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712.2279 | A Cheerful Introduction to Forcing and the Continuum Hypothesis | This is an introduction to the set-theoretic method of forcing, including its
application in proving the independence of the Continuum Hypothesis from the
Zermelo-Fraenkel axioms of set theory. I presuppose no particular mathematical
background beyond some familiarity with set theory and mathematical logic - in
particular, no algebra is presupposed, though it can be useful. The goal is to
have a document that makes this material accessible to mathematics graduate
students in all fields, and to philosophers with an interest in set theory and
mathematical logic but no other mathematical background.
| math.LO math.GM | this is an introduction to the settheoretic method of forcing including its application in proving the independence of the continuum hypothesis from the zermelofraenkel axioms of set theory i presuppose no particular mathematical background beyond some familiarity with set theory and mathematical logic in particular no algebra is presupposed though it can be useful the goal is to have a document that makes this material accessible to mathematics graduate students in all fields and to philosophers with an interest in set theory and mathematical logic but no other mathematical background | [['this', 'is', 'an', 'introduction', 'to', 'the', 'settheoretic', 'method', 'of', 'forcing', 'including', 'its', 'application', 'in', 'proving', 'the', 'independence', 'of', 'the', 'continuum', 'hypothesis', 'from', 'the', 'zermelofraenkel', 'axioms', 'of', 'set', 'theory', 'i', 'presuppose', 'no', 'particular', 'mathematical', 'background', 'beyond', 'some', 'familiarity', 'with', 'set', 'theory', 'and', 'mathematical', 'logic', 'in', 'particular', 'no', 'algebra', 'is', 'presupposed', 'though', 'it', 'can', 'be', 'useful', 'the', 'goal', 'is', 'to', 'have', 'a', 'document', 'that', 'makes', 'this', 'material', 'accessible', 'to', 'mathematics', 'graduate', 'students', 'in', 'all', 'fields', 'and', 'to', 'philosophers', 'with', 'an', 'interest', 'in', 'set', 'theory', 'and', 'mathematical', 'logic', 'but', 'no', 'other', 'mathematical', 'background']] | [-0.033181685630956456, 0.05306973519715636, -0.12388192257947392, 0.0954242269987137, -0.19288746029035084, -0.13548260108671253, 0.03444470641035069, 0.3307511957776215, -0.2830655585301833, -0.3079874935456448, 0.08620360319295692, -0.27467471551564004, -0.14789854421590765, 0.17678129323240782, -0.16997877310754525, -0.00352076953341667, 0.008480358072039154, 0.09737093823754953, -0.016174354831067224, -0.246187139427962, 0.2945147778114511, 0.0379890809327157, 0.24034313995442871, 0.045124812765667835, 0.0768385201640841, 0.011027968307543132, -0.03759540401709576, 0.0652199841182058, -0.08727463346480767, 0.1378563458410402, 0.34635236283971205, 0.2514234696747735, 0.33416186198592185, -0.4664843733318978, -0.16889967060544425, 0.08481644550338388, 0.041334775461453116, 0.15936396260642344, 0.00035139371951421104, -0.264747848506603, 0.05894711095218857, -0.16509181691540611, -0.11896290097696086, -0.07736206827167835, 0.05771349991878701, -0.06119982368416256, -0.19744028348682655, -0.023950638889800757, 0.13347049835720098, 0.17630537066013655, -0.017678724315030397, -0.11259347824379802, -0.0019294323684233758, 0.0816065686599662, 0.05410278584070814, 0.051373617014744216, 0.10181730593192495, -0.16137734872495962, -0.14050830238395268, 0.38492867932137514, 0.006487816882630189, -0.22684062701494742, 0.23362256488245395, -0.14568149706659217, -0.2068028271327623, 0.09993027017141382, 0.07951002046465874, 0.05844800563839574, -0.1878449874360942, 0.17848504040092747, -0.05435526398941874, 0.1974145771883842, 0.08814480229953511, 0.046945377476772084, 0.22729171597554038, 0.15627309398001266, 0.026003044256423084, 0.06683550142204492, 0.06519140941220232, -0.09655382370369302, -0.39374562059011725, -0.15048198749718722, -0.14990987876145584, 0.04231092735038449, -0.03860395490660772, -0.21136912016405, 0.3506737662750917, 0.2286348332495739, 0.04335702717718151, 0.05061769023951557, 0.2352574910554621, 0.10408533419556787, 0.02873334121153069, 0.04287183210771117, 0.21627382568969752, 0.19591577792954112, 0.10844959621317685, -0.07979419751144531, 0.06107255526197453, 0.03935836518907713] |
712.228 | The assembly bias of dark matter haloes to higher orders | We use an extremely large volume ($2.4h^{-3}{\rm Gpc}^{3}$), high resolution
N-body simulation to measure the higher order clustering of dark matter haloes
as a function of mass and internal structure. As a result of the large
simulation volume and the use of a novel ``cross-moment'' counts-in-cells
technique which suppresses discreteness noise, we are able to measure the
clustering of haloes corresponding to rarer peaks than was possible in previous
studies; the rarest haloes for which we measure the variance are 100 times more
clustered than the dark matter. We are able to extract, for the first time,
halo bias parameters from linear up to fourth order. For all orders measured,
we find that the bias parameters are a strong function of mass for haloes more
massive than the characteristic mass $M_{*}$. Currently, no theoretical model
is able to reproduce this mass dependence closely. We find that the bias
parameters also depend on the internal structure of the halo up to fourth
order. For haloes more massive than $M_{*}$, we find that the more concentrated
haloes are more weakly clustered than the less concentrated ones. We see no
dependence of clustering on concentration for haloes with masses $M<M_{*}$;
this is contrary to the trend reported in the literature when segregating
haloes by their formation time. Our results are insensitive to whether haloes
are labelled by the total mass returned by the friends-of-friends group finder
or by the mass of the most massive substructure. This implies that our
conclusions are not an artefact of the particular choice of group finding
algorithm. Our results will provide important input to theoretical models of
galaxy clustering.
| astro-ph | we use an extremely large volume 24h3rm gpc3 high resolution nbody simulation to measure the higher order clustering of dark matter haloes as a function of mass and internal structure as a result of the large simulation volume and the use of a novel crossmoment countsincells technique which suppresses discreteness noise we are able to measure the clustering of haloes corresponding to rarer peaks than was possible in previous studies the rarest haloes for which we measure the variance are 100 times more clustered than the dark matter we are able to extract for the first time halo bias parameters from linear up to fourth order for all orders measured we find that the bias parameters are a strong function of mass for haloes more massive than the characteristic mass m_ currently no theoretical model is able to reproduce this mass dependence closely we find that the bias parameters also depend on the internal structure of the halo up to fourth order for haloes more massive than m_ we find that the more concentrated haloes are more weakly clustered than the less concentrated ones we see no dependence of clustering on concentration for haloes with masses mm_ this is contrary to the trend reported in the literature when segregating haloes by their formation time our results are insensitive to whether haloes are labelled by the total mass returned by the friendsoffriends group finder or by the mass of the most massive substructure this implies that our conclusions are not an artefact of the particular choice of group finding algorithm our results will provide important input to theoretical models of galaxy clustering | [['we', 'use', 'an', 'extremely', 'large', 'volume', '24h3rm', 'gpc3', 'high', 'resolution', 'nbody', 'simulation', 'to', 'measure', 'the', 'higher', 'order', 'clustering', 'of', 'dark', 'matter', 'haloes', 'as', 'a', 'function', 'of', 'mass', 'and', 'internal', 'structure', 'as', 'a', 'result', 'of', 'the', 'large', 'simulation', 'volume', 'and', 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712.2281 | Type IIA orientifolds and orbifolds on non-factorizable tori | We investigate Type II orientifolds on non-factorizable torus with and
without its oribifolding. We explicitly calculate the Ramond-Ramond tadpole
from string one-loop amplitudes, and confirm that the consistent number of
orientifold planes is directly derived from the Lefschetz fixed point theorem.
We furthermore classify orientifolds on non-factorizable Z_N x Z_M orbifolds,
and construct new supersymmetric Type IIA orientifold models on them.
| hep-th | we investigate type ii orientifolds on nonfactorizable torus with and without its oribifolding we explicitly calculate the ramondramond tadpole from string oneloop amplitudes and confirm that the consistent number of orientifold planes is directly derived from the lefschetz fixed point theorem we furthermore classify orientifolds on nonfactorizable z_n x z_m orbifolds and construct new supersymmetric type iia orientifold models on them | [['we', 'investigate', 'type', 'ii', 'orientifolds', 'on', 'nonfactorizable', 'torus', 'with', 'and', 'without', 'its', 'oribifolding', 'we', 'explicitly', 'calculate', 'the', 'ramondramond', 'tadpole', 'from', 'string', 'oneloop', 'amplitudes', 'and', 'confirm', 'that', 'the', 'consistent', 'number', 'of', 'orientifold', 'planes', 'is', 'directly', 'derived', 'from', 'the', 'lefschetz', 'fixed', 'point', 'theorem', 'we', 'furthermore', 'classify', 'orientifolds', 'on', 'nonfactorizable', 'z_n', 'x', 'z_m', 'orbifolds', 'and', 'construct', 'new', 'supersymmetric', 'type', 'iia', 'orientifold', 'models', 'on', 'them']] | [-0.15069324467331172, 0.06661415340689321, -0.021830612529690065, 0.23009451066803496, -0.09377910436208671, -0.20985771390454222, 0.09726017670085033, 0.36483698096126316, -0.12616127071281275, -0.19744333165387312, 0.0909680257202126, -0.27274823720411706, -0.1456301226785096, 0.11748605660783748, -0.15812544552609326, -0.07654434597837584, -0.00468797868816182, 0.012701375363394617, -0.13353991702121373, -0.3019741567200981, 0.41692286829153696, -0.1250989895624419, 0.28361055492811527, 0.03992877064350372, 0.07170479213042806, -0.002227676952801024, -0.11093046944588422, -0.04532379463004569, -0.1441642128170012, 0.06975352385973868, 0.14580909630246122, 0.06015059917699546, -0.10043196072801948, -0.4932077576716741, -0.15011448157019913, 0.17295752487455804, 0.2005872024067988, 0.14085586530466873, 0.03783827273679587, -0.2987859319197014, 0.11397143936095139, -0.1787208998032535, -0.16675505648211886, -0.1082401802452902, -0.004101917838367323, -0.026918988909649975, -0.21154994741082192, -0.009844529089362671, -0.0495612284168601, 0.054864584809790055, -0.01693460921330067, -0.11491223265960192, -0.15033570962259546, 0.05627140102442354, 0.11399158699205145, 0.06728315375900516, 0.11814646645604322, -0.19040168450058748, -0.17872927105151273, 0.33594776649260893, -0.029618765235257645, -0.2104215484733383, 0.0932097737172929, -0.10978911339771003, -0.2390042252528171, 0.13503120246653755, 0.08303202529593061, 0.19812281714597096, -0.07641388539535304, 0.2670801271344923, -0.030656742118299007, 0.10126743008780371, 0.09571466574755808, 0.014859566333082814, 0.24942371274034184, 0.02553356698093315, 0.011827889985094467, 0.10866787348835108, -0.1301024585113434, -0.07564645616803319, -0.5099036704748869, -0.05332728635209302, -0.055176471212568384, 0.23267183671705424, -0.1821337997983695, -0.20108308749040588, 0.33018151101035376, 0.08008111419621855, 0.16446615010499954, 0.12768426004671105, 0.1649546192958951, 0.03388785094333192, 0.04314575186775376, 0.004427165957167745, 0.1704597258940339, 0.16131821845968564, 0.004313928199311098, -0.27681652136767904, -0.18435623635693144, 0.31445954298445333] |
712.2282 | Stability of de Sitter spacetime under isotropic perturbations in
semiclassical gravity | A spatially flat Robertson-Walker spacetime driven by a cosmological constant
is non-conformally coupled to a massless scalar field. The equations of
semiclassical gravity are explicitly solved for this case, and a
self-consistent de Sitter solution associated with the Bunch-Davies vacuum
state is found (the effect of the quantum field is to shift slightly the
effective cosmological constant). Furthermore, it is shown that the corrected
de Sitter spacetime is stable under spatially-isotropic perturbations of the
metric and the quantum state. These results are independent of the free
renormalization parameters.
| gr-qc | a spatially flat robertsonwalker spacetime driven by a cosmological constant is nonconformally coupled to a massless scalar field the equations of semiclassical gravity are explicitly solved for this case and a selfconsistent de sitter solution associated with the bunchdavies vacuum state is found the effect of the quantum field is to shift slightly the effective cosmological constant furthermore it is shown that the corrected de sitter spacetime is stable under spatiallyisotropic perturbations of the metric and the quantum state these results are independent of the free renormalization parameters | [['a', 'spatially', 'flat', 'robertsonwalker', 'spacetime', 'driven', 'by', 'a', 'cosmological', 'constant', 'is', 'nonconformally', 'coupled', 'to', 'a', 'massless', 'scalar', 'field', 'the', 'equations', 'of', 'semiclassical', 'gravity', 'are', 'explicitly', 'solved', 'for', 'this', 'case', 'and', 'a', 'selfconsistent', 'de', 'sitter', 'solution', 'associated', 'with', 'the', 'bunchdavies', 'vacuum', 'state', 'is', 'found', 'the', 'effect', 'of', 'the', 'quantum', 'field', 'is', 'to', 'shift', 'slightly', 'the', 'effective', 'cosmological', 'constant', 'furthermore', 'it', 'is', 'shown', 'that', 'the', 'corrected', 'de', 'sitter', 'spacetime', 'is', 'stable', 'under', 'spatiallyisotropic', 'perturbations', 'of', 'the', 'metric', 'and', 'the', 'quantum', 'state', 'these', 'results', 'are', 'independent', 'of', 'the', 'free', 'renormalization', 'parameters']] | [-0.19604314092798267, 0.22773581584005606, -0.1322341062417575, 0.08820856972624301, -0.09315438860834672, -0.1746762229515047, -0.10112870367372344, 0.30473966510088624, -0.19655296940827507, -0.23409226652764684, 0.06816731220453806, -0.24209172175876026, -0.10954072330168438, 0.1434355365947403, -0.02543678912922911, 0.06281718603153338, -0.004810390753093465, 0.07536416950946052, -0.05810543779958168, -0.27857691882413693, 0.42095705098204916, 0.11002275055199433, 0.28559923425702183, -0.04869425601671161, 0.14327302250754217, -0.05294154363486316, 0.007115219634069109, 0.09328116027467039, -0.17644049472688367, 0.020741409074846954, 0.1922489173190826, 0.045414082650359504, 0.21753845991159992, -0.36232726372264584, -0.2594088634968489, 0.06817727478156829, 0.12572740525777998, 0.23325845663938885, -0.06781715152506855, -0.3464769305227774, 0.05022714791241391, -0.13670620871386652, -0.1736061813138511, -0.05820862345408177, -0.016442077071138327, -0.1256145765555316, -0.23414781598652573, 0.13613777036943217, -0.020890809943492728, -0.06929853286636972, -0.13400371745764011, -0.024662260346157455, -0.038452727361528695, 0.0491280987130842, 0.09301778832022314, 0.06368909672775103, 0.13484963925619578, -0.11074102008661747, -0.056568523790639154, 0.3813232225633558, -0.16804048031482888, -0.2741950574470149, 0.09299064351609726, -0.1240305741553077, -0.056748308070089626, 0.10998111368617279, 0.04815963266053419, 0.17993943048534036, -0.14317865785339784, 0.26827159236939946, 0.025979498026614218, 0.15480809889990707, 0.10979650459712607, 0.004262881888740364, 0.24513302670976403, 0.02954058990353483, 0.06075416727997791, 0.09053552919602685, 0.011655630543158957, -0.18685226922790552, -0.37682471501416176, -0.15866224777124738, -0.15750598957248288, 0.12086909662546783, -0.18217800687643934, -0.2501246762771732, 0.3563424455558603, 0.08844660302816794, 0.10232153599385986, 0.01736643724678748, 0.25075552950816593, 0.14561581170593185, -0.009092156213290733, 0.11109645095728767, 0.3190661558089243, 0.1675538264118649, 0.11529333258834507, -0.27476214933284054, -0.07271294402836383, 0.06613903244068825] |
712.2283 | Dynamical Coupled-Channels Effects on Pion Photoproduction | The electromagnetic pion production reactions are investigated within the
dynamical coupled-channels model developed in {\bf Physics Reports, 439, 193
(2007)}. The meson-baryon channels included in this study are $\gamma N$, $\pi
N$, $\eta N$, and the $\pi\Delta$, $\rho N$ and $\sigma N$ resonant components
of the $\pi\pi N$ channel. With the hadronic parameters of the model determined
in a recent study of $\pi N$ scattering, we show that the pion photoproduction
data up to the second resonance region can be described to a very large extent
by only adjusting the bare $\gamma N \to N^*$ helicity amplitudes, while the
non-resonant electromagnetic couplings are taken from previous works. It is
found that the coupled-channels effects can contribute about 10 - 20 % of the
production cross sections in the $\Delta$ (1232) resonance region, and can
drastically change the magnitude and shape of the cross sections in the second
resonance region. The importance of the off-shell effects in a dynamical
approach is also demonstrated. The meson cloud effects as well as the
coupled-channels contributions to the $\gamma N \to N^*$ form factors are found
to be mainly in the low $Q^2$ region. For the magnetic M1 $\gamma N \to \Delta$
(1232) form factor, the results are close to that of the Sato-Lee Model.
Necessary improvements to the model and future developments are discussed.
| nucl-th | the electromagnetic pion production reactions are investigated within the dynamical coupledchannels model developed in bf physics reports 439 193 2007 the mesonbaryon channels included in this study are gamma n pi n eta n and the pidelta rho n and sigma n resonant components of the pipi n channel with the hadronic parameters of the model determined in a recent study of pi n scattering we show that the pion photoproduction data up to the second resonance region can be described to a very large extent by only adjusting the bare gamma n to n helicity amplitudes while the nonresonant electromagnetic couplings are taken from previous works it is found that the coupledchannels effects can contribute about 10 20 of the production cross sections in the delta 1232 resonance region and can drastically change the magnitude and shape of the cross sections in the second resonance region the importance of the offshell effects in a dynamical approach is also demonstrated the meson cloud effects as well as the coupledchannels contributions to the gamma n to n form factors are found to be mainly in the low q2 region for the magnetic m1 gamma n to delta 1232 form factor the results are close to that of the satolee model necessary improvements to the model and future developments are discussed | [['the', 'electromagnetic', 'pion', 'production', 'reactions', 'are', 'investigated', 'within', 'the', 'dynamical', 'coupledchannels', 'model', 'developed', 'in', 'bf', 'physics', 'reports', '439', '193', '2007', 'the', 'mesonbaryon', 'channels', 'included', 'in', 'this', 'study', 'are', 'gamma', 'n', 'pi', 'n', 'eta', 'n', 'and', 'the', 'pidelta', 'rho', 'n', 'and', 'sigma', 'n', 'resonant', 'components', 'of', 'the', 'pipi', 'n', 'channel', 'with', 'the', 'hadronic', 'parameters', 'of', 'the', 'model', 'determined', 'in', 'a', 'recent', 'study', 'of', 'pi', 'n', 'scattering', 'we', 'show', 'that', 'the', 'pion', 'photoproduction', 'data', 'up', 'to', 'the', 'second', 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712.2284 | The PennState/Toru\'n Center for Astronomy Search for Planets around
Evolved Stars | We present the motivation for and the first results from a large radial
velocity search for planets around red giants with the 9.2-m Hobby-Eberly
Telescope.
| astro-ph | we present the motivation for and the first results from a large radial velocity search for planets around red giants with the 92m hobbyeberly telescope | [['we', 'present', 'the', 'motivation', 'for', 'and', 'the', 'first', 'results', 'from', 'a', 'large', 'radial', 'velocity', 'search', 'for', 'planets', 'around', 'red', 'giants', 'with', 'the', '92m', 'hobbyeberly', 'telescope']] | [-0.04278136342763901, 0.13988635426387191, -0.10127987328916788, -0.016563494531437753, -0.16368103422224523, -0.01715750923380256, 0.07390845100395381, 0.34133478701114656, -0.0626317897439003, -0.37446499958634377, 0.088312546890229, -0.3125141466408968, -0.11149679690599441, 0.2610392673220485, -0.03993010025471449, 0.013979468746110797, 0.22042620196938514, -0.10045040912926197, 0.005853746868669987, -0.22582913756370546, 0.31731325656175613, 0.07237856309860945, 0.07110259581357241, -0.07738453418016433, 0.08055077001452446, -0.11601996818557382, -0.10580378785729408, -0.04786182403564453, -0.2215057791210711, 0.04679180458188057, 0.23541849419474603, 0.14810985419899225, 0.2574209148064256, -0.29419459369033574, -0.07404930677264929, 0.06455234702676535, 0.1357368713244796, 0.07415710397064686, -0.1354500081576407, -0.39621886193752287, 0.09366480827331543, -0.10666321735829115, -0.2669588039815426, 0.04009286370128393, 0.055153371617197994, 0.07516894362866879, -0.2433833497017622, 0.04625019587576389, -0.04316523239016533, 0.1919221268221736, -0.2106286781653762, -0.21583073465153574, -0.051042612106539306, 0.11634020229801535, -0.007965796515345574, 0.003690195940434933, 0.015388843659311533, -0.10847307249903679, 0.02477234661579132, 0.419689657241106, -0.23674049645662307, 0.025366927105933426, 0.19601681619882583, -0.23313675582408905, -0.2051725080050528, 0.09254264056682587, 0.24504941817373038, 0.18807260155677796, -0.15863905262202024, 0.01926910547306761, -0.024275257447734476, 0.19577472485601902, 0.07540083825588226, 0.009221482127904891, 0.352373005412519, 0.14774919625371694, 0.11913374822586775, 0.05863003288395703, -0.40521084345877173, -0.011619633063673973, -0.2419561904668808, -0.21360901191830636, -0.1625135937333107, 0.003125727400183678, -0.09774475539044943, -0.05641145825386047, 0.34806911379215305, 0.10544478876516222, 0.22069190099835395, 0.1351296590268612, 0.3645197959244251, 0.02946936145424843, 0.18703282341361047, 0.1394368825107813, 0.31190421760082243, 0.12818363193422555, 0.20798196069896221, -0.2566337497811764, -0.03140618041157722, -0.00020789727568626404] |
712.2285 | The PSU/TCfA Search for Planets Around Evolved Stars: Bisector Analysis
of Activity of a Sample of Red Giants | Searches for planets around evolved G-K subgiant and giant stars are
essential for developing general understanding of planet formation and
evolution of the planetary systems. Precise radial velocity (RV) measurements
of giants have lead to the discovery of ten planets around such star. However,
the long period radial velocity variations of red giants may also have other
than planetary nature. Non-radial oscillations or rotational modulation due to
starspots can also induce RV variations, thereby mimicking the gravitational
influence of low-mass companions. In this work we present bisector analysis of
five carefully selected lines for two stars from our survey.
| astro-ph | searches for planets around evolved gk subgiant and giant stars are essential for developing general understanding of planet formation and evolution of the planetary systems precise radial velocity rv measurements of giants have lead to the discovery of ten planets around such star however the long period radial velocity variations of red giants may also have other than planetary nature nonradial oscillations or rotational modulation due to starspots can also induce rv variations thereby mimicking the gravitational influence of lowmass companions in this work we present bisector analysis of five carefully selected lines for two stars from our survey | [['searches', 'for', 'planets', 'around', 'evolved', 'gk', 'subgiant', 'and', 'giant', 'stars', 'are', 'essential', 'for', 'developing', 'general', 'understanding', 'of', 'planet', 'formation', 'and', 'evolution', 'of', 'the', 'planetary', 'systems', 'precise', 'radial', 'velocity', 'rv', 'measurements', 'of', 'giants', 'have', 'lead', 'to', 'the', 'discovery', 'of', 'ten', 'planets', 'around', 'such', 'star', 'however', 'the', 'long', 'period', 'radial', 'velocity', 'variations', 'of', 'red', 'giants', 'may', 'also', 'have', 'other', 'than', 'planetary', 'nature', 'nonradial', 'oscillations', 'or', 'rotational', 'modulation', 'due', 'to', 'starspots', 'can', 'also', 'induce', 'rv', 'variations', 'thereby', 'mimicking', 'the', 'gravitational', 'influence', 'of', 'lowmass', 'companions', 'in', 'this', 'work', 'we', 'present', 'bisector', 'analysis', 'of', 'five', 'carefully', 'selected', 'lines', 'for', 'two', 'stars', 'from', 'our', 'survey']] | [-0.12517584224391465, 0.17071009999743164, -0.08560167294879904, 0.06797481312609344, -0.20080722360448403, -0.04848628167552178, 0.07296207718635825, 0.35908418927680363, -0.12266488488048616, -0.37549003601224734, 0.05854471471993196, -0.2569466718999349, -0.09959854969444375, 0.24162689112173863, -0.09247529379449634, 0.014386612159962004, 0.1980910369693631, -0.06264365837918688, -0.023870373746776197, -0.2780795669597056, 0.30772161844534557, -0.002490514691806201, 0.028171569005482726, -0.07837773303294347, -0.04621908175429762, -0.11983634925663772, -0.11310311996835434, -0.0664607309595202, -0.1839319141994694, 0.03600199626890397, 0.22844078641759957, 0.13842553291657958, 0.22027975642545658, -0.3586251791378464, -0.24479452907366472, 0.0867598034215696, 0.2626379437079051, 0.0648071663548248, -0.06812063720009073, -0.27895744802486716, 0.09299715389168323, -0.1442285315886215, -0.2256836552041197, -0.01949280649988037, 0.14178547676596226, 0.059402120594791316, -0.21038082333262823, 0.11422657474200476, 0.0930407769728753, 0.2263601701518502, -0.15719373774893505, -0.15090939253474575, -0.07996906500751849, 0.1036752316620991, 0.056694261866123086, 0.015171017562453117, 0.14435306671686998, -0.07422100159461902, -0.018434375148228925, 0.41093114691062105, -0.1545599781506227, -0.02084951807340287, 0.25911906019154224, -0.22586460935182381, -0.17650497075396054, 0.12457408408065224, 0.21107886447524182, 0.16085061167997092, -0.18107270921646346, -0.0685325344104903, 0.05502879009535066, 0.1678927653619662, 0.1540281371909636, 0.10409065768313171, 0.44144128944085104, 0.11238419978568952, 0.08005195486152338, 0.001446651204282211, -0.30296153846112167, -0.058978484388478476, -0.1466268887837427, -0.1009335472163829, -0.07136268688676257, 0.028694812035407975, -0.09208029784195153, -0.14678830522197214, 0.3770937280678849, 0.10644989827708953, 0.16100280244030396, -0.004890672554440721, 0.29475142556534273, 0.08627908416868497, 0.12866758164256514, 0.09211283596702899, 0.3612192161569391, 0.2113745284708913, 0.127027885420389, -0.31056659902690564, 0.12072104375546026, -0.03403679752661235] |
712.2286 | The PSU/TCfA Search for Planets Around Evolved Stars: Vsin(i)
Measurements for Slow Rotating F-K Giants | We present results of our projected rotational velocities (Vsin(i))
measurements of F, G and K giants obtained from the cross-correlation function
(CCF) constructed from high signal to noise spectra. We also present the
calibration of the HET/HRS cross-correlation function to determine accurate
projected rotational velocities Vsin(i) for slowly-rotating F-K giants.
| astro-ph | we present results of our projected rotational velocities vsini measurements of f g and k giants obtained from the crosscorrelation function ccf constructed from high signal to noise spectra we also present the calibration of the hethrs crosscorrelation function to determine accurate projected rotational velocities vsini for slowlyrotating fk giants | [['we', 'present', 'results', 'of', 'our', 'projected', 'rotational', 'velocities', 'vsini', 'measurements', 'of', 'f', 'g', 'and', 'k', 'giants', 'obtained', 'from', 'the', 'crosscorrelation', 'function', 'ccf', 'constructed', 'from', 'high', 'signal', 'to', 'noise', 'spectra', 'we', 'also', 'present', 'the', 'calibration', 'of', 'the', 'hethrs', 'crosscorrelation', 'function', 'to', 'determine', 'accurate', 'projected', 'rotational', 'velocities', 'vsini', 'for', 'slowlyrotating', 'fk', 'giants']] | [-0.09498184062540531, 0.10503430005162954, -0.10827628247439862, 0.04433603022247553, -0.10952247619628906, -0.06514293622225523, 0.0809743691328913, 0.44287648737430574, -0.17854677464812993, -0.36468241035938265, -0.032772152246907355, -0.27383287116885185, -0.042206707410514355, 0.22104777071624995, -0.022027357555925844, 0.04191434657201171, 0.13187188923358917, -0.03683066610246897, -0.13210048398002983, -0.20361574400216342, 0.23268473509699106, 0.016136826556175946, 0.14031751673668624, -0.11348011512309313, 0.10530710759107023, -0.07908414234407246, -0.11705762699246407, -0.0072112721204757695, -0.23645039381459354, 0.03332600485533476, 0.25560422442853453, 0.15961443500593306, 0.11972608052194118, -0.2272029482573271, -0.1721543218754232, 0.05510208455845714, 0.17169924329966307, 0.1109439734229818, -0.05348984114825726, -0.30625140842050314, 0.041578859351575376, -0.12105599286034703, -0.17414534052833916, -0.06641721617430449, 0.10099601425230503, 0.06281434886157512, -0.2661299810558557, 0.19374003909004386, -0.008703228570520877, 0.21319320410024376, -0.11560757002793252, -0.2659053407609463, -0.12166401968803257, 0.11073839324526488, -0.0146454300545156, 0.08108302506618202, 0.09601771063928027, -0.02964734336361289, 0.04671850670129061, 0.3549403256364167, -0.24005397845059634, -0.048524581491947175, 0.17163559477776288, -0.21674973585177212, -0.1471191855892539, 0.13062780542299152, 0.19374516839161515, 0.17722503058612346, -0.129465149063617, -0.05628314593923278, 0.019136142833158374, 0.20925116159021853, 0.055959884049370884, 0.01748903399333358, 0.23120931798126548, -0.023429220491088927, 0.06355696124956012, 0.08069773922208696, -0.31869584154337643, 0.10027580356225371, -0.22155072706751525, -0.06647666529024718, -0.22546912315301598, 0.047787229185923936, -0.15111700406268938, -0.11313622241839766, 0.3860691057902295, 0.16515182431787254, 0.22166819075122476, 0.15214861490763723, 0.345682927146554, 0.135667438255623, 0.065942687029019, 0.11842996990773827, 0.2748232313990593, 0.3020963900629431, 0.051293951980769636, -0.3108723810233641, -0.00886544371023774, 0.030751559888012706] |
712.2287 | The PennState/Toru\'n Center for Astronomy Search for Planets Around
Evolved Stars. Basic parameters of a sample of evolved stars | The objective of the PSU/TCfA Search for Planets Around Evolved Stars is to
study evolution of planetary systems in the stellar evolution timescale. For
such an analysis precise physical parameters of the hosts of the planetary
systems are essential. In this paper we present an attempt to obtain basic
physical parameters for a sample of evolved stars observed within our survey
with the High Resolution Spectrograph of the Hobby-Eberly Telescope.
| astro-ph | the objective of the psutcfa search for planets around evolved stars is to study evolution of planetary systems in the stellar evolution timescale for such an analysis precise physical parameters of the hosts of the planetary systems are essential in this paper we present an attempt to obtain basic physical parameters for a sample of evolved stars observed within our survey with the high resolution spectrograph of the hobbyeberly telescope | [['the', 'objective', 'of', 'the', 'psutcfa', 'search', 'for', 'planets', 'around', 'evolved', 'stars', 'is', 'to', 'study', 'evolution', 'of', 'planetary', 'systems', 'in', 'the', 'stellar', 'evolution', 'timescale', 'for', 'such', 'an', 'analysis', 'precise', 'physical', 'parameters', 'of', 'the', 'hosts', 'of', 'the', 'planetary', 'systems', 'are', 'essential', 'in', 'this', 'paper', 'we', 'present', 'an', 'attempt', 'to', 'obtain', 'basic', 'physical', 'parameters', 'for', 'a', 'sample', 'of', 'evolved', 'stars', 'observed', 'within', 'our', 'survey', 'with', 'the', 'high', 'resolution', 'spectrograph', 'of', 'the', 'hobbyeberly', 'telescope']] | [-0.11746535060144421, 0.08653628201590027, -0.10452466718582572, 0.04760698119745306, -0.11449328712795091, -0.015551707552125057, 0.034610323012347566, 0.3381530167399973, -0.15942301012008733, -0.4029754778181297, 0.08329958511529949, -0.24615171794658122, -0.09543380465196527, 0.219795801093046, -0.05860803370444995, 0.0492469473991651, 0.1293887788888769, -0.030554589424012363, -0.03801710075577316, -0.2676294845785352, 0.35828885946260847, 0.11310385379508353, 0.09602458136615113, -0.06607208932763424, 0.08382959562468519, -0.0864847996407121, -0.061814819280382086, -0.07244207848038903, -0.19960993581680933, 0.0886219129425244, 0.2657799081218031, 0.18021343593094227, 0.23773022734330615, -0.3612968893446479, -0.20297183805192565, 0.04640989919341561, 0.2056036149556546, 0.0367172295375275, -0.06047144063842901, -0.2443502854447866, 0.09728150280273479, -0.1394964482203342, -0.23113311299433312, 0.013241550048300322, 0.06846259313001149, 0.0613356612831948, -0.24777762819945381, 0.03244601981376932, 0.004296009766234868, 0.16257480144554723, -0.17802400842470967, -0.10599933022741174, -0.022946810570842437, 0.16979898139159533, -0.025102802096744595, 0.0014220921261964934, 0.09883457617294314, -0.14516352190960036, -0.01515830267706643, 0.4177414550567451, -0.08192676155949416, -0.037596673036561064, 0.23295835540562437, -0.18963919037554844, -0.1898589610270616, 0.08833861178414815, 0.24888740763392136, 0.17683473966367866, -0.22693792455222295, 0.007346053088110858, 0.0008147147490872421, 0.21183382428210715, -0.026538333062595433, 0.10516722470629906, 0.3189691525978455, 0.23004375082319198, 0.046087133664421846, 0.08223641604401064, -0.20719036564527862, -0.07744700597950081, -0.22951884438162265, -0.19183168569714695, -0.1329186846083705, 0.05899467421324411, -0.09171246018503672, -0.13399504459854486, 0.3998647718217926, 0.18370582315854836, 0.1853230079902552, 0.03562267752620729, 0.3100248947739601, 0.0890468043912931, 0.1081070525004812, 0.054615057856384396, 0.3189700641601846, 0.13881598203780426, 0.13024115200707878, -0.2673156162170504, 0.07488691513224141, -0.019066293440435245] |
712.2288 | CP Measurement in Quantum Teleportation of Neutral Mesons | Quantum teleportation using neutral pseudoscalar mesons shows novel
connections between particle physics and quantum information. The projection
basis, which is crucial in the teleportation process, is determined by the
conservation laws of particle physics, and is different from the Bell basis, as
in the usual case. Here we show that one can verify the teleportation process
by CP measurement. This method significantly simplifies the high energy quantum
teleportation protocol. Especially, it is rigorous, and is independent of
whether CP is violated in weak decays. This method can also be applied to
general verification of Einstein-Podolsky-Rosen correlations in particle
physics.
| hep-ph quant-ph | quantum teleportation using neutral pseudoscalar mesons shows novel connections between particle physics and quantum information the projection basis which is crucial in the teleportation process is determined by the conservation laws of particle physics and is different from the bell basis as in the usual case here we show that one can verify the teleportation process by cp measurement this method significantly simplifies the high energy quantum teleportation protocol especially it is rigorous and is independent of whether cp is violated in weak decays this method can also be applied to general verification of einsteinpodolskyrosen correlations in particle physics | [['quantum', 'teleportation', 'using', 'neutral', 'pseudoscalar', 'mesons', 'shows', 'novel', 'connections', 'between', 'particle', 'physics', 'and', 'quantum', 'information', 'the', 'projection', 'basis', 'which', 'is', 'crucial', 'in', 'the', 'teleportation', 'process', 'is', 'determined', 'by', 'the', 'conservation', 'laws', 'of', 'particle', 'physics', 'and', 'is', 'different', 'from', 'the', 'bell', 'basis', 'as', 'in', 'the', 'usual', 'case', 'here', 'we', 'show', 'that', 'one', 'can', 'verify', 'the', 'teleportation', 'process', 'by', 'cp', 'measurement', 'this', 'method', 'significantly', 'simplifies', 'the', 'high', 'energy', 'quantum', 'teleportation', 'protocol', 'especially', 'it', 'is', 'rigorous', 'and', 'is', 'independent', 'of', 'whether', 'cp', 'is', 'violated', 'in', 'weak', 'decays', 'this', 'method', 'can', 'also', 'be', 'applied', 'to', 'general', 'verification', 'of', 'einsteinpodolskyrosen', 'correlations', 'in', 'particle', 'physics']] | [-0.07178599643756194, 0.22380731116528763, -0.13362428114627195, 0.0928769537515311, -0.026108004681935363, -0.24435660177183272, 0.04032618869354741, 0.3003767826500339, -0.2848105397603252, -0.2860801780709263, 0.017008697510593467, -0.231796215664633, -0.10953835401721675, 0.1936425952548914, -0.03454996097475441, 0.1309580408986846, 0.07593644951644231, -0.0003403810586667422, -0.04801657638568996, -0.21806817718856789, 0.3031985364440415, 0.06411972889474434, 0.32836217912045695, 0.10121460201568852, 0.0609022373418239, 0.033924392605614334, -0.022080448587810754, -0.03236098728387268, -0.07015097458093401, 0.053776419688618245, 0.242474453041631, 0.17691762884424686, 0.22091898029538418, -0.3795333011358073, -0.167499599867792, 0.11523730846973268, 0.15181098661898174, 0.16633120253611583, -0.05703652195039798, -0.32261587153753324, 0.025434663989628205, -0.17053457358475738, -0.06851698732388092, -0.1184319292308029, -0.01020711873460448, -0.04503999598267855, -0.2806581542362704, 0.1387335762844275, 0.03377388609629689, 0.027297853467506215, 0.05151137634359225, -0.04860889869201176, 0.044304165857458354, 0.07763298102560444, 0.004843694554768841, 0.0189337872293298, 0.1661759786157295, -0.14342981923578513, -0.19715841798431644, 0.40995570411435284, -0.022639304053772128, -0.26558702818742447, 0.157913200434937, -0.14943224448484904, -0.13767982145884272, 0.051167957795163, 0.12295563514767723, 0.07985537419227337, -0.17306695232459465, 0.09298821225247318, -0.05832281616525819, 0.17534514309631455, 0.0317025371507337, 0.08820214138349819, 0.19107074610362149, 0.14092596819756006, 0.06370157460597428, 0.12845449992384989, -0.05412873914794564, -0.15367864592546465, -0.3729905373219288, -0.2508988663685894, -0.25025535519517056, 0.07324982786814523, -0.06420989626635812, -0.04944164180808296, 0.3893274501568139, 0.1446552068992245, 0.11532553298530554, -0.05071360798378597, 0.3083492115027074, 0.1457020706588854, 0.02430775375434696, 0.06741461002725327, 0.31852759349376264, 0.19028849176817922, 0.12864824413613538, -0.23799421501138973, 0.08374235762113874, 0.054684625456410674] |
712.2289 | Non-equilibrium thermodynamics near the horizon and holography | Small perturbations of a black brane are interpreted as small deviations from
thermodynamic equilibrium in a dual theory with the AdS/CFT correspondence. In
this paper, we calculate hydrodynamics of the dual Yang-Mills theory in the
gravity side using membrane paradigm. This method is different from the usual
AdS/CFT correspondence and evaluate classical solutions not at boundaries but
at the place slightly away from a horizon. There are sound modes or shear modes
for gravity perturbation. For sound modes, such calculation at the horizon has
not yet been done. Then, we find that boundary stress tensor at the horizon
satisfies conservation law in flat space and can represent dissipative parts of
stress tensor in the dual theory by holography. Using them, we can read off
directly shear and bulk viscosity of the dual theory. Quasinormal modes are
solutions to linearized equations obeyed by classical fluctuations of a
gravitational background subject to specific boundary conditions and are also
gauge-invariant quantities. We use solutions for each fluctuation that compose
such quantities and show that quasinormal modes are consistent with the
membrane paradigm.
