42984209441476395, -0.20125216080082786, -0.26279106905890837, 0.1203638122520513, -0.1917557366916703, -0.18318894389344173, 0.2985310278418991, 0.03727163713839319, 0.17772116590705184, 0.19483067751344707, 0.204073438151843, 0.2404897489895423, 0.022808627393614087, 0.09290443043121033, 0.12160412404272292, 0.13590515087772576, -0.018170294703708754, -0.19247996483205093, 0.05712083193163077, 0.21118892207741738] |
708.1602 | Three-Body Forces Produced by a Similarity Renormalization Group
Transformation in a Simple Model | A simple class of unitary renormalization group transformations that force
hamiltonians towards a band-diagonal form produce few-body interactions in
which low- and high-energy states are decoupled, which can greatly simplify
many-body calculations. One such transformation has been applied to
phenomenological and effective field theory nucleon-nucleon interactions with
success, but further progress requires consistent treatment of at least the
three-nucleon interaction. In this paper we demonstrate in an extremely simple
model how these renormalization group transformations consistently evolve two-
and three-body interactions towards band-diagonal form, and introduce a
diagrammatic approach that generalizes to the realistic nuclear problem.
| nucl-th cond-mat.str-el hep-ph | a simple class of unitary renormalization group transformations that force hamiltonians towards a banddiagonal form produce fewbody interactions in which low and highenergy states are decoupled which can greatly simplify manybody calculations one such transformation has been applied to phenomenological and effective field theory nucleonnucleon interactions with success but further progress requires consistent treatment of at least the threenucleon interaction in this paper we demonstrate in an extremely simple model how these renormalization group transformations consistently evolve two and threebody interactions towards banddiagonal form and introduce a diagrammatic approach that generalizes to the realistic nuclear problem | [['a', 'simple', 'class', 'of', 'unitary', 'renormalization', 'group', 'transformations', 'that', 'force', 'hamiltonians', 'towards', 'a', 'banddiagonal', 'form', 'produce', 'fewbody', 'interactions', 'in', 'which', 'low', 'and', 'highenergy', 'states', 'are', 'decoupled', 'which', 'can', 'greatly', 'simplify', 'manybody', 'calculations', 'one', 'such', 'transformation', 'has', 'been', 'applied', 'to', 'phenomenological', 'and', 'effective', 'field', 'theory', 'nucleonnucleon', 'interactions', 'with', 'success', 'but', 'further', 'progress', 'requires', 'consistent', 'treatment', 'of', 'at', 'least', 'the', 'threenucleon', 'interaction', 'in', 'this', 'paper', 'we', 'demonstrate', 'in', 'an', 'extremely', 'simple', 'model', 'how', 'these', 'renormalization', 'group', 'transformations', 'consistently', 'evolve', 'two', 'and', 'threebody', 'interactions', 'towards', 'banddiagonal', 'form', 'and', 'introduce', 'a', 'diagrammatic', 'approach', 'that', 'generalizes', 'to', 'the', 'realistic', 'nuclear', 'problem']] | [-0.10405592837923905, 0.18560751401082598, -0.155989886964259, 0.06515091013837566, -0.07058739033770205, -0.16425351117019696, -0.0013378358853515238, 0.38225094021860667, -0.2535628705081763, -0.2863793212673045, -0.019312274245748995, -0.2711575043310101, -0.17544743049074896, 0.12531099561116812, 0.032621445674029324, 0.043621813538872324, 0.07564813295963783, 0.016148498359446723, -0.11577503744047135, -0.2063196678815681, 0.32734250894524547, 0.020295454480219632, 0.22794672668775698, 0.09101317374734208, 0.06612538662496566, 0.06080039249112209, 0.02883055318670813, 0.009212277219679285, -0.06031954258969563, 0.10676857343120598, 0.30053559351229825, 0.02267802848897797, 0.25346400778895867, -0.4836279155376057, -0.23229254613397643, 0.06649402736851091, 0.1973659283236581, 0.19537576475704554, -0.09734429215313867, -0.29882088252149214, -0.02449856158636976, -0.27300054585793987, -0.14729878554013945, -0.20327621240964314, 0.015196133265514314, -0.05897145715425722, -0.26422525321443874, 0.04503801890537792, 0.016304708105356742, 0.029151326018033313, -0.04760732980260703, -0.08997880026193646, 0.055048647608297564, 0.10399847341856609, 0.022467290467223695, 0.07512760199218367, 0.1514014438483476, -0.15221783125646957, -0.08341630694728035, 0.4227215117813709, -0.03623117782990448, -0.18282599587837467, 0.22668232889069864, -0.0784493838606674, -0.22030305642692838, 0.12514162996861464, 0.17171925544607802, 0.09059196246865515, -0.20488891379985338, 0.10120846522265008, -0.017673074258103345, 0.12978754479748508, -0.002048161448328756, 0.01822814837214537, 0.14187511286824397, 0.1288175298589825, 0.04012186602146054, 0.061059391431626864, 0.01670165565640976, -0.14522577893997854, -0.2960238308393552, -0.07137745792473045, -0.13833064318653973, 0.06353097491470787, -0.05620292784866857, -0.1290849737561075, 0.4012066519790096, 0.1771995610082134, 0.17421827504828494, 0.06383953166126351, 0.2448762912147989, 0.12439994116236146, 0.11177950637647882, 0.022188463296818856, 0.26309246132344316, 0.15498023130445895, -0.024759319475075852, -0.25657289864708827, 0.008872772984129066, 0.11041140127539013] |
708.1603 | How the First Stars Regulated Local Star Formation I: Radiative Feedback | We present numerical simulations of how a 120 M$_\odot$ primordial star
regulates star formation in nearby cosmological halos at $z \sim$ 20 by
photoevaporation. Our models include nine-species primordial chemistry and
self-consistent multifrequency conservative transfer of UV photons with all
relevant radiative processes. Whether or not new stars form in halos clustered
around a Population III star ultimately depends on their core densities and
proximity to the star. Diffuse halos with central densities below 2 - 3
cm$^{-3}$ are completely ionized and evaporated anywhere in the cluster.
Evolved halos with core densities above 2000 cm$^{-3}$ are impervious to both
ionizing and Lyman-Werner flux at most distances from the star and collapse as
quickly as they would in its absence. Star formation in halos of intermediate
density can be either promoted or suppressed depending on how the I-front
remnant shock compresses, deforms and enriches the core with H$_2$. We find
that the 120 M$_\odot$ star photodissociates H$_2$ in most halos in the cluster
but that catalysis by H- restores it a few hundred kyr after the death of the
star, with little effect on star formation. Our models exhibit significant
departures from previous one-dimensional spherically-symmetric simulations,
which are prone to serious errors due to unphysical geometric focusing effects.
| astro-ph | we present numerical simulations of how a 120 m_odot primordial star regulates star formation in nearby cosmological halos at z sim 20 by photoevaporation our models include ninespecies primordial chemistry and selfconsistent multifrequency conservative transfer of uv photons with all relevant radiative processes whether or not new stars form in halos clustered around a population iii star ultimately depends on their core densities and proximity to the star diffuse halos with central densities below 2 3 cm3 are completely ionized and evaporated anywhere in the cluster evolved halos with core densities above 2000 cm3 are impervious to both ionizing and lymanwerner flux at most distances from the star and collapse as quickly as they would in its absence star formation in halos of intermediate density can be either promoted or suppressed depending on how the ifront remnant shock compresses deforms and enriches the core with h_2 we find that the 120 m_odot star photodissociates h_2 in most halos in the cluster but that catalysis by h restores it a few hundred kyr after the death of the star with little effect on star formation our models exhibit significant departures from previous onedimensional sphericallysymmetric simulations which are prone to serious errors due to unphysical geometric focusing effects | [['we', 'present', 'numerical', 'simulations', 'of', 'how', 'a', '120', 'm_odot', 'primordial', 'star', 'regulates', 'star', 'formation', 'in', 'nearby', 'cosmological', 'halos', 'at', 'z', 'sim', '20', 'by', 'photoevaporation', 'our', 'models', 'include', 'ninespecies', 'primordial', 'chemistry', 'and', 'selfconsistent', 'multifrequency', 'conservative', 'transfer', 'of', 'uv', 'photons', 'with', 'all', 'relevant', 'radiative', 'processes', 'whether', 'or', 'not', 'new', 'stars', 'form', 'in', 'halos', 'clustered', 'around', 'a', 'population', 'iii', 'star', 'ultimately', 'depends', 'on', 'their', 'core', 'densities', 'and', 'proximity', 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708.1604 | On determination of periods of geometric continued fractions for
two-dimensional algebraic hyperbolic operators | For a given sequence of positive integers we make an explicit construction of
a reduced hyperbolic operator in SL(2,z) with the sequence as a period of a
geometric continued fraction in the sense of Klein. Further we experimentally
study an algorithm to construct a period for an arbitrary operator of SL(2,z)
(the Gauss Reduction Theory).
| math.NT | for a given sequence of positive integers we make an explicit construction of a reduced hyperbolic operator in sl2z with the sequence as a period of a geometric continued fraction in the sense of klein further we experimentally study an algorithm to construct a period for an arbitrary operator of sl2z the gauss reduction theory | [['for', 'a', 'given', 'sequence', 'of', 'positive', 'integers', 'we', 'make', 'an', 'explicit', 'construction', 'of', 'a', 'reduced', 'hyperbolic', 'operator', 'in', 'sl2z', 'with', 'the', 'sequence', 'as', 'a', 'period', 'of', 'a', 'geometric', 'continued', 'fraction', 'in', 'the', 'sense', 'of', 'klein', 'further', 'we', 'experimentally', 'study', 'an', 'algorithm', 'to', 'construct', 'a', 'period', 'for', 'an', 'arbitrary', 'operator', 'of', 'sl2z', 'the', 'gauss', 'reduction', 'theory']] | [-0.18318111729723485, 0.10939118863713124, -0.10907414614815604, 0.05137999030676755, -0.09161251190711152, -0.07402114762331952, 0.06471327645915814, 0.33097500425170767, -0.2929989413104274, -0.2387310491028157, 0.09016537124037065, -0.23074379879134624, -0.20616227545860139, 0.23126915188675576, -0.11971660921858115, 0.025642118621544797, 0.04470497877760367, 0.10559882169420069, -0.12026958413083445, -0.2745557935400443, 0.31016388414427637, 0.024277104742147705, 0.15895684860985387, 0.012788579191758551, 0.1437669178301638, 0.0155619474043223, -0.01126094173153185, -0.050788913988931615, -0.13723225193944844, 0.14265341968698936, 0.2348396984352307, 0.09938916362483394, 0.2538449286525561, -0.3936041101305322, -0.14644526786287315, 0.14503946680236945, 0.14208364449229768, 0.08816534175791524, -0.09081017556600272, -0.22482354938983917, 0.10577555132860487, -0.1917824311986227, -0.21012898647141728, -0.07065477586266669, 0.10069525186819109, -0.030893424750221048, -0.2978010297160257, 0.003499029458246448, 0.09140009663321755, 0.11250021665949714, -0.08388406249948523, -0.05521330907940865, 0.0006702821024439551, 0.10638145571574568, 0.03231030770323493, 0.07548302426637912, 0.02560758270661939, -0.09478808851404623, -0.14074525670783425, 0.32260650332001123, -0.11071749392219565, -0.2336838856000792, 0.06388793455606157, -0.11497810283167796, -0.15178847246888008, 0.14629628190940078, 0.1437626377594742, 0.16665375313975594, -0.06845777116038583, 0.12218710478733887, -0.10755524550649252, 0.1876105629077012, 0.10023422578180378, -0.008992822993208062, 0.16204604066231035, 0.08401851748878306, 0.11255615338767794, 0.18422050879082896, 0.013970985034988686, -0.039930022596804934, -0.33849145549942145, -0.23992334318569522, -0.15498722913590343, 0.14469918602738868, -0.1312734197655862, -0.2501808460717174, 0.400725739500062, 0.04573453695259311, 0.23997674403204158, 0.11430393766865811, 0.2098069167611274, 0.18130374272375113, 0.02997400067079897, 0.007963123341852969, 0.09701330224898728, 0.1597930834543976, 0.01793789326594296, -0.2189623898403211, -0.052775625368072225, 0.1833782919767228] |
708.1605 | On families of $BS_{can}$ lagrangian tori in projective spaces | This small note contains two simple remarks about Bohr - Sommerfeld with
respect to the anticanonical class lagrangian tori in the projective spaces,
which are the most popular examples of monotone symplectic manifolds.
| math.SG | this small note contains two simple remarks about bohr sommerfeld with respect to the anticanonical class lagrangian tori in the projective spaces which are the most popular examples of monotone symplectic manifolds | [['this', 'small', 'note', 'contains', 'two', 'simple', 'remarks', 'about', 'bohr', 'sommerfeld', 'with', 'respect', 'to', 'the', 'anticanonical', 'class', 'lagrangian', 'tori', 'in', 'the', 'projective', 'spaces', 'which', 'are', 'the', 'most', 'popular', 'examples', 'of', 'monotone', 'symplectic', 'manifolds']] | [-0.18521091502043419, 0.06674463808849396, 0.023569037555716932, 0.14542190920838038, -0.16037475322082173, -0.1869908546213992, -0.09701467653212603, 0.3459484815830365, -0.2334312241182488, -0.21973795024132414, 0.09072821648805984, -0.34008218711824156, -0.15606512234080583, 0.23313913313904777, -0.24367179957334884, 0.008249893686297582, 0.06456694348889869, 0.11008189001586288, -0.1908858175156638, -0.36850577691802755, 0.50746641587466, -0.03491853775631171, 0.12293415862950496, 0.08548945262737107, 0.12140232269302942, -0.04908485345367808, -0.02106392799760215, 0.005623797696898691, -0.17547726118937135, 0.18386660280521028, 0.32297111427760683, 0.011295681062620133, 0.22027166711632162, -0.35382108119665645, -0.1353274852153845, 0.20053830184042454, 0.06098376076988643, 0.04709460406957078, 0.016405433998443186, -0.2919432279886678, 0.013431559491436929, -0.10705500567564741, -0.210224250680767, -0.13974190104636364, 0.04639563261298463, 0.0300037670385791, -0.1274217969039455, -0.04133534009451978, 0.11232333857333288, 0.13376220734789968, 0.024932084888860118, -0.13442207538173534, -0.04327003430807963, -0.05593878764193505, 0.09816612396389246, 0.04446147976341308, 0.1477105684025446, -0.024327075151632016, -0.05193966519436799, 0.3950773522956297, -0.04884504509391263, -0.26558021796518005, 0.12513025788939558, -0.10245677483908366, -0.2050514098518761, 0.20412125895381905, 0.0632445892697433, 0.20329742203466594, -0.07935140701010823, 0.1489877296553459, -0.1499556131893769, 0.06680559704545885, 0.13589922316896264, 0.036246920717530884, 0.10703696898417547, 0.10620041522633983, 0.11943887290544808, 0.0823724755900912, 0.0038031796866562217, -0.19006857439489977, -0.3983248199801892, -0.168729719996918, -0.0909925767336972, 0.1592205143533647, -0.15696894863776834, -0.19446674377832096, 0.37747395475162193, 0.03179090775665827, 0.20214466704055667, 0.10937182428097003, 0.23088037193519995, -0.022579629760002717, 0.027055364073021337, 0.07791451693628915, 0.18804932141210884, 0.23736069988808595, -0.009900459277560003, -0.08213638552115299, -0.09721802863350604, 0.17005180168780498] |
708.1606 | A Corona Australis cloud filament seen in NIR scattered light I.
Comparison with extinction of background stars | With current near-infrared (NIR) instruments the near-infrared light
scattered from interstellar clouds can be mapped over large areas. The surface
brightness carries information on the line-of-sight dust column density.
Therefore, scattered light could provide an important tool to study mass
distribution in quiescent interstellar clouds at a high, even sub-arcsecond
resolution. We wish to confirm the assumption that light scattering dominates
the surface brightness in all NIR bands. Furthermore, we want to show that
scattered light can be used for an accurate estimation of dust column densities
in clouds with Av in the range 1-15mag. We have obtained NIR images of a
quiescent filament in the Corona Australis molecular cloud. The observations
provide maps of diffuse surface brightness in J, H, and Ks bands. Using the
assumption that signal is caused by scattered light we convert surface
brightness data into a map of dust column density. The same observations
provide colour excesses for a large number of background stars. These data are
used to derive an extinction map of the cloud. The two, largely independent
tracers of the cloud structure are compared. Results. In regions below Av=15m
both diffuse surface brightness and background stars lead to similar column
density estimates. The existing differences can be explained as a result of
normal observational errors and bias in the sampling of extinctions provided by
the background stars. There is no indication that thermal dust emission would
have a significant contribution even in the Ks band. The results show that,
below Av=15mag, scattered light does provide a reliable way to map cloud
structure. Compared with the use of background stars it can also in practice
provide a significantly higher spatial resolution.
| astro-ph | with current nearinfrared nir instruments the nearinfrared light scattered from interstellar clouds can be mapped over large areas the surface brightness carries information on the lineofsight dust column density therefore scattered light could provide an important tool to study mass distribution in quiescent interstellar clouds at a high even subarcsecond resolution we wish to confirm the assumption that light scattering dominates the surface brightness in all nir bands furthermore we want to show that scattered light can be used for an accurate estimation of dust column densities in clouds with av in the range 115mag we have obtained nir images of a quiescent filament in the corona australis molecular cloud the observations provide maps of diffuse surface brightness in j h and ks bands using the assumption that signal is caused by scattered light we convert surface brightness data into a map of dust column density the same observations provide colour excesses for a large number of background stars these data are used to derive an extinction map of the cloud the two largely independent tracers of the cloud structure are compared results in regions below av15m both diffuse surface brightness and background stars lead to similar column density estimates the existing differences can be explained as a result of normal observational errors and bias in the sampling of extinctions provided by the background stars there is no indication that thermal dust emission would have a significant contribution even in the ks band the results show that below av15mag scattered light does provide a reliable way to map cloud structure compared with the use of background stars it can also in practice provide a significantly higher spatial resolution | [['with', 'current', 'nearinfrared', 'nir', 'instruments', 'the', 'nearinfrared', 'light', 'scattered', 'from', 'interstellar', 'clouds', 'can', 'be', 'mapped', 'over', 'large', 'areas', 'the', 'surface', 'brightness', 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708.1607 | The solar photospheric abundance of phosphorus: results from co5bold 3D
model atmospheres | aims: We determine the solar abundance of phosphorus using co5bold 3D
hydrodynamic model atmospheres. method: High resolution, high signal-to-noise
solar spectra of the PI lines of Multiplet 1 at 1051-1068 nm are compared to
line formation computations performed on a co5bold solar model atmosphere.
results: We find A(P)=5.46+- 0.04, in good agreement with previous analysis
based on 1D model atmospheres, due to the fact that the PI lines of Mult. 1 are
little affected by 3D effects. We cannot confirm an earlier claim by other
authors of a downward revision of the solar P abundance by 0.1 dex employing a
3D model atmosphere. Concerning other stars, we found modest (<0.1 dex) 3D
abundance corrections for P among four F dwarf model atmospheres of different
metallicity, being largest at lowest metallicity. conclusions: We conclude that
3D abundance corrections are generally rather small for the PI lines studied in
this work. They are marginally relevant for metal-poor stars, but may be
neglected in the Sun.
| astro-ph | aims we determine the solar abundance of phosphorus using co5bold 3d hydrodynamic model atmospheres method high resolution high signaltonoise solar spectra of the pi lines of multiplet 1 at 10511068 nm are compared to line formation computations performed on a co5bold solar model atmosphere results we find ap546 004 in good agreement with previous analysis based on 1d model atmospheres due to the fact that the pi lines of mult 1 are little affected by 3d effects we cannot confirm an earlier claim by other authors of a downward revision of the solar p abundance by 01 dex employing a 3d model atmosphere concerning other stars we found modest 01 dex 3d abundance corrections for p among four f dwarf model atmospheres of different metallicity being largest at lowest metallicity conclusions we conclude that 3d abundance corrections are generally rather small for the pi lines studied in this work they are marginally relevant for metalpoor stars but may be neglected in the sun | [['aims', 'we', 'determine', 'the', 'solar', 'abundance', 'of', 'phosphorus', 'using', 'co5bold', '3d', 'hydrodynamic', 'model', 'atmospheres', 'method', 'high', 'resolution', 'high', 'signaltonoise', 'solar', 'spectra', 'of', 'the', 'pi', 'lines', 'of', 'multiplet', '1', 'at', '10511068', 'nm', 'are', 'compared', 'to', 'line', 'formation', 'computations', 'performed', 'on', 'a', 'co5bold', 'solar', 'model', 'atmosphere', 'results', 'we', 'find', 'ap546', '004', 'in', 'good', 'agreement', 'with', 'previous', 'analysis', 'based', 'on', '1d', 'model', 'atmospheres', 'due', 'to', 'the', 'fact', 'that', 'the', 'pi', 'lines', 'of', 'mult', '1', 'are', 'little', 'affected', 'by', '3d', 'effects', 'we', 'can', 'not', 'confirm', 'an', 'earlier', 'claim', 'by', 'other', 'authors', 'of', 'a', 'downward', 'revision', 'of', 'the', 'solar', 'p', 'abundance', 'by', '01', 'dex', 'employing', 'a', '3d', 'model', 'atmosphere', 'concerning', 'other', 'stars', 'we', 'found', 'modest', '01', 'dex', '3d', 'abundance', 'corrections', 'for', 'p', 'among', 'four', 'f', 'dwarf', 'model', 'atmospheres', 'of', 'different', 'metallicity', 'being', 'largest', 'at', 'lowest', 'metallicity', 'conclusions', 'we', 'conclude', 'that', '3d', 'abundance', 'corrections', 'are', 'generally', 'rather', 'small', 'for', 'the', 'pi', 'lines', 'studied', 'in', 'this', 'work', 'they', 'are', 'marginally', 'relevant', 'for', 'metalpoor', 'stars', 'but', 'may', 'be', 'neglected', 'in', 'the', 'sun']] | [-0.03546229266435092, 0.1256682526236321, 0.008661555563495639, 0.09392280310584968, -0.023221014481451776, -0.11154589330904002, 0.05674674336361572, 0.42156435633768086, -0.13808788978322237, -0.38941285276302584, -0.004882800714026585, -0.3189076683311551, -0.049640727114438274, 0.18591675299714194, -0.08558888875384942, 0.02310962302520092, 0.12137333221480619, -0.05326716500667878, -0.06250550996664521, -0.24478407923626588, 0.2685813911900177, 0.07889966336136431, 0.16398398652327834, -0.01835440835242884, -0.07033724821299131, -0.1584689367108369, -0.06728932556996617, 0.008600016224433748, -0.17953588798281775, 0.05473578847473326, 0.2183810420503932, 0.08070358821409351, 0.1770211923637508, -0.4128222152084848, -0.2549253776324568, 0.02402988546901601, 0.20421389561796124, 0.07975165189077135, -0.07042211423093384, -0.20985246130644722, 0.10953913720462609, -0.14477824298147526, -0.1505763967504242, 0.014378194283280108, 0.019904472836419756, -0.03493192661941672, -0.26984601594036284, 0.07872002898359004, 0.03807519638571704, 0.17768940519553, -0.09931182948909097, -0.20755163386441122, -0.11285959144789771, 0.08503414079098513, 0.001236247796273178, 0.02158928701631081, 0.12627382772790705, -0.08503152293377314, -0.00797095716022599, 0.45325646995578284, -0.13976605440616424, -0.0839163701619125, 0.19277325054820352, -0.21280931017252352, -0.18329184214343075, 0.15472461532996853, 0.12587573739842306, 0.15734870735567386, -0.12086483657095627, 0.06414535347254441, -0.05300529144508879, 0.2169996764702021, 0.05177155634342336, -0.012681376389172116, 0.2799771749630087, 0.10524322423670027, -0.017654463568311414, -0.009004157403394879, -0.1752678150423216, -0.06034192611624337, -0.2009165845811367, -0.11468941704973716, -0.09166323437849865, 0.05655954653380315, -0.1195447192510107, -0.13553585244607133, 0.3293363433503718, 0.19910999437015112, 0.20965829807230169, 0.024858848450498447, 0.31550940228511154, 0.1159701654256356, 0.0585929335448546, 0.07094675239554986, 0.296070729997469, 0.18609402818967485, 0.10164157181035405, -0.23012375789888515, 0.08565312736656194, 0.0671447239080329] |
708.1608 | Similarity classes of 3x3 matrices over a local principal ideal ring | In this paper similarity classes of three by three matrices over a local
principal ideal commutative ring are analyzed. When the residue field is
finite, a generating function for the number of similarity classes for all
finite quotients of the ring is computed explicitly.
| math.GR math.RA | in this paper similarity classes of three by three matrices over a local principal ideal commutative ring are analyzed when the residue field is finite a generating function for the number of similarity classes for all finite quotients of the ring is computed explicitly | [['in', 'this', 'paper', 'similarity', 'classes', 'of', 'three', 'by', 'three', 'matrices', 'over', 'a', 'local', 'principal', 'ideal', 'commutative', 'ring', 'are', 'analyzed', 'when', 'the', 'residue', 'field', 'is', 'finite', 'a', 'generating', 'function', 'for', 'the', 'number', 'of', 'similarity', 'classes', 'for', 'all', 'finite', 'quotients', 'of', 'the', 'ring', 'is', 'computed', 'explicitly']] | [-0.19751349474642088, 0.09229581538503143, -0.05222958631136201, 0.061457304826366126, -0.010713456695984032, -0.0920252504716204, -0.08028386325564828, 0.34640102655711497, -0.35579728792336857, -0.21111023964741352, 0.0815009283065923, -0.252040707082911, -0.09907759673131461, 0.2114140993746167, -0.02528435150584714, 0.006926126291298054, -0.004394869415343485, 0.13980175275355577, -0.1341369592754001, -0.3151392053643411, 0.427722375755283, -0.0357964049432088, 0.24320867026902057, -0.008584286340258339, 0.09366076848131012, 0.020596502817087723, -0.0783774173733863, 0.12040816084481776, -0.06390925638631663, 0.11553078940381635, 0.31733756939965213, 0.1022093166724186, 0.26496216616677964, -0.3458433849737048, -0.1513418838572265, 0.21532685673710975, 0.1279308508171446, 0.03559630641459741, -0.024697251178705217, -0.19339070580793882, 0.2048252443359657, -0.2266416494861584, -0.09393197421873496, -0.06430168149315497, 0.1094202656134836, 0.0708343776112253, -0.2915416091087867, -0.007474588346667588, 0.04938171253624288, 0.18744698065248402, -0.05797735712787306, -0.1041167124005204, 0.03156037294221195, 0.11942315516286973, -0.02679489858829501, -0.03933145815972239, 0.09796299010684545, -0.09351882826939056, -0.08123623292009473, 0.3597074481235309, -0.05867456944278357, -0.24514958445003934, 0.12417738969353112, -0.14979761209211906, -0.09232852242844687, 0.1656434185464274, 0.0730519625781612, 0.169027822018093, -0.13404573078580803, 0.16080753968774594, -0.16902439446527173, 0.08026036701101641, 0.0805184254528616, 0.012015807103704323, 0.1893931068903343, 0.0589441047208807, 0.026980260367219507, 0.17137206777591596, -0.028197703883051872, -0.05439359473530203, -0.3487456418912519, -0.1871489706364545, -0.20969694332399574, 0.055719001769003546, -0.13308010484748098, -0.17426213893023404, 0.5081424835053358, 0.05681872372092171, 0.19570776209134652, 0.09626507868101312, 0.26331903207623825, 0.06873630241236904, 0.06951241775161841, 0.02641419458880343, 0.10186471015384252, 0.16734813364349643, -0.06169021008165807, -0.19022596523758362, 0.010128315146589144, 0.20090118954381483] |
708.1609 | Cosmic rays from thermal sources | Energy spectrum of cosmic rays (CR) exhibits power-like behavior with very
characteristic "knee" structure. We consider a generalized statistical model
for the production process of cosmic rays which accounts for such behavior in a
natural way either by assuming existence of temperature fluctuations in the
source of CR, or by assuming specific temperature distribution of CR sources.
Both possibilities yield the so called Tsallis statistics and lead to the
power-like distribution. We argue that the "knee" structure arises as result of
abrupt change of fluctuations in the source of CR. Its possible origin is
briefly discussed.
| astro-ph hep-ph | energy spectrum of cosmic rays cr exhibits powerlike behavior with very characteristic knee structure we consider a generalized statistical model for the production process of cosmic rays which accounts for such behavior in a natural way either by assuming existence of temperature fluctuations in the source of cr or by assuming specific temperature distribution of cr sources both possibilities yield the so called tsallis statistics and lead to the powerlike distribution we argue that the knee structure arises as result of abrupt change of fluctuations in the source of cr its possible origin is briefly discussed | [['energy', 'spectrum', 'of', 'cosmic', 'rays', 'cr', 'exhibits', 'powerlike', 'behavior', 'with', 'very', 'characteristic', 'knee', 'structure', 'we', 'consider', 'a', 'generalized', 'statistical', 'model', 'for', 'the', 'production', 'process', 'of', 'cosmic', 'rays', 'which', 'accounts', 'for', 'such', 'behavior', 'in', 'a', 'natural', 'way', 'either', 'by', 'assuming', 'existence', 'of', 'temperature', 'fluctuations', 'in', 'the', 'source', 'of', 'cr', 'or', 'by', 'assuming', 'specific', 'temperature', 'distribution', 'of', 'cr', 'sources', 'both', 'possibilities', 'yield', 'the', 'so', 'called', 'tsallis', 'statistics', 'and', 'lead', 'to', 'the', 'powerlike', 'distribution', 'we', 'argue', 'that', 'the', 'knee', 'structure', 'arises', 'as', 'result', 'of', 'abrupt', 'change', 'of', 'fluctuations', 'in', 'the', 'source', 'of', 'cr', 'its', 'possible', 'origin', 'is', 'briefly', 'discussed']] | [-0.12855029511410976, 0.1676847128692316, -0.10071722043600555, 0.1409475176570633, -0.029818510995634522, -0.08952370468856923, -0.00013591656170319766, 0.3523061128604847, -0.30199260792384547, -0.31468305668871227, -0.01515957908971662, -0.3055461555486545, -0.08429436289831453, 0.17067003814251316, 0.01664359435380902, -0.009189955240799463, -0.0171233165213683, 0.04414575732759355, -0.038092866681229985, -0.13764718452148372, 0.37712348939385265, 0.16750626017043638, 0.2972187838386162, 0.08469366488194889, 0.09038063465171338, -0.03358213729370618, -0.0021484223658868964, 0.017583082508887554, -0.09773978814860129, 0.06697199078917038, 0.18464982719160616, 0.1475509348383639, 0.15823410003698277, -0.36198682175988023, -0.3130375153850764, 0.1479957413394004, 0.15099135452571014, 0.030085521734387537, -0.09224626191038017, -0.20579514091756815, 0.08964865068022239, -0.1653627746660883, -0.2240449146775063, -0.005821549362735823, -0.02217739987342308, 0.05819658064865507, -0.2157733116291638, 0.1616780915998485, 0.12318617366690887, 0.053545440035425905, -0.07898367594801432, -0.09773943423836802, -0.0021570012953210003, 0.07728342976042768, 0.1344234141479319, -0.004642644431442022, 0.15978941371334562, -0.12539230735516563, -0.09527628534124233, 0.4147323648794554, -0.10639407878382674, -0.11593357745732646, 0.13915356396804177, -0.18709096979970732, -0.1514266074906724, 0.15717143972869962, 0.14372888917084006, 0.05768632200973419, -0.17723831617937927, 0.11816658617984406, 0.07468496585109581, 0.12956297839749217, 0.04445386860849491, 0.04452542520690864, 0.22970796863470846, 0.14404872628801968, 0.06261236105153027, 0.11328349759666405, -0.11975544006660736, -0.05893168016882555, -0.31294056683933985, -0.12773529960153004, -0.17510617179019997, 0.13020511859698067, -0.07962563333649086, -0.205766010781493, 0.40412644314346835, 0.10639268148967555, 0.2646043965748201, 0.0011554236468024708, 0.2180225888538795, 0.1020413708453513, -0.02323491945086668, 0.1025759777573209, 0.22451166252722032, 0.09742093228851445, 0.13552103709662333, -0.19975847408689637, 0.11177546098770108, -0.0040123321693196585] |
708.161 | Relaxation of transport properties in electron doped SrTiO3 | We electron-dope single crystal samples of SrTiO_3 by exposing them to Ar^+
irradiation and observe carrier mobility similar in its magnitude and
temperature dependence to the carrier mobility in other electron-doped SrTiO3
systems. We find that some transport properties are time-dependent. In
particular, the sheet resistance increases with time at a temperature-dependent
rate, suggesting an activation barrier on the order of 1 eV. We attribute the
relaxation effects to diffusion of oxygen vacancies - a process with energy
barrier similar to the observed activation energy.
| cond-mat.other | we electrondope single crystal samples of srtio_3 by exposing them to ar irradiation and observe carrier mobility similar in its magnitude and temperature dependence to the carrier mobility in other electrondoped srtio3 systems we find that some transport properties are timedependent in particular the sheet resistance increases with time at a temperaturedependent rate suggesting an activation barrier on the order of 1 ev we attribute the relaxation effects to diffusion of oxygen vacancies a process with energy barrier similar to the observed activation energy | [['we', 'electrondope', 'single', 'crystal', 'samples', 'of', 'srtio_3', 'by', 'exposing', 'them', 'to', 'ar', 'irradiation', 'and', 'observe', 'carrier', 'mobility', 'similar', 'in', 'its', 'magnitude', 'and', 'temperature', 'dependence', 'to', 'the', 'carrier', 'mobility', 'in', 'other', 'electrondoped', 'srtio3', 'systems', 'we', 'find', 'that', 'some', 'transport', 'properties', 'are', 'timedependent', 'in', 'particular', 'the', 'sheet', 'resistance', 'increases', 'with', 'time', 'at', 'a', 'temperaturedependent', 'rate', 'suggesting', 'an', 'activation', 'barrier', 'on', 'the', 'order', 'of', '1', 'ev', 'we', 'attribute', 'the', 'relaxation', 'effects', 'to', 'diffusion', 'of', 'oxygen', 'vacancies', 'a', 'process', 'with', 'energy', 'barrier', 'similar', 'to', 'the', 'observed', 'activation', 'energy']] | [-0.1064525313383664, 0.17438358544944982, -0.00962054282660892, -0.00028665785888383157, 0.016636020414172167, -0.1326766926851348, 0.14421063769294554, 0.47108923805406294, -0.3089303917599371, -0.33443917176989185, -0.025753594854992467, -0.3601357117295265, -0.08599867852382272, 0.16155412000483352, -0.0002035616885825812, 0.021594444777205003, -0.04677874131790216, -0.011748247813568058, -0.08950048195568464, -0.2261308261518737, 0.268409380476069, 0.11903870313327355, 0.3264874992022538, 0.13784013969083148, 0.037990662858383845, -0.029481545528284758, 0.12216288661472051, 0.016547248429472906, -0.1796747086916283, 0.03716050370888089, 0.24776760093778014, -0.12318939970896008, 0.224073190702103, -0.47907487083091793, -0.2648770795035434, -0.019657664186130446, 0.10406443256189127, 0.11270932025551032, -0.1187349521591474, -0.19297104140923146, 0.0412027502365141, -0.1063122197716351, -0.08250187683418528, -0.01934331189841032, 0.020418801333710372, 0.020269403346331722, -0.25547393944383745, 0.16302010783903212, 0.006590366458901799, 0.05158491128584348, -0.16278415360257972, -0.1344149888364082, -0.10135403017973504, 0.05564520076051893, 0.09959666249138886, 0.003979618116899068, 0.25788998583062406, -0.11320175652683948, -0.10097270575071494, 0.3094157823193145, -0.0596139872606552, -0.07175979253847196, 0.2004343279110021, -0.2045390360248107, -0.03830026228896746, 0.18724678369541933, 0.13550151960786813, 0.11006675646584256, -0.15309617178604365, 0.02988807304274201, 0.04755143471712987, 0.2003566906619144, 0.08527306186214807, 0.06632435788030186, 0.15963733999664526, 0.22175942839078425, 0.06295782310820847, 0.1042898689131589, -0.15455230110618062, -0.020531818646578544, -0.18430160055587808, -0.1931961464375841, -0.15461414673152457, 0.09745728709533003, -0.09429991141653125, -0.17434003545218205, 0.404055380374642, 0.17520071494292064, 0.23371508309101485, -0.0211341545176524, 0.2055219838519143, 0.17549157391739897, 0.07998230379546084, 0.05014091945556273, 0.19408565677361597, 0.09172290553765214, 0.14737517636336656, -0.3065617871302438, 0.143972345221092, -0.04005287765491619] |
708.1611 | DGP Cosmology with a Non-Minimally Coupled Scalar Field on the Brane | We construct a DGP inspired braneworld scenario where a scalar field
non-minimally coupled to the induced Ricci curvature is present on the brane.
First we investigate the status of gravitational potential with non-minimal
coupling and observational constraints on this non-minimal model. Then we
further deepen the idea of embedding of FRW cosmology in this non-minimal
setup. Cosmological implications of this scenario are examined with details and
the quintessence and late-time expansion of the universe within this framework
are examined. Some observational constraints imposed on this non-minimal
scenario are studied and relation of this model with dark radiation formalism
is determined with details.
| hep-th | we construct a dgp inspired braneworld scenario where a scalar field nonminimally coupled to the induced ricci curvature is present on the brane first we investigate the status of gravitational potential with nonminimal coupling and observational constraints on this nonminimal model then we further deepen the idea of embedding of frw cosmology in this nonminimal setup cosmological implications of this scenario are examined with details and the quintessence and latetime expansion of the universe within this framework are examined some observational constraints imposed on this nonminimal scenario are studied and relation of this model with dark radiation formalism is determined with details | [['we', 'construct', 'a', 'dgp', 'inspired', 'braneworld', 'scenario', 'where', 'a', 'scalar', 'field', 'nonminimally', 'coupled', 'to', 'the', 'induced', 'ricci', 'curvature', 'is', 'present', 'on', 'the', 'brane', 'first', 'we', 'investigate', 'the', 'status', 'of', 'gravitational', 'potential', 'with', 'nonminimal', 'coupling', 'and', 'observational', 'constraints', 'on', 'this', 'nonminimal', 'model', 'then', 'we', 'further', 'deepen', 'the', 'idea', 'of', 'embedding', 'of', 'frw', 'cosmology', 'in', 'this', 'nonminimal', 'setup', 'cosmological', 'implications', 'of', 'this', 'scenario', 'are', 'examined', 'with', 'details', 'and', 'the', 'quintessence', 'and', 'latetime', 'expansion', 'of', 'the', 'universe', 'within', 'this', 'framework', 'are', 'examined', 'some', 'observational', 'constraints', 'imposed', 'on', 'this', 'nonminimal', 'scenario', 'are', 'studied', 'and', 'relation', 'of', 'this', 'model', 'with', 'dark', 'radiation', 'formalism', 'is', 'determined', 'with', 'details']] | [-0.1793976168823885, 0.10683195738067083, -0.0731530534240472, 0.10780236914333906, -0.18402805429079808, -0.1837983032284469, -0.06496734898217826, 0.3179895626472346, -0.18005690522784112, -0.31254222556291256, 0.0322955643539043, -0.22116511678505762, -0.14759263458351293, 0.11069122224808763, -0.018912149047679908, -0.03487293446418263, -0.004341467009747729, 0.02949823413098998, -0.017431654401269613, -0.28625711221613137, 0.40824995467475816, 0.08996441000707302, 0.20053144984572724, 0.0664748283475181, 0.09380132874802631, -0.10518602881005362, -0.056985933128196525, 0.025767145970580625, -0.2582991880424065, 0.08583909993552986, 0.11570091284446272, 0.15162280983035908, 0.20417747016786142, -0.44098249490500663, -0.30037637425623104, 0.15725703749294376, 0.11778082975012925, 0.13614964062877583, -0.08219632005898793, -0.32063918630135996, 0.028049570426125738, -0.21010972753021062, -0.09918501871745285, -0.021899836297676552, -0.05711217595643236, -0.08796778910713257, -0.23986401220820114, 0.09035981459287452, -0.027638083972109883, -0.03105418678080919, -0.11730688600800931, -0.020323513787897193, -0.004706185630650497, -0.04700922598496225, 0.1625954627502235, 0.026435888728455585, 0.11974741731697292, -0.15795029698832272, -0.07331351739212907, 0.39705458233206004, -0.16191708975855043, -0.21323369940207568, 0.11241069798102128, -0.13761500261413553, -0.17151870961100155, -0.038236611292186175, 0.14371200999719838, 0.12885204428697333, -0.18011197805468576, 0.22972118303261915, 0.04796032398464341, 0.12241523872659195, 0.05268585739209883, 0.028957304690836693, 0.3244503085391925, 0.208058832197304, -0.042172860427230015, 0.1364289010947972, -0.011530088950701825, -0.13433515402378843, -0.4458393977188012, -0.10581155943513224, -0.12217897863364686, 0.04055160317369098, -0.1789029648010482, -0.13665288524341532, 0.4037272444670545, 0.16916397918819212, 0.1667200530486583, 0.058832316371776605, 0.2893519524265738, 0.035925146476502585, -0.01726053400859967, 0.045996107133653236, 0.35548448992930765, 0.15839167481617017, 0.12517372388666606, -0.2515398449510993, -0.0613705687494218, 0.030511955500069056] |
708.1612 | Flavor SU(3) analysis of charmless B->PP decays | We perform a global fits to charmless $B \to PP$ decays which independently
constrain the $(\bar\rho,\bar\eta)$ vertex of the unitarity triangle. The
fitted amplitudes and phase are used to predict the branching ratios and CP
asymmetries of all decay modes, including those of the $B_s$ system. Different
schemes of SU(3) breaking in decay amplitude sizes are analyzed. The
possibility of having a new physics contribution to $K \pi$ decays is also
discussed.
| hep-ph | we perform a global fits to charmless b to pp decays which independently constrain the barrhobareta vertex of the unitarity triangle the fitted amplitudes and phase are used to predict the branching ratios and cp asymmetries of all decay modes including those of the b_s system different schemes of su3 breaking in decay amplitude sizes are analyzed the possibility of having a new physics contribution to k pi decays is also discussed | [['we', 'perform', 'a', 'global', 'fits', 'to', 'charmless', 'b', 'to', 'pp', 'decays', 'which', 'independently', 'constrain', 'the', 'barrhobareta', 'vertex', 'of', 'the', 'unitarity', 'triangle', 'the', 'fitted', 'amplitudes', 'and', 'phase', 'are', 'used', 'to', 'predict', 'the', 'branching', 'ratios', 'and', 'cp', 'asymmetries', 'of', 'all', 'decay', 'modes', 'including', 'those', 'of', 'the', 'b_s', 'system', 'different', 'schemes', 'of', 'su3', 'breaking', 'in', 'decay', 'amplitude', 'sizes', 'are', 'analyzed', 'the', 'possibility', 'of', 'having', 'a', 'new', 'physics', 'contribution', 'to', 'k', 'pi', 'decays', 'is', 'also', 'discussed']] | [-0.10649835530219004, 0.23076201893854886, -0.09530010427503537, 0.11350532530114935, -0.07244327976756419, -0.15976622269954532, 0.08346880483764431, 0.28267605337249635, -0.25095849085806143, -0.22808976880171233, 0.0164185067971832, -0.3205307619064115, -0.004568998171533976, 0.10506763831815785, 0.09737044223584235, 0.11810443537332402, 0.049760836273586996, -0.012366640475294035, -0.08249847104565965, -0.21287529413853512, 0.2225488521831317, -0.0409886103330387, 0.21863513626158237, 0.05303137164769901, -0.07668902294244617, -0.022695529672394816, -0.0877390186166546, -0.04164585186582473, -0.1754129500930301, 0.03153343001354693, 0.16928653781198794, 0.12269171414421483, 0.04927536638246642, -0.34558894287329167, -0.07113427897760023, 0.16625813117975163, 0.18742413049201584, 0.09325790946442997, 0.01990496279904619, -0.33548371486055356, 0.10976070561890891, -0.1490849017799418, -0.1196849493878997, -0.11026320525626135, 0.059979005328690015, -0.055076690649406776, -0.3662911439831886, 0.07262571832810256, -0.06139028039372837, 0.025913650131163497, 0.0228677610349324, -0.23874811767988527, -0.022624986246228218, 0.09685610863541821, 0.12452202440019594, 0.03952520574805223, 0.14598138297959748, -0.10853095339350854, -0.17220909681054763, 0.4310103179595899, -0.04468877025647089, -0.1640499639712895, 0.15640792636097306, -0.18838546740719014, -0.1781883920258325, 0.17127453738875273, 0.22658377775870678, 0.03822017517328883, -0.17454273521434516, 0.10861385406557626, -0.001651342246784932, 0.1411210358298073, 0.0736658211487035, 0.08648025359757917, 0.17977092089131474, 0.13113566943340832, -0.029512373070853453, 0.09801286918162885, -0.09942862965544919, -0.0719979084872951, -0.3827234835156964, -0.08915942598186019, -0.05248159434833926, 0.03656500956923184, -0.04802115650858872, -0.09400360196984063, 0.41432821610942483, 0.045223177578817636, 0.2774852691218257, 0.033663955977923855, 0.27797668693043914, 0.09967822666820009, 0.07886113609048254, 0.042996631424304925, 0.3127279609390017, 0.22769649853257257, 0.11023895758100682, -0.31964144884841517, 0.03895510418159473, 0.043346741417836815] |
708.1613 | Simplified Version of the Nucleon and Delta-Isobar Description | Considering synchronous spin-isospin rotation as a collective motion a
simplified scheme of the nucleon and delta isobar description is formulated.
| nucl-th | considering synchronous spinisospin rotation as a collective motion a simplified scheme of the nucleon and delta isobar description is formulated | [['considering', 'synchronous', 'spinisospin', 'rotation', 'as', 'a', 'collective', 'motion', 'a', 'simplified', 'scheme', 'of', 'the', 'nucleon', 'and', 'delta', 'isobar', 'description', 'is', 'formulated']] | [-0.20119131542742252, 0.19327360143652186, -0.11241795783862471, 0.10373573697288521, -0.08068899698555469, -0.13559377952478827, 0.06260723043233156, 0.28005918497219684, -0.20384346551727503, -0.23859600722789764, -0.11443697707727551, -0.15810000374913216, -0.08375904578715562, 0.08224919978529215, -0.0006148927845060825, 0.03331869672983885, 0.05362817086279392, 0.11078964294865727, -0.04401897774077952, -0.07291388157755137, 0.2189696450252086, -0.0006663543172180653, 0.2233393202535808, 0.012752474565058947, 0.14146119658835232, 0.11829248426947743, -0.01098580677062273, -0.014195427531376481, -0.08771789001766592, 0.05715742203174159, 0.2207120072096586, 0.06823685821109393, 0.11477641277015209, -0.39436283530667426, -0.18696865322999656, 0.020701588969677685, 0.21524954233318566, 0.21279112752527, 0.040235603041946885, -0.3200961511582136, -0.028035798855125905, -0.3315971791744232, -0.19431525077670814, -0.15222667288035155, 0.02979910783469677, 0.012705578911118209, -0.34410345058422537, 0.13445709785446525, 0.08127985745668412, 0.10166350655490533, -0.11555601935833693, -0.18530046744272113, -0.028255390655249357, 0.030420578620396554, 0.054052813292946665, 0.0975225887959823, 0.20132257091463543, -0.11959487022832035, -0.11277365578571334, 0.5175333008170128, -0.008794448478147388, -0.31851570047438144, 0.02708975560963154, -0.04998051184229553, -0.083078041812405, 0.09369284883141518, 0.1776612107641995, 0.09022056087851524, -0.22641444769687952, 0.064401568096946, -0.0884507573209703, 0.1762303039431572, 0.12085960689000785, 0.08690996272489429, 0.11004440865945071, 0.27829628633335235, -0.015413177339360118, 0.021011363132856786, -0.09246579366736114, -0.23221914004534483, -0.35541833711322396, -0.011462103901430964, -0.12024790607392788, 0.05644134532194585, -0.04058529848625767, -0.04943607524037361, 0.4094224488775581, -0.08365503335371613, 0.1820775821339339, -0.006648407783359289, 0.36714949607849123, 0.1509411366598215, -0.006874616187997162, 0.06022528593894094, 0.22752703996375204, 0.24959433125331998, 0.1004587379284203, -0.3796618221560493, -0.0022866485407575963, 0.11658711801283062] |
708.1614 | Measurement of The Time-Dependent CP Asymmetry in B0 --> K*0 gamma
Decays | We present a preliminary measurement of the time-dependent CP asymmetry in B0
--> K*0 (K_S0 pi0) gamma decays based on 431 x 10^6 Upsilon(4S) --> BBbar
decays collected with the BaBar detector at the PEP-II asymmetric-energy e+e-
collider at SLAC. In a sample containing 316 +/- 22 signal events we measure
S_{K* gamma} = -0.08 +/- 0.31 +/- 0.05 and C_{K* gamma} = -0.15 +/- 0.17 +/-
0.03. The uncertainties are statistical and systematic, respectively.
| hep-ex | we present a preliminary measurement of the timedependent cp asymmetry in b0 k0 k_s0 pi0 gamma decays based on 431 x 106 upsilon4s bbbar decays collected with the babar detector at the pepii asymmetricenergy ee collider at slac in a sample containing 316 22 signal events we measure s_k gamma 008 031 005 and c_k gamma 015 017 003 the uncertainties are statistical and systematic respectively | [['we', 'present', 'a', 'preliminary', 'measurement', 'of', 'the', 'timedependent', 'cp', 'asymmetry', 'in', 'b0', 'k0', 'k_s0', 'pi0', 'gamma', 'decays', 'based', 'on', '431', 'x', '106', 'upsilon4s', 'bbbar', 'decays', 'collected', 'with', 'the', 'babar', 'detector', 'at', 'the', 'pepii', 'asymmetricenergy', 'ee', 'collider', 'at', 'slac', 'in', 'a', 'sample', 'containing', '316', '22', 'signal', 'events', 'we', 'measure', 's_k', 'gamma', '008', '031', '005', 'and', 'c_k', 'gamma', '015', '017', '003', 'the', 'uncertainties', 'are', 'statistical', 'and', 'systematic', 'respectively']] | [-0.13309631378135897, 0.21030057407915592, -0.09898002139490211, 0.05546427928757938, -0.042968902190103, -0.14165050766402573, 0.15782209267049577, 0.28262143620910746, -0.15375691059638152, -0.2899628725805969, -0.07381794850384309, -0.6076924351932989, 0.19330733760514043, 0.1485098401035154, 0.08425690906799653, 0.15894600780059895, 0.14052005934839448, -0.02230795482738, -0.09745237653171926, -0.12059754846003753, 0.05853710267128366, 0.03100782250773839, 0.26945990820725757, 0.02610844471068545, -0.012703090285261473, -0.04074496852064675, -0.0573859605444313, -0.1424819672141563, -0.25931097459132696, -0.08067758131426561, 0.2633367003590772, 0.11427321516428933, 0.08309781815235813, -0.24922357855140229, 0.13455153435863781, 0.24886305473222764, 0.11858110624421953, -0.10339842457324266, -0.08319411960000059, -0.4329666652801362, 0.22374996362310468, -0.19399020843786385, -0.005549902632606752, 0.08124315937642347, 0.10973315647887913, -0.1806007746155515, -0.41547083345270064, 0.1944418847984211, -0.17077758871583323, 0.1698802349820846, -0.0045763760678131475, -0.34311959216067794, 0.00856965867746057, -0.1531606225339188, -0.010545999023386023, 0.18174822256674594, 0.25641113506968727, 0.05735980259311019, -0.1477772513348045, 0.37007839074640564, -0.09239109825681556, -0.07613556172735557, 0.07677835469120041, -0.3611682348348426, -0.19339173753520078, 0.26777322368456447, 0.3202608542686159, 0.00898110851024588, -0.24347342793462853, 0.15300802820693757, 0.02580631710588932, 0.21316876804286783, 0.12479560978174435, 0.09091776127531899, 0.16549916747802249, 0.20652267441266414, -0.023400396602510504, 0.021843467415733772, -0.2381493169214633, 0.11589897110719573, -0.47121738993111206, -0.06340253722296577, -0.03152123848540765, 0.1616660046927405, -0.08857287366294203, -0.006360645099035041, 0.3148318795684838, -0.0038710487336202555, 0.3646844502989993, 0.003434369372288612, 0.2560517712298668, 0.030692805857115396, -0.0892315966277348, 0.08250747436272143, 0.3046469306573272, 0.18749338219111616, 0.1329556197055023, -0.3133177890629282, -0.016331304774873635, -0.07903884396408543] |
708.1615 | Classical limit of the Casimir entropy for scalar massless field | We study the Casimir effect at finite temperature for a massless scalar field
in the parallel plates geometry in N spatial dimensions, under various
combinations of Dirichlet and Neumann boundary conditions on the plates. We
show that in all these cases the entropy, in the limit where energy
equipartitioning applies, is a geometrical factor whose sign determines the
sign of the Casimir force.