| hep-th gr-qc | small perturbations of a black brane are interpreted as small deviations from thermodynamic equilibrium in a dual theory with the adscft correspondence in this paper we calculate hydrodynamics of the dual yangmills theory in the gravity side using membrane paradigm this method is different from the usual adscft correspondence and evaluate classical solutions not at boundaries but at the place slightly away from a horizon there are sound modes or shear modes for gravity perturbation for sound modes such calculation at the horizon has not yet been done then we find that boundary stress tensor at the horizon satisfies conservation law in flat space and can represent dissipative parts of stress tensor in the dual theory by holography using them we can read off directly shear and bulk viscosity of the dual theory quasinormal modes are solutions to linearized equations obeyed by classical fluctuations of a gravitational background subject to specific boundary conditions and are also gaugeinvariant quantities we use solutions for each fluctuation that compose such quantities and show that quasinormal modes are consistent with the membrane paradigm | [['small', 'perturbations', 'of', 'a', 'black', 'brane', 'are', 'interpreted', 'as', 'small', 'deviations', 'from', 'thermodynamic', 'equilibrium', 'in', 'a', 'dual', 'theory', 'with', 'the', 'adscft', 'correspondence', 'in', 'this', 'paper', 'we', 'calculate', 'hydrodynamics', 'of', 'the', 'dual', 'yangmills', 'theory', 'in', 'the', 'gravity', 'side', 'using', 'membrane', 'paradigm', 'this', 'method', 'is', 'different', 'from', 'the', 'usual', 'adscft', 'correspondence', 'and', 'evaluate', 'classical', 'solutions', 'not', 'at', 'boundaries', 'but', 'at', 'the', 'place', 'slightly', 'away', 'from', 'a', 'horizon', 'there', 'are', 'sound', 'modes', 'or', 'shear', 'modes', 'for', 'gravity', 'perturbation', 'for', 'sound', 'modes', 'such', 'calculation', 'at', 'the', 'horizon', 'has', 'not', 'yet', 'been', 'done', 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-0.05811491118634755, 0.1316911691602049] |
712.229 | Irreducible plane sextics with large fundamental groups | We compute the fundamental group of the complement of each irreducible sextic
of weight eight or nine (in a sense, the largest groups for irreducible
sextics), as well as of 169 of their derivatives (both of and not of torus
type). We also give a detailed geometric description of sextics of weight eight
and nine and of their moduli spaces and compute their Alexander modules; the
latter are shown to be free over an appropriate ring.
| math.AG | we compute the fundamental group of the complement of each irreducible sextic of weight eight or nine in a sense the largest groups for irreducible sextics as well as of 169 of their derivatives both of and not of torus type we also give a detailed geometric description of sextics of weight eight and nine and of their moduli spaces and compute their alexander modules the latter are shown to be free over an appropriate ring | [['we', 'compute', 'the', 'fundamental', 'group', 'of', 'the', 'complement', 'of', 'each', 'irreducible', 'sextic', 'of', 'weight', 'eight', 'or', 'nine', 'in', 'a', 'sense', 'the', 'largest', 'groups', 'for', 'irreducible', 'sextics', 'as', 'well', 'as', 'of', '169', 'of', 'their', 'derivatives', 'both', 'of', 'and', 'not', 'of', 'torus', 'type', 'we', 'also', 'give', 'a', 'detailed', 'geometric', 'description', 'of', 'sextics', 'of', 'weight', 'eight', 'and', 'nine', 'and', 'of', 'their', 'moduli', 'spaces', 'and', 'compute', 'their', 'alexander', 'modules', 'the', 'latter', 'are', 'shown', 'to', 'be', 'free', 'over', 'an', 'appropriate', 'ring']] | [-0.1793346058647761, 0.05631569211273975, -0.08165951594587807, 0.038455562935651916, -0.0951706898325172, -0.09389899400258928, 0.012389686589717473, 0.37223946303129196, -0.2842889308108409, -0.26363106044989665, 0.1422094472999513, -0.24022658274043351, -0.1515796969822412, 0.23401177056611663, -0.06158421728086021, -0.022867603371483518, 0.014922855250341328, 0.13084497296643494, -0.1063499808139903, -0.32578784443045916, 0.3741039961184326, 0.003135578461775654, 0.17394650008186305, 0.018154233395379332, 0.11808914233513765, 0.034445908352561096, -0.11458140081039776, -0.03389488274574672, -0.1260189240688066, 0.16785459034451233, 0.269780281183653, 0.06096101763021005, 0.16602605542069987, -0.3544197944716679, -0.1102659268071875, 0.1858156196111323, 0.1526501458015685, 0.011098557611388204, 0.05114351626559112, -0.18355236383841225, 0.07188002946541498, -0.21857767259260932, -0.18157314482194029, -0.1067616336023141, 0.0646458369630732, 0.0771361849221744, -0.15776712947378033, 0.0022687662119431863, 0.04423883181267516, 0.12260574210239084, -0.12966915751243696, -0.16823981552825948, -0.09021318853085272, 0.15680064655852652, -0.011688108237362221, -0.004090114410868601, 0.07079491158334636, -0.15344341245087745, -0.12120165631916423, 0.4247733791309752, -0.03806859631042339, -0.2004096641597387, 0.1833563255097129, -0.157060653387912, -0.14067778498007866, 0.1582180037971978, 0.10979896044897798, 0.1555612557567656, -0.08367973629777369, 0.09368703279975116, -0.07818610123113583, 0.06588620685751696, 0.08800824994441907, 0.06285397529504017, 0.17138226367043038, 0.05566618601350408, 0.04640574322586058, 0.14303831764539754, -0.03416069176991617, -0.0130468454283944, -0.3549038364649995, -0.22743760592206136, -0.11992172030486951, 0.07772393603399426, -0.11276236494411837, -0.20837920233048193, 0.4693360807080018, 0.016999141288627135, 0.2232537813435652, 0.09335051420547595, 0.18272062768473438, 0.024294042319525033, 0.07531137638541527, 0.035472161589974634, 0.18533865999626487, 0.19251150401970862, -0.06458126367100417, -0.1572437408000329, -0.029668050863332802, 0.14001261186785996] |
712.2291 | Phase Structure and Critical Behavior of Multi-Higgs U(1) Lattice Gauge
Theory in Three Dimensions | We study the three-dimensional (3D) compact U(1) lattice gauge theory coupled
with $N$-flavor Higgs fields by means of the Monte Carlo simulations. This
model is relevant to multi-component superconductors, antiferromagnetic spin
systems in easy plane, inflational cosmology, etc. It is known that there is no
phase transition in the N=1 model. For N=2, we found that the system has a
second-order phase transition line $\tilde{c}_1(c_2)$ in the $c_2$(gauge
coupling)$-c_1$(Higgs coupling) plane, which separates the confinement phase
and the Higgs phase. Numerical results suggest that the phase transition
belongs to the universality class of the 3D XY model as the previous works by
Babaev et al. and Smiseth et al. suggested. For N=3, we found that there exists
a critical line similar to that in the N=2 model, but the critical line is
separated into two parts; one for $c_2 < c_{2{\rm tc}}=2.4\pm 0.1$ with
first-order transitions, and the other for $ c_{2{\rm tc}} < c_2$ with
second-order transitions, indicating the existence of a tricritical point. We
verified that similar phase diagram appears for the N=4 and N=5 systems. We
also studied the case of anistropic Higgs coupling in the N=3 model and found
that there appear two second-order phase transitions or a single second-order
transition and a crossover depending on the values of the anisotropic Higgs
couplings. This result indicates that an "enhancement" of phase transition
occurs when multiple phase transitions coincide at a certain point in the
parameter space.
| hep-lat astro-ph cond-mat.str-el | we study the threedimensional 3d compact u1 lattice gauge theory coupled with nflavor higgs fields by means of the monte carlo simulations this model is relevant to multicomponent superconductors antiferromagnetic spin systems in easy plane inflational cosmology etc it is known that there is no phase transition in the n1 model for n2 we found that the system has a secondorder phase transition line tildec_1c_2 in the c_2gauge couplingc_1higgs coupling plane which separates the confinement phase and the higgs phase numerical results suggest that the phase transition belongs to the universality class of the 3d xy model as the previous works by babaev et al and smiseth et al suggested for n3 we found that there exists a critical line similar to that in the n2 model but the critical line is separated into two parts one for c_2 c_2rm tc24pm 01 with firstorder transitions and the other for c_2rm tc c_2 with secondorder transitions indicating the existence of a tricritical point we verified that similar phase diagram appears for the n4 and n5 systems we also studied the case of anistropic higgs coupling in the n3 model and found that there appear two secondorder phase transitions or a single secondorder transition and a crossover depending on the values of the anisotropic higgs couplings this result indicates that an enhancement of phase transition occurs when multiple phase transitions coincide at a certain point in the parameter space | [['we', 'study', 'the', 'threedimensional', '3d', 'compact', 'u1', 'lattice', 'gauge', 'theory', 'coupled', 'with', 'nflavor', 'higgs', 'fields', 'by', 'means', 'of', 'the', 'monte', 'carlo', 'simulations', 'this', 'model', 'is', 'relevant', 'to', 'multicomponent', 'superconductors', 'antiferromagnetic', 'spin', 'systems', 'in', 'easy', 'plane', 'inflational', 'cosmology', 'etc', 'it', 'is', 'known', 'that', 'there', 'is', 'no', 'phase', 'transition', 'in', 'the', 'n1', 'model', 'for', 'n2', 'we', 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712.2292 | QCD factorization at twist-3: the two parton contributions | In this paper, the twist-3 two parton corrections in charmless $B\to PP$
decays are shown to be factorizable under the QCD factorization approach. The
factorizability of the twist-3 two parton corrections is constructed on the
following findings. Under the energetic meson limit, the pseudoscalar
distribution amplitude for a light pseudoscalar meson is allowed to be
non-constant by the equations of motion for the quark. The non-constant
pseudoscalar distribution amplitude is then used to regularize the end-point
divergences in the hard spectator corrections at twist-3 order. By retaining
the momentum fraction variable of the spectator quark of the $B$ meson in the
propagators, the end-point divergence in the weak annihilation corrections at
twist-3 order is resolved. The factorization of the $O(\alpha_s)$ corrections
under the two parton approximation is shown valid up-to $O(1/m_b)$ . The hard
scattering kernels of order $O(\alpha_s)$ and $O(\Lambda_{QCD}/m_b)$ are
explicitly given and found to be infrared finite. The results are applied for
making predictions for the branching ratios of $B\to \pi K $ decays.
| hep-ph | in this paper the twist3 two parton corrections in charmless bto pp decays are shown to be factorizable under the qcd factorization approach the factorizability of the twist3 two parton corrections is constructed on the following findings under the energetic meson limit the pseudoscalar distribution amplitude for a light pseudoscalar meson is allowed to be nonconstant by the equations of motion for the quark the nonconstant pseudoscalar distribution amplitude is then used to regularize the endpoint divergences in the hard spectator corrections at twist3 order by retaining the momentum fraction variable of the spectator quark of the b meson in the propagators the endpoint divergence in the weak annihilation corrections at twist3 order is resolved the factorization of the oalpha_s corrections under the two parton approximation is shown valid upto o1m_b the hard scattering kernels of order oalpha_s and olambda_qcdm_b are explicitly given and found to be infrared finite the results are applied for making predictions for the branching ratios of bto pi k decays | [['in', 'this', 'paper', 'the', 'twist3', 'two', 'parton', 'corrections', 'in', 'charmless', 'bto', 'pp', 'decays', 'are', 'shown', 'to', 'be', 'factorizable', 'under', 'the', 'qcd', 'factorization', 'approach', 'the', 'factorizability', 'of', 'the', 'twist3', 'two', 'parton', 'corrections', 'is', 'constructed', 'on', 'the', 'following', 'findings', 'under', 'the', 'energetic', 'meson', 'limit', 'the', 'pseudoscalar', 'distribution', 'amplitude', 'for', 'a', 'light', 'pseudoscalar', 'meson', 'is', 'allowed', 'to', 'be', 'nonconstant', 'by', 'the', 'equations', 'of', 'motion', 'for', 'the', 'quark', 'the', 'nonconstant', 'pseudoscalar', 'distribution', 'amplitude', 'is', 'then', 'used', 'to', 'regularize', 'the', 'endpoint', 'divergences', 'in', 'the', 'hard', 'spectator', 'corrections', 'at', 'twist3', 'order', 'by', 'retaining', 'the', 'momentum', 'fraction', 'variable', 'of', 'the', 'spectator', 'quark', 'of', 'the', 'b', 'meson', 'in', 'the', 'propagators', 'the', 'endpoint', 'divergence', 'in', 'the', 'weak', 'annihilation', 'corrections', 'at', 'twist3', 'order', 'is', 'resolved', 'the', 'factorization', 'of', 'the', 'oalpha_s', 'corrections', 'under', 'the', 'two', 'parton', 'approximation', 'is', 'shown', 'valid', 'upto', 'o1m_b', 'the', 'hard', 'scattering', 'kernels', 'of', 'order', 'oalpha_s', 'and', 'olambda_qcdm_b', 'are', 'explicitly', 'given', 'and', 'found', 'to', 'be', 'infrared', 'finite', 'the', 'results', 'are', 'applied', 'for', 'making', 'predictions', 'for', 'the', 'branching', 'ratios', 'of', 'bto', 'pi', 'k', 'decays']] | [-0.07035938433191183, 0.2625024666095425, -0.14740991280641316, 0.1809628455922371, -0.05973258850210142, -0.0491125399996413, 0.020499599440926233, 0.33351896289117045, -0.20871679617160158, -0.1299153099733791, -0.04611189929248833, -0.3487528180078853, -0.005840462561492331, 0.08012272847749623, 0.0717731714447415, 0.16042634165028063, 0.050989298073989456, 0.008575988581358659, -0.060555801988102315, -0.2512211920409577, 0.3676815489647774, -0.03746621020453437, 0.18808346259316838, 0.1755955170463095, 0.0067482098352118595, 0.0371982015295965, -0.07553973907275444, -0.06397379132089909, -0.08857397512084146, 0.041353140110803044, 0.22251902093646606, 0.016830769285173495, 0.10030117884445822, -0.3376951326812027, -0.08685722191982743, 0.1057208644044472, 0.16380317053450952, 0.0819095650960396, 0.060484633209587, -0.2778635588758511, 0.0923473812815756, -0.1974825805745928, -0.12415598029634212, -0.15189653571706446, -0.004823575875290283, -0.06782703397748707, -0.41059442124153467, 0.0808768555857014, -0.03542277989653507, -0.04950698954763073, 0.0024017585248391074, -0.2247471057141921, -0.0038061373719445817, 0.03585263128994351, 0.14789561820273264, 0.13008841612694286, 0.13811888691128754, -0.2060861533902381, -0.1482715267796643, 0.43183781181621117, -0.05623484480623497, -0.22214312743531858, 0.036471025121012114, -0.22137243425609862, -0.1708232226083055, 0.1945305084525721, 0.191300048162059, 0.10124197193966587, -0.22514610094154572, 0.17199713832673208, 0.023371253562977583, 0.1421976601932107, 0.1429431849619283, 0.065353643061826, 0.15137211614140741, 0.09551388486969943, -0.05494189876551944, 0.1037587977302681, -0.07361280879931434, -0.12004232328248823, -0.4337740475425451, -0.06747780503171337, -0.09894459420338092, 0.0847328324268413, -0.13975493460535157, -0.13260495058074878, 0.36250239314238836, 0.08343798822507535, 0.22280159200081692, 0.049159145331941545, 0.3441961214752732, 0.16884723229925772, 0.07596290422349362, 0.11059067187626369, 0.2931774088022549, 0.22481566979038733, 0.13498517286483902, -0.3115456620246, 0.06144804164778623, 0.11654134638175913] |
712.2293 | Representation theory of the $\alpha$-determinant and zonal spherical
functions | We prove that the multiplicity of each irreducible component in the
$\mathcal{U}(\mathfrak{gl}_n)$-cyclic module generated by the $l$-th power
$\det^{(\alpha)}(X)^l$ of the $\alpha$-determinant is given by the rank of a
matrix whose entries are given by a variation of the spherical Fourier
transformation for $(\mathfrak{S}_{nl},\mathfrak{S}_l^n)$. Further, we
calculate the matrix explicitly when $n=2$. This gives not only another proof
of the result by Kimoto-Matsumoto-Wakayama (2007) but also a new aspect of the
representation theory of the $\alpha$-determinants.
| math.RT | we prove that the multiplicity of each irreducible component in the mathcalumathfrakgl_ncyclic module generated by the lth power detalphaxl of the alphadeterminant is given by the rank of a matrix whose entries are given by a variation of the spherical fourier transformation for mathfraks_nlmathfraks_ln further we calculate the matrix explicitly when n2 this gives not only another proof of the result by kimotomatsumotowakayama 2007 but also a new aspect of the representation theory of the alphadeterminants | [['we', 'prove', 'that', 'the', 'multiplicity', 'of', 'each', 'irreducible', 'component', 'in', 'the', 'mathcalumathfrakgl_ncyclic', 'module', 'generated', 'by', 'the', 'lth', 'power', 'detalphaxl', 'of', 'the', 'alphadeterminant', 'is', 'given', 'by', 'the', 'rank', 'of', 'a', 'matrix', 'whose', 'entries', 'are', 'given', 'by', 'a', 'variation', 'of', 'the', 'spherical', 'fourier', 'transformation', 'for', 'mathfraks_nlmathfraks_ln', 'further', 'we', 'calculate', 'the', 'matrix', 'explicitly', 'when', 'n2', 'this', 'gives', 'not', 'only', 'another', 'proof', 'of', 'the', 'result', 'by', 'kimotomatsumotowakayama', '2007', 'but', 'also', 'a', 'new', 'aspect', 'of', 'the', 'representation', 'theory', 'of', 'the', 'alphadeterminants']] | [-0.10890661928028812, 0.12000046356607386, -0.09108827896678531, -0.0021753795182620976, -0.022106569857192292, -0.08931312813016941, 0.011765459762282774, 0.29352603776669, -0.2982621541981336, -0.2433614145544633, 0.12156522056763389, -0.2300055286729, -0.19432291576087896, 0.15370020228372494, -0.06884138058611966, -0.0115725387438712, 0.045478758500547896, 0.12635238653271866, -0.08834380740103062, -0.2658322984746224, 0.3765853595736266, 0.039086852681783725, 0.21182143890207084, 0.03848155029118061, 0.1375037398530354, 0.051473448926937095, -0.0685517267835602, -0.004908697476321963, -0.07201690034349334, 0.17284419669435216, 0.2167430864122342, 0.1397911128751986, 0.23160622964127803, -0.36732507995526553, -0.1442503732379893, 0.13363381607038244, 0.11233206877065166, 0.062371394151008466, -0.030438148472326954, -0.23043012233372306, 0.14304803770271615, -0.20150566334560724, -0.14313410534720186, -0.044354738123242705, 0.06221855610353269, 0.016153963099063282, -0.2943461738382532, 0.04376896089704299, 0.13597761299198782, 0.0529139763610044, -0.040068134032583365, -0.13031484831360654, -0.00853789894526798, 0.1083586021497826, 0.03782411343024545, 0.005409809262295004, 0.06521993584301271, -0.12245616034447203, -0.08215786485267068, 0.35812923726691326, -0.041415321148774574, -0.23760107492791935, 0.0892984085047329, -0.17169557884335518, -0.123845402826883, 0.1397898098663755, 0.10422622958119486, 0.09768647869801293, -0.09566530679507529, 0.13677940173336947, -0.12085359556679155, 0.17709825573567772, 0.06539004679743043, -0.04007436390835005, 0.14111549277383256, 0.06949196952972299, 0.06260687522721332, 0.15953226424228978, -0.032060097325855574, -0.002199546938998179, -0.34594445758249975, -0.19518193815060905, -0.2483702169888666, 0.06062553876467397, -0.12304216858760363, -0.16864958004107777, 0.47790363019096177, 0.07155666513447191, 0.24760038786056177, 0.08552102371394424, 0.2788897600602096, 0.1790679806948338, 0.06308236914280226, 0.05416252422736774, 0.1887266207486391, 0.16694848668354917, 0.03541413947782466, -0.18509439483914578, 0.04963806089551621, 0.16975437007634572] |
712.2294 | On the Solar System-Debris Disk Connecction | This paper emphasizes the connection between solar and extra-solar debris
disks: how models and observations of the Solar System are helping us
understand the debris disk phenomenon, and vice versa, how debris disks are
helping us place our Solar System into context.
| astro-ph | this paper emphasizes the connection between solar and extrasolar debris disks how models and observations of the solar system are helping us understand the debris disk phenomenon and vice versa how debris disks are helping us place our solar system into context | [['this', 'paper', 'emphasizes', 'the', 'connection', 'between', 'solar', 'and', 'extrasolar', 'debris', 'disks', 'how', 'models', 'and', 'observations', 'of', 'the', 'solar', 'system', 'are', 'helping', 'us', 'understand', 'the', 'debris', 'disk', 'phenomenon', 'and', 'vice', 'versa', 'how', 'debris', 'disks', 'are', 'helping', 'us', 'place', 'our', 'solar', 'system', 'into', 'context']] | [-0.0646595190101791, 0.12137833517044783, -0.0873351040451477, 0.13345543834813206, -0.20845505706078948, -0.04877734432617823, 0.044323876924214085, 0.3250143425982623, -0.23138851455102363, -0.3891251514710131, 0.05361903370136306, -0.2802527816966176, -0.2153452624167715, 0.1924754905381373, -0.1192461864224502, -0.03352937532500142, 0.10536764393604937, -0.18274897932341055, 0.032158021815121174, -0.257985462700682, 0.3090352411603644, 0.14188749213229, 0.013415168394290265, -0.04237389254073302, -0.006846409213418762, -0.1521701167248899, -0.06369602824339554, -0.10784318244882993, -0.22123998755566954, 0.11744725888240196, 0.2723305525208464, 0.19066530866326675, 0.24281066307975424, -0.5156478057837203, -0.20812761005280273, 0.08137630325342927, 0.20471139674607133, -0.054857141648729645, -0.01841997384049353, -0.24817330062034584, 0.04665342013218573, -0.1666153963832628, -0.1558801355949115, 0.005612983900521483, 0.022437170813126222, -0.0330863602991615, -0.2131715035287752, -0.013337193788694484, 0.1742426554361979, 0.07971878795485411, -0.17750273070054218, -0.02358370147357207, -0.06696343872352459, 0.235897783766545, 0.06807377437750499, -0.01971164291414122, 0.20879303535357827, -0.06651984845354621, -0.015875649638473988, 0.4303465097189127, -0.0030471777821990793, -0.06892656437447017, 0.33518924728213323, -0.2747087762469337, -0.08655883853013317, 0.06793107347385514, 0.23545026829067087, 0.08283282363499027, -0.13921492012395037, 0.027884048904525116, -0.07381278245399396, 0.1706542516393321, 0.05159886048308441, 0.08883292804516497, 0.4869676014142377, 0.14014681994116732, 0.043981983714426555, 0.14207728974343764, -0.19530688849322142, -0.16768202391852224, -0.15079414436504954, -0.2340752126072489, -0.050158522402246795, 0.011189273403336605, -0.08834148106238683, -0.05336041744088843, 0.38088179501660524, 0.22016997138659158, 0.21414434572770483, -0.015932793828791807, 0.3303777219372846, 0.028705472206985133, 0.02868142222896928, 0.09272561024963147, 0.2946739990064608, 0.1739660951619347, 0.22225927384126754, -0.26964442615973805, 0.0974790464221899, 0.013384497059243066] |
712.2295 | Efficient One-way Quantum Computations for Quantum Error Correction | We show how to explicitly construct an $O(nd)$ size and constant quantum
depth circuit which encodes any given $n$-qubit stabilizer code with $d$
generators. Our construction is derived using the graphic description for
stabilizer codes and the one-way quantum computation model. Our result
demonstrates how to use cluster states as scalable resources for many
multi-qubit entangled states and how to use the one-way quantum computation
model to improve design of quantum algorithms.
| quant-ph | we show how to explicitly construct an ond size and constant quantum depth circuit which encodes any given nqubit stabilizer code with d generators our construction is derived using the graphic description for stabilizer codes and the oneway quantum computation model our result demonstrates how to use cluster states as scalable resources for many multiqubit entangled states and how to use the oneway quantum computation model to improve design of quantum algorithms | [['we', 'show', 'how', 'to', 'explicitly', 'construct', 'an', 'ond', 'size', 'and', 'constant', 'quantum', 'depth', 'circuit', 'which', 'encodes', 'any', 'given', 'nqubit', 'stabilizer', 'code', 'with', 'd', 'generators', 'our', 'construction', 'is', 'derived', 'using', 'the', 'graphic', 'description', 'for', 'stabilizer', 'codes', 'and', 'the', 'oneway', 'quantum', 'computation', 'model', 'our', 'result', 'demonstrates', 'how', 'to', 'use', 'cluster', 'states', 'as', 'scalable', 'resources', 'for', 'many', 'multiqubit', 'entangled', 'states', 'and', 'how', 'to', 'use', 'the', 'oneway', 'quantum', 'computation', 'model', 'to', 'improve', 'design', 'of', 'quantum', 'algorithms']] | [-0.09097529326229253, 0.1339594031146084, -0.05578873532875958, 0.03384342035052315, -0.022575806076121, -0.26109818268256885, 0.06372849953671296, 0.3675443372533967, -0.30438103760308066, -0.3106222619664752, 0.023317916519267276, -0.19868916710321274, -0.16227023803367047, 0.2690780767200825, -0.08364216063556443, 0.14785528110547197, 0.10777576367116934, 0.021375681480599776, -0.07852708860041781, -0.3124207383435633, 0.266979452245222, 0.07412329647761201, 0.29195627104490995, 0.022464377934940986, 0.08874712665824012, 0.03052613773130967, 0.032843919289815754, -0.059143520843160026, -0.14686363307474595, 0.1543891022738535, 0.29844395617449965, 0.22506367787718773, 0.17240806059756628, -0.42363203287176376, -0.18980509422666123, 0.08600492443656549, 0.11067965139065766, 0.25996567327496856, -0.013810087946088364, -0.2705583289918852, 0.09168922632751572, -0.2165144826285541, -0.09946664611601995, -0.15380780392378154, 0.029121069263459906, -0.0945237656059261, -0.24546845686078692, -0.03818467352862677, 0.051493912676556244, 0.02833607406015896, 0.047600021831587784, -0.04813926238178586, 0.027920859639481124, 0.17059408110152516, -0.15915624975200948, 0.032544829222994544, 0.14718040607921365, -0.09617057191725406, -0.25257595275454353, 0.3668827894919862, -0.014871884641858438, -0.2597725727440168, 0.13110326630218574, -0.021712976061583806, -0.1304031445696536, -0.008781980878363052, 0.16325445909104827, 0.04819437886019134, -0.06366289392786308, 0.11741137981637924, -0.03210538539052424, 0.24056710802122122, 0.026983411365007568, 0.1525723475109165, 0.11038776223237316, 0.043006613818255976, 0.07333697588748894, 0.22213246775532347, -0.011087037823421674, -0.14900638569896626, -0.34536704732131007, -0.2192770908752411, -0.2577692314775454, 0.08713749761227518, -0.07870502088856786, -0.19145388363136184, 0.3978337421366531, 0.1627051314054471, 0.11830947722773999, 0.13346202621566286, 0.30250459613226766, 0.07104624245645634, 0.07669533096163327, 0.2052706822222616, 0.12484253337283412, 0.18283519806573167, -0.00973524273528407, -0.2693700825249026, 0.03996792373557886, 0.07306475361434019] |
712.2296 | Lusztig's conjecture for finite classical groups with even
characteristic | The determination of scalars involved in Lusztig's conjecture for finite
reductive groups $G(F_q)$ was achieved by Waldspurger in the case of symplectic
groups or orthogonal groups, under the condition that $p,q$ are large enough.
Here $p$ is the characteristic of the finite field $F_q$. In this paper, we
determine the scalars in the case of symplectic groups with $p = 2$, by
applying the theory of symmetric spaces over a finite field due to Kawanaka and
Lusztig. We also obtain a partial result in the case of special orthogonal
groups with $p = 2$.
| math.RT | the determination of scalars involved in lusztigs conjecture for finite reductive groups gf_q was achieved by waldspurger in the case of symplectic groups or orthogonal groups under the condition that pq are large enough here p is the characteristic of the finite field f_q in this paper we determine the scalars in the case of symplectic groups with p 2 by applying the theory of symmetric spaces over a finite field due to kawanaka and lusztig we also obtain a partial result in the case of special orthogonal groups with p 2 | [['the', 'determination', 'of', 'scalars', 'involved', 'in', 'lusztigs', 'conjecture', 'for', 'finite', 'reductive', 'groups', 'gf_q', 'was', 'achieved', 'by', 'waldspurger', 'in', 'the', 'case', 'of', 'symplectic', 'groups', 'or', 'orthogonal', 'groups', 'under', 'the', 'condition', 'that', 'pq', 'are', 'large', 'enough', 'here', 'p', 'is', 'the', 'characteristic', 'of', 'the', 'finite', 'field', 'f_q', 'in', 'this', 'paper', 'we', 'determine', 'the', 'scalars', 'in', 'the', 'case', 'of', 'symplectic', 'groups', 'with', 'p', '2', 'by', 'applying', 'the', 'theory', 'of', 'symmetric', 'spaces', 'over', 'a', 'finite', 'field', 'due', 'to', 'kawanaka', 'and', 'lusztig', 'we', 'also', 'obtain', 'a', 'partial', 'result', 'in', 'the', 'case', 'of', 'special', 'orthogonal', 'groups', 'with', 'p', '2']] | [-0.21102198086294305, 0.15082759796844228, -0.10261717709996131, 0.03278711474622074, -0.0584278821175837, -0.12532679349912898, 0.014857741604235185, 0.32112661860478314, -0.26183730748522543, -0.22909005613916594, 0.07359921779235541, -0.1743216747418046, -0.12457705048196342, 0.20054320555494126, -0.11658427349554942, -0.030346783981456057, 0.004839636638517613, 0.1137972242988484, -0.099436117728423, -0.3409475883134924, 0.42595369010814466, -0.04203463891399619, 0.2380291067276393, 0.022302353705922345, 0.04896411430799281, 0.05502175827227209, -0.03705944131007013, -0.02633992994568594, -0.1030353622378322, 0.11500445867726661, 0.32274271841363417, 0.027052981100733512, 0.23419537440033467, -0.36422007468164613, -0.14938525321802287, 0.20093573505848483, 0.14593471690465737, 0.07471916641604723, -0.0414017620091529, -0.2707973885091791, 0.16565359274492317, -0.18178163945634404, -0.16995475103106836, -0.033050070881195694, 0.05859815022647482, 0.004184866987128296, -0.2726659921159887, 0.039872527392973374, 0.09646793951928291, 0.15466097895430564, -0.07453008416949002, -0.1288781109792383, 0.018729904909496723, 0.07772504820984424, 0.054597270014473114, 0.03792499662781863, 0.03982428393488669, -0.08451475761071577, -0.10643459245076646, 0.42180879927321296, -0.059486809759856325, -0.2315078082939853, 0.10439269091812489, -0.21196514768424726, -0.1666657708575139, 0.12553446660066306, 0.12173351708232709, 0.15533369128167143, 0.005117351422086358, 0.2167229659585839, -0.1324322128303997, 0.0416332058084663, 0.11610103360599959, -0.0529578496150308, 0.08196584906988352, 0.02918484369697778, 0.06314596808110566, 0.11944224695553599, 0.013714160674008663, 0.008359260708422644, -0.34930321339355863, -0.18762540441694792, -0.11614240632068527, 0.10437789322737523, -0.10726666574903546, -0.12632487827922095, 0.3829406513630048, 0.050452502500063376, 0.14090590215915733, 0.098141382418006, 0.1964664923472573, 0.06883499103233866, 0.07072770398150643, 0.024369909273683214, 0.13234415449930922, 0.2867087198107544, -0.015342845689029555, -0.17421401177188786, -0.05063576070065408, 0.15376701173575028] |
712.2297 | A HET search for planets around evolved stars | We present our ongoing survey of ~1000 GK-giants with the 9.2-m Hobby-Eberly
Telescope in search for planets around evolved stars. The stars selected for
this survey are brighter than 11 mag and are located in the section of the
HR-diagram, which is approximately delimited by the main sequence, the
instability strip, and the coronal dividing line. We use the High Resolution
Spectrograph to obtain stellar spectra for radial velocity measurements with a
4-6 m/s precision. So far, the survey has discovered a planetary-mass companion
to the K0-giant HD 17092, and it has produced a number of plausible planet
candidates around other stars. Together with other similar efforts, our program
provides information on planet formation around intermediate mass main
sequence-progenitors and it will create the experimental basis with which to
study dynamics of planetary systems around evolving stars.
| astro-ph | we present our ongoing survey of 1000 gkgiants with the 92m hobbyeberly telescope in search for planets around evolved stars the stars selected for this survey are brighter than 11 mag and are located in the section of the hrdiagram which is approximately delimited by the main sequence the instability strip and the coronal dividing line we use the high resolution spectrograph to obtain stellar spectra for radial velocity measurements with a 46 ms precision so far the survey has discovered a planetarymass companion to the k0giant hd 17092 and it has produced a number of plausible planet candidates around other stars together with other similar efforts our program provides information on planet formation around intermediate mass main sequenceprogenitors and it will create the experimental basis with which to study dynamics of planetary systems around evolving stars | [['we', 'present', 'our', 'ongoing', 'survey', 'of', '1000', 'gkgiants', 'with', 'the', '92m', 'hobbyeberly', 'telescope', 'in', 'search', 'for', 'planets', 'around', 'evolved', 'stars', 'the', 'stars', 'selected', 'for', 'this', 'survey', 'are', 'brighter', 'than', '11', 'mag', 'and', 'are', 'located', 'in', 'the', 'section', 'of', 'the', 'hrdiagram', 'which', 'is', 'approximately', 'delimited', 'by', 'the', 'main', 'sequence', 'the', 'instability', 'strip', 'and', 'the', 'coronal', 'dividing', 'line', 'we', 'use', 'the', 'high', 'resolution', 'spectrograph', 'to', 'obtain', 'stellar', 'spectra', 'for', 'radial', 'velocity', 'measurements', 'with', 'a', '46', 'ms', 'precision', 'so', 'far', 'the', 'survey', 'has', 'discovered', 'a', 'planetarymass', 'companion', 'to', 'the', 'k0giant', 'hd', '17092', 'and', 'it', 'has', 'produced', 'a', 'number', 'of', 'plausible', 'planet', 'candidates', 'around', 'other', 'stars', 'together', 'with', 'other', 'similar', 'efforts', 'our', 'program', 'provides', 'information', 'on', 'planet', 'formation', 'around', 'intermediate', 'mass', 'main', 'sequenceprogenitors', 'and', 'it', 'will', 'create', 'the', 'experimental', 'basis', 'with', 'which', 'to', 'study', 'dynamics', 'of', 'planetary', 'systems', 'around', 'evolving', 'stars']] | [-0.08776988432164891, 0.11041876566423862, -0.07942514593402544, 0.03246039415847648, -0.1379842352811937, -0.06599105293690055, 0.059869930223147905, 0.37229990346564185, -0.12251903583744057, -0.3990465564860238, 0.10450232757462395, -0.3172318095824233, -0.02673242142083365, 0.22259932002225133, -0.04561777337695713, 0.0043861123793585985, 0.14614484775164682, -0.017940028743059548, -0.003637202823948529, -0.2835052536110635, 0.29011538684092186, 0.07412139605040903, 0.08945315800331256, -0.06026690951376049, 0.051087702188157925, -0.08941411260748282, -0.08134482384452389, -0.06344104722590634, -0.18967330974216262, 0.06951701440331008, 0.251777914111261, 0.14532173274395366, 0.24098424520343542, -0.30137206997584415, -0.16068955193170242, 0.04035914001158542, 0.21242446558618988, 0.02748382968948809, -0.07967455881665013, -0.3019689718399335, 0.13062690760319431, -0.13807979071150636, -0.1886260416738137, 0.03996239493221596, 0.06868268674998372, 0.033696687154264916, -0.2114518048103761, 0.048123920077664986, 0.008574226763772053, 0.15446671861120395, -0.14281977209504004, -0.15322713849514172, -0.07418963930621329, 0.09228414101181207, -0.016858087481792877, 0.10635748419013841, 0.12917597700531283, -0.10472950843525015, -0.008250977057549689, 0.3802673477817465, -0.0951508316941154, -0.009295839350670576, 0.23528294418593523, -0.22997968654079293, -0.16043021839663937, 0.1400743645331305, 0.16537521219363918, 0.16421938340041647, -0.16917509550435675, -0.03554368613770714, -0.021182207977054297, 0.18923048792855332, 0.0707371909102356, 0.0518996227360158, 0.3588846513380607, 0.17769834404052406, 0.04935874892053781, 0.08749713240691495, -0.27559291067947117, -0.07038654483578823, -0.21792453691639282, -0.12903431758836464, -0.11132727836224215, 0.03469045567757416, -0.053247497309671925, -0.10310902078808458, 0.3538536747572599, 0.14569933612020342, 0.19008920017664355, 0.03881699148806985, 0.2987603533599112, 0.06893760479934928, 0.1588374431219159, 0.10404305640539085, 0.32291190435213074, 0.15118556321529603, 0.13223105823552167, -0.20976146646188917, 0.027181347525092187, -0.009399915534864973] |
712.2298 | The PSU/TCfA Search for Planets around Evolved Stars. Stellar parameters
and activity indicators of targets | The main objective of the Penn State/Torun Centre for Astronomy Search for
Planets around Evolved Stars is the detection of planetary systems around
massive, evolved stars. We are also interested in the evolution of these
systems on stellar evolution timescales. In this paper we present our approach
to determine the basic physical parameters of our targets GK-giants. We also
discuss the stellar activity indicators used in our survey: line bisector and
curvature, and Halpha variability.