| quant-ph | we study the casimir effect at finite temperature for a massless scalar field in the parallel plates geometry in n spatial dimensions under various combinations of dirichlet and neumann boundary conditions on the plates we show that in all these cases the entropy in the limit where energy equipartitioning applies is a geometrical factor whose sign determines the sign of the casimir force | [['we', 'study', 'the', 'casimir', 'effect', 'at', 'finite', 'temperature', 'for', 'a', 'massless', 'scalar', 'field', 'in', 'the', 'parallel', 'plates', 'geometry', 'in', 'n', 'spatial', 'dimensions', 'under', 'various', 'combinations', 'of', 'dirichlet', 'and', 'neumann', 'boundary', 'conditions', 'on', 'the', 'plates', 'we', 'show', 'that', 'in', 'all', 'these', 'cases', 'the', 'entropy', 'in', 'the', 'limit', 'where', 'energy', 'equipartitioning', 'applies', 'is', 'a', 'geometrical', 'factor', 'whose', 'sign', 'determines', 'the', 'sign', 'of', 'the', 'casimir', 'force']] | [-0.19296816693589328, 0.1810994100653463, -0.07353234916393246, 0.021743199797273273, -0.03437556226974323, -0.10978082630280701, -0.03086062397120432, 0.33239038477444816, -0.22504699828162317, -0.24491453575827773, 0.06388524681004504, -0.2599578606230872, -0.09982843206648434, 0.17964729496706572, -0.02542940066713426, 0.05950624416379022, 0.016096725601643797, 0.11151268696855932, -0.0812193757654833, -0.21904384599082052, 0.4035881349136905, -0.02791840305167531, 0.3223542987354218, 0.11848662005245893, 0.08417989167251758, 0.030238492691534617, 0.042542831735715034, 0.0851244258692676, -0.17435264163560488, 0.01668408261020742, 0.1949606372878724, -0.044671671696022035, 0.20290321419163357, -0.4369392984265846, -0.18093276714226084, 0.10543568812251564, 0.06568371847878018, 0.07875459041771671, 0.0010578193062443346, -0.21190525680070832, 0.03904885216246522, -0.09484840664894335, -0.12850566394627094, -0.011875665938806913, 0.020829048120446267, -0.04321456728835723, -0.2916480576885598, 0.11472646346581834, 0.05119420410621734, 0.09010238330515605, -0.12275606185744797, -0.12888145780870838, 0.015497091187474629, 0.09567801769645441, 0.09616572953509314, -0.04974609595309529, 0.12977662633010556, -0.15767401011867654, -0.04960085051171186, 0.3532323075074052, -0.08156908841596709, -0.2824069569922156, 0.19840077842245735, -0.1869374198750371, -0.07537114757689692, 0.06795472345714058, 0.14518962148576975, 0.12270376716725646, -0.1266888455739097, 0.1936691764378107, -0.027666163118925714, 0.1342894340318347, 0.17820968801185252, -0.038158593765859096, 0.21126827730664186, 0.06479733546693174, 0.09875319299236354, 0.21577194350815954, -0.06713886556052973, -0.10431061673998124, -0.38254522742141805, -0.19942770274503838, -0.19692640575868564, 0.06391056457031814, -0.17025779026522606, -0.22291848119643945, 0.35188362445859683, 0.13943348014875065, 0.16436305216380528, 0.007227522513223073, 0.2610472338569779, 0.12997020377467075, 0.0860281238435871, 0.08969049573328997, 0.23196633270986022, 0.14623159210064582, 0.12700745195061677, -0.29933922197521917, -0.03442610736699805, 0.10511304659857637] |
708.1616 | Robustness of the second law of thermodynamics under generalizations of
the maximum entropy method | It is shown that the laws of thermodynamics are extremely robust under
generalizations of the form of entropy. Using the Bregman-type relative
entropy, the Clausius inequality is proved to be always valid. This implies
that thermodynamics is highly universal and does not rule out consistent
generalization of the maximum entropy method.
| cond-mat.stat-mech | it is shown that the laws of thermodynamics are extremely robust under generalizations of the form of entropy using the bregmantype relative entropy the clausius inequality is proved to be always valid this implies that thermodynamics is highly universal and does not rule out consistent generalization of the maximum entropy method | [['it', 'is', 'shown', 'that', 'the', 'laws', 'of', 'thermodynamics', 'are', 'extremely', 'robust', 'under', 'generalizations', 'of', 'the', 'form', 'of', 'entropy', 'using', 'the', 'bregmantype', 'relative', 'entropy', 'the', 'clausius', 'inequality', 'is', 'proved', 'to', 'be', 'always', 'valid', 'this', 'implies', 'that', 'thermodynamics', 'is', 'highly', 'universal', 'and', 'does', 'not', 'rule', 'out', 'consistent', 'generalization', 'of', 'the', 'maximum', 'entropy', 'method']] | [-0.08741817898815497, 0.12114739973098039, -0.17272068277001382, 0.10927714844699948, -0.04187465842813253, -0.19518694994971156, 0.06032089658081532, 0.2646878905966878, -0.26907821398228404, -0.20694457542151212, 0.08783541577868163, -0.2773922475427389, -0.13225291475653647, 0.25374450616538524, -0.1469516083598137, 0.06900747945532203, 0.02243005588185042, 0.09307757314294576, -0.04600117086898536, -0.24617994911968707, 0.2844732588902116, 0.09586258174851536, 0.36967431284487245, 0.1294015048944857, 0.11038397568278015, -0.07074057141784579, 0.003293742872774601, 0.1353808776848018, -0.11366606531810249, 0.10223729075863958, 0.2174195647938177, 0.1516438053548336, 0.2253418392688036, -0.31389140490442513, -0.20240266559645534, 0.14497221066150814, 0.07830220039002597, 0.08851643071277067, 0.013410958119202405, -0.19129076882265508, 0.09786992033477873, -0.18575019843876361, -0.15999244552105665, -0.16531375054270028, 0.02618313527200371, -0.022157075628638268, -0.2582951348461211, 0.1970309236412868, 0.16761876314485563, -0.03229299964237725, -0.06530962953343987, -0.03626797712408006, -0.047618254981935025, 0.018943553715944292, 0.055898518827743826, -0.0018034261651337148, 0.1102727903239429, -0.06698198927100747, -0.05868423578329384, 0.3780409495532513, -0.009578707367181779, -0.23255704637616872, 0.14496752348262817, -0.1425858654268086, -0.18341466351412236, 0.0754645802360028, 0.027245699581690132, 0.17618671311065554, -0.20001385467126964, 0.0762499586015474, -0.061516409181058405, 0.1981884578987956, 0.06994625623337924, 0.030142101030796765, 0.23617800660431384, 0.056708051031455396, 0.12203627733048052, 0.18700845868093893, 0.010458926809951663, -0.21047690410166978, -0.35740201607346533, -0.21873434068635106, -0.24491215434856714, 0.10519645333784865, -0.09313254599430365, -0.14113045253034215, 0.24558629298117013, 0.14615325294435025, 0.12824139969423412, 0.09428719781339169, 0.2172781978175044, 0.19185728007927538, 0.08586870819330215, 0.128184232423082, 0.3086515270918608, 0.2109625444188714, 0.08056622471660375, -0.21357161523075774, 0.13764762941747904, 0.1371759398467839] |
708.1617 | Evidence that a cluster of UHECRs was produced by a burst or flare | The angular clustering of 5 Ultrahigh Energy Cosmic Rays (UHECRs) in the
combined published AGASA-HiRes data has a probability of ~ 2 10^-3 of occurring
by chance. A first analysis of the implications of the event energies and
angular spreading is presented, which is applicable if the source is close
enough that GZK losses can be ignored. Under this assumption, the observed
energies of the events in this cluster favor a bursting rather than
continuously emitting source, with the events emitted on a time scale short
compared with 300 D_Mpc years. Assuming the UHECRs experience many incoherent
small magnetic deflections enroute from source to Earth, the arrival direction
distribution allows estimation that < B^2 lambda > D ~ 7.7 nG^2 Mpc^2, where
lambda is the coherence length of the field and D is the source distance. If
the spectrum at the source ~ E^{-2}, the total isotropic equivalent energy
emitted in UHECRs is > 10^43 D_Mpc^3 ergs.
| astro-ph | the angular clustering of 5 ultrahigh energy cosmic rays uhecrs in the combined published agasahires data has a probability of 2 103 of occurring by chance a first analysis of the implications of the event energies and angular spreading is presented which is applicable if the source is close enough that gzk losses can be ignored under this assumption the observed energies of the events in this cluster favor a bursting rather than continuously emitting source with the events emitted on a time scale short compared with 300 d_mpc years assuming the uhecrs experience many incoherent small magnetic deflections enroute from source to earth the arrival direction distribution allows estimation that b2 lambda d 77 ng2 mpc2 where lambda is the coherence length of the field and d is the source distance if the spectrum at the source e2 the total isotropic equivalent energy emitted in uhecrs is 1043 d_mpc3 ergs | [['the', 'angular', 'clustering', 'of', '5', 'ultrahigh', 'energy', 'cosmic', 'rays', 'uhecrs', 'in', 'the', 'combined', 'published', 'agasahires', 'data', 'has', 'a', 'probability', 'of', '2', '103', 'of', 'occurring', 'by', 'chance', 'a', 'first', 'analysis', 'of', 'the', 'implications', 'of', 'the', 'event', 'energies', 'and', 'angular', 'spreading', 'is', 'presented', 'which', 'is', 'applicable', 'if', 'the', 'source', 'is', 'close', 'enough', 'that', 'gzk', 'losses', 'can', 'be', 'ignored', 'under', 'this', 'assumption', 'the', 'observed', 'energies', 'of', 'the', 'events', 'in', 'this', 'cluster', 'favor', 'a', 'bursting', 'rather', 'than', 'continuously', 'emitting', 'source', 'with', 'the', 'events', 'emitted', 'on', 'a', 'time', 'scale', 'short', 'compared', 'with', '300', 'd_mpc', 'years', 'assuming', 'the', 'uhecrs', 'experience', 'many', 'incoherent', 'small', 'magnetic', 'deflections', 'enroute', 'from', 'source', 'to', 'earth', 'the', 'arrival', 'direction', 'distribution', 'allows', 'estimation', 'that', 'b2', 'lambda', 'd', '77', 'ng2', 'mpc2', 'where', 'lambda', 'is', 'the', 'coherence', 'length', 'of', 'the', 'field', 'and', 'd', 'is', 'the', 'source', 'distance', 'if', 'the', 'spectrum', 'at', 'the', 'source', 'e2', 'the', 'total', 'isotropic', 'equivalent', 'energy', 'emitted', 'in', 'uhecrs', 'is', '1043', 'd_mpc3', 'ergs']] | [-0.13691435630017942, 0.21003306081921264, -0.060582221731090465, 0.14430585612166938, -0.03781790923440476, -0.06866251887608874, 0.009933585006070349, 0.3965725621107865, -0.22859997808857746, -0.3440432397623521, 0.02438981146819109, -0.3329735643001678, 0.0368949554678103, 0.19555142321749716, 0.02333942361528406, -0.02314395590911846, 0.07331594944352636, 0.0607628340744791, -0.015565667600320602, -0.19899974677183135, 0.2566008469258196, 0.1790672748025532, 0.2637425318133791, 0.054128667444692344, 0.11325502548464322, -0.02135142418272743, -0.024602875667246612, -0.028955436012757994, -0.09474745133903108, 0.06694412418103123, 0.21880048685833006, 0.10694121774852376, 0.22416830840961052, -0.3605047036214052, -0.21878472796163043, 0.13154385427982118, 0.13670914782041282, 0.032263492795479846, -0.0255370285980265, -0.27102122360186, 0.07640525851574903, -0.15979988983127516, -0.1448307504116029, 0.11590783601246044, 0.07352840277441852, 0.04277565341751167, -0.2238274409335006, 0.14174934100938608, 0.03021394556098794, 0.008686923491139267, -0.08089086011907942, -0.09320420643465745, 0.0014245826530748524, 0.0482086686518144, 0.10840823021213952, 0.1001656844463149, 0.16949236585925384, -0.07457604254533008, -0.06718884803027518, 0.4040210325950505, -0.04347603491987684, -0.10079168769014948, 0.14750529823484956, -0.20820236293838132, -0.12566255552165612, 0.2490773389896227, 0.14604846422160925, 0.10652910349135464, -0.16071785158616164, 0.07485404195235665, 0.022666595003101975, 0.2178245880574183, 0.08951285485189245, 0.041773709046931284, 0.2271162423712667, 0.14874476619769592, 0.07009668043473219, 0.08435855102505081, -0.21503655640943278, 0.0007654532846818502, -0.3052438818723769, -0.06595533985543896, -0.2113608030155553, 0.14412685794318472, -0.11703686706853143, -0.07808705498019983, 0.3627143866395125, 0.13118290578996814, 0.2116032548223597, 0.024877272256039636, 0.2691436330536129, 0.07566578674281167, 0.037229121662676334, 0.1381772979071389, 0.2833941200074765, 0.10398110327062297, 0.10525366090980635, -0.1778234549848413, 0.09668526060665278, -0.030115440646949463] |
708.1618 | Gluon Vortices and Induced Magnetic Field in Compact Stars | The natural candidates for the realization of color superconductivity are the
extremely dense cores of compact stars, many of which have very large magnetic
fields, especially the so-called magnetars. In this paper we discuss how a
color superconducting core can serve to generate and enhance the stellar
magnetic field without appealing to a magnetohydrodynamic dynamo mechanism.
| astro-ph hep-ph nucl-th | the natural candidates for the realization of color superconductivity are the extremely dense cores of compact stars many of which have very large magnetic fields especially the socalled magnetars in this paper we discuss how a color superconducting core can serve to generate and enhance the stellar magnetic field without appealing to a magnetohydrodynamic dynamo mechanism | [['the', 'natural', 'candidates', 'for', 'the', 'realization', 'of', 'color', 'superconductivity', 'are', 'the', 'extremely', 'dense', 'cores', 'of', 'compact', 'stars', 'many', 'of', 'which', 'have', 'very', 'large', 'magnetic', 'fields', 'especially', 'the', 'socalled', 'magnetars', 'in', 'this', 'paper', 'we', 'discuss', 'how', 'a', 'color', 'superconducting', 'core', 'can', 'serve', 'to', 'generate', 'and', 'enhance', 'the', 'stellar', 'magnetic', 'field', 'without', 'appealing', 'to', 'a', 'magnetohydrodynamic', 'dynamo', 'mechanism']] | [-0.13533939213292406, 0.21046140542187328, -0.0453157235668706, 0.14506420561935687, -0.16338841763873851, -0.05485557972653104, 0.028155647469767637, 0.3978125590697995, -0.19711734454280563, -0.3466182321176997, 0.06456082373915706, -0.1724450285879097, -0.09189117590098508, 0.21773095003196172, -0.047590293954791765, -0.02744330810050347, 0.031995972335737734, -0.00045166260263483437, -0.03294400055061227, -0.23032440731185488, 0.34429592742318554, 0.021884192812389562, 0.24837644817307591, 0.015264488024903195, 0.043605325843340585, -0.12374873905875054, 0.03428636454711003, 0.031152141164056957, -0.0536229972536343, 0.08989571816554028, 0.2706421420776418, 0.07725121160703045, 0.21502495434002153, -0.48033188030655893, -0.25440146798999713, 0.10108264561027422, 0.16049684353804747, 0.13630217375923945, -0.14516898563929967, -0.2412710016194199, 0.17314988118596375, -0.16297798708546907, -0.1427813495065493, -0.10950028671816524, 0.008486374366579444, 0.02915508289152058, -0.28676804301462006, -0.0023220808839791323, 0.09997300485390172, 0.06028158751515938, -0.07450939584357132, -0.0676110468754944, -0.008845367776562594, 0.08266790858137288, 0.034813352494633625, 0.0952867539932153, 0.14747854124289006, -0.2514158721138041, -0.07669688609062827, 0.42087217699736357, -0.037990481630134, -0.07547767091143344, 0.24384539436349378, -0.12821229093242437, -0.15586598589184827, 0.08426515378856234, 0.19096646926897978, 0.1366010057972744, -0.15302976302336901, 0.01907437105026994, -0.0535002468386665, 0.10054161785436529, 0.024535432200147107, 0.11963119351172022, 0.3591982981057039, 0.19563603346302574, 0.00984446093519052, 0.13727100897813216, -0.17930855908031976, -0.022881379001773894, -0.24758070616683522, -0.16252317384351045, -0.1544684223897223, 0.054034894972573966, -0.0900105668112831, -0.21343709568360023, 0.386215935743946, 0.1989058392188911, 0.1893576201650181, -0.06510825115713358, 0.26194687630049884, 0.08487410749824319, 0.1418453359843365, 0.11070966491076563, 0.2746803437309739, 0.22416241965921863, 0.1217825623295669, -0.25720642127894927, 0.002297365545278548, -0.0117452836296122] |
708.1619 | Magnetic Phases in Dense Quark Matter | In this paper I discuss the magnetic phases of the three-flavor color
superconductor. These phases can take place at different field strengths in a
highly dense quark system. Given that the best natural candidates for the
realization of color superconductivity are the extremely dense cores of neutron
stars, which typically have very large magnetic fields, the magnetic phases
here discussed could have implications for the physics of these compact
objects.
| nucl-th astro-ph hep-ph | in this paper i discuss the magnetic phases of the threeflavor color superconductor these phases can take place at different field strengths in a highly dense quark system given that the best natural candidates for the realization of color superconductivity are the extremely dense cores of neutron stars which typically have very large magnetic fields the magnetic phases here discussed could have implications for the physics of these compact objects | [['in', 'this', 'paper', 'i', 'discuss', 'the', 'magnetic', 'phases', 'of', 'the', 'threeflavor', 'color', 'superconductor', 'these', 'phases', 'can', 'take', 'place', 'at', 'different', 'field', 'strengths', 'in', 'a', 'highly', 'dense', 'quark', 'system', 'given', 'that', 'the', 'best', 'natural', 'candidates', 'for', 'the', 'realization', 'of', 'color', 'superconductivity', 'are', 'the', 'extremely', 'dense', 'cores', 'of', 'neutron', 'stars', 'which', 'typically', 'have', 'very', 'large', 'magnetic', 'fields', 'the', 'magnetic', 'phases', 'here', 'discussed', 'could', 'have', 'implications', 'for', 'the', 'physics', 'of', 'these', 'compact', 'objects']] | [-0.14790873681860311, 0.2539502893973674, -0.048353057960048317, 0.06612581623152697, -0.06742610254191926, -0.07283816376834043, 0.052722395705391785, 0.3941003362515143, -0.187216295275305, -0.31566616826291594, 0.0615020559934367, -0.20564442123619042, -0.07473434624927384, 0.1605346569126206, 0.003586489407877837, -0.02276054574176669, 0.022893762387268778, 0.018064166928109315, -0.09249591626160379, -0.25605070510646327, 0.36297477522997984, -0.03498317306595189, 0.25362252234481275, 0.044509957431416426, 0.034536993483613644, -0.11362698233154203, 0.04406016223531749, 0.03275241650907057, -0.07130200952409983, 0.03177586088090071, 0.2738118201851778, 0.04231955013237894, 0.1454367209225893, -0.48390391234840663, -0.2403207209194079, 0.09527550983974443, 0.14195426175636905, 0.12177708625760196, -0.13120966226394687, -0.29883166450474946, 0.11425191071217082, -0.1442081544149135, -0.11360333390267832, -0.11190157187437373, 0.06726908325383972, 0.03335813901919339, -0.25115857254713775, 0.018507832227208254, 0.038427582750695626, 0.05372226514446084, -0.0790346589937274, -0.17616491789896307, 0.016611362587926642, 0.08784254251181015, 0.02326304271285023, 0.05881209612957069, 0.11617503576645893, -0.23802001485268454, -0.08329797433024007, 0.41541652243052213, 0.0041074256312900355, -0.0551004904821249, 0.2432645181326994, -0.17281515790278457, -0.19706866051336483, 0.10061621987926109, 0.18840500921277062, 0.14056925824843347, -0.17293012988354478, 0.04877353272001658, -0.05143050007256014, 0.12299727310559579, 0.014644773713579135, 0.12992032296024264, 0.37161824091204576, 0.20499789230525495, -0.025741835164704494, 0.09395752061557557, -0.1637046836283324, -0.04464877810595291, -0.2913564984420581, -0.14797441262219632, -0.15366798037929194, -0.005863011405537171, -0.1218225317807602, -0.16783229300220098, 0.3944106516561338, 0.18578321537435322, 0.18590814056141036, -0.08922542165798535, 0.24572311751544476, 0.08533915060106664, 0.09041319526731968, 0.055785672898803436, 0.2981651499867439, 0.18723887912929058, 0.125091376421707, -0.22392047052936895, 0.015639273760773773, 0.010773583631297308] |
708.162 | The group of automorphisms of the first Weyl algebra in prime
characteristic and the restriction map | Let $K$ be a {\em perfect} field of characteristic $p>0$, $A_1:=K< x, \der |
\der x- x\der =1>$ be the first Weyl algebra and $Z:=K[X:=x^p, Y:=\der^p]$ be
its centre. It is proved that $(i)$ the restriction map $\res :\Aut_K(A_1)\ra
\Aut_K(Z), \s \mapsto \s|_Z$, is a monomorphism with $\im (\res) = \G :=\{\tau
\in \Aut_K(Z) | \CJ (\tau) =1\}$ where $\CJ (\tau) $ is the Jacobian of $\tau$
(note that $\Aut_K(Z)=K^*\ltimes \G$ and if $K$ is {\em not} perfect then $\im
(\res) \neq \G$); $(ii)$ the bijection $\res : \Aut_K(A_1) \ra \G$ is a
monomorphism of infinite dimensional algebraic groups which is {\em not} an
isomorphism (even if $K$ is algebraically closed); $(iii)$ an explicit formula
for $\res^{-1}$ is found via differential operators $\CD (Z)$ on $Z$ and
negative powers of the Fronenius map $F$. Proofs are based on the following
(non-obvious) equality proved in the paper: $$ (\frac{d}{dx}+f)^p=
(\frac{d}{dx})^p+\frac{d^{p-1}f}{dx^{p-1}}+f^p, f\in K[x].$$
| math.RA math.AG | let k be a em perfect field of characteristic p0 a_1k x der der x xder 1 be the first weyl algebra and zkxxp yderp be its centre it is proved that i the restriction map res aut_ka_1ra aut_kz s mapsto s_z is a monomorphism with im res g tau in aut_kz cj tau 1 where cj tau is the jacobian of tau note that aut_kzkltimes g and if k is em not perfect then im res neq g ii the bijection res aut_ka_1 ra g is a monomorphism of infinite dimensional algebraic groups which is em not an isomorphism even if k is algebraically closed iii an explicit formula for res1 is found via differential operators cd z on z and negative powers of the fronenius map f proofs are based on the following nonobvious equality proved in the paper fracddxfp fracddxpfracdp1fdxp1fp fin kx | [['let', 'k', 'be', 'a', 'em', 'perfect', 'field', 'of', 'characteristic', 'p0', 'a_1k', 'x', 'der', 'der', 'x', 'xder', '1', 'be', 'the', 'first', 'weyl', 'algebra', 'and', 'zkxxp', 'yderp', 'be', 'its', 'centre', 'it', 'is', 'proved', 'that', 'i', 'the', 'restriction', 'map', 'res', 'aut_ka_1ra', 'aut_kz', 's', 'mapsto', 's_z', 'is', 'a', 'monomorphism', 'with', 'im', 'res', 'g', 'tau', 'in', 'aut_kz', 'cj', 'tau', '1', 'where', 'cj', 'tau', 'is', 'the', 'jacobian', 'of', 'tau', 'note', 'that', 'aut_kzkltimes', 'g', 'and', 'if', 'k', 'is', 'em', 'not', 'perfect', 'then', 'im', 'res', 'neq', 'g', 'ii', 'the', 'bijection', 'res', 'aut_ka_1', 'ra', 'g', 'is', 'a', 'monomorphism', 'of', 'infinite', 'dimensional', 'algebraic', 'groups', 'which', 'is', 'em', 'not', 'an', 'isomorphism', 'even', 'if', 'k', 'is', 'algebraically', 'closed', 'iii', 'an', 'explicit', 'formula', 'for', 'res1', 'is', 'found', 'via', 'differential', 'operators', 'cd', 'z', 'on', 'z', 'and', 'negative', 'powers', 'of', 'the', 'fronenius', 'map', 'f', 'proofs', 'are', 'based', 'on', 'the', 'following', 'nonobvious', 'equality', 'proved', 'in', 'the', 'paper', 'fracddxfp', 'fracddxpfracdp1fdxp1fp', 'fin', 'kx']] | [-0.23613165066457603, 0.11408766675518944, -0.06833954634311706, -0.0013663016551577333, -0.10051380631638997, -0.24473846933123336, 0.0165069645241167, 0.3264309502026038, -0.3489878422844766, -0.1786425868257769, 0.029392828217902178, -0.2740086488001771, -0.10489079928539916, 0.16709412312927419, -0.0594621569529843, -0.08326901924673037, 0.01763588450883807, 0.09641257186295159, -0.04405392479644949, -0.2555887455176284, 0.3036006372317727, -0.034374667060519774, 0.16743244147518954, 0.026244091172355103, 0.0921698020694694, -0.025797248129913613, 0.007787375947210326, -0.010103605751907314, -0.1984976381705266, 0.009139528028048408, 0.3033832496365727, 0.10511400468591879, 0.2331152210123281, -0.2958974754785313, -0.09910172030135099, 0.2121445030154688, 0.13176761622498953, -0.084540319699384, 0.044619164261063424, -0.24370842316507627, 0.2029023762920927, -0.15620181352810572, -0.052176899353125646, 0.0021713112077828664, 0.20664843838790486, 0.015289115219085074, -0.35943929564708205, 0.025330143699200072, 0.1714144168254822, 0.10958928254141069, 0.003936510775481531, -0.14546535727342091, -0.07166585956575043, -0.0017628712065295496, -0.043167647175880064, 0.15218905415455464, 0.05707920353456553, -0.07307128284072005, -0.05652431803824964, 0.3535924566242455, -0.056881495118975195, -0.17169293686886555, 0.08826238683376239, -0.17508880949384575, -0.12162421515850878, 0.14326301789773044, 0.011754657838618688, 0.17247164143430097, -0.055832285650983214, 0.2988998851823141, -0.12048453724345387, 0.13636084323151232, 0.07399703579917445, -0.06994173372748183, 0.12135863083991598, -0.014216814725312278, 0.10094299282767434, 0.048079474826531014, -0.00662434866665793, 0.07286935029099625, -0.3623391399924546, -0.23676072529155706, -0.17654516282421884, 0.21499612487165376, -0.05910885452135178, -0.11649189541748822, 0.3024789060243586, 0.053372018831980124, 0.16502719278683636, 0.06413090551609117, 0.20473076719547442, 0.15460252996756516, -0.028220631362898135, 0.11438245103875203, 0.111182963558987, 0.2264337869145588, 0.011397005997097759, -0.16468915207061305, 0.0003815595366394342, 0.1615954504900876] |
708.1621 | Memorino on the `1/2 vs. 3/2 Puzzle' in $\bar B \to l \bar \nu X_c$ -- a
Year Later and a Bit Wiser | The OPE treatment that has been so successful in describing inclusive $\bar B
\to l \bar \nu X_c$ decays yields sum rules (in particular the Uraltsev sum
rule and its higher moments) implying the dominance of the $P$ wave $j_q = 3/2$
charm states in $X_c$ over their $j_q=1/2$ counterparts. This prediction is
supported by other general arguments as well as quark model calculations, which
illustrate the OPE results, and by preliminary lattice findings. Its failure
would indicate a significant limitation in our theoretical understanding of
$\bar B \to l \bar \nu X_c$. Some experimental issues have been clarified since
a preliminary version of this note had appeared, yet the verdict on the
composition of the final states {\em beyond} $D$, $D^*$ and the two narrow $j_q
= 3/2$ resonances remains unsettled. Establishing which hadronic configurations
-- $D/D^* + \pi, D/D^* + 2 \pi, ...$ -- contribute, what their quantum numbers
are and their mass distributions will require considerable experimental effort.
We explain the theoretical issues involved and why a better understanding of
them will be of significant value. Having significant contributions from a mass
continuum distribution below 2.5 GeV raises serious theoretical questions for
which we have no good answer. Two lists are given, one with measurements that
need to be done and one with items of theoretical homework. Some of the latter
can be done by employing existing theoretical tools, whereas others need new
ideas.
| hep-ph | the ope treatment that has been so successful in describing inclusive bar b to l bar nu x_c decays yields sum rules in particular the uraltsev sum rule and its higher moments implying the dominance of the p wave j_q 32 charm states in x_c over their j_q12 counterparts this prediction is supported by other general arguments as well as quark model calculations which illustrate the ope results and by preliminary lattice findings its failure would indicate a significant limitation in our theoretical understanding of bar b to l bar nu x_c some experimental issues have been clarified since a preliminary version of this note had appeared yet the verdict on the composition of the final states em beyond d d and the two narrow j_q 32 resonances remains unsettled establishing which hadronic configurations dd pi dd 2 pi contribute what their quantum numbers are and their mass distributions will require considerable experimental effort we explain the theoretical issues involved and why a better understanding of them will be of significant value having significant contributions from a mass continuum distribution below 25 gev raises serious theoretical questions for which we have no good answer two lists are given one with measurements that need to be done and one with items of theoretical homework some of the latter can be done by employing existing theoretical tools whereas others need new ideas | [['the', 'ope', 'treatment', 'that', 'has', 'been', 'so', 'successful', 'in', 'describing', 'inclusive', 'bar', 'b', 'to', 'l', 'bar', 'nu', 'x_c', 'decays', 'yields', 'sum', 'rules', 'in', 'particular', 'the', 'uraltsev', 'sum', 'rule', 'and', 'its', 'higher', 'moments', 'implying', 'the', 'dominance', 'of', 'the', 'p', 'wave', 'j_q', '32', 'charm', 'states', 'in', 'x_c', 'over', 'their', 'j_q12', 'counterparts', 'this', 'prediction', 'is', 'supported', 'by', 'other', 'general', 'arguments', 'as', 'well', 'as', 'quark', 'model', 'calculations', 'which', 'illustrate', 'the', 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708.1622 | Classifying finite localizations of quasi-coherent sheaves | Given a quasi-compact, quasi-separated scheme X, a bijection between the
tensor localizing subcategories of finite type in Qcoh(X) and the set of all
subsets $Y\subseteq X$ of the form $Y=\bigcup_{i\in\Omega}Y_i$, with
$X\setminus Y_i$ quasi-compact and open for all $i\in\Omega$, is established.
As an application, there is constructed an isomorphism of ringed spaces
(X,O_X)-->(Spec(Qcoh(X)),O_{Qcoh(X)}), where $(Spec(Qcoh(X)),O_{Qcoh(X)})$ is a
ringed space associated to the lattice of tensor localizing subcategories of
finite type. Also, a bijective correspondence between the tensor thick
subcategories of perfect complexes $\perf(X)$ and the tensor localizing
subcategories of finite type in Qcoh(X) is established.
| math.AG math.KT | given a quasicompact quasiseparated scheme x a bijection between the tensor localizing subcategories of finite type in qcohx and the set of all subsets ysubseteq x of the form ybigcup_iinomegay_i with xsetminus y_i quasicompact and open for all iinomega is established as an application there is constructed an isomorphism of ringed spaces xo_xspecqcohxo_qcohx where specqcohxo_qcohx is a ringed space associated to the lattice of tensor localizing subcategories of finite type also a bijective correspondence between the tensor thick subcategories of perfect complexes perfx and the tensor localizing subcategories of finite type in qcohx is established | [['given', 'a', 'quasicompact', 'quasiseparated', 'scheme', 'x', 'a', 'bijection', 'between', 'the', 'tensor', 'localizing', 'subcategories', 'of', 'finite', 'type', 'in', 'qcohx', 'and', 'the', 'set', 'of', 'all', 'subsets', 'ysubseteq', 'x', 'of', 'the', 'form', 'ybigcup_iinomegay_i', 'with', 'xsetminus', 'y_i', 'quasicompact', 'and', 'open', 'for', 'all', 'iinomega', 'is', 'established', 'as', 'an', 'application', 'there', 'is', 'constructed', 'an', 'isomorphism', 'of', 'ringed', 'spaces', 'xo_xspecqcohxo_qcohx', 'where', 'specqcohxo_qcohx', 'is', 'a', 'ringed', 'space', 'associated', 'to', 'the', 'lattice', 'of', 'tensor', 'localizing', 'subcategories', 'of', 'finite', 'type', 'also', 'a', 'bijective', 'correspondence', 'between', 'the', 'tensor', 'thick', 'subcategories', 'of', 'perfect', 'complexes', 'perfx', 'and', 'the', 'tensor', 'localizing', 'subcategories', 'of', 'finite', 'type', 'in', 'qcohx', 'is', 'established']] | [-0.1973480274798451, 0.07187402243553251, -0.021107026836374304, 0.054670481609978845, -0.06659066373901953, -0.12501953396905255, -0.0026962700617182388, 0.4072254140871567, -0.40173577943018507, -0.1027326367099534, 0.07066869535381076, -0.22240929789636488, -0.05599507188250485, 0.1514554081310692, -0.14524633342215976, -0.09365016381655421, 0.03320406041246235, 0.07179571530566765, -0.07043636106159333, -0.2671002989000344, 0.44970242376183417, -0.09924872302716332, 0.27676349474055756, 0.02254317027061236, 0.19370597985747096, -0.02186166892176146, -0.016523708456328938, 0.04664519487510456, -0.12696626567496702, 0.13626964199407907, 0.36617493856657335, 0.10125472224675693, 0.17699451611510345, -0.3106363548354788, -0.10123866525284209, 0.20874860388441727, 0.10553199224747144, -0.02478683835079709, -0.04595104035931629, -0.3176715147200522, 0.19291200507227535, -0.24014849087817, -0.08189572937847985, -0.06455543303892917, 0.12579222537249654, 0.0021066880979380763, -0.30458362857493887, -0.015048097268036045, 0.0925103575835557, 0.11042679295424822, -0.12796075786412744, -0.0627461210261662, -0.09605158991078017, 0.13437752204097725, -0.07140357774979138, 0.08672863816596814, 0.03146012305476508, -0.125564302215455, -0.07994079898664175, 0.34160935999518566, -0.055143900676169894, -0.23493925081873004, 0.17340490811985437, -0.09656646813184105, -0.07567140501975031, 0.12935732883288636, -0.010472198272799398, 0.1898663988603013, -0.06483052692671593, 0.23280818080644708, -0.16684338497509668, 0.10249009710905439, 0.11129682771042808, 0.06112970567339069, 0.1331974774430209, 0.13301668817607257, 0.06284267018845939, 0.1585897888456072, -0.003401504707353824, -0.014988441973960457, -0.42155893294365854, -0.19217283099603194, -0.12145392371822598, 0.13978439473270715, -0.12691546502669604, -0.2282971905564869, 0.33891788881493873, 0.021253689627193813, 0.20993808267259417, 0.07431752864107653, 0.19669165099960761, -0.05347314483347313, 0.039569370893781985, 0.027593993766049107, 0.10101636739161152, 0.27548757493291254, -0.09100383845577528, -0.09390053239070227, -0.04591481114614878, 0.24617694807494736] |
708.1623 | Unbalanced Renormalization of Tunneling in MOSFET-type Structures in
Strong High-Frequency Electric Fields | Two-dimensional electron gas coupled to adjacent impurity sites in
high-frequency out-of-plane ac control electric field is investigated.
Modification of tunneling rates as a function of the field amplitude is
calculated. Nonlinear dependence on the ac field strength is reported for the
conductivity of two-dimensional electron gas. It develops a periodic peak
structure.
| cond-mat.mes-hall quant-ph | twodimensional electron gas coupled to adjacent impurity sites in highfrequency outofplane ac control electric field is investigated modification of tunneling rates as a function of the field amplitude is calculated nonlinear dependence on the ac field strength is reported for the conductivity of twodimensional electron gas it develops a periodic peak structure | [['twodimensional', 'electron', 'gas', 'coupled', 'to', 'adjacent', 'impurity', 'sites', 'in', 'highfrequency', 'outofplane', 'ac', 'control', 'electric', 'field', 'is', 'investigated', 'modification', 'of', 'tunneling', 'rates', 'as', 'a', 'function', 'of', 'the', 'field', 'amplitude', 'is', 'calculated', 'nonlinear', 'dependence', 'on', 'the', 'ac', 'field', 'strength', 'is', 'reported', 'for', 'the', 'conductivity', 'of', 'twodimensional', 'electron', 'gas', 'it', 'develops', 'a', 'periodic', 'peak', 'structure']] | [-0.23643963959721775, 0.18073190028595632, 0.020504457016403858, 0.04419687068170438, -0.03455773246689485, -0.15469989214593974, 0.02398122312913004, 0.4088086870033294, -0.2516815754083487, -0.23667319351807237, -0.01305577951671484, -0.2958101890533446, -0.08515704174239475, 0.21521989503302252, 0.08597450298391497, 0.010774475253688602, -0.06879495730614647, 0.0030748550153265777, -0.03972741761782135, -0.16266190342587203, 0.24732592317741364, 0.043683942228269115, 0.37535726096337807, 0.0855973389877293, 0.06768661761172833, 0.06797694316348778, 0.07585492518802102, 0.08519160160526204, -0.12849120605880252, -0.005938445135353294, 0.1913405005605175, -0.15004672440521133, 0.22410539074245697, -0.45033125325034445, -0.21818482784706597, -0.025614715091740854, 0.13121749772332036, 0.15046039499485722, -0.10676332983376387, -0.19297381716583353, -0.02802922517562715, -0.1263649784780752, -0.17579323799985175, -0.04417964580576294, 0.06442497163572206, 0.04733993702281553, -0.33373847573015014, 0.16826686814713937, 0.0010146640706807375, 0.09677666332572699, -0.13472816125991252, -0.06635386077687144, -0.046199663184010066, 0.012476982781663537, 0.057028526928311646, 0.127215904264281, 0.29658140109565395, -0.13046477954440677, -0.04980001557403459, 0.3077529744746593, -0.13187226538474744, -0.13259064844952753, 0.12717008087425852, -0.23013856790315074, 0.006841834562902267, 0.2106014182074712, 0.14384100920198342, 0.048652098496229604, -0.17013081808041675, 0.11451891562543236, -0.029269980024904586, 0.16756594665975383, 0.06997910294180307, 0.024232850607054737, 0.25776766251342803, 0.1777054711531561, 0.05222989520272957, 0.16037044442222956, -0.16967135313629675, -0.056992216125273935, -0.17956160614266992, -0.10451248781128715, -0.20213686635431188, 0.09640014965463287, -0.025375781706176125, -0.24391884116742474, 0.44606751217865026, 0.09937700099096848, 0.14614883949084637, -0.11163797702353734, 0.3136172319601218, 0.24531652319665925, 0.07315309209605822, 0.03434127875460455, 0.2607213011271177, 0.25324618030124557, 0.1357482069154055, -0.3642082246862209, 0.010133127905786611, 0.0463452625554055] |
708.1624 | Designing a Collaborative Research Environment for Students and their
Supervisors (CRESS) | In a previous paper the CSCR domain was defined. Here this is taken to the
next stage where the design of a particular Collaborative Research Environment
to support Students and Supervisors (CRESS) is considered. Following the CSCR
structure this paper deals with an analysis of 13 collaborative working
environments to determine a preliminary design for CRESS in order to discover
the most appropriate set of tools for its implementation.
| cs.HC | in a previous paper the cscr domain was defined here this is taken to the next stage where the design of a particular collaborative research environment to support students and supervisors cress is considered following the cscr structure this paper deals with an analysis of 13 collaborative working environments to determine a preliminary design for cress in order to discover the most appropriate set of tools for its implementation | [['in', 'a', 'previous', 'paper', 'the', 'cscr', 'domain', 'was', 'defined', 'here', 'this', 'is', 'taken', 'to', 'the', 'next', 'stage', 'where', 'the', 'design', 'of', 'a', 'particular', 'collaborative', 'research', 'environment', 'to', 'support', 'students', 'and', 'supervisors', 'cress', 'is', 'considered', 'following', 'the', 'cscr', 'structure', 'this', 'paper', 'deals', 'with', 'an', 'analysis', 'of', '13', 'collaborative', 'working', 'environments', 'to', 'determine', 'a', 'preliminary', 'design', 'for', 'cress', 'in', 'order', 'to', 'discover', 'the', 'most', 'appropriate', 'set', 'of', 'tools', 'for', 'its', 'implementation']] | [-0.10049634706228971, 0.027908955574368018, -0.06720047313180091, -0.005682745923126197, -0.13877165277717987, -0.08360521350919768, 0.03409880941288303, 0.38762599472766335, -0.22867325487701842, -0.29922702430706954, 0.14215437169321746, -0.23325497797096445, -0.16317462356950063, 0.1485666783283586, -0.10798804783869696, 0.03609407789738633, 0.048949006216033646, 0.04675294550648634, -0.028903479984812977, -0.26408844878154714, 0.3306976299179529, 0.10838714524077764, 0.2601409804555115, 0.022401058061075382, 0.060439433443589485, 0.007498339635144541, -0.08586704118879161, -0.00668683023178491, -0.1229793012034202, 0.16445989909487357, 0.3451519266742727, 0.1702593196439894, 0.37684917274822033, -0.384252292468496, -0.1486092004250141, 0.0645210689905545, 0.12235087330412606, 0.06811143995466831, -0.06762675852076137, -0.28459667735665606, 0.12955172565779177, -0.18549538262701337, -0.13937282653363503, -0.021202682226641522, 0.004989880177637805, -0.03387907392385861, -0.30372791427973844, -0.06683141713880975, 0.060555645050940715, 0.08204352480453858, -0.06045308633390274, -0.10436333913653009, 0.07989756728225536, 0.17265835163298238, 0.007036618638675714, 0.06713496309880546, 0.1113100162288849, -0.12073640864801363, -0.14409416042727188, 0.38552116470384423, 0.012850928665273756, -0.16173092648386955, 0.19875848497790488, -0.08651820201750683, -0.18494958098491895, 0.027007653134996475, 0.2377968320481317, 0.10778804794898715, -0.2163572841993722, 0.06281268653254012, -0.003100446958526753, 0.17768966787211274, -0.003936084331539662, -0.040539806816672935, 0.1339203121640004, 0.2555667645925575, 0.062245509101320866, 0.14382342651378419, -0.02828979127082056, -0.06609123113794603, -0.29590226574868395, -0.1977200110618403, -0.15783203088853887, -0.010482041821545125, 0.018110156815332037, -0.1260041975942643, 0.4105971620242665, 0.19113725724805525, 0.14518022130958844, 0.03605501745714455, 0.28407520044972934, 0.05744702422816772, 0.019747375436397135, 0.0638200735565329, 0.20202663044134775, 0.07282961359706477, 0.1720157961860515, -0.16137836758465762, 0.06595022017406164, -0.006486374950643791] |
708.1625 | On n-point Amplitudes in N=4 SYM | The computation of n-point planar amplitudes in N=4 SYM at strong coupling is
known to be reduced to the search for solutions of the integrable 2d SO(4,2)
sigma-model with growing asymptotics on the world-sheet and to the study of
their Whitham deformations induced by an epsilon-regularization, which breaks
both integrability and SO(4,2) symmetry. A multi-parameter (moduli) family of
such solutions is constructed for n=4. They all correspond to the same s and t
and some are related by SO(4,2) transformations. Nevertheless, they lead to
different regularized areas, whose minimum is the Alday-Maldacena solution. A
brief review of results on n-point amplitudes is also provided, with special
emphasis on the underlying equivalence of the above regularized minimal area in
AdS and a double contour integral along the same boundary, two purely geometric
quantities.
| hep-th | the computation of npoint planar amplitudes in n4 sym at strong coupling is known to be reduced to the search for solutions of the integrable 2d so42 sigmamodel with growing asymptotics on the worldsheet and to the study of their whitham deformations induced by an epsilonregularization which breaks both integrability and so42 symmetry a multiparameter moduli family of such solutions is constructed for n4 they all correspond to the same s and t and some are related by so42 transformations nevertheless they lead to different regularized areas whose minimum is the aldaymaldacena solution a brief review of results on npoint amplitudes is also provided with special emphasis on the underlying equivalence of the above regularized minimal area in ads and a double contour integral along the same boundary two purely geometric quantities | [['the', 'computation', 'of', 'npoint', 'planar', 'amplitudes', 'in', 'n4', 'sym', 'at', 'strong', 'coupling', 'is', 'known', 'to', 'be', 'reduced', 'to', 'the', 'search', 'for', 'solutions', 'of', 'the', 'integrable', '2d', 'so42', 'sigmamodel', 'with', 'growing', 'asymptotics', 'on', 'the', 'worldsheet', 'and', 'to', 'the', 'study', 'of', 'their', 'whitham', 'deformations', 'induced', 'by', 'an', 'epsilonregularization', 'which', 'breaks', 'both', 'integrability', 'and', 'so42', 'symmetry', 'a', 'multiparameter', 'moduli', 'family', 'of', 'such', 'solutions', 'is', 'constructed', 'for', 'n4', 'they', 'all', 'correspond', 'to', 'the', 'same', 's', 'and', 't', 'and', 'some', 'are', 'related', 'by', 'so42', 'transformations', 'nevertheless', 'they', 'lead', 'to', 'different', 'regularized', 'areas', 'whose', 'minimum', 'is', 'the', 'aldaymaldacena', 'solution', 'a', 'brief', 'review', 'of', 'results', 'on', 'npoint', 'amplitudes', 'is', 'also', 'provided', 'with', 'special', 'emphasis', 'on', 'the', 'underlying', 'equivalence', 'of', 'the', 'above', 'regularized', 'minimal', 'area', 'in', 'ads', 'and', 'a', 'double', 'contour', 'integral', 'along', 'the', 'same', 'boundary', 'two', 'purely', 'geometric', 'quantities']] | [-0.1570955556390793, 0.14697809910629644, -0.05176332933323472, 0.10064177227540667, -0.08250006840329703, -0.11990394035553317, -0.02440311056508448, 0.33256908879017294, -0.24578109992141942, -0.2412313903603731, 0.15876737273056488, -0.29084810294843644, -0.1817503463075219, 0.17028620893994117, -0.06329072592402311, 0.08466160580345237, 0.011433226330106268, 0.06964796385727823, -0.14222742648944542, -0.24700822725799645, 0.31861139482726125, -0.005406014088057835, 0.2881734293835764, 0.048202047612382996, 0.11120439632902392, 0.023750608493680603, -0.02580154938836589, 0.012630116784561227, -0.1498296939703913, 0.13382451006616572, 0.24214081241898522, 0.054192036358312566, 0.13242826023928195, -0.43914284988285135, -0.1716436390544622, 0.07736107711733553, 0.1413672745320235, 0.10205020919310655, 0.0236673365633238, -0.2731939501392136, 0.053325554540821614, -0.09230740707481408, -0.18378394137612963, -0.07605537309361096, 0.04184308958431805, -0.008972496514116194, -0.23072365305265624, 0.027322825337431345, 0.05222053633725541, 0.040444699167593856, -0.06188922862607616, -0.08512746537004719, -0.08718494296727972, 0.09085328861864866, 0.10053005053142783, 0.07196080450231622, 0.04847635423768141, -0.19221612280021413, -0.1002459833540648, 0.35115186774966356, -0.03382822549866356, -0.24881676696454183, 0.16830777616919027, -0.13627465451065138, -0.17296692411564574, 0.1344438797717857, 0.11232047826264992, 0.1406045353914547, -0.14054145971810772, 0.18966133449047107, -0.024748822346237268, 0.08226214332207468, 0.1182227045624652, 0.04686459929163333, 0.20012746402595677, 0.08970533848121648, 0.07186253346993325, 0.14163984427360093, 0.0011751870020427777, -0.1471890192567762, -0.40241272076395634, -0.11529349343751678, -0.12310613492834346, 0.08762414085870708, -0.1449666375178579, -0.2097750506470449, 0.38813688172709965, 0.06737691099677263, 0.19499404137982554, 0.0847716782915669, 0.16789612400110895, 0.15011530394047384, 0.10065785612384895, 0.0527343392524982, 0.2263167407205915, 0.15465275789628816, 0.032039417199193294, -0.2422689024100386, -0.06993451091382681, 0.1770715352026959] |
708.1626 | Thermodynamic Entropy And The Accessible States of Some Simple Systems | Comparison of the thermodynamic entropy with Boltzmann's principle shows that
under conditions of constant volume the total number of arrangements in simple
thermodynamic systems with temperature-independent heat capacities is TC/k. A
physical interpretation of this function is given for three such systems; an
ideal monatomic gas, an ideal gas of diatomic molecules with rotational motion,
and a solid in the Dulong-Petit limit of high temperature. T1/2 emerges as a
natural measure of the number of accessible states for a single particle in one
dimension. Extension to N particles in three dimensions leads to TC/k as the
total number of possible arrangements or microstates. The different microstates
of the system are thus shown a posteriori to be equally probable, with
probability T-C/k, which implies that for the purposes of counting states the
particles of the gas are distinguishable. The most probable energy state of the
system is determined by the degeneracy of the microstates.
| physics.gen-ph | comparison of the thermodynamic entropy with boltzmanns principle shows that under conditions of constant volume the total number of arrangements in simple thermodynamic systems with temperatureindependent heat capacities is tck a physical interpretation of this function is given for three such systems an ideal monatomic gas an ideal gas of diatomic molecules with rotational motion and a solid in the dulongpetit limit of high temperature t12 emerges as a natural measure of the number of accessible states for a single particle in one dimension extension to n particles in three dimensions leads to tck as the total number of possible arrangements or microstates the different microstates of the system are thus shown a posteriori to be equally probable with probability tck which implies that for the purposes of counting states the particles of the gas are distinguishable the most probable energy state of the system is determined by the degeneracy of the microstates | [['comparison', 'of', 'the', 'thermodynamic', 'entropy', 'with', 'boltzmanns', 'principle', 'shows', 'that', 'under', 'conditions', 'of', 'constant', 'volume', 'the', 'total', 'number', 'of', 'arrangements', 'in', 'simple', 'thermodynamic', 'systems', 'with', 'temperatureindependent', 'heat', 'capacities', 'is', 'tck', 'a', 'physical', 'interpretation', 'of', 'this', 'function', 'is', 'given', 'for', 'three', 'such', 'systems', 'an', 'ideal', 'monatomic', 'gas', 'an', 'ideal', 'gas', 'of', 'diatomic', 'molecules', 'with', 'rotational', 'motion', 'and', 'a', 'solid', 'in', 'the', 'dulongpetit', 'limit', 'of', 'high', 'temperature', 't12', 'emerges', 'as', 'a', 'natural', 'measure', 'of', 'the', 'number', 'of', 'accessible', 'states', 'for', 'a', 'single', 'particle', 'in', 'one', 'dimension', 'extension', 'to', 'n', 'particles', 'in', 'three', 'dimensions', 'leads', 'to', 'tck', 'as', 'the', 'total', 'number', 'of', 'possible', 'arrangements', 'or', 'microstates', 'the', 'different', 'microstates', 'of', 'the', 'system', 'are', 'thus', 'shown', 'a', 'posteriori', 'to', 'be', 'equally', 'probable', 'with', 'probability', 'tck', 'which', 'implies', 'that', 'for', 'the', 'purposes', 'of', 'counting', 'states', 'the', 'particles', 'of', 'the', 'gas', 'are', 'distinguishable', 'the', 'most', 'probable', 'energy', 'state', 'of', 'the', 'system', 'is', 'determined', 'by', 'the', 'degeneracy', 'of', 'the', 'microstates']] | [-0.14200149062949421, 0.18043819234993314, -0.059547437805365894, 0.03135792830551128, 0.027227077482487348, -0.12812119000134806, 0.0560011730317842, 0.2756192544170844, -0.23883582396947114, -0.30715152533615336, 0.039178982617491795, -0.2939650328355093, -0.038339694510700996, 0.1875359754046133, -0.034564343583922276, 0.06642985676667879, 0.02571489554951637, 0.08819015619338923, -0.035551629910699024, -0.2172556750208529, 0.31826303060489153, 0.06634768494861383, 0.24934611759252018, 0.04850433710041864, 0.12983154646102704, -0.026588341324313185, 0.06004730177422365, 0.06311257796520306, -0.1374605924711491, 0.09803660800917344, 0.22942729191124148, 0.10096550348300024, 0.21023735212576058, -0.37988116692605556, -0.21670885999486142, 0.11147188940663742, 0.11966359270188738, 0.11280464333728613, 0.0008865715783649411, -0.20337202516232245, 0.014234802296866049, -0.1684923383233813, -0.19228171674668595, -0.06523459446707777, 0.0618345252317346, 0.03289715561321845, -0.25341316671080255, 0.11956726429942886, 0.057285730305486934, 0.056806423457862895, -0.08075365426438842, -0.11799200182762362, -0.05696408143206165, 0.09766985912992941, 0.03743466986206306, -0.009854502306362383, 0.15605444149144626, -0.12874169655454656, -0.09285995155402453, 0.4125920757864377, -0.03600728827729529, -0.20177599214062283, 0.23676102205477897, -0.1448975600990059, -0.11628551772959969, 0.1826135235331843, 0.08106354799949461, 0.12115413782314635, -0.15397523145428768, 0.04845178913700948, -0.06679761382976389, 0.16255342029035091, 0.05306694134339398, 0.0770908002345975, 0.24965392610703419, 0.15198941287140247, 0.08257636919410692, 0.17351928967381433, -0.08279502056721671, -0.10721559980404838, -0.2970029465440247, -0.2494887997247157, -0.24613163224117088, 0.08100360326219375, -0.1027013872797849, -0.17481648697410526, 0.33169123970026915, 0.09122323005892385, 0.21439623601393762, 0.03698924400317148, 0.2587067257199023, 0.11907044359714133, 0.01938620673452985, 0.050055026667180404, 0.2009451301354501, 0.14186204836880362, 0.05165279263880079, -0.23576425890943487, 0.039801571219916045, 0.06809405848654779] |
708.1627 | Rearranging Edgeworth-Cornish-Fisher Expansions | This paper applies a regularization procedure called increasing rearrangement
to monotonize Edgeworth and Cornish-Fisher expansions and any other related
approximations of distribution and quantile functions of sample statistics.