| astro-ph | the main objective of the penn statetorun centre for astronomy search for planets around evolved stars is the detection of planetary systems around massive evolved stars we are also interested in the evolution of these systems on stellar evolution timescales in this paper we present our approach to determine the basic physical parameters of our targets gkgiants we also discuss the stellar activity indicators used in our survey line bisector and curvature and halpha variability | [['the', 'main', 'objective', 'of', 'the', 'penn', 'statetorun', 'centre', 'for', 'astronomy', 'search', 'for', 'planets', 'around', 'evolved', 'stars', 'is', 'the', 'detection', 'of', 'planetary', 'systems', 'around', 'massive', 'evolved', 'stars', 'we', 'are', 'also', 'interested', 'in', 'the', 'evolution', 'of', 'these', 'systems', 'on', 'stellar', 'evolution', 'timescales', 'in', 'this', 'paper', 'we', 'present', 'our', 'approach', 'to', 'determine', 'the', 'basic', 'physical', 'parameters', 'of', 'our', 'targets', 'gkgiants', 'we', 'also', 'discuss', 'the', 'stellar', 'activity', 'indicators', 'used', 'in', 'our', 'survey', 'line', 'bisector', 'and', 'curvature', 'and', 'halpha', 'variability']] | [-0.07711789712309837, 0.06664138820022344, -0.07052755345900853, 0.12367462003603577, -0.1000906227529049, 0.006112110018730164, 0.05157778084122886, 0.39929567500948904, -0.15509661065414548, -0.34437657381097475, 0.09098517484497279, -0.26565845470875504, -0.13837272440393766, 0.22948786744537453, -0.07225599568958084, 0.017079001603027184, 0.13106736895938714, -0.0231025114407142, -0.01819337756683429, -0.29227756035824615, 0.3868535048514605, 0.03719697023121019, 0.1077410980934898, -0.013805230607589087, 0.02212127300600211, -0.08745796031008164, -0.09937762875109911, -0.08031462507943313, -0.17720669202816983, 0.11475992290923993, 0.2620522064467271, 0.22679516026750207, 0.2408875945334633, -0.32960543724397817, -0.20731970158716043, 0.03934117497876286, 0.20392658732210597, 0.04348761111924735, -0.060970602788341544, -0.2726309556265672, 0.07162800913055738, -0.14334366881599028, -0.17055514866796634, 0.02510106960311532, 0.08335317827761174, 0.061756129364172616, -0.18849014361699423, 0.05912987249204889, 0.037042910832290846, 0.1546910989905397, -0.16071250485877195, -0.135713480754445, -0.032604437926784156, 0.15378249955674012, 0.009958952455005297, 0.025774286600450676, 0.16259923241411647, -0.11620147781291355, -0.048965546041727065, 0.40154549906651177, -0.1105581756774336, -0.05283588801200191, 0.25660267354299626, -0.1844708536968877, -0.23398986420904597, 0.04517109259497374, 0.2540211689223846, 0.20528428776500127, -0.1695578296482563, -0.02022024864796549, 0.014515692157049974, 0.19312107644975185, 0.014975486515710752, 0.04467503092562159, 0.341922872637709, 0.17413220029324294, 0.03309152031627794, 0.0830245365947485, -0.22603261613287032, -0.08557167866577704, -0.23152983762944737, -0.13892083269854386, -0.09786073955396811, 0.014499762697766224, -0.08083288982471762, -0.11700812499970198, 0.4221180917819341, 0.20553797215223313, 0.1299872625929614, 0.060632527563720943, 0.29486939758062364, 0.08266250000490497, 0.08490101803094148, 0.12480043955768148, 0.3176751680423816, 0.13808960888534785, 0.14090665760760507, -0.2686578445446988, 0.06436587845285734, -0.004020160858829816] |
712.2299 | What is a superrigid subgroup? | This is an expository paper. It is well known that a linear transformation
can be defined to have any desired action on a basis. From this fact, one can
show that every group homomorphism from Z^k to R^d extends to a homomorphism
from R^k to R^d, and we will see other examples of discrete subgroups H of
connected groups G, such that the homomorphisms defined on $H$ can ("almost")
be extended to homomorphisms defined on all of G. This is related to a very
classical topic in geometry, the study of linkages.
| math.HO math.MG | this is an expository paper it is well known that a linear transformation can be defined to have any desired action on a basis from this fact one can show that every group homomorphism from zk to rd extends to a homomorphism from rk to rd and we will see other examples of discrete subgroups h of connected groups g such that the homomorphisms defined on h can almost be extended to homomorphisms defined on all of g this is related to a very classical topic in geometry the study of linkages | [['this', 'is', 'an', 'expository', 'paper', 'it', 'is', 'well', 'known', 'that', 'a', 'linear', 'transformation', 'can', 'be', 'defined', 'to', 'have', 'any', 'desired', 'action', 'on', 'a', 'basis', 'from', 'this', 'fact', 'one', 'can', 'show', 'that', 'every', 'group', 'homomorphism', 'from', 'zk', 'to', 'rd', 'extends', 'to', 'a', 'homomorphism', 'from', 'rk', 'to', 'rd', 'and', 'we', 'will', 'see', 'other', 'examples', 'of', 'discrete', 'subgroups', 'h', 'of', 'connected', 'groups', 'g', 'such', 'that', 'the', 'homomorphisms', 'defined', 'on', 'h', 'can', 'almost', 'be', 'extended', 'to', 'homomorphisms', 'defined', 'on', 'all', 'of', 'g', 'this', 'is', 'related', 'to', 'a', 'very', 'classical', 'topic', 'in', 'geometry', 'the', 'study', 'of', 'linkages']] | [-0.11593072523322442, 0.09487275053059262, -0.12313635369924747, 0.024919704108944406, -0.12124395430715673, -0.09810031962621471, -0.001962366138088881, 0.4012061239260694, -0.3629883390284427, -0.248037713508972, 0.12479565022816963, -0.2715564238555405, -0.1649276793974897, 0.2029226453691397, -0.1578490597995646, -0.038717207205279366, 0.04412615037037303, 0.10557773727518709, -0.06943730442308942, -0.25622938395194383, 0.33433455298654735, -0.034550260747377964, 0.18358127595654325, 0.05030213169875029, 0.06644947414853326, -0.04306078860463458, -0.05131216035933112, 0.05603904939514747, -0.14119261583057421, 0.10184906359316538, 0.30994962720686325, 0.11617878320849621, 0.23807183866713033, -0.33856138617209025, -0.18258111206207261, 0.19793424380907748, 0.13223889135026737, 0.03270793580652579, -0.012985916766489896, -0.2868050172590934, 0.11129381781970353, -0.14712561367322569, -0.07891033033071004, -0.038126237214664405, 0.0725553391005277, 0.013266048411858956, -0.2664856051256799, -0.04133543073258688, 0.11593870138471096, 0.043776383734834584, 0.0017770497057505925, -0.08626622660085559, -0.05777375897868415, 0.13635088657231434, -0.014904384944162777, 0.12669720440728427, 0.1057595834079067, -0.05115841471073825, -0.12560983960334535, 0.4417304039639218, -0.08313301249923509, -0.20752893918720278, 0.20404943203270112, -0.1537880740057596, -0.18449367746032533, 0.08832232171224187, 0.15008218671478654, 0.12010547156324206, -0.09951000001645931, 0.1711290011520285, -0.14889828546438366, 0.1188284836952453, 0.041038389013999185, -0.0339504537025831, 0.12625016031138922, 0.09852682271182699, 0.129954979170377, 0.13637623819332753, 0.05988732721459161, 0.008012645518528703, -0.34765514251573576, -0.1505275445765026, -0.18360534563544206, 0.13648066789660926, -0.02578234426033779, -0.15088245497621677, 0.39813742775004357, 0.10320683567387397, 0.18673147026793627, 0.07623910470916283, 0.19908933605209156, 0.09688183615672523, 0.09366480727761012, 0.06813007415495002, 0.13519422987314023, 0.15357976428071118, -0.055566919355086335, -0.12082613809995921, 0.001612454085894253, 0.124304607409336] |
712.23 | Simulations of the periodic flaring rate on YY Gem | The binary YY Gem shows many interesting properties, one of which is the
periodicity in its flaring rate. The period, which is about $48 \pm 3$ min, was
ever interpreted in terms of the oscillation of a filament. In this paper, we
propose a new model to explain this phenomenon by means of 2.5-dimensional MHD
numerical simulations. It is found that magnetic reconnection is induced as the
coronal loops rooted on both stars inflate and approach each other, which is
driven by the differential stellar rotation. The magnetic reconnection is
modulated by fast-mode magnetoacoustic waves which are trapped between the
surfaces of the two stars, so that the reconnection rate presents a periodic
behaviour. With the typical parameters for the binary system, the observed
period can be reproduced. We also derive an empirical formula to relate the
period of the flaring rate to the coronal temperature and density, as well as
the magnetic field.
| astro-ph | the binary yy gem shows many interesting properties one of which is the periodicity in its flaring rate the period which is about 48 pm 3 min was ever interpreted in terms of the oscillation of a filament in this paper we propose a new model to explain this phenomenon by means of 25dimensional mhd numerical simulations it is found that magnetic reconnection is induced as the coronal loops rooted on both stars inflate and approach each other which is driven by the differential stellar rotation the magnetic reconnection is modulated by fastmode magnetoacoustic waves which are trapped between the surfaces of the two stars so that the reconnection rate presents a periodic behaviour with the typical parameters for the binary system the observed period can be reproduced we also derive an empirical formula to relate the period of the flaring rate to the coronal temperature and density as well as the magnetic field | [['the', 'binary', 'yy', 'gem', 'shows', 'many', 'interesting', 'properties', 'one', 'of', 'which', 'is', 'the', 'periodicity', 'in', 'its', 'flaring', 'rate', 'the', 'period', 'which', 'is', 'about', '48', 'pm', '3', 'min', 'was', 'ever', 'interpreted', 'in', 'terms', 'of', 'the', 'oscillation', 'of', 'a', 'filament', 'in', 'this', 'paper', 'we', 'propose', 'a', 'new', 'model', 'to', 'explain', 'this', 'phenomenon', 'by', 'means', 'of', '25dimensional', 'mhd', 'numerical', 'simulations', 'it', 'is', 'found', 'that', 'magnetic', 'reconnection', 'is', 'induced', 'as', 'the', 'coronal', 'loops', 'rooted', 'on', 'both', 'stars', 'inflate', 'and', 'approach', 'each', 'other', 'which', 'is', 'driven', 'by', 'the', 'differential', 'stellar', 'rotation', 'the', 'magnetic', 'reconnection', 'is', 'modulated', 'by', 'fastmode', 'magnetoacoustic', 'waves', 'which', 'are', 'trapped', 'between', 'the', 'surfaces', 'of', 'the', 'two', 'stars', 'so', 'that', 'the', 'reconnection', 'rate', 'presents', 'a', 'periodic', 'behaviour', 'with', 'the', 'typical', 'parameters', 'for', 'the', 'binary', 'system', 'the', 'observed', 'period', 'can', 'be', 'reproduced', 'we', 'also', 'derive', 'an', 'empirical', 'formula', 'to', 'relate', 'the', 'period', 'of', 'the', 'flaring', 'rate', 'to', 'the', 'coronal', 'temperature', 'and', 'density', 'as', 'well', 'as', 'the', 'magnetic', 'field']] | [-0.17096129097834428, 0.19349884929813146, -0.03185527217151089, 0.10373404781430863, -0.06916196840549153, -0.07281239299926084, 0.012725534167763619, 0.37084239812011455, -0.2466496417900644, -0.3348211091156904, 0.09872653767505854, -0.2232352098958059, -0.13910582450569256, 0.2601358857816206, -0.023966085813582765, 0.011254850735316391, 0.06529244370365443, 0.03966463895290848, -0.029859286442689308, -0.22129838262660453, 0.27236803910126545, 0.09233610419040189, 0.18487616782772126, -0.013662711508547911, 0.06977347470706559, -0.08795193792774354, 0.008466140207019635, 0.0033799258979980823, -0.13325123426358157, 0.043705989921151045, 0.1718748162784795, 0.09545589146784858, 0.20652446309225514, -0.4154929898969539, -0.24125147689520926, 0.014515168511296635, 0.1795538371192993, 0.06393305537617439, -0.02899223356583313, -0.23471319376847816, 0.07298571292867327, -0.167375586914842, -0.14003727380367745, -0.003161111064920468, 0.04760479432751437, 0.05114553311488942, -0.28266747829250316, 0.11363421630567128, 0.07670343659633722, 0.09483629625363203, -0.10500365281674116, -0.025373820901104526, -0.05500081169960246, 0.0852284248768618, 0.13427737326430786, 0.10068515530037513, 0.11287575978604326, -0.0876284576045325, -0.11619246187816411, 0.35539571856233204, -0.07192253984069427, -0.1100226300249788, 0.17893516786196934, -0.2021497243973003, -0.10049379929936454, 0.16106400725601072, 0.12511039505011173, 0.1073275155224535, -0.1522333605650377, 0.0018084954747071417, -0.06583708947200885, 0.15985816993520824, 0.06735788543055488, -0.021717662889776484, 0.2918941242160735, 0.15125756623683037, 0.010089628095662995, 0.15590530331889108, -0.18762819164632155, -0.07117474699308249, -0.28076604022583984, -0.13706253911670926, -0.13149637681909826, 0.056342361511529555, -0.07480109602650598, -0.192011016662922, 0.4134036650482033, 0.13049051752495397, 0.22327220817882712, -0.028901354915480577, 0.2719513569873842, 0.18074806289847142, 0.05322116312135068, 0.12876767656530025, 0.27946574902978377, 0.20020768419815252, 0.13883310241032054, -0.272264567147124, 0.09134705823713116, 0.07780802974858406] |
712.2301 | Galaxy Orbits for Galaxy Clusters in Sloan Digital Sky Survey and 2dF
Galaxy Redshift Survey | We present the results of a study for galaxy orbits in galaxy clusters using
a spectroscopic sample of galaxies in Sloan Digital Sky Survey (SDSS) and 2dF
Galaxy Redshift Survey (2dFGRS). We have determined the member galaxies of
Abell clusters covered by these surveys using the galaxies' redshift and
positional data. We have selected 10 clusters using three criteria: the number
of member galaxies is greater than or equal to 40, the spatial coverage is
complete, and X-ray mass profile is available in the literature. We derive the
radial profile of the galaxy number density and velocity dispersion using all,
early-type, and late-type galaxies for each cluster. We have investigated the
galaxy orbits for our sample clusters with constant and variable velocity
anisotropies over the clustercentric distance using Jeans equation. Using all
member galaxies, the galaxy orbits are found to be isotropic within the
uncertainty for most of sample clusters, although it is difficult to conclude
strongly for some clusters due the large errors and the variation as a function
of the clustercentric distance in the calculated velocity anisotropies. We
investigated the orbital difference between early-type and late-type galaxies
for four sample clusters, and found no significant difference between them.
| astro-ph | we present the results of a study for galaxy orbits in galaxy clusters using a spectroscopic sample of galaxies in sloan digital sky survey sdss and 2df galaxy redshift survey 2dfgrs we have determined the member galaxies of abell clusters covered by these surveys using the galaxies redshift and positional data we have selected 10 clusters using three criteria the number of member galaxies is greater than or equal to 40 the spatial coverage is complete and xray mass profile is available in the literature we derive the radial profile of the galaxy number density and velocity dispersion using all earlytype and latetype galaxies for each cluster we have investigated the galaxy orbits for our sample clusters with constant and variable velocity anisotropies over the clustercentric distance using jeans equation using all member galaxies the galaxy orbits are found to be isotropic within the uncertainty for most of sample clusters although it is difficult to conclude strongly for some clusters due the large errors and the variation as a function of the clustercentric distance in the calculated velocity anisotropies we investigated the orbital difference between earlytype and latetype galaxies for four sample clusters and found no significant difference between them | [['we', 'present', 'the', 'results', 'of', 'a', 'study', 'for', 'galaxy', 'orbits', 'in', 'galaxy', 'clusters', 'using', 'a', 'spectroscopic', 'sample', 'of', 'galaxies', 'in', 'sloan', 'digital', 'sky', 'survey', 'sdss', 'and', '2df', 'galaxy', 'redshift', 'survey', '2dfgrs', 'we', 'have', 'determined', 'the', 'member', 'galaxies', 'of', 'abell', 'clusters', 'covered', 'by', 'these', 'surveys', 'using', 'the', 'galaxies', 'redshift', 'and', 'positional', 'data', 'we', 'have', 'selected', '10', 'clusters', 'using', 'three', 'criteria', 'the', 'number', 'of', 'member', 'galaxies', 'is', 'greater', 'than', 'or', 'equal', 'to', '40', 'the', 'spatial', 'coverage', 'is', 'complete', 'and', 'xray', 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712.2302 | Data access optimizations for highly threaded multi-core CPUs with
multiple memory controllers | Processor and system architectures that feature multiple memory controllers
are prone to show bottlenecks and erratic performance numbers on codes with
regular access patterns. Although such effects are well known in the form of
cache thrashing and aliasing conflicts, they become more severe when memory
access is involved. Using the new Sun UltraSPARC T2 processor as a prototypical
multi-core design, we analyze performance patterns in low-level and application
benchmarks and show ways to circumvent bottlenecks by careful data layout and
padding.
| cs.DC cs.PF | processor and system architectures that feature multiple memory controllers are prone to show bottlenecks and erratic performance numbers on codes with regular access patterns although such effects are well known in the form of cache thrashing and aliasing conflicts they become more severe when memory access is involved using the new sun ultrasparc t2 processor as a prototypical multicore design we analyze performance patterns in lowlevel and application benchmarks and show ways to circumvent bottlenecks by careful data layout and padding | [['processor', 'and', 'system', 'architectures', 'that', 'feature', 'multiple', 'memory', 'controllers', 'are', 'prone', 'to', 'show', 'bottlenecks', 'and', 'erratic', 'performance', 'numbers', 'on', 'codes', 'with', 'regular', 'access', 'patterns', 'although', 'such', 'effects', 'are', 'well', 'known', 'in', 'the', 'form', 'of', 'cache', 'thrashing', 'and', 'aliasing', 'conflicts', 'they', 'become', 'more', 'severe', 'when', 'memory', 'access', 'is', 'involved', 'using', 'the', 'new', 'sun', 'ultrasparc', 't2', 'processor', 'as', 'a', 'prototypical', 'multicore', 'design', 'we', 'analyze', 'performance', 'patterns', 'in', 'lowlevel', 'and', 'application', 'benchmarks', 'and', 'show', 'ways', 'to', 'circumvent', 'bottlenecks', 'by', 'careful', 'data', 'layout', 'and', 'padding']] | [-0.1999750584177098, 0.046488786219722696, -0.03685930039949951, 0.1011768286820662, -0.10278367681750729, -0.2337103610869819, 0.07781376486161241, 0.43575971877133407, -0.29053450667839725, -0.3525921540150856, 0.1712851726225819, -0.25405500509580714, -0.18655207075960475, 0.21860729485109195, -0.16763852740189544, 0.09447187902750792, 0.11933154227499697, -0.019886100926310008, -0.037553118810598037, -0.24339956307300814, 0.2581646570728885, 0.05849315712722823, 0.31033290575407907, -0.0022397027235984066, 0.010609271655500189, -0.07377681016841513, -0.021013431900675283, -0.02084069674903596, 0.0007062007547866403, 0.038341136617632006, 0.2681195059256559, 0.15743132355841405, 0.262794876643629, -0.5322762833172341, -0.17635402641040676, 0.03910890267730725, 0.16445057117667647, 0.07483518285602102, -0.033217523372940504, -0.27718564227545334, 0.10590358944264827, -0.17930569576191496, -0.031969178916403544, -0.1502307422666086, -0.0015644041158799312, 0.03503504765714392, -0.2536695675901425, -0.006512746772510402, 0.048805026172223376, 0.050509100308480825, 0.03649928071823569, -0.12521887503788565, 0.037217683265169645, 0.15346682783292412, 0.01694810232664976, -0.0007908607051236394, 0.1396125636615411, -0.144240740629166, -0.17219760629957842, 0.38930723236666787, 0.0538097271942936, -0.1957285739251493, 0.21282216149991678, -0.04342425485819946, -0.16241934812731212, 0.07634721231865294, 0.2263018813467136, 0.054908316346736236, -0.13112092343892723, 0.009918747735669675, 0.06045000176922775, 0.21793176527250052, 0.10471484392455975, 0.1483230431403183, 0.1700602530323567, 0.2213201000366682, 0.05487687517831355, 0.1729883325205725, -0.10968913867736212, -0.12205493018422046, -0.17290440530093662, -0.09081361030320419, -0.147809538277395, -0.007176749537595444, -0.09287735466726044, -0.13829079463526053, 0.33908979413904433, 0.18526256584596854, 0.16942713073926208, 0.07793272952376692, 0.3865523672674173, 0.011338417209903306, 0.21073464212226278, 0.18829744506374368, 0.0682492675460921, 0.009016582233555339, 0.13008908622173798, -0.228855590261289, 0.07189876558891509, -0.03424785945587504] |
712.2303 | The Standing Wave Phenomenon in Radio Telescopes; Frequency Modulation
of the WSRT Primary Beam | Inadequacies in the knowledge of the primary beam response of current
interferometric arrays often form a limitation to the image fidelity. We hope
to overcome these limitations by constructing a frequency-resolved,
full-polarization empirical model for the primary beam of the Westerbork
Synthesis Radio Telescope (WSRT). Holographic observations, sampling angular
scales between about 5 arcmin and 11 degrees, were obtained of a bright compact
source (3C147). These permitted measurement of voltage response patterns for
seven of the fourteen telescopes in the array and allowed calculation of the
mean cross-correlated power beam. Good sampling of the main-lobe, near-in, and
far-side-lobes out to a radius of more than 5 degrees was obtained. A robust
empirical beam model was detemined in all polarization products and at
frequencies between 1322 and 1457 MHz with 1 MHz resolution. Substantial
departures from axi-symmetry are apparent in the main-lobe as well as
systematic differences between the polarization properties. Surprisingly, many
beam properties are modulated at the 5 to 10% level with changing frequency.
These include: (1) the main beam area, (2) the side-lobe to main-lobe power
ratio, and (3) the effective telescope aperture. These semi-sinusoidsal
modulations have a basic period of about 17 MHz, consistent with the natural
'standing wave' period of a 8.75 m focal distance. The deduced frequency
modulations of the beam pattern were verified in an independent long duration
observation using compact continuum sources at very large off-axis distances.
Application of our frequency-resolved beam model should enable higher dynamic
range and improved image fidelity for interferometric observations in complex
fields. (abridged)
| astro-ph | inadequacies in the knowledge of the primary beam response of current interferometric arrays often form a limitation to the image fidelity we hope to overcome these limitations by constructing a frequencyresolved fullpolarization empirical model for the primary beam of the westerbork synthesis radio telescope wsrt holographic observations sampling angular scales between about 5 arcmin and 11 degrees were obtained of a bright compact source 3c147 these permitted measurement of voltage response patterns for seven of the fourteen telescopes in the array and allowed calculation of the mean crosscorrelated power beam good sampling of the mainlobe nearin and farsidelobes out to a radius of more than 5 degrees was obtained a robust empirical beam model was detemined in all polarization products and at frequencies between 1322 and 1457 mhz with 1 mhz resolution substantial departures from axisymmetry are apparent in the mainlobe as well as systematic differences between the polarization properties surprisingly many beam properties are modulated at the 5 to 10 level with changing frequency these include 1 the main beam area 2 the sidelobe to mainlobe power ratio and 3 the effective telescope aperture these semisinusoidsal modulations have a basic period of about 17 mhz consistent with the natural standing wave period of a 875 m focal distance the deduced frequency modulations of the beam pattern were verified in an independent long duration observation using compact continuum sources at very large offaxis distances application of our frequencyresolved beam model should enable higher dynamic range and improved image fidelity for interferometric observations in complex fields abridged | [['inadequacies', 'in', 'the', 'knowledge', 'of', 'the', 'primary', 'beam', 'response', 'of', 'current', 'interferometric', 'arrays', 'often', 'form', 'a', 'limitation', 'to', 'the', 'image', 'fidelity', 'we', 'hope', 'to', 'overcome', 'these', 'limitations', 'by', 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712.2304 | On simultaneous rational approximations to a real number, its square,
and its cube | We provide an upper bound on the uniform exponent of approximation to a
triple (xi, xi^2, xi^3) by rational numbers with the same denominator, valid
for any transcendental real number xi. This upper bound refines a previous
result of Davenport and Schmidt. As a consequence, we get a sharper lower bound
on the exponent of approximation of such a number xi by algebraic integers of
degree at most 4.
| math.NT | we provide an upper bound on the uniform exponent of approximation to a triple xi xi2 xi3 by rational numbers with the same denominator valid for any transcendental real number xi this upper bound refines a previous result of davenport and schmidt as a consequence we get a sharper lower bound on the exponent of approximation of such a number xi by algebraic integers of degree at most 4 | [['we', 'provide', 'an', 'upper', 'bound', 'on', 'the', 'uniform', 'exponent', 'of', 'approximation', 'to', 'a', 'triple', 'xi', 'xi2', 'xi3', 'by', 'rational', 'numbers', 'with', 'the', 'same', 'denominator', 'valid', 'for', 'any', 'transcendental', 'real', 'number', 'xi', 'this', 'upper', 'bound', 'refines', 'a', 'previous', 'result', 'of', 'davenport', 'and', 'schmidt', 'as', 'a', 'consequence', 'we', 'get', 'a', 'sharper', 'lower', 'bound', 'on', 'the', 'exponent', 'of', 'approximation', 'of', 'such', 'a', 'number', 'xi', 'by', 'algebraic', 'integers', 'of', 'degree', 'at', 'most', '4']] | [-0.2186121414213077, 0.14859321966714165, -0.1027901699240117, 0.07989693169002894, -0.05084657877771373, -0.16382909897525888, 0.13234442209258027, 0.19723464815836886, -0.20721233086289326, -0.3096855672083093, 0.03638786078849132, -0.2411842864492665, -0.11975605640074481, 0.26606447549631307, -0.008959849196337704, 0.04203358521529784, -0.04013559782364662, 0.137495506821838, -0.015548467298672684, -0.3326080468199823, 0.32505259047468205, 0.00302605001606803, 0.16087722371878993, 0.079123314321581, 0.033400147748382195, 0.00501784240907949, 0.01948792177616902, -0.021764126295844715, -0.2348946895369369, 0.11033898057497066, 0.20425703392728514, 0.09081091749333385, 0.27881733306508133, -0.31531127690391586, -0.11730008072935152, 0.14065547606678327, 0.17193361925150175, 0.030871232283180176, 0.012317105368508593, -0.21989075232135213, 0.12196877932148999, -0.15387540000707647, -0.20559877779442762, -0.02816469234454891, 0.09334365815173942, 0.03242716619717902, -0.3387697393587534, 0.07281292939855569, 0.1130560701308043, 0.10841284740118957, -0.012630123250267428, -0.21919142171585312, 0.030346742621960417, 0.05455923118912007, -0.0015751482459945955, 0.0771052086442385, 0.02938391665077728, -0.11450327489781531, -0.07292371159554392, 0.26883292981032014, -0.12077163999998922, -0.2257268708469211, 0.12429861308655878, -0.1866113435531008, -0.14504933482764856, 0.14949325088452062, 0.11620362931727499, 0.13817034583990934, 0.015542585192673394, 0.16758246185254658, -0.15388562175296788, 0.20410569752161595, 0.14923106378241294, 0.05684103438819664, 0.07545155518944713, 0.05965802109921756, 0.14886685178709635, 0.1416543095804535, -0.008460392237411461, -0.02265121582456851, -0.3503961023213207, -0.15361554619596354, -0.2528386544706165, 0.1539023614798983, -0.1973200920913149, -0.1815792056394444, 0.30872961153964634, 0.051211548510237015, 0.2575899421952773, 0.17184622740993896, 0.26395199617937853, 0.16842759110242722, -0.004712736638991729, 0.08908521122150663, 0.16279628451751627, 0.17687695865532843, -0.006836125235734642, -0.12426928066365096, 0.06982557069969134, 0.20466932484313197] |
712.2305 | Electric self inductance of quasi-2D magnetic-dipolar-mode ferrite disks | An electric current flowing around a loop produces a magnetic field and hence
a magnetic flux through the loop. The ratio of the magnetic flux to the
electric current is called the (magnetic) self inductance. Can there be a dual
situation with a magnetic current flowing around a loop and producing an
electric field and hence an electric flux through the loop? Following the
classical electrodynamics laws an answer to this question should be negative.
Nevertheless special spectral properties of magnetic dipolar modes in a
quasi-2D ferrite disk show there are the double-valued-function loop magnetic
currents which may produce eigen electric fields and hence eigen electric
fluxes through the loop. In this case one can definitely introduce the notion
of the electric self inductance as the ratio of the electric flux to the
magnetic current. In this paper we show experimentally that in the
magnetic-dipolar-mode ferrite disks there exist eigen electric fluxes. These
fluxes are very sensitive to permittivity parameters of materials abutting to
the ferrite disk. Dielectric samples above a ferrite disk with a higher
permittivity than air confine the electric field closely outside the ferrite,
thereby changing the loop magnetic currents and thus transforming the
magnetic-dipolar-mode oscillating spectrum.
| cond-mat.mtrl-sci cond-mat.mes-hall | an electric current flowing around a loop produces a magnetic field and hence a magnetic flux through the loop the ratio of the magnetic flux to the electric current is called the magnetic self inductance can there be a dual situation with a magnetic current flowing around a loop and producing an electric field and hence an electric flux through the loop following the classical electrodynamics laws an answer to this question should be negative nevertheless special spectral properties of magnetic dipolar modes in a quasi2d ferrite disk show there are the doublevaluedfunction loop magnetic currents which may produce eigen electric fields and hence eigen electric fluxes through the loop in this case one can definitely introduce the notion of the electric self inductance as the ratio of the electric flux to the magnetic current in this paper we show experimentally that in the magneticdipolarmode ferrite disks there exist eigen electric fluxes these fluxes are very sensitive to permittivity parameters of materials abutting to the ferrite disk dielectric samples above a ferrite disk with a higher permittivity than air confine the electric field closely outside the ferrite thereby changing the loop magnetic currents and thus transforming the magneticdipolarmode oscillating spectrum | [['an', 'electric', 'current', 'flowing', 'around', 'a', 'loop', 'produces', 'a', 'magnetic', 'field', 'and', 'hence', 'a', 'magnetic', 'flux', 'through', 'the', 'loop', 'the', 'ratio', 'of', 'the', 'magnetic', 'flux', 'to', 'the', 'electric', 'current', 'is', 'called', 'the', 'magnetic', 'self', 'inductance', 'can', 'there', 'be', 'a', 'dual', 'situation', 'with', 'a', 'magnetic', 'current', 'flowing', 'around', 'a', 'loop', 'and', 'producing', 'an', 'electric', 'field', 'and', 'hence', 'an', 'electric', 'flux', 'through', 'the', 'loop', 'following', 'the', 'classical', 'electrodynamics', 'laws', 'an', 'answer', 'to', 'this', 'question', 'should', 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712.2306 | Time-dependent density-functional theory with self-interaction
correction | We discuss an extension of time-dependent density-functional theory by a
self-interaction correction (SIC). A strictly variational formulation is given
taking care of the necessary constraints. A manageable and transparent
propagation scheme using two sets of wavefunctions is proposed and applied to
laser excitation with subsequent ionization of a dimer molecule.
| cond-mat.other | we discuss an extension of timedependent densityfunctional theory by a selfinteraction correction sic a strictly variational formulation is given taking care of the necessary constraints a manageable and transparent propagation scheme using two sets of wavefunctions is proposed and applied to laser excitation with subsequent ionization of a dimer molecule | [['we', 'discuss', 'an', 'extension', 'of', 'timedependent', 'densityfunctional', 'theory', 'by', 'a', 'selfinteraction', 'correction', 'sic', 'a', 'strictly', 'variational', 'formulation', 'is', 'given', 'taking', 'care', 'of', 'the', 'necessary', 'constraints', 'a', 'manageable', 'and', 'transparent', 'propagation', 'scheme', 'using', 'two', 'sets', 'of', 'wavefunctions', 'is', 'proposed', 'and', 'applied', 'to', 'laser', 'excitation', 'with', 'subsequent', 'ionization', 'of', 'a', 'dimer', 'molecule']] | [-0.12153129036538303, 0.06018443701119395, -0.09650816690176725, 0.08062529104296118, -0.019559040530584753, -0.16901596389710904, 0.0665135332918726, 0.3947856646589935, -0.21914057653397323, -0.25827608301304283, 0.023013621708378194, -0.24205110317096115, -0.11918663293123245, 0.14510644033551215, -0.0053344861371442676, 0.0683603615872562, 0.06924184725154191, -0.042665963526815176, -0.10173842466436327, -0.2105776232201606, 0.2872835035528988, 0.06099683872424066, 0.24525173211470247, 0.12824317120015621, 0.11341461746953428, 0.05623824667185545, 0.03168026303872466, 0.023182284850627184, -0.12906264297198505, 0.1632259590504691, 0.2045323387859389, 0.09071406967937946, 0.3073759863525629, -0.49717536425217984, -0.25084144867956637, -0.0018453627079725267, 0.10164109364151955, 0.18677420726045965, -0.06509112971805735, -0.2839967952249572, 0.0015519719198346137, -0.18526375291869043, -0.11846189212985336, -0.08945431778207422, -0.028996885940432548, -0.020971887735649942, -0.3412430301681161, 0.021127417366951704, -0.009299431052058936, 0.027988866455852985, -0.09777390541508794, -0.07744781238492578, -0.023170742171350865, 0.009749446883797646, -0.008464907938614487, 0.050248393695801495, 0.1542614613287151, -0.05678775222040713, -0.08152458507567645, 0.44997197575867176, -0.08090267671272158, -0.23944722825661302, 0.12473273113369941, -0.06950031149375718, -0.09119271233910695, 0.2026688708178699, 0.09364729956607334, 0.1435242046043277, -0.17213392145931722, 0.10185543423285708, 0.03496352664195001, 0.1571875058952719, 0.08242932396009564, 0.028505753334611653, 0.15201637038961052, 0.17147638136520982, 0.0633977583423257, 0.16090386915951968, -0.08590749878436327, -0.10890826871618628, -0.3429297186434269, -0.13426433326676487, -0.18559292980469763, 0.05554875059053302, -0.05376860250660684, -0.1796697350591421, 0.39043989861173034, 0.0967933848593384, 0.10965801170095801, 0.004466490168124437, 0.3096089410409331, 0.1784679252281785, 0.019118124768137932, -0.023759341277182103, 0.19097891051322222, 0.2227360684098676, -0.0035716315358877183, -0.2374519961560145, 0.010657504983246326, 0.07123545702546835] |
712.2307 | On the local and non-local content of bipartite qubit and qutrit
correlations | The local and non-local contents of non-local probability distributions are
studied using the approach of Elitzur, Popescu and Rohrlich [Phys. Lett. A
\textbf{162}, 25 (1992)]. This work focuses on distributions that can be
obtained by single-copy von Neumann measurements on bipartite quantum systems.