Besides satisfying the logical monotonicity, required of distribution and
quantile functions, the procedure often delivers strikingly better
approximations to the distribution and quantile functions of the sample mean
than the original Edgeworth-Cornish-Fisher expansions.
| stat.ME econ.EM | this paper applies a regularization procedure called increasing rearrangement to monotonize edgeworth and cornishfisher expansions and any other related approximations of distribution and quantile functions of sample statistics besides satisfying the logical monotonicity required of distribution and quantile functions the procedure often delivers strikingly better approximations to the distribution and quantile functions of the sample mean than the original edgeworthcornishfisher expansions | [['this', 'paper', 'applies', 'a', 'regularization', 'procedure', 'called', 'increasing', 'rearrangement', 'to', 'monotonize', 'edgeworth', 'and', 'cornishfisher', 'expansions', 'and', 'any', 'other', 'related', 'approximations', 'of', 'distribution', 'and', 'quantile', 'functions', 'of', 'sample', 'statistics', 'besides', 'satisfying', 'the', 'logical', 'monotonicity', 'required', 'of', 'distribution', 'and', 'quantile', 'functions', 'the', 'procedure', 'often', 'delivers', 'strikingly', 'better', 'approximations', 'to', 'the', 'distribution', 'and', 'quantile', 'functions', 'of', 'the', 'sample', 'mean', 'than', 'the', 'original', 'edgeworthcornishfisher', 'expansions']] | [-0.02575093423947692, 0.030836054915562273, -0.17679091452931364, 0.18158359585601527, -0.06734948468705018, -0.1028865898726508, 0.10883499123350096, 0.3559593815356493, -0.23617715258151292, -0.2928710929428538, 0.06591303366197583, -0.30198644840468963, -0.1116793192923069, 0.16194252548739313, -0.09959045510428648, 0.15439672473197183, 0.0034922249421166876, -0.031719426655520994, -0.1550974059966393, -0.2705222870533665, 0.28604491671236854, 0.06162986325410505, 0.31535850594130654, -0.030999168887501583, 0.11062300962706408, 0.06485175079821298, -0.0660824822805201, -0.03752897667194096, -0.12373698486480862, 0.15616833499904412, 0.20585643927721928, 0.16018418500510354, 0.35649289111606774, -0.339495044635017, -0.1448398022757222, 0.1316962017386686, 0.15810426675404113, 0.019969296051810186, 0.030901562500124175, -0.18822064980243644, 0.02433467797624568, -0.17067440853764612, -0.13700838765750328, -0.13931352933868765, -0.05671328629396157, 0.11867645655875095, -0.38722744149466354, 0.14718465138381967, 0.09558670284847419, 0.062004172685556115, -0.048560016641082865, -0.18185399072244762, 0.00898816209131231, 0.04948613308370113, 0.08267242706691226, 0.03116463791423788, 0.1117680809693411, -0.11036872785237696, -0.05221659854287282, 0.3090708501326541, -0.013534381796732001, -0.2529578760576745, 0.13978049848228694, -0.2005603926256299, -0.13884878841539225, 0.09540217313139389, 0.16795894210226833, 0.14903089829410116, -0.15257792201203604, 0.051764828893162, 0.032797204113254944, 0.11626148661598563, 0.10483482298441231, 0.06202154815740262, 0.06596490008135637, 0.05475677335925866, 0.10008396357297897, 0.16410421994611776, -0.04618900425606019, -0.12149563165924822, -0.3322381443499277, -0.11193339856496702, -0.21778185510387024, -0.016892319700370233, -0.1933073470124024, -0.29826748732787867, 0.3965295149634282, 0.16980106389770905, 0.16326683214865625, 0.20387445068142065, 0.289793600110958, 0.1797692131406317, 0.05043145423114766, 0.07117677894420922, 0.08518237398626903, 0.16697248456378777, 0.04070973411823312, -0.13074750313535333, 0.15835604078602045, 0.09965358044331273] |
708.1628 | Blocks adjustment -- reduction of bias and variance of detrended
fluctuation analysis using Monte Carlo simulation | The length of minimal and maximal blocks equally distant on log-log scale
versus fluctuation function considerably influences bias and variance of DFA.
Through a number of extensive Monte Carlo simulations and different fractional
Brownian motion/fractional Gaussian noise generators, we found the pair of
minimal and maximal blocks that minimizes the sum of mean-squared error of
estimated Hurst exponents for the series of length N=2^p, p=7,...,15.
Sensitivity of DFA to sort-range correlations was examined using ARFIMA(p,d,q)
generator. Due to the bias of the estimator for anti-persistent processes, we
narrowed down the range of Hurst exponent to 1/2<=H< 1.
| cond-mat.stat-mech | the length of minimal and maximal blocks equally distant on loglog scale versus fluctuation function considerably influences bias and variance of dfa through a number of extensive monte carlo simulations and different fractional brownian motionfractional gaussian noise generators we found the pair of minimal and maximal blocks that minimizes the sum of meansquared error of estimated hurst exponents for the series of length n2p p715 sensitivity of dfa to sortrange correlations was examined using arfimapdq generator due to the bias of the estimator for antipersistent processes we narrowed down the range of hurst exponent to 12h 1 | [['the', 'length', 'of', 'minimal', 'and', 'maximal', 'blocks', 'equally', 'distant', 'on', 'loglog', 'scale', 'versus', 'fluctuation', 'function', 'considerably', 'influences', 'bias', 'and', 'variance', 'of', 'dfa', 'through', 'a', 'number', 'of', 'extensive', 'monte', 'carlo', 'simulations', 'and', 'different', 'fractional', 'brownian', 'motionfractional', 'gaussian', 'noise', 'generators', 'we', 'found', 'the', 'pair', 'of', 'minimal', 'and', 'maximal', 'blocks', 'that', 'minimizes', 'the', 'sum', 'of', 'meansquared', 'error', 'of', 'estimated', 'hurst', 'exponents', 'for', 'the', 'series', 'of', 'length', 'n2p', 'p715', 'sensitivity', 'of', 'dfa', 'to', 'sortrange', 'correlations', 'was', 'examined', 'using', 'arfimapdq', 'generator', 'due', 'to', 'the', 'bias', 'of', 'the', 'estimator', 'for', 'antipersistent', 'processes', 'we', 'narrowed', 'down', 'the', 'range', 'of', 'hurst', 'exponent', 'to', '12h', '1']] | [-0.12195913790054219, 0.17071287200776158, -0.058242965870166336, 0.12660078978746808, 0.0012953714761752835, -0.12522389257817418, 0.09126334158097825, 0.35811057665400325, -0.3018352172227316, -0.3059718113552819, 0.07911806362330594, -0.341413739658091, -0.09464073495974423, 0.23697179350601408, -0.024705854697673713, 0.13047988598124796, 0.009726225668864866, 0.0011647536171480052, -0.048076416042843656, -0.23572674981989367, 0.21279160270807884, 0.0965488961370792, 0.28249756136648757, -0.04052089858281937, 0.12344846744040247, 0.042165158571855675, -0.09891759532113228, 0.03403507499524983, -0.20137949572084032, 0.050075738921120605, 0.16315327958774664, 0.03131222131571943, 0.2720227786590175, -0.33966745618450384, -0.16461472902246702, 0.1795372953838719, 0.18488840998140393, 0.020267850646789196, 0.06723346097409845, -0.24917396790378035, 0.10850404718169762, -0.14191308638371367, -0.10882870909026875, -0.0036618709564208984, 0.07936833704751665, 0.05083681812249525, -0.32631957712232745, 0.18570433225562816, 0.039634921598017854, 0.11169291072354842, 0.0365201944950968, -0.1611837339387225, -0.020522269288889103, 0.110455490004081, 0.10208326349690837, -0.01621820054627875, 0.18402012422560685, -0.08769046162725777, -0.14043828016597656, 0.2532964682466881, -0.06194390961024109, -0.2032352659190374, 0.106111004019797, -0.19271514242294654, -0.06731904581469554, 0.14546828549755839, 0.14570922125631602, 0.04986202917612528, -0.13642665502485088, 0.0890064744343881, 0.04190225815100054, 0.22691829357376342, 0.04662659638110669, 0.0498556492059061, 0.08700962243000826, 0.141776496574523, 0.07286934267168724, 0.16866531678205055, -0.14827191818415397, -0.11748144746587802, -0.3207262907958319, -0.16067470809424755, -0.237649462906824, 0.05269888490788959, -0.2084182186436499, -0.18071113765159602, 0.4147164055787187, 0.17960079002284235, 0.14871879664727897, 0.1623995609741698, 0.22087900910366287, 0.14247774651213999, 0.040531380923204526, 0.05876818335344715, 0.1468238881063117, 0.1378905677076389, -0.014454296910234036, -0.2743992849067855, 0.07617659466240996, 0.06871255364028676] |
708.1629 | Fast spectroscopy and imaging with the FORS2 HIT mode | The HIgh-Time resolution (HIT) mode of FORS2 has 3 sub-modes that allow for
imaging and spectroscopy over a range of timescales from milliseconds up to
seconds. It is the only high time resolution spectroscopy mode available on an
8m class telescope. In imaging mode, it can be used to measure the pulse of
pulsars and spinning white dwarfs in a variety of high throughput broad- and
narrow-band filters. In spectroscopy mode it can take up to 10 spectra per
second using a novel ''shift-and-wait'' clocking pattern for the CCD. It takes
advantage of the user-designed masks which can be inserted into FORS2 to allow
any two targets within the 6.8' x 6.8' field of view of FORS2 to be selected. A
number of integration, or more precisely 'wait', times are available, which
together with the high throughput GRISMs can observe the entire optical
spectrum on a range of timescales.
| astro-ph | the hightime resolution hit mode of fors2 has 3 submodes that allow for imaging and spectroscopy over a range of timescales from milliseconds up to seconds it is the only high time resolution spectroscopy mode available on an 8m class telescope in imaging mode it can be used to measure the pulse of pulsars and spinning white dwarfs in a variety of high throughput broad and narrowband filters in spectroscopy mode it can take up to 10 spectra per second using a novel shiftandwait clocking pattern for the ccd it takes advantage of the userdesigned masks which can be inserted into fors2 to allow any two targets within the 68 x 68 field of view of fors2 to be selected a number of integration or more precisely wait times are available which together with the high throughput grisms can observe the entire optical spectrum on a range of timescales | [['the', 'hightime', 'resolution', 'hit', 'mode', 'of', 'fors2', 'has', '3', 'submodes', 'that', 'allow', 'for', 'imaging', 'and', 'spectroscopy', 'over', 'a', 'range', 'of', 'timescales', 'from', 'milliseconds', 'up', 'to', 'seconds', 'it', 'is', 'the', 'only', 'high', 'time', 'resolution', 'spectroscopy', 'mode', 'available', 'on', 'an', '8m', 'class', 'telescope', 'in', 'imaging', 'mode', 'it', 'can', 'be', 'used', 'to', 'measure', 'the', 'pulse', 'of', 'pulsars', 'and', 'spinning', 'white', 'dwarfs', 'in', 'a', 'variety', 'of', 'high', 'throughput', 'broad', 'and', 'narrowband', 'filters', 'in', 'spectroscopy', 'mode', 'it', 'can', 'take', 'up', 'to', '10', 'spectra', 'per', 'second', 'using', 'a', 'novel', 'shiftandwait', 'clocking', 'pattern', 'for', 'the', 'ccd', 'it', 'takes', 'advantage', 'of', 'the', 'userdesigned', 'masks', 'which', 'can', 'be', 'inserted', 'into', 'fors2', 'to', 'allow', 'any', 'two', 'targets', 'within', 'the', '68', 'x', '68', 'field', 'of', 'view', 'of', 'fors2', 'to', 'be', 'selected', 'a', 'number', 'of', 'integration', 'or', 'more', 'precisely', 'wait', 'times', 'are', 'available', 'which', 'together', 'with', 'the', 'high', 'throughput', 'grisms', 'can', 'observe', 'the', 'entire', 'optical', 'spectrum', 'on', 'a', 'range', 'of', 'timescales']] | [-0.09836497041947409, 0.1107235077110385, -0.09861396740794785, -0.00527010448009556, -0.09820717691469032, -0.16181208370442227, 0.0741637326144563, 0.44538072424129005, -0.2196756701513722, -0.36352384368561813, 0.13677460943723121, -0.2715057123616036, -0.008835581570196696, 0.26538338429590286, -0.04275189524491292, -0.0015189342760808162, 0.12299306012966947, -0.013118985002448253, -0.03082900371157086, -0.2563137272372842, 0.19382192608522805, 0.08100774223488327, 0.2377484381651959, -0.023467450305139897, 0.1381749057893742, 0.0010145153587595938, -0.01724559727527604, -0.00967436349900389, -0.0897340086366721, 0.03781936422770692, 0.26641183068214386, 0.11085321549074473, 0.2675212893219715, -0.3891097116464988, -0.20796967045139722, 0.06195767996266384, 0.15346481610951643, 0.05026784310796978, 0.00707214024982563, -0.2620790349004941, 0.11207338632399065, -0.15351874724886305, -0.09775989620735541, -0.04906888262406495, 0.007538310366185583, 0.03163887224650967, -0.255919440982964, 0.016723563139503066, -0.05268053407151554, 0.08268522259596786, -0.0842080578535191, -0.06633924599736929, 0.0019451612756096733, 0.13071654637728036, -0.04373426419349287, 0.05082997106364928, 0.09098926652852143, -0.10666081777890213, -0.04702131781173316, 0.35217828405242274, -0.12022266675076271, -0.07853080867553709, 0.17789561146039617, -0.22191459302652022, -0.10789481939974467, 0.24405682779773064, 0.18993277259672853, 0.16058924407824068, -0.15324944188516285, 0.015049666899800728, 0.025653057700224424, 0.2800097201598456, 0.11424558580777533, 0.11529943471887728, 0.24803911532728454, 0.17339576172604654, 0.04443360098348175, 0.08940780433162267, -0.2773458140247778, 0.0020842180222373557, -0.2281896127010318, -0.15335782819326865, -0.13726572244903198, 0.08331462854167095, -0.09449362847216607, -0.09159176852679937, 0.4098949464969337, 0.13565702708217794, 0.16828349154958552, 0.03510768336992761, 0.3015852385024364, 0.10737789393327124, 0.18039209764479106, -0.002236922853626311, 0.25079467897051694, 0.1069070691356083, 0.12848116540447557, -0.15288279458547696, -0.03177618347517391, -0.04319196127707491] |
708.163 | Time-Dependent Analysis of the Decay B0 --> rho0 rho0 | We study the decay B0 --> rho0 rho0 in a sample of about 427 million
Upsilon(4S) --> BBbar decays collected with the BABAR detector at the PEP-II
asymmetric-energy e+e- collider at SLAC. We find the branching fraction
B = (0.84 +/- 0.29 +/- 0.17)*1e-6 and longitudinal polarization fraction of
f_L = 0.70 +/- 0.14 +/- 0.05, where the first uncertainty is statistical, and
the second is systematic. The evidence for the B0 --> rho0 rho0 signal has 3.6
sigma significance. We investigate the proper-time dependence of the
longitudinal component in the decay and measure the CP-violating coefficients
S^{00}_L = 0.5 +/- 0.9 +/- 0.2 and C^{00}_L = 0.4 +/- 0.9 +/- 0.2,
corresponding to the sine and cosine terms in the time evolution of asymmetry.
We study the implication of these results for penguin contributions in B -->
rho rho decays and for the CKM unitarity angle alpha.
| hep-ex | we study the decay b0 rho0 rho0 in a sample of about 427 million upsilon4s bbbar decays collected with the babar detector at the pepii asymmetricenergy ee collider at slac we find the branching fraction b 084 029 0171e6 and longitudinal polarization fraction of f_l 070 014 005 where the first uncertainty is statistical and the second is systematic the evidence for the b0 rho0 rho0 signal has 36 sigma significance we investigate the propertime dependence of the longitudinal component in the decay and measure the cpviolating coefficients s00_l 05 09 02 and c00_l 04 09 02 corresponding to the sine and cosine terms in the time evolution of asymmetry we study the implication of these results for penguin contributions in b rho rho decays and for the ckm unitarity angle alpha | [['we', 'study', 'the', 'decay', 'b0', 'rho0', 'rho0', 'in', 'a', 'sample', 'of', 'about', '427', 'million', 'upsilon4s', 'bbbar', 'decays', 'collected', 'with', 'the', 'babar', 'detector', 'at', 'the', 'pepii', 'asymmetricenergy', 'ee', 'collider', 'at', 'slac', 'we', 'find', 'the', 'branching', 'fraction', 'b', '084', '029', '0171e6', 'and', 'longitudinal', 'polarization', 'fraction', 'of', 'f_l', '070', '014', '005', 'where', 'the', 'first', 'uncertainty', 'is', 'statistical', 'and', 'the', 'second', 'is', 'systematic', 'the', 'evidence', 'for', 'the', 'b0', 'rho0', 'rho0', 'signal', 'has', '36', 'sigma', 'significance', 'we', 'investigate', 'the', 'propertime', 'dependence', 'of', 'the', 'longitudinal', 'component', 'in', 'the', 'decay', 'and', 'measure', 'the', 'cpviolating', 'coefficients', 's00_l', '05', '09', '02', 'and', 'c00_l', '04', '09', '02', 'corresponding', 'to', 'the', 'sine', 'and', 'cosine', 'terms', 'in', 'the', 'time', 'evolution', 'of', 'asymmetry', 'we', 'study', 'the', 'implication', 'of', 'these', 'results', 'for', 'penguin', 'contributions', 'in', 'b', 'rho', 'rho', 'decays', 'and', 'for', 'the', 'ckm', 'unitarity', 'angle', 'alpha']] | [-0.10194841448746463, 0.20555129324992064, -0.07087864796811527, 0.0735580516318509, -0.028687855308196803, -0.10035768807179822, 0.09926035721757442, 0.29657723540223613, -0.20407721250094185, -0.26038668942890425, -0.020109950059432852, -0.47295220061963383, 0.05393330234124563, 0.11960699770404676, 0.097999125628826, 0.12185113571309882, 0.06960511579748618, 0.004572649118165637, -0.09174062654578177, -0.16239543033262008, 0.1836021527568557, 0.006180507212140879, 0.2461083052651018, 0.08247942114682046, 0.016384862832609537, 0.005647760648063795, -0.07675728978329273, -0.09472711221495456, -0.20587560755666345, -0.021105420551002892, 0.18947217310959286, 0.0897069537232435, 0.13841997922665272, -0.2566907066170396, 0.06198078152803026, 0.17943987454280488, 0.1296379332315148, -0.012289365320358165, -0.03325638352431241, -0.34933373131319995, 0.1547607009681736, -0.18384479659306274, -0.06662657572400518, 0.02188949505239003, 0.11927169476917317, -0.13428270885749727, -0.3831354015210802, 0.1909790858409779, -0.09020577573989944, 0.11230541344789803, -0.031012264091174965, -0.281721669242017, -0.002256086659292842, -0.025098390570415775, 0.06264289980754256, 0.13865404798064468, 0.19032752259757169, -0.0903624939432642, -0.11477069711211578, 0.35805219111516495, -0.09885406655136698, -0.11810955214455733, 0.08065481237027534, -0.3407410279696071, -0.1463157928570412, 0.18075695763479255, 0.28041583409374077, 0.0025346658786834586, -0.1864368699440487, 0.12458954190261402, 0.01488930964481461, 0.21770542688927677, 0.10200075574883426, 0.06745463382911168, 0.1650132568979044, 0.1614379254557813, 0.00737700728309709, 0.06686086957198531, -0.20793092113652434, 0.006356119788287915, -0.43524389946833253, -0.13533166153428627, -0.025283050113321506, 0.10222005883101808, -0.12762499665918167, -0.03276177914000961, 0.360851442932274, 0.037136797146720975, 0.319560640397691, 0.05484500337868582, 0.2686802789554462, 0.10809447062598873, -0.010682575156246203, 0.06836142393166124, 0.3434077867761601, 0.22101425566501165, 0.16063617207218223, -0.30757673411623776, 0.04854209549263004, -0.04244291604417123] |
708.1631 | Leading Order Calculation of Shear Viscosity in Hot Quantum
Electrodynamics from Diagrammatic Methods | We compute the shear viscosity at leading order in hot Quantum
Electrodynamics. Starting from the Kubo relation for shear viscosity, we use
diagrammatic methods to write down the appropriate integral equations for
bosonic and fermionic effective vertices. We also show how Ward identities can
be used to put constraints on these integral equations. One of our main results
is an equation relating the kernels of the integral equations with functional
derivatives of the full self-energy; it is similar to what is obtained with
two-particle-irreducible effective action methods. However, since we use Ward
identities as our starting point, gauge invariance is preserved. Using these
constraints obtained from Ward identities and also power counting arguments, we
select the necessary diagrams that must be resummed at leading order. This
includes all non-collinear (corresponding to 2 to 2 scatterings) and collinear
(corresponding to 1+N to 2+N collinear scatterings) rungs responsible for the
Landau-Pomeranchuk-Migdal effect. We also show the equivalence between our
integral equations obtained from quantum field theory and the linearized
Boltzmann equations of Arnold, Moore and Yaffe obtained using effective kinetic
theory.
| hep-ph nucl-th | we compute the shear viscosity at leading order in hot quantum electrodynamics starting from the kubo relation for shear viscosity we use diagrammatic methods to write down the appropriate integral equations for bosonic and fermionic effective vertices we also show how ward identities can be used to put constraints on these integral equations one of our main results is an equation relating the kernels of the integral equations with functional derivatives of the full selfenergy it is similar to what is obtained with twoparticleirreducible effective action methods however since we use ward identities as our starting point gauge invariance is preserved using these constraints obtained from ward identities and also power counting arguments we select the necessary diagrams that must be resummed at leading order this includes all noncollinear corresponding to 2 to 2 scatterings and collinear corresponding to 1n to 2n collinear scatterings rungs responsible for the landaupomeranchukmigdal effect we also show the equivalence between our integral equations obtained from quantum field theory and the linearized boltzmann equations of arnold moore and yaffe obtained using effective kinetic theory | [['we', 'compute', 'the', 'shear', 'viscosity', 'at', 'leading', 'order', 'in', 'hot', 'quantum', 'electrodynamics', 'starting', 'from', 'the', 'kubo', 'relation', 'for', 'shear', 'viscosity', 'we', 'use', 'diagrammatic', 'methods', 'to', 'write', 'down', 'the', 'appropriate', 'integral', 'equations', 'for', 'bosonic', 'and', 'fermionic', 'effective', 'vertices', 'we', 'also', 'show', 'how', 'ward', 'identities', 'can', 'be', 'used', 'to', 'put', 'constraints', 'on', 'these', 'integral', 'equations', 'one', 'of', 'our', 'main', 'results', 'is', 'an', 'equation', 'relating', 'the', 'kernels', 'of', 'the', 'integral', 'equations', 'with', 'functional', 'derivatives', 'of', 'the', 'full', 'selfenergy', 'it', 'is', 'similar', 'to', 'what', 'is', 'obtained', 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708.1632 | Mechanical properties of the two-filament insulin amyloid fibril: a
theoretical study | We study the two-filament insulin fibril's structure by incorporating recent
simulation results and mechanical measurements. Our investigation suggests that
the persistence length measurement correlates well with the previously proposed
structural model, while the elasticity measurement suggests that stretching the
fibril may involve hydrogen bond breakage. Our work illustrates an attempt to
correlate nanoscale measurements with microscopic information on the quaternary
protein structure.