For pure two-qubit states Psi(theta)=cos(theta)|00>+sin(theta)|11>, with
cos(theta)>=sin(theta), the local content of the corresponding probability
distribution is found to lie between 1-sin(2*theta) and cos(2*theta). For the
family Psi(gamma)= (|00>+|11>+gamma*|22>)/sqrt(2+gamma^2) of two-qutrit states,
non-zero local content is found for gamma>2.
| quant-ph | the local and nonlocal contents of nonlocal probability distributions are studied using the approach of elitzur popescu and rohrlich phys lett a textbf162 25 1992 this work focuses on distributions that can be obtained by singlecopy von neumann measurements on bipartite quantum systems for pure twoqubit states psithetacostheta00sintheta11 with costhetasintheta the local content of the corresponding probability distribution is found to lie between 1sin2theta and cos2theta for the family psigamma 0011gamma22sqrt2gamma2 of twoqutrit states nonzero local content is found for gamma2 | [['the', 'local', 'and', 'nonlocal', 'contents', 'of', 'nonlocal', 'probability', 'distributions', 'are', 'studied', 'using', 'the', 'approach', 'of', 'elitzur', 'popescu', 'and', 'rohrlich', 'phys', 'lett', 'a', 'textbf162', '25', '1992', 'this', 'work', 'focuses', 'on', 'distributions', 'that', 'can', 'be', 'obtained', 'by', 'singlecopy', 'von', 'neumann', 'measurements', 'on', 'bipartite', 'quantum', 'systems', 'for', 'pure', 'twoqubit', 'states', 'psithetacostheta00sintheta11', 'with', 'costhetasintheta', 'the', 'local', 'content', 'of', 'the', 'corresponding', 'probability', 'distribution', 'is', 'found', 'to', 'lie', 'between', '1sin2theta', 'and', 'cos2theta', 'for', 'the', 'family', 'psigamma', '0011gamma22sqrt2gamma2', 'of', 'twoqutrit', 'states', 'nonzero', 'local', 'content', 'is', 'found', 'for', 'gamma2']] | [-0.1012921265761466, 0.1433501640184611, -0.08176373695268442, 0.0005531843252308471, 0.021901012061310832, -0.15130406871168434, 0.043379795587450067, 0.30791829556753664, -0.18014215891813173, -0.2980969403380234, 0.0013510111051513569, -0.313288213838333, -0.08991590174111097, 0.17620907439605185, -0.08300757280697948, 0.10032732704482776, 0.02579228503408989, 0.023742836189309235, -0.10162684518390482, -0.2694466778836948, 0.3279817473437441, 0.033043329204175326, 0.3137654025646809, 0.030848031924841434, 0.04007078003518185, 0.04966816478286331, -0.026451559712816226, 0.006956988277747051, -0.1636258614481018, 0.10023962386951193, 0.21406637597522749, 0.11301642417368528, 0.2212876309518163, -0.37697270311611264, -0.19651903636067322, 0.11784915284461979, 0.03364859305101594, 0.10435000092624441, 0.0076351517652112405, -0.38582281887188163, 0.07060558798624889, -0.21809951590962315, -0.09396566497161984, -0.08706195904922329, 0.1156613530076452, 0.0020995071696999824, -0.3018331654173763, 0.2112528239989555, 0.0539264301095452, 0.06478912914539442, 0.0009003883031638045, -0.11951881101183397, -0.07097759027965367, 0.05608841609577403, -0.10597852995545652, -0.0030824254438477127, 0.1076648662013835, -0.0806362783493425, -0.15737837842224459, 0.31548885573666713, -0.04965334233374482, -0.19862620293248542, 0.17061191182552934, -0.14071996718963706, -0.11133856871042792, 0.023583690219215657, 0.10396929637921092, 0.15591468902819447, -0.17487510807174994, 0.11398498404933459, -0.08753755723591894, 0.12947091832144283, 0.07970499479530477, 0.06730318539408281, 0.13562868297786304, 0.028192974014305754, 0.05229916770354306, 0.13768103667136625, -0.05585923004821923, -0.14398778713994512, -0.2939993759715243, -0.1813506201326259, -0.2480475264080604, 0.10938444259380431, -0.007165693086120116, -0.08578641319304313, 0.37615267463077445, 0.052778414977518354, 0.20542865137471572, 0.03371345711026439, 0.15057888805964276, 0.12451724484899866, -0.007598230020927363, 0.1328402656547137, 0.20020173887084974, 0.214017265430333, 0.06875876432872917, -0.22361331044598237, 0.0731320132127669, 0.07182841470746912] |
712.2308 | How to compute the Stanley depth of a monomial ideal | Let $J\subset I$ be monomial ideals. We show that the Stanley depth of $I/J$
can be computed in a finite number of steps. We also introduce the $\fdepth$ of
a monomial ideal which is defined in terms of prime filtrations and show that
it can also be computed in a finite number of steps. In both cases it is shown
that these invariants can be determined by considering partitions of suitable
finite posets into intervals.
| math.AC | let jsubset i be monomial ideals we show that the stanley depth of ij can be computed in a finite number of steps we also introduce the fdepth of a monomial ideal which is defined in terms of prime filtrations and show that it can also be computed in a finite number of steps in both cases it is shown that these invariants can be determined by considering partitions of suitable finite posets into intervals | [['let', 'jsubset', 'i', 'be', 'monomial', 'ideals', 'we', 'show', 'that', 'the', 'stanley', 'depth', 'of', 'ij', 'can', 'be', 'computed', 'in', 'a', 'finite', 'number', 'of', 'steps', 'we', 'also', 'introduce', 'the', 'fdepth', 'of', 'a', 'monomial', 'ideal', 'which', 'is', 'defined', 'in', 'terms', 'of', 'prime', 'filtrations', 'and', 'show', 'that', 'it', 'can', 'also', 'be', 'computed', 'in', 'a', 'finite', 'number', 'of', 'steps', 'in', 'both', 'cases', 'it', 'is', 'shown', 'that', 'these', 'invariants', 'can', 'be', 'determined', 'by', 'considering', 'partitions', 'of', 'suitable', 'finite', 'posets', 'into', 'intervals']] | [-0.1413115305562193, 0.17437070077906053, -0.09112043213099241, 0.04027081339620054, -0.01809610069729388, -0.1500540678886076, -0.04242253714861969, 0.36648212966819604, -0.36710143616423013, -0.21227643800278503, 0.08861986331408843, -0.21345066154996553, -0.11979694918729365, 0.19473173587893447, -0.13673799318571886, -0.02693212282843888, 0.06429245899120967, 0.04542492844164372, -0.03378803909135362, -0.3681776548270136, 0.3208835653960705, -0.031547318870822585, 0.1777438981582721, 0.0681960733110706, 0.07895721177880963, -0.036639950290943184, -0.012601370426515738, 0.14999607920197983, -0.15621103706294281, 0.08451641090214253, 0.33722052906950317, 0.15592796675860882, 0.23863391131162642, -0.399087726722161, -0.1191539136444529, 0.2129594236239791, 0.20569809339940548, 0.02396291126962751, 0.03807447623461485, -0.21267311510940393, 0.1768727359796564, -0.19302166789770125, -0.11233005091237525, -0.11766507104039192, 0.07169864825904369, 0.07366331314047178, -0.33548176704595484, -0.04430759674636647, 0.08954505590101083, 0.1265059462438027, -0.001849549418936173, -0.13037343775232632, -0.058168311572323245, 0.06075585350394249, -0.04738706569497784, -0.005411263583227992, 0.02612305156265696, -0.08521537416925033, -0.13909602149079242, 0.3859655623137951, -0.05072865771750609, -0.2502137575868983, 0.06300140374650558, -0.19107116703564922, -0.11230548441410065, 0.08362316024800141, 0.04945652515782664, 0.14659778172771135, -0.044142719712108376, 0.14536881829223905, -0.1343252966925502, 0.0702665202319622, 0.11017150737345219, 0.008845355209584037, 0.18971015522877374, 0.06795622224609058, 0.04932349345802019, 0.19173131584500272, -0.01835996735841036, 0.027094624750316144, -0.3558533091843128, -0.19844365143527587, -0.22427436707541346, 0.0709897011021773, -0.1215594596444862, -0.15394717683511167, 0.4100293017427127, 0.1428465700087448, 0.20016201019287108, 0.09830735227869203, 0.2300302382806937, 0.15259507346898318, 0.07773983676694722, 0.04513599072893461, 0.1000174593180418, 0.11234454525324206, -0.07915343518058458, -0.1444317251552517, 0.0683399804122746, 0.1796733797341585] |
712.2309 | The $n$-Queens Problem in Higher Dimensions | A well-known chessboard problem is that of placing eight queens on the
chessboard so that no two queens are able to attack each other. (Recall that a
queen can attack anything on the same row, column, or diagonal as itself.) This
problem is known to have been studied by Gauss, and can be generalized to an (n
\times n) board, where (n \geq 4). We consider this problem in $d$-dimensional
chess spaces, where (d \geq 3), and obtain the result that in higher
dimensions, $n$ queens do not always suffice (in any arrangement) to attack all
board positions. Our methods allow us to obtain the first lower bound on the
number of queens that are necessary to attack all positions in a
$d$-dimensional chess space of size $n$, and further to show that for any $k$,
there are higher-dimensional chess spaces in which not all positions can be
attacked by (n^k) queens.
| math.CO | a wellknown chessboard problem is that of placing eight queens on the chessboard so that no two queens are able to attack each other recall that a queen can attack anything on the same row column or diagonal as itself this problem is known to have been studied by gauss and can be generalized to an n times n board where n geq 4 we consider this problem in ddimensional chess spaces where d geq 3 and obtain the result that in higher dimensions n queens do not always suffice in any arrangement to attack all board positions our methods allow us to obtain the first lower bound on the number of queens that are necessary to attack all positions in a ddimensional chess space of size n and further to show that for any k there are higherdimensional chess spaces in which not all positions can be attacked by nk queens | [['a', 'wellknown', 'chessboard', 'problem', 'is', 'that', 'of', 'placing', 'eight', 'queens', 'on', 'the', 'chessboard', 'so', 'that', 'no', 'two', 'queens', 'are', 'able', 'to', 'attack', 'each', 'other', 'recall', 'that', 'a', 'queen', 'can', 'attack', 'anything', 'on', 'the', 'same', 'row', 'column', 'or', 'diagonal', 'as', 'itself', 'this', 'problem', 'is', 'known', 'to', 'have', 'been', 'studied', 'by', 'gauss', 'and', 'can', 'be', 'generalized', 'to', 'an', 'n', 'times', 'n', 'board', 'where', 'n', 'geq', '4', 'we', 'consider', 'this', 'problem', 'in', 'ddimensional', 'chess', 'spaces', 'where', 'd', 'geq', '3', 'and', 'obtain', 'the', 'result', 'that', 'in', 'higher', 'dimensions', 'n', 'queens', 'do', 'not', 'always', 'suffice', 'in', 'any', 'arrangement', 'to', 'attack', 'all', 'board', 'positions', 'our', 'methods', 'allow', 'us', 'to', 'obtain', 'the', 'first', 'lower', 'bound', 'on', 'the', 'number', 'of', 'queens', 'that', 'are', 'necessary', 'to', 'attack', 'all', 'positions', 'in', 'a', 'ddimensional', 'chess', 'space', 'of', 'size', 'n', 'and', 'further', 'to', 'show', 'that', 'for', 'any', 'k', 'there', 'are', 'higherdimensional', 'chess', 'spaces', 'in', 'which', 'not', 'all', 'positions', 'can', 'be', 'attacked', 'by', 'nk', 'queens']] | [-0.11203091559735567, 0.14717950507790528, -0.03933010549333535, 0.0438518835243916, -0.0627992337502196, -0.22404269690588607, 0.04228660591577768, 0.37142116431220384, -0.18613491791275968, -0.344445265572224, 0.14146000001404135, -0.2944294531633587, -0.13093294433890965, 0.14557597323666988, -0.09614761313423514, -0.016127239607924008, -0.006660594838505954, 0.10693041059206926, -0.008457839606930256, -0.3732745196979714, 0.2980929750008631, -0.041356469224985246, 0.1736902052982355, 0.00919837709577558, 0.07106234463801804, -0.0012063569432173512, 0.049798613720524465, 0.05628645459575254, -0.11748000541324712, 0.06546003369102867, 0.27278074623686016, 0.18241398646588144, 0.24711809851731614, -0.43572818514841954, -0.13200139471231714, 0.18500500279371504, 0.1805544262192837, 0.07569163321060937, 0.039648762893385106, -0.2510745031958274, 0.11002059087408461, -0.1066004027364359, -0.11420026708908967, -0.0370965405477603, 0.08376903782022725, 0.0015268618804647734, -0.24989197798085547, -0.07587173989802402, 0.09577141829619282, 0.004901921929468986, -0.006012048183229605, -0.18464699766512863, 0.0011042128087291004, 0.1885876899514666, -0.02437824587487787, 0.04693020846829504, 0.05662356828964364, -0.07505677648096983, -0.1513805716010546, 0.3595755324242514, -0.030528517141264228, -0.23356542059857593, 0.1325311018077436, -0.17267617122515252, -0.17933678464645422, 0.13761574973958837, 0.1524692849305115, 0.1441174448287041, -0.0746890218916202, 0.09360211360226937, -0.16160325014865712, 0.2333793167429241, 0.15603462667020626, -0.0013195199587100529, 0.12200337741217625, 0.06614519659074415, 0.1522630974650383, 0.11426534184973111, -0.0709872485535207, -0.05781695195152057, -0.2621072727327517, -0.1667552278794526, -0.20038787422220738, 0.08707933370533283, -0.08712230843660732, -0.13083357041959012, 0.2622654036906744, 0.15203172302081888, 0.22318604090986283, 0.06733058971784837, 0.278824963153487, 0.03987059253880656, 0.06862410107063815, 0.11163675145699496, 0.15271876236472867, 0.028422002640773394, 0.020209659966272546, -0.14221249286109874, 0.06926390848208316, 0.12992959721994243] |
712.231 | From Boltzmann-Gibbs ensemble to generalized ensembles | We reconsider the Boltzmann-Gibbs statistical ensemble in thermodynamics
using the multinomial coefficient approach. We show that an ensemble is defined
by the determination of four statistical quantities, the element probabilities
$p_i$, the configuration probabilities $P_j$, the entropy $S$ and the extremum
constraints (EC). This distinction is of central importance for the
understanding of the conditions under which a microcanonical, canonical and
macrocanonical ensemble is defined. These three ensembles are characterized by
the conservation of their sizes. A variation of the ensemble size creates
difficulties in the definitions of the quadruplet $\{p_i, P_j, S, \mt{EC}\}$,
giving rise for a generalization of the Boltzmann-Gibbs formalism, such one as
introduced by Tsallis. We demonstrate that generalized thermodynamics represent
a transformation of ordinary thermodynamics in such a way that the energy of
the system remains conserved.
From our results it becomes evident that Tsallis's formalism is a very
specific generalization, however, not the only one. We also revisit the
Jaynes's Maximum Entropy Principle, showing that in general it can lead to
incorrect results and consider the appropriate corrections.
| cond-mat.stat-mech | we reconsider the boltzmanngibbs statistical ensemble in thermodynamics using the multinomial coefficient approach we show that an ensemble is defined by the determination of four statistical quantities the element probabilities p_i the configuration probabilities p_j the entropy s and the extremum constraints ec this distinction is of central importance for the understanding of the conditions under which a microcanonical canonical and macrocanonical ensemble is defined these three ensembles are characterized by the conservation of their sizes a variation of the ensemble size creates difficulties in the definitions of the quadruplet p_i p_j s mtec giving rise for a generalization of the boltzmanngibbs formalism such one as introduced by tsallis we demonstrate that generalized thermodynamics represent a transformation of ordinary thermodynamics in such a way that the energy of the system remains conserved from our results it becomes evident that tsalliss formalism is a very specific generalization however not the only one we also revisit the jayness maximum entropy principle showing that in general it can lead to incorrect results and consider the appropriate corrections | [['we', 'reconsider', 'the', 'boltzmanngibbs', 'statistical', 'ensemble', 'in', 'thermodynamics', 'using', 'the', 'multinomial', 'coefficient', 'approach', 'we', 'show', 'that', 'an', 'ensemble', 'is', 'defined', 'by', 'the', 'determination', 'of', 'four', 'statistical', 'quantities', 'the', 'element', 'probabilities', 'p_i', 'the', 'configuration', 'probabilities', 'p_j', 'the', 'entropy', 's', 'and', 'the', 'extremum', 'constraints', 'ec', 'this', 'distinction', 'is', 'of', 'central', 'importance', 'for', 'the', 'understanding', 'of', 'the', 'conditions', 'under', 'which', 'a', 'microcanonical', 'canonical', 'and', 'macrocanonical', 'ensemble', 'is', 'defined', 'these', 'three', 'ensembles', 'are', 'characterized', 'by', 'the', 'conservation', 'of', 'their', 'sizes', 'a', 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712.2311 | Conformal maps from a 2-torus to the 4-sphere | We study the space of conformal immersions of a 2-torus into the 4-sphere.
The moduli space of generalized Darboux transforms of such an immersed torus
has the structure of a Riemann surface, the spectral curve. This Riemann
surface arises as the zero locus of the determinant of a holomorphic family of
Dirac type operators parameterized over the complexified dual torus. The kernel
line bundle of this family over the spectral curve describes the generalized
Darboux transforms of the conformally immersed torus. If the spectral curve has
finite genus the kernel bundle can be extended to the compactification of the
spectral curve and we obtain a linear 2-torus worth of algebraic curves in
projective 3-space. The original conformal immersion of the 2-torus is
recovered as the orbit under this family of the point at infinity on the
spectral curve projected to the 4-sphere via the twistor fibration.
| math.DG | we study the space of conformal immersions of a 2torus into the 4sphere the moduli space of generalized darboux transforms of such an immersed torus has the structure of a riemann surface the spectral curve this riemann surface arises as the zero locus of the determinant of a holomorphic family of dirac type operators parameterized over the complexified dual torus the kernel line bundle of this family over the spectral curve describes the generalized darboux transforms of the conformally immersed torus if the spectral curve has finite genus the kernel bundle can be extended to the compactification of the spectral curve and we obtain a linear 2torus worth of algebraic curves in projective 3space the original conformal immersion of the 2torus is recovered as the orbit under this family of the point at infinity on the spectral curve projected to the 4sphere via the twistor fibration | [['we', 'study', 'the', 'space', 'of', 'conformal', 'immersions', 'of', 'a', '2torus', 'into', 'the', '4sphere', 'the', 'moduli', 'space', 'of', 'generalized', 'darboux', 'transforms', 'of', 'such', 'an', 'immersed', 'torus', 'has', 'the', 'structure', 'of', 'a', 'riemann', 'surface', 'the', 'spectral', 'curve', 'this', 'riemann', 'surface', 'arises', 'as', 'the', 'zero', 'locus', 'of', 'the', 'determinant', 'of', 'a', 'holomorphic', 'family', 'of', 'dirac', 'type', 'operators', 'parameterized', 'over', 'the', 'complexified', 'dual', 'torus', 'the', 'kernel', 'line', 'bundle', 'of', 'this', 'family', 'over', 'the', 'spectral', 'curve', 'describes', 'the', 'generalized', 'darboux', 'transforms', 'of', 'the', 'conformally', 'immersed', 'torus', 'if', 'the', 'spectral', 'curve', 'has', 'finite', 'genus', 'the', 'kernel', 'bundle', 'can', 'be', 'extended', 'to', 'the', 'compactification', 'of', 'the', 'spectral', 'curve', 'and', 'we', 'obtain', 'a', 'linear', '2torus', 'worth', 'of', 'algebraic', 'curves', 'in', 'projective', '3space', 'the', 'original', 'conformal', 'immersion', 'of', 'the', '2torus', 'is', 'recovered', 'as', 'the', 'orbit', 'under', 'this', 'family', 'of', 'the', 'point', 'at', 'infinity', 'on', 'the', 'spectral', 'curve', 'projected', 'to', 'the', '4sphere', 'via', 'the', 'twistor', 'fibration']] | [-0.20495641808191392, 0.03953915210976983, -0.1455242166659246, 0.07544612040749611, -0.12526652157108925, -0.11493502182197081, -0.02190782452219051, 0.3376264052006276, -0.30869785072409534, -0.16025705086163003, 0.10910948778882189, -0.2531825819288776, -0.1512088730854735, 0.1929964935534621, -0.14471978944573194, 0.03958754571894669, 0.02958421751837667, 0.062304493961600614, -0.19483029863108203, -0.2704391557059876, 0.4572554370834913, -0.027497522611081703, 0.2106537345592698, 0.04052495220093988, 0.1394654546807718, 0.03638198844648336, 0.0369145899328518, -0.03653353587636558, -0.13838975576760426, 0.13040864232477847, 0.22846570259840418, 0.07486914562329344, 0.10763889734716194, -0.3500058825051233, -0.2681377642622141, 0.2188780525291007, 0.14897015695268773, -0.05251346687365272, 0.04811839052166611, -0.26073790189159446, 0.015715520242101527, -0.07952643280262, -0.25431380310567886, -0.04614693061002109, 0.008132548776314887, -0.014057365467784645, -0.1095544312484977, -0.03742653888981942, 0.12454836901551597, 0.11581399041700037, -0.06275585718606025, -0.05048454145833926, -0.14314708906889267, 0.03612669553824586, 0.05384161428720627, 0.10657883095650691, 0.11676493074349446, -0.058365448529525875, -0.02520261268762948, 0.38306725186284646, -0.14957786311893023, -0.2478583326997006, 0.05331569013173041, -0.13952471591669377, -0.11032013400387632, 0.2082425737881089, 0.1254820151809501, 0.17957133126815092, -0.06026553763882002, 0.22569098255478645, -0.11437104887979692, 0.07922864826623356, 0.08746097886883845, -0.06297702454221882, 0.21179731179360453, 0.08824419618180748, 0.07793053341008825, 0.1812829089299967, -0.10932704408442576, -0.09204979798571551, -0.3949550683163617, -0.2606145897457593, -0.1490361387139722, 0.17558891330654286, -0.17942026875781977, -0.22259538190771047, 0.4691109831543792, -0.04671612501958519, 0.23281579032820993, 0.0996051997447479, 0.1984593832501759, 0.09848861860538743, 0.07223707325365841, 0.0658157570064323, 0.17003475121311742, 0.18845228291410085, -0.0036638356100971974, -0.19893088571931403, -0.12489426137930522, 0.2532287135605432] |
712.2312 | Positrons from dark matter annihilation in the galactic halo:
theoretical uncertainties | Indirect detection signals from dark matter annihilation are studied in the
positron channel. We discuss in detail the positron propagation inside the
galactic medium: we present novel solutions of the diffusion and propagation
equations and we focus on the determination of the astrophysical uncertainties
which affect the positron dark matter signal. We find dark matter scenarios and
propagation models that nicely fit existing data on the positron fraction.
Finally, we present predictions both on the positron fraction and on the flux
for already running or planned space experiments, concluding that they have the
potential to discriminate a possible signal from the background and, in some
cases, to distinguish among different astrophysical propagation models.
| astro-ph hep-ph | indirect detection signals from dark matter annihilation are studied in the positron channel we discuss in detail the positron propagation inside the galactic medium we present novel solutions of the diffusion and propagation equations and we focus on the determination of the astrophysical uncertainties which affect the positron dark matter signal we find dark matter scenarios and propagation models that nicely fit existing data on the positron fraction finally we present predictions both on the positron fraction and on the flux for already running or planned space experiments concluding that they have the potential to discriminate a possible signal from the background and in some cases to distinguish among different astrophysical propagation models | [['indirect', 'detection', 'signals', 'from', 'dark', 'matter', 'annihilation', 'are', 'studied', 'in', 'the', 'positron', 'channel', 'we', 'discuss', 'in', 'detail', 'the', 'positron', 'propagation', 'inside', 'the', 'galactic', 'medium', 'we', 'present', 'novel', 'solutions', 'of', 'the', 'diffusion', 'and', 'propagation', 'equations', 'and', 'we', 'focus', 'on', 'the', 'determination', 'of', 'the', 'astrophysical', 'uncertainties', 'which', 'affect', 'the', 'positron', 'dark', 'matter', 'signal', 'we', 'find', 'dark', 'matter', 'scenarios', 'and', 'propagation', 'models', 'that', 'nicely', 'fit', 'existing', 'data', 'on', 'the', 'positron', 'fraction', 'finally', 'we', 'present', 'predictions', 'both', 'on', 'the', 'positron', 'fraction', 'and', 'on', 'the', 'flux', 'for', 'already', 'running', 'or', 'planned', 'space', 'experiments', 'concluding', 'that', 'they', 'have', 'the', 'potential', 'to', 'discriminate', 'a', 'possible', 'signal', 'from', 'the', 'background', 'and', 'in', 'some', 'cases', 'to', 'distinguish', 'among', 'different', 'astrophysical', 'propagation', 'models']] | [-0.07077424779361262, 0.12560570270051785, -0.062462639739423724, 0.1558440092485398, -0.08612230380964095, -0.08030916260456485, 0.012015766319942422, 0.3753677643505873, -0.2411320423789784, -0.34944965908781883, 0.04348463029909747, -0.3251877917158129, -0.0441391565363063, 0.20737502672215016, 0.05441713290890695, 0.0374637758441731, 0.054241107323462455, 0.0071645262362682715, -0.028936582285214413, -0.23751186091551738, 0.3065849125912759, 0.09722845989023954, 0.255223624531872, 0.08962803385096842, 0.09003874932444629, -0.018934345036637927, -0.10644906497997257, -0.054964003966136994, -0.1518894771194607, 0.05076180283491195, 0.21200337662832633, 0.16694464051828925, 0.09974693412793618, -0.47389092659000803, -0.27991451313554316, 0.19052272226117486, 0.16186400612948082, 0.10418411605039496, -0.13142667481247172, -0.32650740772683534, 0.014953402052345001, -0.16441570470867828, -0.06672281297171011, -0.04243704438234259, -0.020866931490270437, 0.04516791404365043, -0.20216645405303782, 0.09389971838893155, -0.029155952044128054, -0.08824105794846485, -0.12580916834006137, -0.14080173450530367, 0.04863089867002141, 0.022651675414804995, 0.09433602031106048, -0.029132343433072083, 0.19000648356875224, -0.19390249768255557, -0.10977042112417057, 0.4108338969537115, -0.10158712933081063, -0.17815239185187143, 0.20604078906054601, -0.17743638009389254, -0.14032365660290275, 0.12395707812918498, 0.242629312535138, 0.05083916562947288, -0.13101676105628762, 0.07490095418447267, -0.02327065458273993, 0.14503893104126364, 0.03584969907677609, 0.034736927920144746, 0.28075963723580394, 0.17146349672755573, 0.019569398679737563, 0.04106735049920008, -0.18938387018026767, -0.03577546195582429, -0.33600142457784127, -0.11618877069991643, -0.082645563425216, -0.005571743976159961, -0.04207787783010306, -0.09804919242562182, 0.3998903275582841, 0.17834095204397377, 0.20338892230590955, 0.002157739867390323, 0.35853085900549736, 0.05368880300980424, 0.0023015101143546335, 0.06758102915554712, 0.35540137558364704, 0.11635705728940995, 0.10551428001382249, -0.2329351501003633, 0.05300004415593184, -0.06478165372777565] |
712.2313 | Critical dynamics of ballistic and Brownian particles in a heterogeneous
environment | The dynamic properties of a classical tracer particle in a random, disordered
medium are investigated close to the localization transition. For Lorentz
models obeying Newtonian and diffusive motion at the microscale, we have
performed large-scale computer simulations, demonstrating that universality
holds at long times in the immediate vicinity of the transition. The scaling
function describing the crossover from anomalous transport to diffusive motion
is found to vary extremely slowly and spans at least 5 decades in time. To
extract the scaling function, one has to allow for the leading universal
corrections to scaling. Our findings suggest that apparent power laws with
varying exponents generically occur and dominate experimentally accessible time
windows as soon as the heterogeneities cover a decade in length scale. We
extract the divergent length scales, quantify the spatial heterogeneities in
terms of the non-Gaussian parameter, and corroborate our results by a thorough
finite-size analysis.
| cond-mat.soft cond-mat.stat-mech | the dynamic properties of a classical tracer particle in a random disordered medium are investigated close to the localization transition for lorentz models obeying newtonian and diffusive motion at the microscale we have performed largescale computer simulations demonstrating that universality holds at long times in the immediate vicinity of the transition the scaling function describing the crossover from anomalous transport to diffusive motion is found to vary extremely slowly and spans at least 5 decades in time to extract the scaling function one has to allow for the leading universal corrections to scaling our findings suggest that apparent power laws with varying exponents generically occur and dominate experimentally accessible time windows as soon as the heterogeneities cover a decade in length scale we extract the divergent length scales quantify the spatial heterogeneities in terms of the nongaussian parameter and corroborate our results by a thorough finitesize analysis | [['the', 'dynamic', 'properties', 'of', 'a', 'classical', 'tracer', 'particle', 'in', 'a', 'random', 'disordered', 'medium', 'are', 'investigated', 'close', 'to', 'the', 'localization', 'transition', 'for', 'lorentz', 'models', 'obeying', 'newtonian', 'and', 'diffusive', 'motion', 'at', 'the', 'microscale', 'we', 'have', 'performed', 'largescale', 'computer', 'simulations', 'demonstrating', 'that', 'universality', 'holds', 'at', 'long', 'times', 'in', 'the', 'immediate', 'vicinity', 'of', 'the', 'transition', 'the', 'scaling', 'function', 'describing', 'the', 'crossover', 'from', 'anomalous', 'transport', 'to', 'diffusive', 'motion', 'is', 'found', 'to', 'vary', 'extremely', 'slowly', 'and', 'spans', 'at', 'least', '5', 'decades', 'in', 'time', 'to', 'extract', 'the', 'scaling', 'function', 'one', 'has', 'to', 'allow', 'for', 'the', 'leading', 'universal', 'corrections', 'to', 'scaling', 'our', 'findings', 'suggest', 'that', 'apparent', 'power', 'laws', 'with', 'varying', 'exponents', 'generically', 'occur', 'and', 'dominate', 'experimentally', 'accessible', 'time', 'windows', 'as', 'soon', 'as', 'the', 'heterogeneities', 'cover', 'a', 'decade', 'in', 'length', 'scale', 'we', 'extract', 'the', 'divergent', 'length', 'scales', 'quantify', 'the', 'spatial', 'heterogeneities', 'in', 'terms', 'of', 'the', 'nongaussian', 'parameter', 'and', 'corroborate', 'our', 'results', 'by', 'a', 'thorough', 'finitesize', 'analysis']] | [-0.11318863307436307, 0.19726464195100932, -0.11425439091351795, 0.07492612679663184, -0.01584088931582412, -0.13346396833119697, 0.009435405210294083, 0.33133129454708854, -0.2826636250124497, -0.28814056303453484, 0.06831672886500553, -0.2942340542466481, -0.12467323448572333, 0.19785260300700028, 0.04716665054462394, 0.07453985424073996, -0.006987108622493894, -0.007005569101374622, -0.07453700712229423, -0.17431270495868054, 0.25498967058798233, 0.06479905435790112, 0.2799279648354467, 0.07160609400178604, 0.08513733322358355, -0.027656034227511308, -0.03301028175070426, 0.0627889468391635, -0.1761267390265486, -0.005341709576797399, 0.2271507055150255, -0.010826108803763529, 0.23933550959997843, -0.42069886632415715, -0.26205956406331443, 0.07029013297216473, 0.19262517317511826, 0.10530961295399739, 0.005380133692758018, -0.25484797091470385, 0.08339849710709979, -0.12941038629299878, -0.18698765527295444, -0.06598515167822872, 0.08359770409027938, 0.02481128066995175, -0.23632914389223875, 0.15511433398081814, 0.022637825212156286, 0.057461754737863774, -0.026987651637818688, -0.04638173892473577, 0.03566081880205343, 0.17507803534255775, 0.08299690538060656, 0.010393399738890379, 0.18197659157900786, -0.14349907872007311, -0.09591058752623063, 0.3917939991303751, -0.05570903262535275, -0.14236892916921046, 0.23580788610642459, -0.22194859908488232, -0.13492804349457121, 0.1668800846420127, 0.18263674387233142, 0.07484429707349956, -0.11208855232768723, 0.050299312046659335, -0.0015055560174265078, 0.170227475572048, 0.04662374698804045, 0.05436391939906416, 0.2078671751885998, 0.19565083989936885, 0.01602137695560802, 0.11895020403123151, -0.09576321368226084, -0.15350365237694005, -0.28651027176149035, -0.1123232412196341, -0.1923184997475782, 0.06556895693374455, -0.1545403168950908, -0.1584566806531733, 0.3696760432541269, 0.2028888411147577, 0.22395967496685734, 0.11051380200957765, 0.23206845197041018, 0.1249696280855565, 0.0985534731916399, 0.0798176896954779, 0.2639378075215484, 0.09528290480850454, 0.13863989388012662, -0.24321833609121846, 0.06588104643168397, 0.03553002324987988] |
712.2314 | Side-gated transport in FIB-fabricated multilayered graphene nanoribbons | In this Letter, we present the patterning, exfoliation and micromanipulation
of thin graphitic discs which are subsequently connected and patterned into
sub-100nm wide ribbons with a resist-free process using Focused Ion Beam (FIB)
lithography and deposition. The electronic transport properties of the double
side-gated nanoribbons are then investigated down to 40 K and interpreted with
a simple model of 1D array of tunnelling junctions.
| cond-mat.mtrl-sci | in this letter we present the patterning exfoliation and micromanipulation of thin graphitic discs which are subsequently connected and patterned into sub100nm wide ribbons with a resistfree process using focused ion beam fib lithography and deposition the electronic transport properties of the double sidegated nanoribbons are then investigated down to 40 k and interpreted with a simple model of 1d array of tunnelling junctions | [['in', 'this', 'letter', 'we', 'present', 'the', 'patterning', 'exfoliation', 'and', 'micromanipulation', 'of', 'thin', 'graphitic', 'discs', 'which', 'are', 'subsequently', 'connected', 'and', 'patterned', 'into', 'sub100nm', 'wide', 'ribbons', 'with', 'a', 'resistfree', 'process', 'using', 'focused', 'ion', 'beam', 'fib', 'lithography', 'and', 'deposition', 'the', 'electronic', 'transport', 'properties', 'of', 'the', 'double', 'sidegated', 'nanoribbons', 'are', 'then', 'investigated', 'down', 'to', '40', 'k', 'and', 'interpreted', 'with', 'a', 'simple', 'model', 'of', '1d', 'array', 'of', 'tunnelling', 'junctions']] | [-0.10372157616075128, 0.18137653779558605, -0.02821716079961334, -0.0767637962461265, 0.01851479623292107, -0.2098186648745468, 0.0581079365547339, 0.49772368144476786, -0.27966644353000447, -0.3181228240573546, 0.05022581576304219, -0.25807175401132554, -0.09042604870774085, 0.2124852882079722, 0.027496400842210278, 0.10956327201711247, 0.05122404792928137, -0.19741394589073025, -0.04709223797544837, -0.16457973459910136, 0.23712835663172882, 0.057555084276827984, 0.29144413412723225, 0.1042605202019331, 0.07148735558439512, 0.009978847556340043, 0.0875600834551733, 0.04970990245783469, -0.22428643950115656, 0.11242965153360274, 0.20307724008671357, -0.11573655196116306, 0.16865104576572776, -0.5726178199984133, -0.2368965896894224, -0.06529221092932858, 0.18177151726558805, 0.11917441987498023, -0.11790550602017902, -0.2316476958221756, 0.10036254982423998, -0.11523768127517542, -0.06185336499038385, -0.020185707486234605, -0.05050400734762661, 0.044527182399178855, -0.19882321625209443, -0.001584992787684314, 0.05332317324246105, 0.06926923255377915, -0.005214951968810055, -0.09172074796515517, -0.09816421865252778, 0.011395430337870494, -0.04639717051986736, -0.025965731825635885, 0.25940307111886796, -0.08194671989258495, -0.09133630939322757, 0.3475478102081979, -0.03633409743088123, -0.08960604202002287, 0.17036114464281127, -0.17013978140312247, -0.04638495751169103, 0.17238534765056102, 0.14428419573232532, 0.18091302848188207, -0.2217436523642391, 0.03863628520412021, 0.005793427014396002, 0.1454788659605697, 0.18593143970065285, 0.03572452545631677, 0.27047818512801314, 0.2877656481414306, -0.030702357536938507, 0.18516175221179765, -0.15351278937305324, -0.005464806214149576, -0.19058566344051542, -0.20328240501112305, -0.16037586095626466, 0.12903951667976798, -0.02340427877697948, -0.2547811948679737, 0.4083957537950482, 0.08171901170499041, 0.20058183989749523, -0.04836426899237267, 0.26170080777228577, 0.060172038414748386, 0.08743806130587473, -0.01824188424507156, 0.17766760080849053, 0.22242878028191626, 0.11376029643383845, -0.19076229429629166, 0.02429088961071102, -0.04046820686926367] |
712.2315 | Phase switching in a voltage-biased Aharonov-Bohm interferometer | Recent experiment [Sigrist et al., Phys. Rev. Lett. {\bf 98}, 036805 (2007)]
reported switches between 0 and $\pi$ in the phase of Aharonov-Bohm
oscillations of the two-terminal differential conductance through a two-dot
ring with increasing voltage bias. Using a simple model, where one of the dots
contains multiple interacting levels, these findings are explained as a result
of transport through the interferometer being dominated at different biases by
quantum dot levels of different "parity" (i.e. the sign of the overlap integral
between the dot state and the states in the leads). The redistribution of
electron population between different levels with bias leads to the fact that
the number of switching events is not necessarily equal to the number of dot
levels, in agreement with experiment. For the same reason switching does not
always imply that the parity of levels is strictly alternating. Lastly, it is
demonstrated that the correlation between the first switching of the phase and
the onset of the inelastic cotunneling, as well as the sharp (rather than
gradual) change of phase when switching occurs, give reason to think that the
present interpretation of the experiment is preferable to the one based on
electrostatic AB effect.
| cond-mat.mes-hall | recent experiment sigrist et al phys rev lett bf 98 036805 2007 reported switches between 0 and pi in the phase of aharonovbohm oscillations of the twoterminal differential conductance through a twodot ring with increasing voltage bias using a simple model where one of the dots contains multiple interacting levels these findings are explained as a result of transport through the interferometer being dominated at different biases by quantum dot levels of different parity ie the sign of the overlap integral between the dot state and the states in the leads the redistribution of electron population between different levels with bias leads to the fact that the number of switching events is not necessarily equal to the number of dot levels in agreement with experiment for the same reason switching does not always imply that the parity of levels is strictly alternating lastly it is demonstrated that the correlation between the first switching of the phase and the onset of the inelastic cotunneling as well as the sharp rather than gradual change of phase when switching occurs give reason to think that the present interpretation of the experiment is preferable to the one based on electrostatic ab effect | [['recent', 'experiment', 'sigrist', 'et', 'al', 'phys', 'rev', 'lett', 'bf', '98', '036805', '2007', 'reported', 'switches', 'between', '0', 'and', 'pi', 'in', 'the', 'phase', 'of', 'aharonovbohm', 'oscillations', 'of', 'the', 'twoterminal', 'differential', 'conductance', 'through', 'a', 'twodot', 'ring', 'with', 'increasing', 'voltage', 'bias', 'using', 'a', 'simple', 'model', 'where', 'one', 'of', 'the', 'dots', 'contains', 'multiple', 'interacting', 'levels', 'these', 'findings', 'are', 'explained', 'as', 'a', 'result', 'of', 'transport', 'through', 'the', 'interferometer', 'being', 'dominated', 'at', 'different', 'biases', 'by', 'quantum', 'dot', 'levels', 'of', 'different', 'parity', 'ie', 'the', 'sign', 'of', 'the', 'overlap', 'integral', 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'one', 'based', 'on', 'electrostatic', 'ab', 'effect']] | [-0.16588873743676966, 0.16670438498605486, -0.05654606047660263, 0.00662240265830975, -0.02368500669994815, -0.1512745168751501, 0.08391832124625305, 0.34522343682350987, -0.23204845674053737, -0.3583064574484873, -0.006552241793763118, -0.27447108970955014, -0.14938472158092103, 0.1870624545898119, -0.03164977590598147, -0.024368301541967827, 0.03173050325483817, 0.010216076322125666, -0.05519483930130273, -0.2116970020849634, 0.2861722092252375, 0.061279389061235985, 0.3012759870111077, 0.06362364737015933, 0.07333655054037191, 0.016816458667186323, 0.03860956908531741, 0.025992921336596322, -0.09016744327410113, 0.033596160046396435, 0.23366380017133184, 0.019395494389093736, 0.23437192722345995, -0.4563017422568542, -0.15399083786766338, 0.0879334879514639, 0.10601228299183828, 0.110160667676187, -0.02369985117055499, -0.2794782994315028, 0.05207909085444466, -0.16176636188968338, -0.0725505545951727, -0.015633055556629024, 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712.2316 | Boundary Ring or a Way to Construct Approximate NG Solutions with
Polygon Boundary Conditions. II. Polygons which admit an inscribed circle | We further develop the formalism of arXiv:0712.0159 for approximate solution
of Nambu-Goto (NG) equations with polygon conditions in AdS backgrounds, needed
in modern studies of the string/gauge duality. Inscribed circle condition is
preserved, which leaves only one unknown function y_0(y_1,y_2) to solve for,
what considerably simplifies our presentation. The problem is to find a
delicate balance -- if not exact match -- between two different structures: NG
equation -- a non-linear deformation of Laplace equation with solutions
non-linearly deviating from holomorphic functions, -- and the boundary ring,
associated with polygons made from null segments in Minkovski space. We provide
more details about the theory of these structures and suggest an extended class
of functions to be used at the next stage of Alday-Maldacena program:
evaluation of regularized NG actions.
| hep-th | we further develop the formalism of arxiv07120159 for approximate solution of nambugoto ng equations with polygon conditions in ads backgrounds needed in modern studies of the stringgauge duality inscribed circle condition is preserved which leaves only one unknown function y_0y_1y_2 to solve for what considerably simplifies our presentation the problem is to find a delicate balance if not exact match between two different structures ng equation a nonlinear deformation of laplace equation with solutions nonlinearly deviating from holomorphic functions and the boundary ring associated with polygons made from null segments in minkovski space we provide more details about the theory of these structures and suggest an extended class of functions to be used at the next stage of aldaymaldacena program evaluation of regularized ng actions | [['we', 'further', 'develop', 'the', 'formalism', 'of', 'arxiv07120159', 'for', 'approximate', 'solution', 'of', 'nambugoto', 'ng', 'equations', 'with', 'polygon', 'conditions', 'in', 'ads', 'backgrounds', 'needed', 'in', 'modern', 'studies', 'of', 'the', 'stringgauge', 'duality', 'inscribed', 'circle', 'condition', 'is', 'preserved', 'which', 'leaves', 'only', 'one', 'unknown', 'function', 'y_0y_1y_2', 'to', 'solve', 'for', 'what', 'considerably', 'simplifies', 'our', 'presentation', 'the', 'problem', 'is', 'to', 'find', 'a', 'delicate', 'balance', 'if', 'not', 'exact', 'match', 'between', 'two', 'different', 'structures', 'ng', 'equation', 'a', 'nonlinear', 'deformation', 'of', 'laplace', 'equation', 'with', 'solutions', 'nonlinearly', 'deviating', 'from', 'holomorphic', 'functions', 'and', 'the', 'boundary', 'ring', 'associated', 'with', 'polygons', 'made', 'from', 'null', 'segments', 'in', 'minkovski', 'space', 'we', 'provide', 'more', 'details', 'about', 'the', 'theory', 'of', 'these', 'structures', 'and', 'suggest', 'an', 'extended', 'class', 'of', 'functions', 'to', 'be', 'used', 'at', 'the', 'next', 'stage', 'of', 'aldaymaldacena', 'program', 'evaluation', 'of', 'regularized', 'ng', 'actions']] | [-0.10670633398694918, 0.06325273300994848, -0.11815882805490592, 0.0994493846369327, -0.11963692933252296, -0.14748978222573375, 0.007183267705363878, 0.3296830081342735, -0.2716954193062714, -0.28093774185409065, 0.10286205523880199, -0.26389572724364085, -0.1748175689889515, 0.1788171814276539, -0.05003821556494556, 0.05654693679639795, 0.07351365926309077, 0.040755110172808674, -0.10047118880282171, -0.2393024828758274, 0.3435020219786551, 0.034233014313046074, 0.247707170915225, 0.007437170544242273, 0.10163055375847226, 0.004437951760397094, -0.009748687788263941, 0.018015742706293317, -0.15016418643349203, 0.13605207201097252, 0.24293154153636978, 0.1270161645074726, 0.22186722230456282, -0.47490352022721144, -0.170964125297643, 0.09168425292066741, 0.1384159104400467, 0.08933199424445476, 0.0021389167669723496, -0.26382387819562536, 0.07369921414694963, -0.09982296297723642, -0.1935654603379977, -0.05519591422262983, 0.011340773756020382, -0.01946459312714188, -0.25339622168274994, 0.05550421596520015, 0.04915140105838903, 0.020925407358979593, -0.08936439186227738, -0.08402039506305659, -0.036401288845332065, 0.08296015217411713, 0.07643033807799525, 0.04396392685193263, 0.08433587965555489, -0.14765550388542356, -0.08317112237153972, 0.37072398791043853, -0.03151443936541432, -0.2686100785208286, 0.1410955940335073, -0.1445964966961717, -0.16033104511710708, 0.1413640379791194, 0.1282597025551024, 0.157459387204564, -0.13250331049422412, 0.11684533536766244, -0.038848553926370974, 0.1528266799904799, 0.11297793363480539, -0.014208749180934468, 0.19868724702353605, 0.10081669422187155, 0.10310999388624265, 0.16001445388127516, 0.02967086606840298, -0.11024922540136536, -0.3540772849266402, -0.11603042115360145, -0.12248799499681555, 0.06353234630051836, -0.10415996612812065, -0.1878575448172938, 0.36062325707819987, 0.12999984479297455, 0.18306919306394506, 0.07852021152187963, 0.22277340003991591, 0.12424282327038617, 0.05361365981745442, 0.07925793410924867, 0.2095452241187335, 0.13834943712429434, 0.0503509845546462, -0.19375997343573903, -0.03221519759352334, 0.1397748250804353] |
712.2317 | A nonlinear Stein based estimator for multichannel image denoising | The use of multicomponent images has become widespread with the improvement
of multisensor systems having increased spatial and spectral resolutions.
However, the observed images are often corrupted by an additive Gaussian noise.
In this paper, we are interested in multichannel image denoising based on a
multiscale representation of the images. A multivariate statistical approach is
adopted to take into account both the spatial and the inter-component
correlations existing between the different wavelet subbands. More precisely,
we propose a new parametric nonlinear estimator which generalizes many reported
denoising methods. The derivation of the optimal parameters is achieved by
applying Stein's principle in the multivariate case. Experiments performed on
multispectral remote sensing images clearly indicate that our method
outperforms conventional wavelet denoising techniques
| physics.data-an stat.AP | the use of multicomponent images has become widespread with the improvement of multisensor systems having increased spatial and spectral resolutions however the observed images are often corrupted by an additive gaussian noise in this paper we are interested in multichannel image denoising based on a multiscale representation of the images a multivariate statistical approach is adopted to take into account both the spatial and the intercomponent correlations existing between the different wavelet subbands more precisely we propose a new parametric nonlinear estimator which generalizes many reported denoising methods the derivation of the optimal parameters is achieved by applying steins principle in the multivariate case experiments performed on multispectral remote sensing images clearly indicate that our method outperforms conventional wavelet denoising techniques | [['the', 'use', 'of', 'multicomponent', 'images', 'has', 'become', 'widespread', 'with', 'the', 'improvement', 'of', 'multisensor', 'systems', 'having', 'increased', 'spatial', 'and', 'spectral', 'resolutions', 'however', 'the', 'observed', 'images', 'are', 'often', 'corrupted', 'by', 'an', 'additive', 'gaussian', 'noise', 'in', 'this', 'paper', 'we', 'are', 'interested', 'in', 'multichannel', 'image', 'denoising', 'based', 'on', 'a', 'multiscale', 'representation', 'of', 'the', 'images', 'a', 'multivariate', 'statistical', 'approach', 'is', 'adopted', 'to', 'take', 'into', 'account', 'both', 'the', 'spatial', 'and', 'the', 'intercomponent', 'correlations', 'existing', 'between', 'the', 'different', 'wavelet', 'subbands', 'more', 'precisely', 'we', 'propose', 'a', 'new', 'parametric', 'nonlinear', 'estimator', 'which', 'generalizes', 'many', 'reported', 'denoising', 'methods', 'the', 'derivation', 'of', 'the', 'optimal', 'parameters', 'is', 'achieved', 'by', 'applying', 'steins', 'principle', 'in', 'the', 'multivariate', 'case', 'experiments', 'performed', 'on', 'multispectral', 'remote', 'sensing', 'images', 'clearly', 'indicate', 'that', 'our', 'method', 'outperforms', 'conventional', 'wavelet', 'denoising', 'techniques']] | [-0.04657796947458713, -0.010734700375454969, -0.12741291807764324, 0.0821535762058848, -0.041925091873700464, -0.1598108295420539, -0.02149913257203442, 0.43938863799283817, -0.26433769857880374, -0.27190933392714123, 0.10698444905117431, -0.24348657347900746, -0.20395147094641589, 0.21609100773603432, -0.1401309774695965, 0.09779637612206168, 0.09894686495531196, -0.01423264115525425, -0.08965886512979064, -0.24877535945481874, 0.30151250627669235, 0.04207010026482388, 0.36770098554817116, -0.048648741273286424, 0.1350216208225932, 0.04066561692017169, -0.12573047836738338, -0.007010198215817386, -0.052423676508894936, 0.1658396208812752, 0.30020980170566186, 0.11441221265584108, 0.31512204973673646, -0.4102047382553747, -0.284230212580936, 0.11072269662414208, 0.15800943002412635, 0.07716191570516984, -0.04906493228004403, -0.35525235700544183, 0.049530837695452974, -0.11793602054769342, 0.010434465442422377, -0.12117043332281438, -0.07011957222996049, -0.014721202507253336, -0.33503908764047563, 0.14041139581240714, 0.07993815820433262, 0.08355010871213576, -0.04405113271522251, -0.15513157011740955, 0.056630356858815414, 0.10088552631560929, 0.01906284539044396, -0.016940938734087693, 0.12145429185961089, -0.1208080577390838, -0.12134620157062762, 0.34202556728437344, -0.061271133424698816, -0.2252576007730951, 0.1921138820172988, -0.09523087885415504, -0.14261992037881258, 0.14953088721891572, 0.17018811543248902, 0.08805660505525091, -0.17287421037927886, 0.048929355364131226, -0.046837580001582044, 0.1861313333165301, 0.0796096214470415, 0.038520795720329216, 0.12481573536945892, 0.1993444199050384, 0.061600439199958425, 0.1464073900672153, -0.20295796883946732, -0.03229337805989853, -0.18669207847180722, -0.0828609254234278, -0.23971750734235384, -0.06020531881108018, -0.12607607350098776, -0.14679928887096688, 0.41268726262795036, 0.22609698377580437, 0.18409932225419223, 0.039313688936781846, 0.3754017210473145, 0.11759814444432913, 0.07729886082955444, 0.022649556754372458, 0.18523688757626633, 0.11864867178080526, 0.11022041430158064, -0.1567266944166627, 0.028955010356658623, 0.03588332268524884] |
712.2318 | Mixed anomalies of chiral algebras compactified to smooth
quasi-projective surfaces | Some time ago, the chiral algebra theory of Beilinson-Drinfeld was expected
to play a central role in the convergence of divergence in mathematical physics
of superstring theory for quantization of gauge theory and gravity. Naively,
this algebra plays an important role in a holomorphic conformal field theory
with a non-negative integer graded conformal dimension, whose target space does
not necessarily have the vanishing first Chern class. This algebra has two
definitions until now: one is that by Malikov-Schechtman-Vaintrob by gluing
affine patches, and the other is that of Kapranov-Vasserot by gluing the formal
loop spaces. I will use the new definition of Nekrasov by simplifying
Malikov-Schechtman-Vaintrob in order to compute the obstruction classes of
gerbes of chiral differential operators.
In this paper, I will examine the two independent Ans$\"{a}$tze (or working
hypotheses) of Witten's $\mathcal{N}=(0,2)$ heterotic strings and Nekrasov's
generalized complex geometry, after Hitchin and Gualtieri, are consistent in
the case of $\mathbb{CP}^2$, which has $3$ affine patches and is expected to
have the "first Pontryagin anomaly".
I also scrutinized the physical meanings of $2$ dimensional toric Fano
manifolds, or rather toric del Pezzo surfaces, obtained by blowing up the
non-colinear $1, 2, 3$ points of $\mathbb{CP}^2$. The obstruction classes of
gerbes of them coincide with the second Chern characters obtained by the
Riemann-Roch theorem and in particular vanishes for $1$ point blowup, which
means that one of the gravitational anomalies vanishes for a non-Calabi-Yau
manifold compactification.
The future direction towards the geometric Langlands program is also
discussed in the last section.
| hep-th math.AG | some time ago the chiral algebra theory of beilinsondrinfeld was expected to play a central role in the convergence of divergence in mathematical physics of superstring theory for quantization of gauge theory and gravity naively this algebra plays an important role in a holomorphic conformal field theory with a nonnegative integer graded conformal dimension whose target space does not necessarily have the vanishing first chern class this algebra has two definitions until now one is that by malikovschechtmanvaintrob by gluing affine patches and the other is that of kapranovvasserot by gluing the formal loop spaces i will use the new definition of nekrasov by simplifying malikovschechtmanvaintrob in order to compute the obstruction classes of gerbes of chiral differential operators in this paper i will examine the two independent ansatze or working hypotheses of wittens mathcaln02 heterotic strings and nekrasovs generalized complex geometry after hitchin and gualtieri are consistent in the case of mathbbcp2 which has 3 affine patches and is expected to have the first pontryagin anomaly i also scrutinized the physical meanings of 2 dimensional toric fano manifolds or rather toric del pezzo surfaces obtained by blowing up the noncolinear 1 2 3 points of mathbbcp2 the obstruction classes of gerbes of them coincide with the second chern characters obtained by the riemannroch theorem and in particular vanishes for 1 point blowup which means that one of the gravitational anomalies vanishes for a noncalabiyau manifold compactification the future direction towards the geometric langlands program is also discussed in the last section | [['some', 'time', 'ago', 'the', 'chiral', 'algebra', 'theory', 'of', 'beilinsondrinfeld', 'was', 'expected', 'to', 'play', 'a', 'central', 'role', 'in', 'the', 'convergence', 'of', 'divergence', 'in', 'mathematical', 'physics', 'of', 'superstring', 'theory', 'for', 'quantization', 'of', 'gauge', 'theory', 'and', 'gravity', 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712.2319 | Room-temperature magnetoresistance switching of Py thin films induced by
Fe-nanoparticles grown by STM-assisted CVD | Arrays of Fe-nanoparticles grown by STM-assited CVD have been placed on top
of a narrow stripe of Py. The magnetic coupling between the nanoparticles and
the underlying Py film results in distinct negative jumps of the Py
magnetoresistance. The switching of the magnetization orientation of individual
particles is clearly reflected in the Py magnetoresistance as a consequence of
AMR and DWMR, with a homogeneous particle magnetization orientation yielding
the highest resistances.
| cond-mat.other | arrays of fenanoparticles grown by stmassited cvd have been placed on top of a narrow stripe of py the magnetic coupling between the nanoparticles and the underlying py film results in distinct negative jumps of the py magnetoresistance the switching of the magnetization orientation of individual particles is clearly reflected in the py magnetoresistance as a consequence of amr and dwmr with a homogeneous particle magnetization orientation yielding the highest resistances | [['arrays', 'of', 'fenanoparticles', 'grown', 'by', 'stmassited', 'cvd', 'have', 'been', 'placed', 'on', 'top', 'of', 'a', 'narrow', 'stripe', 'of', 'py', 'the', 'magnetic', 'coupling', 'between', 'the', 'nanoparticles', 'and', 'the', 'underlying', 'py', 'film', 'results', 'in', 'distinct', 'negative', 'jumps', 'of', 'the', 'py', 'magnetoresistance', 'the', 'switching', 'of', 'the', 'magnetization', 'orientation', 'of', 'individual', 'particles', 'is', 'clearly', 'reflected', 'in', 'the', 'py', 'magnetoresistance', 'as', 'a', 'consequence', 'of', 'amr', 'and', 'dwmr', 'with', 'a', 'homogeneous', 'particle', 'magnetization', 'orientation', 'yielding', 'the', 'highest', 'resistances']] | [-0.18585088168797287, 0.17081218045137392, -0.006419551774751449, -0.0744477176171579, -0.06971511868355067, -0.11226052763210474, 0.03806174445249464, 0.43073717861071875, -0.27628374330537475, -0.3410101083741672, -0.0009319463751508274, -0.2954983605692784, -0.07013233273249606, 0.18702172318750154, 0.07863753805935815, -0.0025796292331137197, -0.03668142591292659, -0.06468800582207632, -0.03630145157322935, -0.1998292202318924, 0.26061598035385425, -0.02879471355455293, 0.32941935029879643, 0.049911655014907214, 0.12843550925237546, -0.006436836041942023, 0.11809247213861217, 0.09337862363537315, -0.1349785902045593, 0.0597911038827421, 0.18900856177282074, -0.1485251506378847, 0.16469759310501209, -0.4427462157293938, -0.1277946537171585, -0.039840938536909176, 0.13279736689224408, 0.09889967102503432, -0.0738599518182404, -0.27374292883104173, 0.08770828833466099, -0.05957952830805511, -0.08411115133271053, 0.015776485312676083, 0.0012701443477493265, 0.0845421580462784, -0.2552259235602358, 0.10024835585036139, 0.13376818411389663, 0.12860972002364587, -0.050755114108998925, -0.16862925919501678, -0.15219869668278302, 0.07263360691486277, 0.08293373589538902, 0.045575572461213756, 0.1809948411486719, -0.1109852372082969, -0.17200088552941661, 0.26092735856123594, -0.0683756511779907, -0.17928289236041947, 0.14581281201158097, -0.26331078759866994, 0.002894753293282744, 0.159331980228856, 0.12328849350181544, 0.141249247421713, -0.13526613826768985, 0.10206389066634997, -0.014900619919965233, 0.19343386548638775, 0.13563776589876067, -0.013334680387439827, 0.2805161782526884, 0.2430737024119151, 0.033344170459937574, 0.16785288892645875, -0.20124952671576993, -0.037549550469586815, -0.17922148321741732, -0.2220812411573918, -0.26007619748512906, 0.11992438176673824, -0.15476302199185474, -0.24781788978725672, 0.3879483406958373, 0.11063317572563022, 0.22615334858604963, -0.06767002057176137, 0.25421634419699723, 0.08336608214270108, 0.08140465673869071, -0.016517468491920095, 0.23320404769501824, 0.23415899673895235, 0.19347651827189585, -0.2798944054900304, 0.21204555848532397, -0.07161305822513025] |
712.232 | Real forms and finite order automorphisms of affine Kac-Moody algebras -
an outline of a new approach | We outline a new approach to classify real forms and automorphisms of finite
order of affine Kac-Moody algebras.
| math.RA math.MG | we outline a new approach to classify real forms and automorphisms of finite order of affine kacmoody algebras | [['we', 'outline', 'a', 'new', 'approach', 'to', 'classify', 'real', 'forms', 'and', 'automorphisms', 'of', 'finite', 'order', 'of', 'affine', 'kacmoody', 'algebras']] | [-0.17370535412596333, 0.04503778445844849, -0.07101805446048577, 0.03953874087892473, -0.2231586757633421, -0.12295893877227274, -0.03470059028930134, 0.362472722099887, -0.4003869601421886, -0.18200334844489893, 0.14420742647618884, -0.24710806335012117, -0.22003101540030912, 0.17514409161069328, -0.1750218056452771, -0.04787319857213232, -0.040097088656491704, 0.11928558339261347, -0.19964464210594693, -0.3888562402377526, 0.47832698706123566, -0.09959670214448124, 0.2356159413854281, 0.040385094419535666, 0.17957582619662085, -0.012658467723263634, -0.07283479867813487, -0.041413600763512984, -0.15420091892075208, 0.15754857172982561, 0.39713535292281044, 0.05209996778931883, 0.17938045081165102, -0.3469412061903212, -0.08986922493204474, 0.20692944340407848, 0.1860903161060479, 0.08976094538552894, -0.054561579030834965, -0.29508986489640343, 0.08007945187596811, -0.29280686150822377, -0.23222872330289748, -0.1707384664979246, 0.037138723457853, -0.049109771123362914, -0.20838523014552063, -0.01562714672440456, 0.05782558396458626, 0.17862184174979726, -0.19300630574838984, -0.09195584625316162, -0.025823511597183015, 0.10970909942665862, -0.15069161381365526, -0.03518302698567924, 0.10692720366124478, -0.024692478822544217, -0.25925848508874577, 0.3713990572012133, 0.018040142610617396, -0.2060562591585848, 0.13089768593716952, -0.21806426837833393, -0.1864282302558422, 0.07872322491473621, 0.23362216167151928, 0.1212205428423153, -0.02368669817224145, 0.1739429349254351, -0.04537504062884384, -0.062351098698046475, 0.02610405412916508, -0.09751619688338703, 0.1084510703674621, 0.11212892302622397, 0.05072521511465311, 0.18029996387970945, 0.08706759361343251, -0.024029074236750603, -0.4442948251962662, -0.24480061062301198, 0.015331016439530585, 0.12199581041932106, -0.1071226822152514, -0.22641367154816786, 0.46297835724221337, 0.16549348867394859, 0.1612050460341076, 0.14769675774085853, 0.18445050675008032, 0.011429911893275049, 0.17436230586220822, 0.0037275885438753497, -0.004063707647017307, 0.2985247971696986, -0.1375269822181306, -0.12600733836491904, -0.139161952978207, 0.22688105777423415] |
712.2321 | Remarks on confinement driven by axion-like particles in Yang-Mills
theories | Features of screening and confinement are studied for a non-Abelian gauge
theory with a mixture of pseudoscalar and scalar coupling, in the case where a
constant chromo-electric, or chromo-magnetic, strength expectation value is
present. Our discussion is carried out using the gauge-invariant but
path-dependent variables formalism. We explicitly show that the static
potential profile is the sum of a Yukawa and a linear potential, leading to the
confinement of static probe charges. Interestingly, similar results have been
obtained in the context of gluodynamics in curved space-time. For only
pseudoscalar coupling, the results are radically different.
| hep-th | features of screening and confinement are studied for a nonabelian gauge theory with a mixture of pseudoscalar and scalar coupling in the case where a constant chromoelectric or chromomagnetic strength expectation value is present our discussion is carried out using the gaugeinvariant but pathdependent variables formalism we explicitly show that the static potential profile is the sum of a yukawa and a linear potential leading to the confinement of static probe charges interestingly similar results have been obtained in the context of gluodynamics in curved spacetime for only pseudoscalar coupling the results are radically different | [['features', 'of', 'screening', 'and', 'confinement', 'are', 'studied', 'for', 'a', 'nonabelian', 'gauge', 'theory', 'with', 'a', 'mixture', 'of', 'pseudoscalar', 'and', 'scalar', 'coupling', 'in', 'the', 'case', 'where', 'a', 'constant', 'chromoelectric', 'or', 'chromomagnetic', 'strength', 'expectation', 'value', 'is', 'present', 'our', 'discussion', 'is', 'carried', 'out', 'using', 'the', 'gaugeinvariant', 'but', 'pathdependent', 'variables', 'formalism', 'we', 'explicitly', 'show', 'that', 'the', 'static', 'potential', 'profile', 'is', 'the', 'sum', 'of', 'a', 'yukawa', 'and', 'a', 'linear', 'potential', 'leading', 'to', 'the', 'confinement', 'of', 'static', 'probe', 'charges', 'interestingly', 'similar', 'results', 'have', 'been', 'obtained', 'in', 'the', 'context', 'of', 'gluodynamics', 'in', 'curved', 'spacetime', 'for', 'only', 'pseudoscalar', 'coupling', 'the', 'results', 'are', 'radically', 'different']] | [-0.13995310344831333, 0.20114321152826672, -0.07890553765096947, 0.07484983001762119, -0.07935989734863765, -0.15191868479412637, 0.0034101673267095496, 0.36715116969456796, -0.16052150223526712, -0.25758232133168923, 0.032093745363435074, -0.2593445675545617, -0.1403732781862154, 0.09709382821609708, 0.051735843551394184, 0.017077178321778776, -0.010892572511281623, 0.06893339715898036, -0.06883866663066376, -0.24426523724472837, 0.33833157935571906, -0.012120130256210502, 0.274536906555295, 0.13681790438039523, 0.062341119812213276, 0.004611449072284526, -0.025963260468683743, 0.07298411102107677, -0.07333110885389799, 0.05582578407085844, 0.15984412437844042, 0.013002146197188843, 0.20860862938540153, -0.38233050018745035, -0.22554550423335873, 0.0742177711505639, 0.13270441239797756, 0.1374282634032792, -0.06764103628596978, -0.29647725364438404, 0.059821915814015816, -0.17507684171248816, -0.13849584200100876, -0.14152890128132545, 0.013778707012534142, -0.03125751545946849, -0.3530971783360368, 0.10336497614258214, -0.018166311776363537, 0.025293421931564808, -0.07405836739038166, -0.14591963795062743, -0.026679094417608882, 0.07427292255880802, 0.14408938707538732, 0.05914368256130011, 0.15722696637048533, -0.19467585525524458, -0.1087297156520531, 0.39123340808345297, -0.11627875852741693, -0.24751561504641645, 0.1353721534876202, -0.14146990745671487, -0.10838830149242361, 0.08229531508037134, 0.1440267240726634, 0.15483976325056956, -0.1830865443243008, 0.17014663514840467, -0.048341540558459725, 0.13056504674451916, 0.07978744972497225, 0.03668035577085041, 0.2587748178329907, 0.11341068829948965, 0.0027020593835531096, 0.13200263537368492, -0.012280316846935372, -0.1627414855713907, -0.3782213176306533, -0.11333740511882322, -0.14939903450247488, 0.060505075340992524, -0.12720751993459234, -0.17000083354252735, 0.4090569751631272, 0.1360600528748412, 0.16285846287776765, 0.022344473401378646, 0.2474982534584246, 0.13065279174816646, 0.07597633034333978, 0.0364796799509541, 0.3222452453509169, 0.18332524270211395, 0.1099160103813598, -0.23583731978739564, -0.04769348843807453, 0.08637116888636037] |
712.2322 | Solitons in one-dimensional nonlinear Schr\"{o}dinger lattices with a
local inhomogeneity | In this paper we analyze the existence, stability, dynamical formation and
mobility properties of localized solutions in a one-dimensional system
described by the discrete nonlinear Schr\"{o}dinger equation with a linear
point defect. We consider both attractive and repulsive defects in a focusing
lattice. Among our main findings are: a) the destabilization of the on--site
mode centered at the defect in the repulsive case; b) the disappearance of
localized modes in the vicinity of the defect due to saddle-node bifurcations
for sufficiently strong defects of either type; c) the decrease of the
amplitude formation threshold for attractive and its increase for repulsive
defects; and d) the detailed elucidation as a function of initial speed and
defect strength of the different regimes (trapping, trapping and reflection,
pure reflection and pure transmission) of interaction of a moving localized
mode with the defect.
| nlin.PS | in this paper we analyze the existence stability dynamical formation and mobility properties of localized solutions in a onedimensional system described by the discrete nonlinear schrodinger equation with a linear point defect we consider both attractive and repulsive defects in a focusing lattice among our main findings are a the destabilization of the onsite mode centered at the defect in the repulsive case b the disappearance of localized modes in the vicinity of the defect due to saddlenode bifurcations for sufficiently strong defects of either type c the decrease of the amplitude formation threshold for attractive and its increase for repulsive defects and d the detailed elucidation as a function of initial speed and defect strength of the different regimes trapping trapping and reflection pure reflection and pure transmission of interaction of a moving localized mode with the defect | [['in', 'this', 'paper', 'we', 'analyze', 'the', 'existence', 'stability', 'dynamical', 'formation', 'and', 'mobility', 'properties', 'of', 'localized', 'solutions', 'in', 'a', 'onedimensional', 'system', 'described', 'by', 'the', 'discrete', 'nonlinear', 'schrodinger', 'equation', 'with', 'a', 'linear', 'point', 'defect', 'we', 'consider', 'both', 'attractive', 'and', 'repulsive', 'defects', 'in', 'a', 'focusing', 'lattice', 'among', 'our', 'main', 'findings', 'are', 'a', 'the', 'destabilization', 'of', 'the', 'onsite', 'mode', 'centered', 'at', 'the', 'defect', 'in', 'the', 'repulsive', 'case', 'b', 'the', 'disappearance', 'of', 'localized', 'modes', 'in', 'the', 'vicinity', 'of', 'the', 'defect', 'due', 'to', 'saddlenode', 'bifurcations', 'for', 'sufficiently', 'strong', 'defects', 'of', 'either', 'type', 'c', 'the', 'decrease', 'of', 'the', 'amplitude', 'formation', 'threshold', 'for', 'attractive', 'and', 'its', 'increase', 'for', 'repulsive', 'defects', 'and', 'd', 'the', 'detailed', 'elucidation', 'as', 'a', 'function', 'of', 'initial', 'speed', 'and', 'defect', 'strength', 'of', 'the', 'different', 'regimes', 'trapping', 'trapping', 'and', 'reflection', 'pure', 'reflection', 'and', 'pure', 'transmission', 'of', 'interaction', 'of', 'a', 'moving', 'localized', 'mode', 'with', 'the', 'defect']] | [-0.1767593361939833, 0.1465919329181796, -0.026822891572101725, 0.03329166805240989, 0.010834447473367984, -0.17855267838504593, 0.06848906173028232, 0.33264140258107683, -0.2529238704457986, -0.21705761687200276, 0.08412005502157745, -0.2889925142458687, -0.14034798289749692, 0.10655240552741096, 0.04091417426310426, 0.010014223490536829, 0.024135238119139733, 0.01954026030972868, -0.04486297047864512, -0.18461086326312248, 0.3461733090041353, 0.01991779064062795, 0.291889379988592, 0.1091116079390585, 0.006990710152782124, 0.05506333212448592, 0.05278670506236954, 0.021432292996068223, -0.1475714532919764, 0.09729172841967385, 0.18674391764760515, -0.030103023994794424, 0.25322703703594723, -0.42787468755657937, -0.22781580403152343, 0.07127739581540762, 0.1757154330810559, 0.15814520845779304, -0.07625132362716731, -0.298730760053966, 0.04545062732306584, -0.12278470889457481, -0.23357331716261215, -0.0034676719148703616, 0.06277705586964277, 0.07456118043339577, -0.26909860162560245, 0.13228166232006155, 0.08958739866632398, 0.07193922248782872, -0.13393339880979988, -0.014097724976721588, -0.10078994069657148, 0.08401558937491488, 0.03832525747121318, -0.016784681027366532, 0.13697086590536528, -0.1558498770598215, -0.11309151759491765, 0.3820785969736979, -0.07016638741516944, -0.1619712262910208, 0.26396113778833, -0.1354519829535924, -0.06603504075641951, 0.17330672179089973, 0.17124163303457254, 0.0843568644955379, -0.07630978206134059, 0.07694178484360355, 0.04123177530625902, 0.13725943839857555, 0.10757980943597156, 0.05543891062102408, 0.23579652688512914, 0.18249713660472427, 0.07636035706097488, 0.15238153730793821, -0.0983397073971724, -0.10116543877441034, -0.3211177660138916, -0.1250765780790997, -0.1659305115350147, 0.03446362052437776, -0.09709062677795124, -0.21134153512983228, 0.41930463795865075, 0.06005231560234704, 0.1899620042745319, -0.020246171064192443, 0.20025655030936218, 0.14194287299748054, 0.015455864774810297, 0.020164013927360232, 0.25364070344153494, 0.13456880134068055, 0.09448582061110801, -0.32762750752082614, -0.00762393547007613, 0.04646415436278573] |
712.2323 | On the Absolutely Continuous Spectrum of Sturm-Liouville Operators with
Applications to Radial Quantum Trees | We consider standard subordinacy theory for general Sturm--Liouville
operators and give criteria when boundedness of solutions implies that no
subordinate solutions exist. As applications, we prove a Weidmann-type result
for general Sturm--Liouville operators and investigate the absolutely
continuous spectrum of radially symmetric quantum trees.
| math.SP math-ph math.MP | we consider standard subordinacy theory for general sturmliouville operators and give criteria when boundedness of solutions implies that no subordinate solutions exist as applications we prove a weidmanntype result for general sturmliouville operators and investigate the absolutely continuous spectrum of radially symmetric quantum trees | [['we', 'consider', 'standard', 'subordinacy', 'theory', 'for', 'general', 'sturmliouville', 'operators', 'and', 'give', 'criteria', 'when', 'boundedness', 'of', 'solutions', 'implies', 'that', 'no', 'subordinate', 'solutions', 'exist', 'as', 'applications', 'we', 'prove', 'a', 'weidmanntype', 'result', 'for', 'general', 'sturmliouville', 'operators', 'and', 'investigate', 'the', 'absolutely', 'continuous', 'spectrum', 'of', 'radially', 'symmetric', 'quantum', 'trees']] | [-0.10911034428796103, 0.0752067389399853, -0.03292186864716715, 0.16574095332518565, -0.06434180166269111, -0.19697838563601985, -0.021021304541094184, 0.34642819094276706, -0.24336958576946757, -0.11356318681392559, 0.18299357790153387, -0.29966417184576044, -0.15185900210121342, 0.1772337064125337, -0.10684641924968293, 0.10405893615165422, 0.08504612951777703, 0.03390869145216637, -0.07334182427134799, -0.14006774829765564, 0.4352409061217724, -0.11265668304106437, 0.19939579498455967, 0.08409941335057103, 0.05188836607822152, 0.04568212723012927, -0.04361491043900335, -0.03357624513811843, -0.2189473990456886, 0.07178690189192462, 0.2878604677700719, 0.13625320079086653, 0.26469367699221125, -0.4073807783858028, -0.22097250616697725, 0.25447330761397646, 0.11884442044335396, 0.06912713926718679, -0.09605290728274646, -0.2857997499969463, 0.094694824115005, -0.1272267961311479, -0.24742984999144493, -0.11420798180408256, 0.04855285827503648, 0.055510299307359165, -0.34347594102714646, 0.10915453010780174, 0.14364603681619778, 0.05252674975714018, -0.17255513820537302, -0.09679286963263051, 0.025712467816679976, 0.032090831719214355, 0.012622291598533996, -0.07015397833920149, 0.03210841210255789, -0.06855014538349108, -0.1825348749366957, 0.3585138122529484, -0.09645671677927292, -0.24246817056176273, 0.118880802288998, -0.14020114768361455, -0.15064181671152974, 9.130047590926636e-06, 0.12521268066755215, 0.2419988072347329, -0.12967266206972053, 0.2310856087755975, -0.07997737759940846, 0.11499292752976248, 0.14210117445868808, 0.09949633129330915, 0.1199779981140827, 0.007927392980322068, 0.2336015579355664, 0.14493726969285067, 0.10975339225774934, -0.1316596845944607, -0.3434480440824531, -0.16002604902483697, -0.08975516772980607, 0.10172999297203712, -0.11167845433120356, -0.2905982514453489, 0.37838403566545525, 0.11319912922417008, 0.15208702441304922, 0.15878955833613873, 0.17560352709924065, 0.24942071076081848, -0.024081314430077327, 0.057484665181661065, 0.1851998578410509, 0.19774778065986412, 0.09983657244159731, -0.10651056408790092, -0.038957470188697066, 0.17266131198943355] |
712.2324 | Myosin V passing over Arp2/3 junctions: branching ratio calculated from
the elastic lever arm model | Myosin V is a two-headed processive motor protein that walks in a
hand-over-hand fashion along actin filaments. When it encounters a filament
branch, formed by the Arp2/3 complex, it can either stay on the straight mother
filament, or switch to the daughter filament. We study both probabilities using
the elastic lever arm model for myosin V. We calculate the shapes and bending
energies of all relevant configurations in which the trail head is bound to the
actin filament before Arp2/3 and the lead head is bound either to the mother or
to the daughter filament. Based on the assumption that the probability for a
head to bind to a certain actin subunit is proportional to the Boltzmann factor
obtained from the elastic energy, we calculate the mother/daughter filament
branching ratio. Our model predicts a value of 27% for the daughter and 73% for
the mother filament. This result is in good agreement with recent experimental
data.