| cond-mat.soft cond-mat.mtrl-sci | we study the twofilament insulin fibrils structure by incorporating recent simulation results and mechanical measurements our investigation suggests that the persistence length measurement correlates well with the previously proposed structural model while the elasticity measurement suggests that stretching the fibril may involve hydrogen bond breakage our work illustrates an attempt to correlate nanoscale measurements with microscopic information on the quaternary protein structure | [['we', 'study', 'the', 'twofilament', 'insulin', 'fibrils', 'structure', 'by', 'incorporating', 'recent', 'simulation', 'results', 'and', 'mechanical', 'measurements', 'our', 'investigation', 'suggests', 'that', 'the', 'persistence', 'length', 'measurement', 'correlates', 'well', 'with', 'the', 'previously', 'proposed', 'structural', 'model', 'while', 'the', 'elasticity', 'measurement', 'suggests', 'that', 'stretching', 'the', 'fibril', 'may', 'involve', 'hydrogen', 'bond', 'breakage', 'our', 'work', 'illustrates', 'an', 'attempt', 'to', 'correlate', 'nanoscale', 'measurements', 'with', 'microscopic', 'information', 'on', 'the', 'quaternary', 'protein', 'structure']] | [-0.10128683518738515, 0.12667823390074773, -0.048590557255421676, 0.0010442742627234229, -0.06436621576112005, -0.12419676716108957, 0.03652262397771401, 0.4094576222761985, -0.2763225064207349, -0.29644991614622995, 0.03898674034468469, -0.3041971947757467, -0.24601320862289397, 0.13235595833975822, 0.0015055474134222154, 0.03678459977550853, 0.09585176590800044, -0.038767068812082854, -0.00885594257664296, -0.12477484801333517, 0.2317953083754307, 0.17442922546028822, 0.33856022338412944, 0.09404973965138197, 0.0499129154974775, 0.012061843100274283, -0.06029772762990286, 0.034000417337782925, -0.25097956301972096, 0.141788593538466, 0.20741976410030358, 0.04902258915676465, 0.20046392738849164, -0.4818386251948053, -0.30127670957646785, -0.010759146383568277, 0.13106495138978766, 0.16555621988335323, -0.0347481160518533, -0.23566563145047234, 0.031213548500090837, -0.09604626679192146, -0.09554624618331511, -0.096469888854171, -0.026479233356733477, 0.04793886699424606, -0.1946699426362982, 0.131177649619208, 0.05381628760745028, 0.11823896323180487, -0.16054349998012185, -0.1121830849442631, -0.04721839876560074, 0.11746298532272058, 0.062157638699582386, 0.0356383795207817, 0.2669529081247146, -0.07220682344068924, -0.13796778726241282, 0.33972138626080367, -0.02553862810600549, -0.12081372918140504, 0.18298932567479148, -0.14554999003256294, -0.1794134450385407, 0.13569022435694933, 0.07428926134842538, 0.036781580592956276, -0.11513099046010945, -0.0584840634396495, -0.03343423660149828, 0.2704825879360038, 0.02649975036300959, 0.014774400380349929, 0.1859457124730632, 0.2443961565863461, -0.028784972915966666, 0.1311405396047649, -0.08925278079245359, -0.14215745102433908, -0.2304112097969459, -0.1742632675074762, -0.14210118592957094, 0.04405968666317001, -0.1086216893029726, -0.15260463793041004, 0.3676829951544923, 0.14158828516918864, 0.19689365411027065, 0.07491224242614643, 0.2378962000835717, -0.03675503574401861, 0.1177853687230738, -0.019888574584206987, 0.2657603469617184, 0.16674769093139818, 0.0956376102103311, -0.31258096164392846, 0.20729983429191634, -0.001275381148462334] |
708.1633 | Charmed spectroscopy from a nonperturbatively determined relativistic
heavy quark action in full QCD | We present a preliminary calculation of the charmed meson spectrum using the
2+1 flavor domain wall fermion lattice configurations currently being generated
by the RBC and UKQCD collaborations. The calculation is performed using the
3-parameter, relativistic heavy quark action with nonperturbatively determined
coefficients. We will also demonstrate a step-scaling procedure for determining
these coefficients nonperturbatively using a series of quenched, gauge field
ensembles generated for three different lattice spacings.
| hep-lat | we present a preliminary calculation of the charmed meson spectrum using the 21 flavor domain wall fermion lattice configurations currently being generated by the rbc and ukqcd collaborations the calculation is performed using the 3parameter relativistic heavy quark action with nonperturbatively determined coefficients we will also demonstrate a stepscaling procedure for determining these coefficients nonperturbatively using a series of quenched gauge field ensembles generated for three different lattice spacings | [['we', 'present', 'a', 'preliminary', 'calculation', 'of', 'the', 'charmed', 'meson', 'spectrum', 'using', 'the', '21', 'flavor', 'domain', 'wall', 'fermion', 'lattice', 'configurations', 'currently', 'being', 'generated', 'by', 'the', 'rbc', 'and', 'ukqcd', 'collaborations', 'the', 'calculation', 'is', 'performed', 'using', 'the', '3parameter', 'relativistic', 'heavy', 'quark', 'action', 'with', 'nonperturbatively', 'determined', 'coefficients', 'we', 'will', 'also', 'demonstrate', 'a', 'stepscaling', 'procedure', 'for', 'determining', 'these', 'coefficients', 'nonperturbatively', 'using', 'a', 'series', 'of', 'quenched', 'gauge', 'field', 'ensembles', 'generated', 'for', 'three', 'different', 'lattice', 'spacings']] | [-0.12075368117919003, 0.3145405439578969, -0.10024936272816705, 0.06385003558893189, -0.023579357704822567, -0.07778182630494669, 0.07907123878206787, 0.4200396322091852, -0.1424063636880854, -0.21966970829374116, 0.05732398799897266, -0.26720138860569487, -0.040570048952772136, 0.11488628920599603, 0.11265576742859422, 0.134816764044049, 0.13650957041328723, -0.024950614131555176, -0.09862618657179932, -0.2405560701491608, 0.3361858193040488, -0.005561216511642156, 0.25373416731431, 0.11380908263010392, 0.05371792530775934, 0.02899234357924349, -0.11254703706430703, 0.0031853615697743235, -0.11227627298997148, 0.08111180097920874, 0.11394672286004989, -0.01247244549618251, 0.12567022110780943, -0.3505598332840895, -0.1778680992724401, 0.07023812038149091, 0.15705633203269562, 0.15858566868996274, -0.0776768577153511, -0.30882700300519017, 0.12397347230707174, -0.21897405488551527, -0.17952251719290632, -0.16125147620998864, -0.07021725305821747, -0.05161416167528301, -0.3706968915041374, 0.05260181013601022, -0.13717658032892624, 0.15725979281832342, -0.013911554002729446, -0.233175628312418, -0.019460021335955546, 0.12145884500384546, 0.08934693098020996, 0.07890718021308599, 0.15660919265254683, -0.14495899296109227, -0.16523116167999155, 0.44724999387087166, -0.09980438628058502, -0.23447365360461053, 0.11778013829303824, -0.1856223359717515, -0.18163371322325605, 0.05459116356096406, 0.1565393616742306, 0.1010607984389408, -0.22864480432716833, 0.1049099840363825, -0.10109702896569735, 0.17821143457220626, 0.11236706141220487, -0.03007026117268032, 0.22316114464099857, 0.14264729528593412, -0.07892237962696, 0.1130217735156201, -0.01692824646074703, -0.10524216396869093, -0.34223069725693134, -0.006502911225771127, -0.2043488229341481, 0.07602958246201709, -0.09348343778380523, -0.13016864907104467, 0.4294191406688828, 0.0895807621055755, 0.14926694277538985, 0.004091326920045674, 0.23239029903788175, 0.09196269192287455, 0.07690134627974012, 0.07233396176910163, 0.1963583549781554, 0.15028220469442508, 0.10146078298651222, -0.32966490803232446, -0.16664957147145618, 0.1828332537839162] |
708.1634 | Kontsevich formality and PBW algebras | This paper is based on the author's paper "Koszul duality in deformation
quantization, I", with some improvements. In particular, an Introduction is
added, and the convergence of the spectral sequence in Lemma 2.1 is rigorously
proven. Some informal discussion in Section 1.5 is added.
| math.KT math.RA | this paper is based on the authors paper koszul duality in deformation quantization i with some improvements in particular an introduction is added and the convergence of the spectral sequence in lemma 21 is rigorously proven some informal discussion in section 15 is added | [['this', 'paper', 'is', 'based', 'on', 'the', 'authors', 'paper', 'koszul', 'duality', 'in', 'deformation', 'quantization', 'i', 'with', 'some', 'improvements', 'in', 'particular', 'an', 'introduction', 'is', 'added', 'and', 'the', 'convergence', 'of', 'the', 'spectral', 'sequence', 'in', 'lemma', '21', 'is', 'rigorously', 'proven', 'some', 'informal', 'discussion', 'in', 'section', '15', 'is', 'added']] | [-0.10832005162956193, 0.029822957567375852, -0.11066632964436642, 0.07109287389374169, -0.0889480093663389, -0.11579042535529217, -0.014306376891909167, 0.3668598690154878, -0.25019831248474395, -0.24946299195289612, 0.16009839460655878, -0.2607314920698462, -0.21044446527957916, 0.12118954440070824, -0.23386110403490337, -0.012835957647026093, 0.07390986569754948, 0.04553618595342745, -0.07280993133529344, -0.3461568032137372, 0.3425750285810368, 0.06925130464051935, 0.2530504126440395, 0.13261031289584935, 0.04279211518058384, 0.0017798358828506687, -0.0963765537069941, -0.01621165389025753, -0.16251652128994465, 0.15420854959467595, 0.24365160004659134, 0.08144512896383689, 0.2998289382085204, -0.36603265602818946, -0.10201451476578685, 0.06435023754073138, 0.17006281987414695, 0.10735068694603714, -0.07281773003209806, -0.2407444906844334, 0.09510227209168741, -0.19997998924703675, -0.09946987467860295, -0.036372978388416494, 0.036979133474894545, 0.013333673334934494, -0.21318486569957298, 0.004941006614403291, 0.16181917227169668, 0.16413799425671724, -0.05514936585743933, -0.10854355000298131, 0.05478468541563912, 0.03432102070655674, 0.08349364930340512, 0.07900803274771367, 0.0596306590702046, -0.08104110343529927, -0.08654715018135241, 0.3324174641800875, -0.055406415623358705, -0.2406171169766987, 0.13922776028365744, -0.0895939081991938, -0.22581063987242736, 0.09383477177470922, 0.07683873418930241, 0.1021328655399636, -0.16326545083641328, 0.14397372836538125, -0.019034173593602398, 0.12840173590335657, 0.13406432191417975, 0.03237851097417826, 0.10948605136945844, 0.18747006013290957, 0.06278587524271147, 0.13893737870437856, -0.03358280076116154, -0.09928729558702219, -0.39562351044944744, -0.16722651081032713, -0.17421121641316198, 0.09712940632280978, -0.07091533306910688, -0.08117708246308294, 0.39333221794698725, 0.17378456071442502, 0.16288559248840268, 0.04589769663289189, 0.2552348346957429, 0.1394585800060833, 0.005704087542571043, 0.030934143345803022, 0.22999397028814367, 0.22638034884055908, 0.15027130939151076, -0.0847068034239452, 0.007274867088364606, 0.1441656966185705] |
708.1635 | Gravitational brainwaves, quantum fluctuations and stochastic
quantization | It is known that the biological activity of the brain involves radiation of
electric waves. These waves result from ionic currents and charges traveling
among the brain's neurons. But it is obvious that these ions and charges are
carried by their relevant masses which should give rise, according to the
gravitational theory, to extremely weak gravitational waves.
We use in the following the stochastic quantization (SQ) theory to calculate
the probability to find a large ensemble of brains radiating similar
gravitational waves. We also use this SQ theory to derive the equilibrium state
related to the known Lamb shift.
| gr-qc | it is known that the biological activity of the brain involves radiation of electric waves these waves result from ionic currents and charges traveling among the brains neurons but it is obvious that these ions and charges are carried by their relevant masses which should give rise according to the gravitational theory to extremely weak gravitational waves we use in the following the stochastic quantization sq theory to calculate the probability to find a large ensemble of brains radiating similar gravitational waves we also use this sq theory to derive the equilibrium state related to the known lamb shift | [['it', 'is', 'known', 'that', 'the', 'biological', 'activity', 'of', 'the', 'brain', 'involves', 'radiation', 'of', 'electric', 'waves', 'these', 'waves', 'result', 'from', 'ionic', 'currents', 'and', 'charges', 'traveling', 'among', 'the', 'brains', 'neurons', 'but', 'it', 'is', 'obvious', 'that', 'these', 'ions', 'and', 'charges', 'are', 'carried', 'by', 'their', 'relevant', 'masses', 'which', 'should', 'give', 'rise', 'according', 'to', 'the', 'gravitational', 'theory', 'to', 'extremely', 'weak', 'gravitational', 'waves', 'we', 'use', 'in', 'the', 'following', 'the', 'stochastic', 'quantization', 'sq', 'theory', 'to', 'calculate', 'the', 'probability', 'to', 'find', 'a', 'large', 'ensemble', 'of', 'brains', 'radiating', 'similar', 'gravitational', 'waves', 'we', 'also', 'use', 'this', 'sq', 'theory', 'to', 'derive', 'the', 'equilibrium', 'state', 'related', 'to', 'the', 'known', 'lamb', 'shift']] | [-0.11734076766438331, 0.1891087724008795, -0.05403257221585572, 0.12974272575229406, -0.09215071914962145, -0.07931863476588118, 0.036575643575016525, 0.3332215810401572, -0.25194960321544324, -0.28246103810391043, 0.01795616451853115, -0.2824444299695468, -0.20487868712481225, 0.1620991949645821, -0.009135700150797463, 0.0015877576337920295, 0.0014121337850211244, 0.07060915327659159, 0.004744574789785677, -0.1777840308901487, 0.2891564425222124, 0.08342869354016853, 0.25626249026243736, 0.022920241438303932, 0.10845543963439537, -0.01902794454133872, -0.018019714383314355, 0.028338416797538745, -0.12859064630174544, 0.1219325207004493, 0.2689959641470753, 0.11717661683838061, 0.21765156668808425, -0.4979602261775672, -0.23641957463508453, 0.07686792597682639, 0.104641853139978, 0.20147658354306425, -0.03572405782537629, -0.29444762375770195, 0.05040292717478793, -0.1411049666842728, -0.14822967858712255, -0.0870638999410651, 0.06043213217829665, 0.0662275013288088, -0.2175833150518663, 0.10784391733562583, 0.043096566114179564, -0.03125393209094652, -0.10497298333652769, -0.07567342940830823, -0.028439216266357988, 0.12538271879005913, 0.10865704607538353, 0.06213485323494733, 0.18786295676472212, -0.13370034938461778, -0.07760119249084682, 0.3734360382788711, -0.03567597252138034, -0.1632264140532399, 0.21366960504515606, -0.18299839145626234, -0.09168621196853693, 0.17619898270890869, 0.14227883009512843, 0.10711447031923918, -0.1743182372678109, 0.018369006038869196, -0.009310050147839567, 0.15476524750843193, 0.12108095489310647, 0.04711022992815935, 0.27815859273283017, 0.05759457406126941, 0.044558356073920176, 0.12557171537738407, -0.08638734620233829, -0.08875938945666256, -0.2820813913236965, -0.10300742788710679, -0.1389346889812838, 0.10603096403682491, -0.05645113075451897, -0.17327942470596594, 0.37548202387235985, 0.19444884424276573, 0.11749268434189185, 0.05832395209775617, 0.2407697600622972, 0.131611772181438, 0.06388991958969696, 0.056431633189809746, 0.3138503639516656, 0.2004272859435378, 0.12161789324623767, -0.2484543597398589, -0.004086622662578869, 0.05654210014964896] |
708.1636 | HI and OH absorption in the lensing galaxy of MG J0414+0534 | We report the detection of \HI 21-cm absorption in the $z=0.96$ early-type
lensing galaxy towards MG J0414+0534 with the Green Bank Telescope. The
absorption, with total $N_{\rm HI}=1.6 \times 10^{18} (T_{\rm s}/f) {\rm
cm}^{-2}$, is resolved into two strong components, probably due to the two
strongest lens components, which are separated by 0.4\arcsec. Unlike the other
three lenses which have been detected in \HI, J0414+0534 does not exhibit
strong OH absorption, giving a OH/\HI column density ratio of $N_{\rm
OH}/N_{\rm HI}\lapp10^{-6}$ (for $T_{\rm s}=100$ K, $T_{\rm x}=10$ K and
$f_{\rm HI}=f_{\rm OH}=1$). This underabundance of molecular gas may indicate
that the extreme optical--near-IR colour ($V-K=10.26$) along the line-of-sight
is not due to the lens. We therefore suggest that despite the strong upper
limits on molecular absorption at the quasar redshift, as traced by millimetre
lines, the extinction occurs primarily in the quasar host galaxy.
| astro-ph | we report the detection of hi 21cm absorption in the z096 earlytype lensing galaxy towards mg j04140534 with the green bank telescope the absorption with total n_rm hi16 times 1018 t_rm sf rm cm2 is resolved into two strong components probably due to the two strongest lens components which are separated by 04arcsec unlike the other three lenses which have been detected in hi j04140534 does not exhibit strong oh absorption giving a ohhi column density ratio of n_rm ohn_rm hilapp106 for t_rm s100 k t_rm x10 k and f_rm hif_rm oh1 this underabundance of molecular gas may indicate that the extreme opticalnearir colour vk1026 along the lineofsight is not due to the lens we therefore suggest that despite the strong upper limits on molecular absorption at the quasar redshift as traced by millimetre lines the extinction occurs primarily in the quasar host galaxy | [['we', 'report', 'the', 'detection', 'of', 'hi', '21cm', 'absorption', 'in', 'the', 'z096', 'earlytype', 'lensing', 'galaxy', 'towards', 'mg', 'j04140534', 'with', 'the', 'green', 'bank', 'telescope', 'the', 'absorption', 'with', 'total', 'n_rm', 'hi16', 'times', '1018', 't_rm', 'sf', 'rm', 'cm2', 'is', 'resolved', 'into', 'two', 'strong', 'components', 'probably', 'due', 'to', 'the', 'two', 'strongest', 'lens', 'components', 'which', 'are', 'separated', 'by', '04arcsec', 'unlike', 'the', 'other', 'three', 'lenses', 'which', 'have', 'been', 'detected', 'in', 'hi', 'j04140534', 'does', 'not', 'exhibit', 'strong', 'oh', 'absorption', 'giving', 'a', 'ohhi', 'column', 'density', 'ratio', 'of', 'n_rm', 'ohn_rm', 'hilapp106', 'for', 't_rm', 's100', 'k', 't_rm', 'x10', 'k', 'and', 'f_rm', 'hif_rm', 'oh1', 'this', 'underabundance', 'of', 'molecular', 'gas', 'may', 'indicate', 'that', 'the', 'extreme', 'opticalnearir', 'colour', 'vk1026', 'along', 'the', 'lineofsight', 'is', 'not', 'due', 'to', 'the', 'lens', 'we', 'therefore', 'suggest', 'that', 'despite', 'the', 'strong', 'upper', 'limits', 'on', 'molecular', 'absorption', 'at', 'the', 'quasar', 'redshift', 'as', 'traced', 'by', 'millimetre', 'lines', 'the', 'extinction', 'occurs', 'primarily', 'in', 'the', 'quasar', 'host', 'galaxy']] | [-0.10253647684863687, 0.09331374106577774, 0.015919341425667855, 0.022299023362828175, -0.05216490411692285, -0.10423158247199288, 0.023041868138218135, 0.47462203257136804, -0.10059161918183816, -0.32437483908311615, 0.03280991192761998, -0.3140580404981755, -0.004539160742896838, 0.14744188366466257, 0.03432991464231473, -0.08152770660387393, -0.046255628902303135, -0.14046138454147655, -0.03149864052165472, -0.24319183867107536, 0.2565652434849113, 0.06587268489723404, 0.1883216129710385, 0.05535480766084747, 0.061198995023479925, -0.10662286075007549, -0.09314837808842244, 0.01876912554523543, -0.11951670157809596, 0.030762135749682784, 0.2827959494003891, 0.11172910668445157, 0.19390368139020342, -0.30528887194932264, -0.20669884709776312, 0.07856395073822173, 0.19674834807443878, 0.03451561567582784, -0.01797167641411036, -0.3025626758977339, 0.04683213710803471, -0.13506915470866987, -0.14882865786363464, 0.11613796693542837, 0.053412960919861995, 0.04890343582972992, -0.17835736429264795, 0.1559912670147268, 0.01829444944936161, 0.09372768872835087, -0.06458321185208911, -0.12280610013766673, -0.10078616797050083, -0.0057639888794822755, -0.0171739939040086, 0.08482680156273578, 0.21651454291481903, -0.1347531382504014, 0.03774944198844225, 0.42982875026654505, -0.1514625757176807, 0.0725150427247897, 0.2160048110957217, -0.2092869631419687, -0.2347040069863146, 0.23090896533424224, 0.11771274775104679, 0.0633414804942204, -0.09685025907252777, 0.0319323102851648, -0.030591867519103907, 0.2822228642652972, 0.05352523767024926, 0.09634516835807438, 0.3213459272072583, 0.003934966825434695, 0.09820784799544988, 0.04997839799835819, -0.2636047067252271, 0.03909703472669682, -0.202214849075181, -0.12051337057061534, -0.13962333563603865, 0.13833802920345223, -0.13260986167333086, -0.10138637985210812, 0.2954015529518812, 0.11324754785290798, 0.2812892060500799, 0.04485321874170146, 0.33092403772246576, 0.13676284179277043, 0.11806714125449999, 0.08918097605118933, 0.3386232318235156, 0.18034464744783507, 0.05333524659711301, -0.2593534440426426, 0.09788708880786663, 0.004196819638414983] |
708.1637 | Self-organization of heterogeneous topology and symmetry breaking in
networks with adaptive thresholds and rewiring | We study an evolutionary algorithm that locally adapts thresholds and wiring
in Random Threshold Networks, based on measurements of a dynamical order
parameter. A control parameter $p$ determines the probability of threshold
adaptations vs. link rewiring. For any $p < 1$, we find spontaneous symmetry
breaking into a new class of self-organized networks, characterized by a much
higher average connectivity $\bar{K}_{evo}$ than networks without threshold
adaptation ($p =1$). While $\bar{K}_{evo}$ and evolved out-degree distributions
are independent from $p$ for $p <1$, in-degree distributions become broader
when $p \to 1$, approaching a power-law. In this limit, time scale separation
between threshold adaptions and rewiring also leads to strong correlations
between thresholds and in-degree. Finally, evidence is presented that networks
converge to self-organized criticality for large $N$.
| cond-mat.dis-nn cond-mat.stat-mech nlin.AO q-bio.MN | we study an evolutionary algorithm that locally adapts thresholds and wiring in random threshold networks based on measurements of a dynamical order parameter a control parameter p determines the probability of threshold adaptations vs link rewiring for any p 1 we find spontaneous symmetry breaking into a new class of selforganized networks characterized by a much higher average connectivity bark_evo than networks without threshold adaptation p 1 while bark_evo and evolved outdegree distributions are independent from p for p 1 indegree distributions become broader when p to 1 approaching a powerlaw in this limit time scale separation between threshold adaptions and rewiring also leads to strong correlations between thresholds and indegree finally evidence is presented that networks converge to selforganized criticality for large n | [['we', 'study', 'an', 'evolutionary', 'algorithm', 'that', 'locally', 'adapts', 'thresholds', 'and', 'wiring', 'in', 'random', 'threshold', 'networks', 'based', 'on', 'measurements', 'of', 'a', 'dynamical', 'order', 'parameter', 'a', 'control', 'parameter', 'p', 'determines', 'the', 'probability', 'of', 'threshold', 'adaptations', 'vs', 'link', 'rewiring', 'for', 'any', 'p', '1', 'we', 'find', 'spontaneous', 'symmetry', 'breaking', 'into', 'a', 'new', 'class', 'of', 'selforganized', 'networks', 'characterized', 'by', 'a', 'much', 'higher', 'average', 'connectivity', 'bark_evo', 'than', 'networks', 'without', 'threshold', 'adaptation', 'p', '1', 'while', 'bark_evo', 'and', 'evolved', 'outdegree', 'distributions', 'are', 'independent', 'from', 'p', 'for', 'p', '1', 'indegree', 'distributions', 'become', 'broader', 'when', 'p', 'to', '1', 'approaching', 'a', 'powerlaw', 'in', 'this', 'limit', 'time', 'scale', 'separation', 'between', 'threshold', 'adaptions', 'and', 'rewiring', 'also', 'leads', 'to', 'strong', 'correlations', 'between', 'thresholds', 'and', 'indegree', 'finally', 'evidence', 'is', 'presented', 'that', 'networks', 'converge', 'to', 'selforganized', 'criticality', 'for', 'large', 'n']] | [-0.15718521670911645, 0.1756866718385966, -0.08027377678844773, 0.09987065455586207, -0.014606679566433562, -0.23192216298203214, 0.1205676059278213, 0.38257527421610277, -0.23825430150189605, -0.3127065096890218, 0.017906515719750743, -0.2519687707726767, -0.1858092223343699, 0.09546248169356315, -0.00884751672665665, 0.05792965355794877, 0.005151384025354122, 0.04750593837930775, -0.021764700892610383, -0.1818690519611977, 0.3242766995280676, 0.05147910615826239, 0.3102422775471675, 0.030571233210169146, 0.043333294699192774, -0.015549625376941727, 0.033233532682061195, 0.04707266113980383, -0.1755487810421714, 0.03485513381568379, 0.222323346701756, 0.12003530022447507, 0.30789679695619987, -0.36806973681945476, -0.2186035922133043, 0.1971399103611952, 0.1680461957203377, 0.07362513604276187, -0.002017363834339881, -0.2511117172343504, 0.1764036615333352, -0.15649764857361795, -0.10544357314843257, -0.054630614307586894, 0.11483786881473831, 0.05651418618680375, -0.3453779112715579, 0.06726967548110835, 0.1019372225948514, 0.0928838533868433, -0.0026808560760997113, -0.13866790303708526, -0.031448059093176585, 0.09833426935312942, -0.002411492613571711, 0.048720883837229285, 0.13571059198565322, -0.16803036516219316, -0.15424072964605492, 0.29100158867105597, 0.006499713735123447, -0.15232183641494543, 0.17514231161512128, -0.13430824129628477, -0.17129540265553067, 0.1715061881457318, 0.20038038885343026, 0.07237792379589232, -0.07583858300876883, 0.02131959950726968, 0.04271855502251963, 0.2023960169114661, 0.07242487756092651, 0.0030813047005871282, 0.1156770533569096, 0.19611131290134165, 0.14739037311987066, 0.10576689273470127, -0.07768017728240459, -0.13252136393709749, -0.27355623735328677, -0.06559951999224722, -0.19677895113833432, 0.08616021457967944, -0.17333890969786778, -0.10603106760569718, 0.36772549045119496, 0.1267732490373195, 0.27808254605662996, 0.17781489088245836, 0.19308394239833732, 0.10531685121078807, 0.04020808215756885, 0.11377962789468211, 0.1578019049102593, 0.11205928997789341, 0.05569142703020365, -0.17658319387424615, 0.12321874468785818, 0.03153509419548829] |
708.1638 | Electrically controlled Bragg resonances of an ambichiral electro-optic
structure: oblique incidence | The Pockels effect can increase the effective birefringence of ambichiral,
electro--optic rejection filters made of materials with a $\bar{4}2m$ point
group symmetry, when a dc electric field is applied parallel to the axis of
nonhomogeneity. The reflectances and the transmittances of such an ambichiral
structure for obliquely incident plane waves is solvable through a
boundary-value problem that is formulated using the frequency-domain Maxwell
equations, the constitutive equations that contain the Pockels effect, and
standard algebraic techniques for handling 4x4 matrix ordinary differential
equations. The Bragg resonance peaks, for different
circular-polarized-incidence conditions, blueshift as the angle of incidence
increases. These blueshifts are unaffected by the sign of the dc electric
field.