| physics.bio-ph cond-mat.soft q-bio.BM | myosin v is a twoheaded processive motor protein that walks in a handoverhand fashion along actin filaments when it encounters a filament branch formed by the arp23 complex it can either stay on the straight mother filament or switch to the daughter filament we study both probabilities using the elastic lever arm model for myosin v we calculate the shapes and bending energies of all relevant configurations in which the trail head is bound to the actin filament before arp23 and the lead head is bound either to the mother or to the daughter filament based on the assumption that the probability for a head to bind to a certain actin subunit is proportional to the boltzmann factor obtained from the elastic energy we calculate the motherdaughter filament branching ratio our model predicts a value of 27 for the daughter and 73 for the mother filament this result is in good agreement with recent experimental data | [['myosin', 'v', 'is', 'a', 'twoheaded', 'processive', 'motor', 'protein', 'that', 'walks', 'in', 'a', 'handoverhand', 'fashion', 'along', 'actin', 'filaments', 'when', 'it', 'encounters', 'a', 'filament', 'branch', 'formed', 'by', 'the', 'arp23', 'complex', 'it', 'can', 'either', 'stay', 'on', 'the', 'straight', 'mother', 'filament', 'or', 'switch', 'to', 'the', 'daughter', 'filament', 'we', 'study', 'both', 'probabilities', 'using', 'the', 'elastic', 'lever', 'arm', 'model', 'for', 'myosin', 'v', 'we', 'calculate', 'the', 'shapes', 'and', 'bending', 'energies', 'of', 'all', 'relevant', 'configurations', 'in', 'which', 'the', 'trail', 'head', 'is', 'bound', 'to', 'the', 'actin', 'filament', 'before', 'arp23', 'and', 'the', 'lead', 'head', 'is', 'bound', 'either', 'to', 'the', 'mother', 'or', 'to', 'the', 'daughter', 'filament', 'based', 'on', 'the', 'assumption', 'that', 'the', 'probability', 'for', 'a', 'head', 'to', 'bind', 'to', 'a', 'certain', 'actin', 'subunit', 'is', 'proportional', 'to', 'the', 'boltzmann', 'factor', 'obtained', 'from', 'the', 'elastic', 'energy', 'we', 'calculate', 'the', 'motherdaughter', 'filament', 'branching', 'ratio', 'our', 'model', 'predicts', 'a', 'value', 'of', '27', 'for', 'the', 'daughter', 'and', '73', 'for', 'the', 'mother', 'filament', 'this', 'result', 'is', 'in', 'good', 'agreement', 'with', 'recent', 'experimental', 'data']] | [-0.12755699791364933, 0.1757319934415416, -0.04595197706322114, 0.023943534228377618, -0.06532308388835727, -0.14961900900249395, 0.08403309548791582, 0.41743821342690635, -0.25247318736234237, -0.24626080293614322, 0.022797599331123564, -0.25462822097902876, -0.13089510467118368, 0.1297266821269519, 0.00205975614535885, -0.0026955155787082054, 0.09549473990381767, 0.07265708281192929, 0.06996410985728009, -0.15946851189558706, 0.20840424123721626, 0.0692080589882934, 0.2939278451212419, 0.017192545449898507, 0.1192070049747156, -0.02229799311578226, 0.04134627491928255, 0.0019444048625584214, -0.1792832493196422, 0.11643653997937993, 0.1425338350553573, 0.06650676532612684, 0.21189330839731085, -0.4691881417678908, -0.14852208394213215, 0.07919517416471186, 0.1852607697260399, 0.13175261752509798, 0.014258281144206054, -0.2688916515057477, 0.09210686240634786, -0.15323235443046984, -0.14221638495711467, 0.03395672319218134, 0.07099106187263551, 0.06599401933803725, -0.23026639465481424, 0.12251388658291827, -0.00444548510803053, -0.007692345905338581, -0.102278162799895, -0.08737284008365793, -0.05864938949861635, 0.11899338878384487, 0.08625440583609116, 0.08122524376272057, 0.292089597405627, -0.1375049025653145, -0.07534526941330674, 0.37702863171505624, -0.005630802685165037, -0.1701134412955397, 0.17786019473509768, -0.12685981774642968, -0.14203731195989233, 0.19067659339783952, 0.135129882222734, 0.04025427039260439, -0.10745429569448252, -0.03615743902964123, -0.06677961905445091, 0.14179147640243173, 0.10274216576885337, -0.09646604687483117, 0.18855344475461885, 0.14657280432472292, 0.026943492368818857, 0.13990281156909007, -0.14145554616175687, -0.11523077187713426, -0.27593103899077204, -0.15873071003648548, -0.12636163382110402, 0.02564793253221955, -0.046617084958621165, -0.1748632933729543, 0.35869659835514495, 0.029379757509256404, 0.2986463797398103, 0.09757699362802295, 0.2535718275437084, 0.0395749381404573, 0.11858723518880418, 0.06290683553864558, 0.24274042559204062, 0.14195978508527893, 0.06690454623924616, -0.2362925314265363, 0.11561224310888718, 0.0742655322373582] |
712.2325 | Confined Ge-Pt states in self-organized Pt nanowire arrays on Ge(001) | By means of band structure calculations within the density functional theory
and the generalized gradient approximation, we investigate the electronic
structure of self-organized Pt nanowires on the Ge(001) surface. In particular,
we deal with a novel one-dimensional surface state confined in the nanowire
array and clarify its origin. Due to large Pt contributions, the novel state is
rather a mixed Ge-Pt hybrid state than a confined Ge surface state. Moreover,
we compare our results to data from scanning tunneling microscopy.
| cond-mat.mes-hall | by means of band structure calculations within the density functional theory and the generalized gradient approximation we investigate the electronic structure of selforganized pt nanowires on the ge001 surface in particular we deal with a novel onedimensional surface state confined in the nanowire array and clarify its origin due to large pt contributions the novel state is rather a mixed gept hybrid state than a confined ge surface state moreover we compare our results to data from scanning tunneling microscopy | [['by', 'means', 'of', 'band', 'structure', 'calculations', 'within', 'the', 'density', 'functional', 'theory', 'and', 'the', 'generalized', 'gradient', 'approximation', 'we', 'investigate', 'the', 'electronic', 'structure', 'of', 'selforganized', 'pt', 'nanowires', 'on', 'the', 'ge001', 'surface', 'in', 'particular', 'we', 'deal', 'with', 'a', 'novel', 'onedimensional', 'surface', 'state', 'confined', 'in', 'the', 'nanowire', 'array', 'and', 'clarify', 'its', 'origin', 'due', 'to', 'large', 'pt', 'contributions', 'the', 'novel', 'state', 'is', 'rather', 'a', 'mixed', 'gept', 'hybrid', 'state', 'than', 'a', 'confined', 'ge', 'surface', 'state', 'moreover', 'we', 'compare', 'our', 'results', 'to', 'data', 'from', 'scanning', 'tunneling', 'microscopy']] | [-0.11413319685852912, 0.1294803675089497, -0.08591946703381836, 0.044539679191439065, -0.007080176728777587, -0.12083772771293297, 0.0695664223669155, 0.4012409422779456, -0.26759523382643235, -0.28181742621818556, 0.023312690205057152, -0.3131996920448728, -0.1669632478209678, 0.12022533958952408, 0.00039956550754141065, 0.03890899354519206, 0.023089752648957074, -0.05755823234794662, -0.13680223601404579, -0.1363651828520233, 0.328920996846864, 0.05400318705214886, 0.3331285827240208, 0.08260293903877028, 0.03046560553048039, 0.019060073501896112, 0.08790225480915978, 0.06026140786998439, -0.18719795799115674, 0.1341602599452017, 0.20320372044225224, -0.06709702110965736, 0.22171078703249805, -0.5422912311041728, -0.23634699456015368, -0.018784853906254284, 0.08606202893424779, 0.1403489167802036, -0.0943212117839721, -0.2930526004987769, 0.08415746010141448, -0.14772677069995552, -0.1424110371270217, -0.09444888785656076, -0.05482964782277122, -0.019081781920976936, -0.18679868583276402, 0.07537711009499617, -0.004144041182007641, 0.03753869709535138, -0.09754114580136956, -0.09439296233467757, -0.06702485270507168, 0.026491544506279753, -0.022258338730898684, 0.04395965248695575, 0.14404483990947484, -0.11226413563272217, -0.1035479940182995, 0.3216697215102613, -0.08910202426868637, -0.1589683799771592, 0.18732476604054682, -0.1751232259150129, -0.07434287923970259, 0.15044342370238156, 0.16236799893667922, 0.1552385790277185, -0.12626102701906347, 0.12172180571797071, 0.0020106584313907662, 0.20278226502377947, 0.04201355086988769, 0.0491793965222314, 0.1864941105246544, 0.22190471869835166, 0.04903047121697455, 0.1531019538437249, -0.16515850537398363, -0.1016239627613686, -0.23876905061770232, -0.19412713670171797, -0.23313527796417474, 0.05395408564072568, -0.02592386547876231, -0.19559409881476314, 0.4174600127385929, 0.08952207222464495, 0.196899368846789, -0.03070781786227599, 0.25037846420891585, 0.09156620618450688, 0.039520535111660135, 0.03580484464764595, 0.1939608950546244, 0.20814640505996068, 0.06447307981725317, -0.2657844190282049, 0.05582565066870302, 0.0013567686808528378] |
712.2326 | INTEGRAL discovery of non-thermal hard X-ray emission from the Ophiuchus
cluster | We present the results of deep observations of the Ophiuchus cluster of
galaxies with INTEGRAL in the 3-80 keV band. We analyse 3 Ms of INTEGRAL data
on the Ophiuchus cluster with the IBIS/ISGRI hard X-ray imager and the JEM-X
X-ray monitor. In the X-ray band using JEM-X, we show that the source is
extended, and that the morphology is compatible with the results found by
previous missions. Above 20 keV, we show that the size of the source is
slightly larger than the PSF of the instrument, and is consistent with the soft
X-ray morphology found with JEM-X and ASCA. Thanks to the constraints on the
temperature provided by JEM-X, we show that the spectrum of the cluster is not
well fitted by a single-temperature thermal Bremsstrahlung model, and that
another spectral component is needed to explain the high energy data. We detect
the high energy tail with a higher detection significance (6.4 sigma) than the
BeppoSAX claim (2 sigma). Because of the imaging capabilities of JEM-X and
ISGRI, we are able to exclude the possibility that the excess emission comes
from very hot regions or absorbed AGN, which proves that the excess emission is
indeed of non-thermal origin. Using the available radio data together with the
non-thermal hard X-ray flux, we estimate a magnetic field B ~ 0.1-0.2 mu G.
| astro-ph | we present the results of deep observations of the ophiuchus cluster of galaxies with integral in the 380 kev band we analyse 3 ms of integral data on the ophiuchus cluster with the ibisisgri hard xray imager and the jemx xray monitor in the xray band using jemx we show that the source is extended and that the morphology is compatible with the results found by previous missions above 20 kev we show that the size of the source is slightly larger than the psf of the instrument and is consistent with the soft xray morphology found with jemx and asca thanks to the constraints on the temperature provided by jemx we show that the spectrum of the cluster is not well fitted by a singletemperature thermal bremsstrahlung model and that another spectral component is needed to explain the high energy data we detect the high energy tail with a higher detection significance 64 sigma than the bepposax claim 2 sigma because of the imaging capabilities of jemx and isgri we are able to exclude the possibility that the excess emission comes from very hot regions or absorbed agn which proves that the excess emission is indeed of nonthermal origin using the available radio data together with the nonthermal hard xray flux we estimate a magnetic field b 0102 mu g | [['we', 'present', 'the', 'results', 'of', 'deep', 'observations', 'of', 'the', 'ophiuchus', 'cluster', 'of', 'galaxies', 'with', 'integral', 'in', 'the', '380', 'kev', 'band', 'we', 'analyse', '3', 'ms', 'of', 'integral', 'data', 'on', 'the', 'ophiuchus', 'cluster', 'with', 'the', 'ibisisgri', 'hard', 'xray', 'imager', 'and', 'the', 'jemx', 'xray', 'monitor', 'in', 'the', 'xray', 'band', 'using', 'jemx', 'we', 'show', 'that', 'the', 'source', 'is', 'extended', 'and', 'that', 'the', 'morphology', 'is', 'compatible', 'with', 'the', 'results', 'found', 'by', 'previous', 'missions', 'above', '20', 'kev', 'we', 'show', 'that', 'the', 'size', 'of', 'the', 'source', 'is', 'slightly', 'larger', 'than', 'the', 'psf', 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'of', 'nonthermal', 'origin', 'using', 'the', 'available', 'radio', 'data', 'together', 'with', 'the', 'nonthermal', 'hard', 'xray', 'flux', 'we', 'estimate', 'a', 'magnetic', 'field', 'b', '0102', 'mu', 'g']] | [-0.045467942939545515, 0.10191708964683385, -0.08360685946259698, 0.11389322965079286, -0.08985372066573658, -0.07963470175938167, 0.05399688253099124, 0.46799622824188003, -0.19331628603152762, -0.38057666271082147, 0.09917229133456887, -0.345001618103946, -0.026282650460984255, 0.21259106973573835, -0.01954788754470815, -0.012493765525250144, 0.08064806938742401, -0.030258726599369182, -0.02597490035058568, -0.2046669814145673, 0.28040110117047856, 0.12751389937398944, 0.1906036154548237, 0.05043031590067828, 0.07859602915407558, -0.02195975102897211, -0.07307117183511545, -0.006138382525903876, -0.09089968342773751, 0.10786375941127134, 0.2115026386465237, 0.09444410801518548, 0.16135024989884542, -0.3522269071387422, -0.2248090164002655, 0.06316632649342938, 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712.2327 | Invariant Amplitudes for Pion Electroproduction | The invariant amplitudes for pion electroproduction on the nucleon are
evaluated by dispersion relations at constant t with MAID as input for the
imaginary parts of these amplitudes. In the threshold region these amplitudes
are confronted with the predictions of several low-energy theorems derived in
the soft-pion limit. In general agreement with Chiral Perturbation Theory, the
dispersive approach yields large corrections to these theorems because of the
finite pion mass.
| hep-ph nucl-th | the invariant amplitudes for pion electroproduction on the nucleon are evaluated by dispersion relations at constant t with maid as input for the imaginary parts of these amplitudes in the threshold region these amplitudes are confronted with the predictions of several lowenergy theorems derived in the softpion limit in general agreement with chiral perturbation theory the dispersive approach yields large corrections to these theorems because of the finite pion mass | [['the', 'invariant', 'amplitudes', 'for', 'pion', 'electroproduction', 'on', 'the', 'nucleon', 'are', 'evaluated', 'by', 'dispersion', 'relations', 'at', 'constant', 't', 'with', 'maid', 'as', 'input', 'for', 'the', 'imaginary', 'parts', 'of', 'these', 'amplitudes', 'in', 'the', 'threshold', 'region', 'these', 'amplitudes', 'are', 'confronted', 'with', 'the', 'predictions', 'of', 'several', 'lowenergy', 'theorems', 'derived', 'in', 'the', 'softpion', 'limit', 'in', 'general', 'agreement', 'with', 'chiral', 'perturbation', 'theory', 'the', 'dispersive', 'approach', 'yields', 'large', 'corrections', 'to', 'these', 'theorems', 'because', 'of', 'the', 'finite', 'pion', 'mass']] | [-0.10883161863977356, 0.22408434773263122, -0.09623140127930258, 0.1445633055575724, -0.0032771125701921327, -0.07588560369664005, 0.04314772339504478, 0.3220787907817534, -0.16325498671670044, -0.24812163037381002, 0.002764959674927273, -0.32495300083288126, -0.04667831606098584, 0.19890280023350249, 0.051429704473204246, 0.12532188312283585, 0.042879875899026434, 0.08686846034335238, -0.07325702549257715, -0.17125564547521727, 0.37793460563490433, -0.02605363843696458, 0.24143304489552975, 0.12311465258577041, 0.04000258278101683, 0.04028498493134976, -0.07702786400914192, -0.01860320878082088, -0.1370408559218049, 0.10908679544393506, 0.29143784873054496, -0.009188618703878352, 0.09971594257679368, -0.39045483871762243, -0.16483264158346822, 0.006758561437683446, 0.142319244691836, 0.13157541938126088, 0.026735256297979505, -0.29539424129096525, 0.10173902163015945, -0.15429588037409953, -0.2075951579226447, -0.12389321897977165, 0.030925585484198694, -0.0027122291669781718, -0.28787061125040053, 0.10408713006015335, -0.0250961518447314, 0.026784373646868125, -0.05685327195429376, -0.2172196675008828, -0.013757195656320878, 0.10632149024999567, 0.13572501804945725, 0.055077921299796016, 0.1226974390979324, -0.1708984127900164, -0.09439105181289571, 0.38582027675916575, -0.0848395146762154, -0.18082952742863978, 0.07890029887868358, -0.20431238674292607, -0.14875456649543983, 0.16697415366236654, 0.1303318111313274, 0.057051547769723196, -0.15950229042209685, 0.13029989855630056, -0.034792394550251106, 0.13594100871622297, 0.1528098119023655, 0.08666991539887801, 0.18906627653964928, 0.10803016979313855, -0.07424163477761404, 0.04149992968887091, -0.04880352275379534, -0.12532957270741463, -0.39378182244087967, 0.010220446517424923, -0.10479369091003068, 0.02967251826110961, -0.15773580711601035, -0.1419795133971742, 0.3050570852821693, 0.09596932737289794, 0.2269560055940279, 0.11932061462263976, 0.31357956659048797, 0.19034670532647788, 0.10198621196738844, 0.049080009678644794, 0.295979481276923, 0.24216038670191276, 0.1208486934724663, -0.24785147053854806, -0.033740064894248335, 0.11109208606981806] |
712.2328 | $L^2$-stability of explicit schemes for incompressible Euler equations | We present an original study on the numerical stabiliy of explicit schemes
solving the incompressible Euler equations on an open domain with slipping
boundary conditions. Relying on the skewness property of the non-linear term,
we demonstrate that some explicit schemes are numerically stable for small
perturbations under the condition $\delta t\leq C \delta x^{2r/(2r-1)}$ where
$r$ is an integer, $\delta t$ the time step and $\delta x$ the space step.
| math.NA | we present an original study on the numerical stabiliy of explicit schemes solving the incompressible euler equations on an open domain with slipping boundary conditions relying on the skewness property of the nonlinear term we demonstrate that some explicit schemes are numerically stable for small perturbations under the condition delta tleq c delta x2r2r1 where r is an integer delta t the time step and delta x the space step | [['we', 'present', 'an', 'original', 'study', 'on', 'the', 'numerical', 'stabiliy', 'of', 'explicit', 'schemes', 'solving', 'the', 'incompressible', 'euler', 'equations', 'on', 'an', 'open', 'domain', 'with', 'slipping', 'boundary', 'conditions', 'relying', 'on', 'the', 'skewness', 'property', 'of', 'the', 'nonlinear', 'term', 'we', 'demonstrate', 'that', 'some', 'explicit', 'schemes', 'are', 'numerically', 'stable', 'for', 'small', 'perturbations', 'under', 'the', 'condition', 'delta', 'tleq', 'c', 'delta', 'x2r2r1', 'where', 'r', 'is', 'an', 'integer', 'delta', 't', 'the', 'time', 'step', 'and', 'delta', 'x', 'the', 'space', 'step']] | [-0.22063095718348288, 0.1050466763201043, -0.05557693830033874, 0.01478825933950515, -0.06770926786874257, -0.172586651162847, 0.007057283227742814, 0.36181601064334457, -0.30300245203954335, -0.21948412904406295, 0.1414954404154902, -0.24124427322941996, -0.10505333139478941, 0.20783990580479011, -0.03262185032936566, 0.07534915605313419, 0.06243165431420922, 0.027370671454050085, -0.10475640403969652, -0.2622048017459319, 0.3566160518949961, -0.0384260465610115, 0.20028095578720026, 0.05662225920498125, 0.14560894362683244, -0.07381946848951937, 0.0019308714442612493, 0.012131350689742249, -0.24087418894241103, 0.008793319212546682, 0.17360377502144034, 0.02632517129977179, 0.28855196375618963, -0.42739307994077746, -0.1712937039350543, 0.10565584628185366, 0.11397721755030729, 0.07518465482794187, -0.020505842424052602, -0.2750406600260997, 0.11726771971649107, -0.060115677304565907, -0.166098028243355, -0.070515451103668, 0.0797155092963401, 0.01289507672396105, -0.33654372254386544, 0.07418730504372541, 0.0843989149092094, 0.07177367401035394, -0.06787116674240679, -0.14153233451275704, -0.003121204729027608, 0.060314916998750585, 0.028477409025928116, 0.03009483326733222, 0.011666999705245389, -0.121702146182275, -0.035901648565948775, 0.35309346431099314, -0.08196571335086927, -0.29996939114404514, 0.11598540790488615, -0.09299597355044063, -0.10658490510575254, 0.0961659900186693, 0.1276776038301999, 0.20831569051370025, -0.07650404556325692, 0.18664692333293395, -0.0487159601847559, 0.17456598679007798, 0.07913999465595492, -0.030590060132774797, 0.06744500231819556, 0.1430568008654518, 0.14716749629416667, 0.11475535331170678, -0.07914987919331692, -0.07277932642575573, -0.4167619080091005, -0.16394906432148726, -0.15340577083064572, 0.05838193693061305, -0.16217536720946288, -0.16936967449317522, 0.3387830035747303, 0.09772508091512411, 0.1767811434726943, 0.0751138929524185, 0.27326911312582736, 0.19560488791424124, -0.04813122099029202, 0.12797096957151285, 0.11042953323211645, 0.08844793324961382, 0.09827396601630266, -0.29120449780020863, 0.046716064584496265, 0.15232669022482107] |
712.2329 | Fixed points of circle actions on spaces with rational cohomology of
$S^n V S^{2n} V S^{3n}$ or $P^2(n) V S^{3n}$ | Let $X$ be a finitistic space with its rational cohomology isomorphic to that
of the wedge sum $P^2(n)\vee S^{3n} $ or $S^{n} \vee S^{2n}\vee S^{3n}$. We
study continuous $\mathbb{S}^1$ actions on $X$ and determine the possible fixed
point sets up to rational cohomology depending on whether or not $X$ is totally
non-homologous to zero in $X_{\mathbb{S}^1}$ in the Borel fibration
$X\hookrightarrow X_{\mathbb{S}^1} \longrightarrow B_{\mathbb{S}^1}$. We also
give examples realizing the possible cases.
| math.AT | let x be a finitistic space with its rational cohomology isomorphic to that of the wedge sum p2nvee s3n or sn vee s2nvee s3n we study continuous mathbbs1 actions on x and determine the possible fixed point sets up to rational cohomology depending on whether or not x is totally nonhomologous to zero in x_mathbbs1 in the borel fibration xhookrightarrow x_mathbbs1 longrightarrow b_mathbbs1 we also give examples realizing the possible cases | [['let', 'x', 'be', 'a', 'finitistic', 'space', 'with', 'its', 'rational', 'cohomology', 'isomorphic', 'to', 'that', 'of', 'the', 'wedge', 'sum', 'p2nvee', 's3n', 'or', 'sn', 'vee', 's2nvee', 's3n', 'we', 'study', 'continuous', 'mathbbs1', 'actions', 'on', 'x', 'and', 'determine', 'the', 'possible', 'fixed', 'point', 'sets', 'up', 'to', 'rational', 'cohomology', 'depending', 'on', 'whether', 'or', 'not', 'x', 'is', 'totally', 'nonhomologous', 'to', 'zero', 'in', 'x_mathbbs1', 'in', 'the', 'borel', 'fibration', 'xhookrightarrow', 'x_mathbbs1', 'longrightarrow', 'b_mathbbs1', 'we', 'also', 'give', 'examples', 'realizing', 'the', 'possible', 'cases']] | [-0.17606756092528952, 0.07997054718152592, -0.06913527738387612, 0.0348896014594092, -0.11369685174290542, -0.19587877881360438, 0.08554918367669663, 0.40161617946895684, -0.36062964406852244, -0.10910094003757519, 0.12630519413064714, -0.29229813338624255, -0.10387266719375145, 0.15521150017439417, -0.1482504128591355, -0.07590824217539083, -0.01578134517749828, 0.13849243678674666, -0.1208930265451217, -0.3385368928764806, 0.3835969360996828, -0.09930548212970748, 0.16290566657147737, 0.07969227175679848, 0.14774333353147306, -0.026630373290655287, 0.03737662068681058, -0.05227078399539922, -0.23029042803384733, 0.02743548091331666, 0.293375645242067, 0.08836298536907909, 0.15510887252061034, -0.3464763951770058, -0.09249148892492733, 0.3187603152385264, 0.14164555927202332, -0.10636049690726919, 0.04639801647951544, -0.28061936337105703, 0.13563211107711223, -0.1438571450752065, -0.1578517095256371, -0.11276454385370016, 0.10483284588112976, -0.014140480321436895, -0.2596258670303293, -0.07322706048293956, 0.05662883368010322, 0.10738823438684146, -0.025642201620168194, -0.08435261949974422, -0.13367969404454483, 0.0606652314520695, -0.009436162086344804, 0.136204782700533, 0.10093244534888954, -0.026909275375532383, -0.1297365692373591, 0.4209600540132008, -0.057798150926828384, -0.27218511965916015, 0.14071554859930818, -0.22561142936518247, -0.14067545297527403, 0.1448163157143757, 0.07451414821359019, 0.17175027998305406, 0.04140735675834797, 0.21208708132105653, -0.10248677116451842, 0.10282562195656779, 0.11112848899298997, -0.022924092816979144, 0.16997590392940876, 0.07676861419652899, 0.11827681500598732, 0.09252891357755288, -0.0023808759764175525, 0.002799480036959391, -0.38990447354136093, -0.17087401952030082, -0.11080667282856832, 0.25756551859795407, -0.102480081467189, -0.18272518547195377, 0.3335026622199538, 0.07056356661699036, 0.20850924685399866, 0.09078598620765137, 0.21427319729418465, 0.029133175570292002, 0.0006743926752471563, 0.009924854640937128, 0.07341910358588917, 0.17522527710675742, -0.07789808602749625, -0.10275730728453984, -0.03498060719787397, 0.19331718007610602] |
712.233 | Periodic minimizers in 1D local mean field theory | Using reflection positivity techniques we prove the existence of minimizers
for a class of mesoscopic free-energies representing 1D systems with competing
interactions. All minimizers are either periodic, with zero average, or of
constant sign. If the local term in the free energy satisfies a convexity
condition, then all minimizers are either periodic or constant. Examples of
both phenomena are given. This extends our previous work where such results
were proved for the ground states of lattice systems with ferromagnetic nearest
neighbor interactions and dipolar type antiferromagnetic long range
interactions.
| math-ph cond-mat.stat-mech math.MP | using reflection positivity techniques we prove the existence of minimizers for a class of mesoscopic freeenergies representing 1d systems with competing interactions all minimizers are either periodic with zero average or of constant sign if the local term in the free energy satisfies a convexity condition then all minimizers are either periodic or constant examples of both phenomena are given this extends our previous work where such results were proved for the ground states of lattice systems with ferromagnetic nearest neighbor interactions and dipolar type antiferromagnetic long range interactions | [['using', 'reflection', 'positivity', 'techniques', 'we', 'prove', 'the', 'existence', 'of', 'minimizers', 'for', 'a', 'class', 'of', 'mesoscopic', 'freeenergies', 'representing', '1d', 'systems', 'with', 'competing', 'interactions', 'all', 'minimizers', 'are', 'either', 'periodic', 'with', 'zero', 'average', 'or', 'of', 'constant', 'sign', 'if', 'the', 'local', 'term', 'in', 'the', 'free', 'energy', 'satisfies', 'a', 'convexity', 'condition', 'then', 'all', 'minimizers', 'are', 'either', 'periodic', 'or', 'constant', 'examples', 'of', 'both', 'phenomena', 'are', 'given', 'this', 'extends', 'our', 'previous', 'work', 'where', 'such', 'results', 'were', 'proved', 'for', 'the', 'ground', 'states', 'of', 'lattice', 'systems', 'with', 'ferromagnetic', 'nearest', 'neighbor', 'interactions', 'and', 'dipolar', 'type', 'antiferromagnetic', 'long', 'range', 'interactions']] | [-0.2024013221452243, 0.15118818534433506, 0.004545750609844965, 0.07248966312532973, -0.06829127329767923, -0.1808260086233194, 0.00950671461923571, 0.3603780366182118, -0.29633577740908174, -0.269230979583697, 0.10123320162594528, -0.33732801331521084, -0.10043829621935493, 0.1246791624547809, 0.0627265052943166, 0.055638921222115834, 0.05933320607069168, 0.03661772414121065, -0.08255972617483709, -0.2576426219435806, 0.33571662491166526, -0.07833519919639391, 0.22305771579777592, 0.09502807705861967, 0.054866228702614143, 0.06030214312381708, 0.08773851087526156, 0.04373793368845173, -0.17723840692216594, 0.06621699035102292, 0.19862946296984518, -0.026345795713720865, 0.27164130192250013, -0.4300563395693061, -0.24045028167860477, 0.16820104210899117, 0.11247928757050461, 0.11599515562646845, -0.020176983567273894, -0.2858907648288969, 0.09843479552609699, -0.1317366407033098, -0.17249741349853262, -0.10370520554257955, 0.008947558094109043, 0.1539922644269098, -0.3027050005627817, 0.13654274796789742, 0.11527896722715893, 0.113566058206508, -0.14758520464548905, -0.0925903899092855, -0.03473262913430926, 0.10302971459904246, 0.06033116279776846, 0.009030881630821844, 0.07523558094699899, -0.10846682371613517, -0.13521053434318203, 0.3723462163836936, -0.07076746285003557, -0.22562052414156078, 0.2437782329507172, -0.10949582953968745, -0.10744665423931365, 0.11864214394178786, 0.07539090795672676, 0.11166160735772566, -0.13216546611086036, 0.12598589733386872, -0.04494550792772448, 0.1417953859271712, 0.0612079910149149, 0.05751986026219773, 0.17542703758422915, 0.11516616083786227, 0.13162174844444635, 0.12737714987133075, -0.04329321178701821, -0.11963288495421745, -0.2979037560355128, -0.0963829329415235, -0.21890384931211476, 0.05943300658209103, -0.06319947044212722, -0.20058198799536134, 0.3536428312111772, 0.08098962438931123, 0.16615768967803274, 0.09148271647124981, 0.2035120666089855, 0.08662425209323384, 0.03705192185687215, 0.07834607196757255, 0.22190796105803273, 0.11020053927054148, 0.036654427668519236, -0.17800771261779905, 0.046162458188999236, 0.10741937986125102] |
712.2331 | Forced Imbibition - a Tool for Determining Laplace Pressure, Drag Force
and Slip Length in Capillary Filling Experiments | When a very thin capillary is inserted into a liquid, the liquid is sucked
into it: this imbibition process is controlled by a balance of capillary and
drag forces, which are hard to quantify experimentally, in particularly
considering flow on the nanoscale. By computer experiments using a generic
coarse-grained model, it is shown that an analysis of imbibition forced by a
controllable external pressure quantifies relevant physical parameter such as
the Laplace pressure, Darcy's permeability, effective pore radius, effective
viscosity, dynamic contact angle and slip length of the fluid flowing into the
pore. In determining all these parameters independently, the consistency of our
analysis of such forced imbibition processes is demonstrated.
| physics.flu-dyn physics.comp-ph | when a very thin capillary is inserted into a liquid the liquid is sucked into it this imbibition process is controlled by a balance of capillary and drag forces which are hard to quantify experimentally in particularly considering flow on the nanoscale by computer experiments using a generic coarsegrained model it is shown that an analysis of imbibition forced by a controllable external pressure quantifies relevant physical parameter such as the laplace pressure darcys permeability effective pore radius effective viscosity dynamic contact angle and slip length of the fluid flowing into the pore in determining all these parameters independently the consistency of our analysis of such forced imbibition processes is demonstrated | [['when', 'a', 'very', 'thin', 'capillary', 'is', 'inserted', 'into', 'a', 'liquid', 'the', 'liquid', 'is', 'sucked', 'into', 'it', 'this', 'imbibition', 'process', 'is', 'controlled', 'by', 'a', 'balance', 'of', 'capillary', 'and', 'drag', 'forces', 'which', 'are', 'hard', 'to', 'quantify', 'experimentally', 'in', 'particularly', 'considering', 'flow', 'on', 'the', 'nanoscale', 'by', 'computer', 'experiments', 'using', 'a', 'generic', 'coarsegrained', 'model', 'it', 'is', 'shown', 'that', 'an', 'analysis', 'of', 'imbibition', 'forced', 'by', 'a', 'controllable', 'external', 'pressure', 'quantifies', 'relevant', 'physical', 'parameter', 'such', 'as', 'the', 'laplace', 'pressure', 'darcys', 'permeability', 'effective', 'pore', 'radius', 'effective', 'viscosity', 'dynamic', 'contact', 'angle', 'and', 'slip', 'length', 'of', 'the', 'fluid', 'flowing', 'into', 'the', 'pore', 'in', 'determining', 'all', 'these', 'parameters', 'independently', 'the', 'consistency', 'of', 'our', 'analysis', 'of', 'such', 'forced', 'imbibition', 'processes', 'is', 'demonstrated']] | [-0.14204755574276015, 0.24238710672301472, -0.11417686298221082, -0.0033802575287260987, -0.053314701436918126, -0.16578753007710115, 0.002641161484224302, 0.3334189156103913, -0.3120140978680538, -0.2796411918862177, 0.06501623093116995, -0.241635838863314, -0.14990709890686982, 0.18542198313144245, 0.001446379671661972, 0.10659543976087023, 0.006119431448734086, -0.03985499729284899, 0.025445132384177397, -0.14394071509616937, 0.2601530528249773, 0.05621883156237419, 0.294005340158201, 0.12860367069574627, 0.1272872785811086, -0.025909653344602736, 0.006131624026844899, 0.13128216548084473, -0.2152184049858054, 0.012817884134632107, 0.21841608144988953, -0.014652944299988114, 0.24774272353933738, -0.4726511948817485, -0.2935801982745394, -0.0035034083956742433, 0.12462331781474252, 0.08171144907618663, -0.015000593062985252, -0.2666082044912351, 0.008461384996268395, -0.13995272269564774, -0.10495802754670516, -0.07437713109460231, 0.06752451927073903, 0.020806189047000663, -0.2602151932435001, 0.09657992834911204, 0.07276841931397447, 0.0647440177497563, -0.06654638256500098, -0.0368912622735307, -0.04984482378396835, 0.11754238260579547, 0.08479872408510723, -0.015456218192739799, 0.2742687767447048, -0.16587859861812815, 0.028620000970591832, 0.42247046615827727, -0.04241540507824571, -0.25711977975191297, 0.19443210096073313, -0.10444560224979042, 0.0015186223553846012, 0.18494800509683587, 0.16180429612663952, 0.07801500802989714, -0.17839578548218188, 0.01879073222910331, -0.05605124670336745, 0.20045721242812606, 0.10336020287873039, -0.13439069982399945, 0.22279654827958964, 0.2663170606262881, 0.035498528070076626, 0.17698327770775502, -0.08165967929898552, -0.11873851069207261, -0.29279855369414026, -0.17931978061568696, -0.18989749532297825, 0.03733411546679096, -0.15359337021243288, -0.16834093134945702, 0.31912089544474276, 0.10898734077072895, 0.1802418495587132, 0.0009984141058364028, 0.32755375076253135, 0.08792233579951497, 0.06438581902546354, 0.03815989385921139, 0.264228671436777, 0.13694407362469915, 0.11730613896997147, -0.27476532215688815, 0.10811249937375521, 0.05715826166340628] |
712.2332 | From Geometry to Numerics: interdisciplinary aspects in mathematical and
numerical relativity | This article reviews some aspects in the current relationship between
mathematical and numerical General Relativity. Focus is placed on the
description of isolated systems, with a particular emphasis on recent
developments in the study of black holes. Ideas concerning asymptotic flatness,
the initial value problem, the constraint equations, evolution formalisms,
geometric inequalities and quasi-local black hole horizons are discussed on the
light of the interaction between numerical and mathematical relativists.
| gr-qc | this article reviews some aspects in the current relationship between mathematical and numerical general relativity focus is placed on the description of isolated systems with a particular emphasis on recent developments in the study of black holes ideas concerning asymptotic flatness the initial value problem the constraint equations evolution formalisms geometric inequalities and quasilocal black hole horizons are discussed on the light of the interaction between numerical and mathematical relativists | [['this', 'article', 'reviews', 'some', 'aspects', 'in', 'the', 'current', 'relationship', 'between', 'mathematical', 'and', 'numerical', 'general', 'relativity', 'focus', 'is', 'placed', 'on', 'the', 'description', 'of', 'isolated', 'systems', 'with', 'a', 'particular', 'emphasis', 'on', 'recent', 'developments', 'in', 'the', 'study', 'of', 'black', 'holes', 'ideas', 'concerning', 'asymptotic', 'flatness', 'the', 'initial', 'value', 'problem', 'the', 'constraint', 'equations', 'evolution', 'formalisms', 'geometric', 'inequalities', 'and', 'quasilocal', 'black', 'hole', 'horizons', 'are', 'discussed', 'on', 'the', 'light', 'of', 'the', 'interaction', 'between', 'numerical', 'and', 'mathematical', 'relativists']] | [-0.16214954212440977, 0.02473636506058808, -0.09159869951129491, 0.13229185813771827, -0.09455264088298593, -0.12424372613563069, -0.00749741614397083, 0.2788674899709544, -0.1730723403194653, -0.31934323237676704, 0.14630590768730534, -0.3247749529512865, -0.15230340949658835, 0.2217988882346877, -0.09033695928353284, 0.05701187469198236, 0.08069941132728542, 0.018277694032128367, -0.16479775861703924, -0.23283347003494523, 0.40807858038294526, 0.06614398907737008, 0.2724730611047042, 0.07350951743345442, 0.08051858660099762, 0.02785906200297177, -0.07174710075237921, 0.0368649000035865, -0.24332741229861443, 0.14878391608363017, 0.22190397122425826, 0.14709500024494315, 0.2673847205936909, -0.487894541490823, -0.20970126309964274, 0.012352504341730049, 0.06716828015632928, 0.12829599532165697, -0.11725197788161625, -0.2722315866101001, -0.010683295230514237, -0.1612750057829544, -0.15890330247847098, 0.0021346983765917166, 0.07329102765236582, 0.03294581833095955, -0.13434395847975145, 0.0821536383059408, 0.08070780393401426, 0.03139902070064896, -0.0941136583752398, -0.09023572867403605, 0.031637316130633863, 0.060679287370294335, 0.14727756791482013, -0.036410843837074935, 0.12707657163430539, -0.11370268376610641, -0.1319124256127647, 0.34109044681702344, 0.020401244051754475, -0.23881618114454406, 0.1871942798008344, -0.1828198689842663, -0.1610753459523299, -0.00543423949607781, 0.18384501042642765, 0.16588455917579786, -0.16584475903904863, 0.16222759736452386, -0.019074615769620454, 0.09631056068465113, 0.07625389733085675, 0.07416582292228538, 0.3250382540880569, 0.1661869831749105, -0.014286788712654794, 0.09516409316233226, 0.05029328199036952, -0.19423162201419472, -0.3685640575630324, -0.11053804205730558, -0.12555642942232745, 0.07294280069348003, -0.1102044307154886, -0.1431530811225197, 0.3639807367697358, 0.12980194071839962, 0.14206068781869752, 0.022758575548817005, 0.2633683464450899, 0.07395401362861906, -0.08378728324148271, 0.03472158743201622, 0.30790662639483346, 0.20702675228406275, 0.1640046710481069, -0.22767687195778957, 0.010617412196006626, 0.12127630122205509] |
712.2333 | Models for Dust and Molecular Emission of High-Mass Protostars | We present the results of a detailed modeling aimed to reproduce the spectral
energy distribution (SED) of dust and molecular line emission of massive
protostars under the hypothesis that they form via an accretion process. We
model the emission originated in the infalling envelopes at scales smaller than
0.1 pc from the central protostar. To do that, we compared our model results
with observational data covering a wide range of wavelengths, paying special
attention to the high angular resolution mid-infrared data obtained with the
Gemini Observatory and the ammonia line emission observed with the VLA at
centimeter wavelengths. We have explored two kind of model envelopes. In the
first kind of models, spherical symmetry is assumed and the SED as well as the
ammonia emission of the infalling envelope are calculated. In this way, the
temperature, density, velocity, velocity dispersion, and ammonia abundance
variations along the core can be obtained. The second approach takes into
account deviations from the spherical symmetry, and parameters such as the
rotation, degree of elongation of the core, or inclination of the system can be
constrained through the SED fitting. Using these two approaches we have been
able to model the formation of massive stars with a degree of detail similar to
that reached for the low mass stars.
| astro-ph | we present the results of a detailed modeling aimed to reproduce the spectral energy distribution sed of dust and molecular line emission of massive protostars under the hypothesis that they form via an accretion process we model the emission originated in the infalling envelopes at scales smaller than 01 pc from the central protostar to do that we compared our model results with observational data covering a wide range of wavelengths paying special attention to the high angular resolution midinfrared data obtained with the gemini observatory and the ammonia line emission observed with the vla at centimeter wavelengths we have explored two kind of model envelopes in the first kind of models spherical symmetry is assumed and the sed as well as the ammonia emission of the infalling envelope are calculated in this way the temperature density velocity velocity dispersion and ammonia abundance variations along the core can be obtained the second approach takes into account deviations from the spherical symmetry and parameters such as the rotation degree of elongation of the core or inclination of the system can be constrained through the sed fitting using these two approaches we have been able to model the formation of massive stars with a degree of detail similar to that reached for the low mass stars | [['we', 'present', 'the', 'results', 'of', 'a', 'detailed', 'modeling', 'aimed', 'to', 'reproduce', 'the', 'spectral', 'energy', 'distribution', 'sed', 'of', 'dust', 'and', 'molecular', 'line', 'emission', 'of', 'massive', 'protostars', 'under', 'the', 'hypothesis', 'that', 'they', 'form', 'via', 'an', 'accretion', 'process', 'we', 'model', 'the', 'emission', 'originated', 'in', 'the', 'infalling', 'envelopes', 'at', 'scales', 'smaller', 'than', '01', 'pc', 'from', 'the', 'central', 'protostar', 'to', 'do', 'that', 'we', 'compared', 'our', 'model', 'results', 'with', 'observational', 'data', 'covering', 'a', 'wide', 'range', 'of', 'wavelengths', 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712.2334 | Application of a curvature adjusted method in image segmentation | This article deals with flow of plane curves driven by the curvature and
external force. We make use of such a geometric flow for the purpose of image
segmentation. A parametric model for evolving curves with uniform and curvature
adjusted redistribution of grid points will be described and compared.
| math.NA | this article deals with flow of plane curves driven by the curvature and external force we make use of such a geometric flow for the purpose of image segmentation a parametric model for evolving curves with uniform and curvature adjusted redistribution of grid points will be described and compared | [['this', 'article', 'deals', 'with', 'flow', 'of', 'plane', 'curves', 'driven', 'by', 'the', 'curvature', 'and', 'external', 'force', 'we', 'make', 'use', 'of', 'such', 'a', 'geometric', 'flow', 'for', 'the', 'purpose', 'of', 'image', 'segmentation', 'a', 'parametric', 'model', 'for', 'evolving', 'curves', 'with', 'uniform', 'and', 'curvature', 'adjusted', 'redistribution', 'of', 'grid', 'points', 'will', 'be', 'described', 'and', 'compared']] | [-0.14856170885721032, 0.09358144397562256, -0.10437965855401542, 0.029413021746927833, -0.08290038694988708, -0.11560321897648428, 0.0007074433473908172, 0.41097954554217203, -0.2677841852514111, -0.2943264405309622, 0.11258481556017484, -0.25774771537707775, -0.11976337299815246, 0.22486657702615864, -0.1297352530955508, 0.07875130781713797, 0.06478192204875606, 0.006949597561009684, -0.009636005975914245, -0.20078523159597297, 0.36718827446124386, 0.01684730591214433, 0.2568519835227302, 0.005529075198122586, 0.11228864839566606, 0.03418782756340747, -0.09082901035910662, 0.10314638709307325, -0.18180085608393562, 0.1833495595207324, 0.16898814259020953, 0.043569199793154795, 0.1940222815800534, -0.4364041631319085, -0.27672883892926026, 0.12673232274852236, 0.1124552929849953, 0.07588228332508375, -0.06648990848310748, -0.23439113356705224, 0.05115873115707417, -0.1295235880783626, -0.18087787056645874, -0.08911840183831447, -0.02925541974147972, 0.09175365961784003, -0.2588629951624542, 0.06630119082650968, 0.08950575154122649, 0.15497841973009766, -0.08572729832815881, -0.048458299803908686, -0.032767124759147365, 0.116474922423308, 0.024273689871901, 0.08376831240115726, 0.11858770029847415, -0.1594692962766834, -0.05568563499088798, 0.40689176429248397, -0.1015180202239022, -0.2317358358782165, 0.10868928049291883, -0.06252433274568496, -0.04577434916353347, 0.11707225715627476, 0.2180567610894843, 0.11713411548764122, -0.13210894287164723, 0.03507860738214471, 0.04941102660888312, 0.1237878567558162, 0.08275095586265836, -0.08984365034848452, 0.21795559507243487, 0.15231441839465074, 0.09407087508945403, 0.17981609996949913, -0.10990610811859369, -0.10353229020018967, -0.31947535827603873, -0.1511618916743568, -0.16137136877466907, 0.05103326408306555, -0.09332656304319911, -0.18294362269570025, 0.42391644708089987, 0.10599283421678203, 0.23584462044646545, 0.036015676885691225, 0.3195371209662788, 0.10547261078822978, 0.009800920481508484, 0.09131039367342482, 0.2246730921799507, 0.12469053527397313, 0.10947493606304028, -0.1620331500105712, 0.010314355110179405, 0.06369183069969318] |
712.2335 | Nonlinear theory and tests of earthquake recurrence times | We develop an efficient numerical scheme to solve accurately the set of
nonlinear integral equations derived previously in (Saichev and Sornette,
2007), which describes the distribution of inter-event times in the framework
of a general model of earthquake clustering with long memory. Detailed
comparisons between the linear and nonlinear versions of the theory and direct
synthetic catalogs show that the nonlinear theory provides an excellent fit to
the synthetic catalogs, while there are significant biases resulting from the
use of the linear approximation. We then address the suggestions proposed by
some authors to use the empirical distribution of inter-event times to obtain a
better determination of the so-called clustering parameter. Our theory and
tests against synthetic and empirical catalogs find a rather dramatic lack of
power for the distribution of inter-event times to distinguish between quite
different sets of parameters, casting doubt on the usefulness of this
statistics for the specific purpose of identifying the clustering parameter.
| physics.data-an physics.geo-ph | we develop an efficient numerical scheme to solve accurately the set of nonlinear integral equations derived previously in saichev and sornette 2007 which describes the distribution of interevent times in the framework of a general model of earthquake clustering with long memory detailed comparisons between the linear and nonlinear versions of the theory and direct synthetic catalogs show that the nonlinear theory provides an excellent fit to the synthetic catalogs while there are significant biases resulting from the use of the linear approximation we then address the suggestions proposed by some authors to use the empirical distribution of interevent times to obtain a better determination of the socalled clustering parameter our theory and tests against synthetic and empirical catalogs find a rather dramatic lack of power for the distribution of interevent times to distinguish between quite different sets of parameters casting doubt on the usefulness of this statistics for the specific purpose of identifying the clustering parameter | [['we', 'develop', 'an', 'efficient', 'numerical', 'scheme', 'to', 'solve', 'accurately', 'the', 'set', 'of', 'nonlinear', 'integral', 'equations', 'derived', 'previously', 'in', 'saichev', 'and', 'sornette', '2007', 'which', 'describes', 'the', 'distribution', 'of', 'interevent', 'times', 'in', 'the', 'framework', 'of', 'a', 'general', 'model', 'of', 'earthquake', 'clustering', 'with', 'long', 'memory', 'detailed', 'comparisons', 'between', 'the', 'linear', 'and', 'nonlinear', 'versions', 'of', 'the', 'theory', 'and', 'direct', 'synthetic', 'catalogs', 'show', 'that', 'the', 'nonlinear', 'theory', 'provides', 'an', 'excellent', 'fit', 'to', 'the', 'synthetic', 'catalogs', 'while', 'there', 'are', 'significant', 'biases', 'resulting', 'from', 'the', 'use', 'of', 'the', 'linear', 'approximation', 'we', 'then', 'address', 'the', 'suggestions', 'proposed', 'by', 'some', 'authors', 'to', 'use', 'the', 'empirical', 'distribution', 'of', 'interevent', 'times', 'to', 'obtain', 'a', 'better', 'determination', 'of', 'the', 'socalled', 'clustering', 'parameter', 'our', 'theory', 'and', 'tests', 'against', 'synthetic', 'and', 'empirical', 'catalogs', 'find', 'a', 'rather', 'dramatic', 'lack', 'of', 'power', 'for', 'the', 'distribution', 'of', 'interevent', 'times', 'to', 'distinguish', 'between', 'quite', 'different', 'sets', 'of', 'parameters', 'casting', 'doubt', 'on', 'the', 'usefulness', 'of', 'this', 'statistics', 'for', 'the', 'specific', 'purpose', 'of', 'identifying', 'the', 'clustering', 'parameter']] | [-0.05944374166070842, 0.013091759636993699, -0.12256052353395483, 0.11212207660607348, -0.05906250289617441, -0.07535768488051896, 0.06049974335623213, 0.3645848903255776, -0.232249678303607, -0.368901102627532, 0.0673329871825468, -0.27415749521400684, -0.14168960681388107, 0.22402865311447293, -0.03390172891354618, 0.07725365944982816, 0.0591475223743309, -0.02076522257620803, -0.07142158273535852, -0.25508460163091046, 0.28183011601690966, 0.08284806732076387, 0.3127195077996032, 0.006326276750769466, 0.09976039990467073, 0.010269877653067501, -0.12051245720030214, 0.01890177383663682, -0.14157214757967898, 0.12997581518273085, 0.21034083624806207, 0.1449053838926678, 0.2681923963350411, -0.424503842386632, -0.23402715468098625, 0.10786122419626619, 0.10594463385216212, 0.09189001302822875, -0.04141236511909833, -0.28903420905296046, 0.07226322779360299, -0.16707666482155523, -0.11753308751250212, -0.11213398059137547, 0.053526207922960825, 0.06776531123502466, -0.29404234144693386, 0.12077814973189305, 0.034725731304392986, 0.046958701488060445, -0.0651043982615169, -0.09968171704438133, 0.022049202732980635, 0.13052460704094324, 0.07476250477544127, -0.024382938953259818, 0.058520311364330925, -0.12891007067175964, -0.12157192730153792, 0.3727270807020175, -0.05378346615329158, -0.16700246928629872, 0.1867106768514555, -0.09853644410106473, -0.13573211001662108, 0.07015967693671253, 0.18863228289410472, 0.09835640526710986, -0.16035814237040588, 0.04653292441649589, -0.050928499922753334, 0.18845775104963627, 0.01718045779181501, -0.01641814374082829, 0.16609503202832854, 0.15659349139642495, 0.03516946904337368, 0.12319446111751649, -0.10050387790229601, -0.12670652713411704, -0.2975662143017428, -0.098631179276615, -0.17686535618626154, 0.030574583666375242, -0.15784809513785056, -0.18423039025555438, 0.424839237435546, 0.2111713238365878, 0.21479272146601802, 0.09927706213933654, 0.30114110717803644, 0.11482370101545641, 0.026945172422878947, 0.05098300390632059, 0.2219457680380751, 0.10960148252361716, 0.04695133918460506, -0.21119682406200668, 0.06480618457321842, 0.017720637520631917] |
712.2336 | Polarised Geant4 - Applications at the ILC | Geant4 is a Monte Carlo simulation framework for the description of
interactions of particles and matter. Starting with version 8.2 a new package
of QED physics processes is available, allowing for the studies of interactions
of polarised particles with polarised media dedicated to beam applications. In
this contribution some details about the implementation are presented and
applications to the linear collider are discussed.
| physics.ins-det | geant4 is a monte carlo simulation framework for the description of interactions of particles and matter starting with version 82 a new package of qed physics processes is available allowing for the studies of interactions of polarised particles with polarised media dedicated to beam applications in this contribution some details about the implementation are presented and applications to the linear collider are discussed | [['geant4', 'is', 'a', 'monte', 'carlo', 'simulation', 'framework', 'for', 'the', 'description', 'of', 'interactions', 'of', 'particles', 'and', 'matter', 'starting', 'with', 'version', '82', 'a', 'new', 'package', 'of', 'qed', 'physics', 'processes', 'is', 'available', 'allowing', 'for', 'the', 'studies', 'of', 'interactions', 'of', 'polarised', 'particles', 'with', 'polarised', 'media', 'dedicated', 'to', 'beam', 'applications', 'in', 'this', 'contribution', 'some', 'details', 'about', 'the', 'implementation', 'are', 'presented', 'and', 'applications', 'to', 'the', 'linear', 'collider', 'are', 'discussed']] | [-0.08028336391148586, 0.1391090312529178, -0.08244930607791517, 0.1047269684901934, -0.0765989146062306, -0.11904426330297682, -0.04335250664088461, 0.3910351674708109, -0.2107057418038566, -0.3371166682853881, 0.06435404629779182, -0.3350504141389614, -0.03355472594026535, 0.25311933262717157, 0.0779664854681681, 0.07360881747352699, 0.1101392683469587, -0.07269909596514135, -0.01684272862852566, -0.2277002666175129, 0.2335142418594351, 0.18361401921581655, 0.2266782499435875, 0.08693817161792328, 0.10513734966812152, 0.07005381236769377, -0.0976643301916146, -0.028363061802727834, -0.1315295932932742, 0.13227372817576877, 0.2624793366070778, 0.10472065335257895, 0.1784807633283356, -0.42293129574566607, -0.19725846777123118, 0.03740324399300984, 0.09519027805488024, 0.1601029902637478, -0.1350302862092143, -0.28337166576631484, 0.033968826356743066, -0.2129572198120138, -0.17242441703343675, -0.07080827037700349, -0.013669589770928262, 0.04585393488959819, -0.2747465613859868, 0.0021356182128545783, -0.016441596154537465, 0.07610745275659221, 0.014615749644618186, -0.14487055275175306, 0.044458390819647954, 0.03213904279890278, 0.0302750521823616, 0.010845308354686178, 0.1624570711634107, -0.1561035508666897, -0.16290913129018414, 0.4270416069184504, 0.0011166588122409487, -0.19546997937418165, 0.22484396426154982, -0.13532492104503843, -0.14042894332669675, 0.1625190054672578, 0.2512183440257869, 0.11220045135696492, -0.21299972157511446, 0.13892897676550858, 0.0007395889491788925, 0.1679221475792546, -0.04119829905943738, 0.015543098310156473, 0.17805977874538964, 0.23167777903902803, -0.046163536534304654, 0.14194320590190945, -0.05174022230009238, -0.1586810861610704, -0.3836864633337846, -0.15795605702118742, -0.12430446457103013, 0.0041140660880103945, 0.00664628631230222, -0.12430346154862837, 0.3770166030523205, 0.17309073969307873, 0.10135174714147098, -0.0123860440438702, 0.32742803336845505, 0.019488749655133617, 0.02921159469960479, 0.0405105245639182, 0.21878625332268828, 0.18096264451961605, 0.1207025023768582, -0.15821942791993182, -0.002590184724549689, 0.015896517624487242] |
712.2337 | Mould expansions for the saddle-node and resurgence monomials | This article is an introduction to some aspects of \'Ecalle's mould calculus,
a powerful combinatorial tool which yields surprisingly explicit formulas for
the normalising series attached to an analytic germ of singular vector field or
of map. This is illustrated on the case of the saddle-node, a two-dimensional
vector field which is formally conjugate to Euler's vector field
$x^2\frac{\pa}{\pa x}+(x+y)\frac{\pa}{\pa y}$, and for which the formal
normalisation is shown to be resurgent in $1/x$. Resurgence monomials adapted
to alien calculus are also described as another application of mould calculus.
| math.DS | this article is an introduction to some aspects of ecalles mould calculus a powerful combinatorial tool which yields surprisingly explicit formulas for the normalising series attached to an analytic germ of singular vector field or of map this is illustrated on the case of the saddlenode a twodimensional vector field which is formally conjugate to eulers vector field x2fracpapa xxyfracpapa y and for which the formal normalisation is shown to be resurgent in 1x resurgence monomials adapted to alien calculus are also described as another application of mould calculus | [['this', 'article', 'is', 'an', 'introduction', 'to', 'some', 'aspects', 'of', 'ecalles', 'mould', 'calculus', 'a', 'powerful', 'combinatorial', 'tool', 'which', 'yields', 'surprisingly', 'explicit', 'formulas', 'for', 'the', 'normalising', 'series', 'attached', 'to', 'an', 'analytic', 'germ', 'of', 'singular', 'vector', 'field', 'or', 'of', 'map', 'this', 'is', 'illustrated', 'on', 'the', 'case', 'of', 'the', 'saddlenode', 'a', 'twodimensional', 'vector', 'field', 'which', 'is', 'formally', 'conjugate', 'to', 'eulers', 'vector', 'field', 'x2fracpapa', 'xxyfracpapa', 'y', 'and', 'for', 'which', 'the', 'formal', 'normalisation', 'is', 'shown', 'to', 'be', 'resurgent', 'in', '1x', 'resurgence', 'monomials', 'adapted', 'to', 'alien', 'calculus', 'are', 'also', 'described', 'as', 'another', 'application', 'of', 'mould', 'calculus']] | [-0.12449431591586949, 0.01477622925123232, -0.15045976651907395, 0.0936908958166645, -0.18039205233598576, -0.13861677801001004, -0.022428326083925264, 0.3153120984012882, -0.34132055908270265, -0.20138714777241493, 0.09215271515081283, -0.22848535895390415, -0.2159111483327659, 0.21888464800317653, -0.134417376389169, 0.013048384370731896, -0.01942240443594497, 0.09006794560540082, -0.01837980488290804, -0.224690365476598, 0.32957693698933754, 0.015918969091070795, 0.20161965905806456, 0.01607619914836411, 0.12248231194399554, 0.011483513766193184, -0.010096812968666869, 0.016003926734215225, -0.11528123276516923, 0.15036064475753355, 0.3015543558024641, 0.09966035668427746, 0.2534170153326002, -0.4057177985194086, -0.13015844367027027, 0.0976571805518249, 0.17724131277344865, 0.05719106061111108, -0.013765831447163618, -0.2657645635130205, 0.0701314885672396, -0.16753013265030137, -0.1962630514526504, -0.14768140163037113, 0.08389608306012748, 0.005119296561541228, -0.2729955720768749, -0.027805302038202705, 0.0845434679435673, 0.13109922764458876, -0.003805915604615798, -0.11516143389624255, 2.2013274278363277e-05, 0.05849914634653806, 0.06840802325556676, 0.12349286351096013, 0.12349340311604841, -0.11975187474818921, -0.11124521946727202, 0.3103344691087674, -0.05996025354740606, -0.24667348952471524, 0.1308360887723493, -0.09259745109847736, -0.15616878279720314, 0.1202115744630667, 0.09600249379230984, 0.1454285903266449, -0.16337854674503463, 0.15026490708176468, -0.02855975143397334, 0.09857896287208316, 0.1070675904991041, -0.03602749684119019, 0.16717428231515505, 0.10998127221975518, -0.0009334508982626186, 0.12463903326214018, 0.042239651680742014, -0.13551855686752276, -0.35080557023228587, -0.2292228495145495, -0.12053347826198053, 0.11121114559776696, -0.08654086476967311, -0.2719889686549291, 0.38914248696260756, 0.08678294647613476, 0.1719838766509603, 0.07083144402211725, 0.26697112384370003, 0.19991979388193623, 0.05318435254953695, -0.030069137928771906, 0.14009174063765636, 0.21932987222212486, 0.1007595610719217, -0.12175714788722923, 0.02399601286876647, 0.1481591013163842] |
712.2338 | Competing Particle Systems and the Ghirlanda-Guerra Identities | We study point processes on the real line whose configurations X can be
ordered decreasingly and evolve by increments which are functions of correlated
gaussian variables. The correlations are intrinsic to the points and quantified
by a matrix Q={q_ij}. Quasi-stationary systems are those for which the law of
(X,Q) is invariant under the evolution up to translation of X. It was
conjectured by Aizenman and co-authors that the matrix Q of robustly
quasi-stationary systems must exhibit a hierarchal structure. This was
established recently, up to a natural decomposition of the system, whenever the
set S_Q of values assumed by q_ij is finite. In this paper, we study the
general case where S_Q may be infinite. Using the past increments of the
evolution, we show that the law of robustly quasi-stationary systems must obey
the Ghirlanda-Guerra identities, which first appear in the study of spin glass
models. This provides strong evidence that the above conjecture also holds in
the general case.
| math.PR cond-mat.dis-nn math-ph math.MP | we study point processes on the real line whose configurations x can be ordered decreasingly and evolve by increments which are functions of correlated gaussian variables the correlations are intrinsic to the points and quantified by a matrix qq_ij quasistationary systems are those for which the law of xq is invariant under the evolution up to translation of x it was conjectured by aizenman and coauthors that the matrix q of robustly quasistationary systems must exhibit a hierarchal structure this was established recently up to a natural decomposition of the system whenever the set s_q of values assumed by q_ij is finite in this paper we study the general case where s_q may be infinite using the past increments of the evolution we show that the law of robustly quasistationary systems must obey the ghirlandaguerra identities which first appear in the study of spin glass models this provides strong evidence that the above conjecture also holds in the general case | [['we', 'study', 'point', 'processes', 'on', 'the', 'real', 'line', 'whose', 'configurations', 'x', 'can', 'be', 'ordered', 'decreasingly', 'and', 'evolve', 'by', 'increments', 'which', 'are', 'functions', 'of', 'correlated', 'gaussian', 'variables', 'the', 'correlations', 'are', 'intrinsic', 'to', 'the', 'points', 'and', 'quantified', 'by', 'a', 'matrix', 'qq_ij', 'quasistationary', 'systems', 'are', 'those', 'for', 'which', 'the', 'law', 'of', 'xq', 'is', 'invariant', 'under', 'the', 'evolution', 'up', 'to', 'translation', 'of', 'x', 'it', 'was', 'conjectured', 'by', 'aizenman', 'and', 'coauthors', 'that', 'the', 'matrix', 'q', 'of', 'robustly', 'quasistationary', 'systems', 'must', 'exhibit', 'a', 'hierarchal', 'structure', 'this', 'was', 'established', 'recently', 'up', 'to', 'a', 'natural', 'decomposition', 'of', 'the', 'system', 'whenever', 'the', 'set', 's_q', 'of', 'values', 'assumed', 'by', 'q_ij', 'is', 'finite', 'in', 'this', 'paper', 'we', 'study', 'the', 'general', 'case', 'where', 's_q', 'may', 'be', 'infinite', 'using', 'the', 'past', 'increments', 'of', 'the', 'evolution', 'we', 'show', 'that', 'the', 'law', 'of', 'robustly', 'quasistationary', 'systems', 'must', 'obey', 'the', 'ghirlandaguerra', 'identities', 'which', 'first', 'appear', 'in', 'the', 'study', 'of', 'spin', 'glass', 'models', 'this', 'provides', 'strong', 'evidence', 'that', 'the', 'above', 'conjecture', 'also', 'holds', 'in', 'the', 'general', 'case']] | [-0.13294978624908255, 0.17167844575014896, -0.12015558152197628, 0.06816862720515929, 0.00399460330081638, -0.11008485521015246, 0.019159670561930398, 0.34405796198989264, -0.2771110027329996, -0.24598016630625352, 0.10777751640489441, -0.2663186820791452, -0.15475708493613638, 0.1596266093052691, -0.04282556977705099, 0.0643949183483528, 0.005099396235891618, 0.03789880604745122, -0.08080455978924875, -0.259800704443478, 0.35932320660795086, -0.0027350098243914545, 0.2587760218884796, 0.011398615185680683, 0.09772437347564847, -0.013980827735213096, 0.011820710828760638, 0.04361865937826224, -0.11755949569264885, 0.0814123305859539, 0.21122959410961356, 0.0995482312879176, 0.23680503942450742, -0.3597358946572058, -0.20954002565558766, 0.14251700543682091, 0.13424385175749193, 0.06536531208039378, 0.01179877376926015, -0.27253339924791364, 0.13252824269293342, -0.16084316252963618, -0.15440445527492558, -0.08906184483494144, 0.07722678448772058, 0.058148628911294506, -0.2916914053075743, 0.08531509683070908, 0.12858458717819304, 0.03673121465544682, -0.04416857247488224, -0.09014051568083233, -0.03100429831101792, 0.11064916935574728, 0.04741451253357809, 0.015836574109562206, 0.09214116777438904, -0.07486856416944647, -0.1105340028181672, 0.3612238052097382, -0.03689481042238185, -0.20086483315681108, 0.16191555762197823, -0.19719787240755976, -0.1607156556652626, 0.11326310498989187, 0.14424022482999135, 0.12061862902091888, -0.15982328894933745, 0.11796948615701694, -0.1068187421769835, 0.1365216162501383, 0.04713806479412597, -0.0010728453133197035, 0.20048254330758936, 0.08654438454541377, 0.050493194177397525, 0.15532885922148126, -0.026905365464335772, -0.11617765293922275, -0.3073765574896242, -0.15785559835785534, -0.19584434554562904, 0.1047282131126849, -0.0762719446121082, -0.14322724599041975, 0.35463659877277676, 0.11725681546449777, 0.19712799857952631, 0.06589554927268182, 0.19870204092003405, 0.17592497327068485, 0.053048388863680886, 0.07423058292479254, 0.18273530005244537, 0.15654477303032763, 0.0625879371073097, -0.167800518986769, 0.09649784495959465, 0.06010589555953629] |
712.2339 | The topological meaning of Levinson's theorem, half-bound states
included | We propose to interpret Levinson's theorem as an index theorem. This exhibits
its topological nature. It furthermore leads to a more coherent explanation of
the corrections due to resonances at thresholds.
| math-ph math.MP | we propose to interpret levinsons theorem as an index theorem this exhibits its topological nature it furthermore leads to a more coherent explanation of the corrections due to resonances at thresholds | [['we', 'propose', 'to', 'interpret', 'levinsons', 'theorem', 'as', 'an', 'index', 'theorem', 'this', 'exhibits', 'its', 'topological', 'nature', 'it', 'furthermore', 'leads', 'to', 'a', 'more', 'coherent', 'explanation', 'of', 'the', 'corrections', 'due', 'to', 'resonances', 'at', 'thresholds']] | [-0.1321396298158253, 0.09008833462975153, -0.21603906540680798, 0.1572572291310456, -0.08031582585986584, -0.14740318080951129, 0.11848640065234635, 0.32617607640643276, -0.26003513458154853, -0.3106561658243018, 0.015848753598308372, -0.2506052078378777, -0.19051448819077305, 0.18754167241915579, -0.14898271208268501, -0.045298303028703815, -0.01884296788803993, 0.027005792805744756, -0.043855835893942464, -0.1315425149946203, 0.28985860457103096, 0.07408819450516134, 0.2647634976348209, 0.17264296203821658, 0.041031741717409705, -0.0030400323110722728, 0.014602364461508489, -0.07185023842800048, -0.13410853504413559, 0.1276944713787206, 0.25306040973913285, 0.02488890957207449, 0.22646938518230472, -0.3419010796313805, -0.16437432818835782, 0.12602959368978778, 0.09610851415932449, 0.1748548123625017, 0.007331219942575591, -0.27364779365879877, 0.15323508666047164, -0.1828177937817189, -0.24510922984430386, -0.14919300758910756, 0.041819243151093685, -0.13283954996375308, -0.25812935790107133, 0.11399790473402507, 0.15652551812930934, -0.011071784872441523, -0.025310906375037325, -0.013385969664781325, -0.012598294471841185, 0.036555929740350095, 0.08914793839663147, -0.0013930520733758326, 0.07853925343783151, -0.1274230097976303, -0.20457572796412052, 0.401398797789889, -0.03904018003583675, -0.12142891394755533, 0.2099600520826155, -0.07465363029510744, -0.09478537299700322, 0.15839555655275622, 0.16839520633220673, 0.08695689081064155, -0.0671519597451533, 0.03571254267327247, -0.012881584074949064, 0.17808305976852293, 0.08589988451961789, 0.14268364207518677, 0.19960820074042968, 0.12567394128024217, 0.10161742805353095, 0.21274349063394532, -0.09977358071914603, -0.03776152726382979, -0.29559737299719163, -0.13389958294048424, -0.13112439407456306, 0.09746833079524579, -0.05911286637908028, -0.23005917587227398, 0.3805984443414115, 0.16962476149802247, 0.2496573179058971, 0.05324857435639827, 0.2603664064118939, 0.22718086919461888, 0.06790553668754236, 0.012638943750531442, 0.22311136030381726, 0.2569837824952218, 0.11057009729706953, -0.16595729963193018, 0.020772826272032915, 0.08121871305329184] |
712.234 | Polarised Positrons for the ILC | For the planned International Linear Collider it is intended to have both --
electron and positron -- beams polarised. This offers a great benefit for many
physics studies, but also provides a challenge for the engineering of the
machine. A polarised positron source that meets the machine parameters is topic
of current design studies and prototype experiments.
| hep-ex | for the planned international linear collider it is intended to have both electron and positron beams polarised this offers a great benefit for many physics studies but also provides a challenge for the engineering of the machine a polarised positron source that meets the machine parameters is topic of current design studies and prototype experiments | [['for', 'the', 'planned', 'international', 'linear', 'collider', 'it', 'is', 'intended', 'to', 'have', 'both', 'electron', 'and', 'positron', 'beams', 'polarised', 'this', 'offers', 'a', 'great', 'benefit', 'for', 'many', 'physics', 'studies', 'but', 'also', 'provides', 'a', 'challenge', 'for', 'the', 'engineering', 'of', 'the', 'machine', 'a', 'polarised', 'positron', 'source', 'that', 'meets', 'the', 'machine', 'parameters', 'is', 'topic', 'of', 'current', 'design', 'studies', 'and', 'prototype', 'experiments']] | [-0.057375520903786476, 0.10618721029975198, -0.08846459011123939, 0.07531145984857258, -0.13653871332379905, -0.18686728591776708, -0.001460720979693261, 0.39594002345746215, -0.24824322004887192, -0.2913029891523448, 0.06781397171276198, -0.3215505250475623, -0.040306817029010164, 0.3429296856238083, 0.013592495024204254, 0.12216177948496558, 0.10753901106390086, -0.04366145850243894, -0.03014393112706867, -0.26398265036669644, 0.21519228490916165, 0.19560772430321033, 0.35866519067097796, 0.12455694588239898, 0.14562384556470948, 0.027793244619599797, -0.04666669143533165, -0.041876083849505946, -0.041419183823348825, 0.16459044796965, 0.38841546679084954, 0.2281999855132943, 0.2819997503422201, -0.39196060774001207, -0.23693340739065952, 0.08045641832392324, 0.07246457141908733, 0.10017332366921684, -0.15256684513931926, -0.21424422932958062, 0.014780662234195253, -0.1890434285202487, -0.14258292220871557, -0.07504309921271422, 0.03392536597834392, 0.029178739339113236, -0.2517625741152601, -0.05443119609104046, 0.04436105272140015, 0.05910125505179167, -0.03298102405176244, -0.15661499522287736, 0.0518692401999777, 0.05749898981302977, 0.06285897121680054, 0.09108137491751801, 0.14541415605186062, -0.18478647937405515, -0.18858411620286378, 0.4248810069466179, -0.022100451520898127, -0.16552195250458845, 0.1966587545858188, -0.1613755536350337, -0.1567864461844279, 0.10599535745991902, 0.2468275903978131, 0.01820682251656597, -0.16669903834435074, 0.11389589825094762, -0.06985891071910208, 0.16700332665985282, -0.004285777876661582, 0.011034883135421709, 0.28275508917868136, 0.29494635556951504, 0.051346258720679376, 0.09270813114602458, -0.13119809650816022, -0.0038570881567218085, -0.2924056867814877, -0.14896149691194296, -0.11616233080964197, -0.005206631462682377, 0.09648033222236502, -0.09145818147808313, 0.4153329475359483, 0.14054628373547035, 0.09994927402585745, -0.05346789360046387, 0.3693779074332931, 0.040658117712221366, 0.06857625669217668, 0.02573018766257023, 0.28889070702716707, 0.09026423224078661, 0.15595294018699365, -0.18882736555215987, 0.046177763576534664, -0.07829411394301464] |
712.2341 | From the Nambu-Goto the Sigma-Model Action, Memoirs from Long Ago | In this article I describe my own stumblings in the first string era. This
was a time when most of the active people were very young, not very
knowledgeable and the field was completely new. Many of us had little training
for what we came to work on, and it took quite some time to accomplish the new
conceptual discoveries.
| hep-th | in this article i describe my own stumblings in the first string era this was a time when most of the active people were very young not very knowledgeable and the field was completely new many of us had little training for what we came to work on and it took quite some time to accomplish the new conceptual discoveries | [['in', 'this', 'article', 'i', 'describe', 'my', 'own', 'stumblings', 'in', 'the', 'first', 'string', 'era', 'this', 'was', 'a', 'time', 'when', 'most', 'of', 'the', 'active', 'people', 'were', 'very', 'young', 'not', 'very', 'knowledgeable', 'and', 'the', 'field', 'was', 'completely', 'new', 'many', 'of', 'us', 'had', 'little', 'training', 'for', 'what', 'we', 'came', 'to', 'work', 'on', 'and', 'it', 'took', 'quite', 'some', 'time', 'to', 'accomplish', 'the', 'new', 'conceptual', 'discoveries']] | [-0.043897580138360294, 0.13516030556096112, -0.147532475405862, 0.09543231856946091, -0.19475393230884763, -0.14575153698955298, 0.06258799548466075, 0.37539379980604526, -0.21346636566578142, -0.35330132110896756, 0.1063838528540238, -0.24005823329848758, -0.1569605799297155, 0.20002204959549136, -0.18172121166362096, -0.02153052661717885, 0.06984636335933612, 0.05739996089773663, -0.00012605211113469076, -0.3716188650262558, 0.30141223253587546, 0.12048646948158236, 0.20386087458770155, 0.028664307613557174, 0.05590309967460521, -0.06261171675997518, -0.07478861326067629, -0.01291347745711268, -0.10935232913816127, 0.1125305685672467, 0.29016671541257427, 0.18727816124367763, 0.3380853146062059, -0.45324989891279555, -0.14927099948212252, 0.0865692455889815, 0.13861432115910416, 0.16171176535061607, -0.07557236170593523, -0.25828900960100404, 0.06465867139059671, -0.15913741420007357, -0.0983495806043936, -0.043391167991242166, 0.0761662912890473, -0.043092771701641004, -0.12980432824973584, -0.039681289345026016, 0.06542097589285192, 0.0625454136200044, -0.026517102980228552, -0.12210275453783698, 0.11450874279805665, 0.2021330364459881, 0.1205078906742698, 0.06984532700251725, 0.046897902445457246, -0.15930520546606788, -0.06217308604489949, 0.38229334512251917, 0.012229824983278069, -0.08091467570008362, 0.254742036100035, -0.19995833283006134, -0.23070808624754013, 0.0963936375801341, 0.15604325604893393, 0.12840435612439652, -0.22732014286107882, 0.06314129568439103, -0.04009350985920025, 0.15925366624842507, 0.09014036727011583, -0.032614767488281605, 0.2079541844678885, 0.16266973164737603, -0.0021427782199156106, 0.07884737912376048, -0.07233585756256293, -0.09613237556827775, -0.2774017249881211, -0.20471880731756908, -0.1577997500258419, 0.06820180834990223, 0.03687769323794597, -0.11186259688998935, 0.42946729266037376, 0.18856430640917712, 0.19382544785296008, 0.025294610883219767, 0.2304729524905146, 0.02440315027231887, 0.08873099795842575, 0.05946229265260873, 0.2847856476106799, 0.06909726231390516, 0.21976759934292758, -0.104208142357539, 0.08258654768440589, -0.001589903215309447] |
712.2342 | Empirical analysis of the Lieb-Oxford bound in ions and molecules | Universal properties of the Coulomb interaction energy apply to all
many-electron systems. Bounds on the exchange-correlation energy, inparticular,
are important for the construction of improved density functionals. Here we
investigate one such universal property -- the Lieb-Oxford lower bound -- for
ionic and molecular systems. In recent work [J. Chem. Phys. 127, 054106
(2007)], we observed that for atoms and electron liquids this bound may be
substantially tightened. Calculations for a few ions and molecules suggested
the same tendency, but were not conclusive due to the small number of systems
considered. Here we extend that analysis to many different families of ions and
molecules, and find that for these, too, the bound can be empirically tightened
by a similar margin as for atoms and electron liquids. Tightening the
Lieb-Oxford bound will have consequences for the performance of various
approximate exchange-correlation functionals.