| physics.optics | the pockels effect can increase the effective birefringence of ambichiral electrooptic rejection filters made of materials with a bar42m point group symmetry when a dc electric field is applied parallel to the axis of nonhomogeneity the reflectances and the transmittances of such an ambichiral structure for obliquely incident plane waves is solvable through a boundaryvalue problem that is formulated using the frequencydomain maxwell equations the constitutive equations that contain the pockels effect and standard algebraic techniques for handling 4x4 matrix ordinary differential equations the bragg resonance peaks for different circularpolarizedincidence conditions blueshift as the angle of incidence increases these blueshifts are unaffected by the sign of the dc electric field | [['the', 'pockels', 'effect', 'can', 'increase', 'the', 'effective', 'birefringence', 'of', 'ambichiral', 'electrooptic', 'rejection', 'filters', 'made', 'of', 'materials', 'with', 'a', 'bar42m', 'point', 'group', 'symmetry', 'when', 'a', 'dc', 'electric', 'field', 'is', 'applied', 'parallel', 'to', 'the', 'axis', 'of', 'nonhomogeneity', 'the', 'reflectances', 'and', 'the', 'transmittances', 'of', 'such', 'an', 'ambichiral', 'structure', 'for', 'obliquely', 'incident', 'plane', 'waves', 'is', 'solvable', 'through', 'a', 'boundaryvalue', 'problem', 'that', 'is', 'formulated', 'using', 'the', 'frequencydomain', 'maxwell', 'equations', 'the', 'constitutive', 'equations', 'that', 'contain', 'the', 'pockels', 'effect', 'and', 'standard', 'algebraic', 'techniques', 'for', 'handling', '4x4', 'matrix', 'ordinary', 'differential', 'equations', 'the', 'bragg', 'resonance', 'peaks', 'for', 'different', 'circularpolarizedincidence', 'conditions', 'blueshift', 'as', 'the', 'angle', 'of', 'incidence', 'increases', 'these', 'blueshifts', 'are', 'unaffected', 'by', 'the', 'sign', 'of', 'the', 'dc', 'electric', 'field']] | [-0.19255336315089136, 0.1543299080303351, -0.04949569925153201, -0.01604373072201403, -0.1499284056651859, -0.12142133278507364, -0.03712231080088371, 0.39285145809344196, -0.2871370504037776, -0.29572065360844135, 0.08288979690111832, -0.28562025681411457, -0.15489905133604184, 0.20084126182584042, 0.011638498068317224, 0.06451510457287825, -0.010786031084476944, -0.03705948249035335, -0.07239448017261307, -0.169113703069935, 0.27698073352456365, 0.011236863518390088, 0.32481433387948283, 0.001629502657766736, 0.14325638295796383, 0.060424895158225515, 0.04551006774546219, 0.08003611168012432, -0.05584811691235892, 0.023686048823596755, 0.25182191222914657, -0.010523747874919427, 0.17858285702756443, -0.4296264946631609, -0.19145534844607662, 0.017515133070938903, 0.10809110363501065, 0.12357257309566261, -0.07788960206207024, -0.2702151936384926, 0.021337487367451738, -0.08309928966694674, -0.1831272064383492, 0.004846602735972596, 0.01509232215429528, 0.034936314756307034, -0.2983099109810401, 0.08032146195209278, 0.052286350612588434, 0.10799345578591808, -0.06248224628747467, -0.13352306099894773, -0.043076163025384924, 0.024250653900532906, 0.049949234428413966, -0.0113821239167944, 0.17339261803015588, -0.1200110326251955, -0.08920064933358803, 0.3818212182970222, -0.08987253116990584, -0.21588069419702302, 0.059558542052266794, -0.13538882781008105, 0.0035989914853617106, 0.21370815607044127, 0.15680436954199156, 0.12431958128715259, -0.11883516209704668, 0.07853172857788554, -0.022057287788035673, 0.15740288652553341, 0.13851208347024038, -0.02664181421331446, 0.21418007204326195, 0.1037710070281093, 0.048601125580591896, 0.14322439528181466, -0.09929674749749653, -0.025415813789591877, -0.27221054093348324, -0.12313350702319807, -0.11542223638789771, 0.05768275985477168, -0.12696004962231408, -0.2010909662957927, 0.3862083336304224, 0.12623327409147944, 0.10902813838265084, -0.029898745950883886, 0.314870144129483, 0.19954706237912007, 0.10243606585325725, 0.0010050620259973433, 0.29118738986163, 0.24766610931271876, 0.13068299872134256, -0.28963734339730424, 0.04023787112684425, 0.03185983572514096] |
708.1639 | Many-body generalization of the Z2 topological invariant for the quantum
spin Hall effect | We propose a many-body generalization of the Z2 topological invariant for the
quantum spin Hall insulator, which does not rely on single-particle band
structures. The invariant is derived as a topological obstruction that
distinguishes topologically distinct many-body ground states on a torus. It is
also expressed as a Wilson-loop of the SU(2) Berry gauge field, which is
quantized due to the time-reversal symmetry.
| cond-mat.mes-hall | we propose a manybody generalization of the z2 topological invariant for the quantum spin hall insulator which does not rely on singleparticle band structures the invariant is derived as a topological obstruction that distinguishes topologically distinct manybody ground states on a torus it is also expressed as a wilsonloop of the su2 berry gauge field which is quantized due to the timereversal symmetry | [['we', 'propose', 'a', 'manybody', 'generalization', 'of', 'the', 'z2', 'topological', 'invariant', 'for', 'the', 'quantum', 'spin', 'hall', 'insulator', 'which', 'does', 'not', 'rely', 'on', 'singleparticle', 'band', 'structures', 'the', 'invariant', 'is', 'derived', 'as', 'a', 'topological', 'obstruction', 'that', 'distinguishes', 'topologically', 'distinct', 'manybody', 'ground', 'states', 'on', 'a', 'torus', 'it', 'is', 'also', 'expressed', 'as', 'a', 'wilsonloop', 'of', 'the', 'su2', 'berry', 'gauge', 'field', 'which', 'is', 'quantized', 'due', 'to', 'the', 'timereversal', 'symmetry']] | [-0.2440054596416534, 0.2522062183402124, -0.13297282806819394, 0.1121588822080946, -0.1043747966251676, -0.17612646478745672, 0.010181002536906845, 0.31331282995256876, -0.21414934627209153, -0.22630577802007634, 0.028111074762862353, -0.24826012747657913, -0.2285729885870029, 0.12174852272229535, -0.03888281163138648, 0.07250330478899063, -0.04733183700221753, 0.019280992743987885, -0.16837711291875512, -0.18182149021664545, 0.3680635652992697, -0.08061880302718943, 0.30604701583820676, 0.08675195439349091, 0.10270843813787141, 0.008529586115083287, 0.10551181474020557, 0.016289797297398014, -0.12149517656923438, 0.05301066994619009, 0.25523813827968544, -0.07941245921843108, 0.11618689421032156, -0.38326563881266684, -0.19389589558843345, 0.03570971075105407, 0.12148180723722492, 0.18222634796984494, -0.027608776660931724, -0.39554972973253044, 0.07295374161312504, -0.19259619091947874, -0.08182519369219089, -0.1611171749287418, -0.004979096136854163, -0.14901860783408796, -0.18355175818035763, 0.06696189001954664, 0.08727227982192759, 0.08502275424400559, -0.01879217735092555, -0.02859473020015728, -0.13846037745298373, 0.08155765477567911, 0.03873866025195827, 0.09460970797088175, 0.14917655999676163, -0.16602268841649806, -0.20427550489289892, 0.46028002271694796, -0.04097801650918666, -0.22544711888841693, 0.18341789307767556, -0.11209039503915443, -0.1437425850594919, 0.15085632290454612, 0.05363537507161262, 0.09219235328898306, -0.04406080990364509, 0.1697609426217183, -0.1317509894983636, 0.1585987310206133, -0.03195001276594306, 0.13709967062320738, 0.28038596811645206, 0.034855638686124055, 0.16277198884488334, 0.13253782494437127, -0.07175637763141403, -0.12739226893181838, -0.3295418673032333, -0.20849924690888397, -0.3454931796424919, 0.18962258306384597, 0.014669388939168245, -0.2591053708382542, 0.47394350738752455, 0.08443683239498309, 0.18042656860595185, 0.014595888990683422, 0.22809660824991407, 0.17992205782941292, 0.09052178604410045, 0.029333365458389004, 0.19678935327286284, 0.1855302837544254, 0.022163977691282827, -0.2829679402186432, -0.02759184308409218, 0.14805938341906147] |
708.164 | Suppression of electronic susceptibility in metal-Mott insulator
alternating material, (Me-3,5-DIP)[Ni(dmit)2]2 | Frequency shifts and nuclear relaxations of 13C NMR of the metal-insulator
alternating material, (Me-3,5-DIP)[Ni(dmit)2]2, are presented. The NMR
absorption lines originating from metallic and insulating layers are well
resolved, which evidences the coexistence of localized spins (\pi_loc) and
conduction \pi-electrons. The insulating layer is newly found to undergo
antiferromagnetic long range order at about 2.5 K, suggesting emergence of
S=1/2 Mott insulator. In the metallic layer, we found significant suppressions
of static and dynamical susceptibilities of conduction electrons below 35 K,
where antiferromagnetic correlation in the insulating layer evolves. We propose
a dynamical effect through strong \pi-\pi_loc coupling between the metallic and
insulating layers as an origin of the reduction of the density of states.
| cond-mat.str-el | frequency shifts and nuclear relaxations of 13c nmr of the metalinsulator alternating material me35dipnidmit22 are presented the nmr absorption lines originating from metallic and insulating layers are well resolved which evidences the coexistence of localized spins pi_loc and conduction pielectrons the insulating layer is newly found to undergo antiferromagnetic long range order at about 25 k suggesting emergence of s12 mott insulator in the metallic layer we found significant suppressions of static and dynamical susceptibilities of conduction electrons below 35 k where antiferromagnetic correlation in the insulating layer evolves we propose a dynamical effect through strong pipi_loc coupling between the metallic and insulating layers as an origin of the reduction of the density of states | [['frequency', 'shifts', 'and', 'nuclear', 'relaxations', 'of', '13c', 'nmr', 'of', 'the', 'metalinsulator', 'alternating', 'material', 'me35dipnidmit22', 'are', 'presented', 'the', 'nmr', 'absorption', 'lines', 'originating', 'from', 'metallic', 'and', 'insulating', 'layers', 'are', 'well', 'resolved', 'which', 'evidences', 'the', 'coexistence', 'of', 'localized', 'spins', 'pi_loc', 'and', 'conduction', 'pielectrons', 'the', 'insulating', 'layer', 'is', 'newly', 'found', 'to', 'undergo', 'antiferromagnetic', 'long', 'range', 'order', 'at', 'about', '25', 'k', 'suggesting', 'emergence', 'of', 's12', 'mott', 'insulator', 'in', 'the', 'metallic', 'layer', 'we', 'found', 'significant', 'suppressions', 'of', 'static', 'and', 'dynamical', 'susceptibilities', 'of', 'conduction', 'electrons', 'below', '35', 'k', 'where', 'antiferromagnetic', 'correlation', 'in', 'the', 'insulating', 'layer', 'evolves', 'we', 'propose', 'a', 'dynamical', 'effect', 'through', 'strong', 'pipi_loc', 'coupling', 'between', 'the', 'metallic', 'and', 'insulating', 'layers', 'as', 'an', 'origin', 'of', 'the', 'reduction', 'of', 'the', 'density', 'of', 'states']] | [-0.17710925752388512, 0.25401458169666774, 0.01749971679860859, 0.008298040680529084, 0.0019731727017122985, -0.170621505071592, 0.11538029952706504, 0.4052569431452347, -0.2858365946989839, -0.3018972610318867, 0.00547523632537507, -0.3827175585070758, -0.09631023003437024, 0.07444442760658733, 0.12822793424129486, -0.0253203260306561, -0.06749690569787552, -0.06602625911390143, -0.1639354587948349, -0.1512118857416291, 0.2757889702208039, -0.021418456894545152, 0.26654890343447085, 0.1467369311015188, 0.01960528495588473, -0.038519252137380784, 0.16994628790832525, -0.017056864360711188, -0.11495032388302207, 0.02352755812535179, 0.3070250554010272, -0.14807047180199465, 0.18388285294141887, -0.46445579548266586, -0.2067773435680595, -0.040623421797395816, 0.16258385466686118, 0.12307863320269721, -0.059770951540225985, -0.31164536541161525, 0.027016344952114326, -0.13937133339433266, -0.08486901877768105, -0.07532560896028631, -0.017076922181461538, -0.023981444482550223, -0.24804233330568032, 0.1784186259548213, 0.10887427089463537, 0.11862215620411527, -0.1425772287018065, -0.15890334745719364, -0.09953634778503329, 0.08427902244979382, 0.07437653219052923, 0.0390169612156959, 0.19575362791822823, -0.08019858244473912, -0.09350757724470375, 0.30982583022809457, -0.053519370135161025, 0.009725804856446172, 0.2121336490755701, -0.21320721063862688, -0.03435924807646578, 0.22975045273571076, 0.11035234359691717, 0.0861132644017094, -0.09653220383968021, 0.02838351583081281, -0.010219819408251039, 0.2318971328724209, 0.020165038205699863, 0.10307353766984306, 0.28315353411848526, 0.20900887992632175, 0.04262585596214714, 0.1819590939500943, -0.16342380865743117, -0.07251723702315108, -0.19978204652267909, -0.1522236002027577, -0.22187741541711148, 0.05795759242859536, -0.08892259897649117, -0.20694862853270024, 0.3956176301539277, 0.11944045035800498, 0.18567463053373753, -0.1066859895269902, 0.2120765295445121, 0.08607208594392952, 0.0667084772202153, 0.06628828342322127, 0.2775525883438864, 0.23772315732951807, 0.1323921938019339, -0.2999091071646295, 0.09419105287192256, 0.001142474787359658] |
708.1641 | Approximating the monomer-dimer constants through matrix permanent | The monomer-dimer model is fundamental in statistical mechanics. However, it
is $#P$-complete in computation, even for two dimensional problems. A
formulation in matrix permanent for the partition function of the monomer-dimer
model is proposed in this paper, by transforming the number of all matchings of
a bipartite graph into the number of perfect matchings of an extended bipartite
graph, which can be given by a matrix permanent. Sequential importance sampling
algorithm is applied to compute the permanents. For two-dimensional lattice
with periodic condition, we obtain $ 0.6627\pm0.0002$, where the exact value is
$h_2=0.662798972834$. For three-dimensional lattice with periodic condition,
our numerical result is $ 0.7847\pm0.0014$, {which agrees with the best known
bound $0.7653 \leq h_3 \leq 0.7862$.}
| cond-mat.stat-mech | the monomerdimer model is fundamental in statistical mechanics however it is pcomplete in computation even for two dimensional problems a formulation in matrix permanent for the partition function of the monomerdimer model is proposed in this paper by transforming the number of all matchings of a bipartite graph into the number of perfect matchings of an extended bipartite graph which can be given by a matrix permanent sequential importance sampling algorithm is applied to compute the permanents for twodimensional lattice with periodic condition we obtain 06627pm00002 where the exact value is h_20662798972834 for threedimensional lattice with periodic condition our numerical result is 07847pm00014 which agrees with the best known bound 07653 leq h_3 leq 07862 | [['the', 'monomerdimer', 'model', 'is', 'fundamental', 'in', 'statistical', 'mechanics', 'however', 'it', 'is', 'pcomplete', 'in', 'computation', 'even', 'for', 'two', 'dimensional', 'problems', 'a', 'formulation', 'in', 'matrix', 'permanent', 'for', 'the', 'partition', 'function', 'of', 'the', 'monomerdimer', 'model', 'is', 'proposed', 'in', 'this', 'paper', 'by', 'transforming', 'the', 'number', 'of', 'all', 'matchings', 'of', 'a', 'bipartite', 'graph', 'into', 'the', 'number', 'of', 'perfect', 'matchings', 'of', 'an', 'extended', 'bipartite', 'graph', 'which', 'can', 'be', 'given', 'by', 'a', 'matrix', 'permanent', 'sequential', 'importance', 'sampling', 'algorithm', 'is', 'applied', 'to', 'compute', 'the', 'permanents', 'for', 'twodimensional', 'lattice', 'with', 'periodic', 'condition', 'we', 'obtain', '06627pm00002', 'where', 'the', 'exact', 'value', 'is', 'h_20662798972834', 'for', 'threedimensional', 'lattice', 'with', 'periodic', 'condition', 'our', 'numerical', 'result', 'is', '07847pm00014', 'which', 'agrees', 'with', 'the', 'best', 'known', 'bound', '07653', 'leq', 'h_3', 'leq', '07862']] | [-0.12115281442688271, 0.12350934640496482, -0.027300689979033038, 0.031960718961305576, -0.050115073142065245, -0.15041295811957256, 0.01771685856669633, 0.3530157243494283, -0.25643968898802993, -0.31344326320739296, 0.10843435190618038, -0.23511155257848176, -0.17690122511280193, 0.15949033042839306, -0.0430182861288565, 0.08999494254081086, 0.08205958772874014, 0.07540132771669464, -0.03588894385294142, -0.27365360761071894, 0.2688673753672364, 0.0030226539735766973, 0.253725080429153, 0.061304089659824965, 0.056010103890333666, 0.07311208843761548, 0.041733640576289456, 0.05486893594603647, -0.15115737666121937, 0.11671623019924895, 0.24529474980451843, 0.12641604483466257, 0.22284377227875996, -0.3938219805332747, -0.1779604415112937, 0.17946415786229244, 0.12542444171214645, 0.12932754282373934, -0.017819541980597105, -0.2119130263613029, 0.11097885950637812, -0.14297290884424002, -0.1256402311846614, -0.04537999038161202, 0.03945987833113494, -0.012259102287829261, -0.35481445237316867, 0.07434247414666144, 0.07437497064132582, 0.032141917469826614, -0.021046274836937134, -0.14944179591892118, 0.011837600681676783, 0.08890113168057392, -0.02767187143379653, 0.05080769796940413, 0.004840050260959701, -0.13696393193551393, -0.15013931627300653, 0.4243621171452105, -0.007856617740948093, -0.23464249776972626, 0.10194526152388955, -0.10587595497173342, -0.1598685782402754, 0.12981376311826434, 0.10880542387339202, 0.12549063081599093, -0.11968855488706719, 0.14550933003086935, -0.15682366795160554, 0.15267671671780672, 0.053942690857432106, -0.026358331231908366, 0.1555252900516445, 0.15794473221440883, 0.12662262996574017, 0.21138491454767064, -3.604110415008935e-05, -0.13450997953557156, -0.26346549534831537, -0.16028114393067716, -0.3030769299895672, 0.05636973438615149, -0.15858358944004233, -0.2149208091199398, 0.38656827638095076, 0.11289656182740476, 0.16530840032818642, 0.09493405670985919, 0.2569421173962341, 0.1422573484829627, -0.0006381000307473269, 0.0896637308051471, 0.15765839168717238, 0.18846525906542824, -0.018889087353917686, -0.18909563718956302, 0.04282114828344096, 0.17010497153228657] |
708.1642 | Total Reflection and Negative Refraction of Dipole-Exchange Spin Waves
at Magnetic Interfaces: Micromagnetic Modeling Study | We demonstrated that dipole-exchange spin waves traveling in geometrically
restricted magnetic thin films satisfy the same laws of reflection and
refraction as light waves. Moreover, we found for the first time novel wave
behaviors of dipole-exchange spin waves such as total reflection and negative
refraction. The total reflection in laterally inhomogeneous thin films composed
of two different magnetic materials is associated with the forbidden modes of
refracted dipole-exchange spin waves. The negative refraction occurs at a 90
degree domain-wall magnetic interface that is introduced by a cubic magnetic
anisotropy in the media, through the anisotropic dispersion of dipole-exchange
spin waves.
| cond-mat.other | we demonstrated that dipoleexchange spin waves traveling in geometrically restricted magnetic thin films satisfy the same laws of reflection and refraction as light waves moreover we found for the first time novel wave behaviors of dipoleexchange spin waves such as total reflection and negative refraction the total reflection in laterally inhomogeneous thin films composed of two different magnetic materials is associated with the forbidden modes of refracted dipoleexchange spin waves the negative refraction occurs at a 90 degree domainwall magnetic interface that is introduced by a cubic magnetic anisotropy in the media through the anisotropic dispersion of dipoleexchange spin waves | [['we', 'demonstrated', 'that', 'dipoleexchange', 'spin', 'waves', 'traveling', 'in', 'geometrically', 'restricted', 'magnetic', 'thin', 'films', 'satisfy', 'the', 'same', 'laws', 'of', 'reflection', 'and', 'refraction', 'as', 'light', 'waves', 'moreover', 'we', 'found', 'for', 'the', 'first', 'time', 'novel', 'wave', 'behaviors', 'of', 'dipoleexchange', 'spin', 'waves', 'such', 'as', 'total', 'reflection', 'and', 'negative', 'refraction', 'the', 'total', 'reflection', 'in', 'laterally', 'inhomogeneous', 'thin', 'films', 'composed', 'of', 'two', 'different', 'magnetic', 'materials', 'is', 'associated', 'with', 'the', 'forbidden', 'modes', 'of', 'refracted', 'dipoleexchange', 'spin', 'waves', 'the', 'negative', 'refraction', 'occurs', 'at', 'a', '90', 'degree', 'domainwall', 'magnetic', 'interface', 'that', 'is', 'introduced', 'by', 'a', 'cubic', 'magnetic', 'anisotropy', 'in', 'the', 'media', 'through', 'the', 'anisotropic', 'dispersion', 'of', 'dipoleexchange', 'spin', 'waves']] | [-0.24119387936312706, 0.3132339636981487, -0.0011175421113148332, 0.007784532059449702, -0.13956172421574592, -0.09992626843042672, -0.03033978872001171, 0.4202942081168294, -0.27425396274775266, -0.2766365598794073, 0.021381503661395983, -0.2979664720594883, -0.1398895194195211, 0.1985506362770684, 0.10415177796501666, 0.04183975436259061, -0.08263159965863451, -0.08230891481041908, -0.01855700388085097, -0.09289826940745115, 0.3163875559996814, -0.012245147312059999, 0.3108278878964484, 0.06682390946429223, 0.11408751006703824, 0.040573094612918796, 0.07939584306906909, 0.050193575788289306, -0.13780256521786213, 0.007781550451181829, 0.22060327216982842, -0.0975094072241336, 0.1394731262465939, -0.4886922910064459, -0.26909800683148205, -0.014557899367064238, 0.13974810778570826, 0.12991568204015494, -0.10903697555884719, -0.2835773114534095, -0.004734323957236484, -0.0924281048764533, -0.2121366770612076, 0.019734823210164905, 0.01969992043217644, 0.02161622735671699, -0.21750588300288654, 0.12188467722386122, 0.10219406854361296, 0.047217318839393556, -0.08159360267221928, -0.07019822637084872, -0.15922730716411024, 0.00637172338552773, 0.09147782562766224, -0.03209493223112077, 0.09613470890559256, -0.1046757179335691, -0.13266942519694566, 0.3726367267780006, -0.09465075929183513, -0.15193552719429135, 0.13553501239046453, -0.22085814868332818, -0.0014284370932728051, 0.23640169099671765, 0.2090200654231012, 0.13547570860479027, -0.08830298831686377, 0.0067447695834562185, -0.04848683015428833, 0.1618719259579666, 0.18893961760681122, 0.029278642595745624, 0.28408679529384245, 0.11881179173593409, 0.031060335244983434, 0.14483987066894768, -0.11368359180225525, 0.04490795043297112, -0.2262625898933038, -0.18336859466508032, -0.1933398795523681, 0.06333717560672085, -0.1174449053380522, -0.2111704762186855, 0.4169351052958518, 0.10012689257971942, 0.09489906429313123, -0.040432184153833074, 0.26506703585619107, 0.1568345784279518, 0.02321805939078331, 0.07189575141295791, 0.29108543432317674, 0.23456223836401477, 0.14989963716856436, -0.24912050256272777, 0.05570968296844512, -0.028312433154787868] |
708.1643 | Local Lorentz Transformation and "Lorentz Violation" | Some solutions to the anomalies of ultra high energy cosmic-ray(UHECR) and
TeV $\gamma$-rays require disturbed non-quadratic dispersion relations, which
suggest the Lorentz violation. Also, some new theories such as quantum gravity,
string theory and the standard model extension imply the Lorentz violation. In
this paper, we derive some transformation laws for the classical parameters of
nonlinear field system, and then provide their dispersion relations. These
dispersion relations also have non-quadratic form but keep the Lorentz
invariance. The analysis of this paper may be helpful for understanding the
quantum theory and the plausible Lorentz violation.
| physics.gen-ph | some solutions to the anomalies of ultra high energy cosmicrayuhecr and tev gammarays require disturbed nonquadratic dispersion relations which suggest the lorentz violation also some new theories such as quantum gravity string theory and the standard model extension imply the lorentz violation in this paper we derive some transformation laws for the classical parameters of nonlinear field system and then provide their dispersion relations these dispersion relations also have nonquadratic form but keep the lorentz invariance the analysis of this paper may be helpful for understanding the quantum theory and the plausible lorentz violation | [['some', 'solutions', 'to', 'the', 'anomalies', 'of', 'ultra', 'high', 'energy', 'cosmicrayuhecr', 'and', 'tev', 'gammarays', 'require', 'disturbed', 'nonquadratic', 'dispersion', 'relations', 'which', 'suggest', 'the', 'lorentz', 'violation', 'also', 'some', 'new', 'theories', 'such', 'as', 'quantum', 'gravity', 'string', 'theory', 'and', 'the', 'standard', 'model', 'extension', 'imply', 'the', 'lorentz', 'violation', 'in', 'this', 'paper', 'we', 'derive', 'some', 'transformation', 'laws', 'for', 'the', 'classical', 'parameters', 'of', 'nonlinear', 'field', 'system', 'and', 'then', 'provide', 'their', 'dispersion', 'relations', 'these', 'dispersion', 'relations', 'also', 'have', 'nonquadratic', 'form', 'but', 'keep', 'the', 'lorentz', 'invariance', 'the', 'analysis', 'of', 'this', 'paper', 'may', 'be', 'helpful', 'for', 'understanding', 'the', 'quantum', 'theory', 'and', 'the', 'plausible', 'lorentz', 'violation']] | [-0.12156686144480382, 0.1681905892947989, -0.11572719146547619, 0.16605180615098566, -0.14518131491958455, -0.16059254936032719, 0.025216138666315425, 0.28043616927599396, -0.2768983976710187, -0.33961459764990437, 0.055241134553466756, -0.2437817660180391, -0.18227725602205722, 0.18916472536261364, -0.011769264418211195, 0.07764033756409121, -0.020208108992446013, 0.01033619109832842, -0.10973553042558412, -0.20570556687251215, 0.30729193994725346, 0.06322113187953589, 0.28013673602973904, 0.05470210765062841, 0.07741667788916377, -0.032322955758421014, -0.02243899115892027, 0.03917635573695103, -0.11946669520850303, 0.12037721078001684, 0.17878327046531023, 0.11119236760667615, 0.18031958915213103, -0.4547651693204878, -0.24248470211782122, 0.10918012618397673, 0.11574747810085174, 0.11138433907356274, -0.09002628626041514, -0.30128233241398006, 0.01465036720225227, -0.1915098759746279, -0.19429435627034275, -0.12878561696858817, -0.00032930302819217085, -0.00891847724235186, -0.2059965094461316, 0.13387486754655456, 0.06763372319420019, 0.0648321265014269, -0.07098385482595893, -0.03737794897664258, 0.054559128218761056, 0.06293530708118793, 0.12161158232934653, 0.0028032142724040694, 0.11227029206491607, -0.1698094091818778, -0.08233663739676597, 0.4621097213959181, -0.007245987521043868, -0.20695685699421873, 0.18440005854673444, -0.161735694014257, -0.21833433626439944, 0.05028480262826047, 0.16855934912699364, 0.040348960266959284, -0.19289913326902416, 0.13250649024191644, -0.05080690996731401, 0.13043174650319803, 0.07797563695899581, 0.1591062986201817, 0.21715927467511226, 0.03280922466067858, 0.04335615692049345, 0.05774139753487762, -0.030115592694010145, -0.04605849900393076, -0.44602228969495783, -0.17824564488624695, -0.07277091975093529, 0.07923175945692766, -0.1321566410466618, -0.10396231237238132, 0.3348114758965269, 0.14668390608295018, 0.13711477154164867, 0.09002206880243756, 0.22513727878811218, 0.18866389628214342, 0.0827866375511412, 0.0783281388882828, 0.32994550983239995, 0.16441430596093978, 0.09133862431401447, -0.24892958254122766, -0.0037513675108071295, 0.07392881202301191] |
708.1644 | Ricci curvature and geodesic flows stability in Riemannian twisted flux
tubes | Ricci and sectional curvatures of twisted flux tubes in Riemannian manifold
are computed to investigate the stability of the tubes. The geodesic equations
are used to show that in the case of thick tubes, the curvature of planar
(Frenet torsion-free) tubes have the effect ct of damping the flow speed along
the tube. Stability of geodesic flows in the Riemannian twisted thin tubes
(almost filaments), against constant radial perturbations is investigated by
using the method of negative sectional curvature for unstable flows. No special
form of the flow like Beltrami flows is admitted, and the proof is general for
the case of thin tubes. It is found that for positive perturbations and angular
speed of the flow, instability is achieved, since the sectional Ricci curvature
of the twisted tube metric is negative.
| physics.flu-dyn | ricci and sectional curvatures of twisted flux tubes in riemannian manifold are computed to investigate the stability of the tubes the geodesic equations are used to show that in the case of thick tubes the curvature of planar frenet torsionfree tubes have the effect ct of damping the flow speed along the tube stability of geodesic flows in the riemannian twisted thin tubes almost filaments against constant radial perturbations is investigated by using the method of negative sectional curvature for unstable flows no special form of the flow like beltrami flows is admitted and the proof is general for the case of thin tubes it is found that for positive perturbations and angular speed of the flow instability is achieved since the sectional ricci curvature of the twisted tube metric is negative | [['ricci', 'and', 'sectional', 'curvatures', 'of', 'twisted', 'flux', 'tubes', 'in', 'riemannian', 'manifold', 'are', 'computed', 'to', 'investigate', 'the', 'stability', 'of', 'the', 'tubes', 'the', 'geodesic', 'equations', 'are', 'used', 'to', 'show', 'that', 'in', 'the', 'case', 'of', 'thick', 'tubes', 'the', 'curvature', 'of', 'planar', 'frenet', 'torsionfree', 'tubes', 'have', 'the', 'effect', 'ct', 'of', 'damping', 'the', 'flow', 'speed', 'along', 'the', 'tube', 'stability', 'of', 'geodesic', 'flows', 'in', 'the', 'riemannian', 'twisted', 'thin', 'tubes', 'almost', 'filaments', 'against', 'constant', 'radial', 'perturbations', 'is', 'investigated', 'by', 'using', 'the', 'method', 'of', 'negative', 'sectional', 'curvature', 'for', 'unstable', 'flows', 'no', 'special', 'form', 'of', 'the', 'flow', 'like', 'beltrami', 'flows', 'is', 'admitted', 'and', 'the', 'proof', 'is', 'general', 'for', 'the', 'case', 'of', 'thin', 'tubes', 'it', 'is', 'found', 'that', 'for', 'positive', 'perturbations', 'and', 'angular', 'speed', 'of', 'the', 'flow', 'instability', 'is', 'achieved', 'since', 'the', 'sectional', 'ricci', 'curvature', 'of', 'the', 'twisted', 'tube', 'metric', 'is', 'negative']] | [-0.24415441677256516, 0.15810852741053555, -0.04272427455042348, 0.07374343270908645, -0.078906028192829, -0.11720424489061715, -0.13156731628149634, 0.40317574476428103, -0.23760294664966888, -0.20616327093519043, 0.1421647261696776, -0.2764152041265995, -0.08382561160815936, 0.19723296679810368, -0.07612208746881648, 0.08573293837605778, 0.07269647270687997, 0.0710311896576913, -0.02130680970466611, -0.21088165764090125, 0.4189520434610489, 0.03546139918564057, 0.3151405922729861, 0.1030290479221466, 0.12397801193098228, -0.11159155532280265, -0.0022191432177681813, 0.11091410049067979, -0.18727378009134554, 0.08158840674723526, 0.12722705372244958, -0.0011250367388129234, 0.1668822614416113, -0.4503129594077384, -0.2592537068677219, 0.07932602907672073, 0.13464605166915466, 0.013738922358518748, -0.019531678917480873, -0.2520315124173508, 0.13521804521918634, -0.052670731554936734, -0.1844330417216318, -0.04983931581955403, 0.038818673195430274, -0.0011778583848905382, -0.1733318667507829, 0.10717664862573711, 0.11149684957115713, 0.05259660747039809, -0.10868516279680823, -0.07954319347856764, -0.11622546136266354, 0.09578051832927899, 0.1405186196312901, 0.03474717252891313, 0.16721240950353217, -0.12408446022450473, -0.031002280909116522, 0.3443188547495414, -0.13745779536354044, -0.29722148707757395, 0.06168694456926349, -0.13902336232025514, -0.02071612928359007, 0.16946362909793883, 0.17000720350805557, 0.189400193854729, -0.05291836939498105, 0.07447064970487687, -0.04986178947640865, 0.06524351415944031, 0.1597274804882931, -0.09613931181030982, 0.18486697815189307, 0.10307599111657703, 0.13627371947796113, 0.14709525763200046, -0.07818096758758959, -0.08408344652023957, -0.3417079142421823, -0.2349091991641079, -0.112753811618225, 0.12089893397536468, -0.13611168052199046, -0.23864779703558958, 0.3793376129893163, -0.010430667895089948, 0.16721305736538136, 0.07258005032428738, 0.28368503292740294, 0.03956099501881523, 0.07479837260766406, 0.16335919559721582, 0.3404363991170557, 0.2727708796367303, 0.1430085095416871, -0.1901385427424402, -0.030947884239580933, 0.12615978842685846] |
708.1645 | Cell dynamics simulation of droplet and bridge formation within striped
nano-capillaries | The kinetics of droplet and bridge formation within striped nano-capillaries
is studied when the wetting film grows via interface-limited growth. The
phenomenological time-dependent Ginzburg-Landau (TDGL)-type model with thermal
noise is used and numerically solved using the cell dynamics method. The model
is two-dimensional and consists of undersaturated vapor confined within a
nano-capillary made of two infinitely wide flat substrates. The surface of the
substrate is chemically heterogeneous with a single stripe of lyophilic domain
that exerts long-range attractive potential to the vapor molecule. The dynamics
of nucleation and subsequent growth of droplet and bridge can be simulated and
visualized. In particular, the evolution of the morphology from droplet or bump
to bridge is clearly identified. Crucial role played by the substrate potential
on the morphology of bridge of nanoscopic size is clarified. Nearly
temperature-independent evolution of capillary condensation is predicted when
the interface-limited growth dominates. In addition, it is shown that the
dynamics of capillary condensation follows the scenario of capillary
condensation proposed by Everett and Haynes three decades ago.
| cond-mat.soft | the kinetics of droplet and bridge formation within striped nanocapillaries is studied when the wetting film grows via interfacelimited growth the phenomenological timedependent ginzburglandau tdgltype model with thermal noise is used and numerically solved using the cell dynamics method the model is twodimensional and consists of undersaturated vapor confined within a nanocapillary made of two infinitely wide flat substrates the surface of the substrate is chemically heterogeneous with a single stripe of lyophilic domain that exerts longrange attractive potential to the vapor molecule the dynamics of nucleation and subsequent growth of droplet and bridge can be simulated and visualized in particular the evolution of the morphology from droplet or bump to bridge is clearly identified crucial role played by the substrate potential on the morphology of bridge of nanoscopic size is clarified nearly temperatureindependent evolution of capillary condensation is predicted when the interfacelimited growth dominates in addition it is shown that the dynamics of capillary condensation follows the scenario of capillary condensation proposed by everett and haynes three decades ago | [['the', 'kinetics', 'of', 'droplet', 'and', 'bridge', 'formation', 'within', 'striped', 'nanocapillaries', 'is', 'studied', 'when', 'the', 'wetting', 'film', 'grows', 'via', 'interfacelimited', 'growth', 'the', 'phenomenological', 'timedependent', 'ginzburglandau', 'tdgltype', 'model', 'with', 'thermal', 'noise', 'is', 'used', 'and', 'numerically', 'solved', 'using', 'the', 'cell', 'dynamics', 'method', 'the', 'model', 'is', 'twodimensional', 'and', 'consists', 'of', 'undersaturated', 'vapor', 'confined', 'within', 'a', 'nanocapillary', 'made', 'of', 'two', 'infinitely', 'wide', 'flat', 'substrates', 'the', 'surface', 'of', 'the', 'substrate', 'is', 'chemically', 'heterogeneous', 'with', 'a', 'single', 'stripe', 'of', 'lyophilic', 'domain', 'that', 'exerts', 'longrange', 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708.1646 | Self Excitation of Nano-Mechanical Pillars | Self excitation is a mechanism which is ubiquitous for electromechanical
power devices such as electrical generators. This is conventionally achieved by
making use of the magnetic field component in electrical generators [1], where
a good example are the overall visible wind farm turbines [2]. In other words,
a static force, like wind acting on the rotor blades, can generate a resonant
excitation at a certain mechanical frequency. For nanomechanical systems
[3,4,5] such a self excitation (SE) mechanism is highly desirable as well,
since it can generate mechanical oscillations at radio frequencies by simply
applying a DC bias voltage. This is of great importance for low-power signal
communication devices and detectors, as well as for mechanical computing
elements. For a particular nanomechanical system - the single electron shuttle
- this effect was predicted some time ago by Gorelik et al. [6]. Here, we use a
nano-electromechanical single electron transistor (NEMSET) to demonstrate self
excitation for both the soft and hard regime, respectively. The ability to use
self excitation in nanomechanical systems may enable the detection of quantum
mechanical backaction effects [7] in direct tunneling, macroscopic quantum
tunneling [8], and rectification [9]. All these effects have so far been over
shadowed by the large driving voltages, which had to be applied.
| cond-mat.mes-hall | self excitation is a mechanism which is ubiquitous for electromechanical power devices such as electrical generators this is conventionally achieved by making use of the magnetic field component in electrical generators 1 where a good example are the overall visible wind farm turbines 2 in other words a static force like wind acting on the rotor blades can generate a resonant excitation at a certain mechanical frequency for nanomechanical systems 345 such a self excitation se mechanism is highly desirable as well since it can generate mechanical oscillations at radio frequencies by simply applying a dc bias voltage this is of great importance for lowpower signal communication devices and detectors as well as for mechanical computing elements for a particular nanomechanical system the single electron shuttle this effect was predicted some time ago by gorelik et al 6 here we use a nanoelectromechanical single electron transistor nemset to demonstrate self excitation for both the soft and hard regime respectively the ability to use self excitation in nanomechanical systems may enable the detection of quantum mechanical backaction effects 7 in direct tunneling macroscopic quantum tunneling 8 and rectification 9 all these effects have so far been over shadowed by the large driving voltages which had to be applied | [['self', 'excitation', 'is', 'a', 'mechanism', 'which', 'is', 'ubiquitous', 'for', 'electromechanical', 'power', 'devices', 'such', 'as', 'electrical', 'generators', 'this', 'is', 'conventionally', 'achieved', 'by', 'making', 'use', 'of', 'the', 'magnetic', 'field', 'component', 'in', 'electrical', 'generators', '1', 'where', 'a', 'good', 'example', 'are', 'the', 'overall', 'visible', 'wind', 'farm', 'turbines', '2', 'in', 'other', 'words', 'a', 'static', 'force', 'like', 'wind', 'acting', 'on', 'the', 'rotor', 'blades', 'can', 'generate', 'a', 'resonant', 'excitation', 'at', 'a', 'certain', 'mechanical', 'frequency', 'for', 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708.1647 | Molecular Hydrogen Formation on Low Temperature Surfaces in Temperature
Programmed Desorption Experiments | The study of the formation of molecular hydrogen on low temperature surfaces
is of interest both because it allows to explore elementary steps in the
heterogeneous catalysis of a simple molecule and because of the applications in
astrochemistry. Here we report results of experiments of molecular hydrogen
formation on amorphous silicate surfaces using temperature-programmed
desorption (TPD). In these experiments beams of H and D atoms are irradiated on
the surface of an amorphous silicate sample. The desorption rate of HD
molecules is monitored using a mass spectrometer during a subsequent TPD run.
The results are analyzed using rate equations and the activation energies of
the processes leading to molecular hydrogen formation are obtained from the TPD
data. We show that a model based on a single isotope provides the correct
results for the activation energies for diffusion and desorption of H atoms.
These results can thus be used to evaluate the formation rate of H_2 on dust
grains under the actual conditions present in interstellar clouds.
| physics.chem-ph astro-ph | the study of the formation of molecular hydrogen on low temperature surfaces is of interest both because it allows to explore elementary steps in the heterogeneous catalysis of a simple molecule and because of the applications in astrochemistry here we report results of experiments of molecular hydrogen formation on amorphous silicate surfaces using temperatureprogrammed desorption tpd in these experiments beams of h and d atoms are irradiated on the surface of an amorphous silicate sample the desorption rate of hd molecules is monitored using a mass spectrometer during a subsequent tpd run the results are analyzed using rate equations and the activation energies of the processes leading to molecular hydrogen formation are obtained from the tpd data we show that a model based on a single isotope provides the correct results for the activation energies for diffusion and desorption of h atoms these results can thus be used to evaluate the formation rate of h_2 on dust grains under the actual conditions present in interstellar clouds | [['the', 'study', 'of', 'the', 'formation', 'of', 'molecular', 'hydrogen', 'on', 'low', 'temperature', 'surfaces', 'is', 'of', 'interest', 'both', 'because', 'it', 'allows', 'to', 'explore', 'elementary', 'steps', 'in', 'the', 'heterogeneous', 'catalysis', 'of', 'a', 'simple', 'molecule', 'and', 'because', 'of', 'the', 'applications', 'in', 'astrochemistry', 'here', 'we', 'report', 'results', 'of', 'experiments', 'of', 'molecular', 'hydrogen', 'formation', 'on', 'amorphous', 'silicate', 'surfaces', 'using', 'temperatureprogrammed', 'desorption', 'tpd', 'in', 'these', 'experiments', 'beams', 'of', 'h', 'and', 'd', 'atoms', 'are', 'irradiated', 'on', 'the', 'surface', 'of', 'an', 'amorphous', 'silicate', 'sample', 'the', 'desorption', 'rate', 'of', 'hd', 'molecules', 'is', 'monitored', 'using', 'a', 'mass', 'spectrometer', 'during', 'a', 'subsequent', 'tpd', 'run', 'the', 'results', 'are', 'analyzed', 'using', 'rate', 'equations', 'and', 'the', 'activation', 'energies', 'of', 'the', 'processes', 'leading', 'to', 'molecular', 'hydrogen', 'formation', 'are', 'obtained', 'from', 'the', 'tpd', 'data', 'we', 'show', 'that', 'a', 'model', 'based', 'on', 'a', 'single', 'isotope', 'provides', 'the', 'correct', 'results', 'for', 'the', 'activation', 'energies', 'for', 'diffusion', 'and', 'desorption', 'of', 'h', 'atoms', 'these', 'results', 'can', 'thus', 'be', 'used', 'to', 'evaluate', 'the', 'formation', 'rate', 'of', 'h_2', 'on', 'dust', 'grains', 'under', 'the', 'actual', 'conditions', 'present', 'in', 'interstellar', 'clouds']] | [-0.043175360297290494, 0.14674086282276955, -0.05789475370737084, -0.0035254657072160975, 0.046789946002291, -0.0765776748527739, 0.07508902623127382, 0.43246059273425713, -0.21591133012223135, -0.27992994152009487, 0.05031059609153813, -0.2584291817186469, -0.0705118953157076, 0.1983496728409306, 0.026312031401657915, 0.02227193301162088, 0.08686450673603868, -0.04850289765857609, -0.01530737884157528, -0.25885032768731553, 0.28058027943136193, 0.13010774011981774, 0.22370265261831143, 0.14897727155258475, 0.06032729263351501, -0.08357102863198843, -0.0055263560477094385, -0.06711460413209286, -0.19840660402629312, 0.13417367131662478, 0.21904819556483887, 0.057193377198993665, 0.17944966313283306, -0.5099168700186296, -0.24679092123139515, 0.036019291846552885, 0.10210426550930793, 0.1188303492963314, -0.10100014572491496, -0.216127116435084, 0.021194850840796548, -0.09661907599874245, -0.09132296297171838, -0.03615641323092158, 0.03235674602209579, 0.0583238419894331, -0.2847231965714011, 0.08593180979579597, -0.00279791189739144, 0.09213905030839055, -0.13888986311124984, -0.14394540365516062, -0.08051827913767333, 0.06418407945725393, -0.007913421436229789, -0.032100800270528855, 0.26892133295558485, -0.11953639197095783, -0.061795291563787734, 0.43617087816931754, -0.10843945163616305, -0.0722563756203436, 0.26901181300411964, -0.1601541736843457, -0.13764481969087958, 0.23659136064956526, 0.15839589726746486, 0.16660146272414453, -0.16064811251490904, 0.03420315831300034, -0.03016930076585387, 0.18162873479346914, 0.0957598418603281, 0.017260258392492556, 0.21095840124895862, 0.20296533711546336, -0.013168006967079926, 0.15282201741931467, -0.18037677557258136, -0.0654630733342527, -0.232727317565895, -0.2265141562135127, -0.18907048519566116, 0.05236417615045625, -0.05147244197741454, -0.10666819330282419, 0.31099455402490783, 0.1098347091226816, 0.2243604491750923, -0.016196991513337356, 0.2637250128465828, 0.06862815398812654, 0.05309977771238149, 0.010643622276923025, 0.2119622348908739, 0.1500571698556284, 0.0842622963750892, -0.27973897404918247, 0.13209391094138284, 0.019653531077531088] |
708.1648 | The direct oxygen abundances of metal-rich galaxies derived from
electron temperature | We aim to derive the electron temperature Te in the gas of metal-rich
star-forming galaxies, which can be obtained from their ratios of auroral lines
[O II]7320,7330 to nebular lines [O II]3727, in order to establish a more
robust mass-metallicity relationship, and compare the Te-based (O/H) abundances
with those from empirical strong-line calibrations, such as R23. We obtained 27
spectra by stacking the spectra of several hundred (even several thousand)
star-forming galaxies selected from the SDSS-DR4 in each of the 27 stellar mass
bins from log(M*) ~8.0 to 10.6 (logMsun). This "stack" method sufficiently
improves the signal-to-noise ratio of the auroral lines [O II]7320,7330, which
allow us to reliably obtain the electron temperature t2 in the low ionization
region from the ratio of [O II]7320,7330 to [O II]3727, then t3 in the high
ionization region from t2 by using a relation, and then the direct (O/H)
abundances from Te. The results show that the empirical R23 method will
overestimate the log(O/H) by 0.2 to 0.6 dex for these moderate metal-rich
galaxies. The new metal-mass relationship of the galaxies with moderate
metallicities is fitted by a linear fit (12+log(O/H) =6.223+0.231*logM*)
confirming that empirical methods significantly overestimate (O/H). We also
derived their (N/O) abundance ratios on the basis of the Te method, which are
consistent with the combination of the primary and secondary components of
nitrogen. For actual use, we re-derive the relations of 12+log(O/H)(Bay) vs.
logM* and 12+log(O/H)(Bay) vs. logR23 from the SDSS-DR4 data, which are a bit
different from those derived from DR2.
| astro-ph | we aim to derive the electron temperature te in the gas of metalrich starforming galaxies which can be obtained from their ratios of auroral lines o ii73207330 to nebular lines o ii3727 in order to establish a more robust massmetallicity relationship and compare the tebased oh abundances with those from empirical strongline calibrations such as r23 we obtained 27 spectra by stacking the spectra of several hundred even several thousand starforming galaxies selected from the sdssdr4 in each of the 27 stellar mass bins from logm 80 to 106 logmsun this stack method sufficiently improves the signaltonoise ratio of the auroral lines o ii73207330 which allow us to reliably obtain the electron temperature t2 in the low ionization region from the ratio of o ii73207330 to o ii3727 then t3 in the high ionization region from t2 by using a relation and then the direct oh abundances from te the results show that the empirical r23 method will overestimate the logoh by 02 to 06 dex for these moderate metalrich galaxies the new metalmass relationship of the galaxies with moderate metallicities is fitted by a linear fit 12logoh 62230231logm confirming that empirical methods significantly overestimate oh we also derived their no abundance ratios on the basis of the te method which are consistent with the combination of the primary and secondary components of nitrogen for actual use we rederive the relations of 12logohbay vs logm and 12logohbay vs logr23 from the sdssdr4 data which are a bit different from those derived from dr2 | [['we', 'aim', 'to', 'derive', 'the', 'electron', 'temperature', 'te', 'in', 'the', 'gas', 'of', 'metalrich', 'starforming', 'galaxies', 'which', 'can', 'be', 'obtained', 'from', 'their', 'ratios', 'of', 'auroral', 'lines', 'o', 'ii73207330', 'to', 'nebular', 'lines', 'o', 'ii3727', 'in', 'order', 'to', 'establish', 'a', 'more', 'robust', 'massmetallicity', 'relationship', 'and', 'compare', 'the', 'tebased', 'oh', 'abundances', 'with', 'those', 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0.040943699491093395] |
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