| physics.chem-ph cond-mat.mtrl-sci physics.atom-ph | universal properties of the coulomb interaction energy apply to all manyelectron systems bounds on the exchangecorrelation energy inparticular are important for the construction of improved density functionals here we investigate one such universal property the lieboxford lower bound for ionic and molecular systems in recent work j chem phys 127 054106 2007 we observed that for atoms and electron liquids this bound may be substantially tightened calculations for a few ions and molecules suggested the same tendency but were not conclusive due to the small number of systems considered here we extend that analysis to many different families of ions and molecules and find that for these too the bound can be empirically tightened by a similar margin as for atoms and electron liquids tightening the lieboxford bound will have consequences for the performance of various approximate exchangecorrelation functionals | [['universal', 'properties', 'of', 'the', 'coulomb', 'interaction', 'energy', 'apply', 'to', 'all', 'manyelectron', 'systems', 'bounds', 'on', 'the', 'exchangecorrelation', 'energy', 'inparticular', 'are', 'important', 'for', 'the', 'construction', 'of', 'improved', 'density', 'functionals', 'here', 'we', 'investigate', 'one', 'such', 'universal', 'property', 'the', 'lieboxford', 'lower', 'bound', 'for', 'ionic', 'and', 'molecular', 'systems', 'in', 'recent', 'work', 'j', 'chem', 'phys', '127', '054106', '2007', 'we', 'observed', 'that', 'for', 'atoms', 'and', 'electron', 'liquids', 'this', 'bound', 'may', 'be', 'substantially', 'tightened', 'calculations', 'for', 'a', 'few', 'ions', 'and', 'molecules', 'suggested', 'the', 'same', 'tendency', 'but', 'were', 'not', 'conclusive', 'due', 'to', 'the', 'small', 'number', 'of', 'systems', 'considered', 'here', 'we', 'extend', 'that', 'analysis', 'to', 'many', 'different', 'families', 'of', 'ions', 'and', 'molecules', 'and', 'find', 'that', 'for', 'these', 'too', 'the', 'bound', 'can', 'be', 'empirically', 'tightened', 'by', 'a', 'similar', 'margin', 'as', 'for', 'atoms', 'and', 'electron', 'liquids', 'tightening', 'the', 'lieboxford', 'bound', 'will', 'have', 'consequences', 'for', 'the', 'performance', 'of', 'various', 'approximate', 'exchangecorrelation', 'functionals']] | [-0.08711458165567074, 0.14748596859653648, -0.059819071213614274, 0.10871368348715733, 0.011989836624602405, -0.15146059989627692, 0.08400886813714671, 0.3384995388617511, -0.18346535613117138, -0.3624538804216833, 0.017712242284072765, -0.27803164949345827, -0.11234210880486656, 0.22212707958679995, -0.022659332990619563, 0.08104355057044853, 0.04499302752292547, -0.03414875046490765, -0.08879086378419089, -0.26919708269306547, 0.25091226991909227, 0.08629932336294822, 0.24290556669601227, 0.168388181969041, 0.024855974306211732, -0.03113254773423826, 0.0629576285647751, 0.02488514541132416, -0.19315139035330608, 0.1465138220563263, 0.25842208886333146, 0.036043148005394626, 0.241560490165415, -0.45993353999990355, -0.2268900531090766, 0.10767923704877817, 0.1474577295577167, 0.15574118962993833, -0.052852823081587126, -0.2570491597833608, 0.03689614337661284, -0.19875699541658806, -0.10658756066984731, -0.15334871353534646, 0.07668615834747287, 0.09502913185442202, -0.25899863508764465, 0.10838726745154574, 0.08042652207165421, 0.0032050109567541944, -0.09619823207395325, -0.20106864279042258, 0.007539257191945698, 0.03438016267747973, 0.02219364789428471, 0.02594025003918105, 0.1445990812281321, -0.0875120525794412, -0.08955019846200112, 0.3523554535542461, -0.05598537466930989, -0.16636189743340443, 0.2479891871008352, -0.10868946406253271, -0.1786117035185369, 0.11466168439880067, 0.15519532275540257, 0.11080860445383105, -0.15396591193853415, 0.0935503152381669, -0.05225918740670619, 0.1586823283641083, 0.09413916227347452, 0.11000780564592146, 0.16178394393265086, 0.08115843302241975, 0.06246802458169421, 0.08508239134228218, -0.07957744014637022, -0.08583248308491256, -0.21986711485539195, -0.17282370931201735, -0.2292555873424632, 0.034948303309883154, -0.03946161338085436, -0.12299126598283835, 0.34177285705784355, 0.14590988765896143, 0.15892579330285514, 0.020589190704426427, 0.22317289228705192, 0.11446957559770361, 0.03730562782223276, 0.09745392524603781, 0.28671225752738444, 0.13231899486452664, 0.013153986802673061, -0.22221435582191557, 0.0719003682012214, 0.06611285437226778] |
712.2343 | Radiation damage of the ILC positron source target | The radiation damage of the positron source target for the International
Linear Collider (ILC) has been studied. The displacement damage in target
material due to multi-MeV photons has been calculated by combining FLUKA
simulations for secondary particle production, SPECTER data for neutron
displacement cross-sections and the Lindhard model for estimations of
displacement damage by ions. The radiation damage of a stationary Ti6Al4V
target in units of displacements per atom (dpa) has been estimated for photons
from an undulator with strength 0.92 and period 1.15 cm. The calculated damage
is 7 dpa. Approximately 12.5% of displacement damage result from neutrons.
| physics.acc-ph | the radiation damage of the positron source target for the international linear collider ilc has been studied the displacement damage in target material due to multimev photons has been calculated by combining fluka simulations for secondary particle production specter data for neutron displacement crosssections and the lindhard model for estimations of displacement damage by ions the radiation damage of a stationary ti6al4v target in units of displacements per atom dpa has been estimated for photons from an undulator with strength 092 and period 115 cm the calculated damage is 7 dpa approximately 125 of displacement damage result from neutrons | [['the', 'radiation', 'damage', 'of', 'the', 'positron', 'source', 'target', 'for', 'the', 'international', 'linear', 'collider', 'ilc', 'has', 'been', 'studied', 'the', 'displacement', 'damage', 'in', 'target', 'material', 'due', 'to', 'multimev', 'photons', 'has', 'been', 'calculated', 'by', 'combining', 'fluka', 'simulations', 'for', 'secondary', 'particle', 'production', 'specter', 'data', 'for', 'neutron', 'displacement', 'crosssections', 'and', 'the', 'lindhard', 'model', 'for', 'estimations', 'of', 'displacement', 'damage', 'by', 'ions', 'the', 'radiation', 'damage', 'of', 'a', 'stationary', 'ti6al4v', 'target', 'in', 'units', 'of', 'displacements', 'per', 'atom', 'dpa', 'has', 'been', 'estimated', 'for', 'photons', 'from', 'an', 'undulator', 'with', 'strength', '092', 'and', 'period', '115', 'cm', 'the', 'calculated', 'damage', 'is', '7', 'dpa', 'approximately', '125', 'of', 'displacement', 'damage', 'result', 'from', 'neutrons']] | [-7.294086948733287e-05, 0.22112445422872135, -0.03327138776505234, 0.04532799480901561, 0.050438812920339214, -0.12789980409140086, -0.010586766864765774, 0.3874523415408953, -0.22462399830721846, -0.3421822160181373, 0.0013778762529707616, -0.38402378818753996, 0.055554682993320656, 0.21025468059462693, 0.009169206942779699, 0.12828826228382462, 0.06327327543333398, 0.027457333513243934, -0.0033342016653882135, -0.1742632312316805, 0.18359981257129798, 0.22681355495193992, 0.27616851392079783, 0.09264589423276108, 0.1452699632517937, 0.05313261654322045, 0.011201902427016805, -0.042198124144113426, -0.09075256916365088, 0.06803749792861065, 0.2286346395302451, 0.07697965493754982, 0.20884202202462188, -0.4380435198733602, -0.25736353280154445, 0.08811300529656235, 0.053180466716488205, 0.10112595567573802, -0.08660329029791886, -0.2341584163162895, 0.047627094124721346, -0.21894914831853274, -0.13884625826595406, 0.059441465686893825, 0.07310042453158383, 0.062370183637760805, -0.2701656429021798, 0.06495399824390659, -0.02618974611878094, 0.09639507011778539, -0.1060515051270186, -0.1555719368601914, -0.049724079913111646, 0.026229225067337127, 0.07616689919395316, 0.07343521493609355, 0.2562585260502693, -0.09558412988641948, -0.12699593322097577, 0.3871218693687232, -0.0288106708956713, -0.117212048722337, 0.08965237914805649, -0.1730670729520345, -0.027241672224581542, 0.31303496043564694, 0.19858615990314218, 0.05107485649241793, -0.20614455886787236, 0.034906870256309785, 0.05033924991283754, 0.22526526595277693, 0.17826647061185508, -0.03200810117590608, 0.20819260506841325, 0.2162959979531929, -0.027284860269947336, 0.15603159824292165, -0.22275224490787346, 0.0048739879787194, -0.29388515456965325, -0.11876683054736467, -0.16816405686690952, 0.0485507363660468, -0.03554091767632553, -0.08420461383789327, 0.3349046636128215, 0.07351973788304762, 0.11200579895515635, -0.024386112813395682, 0.28679582416409194, 0.08592891367622699, 0.08276943453793964, -0.003184600810389825, 0.3533806734897121, 0.17582124998237975, 0.1088769869653113, -0.23453516239356814, 0.10490431188314099, 0.0006554079679490039] |
712.2344 | The Dynamical Mordell-Lang Conjecture | We prove a special case of a dynamical analogue of the classical Mordell-Lang
conjecture. In particular, let $\phi$ be a rational function with no
superattracting periodic points other than exceptional points. If the
coefficients of $\phi$ are algebraic, we show that the orbit of a point outside
the union of proper preperiodic subvarieties of $(\bP^1)^g$ has only finite
intersection with any curve contained in $(\bP^1)^g$. We also show that our
result holds for indecomposable polynomials $\phi$ with coefficients in $\bC$.
Our proof uses results from $p$-adic dynamics together with an integrality
argument. The extension to polynomials defined over $\bC$ uses the method of
specializations coupled with some new results of Medvedev and Scanlon for
describing the periodic plane curves under the action of $(\phi,\phi)$ on
$\bA^2$.
| math.NT math.AG math.DS | we prove a special case of a dynamical analogue of the classical mordelllang conjecture in particular let phi be a rational function with no superattracting periodic points other than exceptional points if the coefficients of phi are algebraic we show that the orbit of a point outside the union of proper preperiodic subvarieties of bp1g has only finite intersection with any curve contained in bp1g we also show that our result holds for indecomposable polynomials phi with coefficients in bc our proof uses results from padic dynamics together with an integrality argument the extension to polynomials defined over bc uses the method of specializations coupled with some new results of medvedev and scanlon for describing the periodic plane curves under the action of phiphi on ba2 | [['we', 'prove', 'a', 'special', 'case', 'of', 'a', 'dynamical', 'analogue', 'of', 'the', 'classical', 'mordelllang', 'conjecture', 'in', 'particular', 'let', 'phi', 'be', 'a', 'rational', 'function', 'with', 'no', 'superattracting', 'periodic', 'points', 'other', 'than', 'exceptional', 'points', 'if', 'the', 'coefficients', 'of', 'phi', 'are', 'algebraic', 'we', 'show', 'that', 'the', 'orbit', 'of', 'a', 'point', 'outside', 'the', 'union', 'of', 'proper', 'preperiodic', 'subvarieties', 'of', 'bp1g', 'has', 'only', 'finite', 'intersection', 'with', 'any', 'curve', 'contained', 'in', 'bp1g', 'we', 'also', 'show', 'that', 'our', 'result', 'holds', 'for', 'indecomposable', 'polynomials', 'phi', 'with', 'coefficients', 'in', 'bc', 'our', 'proof', 'uses', 'results', 'from', 'padic', 'dynamics', 'together', 'with', 'an', 'integrality', 'argument', 'the', 'extension', 'to', 'polynomials', 'defined', 'over', 'bc', 'uses', 'the', 'method', 'of', 'specializations', 'coupled', 'with', 'some', 'new', 'results', 'of', 'medvedev', 'and', 'scanlon', 'for', 'describing', 'the', 'periodic', 'plane', 'curves', 'under', 'the', 'action', 'of', 'phiphi', 'on', 'ba2']] | [-0.21698554839578368, 0.0569376537545571, -0.15238113376507234, 0.0008337262477124891, -0.07438718518542667, -0.14623407840507194, 0.03411060798868176, 0.29276557406410575, -0.2858916404957493, -0.16720345581791574, 0.0655172165096437, -0.2740513313741934, -0.16187344833639555, 0.27148521821870797, -0.11140119540317345, 0.011307005190305532, 0.08360283297576732, 0.10068407415172025, -0.09114912599174967, -0.3103456301915069, 0.35448766183934266, -0.0860425253687877, 0.16020609356553084, 0.0567054102143776, 0.10387466795979097, 0.06782171391927067, 0.02243777064816846, -0.023301378157245176, -0.16128404133245744, 0.09880078036662927, 0.24539723789559736, 0.09503574845673997, 0.20523611073111814, -0.34143380607448276, -0.14796663573079352, 0.21026750654733228, 0.11943177741035939, 0.02092052303487435, -0.02108652051256579, -0.24651307878347353, 0.13651337286066864, -0.11040911956074377, -0.22162374150338432, -0.048753136911639766, 0.046237189240092715, 0.07624646395655169, -0.28929373727089935, 0.012734154984495798, 0.11142972587385297, 0.17895759144800738, -0.07874256578619562, -0.1397184055071369, -0.040415588805767434, 0.0357706704544985, 0.011874883630943875, 0.0889880996828358, 0.04692855911074026, -0.06305526736597981, -0.12498482078644296, 0.3771066123078908, -0.09114427184988838, -0.2286894948582255, 0.14385435437302915, -0.191826612970251, -0.17899045988076157, 0.1340025082923427, 0.0985018795679113, 0.12498280008684003, -0.02213025613567762, 0.1712609433541788, -0.15651281309434242, 0.11975809732323414, 0.1368845048578336, 0.0025281943277561014, 0.15452453960484314, 0.04864616762103152, 0.07879591112601526, 0.16737329538943502, 0.021380571447568195, -0.09043363609065812, -0.36574041182475703, -0.15197433093788043, -0.12952076014405448, 0.09628350582093961, -0.12598550238544703, -0.18206291781332826, 0.3844697335659857, 0.07517364329138335, 0.20221816778423324, 0.1138357842461236, 0.22060928246261732, 0.09803195319311213, 0.04256477322234141, 0.09583824242074643, 0.14935077923737775, 0.18220696588903065, -0.003586732446321196, -0.14581173473796358, 0.008936813315226427, 0.16841083450708538] |
712.2345 | Inflationary NonGaussianity from Thermal Fluctuations | We calculate the contribution of the fluctuations with the thermal origin to
the inflationary nonGaussianity. We find that even a small component of
radiation can lead to a large nonGaussianity. We show that this thermal
nonGaussianity always has positive $f_{\rm NL}$. We illustrate our result in
the chain inflation model and the very weakly dissipative warm inflation model.
We show that $f_{NL}\sim {\cal O}(1)$ is general in such models. If we allow
modified equation of state, or some decoupling effects, the large thermal
nonGaussianity of order $f_{\rm NL}>5$ or even $f_{\rm NL}\sim 100$ can be
produced. We also show that the power spectrum of chain inflation should have a
thermal origin. In the Appendix A, we made a clarification on the different
conventions used in the literature related to the calculation of $f_{\rm NL}$.
| hep-th astro-ph gr-qc | we calculate the contribution of the fluctuations with the thermal origin to the inflationary nongaussianity we find that even a small component of radiation can lead to a large nongaussianity we show that this thermal nongaussianity always has positive f_rm nl we illustrate our result in the chain inflation model and the very weakly dissipative warm inflation model we show that f_nlsim cal o1 is general in such models if we allow modified equation of state or some decoupling effects the large thermal nongaussianity of order f_rm nl5 or even f_rm nlsim 100 can be produced we also show that the power spectrum of chain inflation should have a thermal origin in the appendix a we made a clarification on the different conventions used in the literature related to the calculation of f_rm nl | [['we', 'calculate', 'the', 'contribution', 'of', 'the', 'fluctuations', 'with', 'the', 'thermal', 'origin', 'to', 'the', 'inflationary', 'nongaussianity', 'we', 'find', 'that', 'even', 'a', 'small', 'component', 'of', 'radiation', 'can', 'lead', 'to', 'a', 'large', 'nongaussianity', 'we', 'show', 'that', 'this', 'thermal', 'nongaussianity', 'always', 'has', 'positive', 'f_rm', 'nl', 'we', 'illustrate', 'our', 'result', 'in', 'the', 'chain', 'inflation', 'model', 'and', 'the', 'very', 'weakly', 'dissipative', 'warm', 'inflation', 'model', 'we', 'show', 'that', 'f_nlsim', 'cal', 'o1', 'is', 'general', 'in', 'such', 'models', 'if', 'we', 'allow', 'modified', 'equation', 'of', 'state', 'or', 'some', 'decoupling', 'effects', 'the', 'large', 'thermal', 'nongaussianity', 'of', 'order', 'f_rm', 'nl5', 'or', 'even', 'f_rm', 'nlsim', '100', 'can', 'be', 'produced', 'we', 'also', 'show', 'that', 'the', 'power', 'spectrum', 'of', 'chain', 'inflation', 'should', 'have', 'a', 'thermal', 'origin', 'in', 'the', 'appendix', 'a', 'we', 'made', 'a', 'clarification', 'on', 'the', 'different', 'conventions', 'used', 'in', 'the', 'literature', 'related', 'to', 'the', 'calculation', 'of', 'f_rm', 'nl']] | [-0.14887480738002862, 0.17332543039159265, -0.09486695365813463, 0.11653113280381285, -0.059007883057130305, -0.10881648551144485, -0.01750183050562419, 0.3188127125682893, -0.24739625381736724, -0.29243282018813177, 0.06781187277884959, -0.2721434550276443, -0.11319886509732191, 0.17494479070396732, -0.01075399194760665, -0.003297790176054435, 0.033111116907962444, -0.015571540216359295, 0.003629800308419308, -0.24749253580430106, 0.286823731727217, 0.09676467744918513, 0.19365637917627596, 0.07559892522699352, 0.021239408924341646, -0.11217762226127644, 0.017687979965720937, 0.0452496387314663, -0.16830680889373736, 0.057488114503559784, 0.17987793155915105, 0.11510035523157845, 0.216005157498615, -0.41350732522724726, -0.22452747800957357, 0.21966032445458555, 0.12283117153313455, 0.16820707216983966, -0.009935693294956669, -0.2283317873032013, 0.05349231875543274, -0.22058172562896317, -0.08561568626779507, -0.1070720304165091, -0.006970080251652581, -0.03230501125469359, -0.2920451602245222, 0.11664339105417056, 0.04958335371773148, -0.032611143536806636, -0.014260364345399968, -0.08766853673046511, -0.03490803287401031, 0.009316368803465322, 0.055218035462937916, 0.020283605398631086, 0.14847820832519165, -0.1431659175023965, -0.03270740194051568, 0.4076367753780266, -0.18457089725155523, -0.13992676072156252, 0.12646509523489582, -0.17640901997741035, -0.2106963857980584, 0.05820433728035484, 0.137969419511327, 0.09015923229727282, -0.06607512154255006, 0.10965630266799786, 0.03575837431795228, 0.23699358578965957, 0.03432153828734004, 0.03423624684723136, 0.2498599569688537, 0.0948722351398041, 0.04180241349577181, 0.15471366197548445, -0.09253702347980006, -0.05587287067519084, -0.34438884963712363, -0.09601923314951805, -0.15417996109393772, 0.10483267862930087, -0.134357485416195, -0.1684004926407682, 0.4091739816201934, 0.21534513410507086, 0.2209183674778289, 0.059069893249908266, 0.2679383097800301, 0.16048413427909766, 0.03598400465483819, 0.07292306110777183, 0.2914297690646768, 0.08302142634404017, 0.0604668627388831, -0.22707057231689678, 0.03490601947058493, -0.019335460449471625] |
712.2346 | Comparison of Distances from RR Lyrae Stars, the Tip of the Red-Giant
Branch and Classical Cepheids | The extragalactic distance scale relies heavily on Cepheids. However, it has
become clear from observations and pulsation models that the slope and zero
point of their P-L relations differ from galaxy to galaxy. This makes the
determination of Cepheid distances complex and calls for an independent test of
their differences. The test is provided by RR Lyrae star distances of 24
galaxies which calibrate the tip of the red-giant branch (TRGB; M_I = -4.05),
which in turn confirms the adopted Cepheids distances on our 2006 distance
scale in 18 cases to within 0.1 mag on average. Relative SN Ia and velocity
distances deny a remaining significant metallicity effect of the adopted
distances. The new support for these Cepheid distances increases the weight of
our previous calibration of the SN Ia luminosity and of the 21cm line width -
luminosity (TF) relation. The value of H_0 = 62.3 (+/-5) is confirmed on all
scales.
| astro-ph | the extragalactic distance scale relies heavily on cepheids however it has become clear from observations and pulsation models that the slope and zero point of their pl relations differ from galaxy to galaxy this makes the determination of cepheid distances complex and calls for an independent test of their differences the test is provided by rr lyrae star distances of 24 galaxies which calibrate the tip of the redgiant branch trgb m_i 405 which in turn confirms the adopted cepheids distances on our 2006 distance scale in 18 cases to within 01 mag on average relative sn ia and velocity distances deny a remaining significant metallicity effect of the adopted distances the new support for these cepheid distances increases the weight of our previous calibration of the sn ia luminosity and of the 21cm line width luminosity tf relation the value of h_0 623 5 is confirmed on all scales | [['the', 'extragalactic', 'distance', 'scale', 'relies', 'heavily', 'on', 'cepheids', 'however', 'it', 'has', 'become', 'clear', 'from', 'observations', 'and', 'pulsation', 'models', 'that', 'the', 'slope', 'and', 'zero', 'point', 'of', 'their', 'pl', 'relations', 'differ', 'from', 'galaxy', 'to', 'galaxy', 'this', 'makes', 'the', 'determination', 'of', 'cepheid', 'distances', 'complex', 'and', 'calls', 'for', 'an', 'independent', 'test', 'of', 'their', 'differences', 'the', 'test', 'is', 'provided', 'by', 'rr', 'lyrae', 'star', 'distances', 'of', '24', 'galaxies', 'which', 'calibrate', 'the', 'tip', 'of', 'the', 'redgiant', 'branch', 'trgb', 'm_i', '405', 'which', 'in', 'turn', 'confirms', 'the', 'adopted', 'cepheids', 'distances', 'on', 'our', '2006', 'distance', 'scale', 'in', '18', 'cases', 'to', 'within', '01', 'mag', 'on', 'average', 'relative', 'sn', 'ia', 'and', 'velocity', 'distances', 'deny', 'a', 'remaining', 'significant', 'metallicity', 'effect', 'of', 'the', 'adopted', 'distances', 'the', 'new', 'support', 'for', 'these', 'cepheid', 'distances', 'increases', 'the', 'weight', 'of', 'our', 'previous', 'calibration', 'of', 'the', 'sn', 'ia', 'luminosity', 'and', 'of', 'the', '21cm', 'line', 'width', 'luminosity', 'tf', 'relation', 'the', 'value', 'of', 'h_0', '623', '5', 'is', 'confirmed', 'on', 'all', 'scales']] | [-0.0617132954330494, 0.06812554347416153, -0.1083543765420715, 0.09003313812504833, -0.12903763045556843, -0.08795025682076812, 0.14454026035188386, 0.39976360108703374, -0.19058263343157403, -0.3198998511582613, 0.022483621393330395, -0.3082392743400609, -0.0034226993657648563, 0.25387481016417346, -0.05123872461069065, -0.013733496069908141, 0.09247178578904519, -0.06016133839574953, -0.06337555384729057, -0.3139773859114697, 0.2859514992001156, 0.047799292876152324, 0.23291601008735596, -0.05700477609410882, 0.05456756042704607, -0.08641475611676773, -0.129797993786633, -0.03553137525985221, -0.17558928009612523, 0.08657563003400962, 0.1919552648326741, 0.12875580631385675, 0.21086355016877253, -0.2881648919979731, -0.18535034479262927, 0.086320176286002, 0.20037430353462696, 0.04264002767934774, 0.033949808496981856, -0.24193070927634835, 0.04019135958825548, -0.10756472526040549, -0.1656947603325049, 0.12286315632363161, 0.11554992887657135, 0.05781883232489539, -0.18744239648183186, 0.1625773496584346, 0.0088262952726897, 0.16056524513289333, -0.05332490635414918, -0.18884617230622097, -0.03926535333817204, 0.11542476122112323, 0.039225007944429915, 0.10934713031941404, 0.11284054320926468, -0.09932166639249772, -0.0002800606470555067, 0.3962047700335582, -0.04451551040324072, -0.0006659301913653811, 0.21174747556603205, -0.15204706361982973, -0.10072168273327406, 0.04301741569923858, 0.13707058560782268, 0.09288878892587188, -0.18428284648805857, 0.046364217993104834, 0.04677803718795379, 0.23392097827144123, 0.0847020205995068, 0.07277733195592494, 0.2610739075640837, 0.10970409444222848, 0.06056056540692225, -0.020783322881907224, -0.27678575737401845, -0.04000434085416297, -0.2937356700344632, -0.09349518648348748, -0.16928166442317888, 0.12017499393162628, -0.22067307625848723, -0.14575160149174432, 0.3282209809822962, 0.1357612614434523, 0.24888152025019128, 0.08994699081561218, 0.24836095302676162, 0.07250388654569785, 0.15448869987080494, 0.09767851035421093, 0.38577891413122417, 0.21036981005376826, 0.046072198003530504, -0.2670437272141377, 0.08720640096134351, 0.025808979741608104] |
712.2347 | Virtual Bridge Number One Knots | We define the virtual bridge number $vb(K)$ and the virtual unknotting number
$vu(K)$ invariants for virtual knots. For ordinary knots $K$ they are closely
related to the bridge number $b(K)$ and the unknotting number $u(K)$ and we
have $vu(K)\leq u(K), vb(K)\leq b(K).$
There are no ordinary knots $K$ with $b(K)=1.$ We show there are infinitely
many homotopy classes of virtual knots each of which contains infinitely many
isotopy classes of $K$ with $vb(K)=1.$ In fact for each $i\in \N$ there exists
$K$ virtually homotopic (but not virtually isotopic) to the unknot with
$vb(K)=1$ and $vu(K)=i.$
| math.GT | we define the virtual bridge number vbk and the virtual unknotting number vuk invariants for virtual knots for ordinary knots k they are closely related to the bridge number bk and the unknotting number uk and we have vukleq uk vbkleq bk there are no ordinary knots k with bk1 we show there are infinitely many homotopy classes of virtual knots each of which contains infinitely many isotopy classes of k with vbk1 in fact for each iin n there exists k virtually homotopic but not virtually isotopic to the unknot with vbk1 and vuki | [['we', 'define', 'the', 'virtual', 'bridge', 'number', 'vbk', 'and', 'the', 'virtual', 'unknotting', 'number', 'vuk', 'invariants', 'for', 'virtual', 'knots', 'for', 'ordinary', 'knots', 'k', 'they', 'are', 'closely', 'related', 'to', 'the', 'bridge', 'number', 'bk', 'and', 'the', 'unknotting', 'number', 'uk', 'and', 'we', 'have', 'vukleq', 'uk', 'vbkleq', 'bk', 'there', 'are', 'no', 'ordinary', 'knots', 'k', 'with', 'bk1', 'we', 'show', 'there', 'are', 'infinitely', 'many', 'homotopy', 'classes', 'of', 'virtual', 'knots', 'each', 'of', 'which', 'contains', 'infinitely', 'many', 'isotopy', 'classes', 'of', 'k', 'with', 'vbk1', 'in', 'fact', 'for', 'each', 'iin', 'n', 'there', 'exists', 'k', 'virtually', 'homotopic', 'but', 'not', 'virtually', 'isotopic', 'to', 'the', 'unknot', 'with', 'vbk1', 'and', 'vuki']] | [-0.2680954533613423, 0.18558947272857734, -0.06364094323770986, 0.08921125610725264, -0.05185368550376276, -0.22260859866071953, 0.027440612172979988, 0.40665511849723507, -0.2781075816392229, -0.34581211770183584, -0.002438117343189425, -0.29926353677311973, -0.11146348665646288, 0.23010408906972432, -0.07743097904525446, -0.009169493393784159, 0.04971707424441917, 0.09818674144701342, 0.05808682723384183, -0.2877760535796707, 0.333485243606559, -0.17388951435313676, 0.11709559743026608, 0.04400456285501799, 0.06416302276879884, -0.04579549500969856, -0.03240174024753022, 0.013215865274064577, -0.17177452686964795, 0.07690490543151672, 0.3326456769045149, 0.10401326527274894, 0.15574348840360228, -0.35106956171855497, -0.09852056129014099, 0.2386345084693827, 0.16402837858545813, -0.035322977257421596, -0.012535450802174178, -0.20529685439437292, 0.13491005875337658, -0.14882115494941225, -0.13524687627142065, -0.04258928945539205, 0.0891774009031589, 0.07310085777674666, -0.12587052428299625, -0.09438890867521253, 0.02284926346639234, 0.10943111540812454, 0.061684475706764656, -0.16582016914748074, -0.03683827188012473, 0.18736922084301544, 0.0996260212713413, 0.044502482489222304, 0.04105406143608388, -0.15417688950769384, -0.12603336599069448, 0.35934367323859356, -0.02172931167035458, -0.17231815068700004, 0.2596216739359406, -0.13243493004021853, -0.22624234101222304, 0.2729208254454176, -0.0009489443697286456, 0.09373707146373357, -0.024755550339148287, 0.14681902464761745, -0.17941137294421036, 0.14354497248704515, 0.12222768323956414, -0.0021196491767788367, 0.11532690798800983, 0.002636375240563007, 0.07725531367318224, 0.14743812599878633, -0.024944303044526096, -0.04535217230009397, -0.3401603012272481, -0.26514632169031693, -0.10110044671913211, 0.10400292624767184, -0.08244242488205161, -0.1927745346126429, 0.3063567868758286, 0.04289609905635792, 0.1791221556735089, 0.12366829697550222, 0.2804638359269253, 0.032342109572812076, 0.12467016254583102, 0.20521746871972016, 0.09810041091561819, 0.14322574424107423, -0.020088898499360245, -0.11165123537517666, 0.007222686062326257, 0.17426846284168154] |
712.2348 | Measurement of Lifetime and Decay-Width Difference in B0s -> J/psi phi
Decays | We measure the mean lifetime, tau=2/(Gamma_L+Gamma_H), and the width
difference, DeltaGamma=Gamma_L-Gamma_H, of the light and heavy mass eigenstates
of the B0s meson, B0sL and B0sH, in B0s -> J/psi phi decays using 1.7 fb^-1 of
data collected with the CDF II detector at the Fermilab Tevatron ppbar
collider. Assuming CP conservation, a good approximation for the B0s system in
the Standard Model, we obtain DeltaGamma = 0.076^+0.059_-0.063 (stat.) +- 0.006
(syst.) ps^-1 and tau = 1.52 +- 0.04 (stat.) +- 0.02 (syst.) ps, the most
precise measurements to date. Our constraints on the weak phase and DeltaGamma
are consistent with CP conservation.
Dedicated to the memory of our dear friend and colleague, Michael P. Schmidt
| hep-ex | we measure the mean lifetime tau2gamma_lgamma_h and the width difference deltagammagamma_lgamma_h of the light and heavy mass eigenstates of the b0s meson b0sl and b0sh in b0s jpsi phi decays using 17 fb1 of data collected with the cdf ii detector at the fermilab tevatron ppbar collider assuming cp conservation a good approximation for the b0s system in the standard model we obtain deltagamma 00760059_0063 stat 0006 syst ps1 and tau 152 004 stat 002 syst ps the most precise measurements to date our constraints on the weak phase and deltagamma are consistent with cp conservation dedicated to the memory of our dear friend and colleague michael p schmidt | [['we', 'measure', 'the', 'mean', 'lifetime', 'tau2gamma_lgamma_h', 'and', 'the', 'width', 'difference', 'deltagammagamma_lgamma_h', 'of', 'the', 'light', 'and', 'heavy', 'mass', 'eigenstates', 'of', 'the', 'b0s', 'meson', 'b0sl', 'and', 'b0sh', 'in', 'b0s', 'jpsi', 'phi', 'decays', 'using', '17', 'fb1', 'of', 'data', 'collected', 'with', 'the', 'cdf', 'ii', 'detector', 'at', 'the', 'fermilab', 'tevatron', 'ppbar', 'collider', 'assuming', 'cp', 'conservation', 'a', 'good', 'approximation', 'for', 'the', 'b0s', 'system', 'in', 'the', 'standard', 'model', 'we', 'obtain', 'deltagamma', '00760059_0063', 'stat', '0006', 'syst', 'ps1', 'and', 'tau', '152', '004', 'stat', '002', 'syst', 'ps', 'the', 'most', 'precise', 'measurements', 'to', 'date', 'our', 'constraints', 'on', 'the', 'weak', 'phase', 'and', 'deltagamma', 'are', 'consistent', 'with', 'cp', 'conservation', 'dedicated', 'to', 'the', 'memory', 'of', 'our', 'dear', 'friend', 'and', 'colleague', 'michael', 'p', 'schmidt']] | [-0.08655700226797937, 0.17194141200833166, -0.09492285739934932, 0.09542990553801736, -0.049080260939752825, -0.169588228145865, 0.09217921688440793, 0.25874660866191757, -0.1673271649644728, -0.3476582583075819, -0.001561734861192795, -0.43661655506226593, 0.10731848363782494, 0.12022756084871407, -0.019612107175187424, 0.1550441788198301, 0.13523853407689154, -0.05512446979768216, -0.07976105336386424, -0.20346064650668547, 0.15139596045124704, 0.030664410495844025, 0.2780495459312358, 0.0864362404894424, 0.028659882078780077, 0.018209717917041138, -0.09665639893724941, -0.10566290255743437, -0.16441364565308994, 0.04824528865552006, 0.1893254969615485, 0.10960861620529053, 0.10831797538468471, -0.2799447057410501, 0.023659881123771462, 0.1815109393075825, 0.1157513314168542, -0.017914710259691883, -0.02068486565818043, -0.41974379356655006, 0.15637155492619897, -0.20204879556191513, -0.05780134784603993, 0.03836622319291704, 0.06281631943196632, -0.09642838822149385, -0.3707752302378559, 0.20744352385652468, -0.10135168786375569, 0.08878273197199003, 0.004423267400572793, -0.2847644095521761, -0.055417669050467126, -0.03287604944153617, 0.09625216312773634, 0.13570121112458694, 0.099115083200069, -0.0671094589387604, -0.14907576000461212, 0.3737012877379759, -0.12040997886483987, -0.13082051936250466, 0.0855611964630393, -0.235974122720878, -0.12051691336091608, 0.11931331745850352, 0.23269396701541084, 0.05257921956945211, -0.23321716279427235, 0.09588716307749004, -0.030561713152565062, 0.26218142152692264, 0.03967336213771397, 0.08709395620434617, 0.16340284787404996, 0.19835926418622526, -0.005320874601938368, -0.026872122418493606, -0.16428415136761032, -0.04486041621063263, -0.4190391746412318, -0.12255109312424722, -0.06814031671875945, 0.11304165163220695, -0.055998123214242065, -0.0022576205933896396, 0.338418476194, 0.06696462370634365, 0.2510137671286849, 0.05572422968599802, 0.26390376363549595, 0.08333622632087029, 0.008292461557665285, 0.08444936501235553, 0.34857551850235236, 0.2374228933624461, 0.22326761874137446, -0.2909707626542793, 0.037319450540683016, 0.01740484163075542] |
712.2349 | Optimization and Scale-freeness for Complex Networks | Complex networks are mapped to a model of boxes and balls where the balls are
distinguishable. It is shown that the scale-free size distribution of boxes
maximizes the information associated with the boxes provided configurations
including boxes containing a finite fraction of the total amount of balls are
excluded. It is conjectured that for a connected network with only links
between different nodes, the nodes with a finite fraction of links are
effectively suppressed. It is hence suggested that for such networks the
scale-free node-size distribution maximizes the information encoded on the
nodes. The noise associated with the size distributions is also obtained from a
maximum entropy principle. Finally explicit predictions from our least bias
approach are found to be born out by metabolic networks.
| cond-mat.stat-mech | complex networks are mapped to a model of boxes and balls where the balls are distinguishable it is shown that the scalefree size distribution of boxes maximizes the information associated with the boxes provided configurations including boxes containing a finite fraction of the total amount of balls are excluded it is conjectured that for a connected network with only links between different nodes the nodes with a finite fraction of links are effectively suppressed it is hence suggested that for such networks the scalefree nodesize distribution maximizes the information encoded on the nodes the noise associated with the size distributions is also obtained from a maximum entropy principle finally explicit predictions from our least bias approach are found to be born out by metabolic networks | [['complex', 'networks', 'are', 'mapped', 'to', 'a', 'model', 'of', 'boxes', 'and', 'balls', 'where', 'the', 'balls', 'are', 'distinguishable', 'it', 'is', 'shown', 'that', 'the', 'scalefree', 'size', 'distribution', 'of', 'boxes', 'maximizes', 'the', 'information', 'associated', 'with', 'the', 'boxes', 'provided', 'configurations', 'including', 'boxes', 'containing', 'a', 'finite', 'fraction', 'of', 'the', 'total', 'amount', 'of', 'balls', 'are', 'excluded', 'it', 'is', 'conjectured', 'that', 'for', 'a', 'connected', 'network', 'with', 'only', 'links', 'between', 'different', 'nodes', 'the', 'nodes', 'with', 'a', 'finite', 'fraction', 'of', 'links', 'are', 'effectively', 'suppressed', 'it', 'is', 'hence', 'suggested', 'that', 'for', 'such', 'networks', 'the', 'scalefree', 'nodesize', 'distribution', 'maximizes', 'the', 'information', 'encoded', 'on', 'the', 'nodes', 'the', 'noise', 'associated', 'with', 'the', 'size', 'distributions', 'is', 'also', 'obtained', 'from', 'a', 'maximum', 'entropy', 'principle', 'finally', 'explicit', 'predictions', 'from', 'our', 'least', 'bias', 'approach', 'are', 'found', 'to', 'be', 'born', 'out', 'by', 'metabolic', 'networks']] | [-0.14107997976750467, 0.14224173916473745, -0.03913790837583703, 0.08088242519091093, -0.027890896910966766, -0.13958235852225054, 0.06658642300434651, 0.3511708127935567, -0.24465569597668946, -0.3096942531786138, 0.0740996933497128, -0.3548908031042365, -0.14158892087383015, 0.1458197916809079, -0.0461946873110719, 0.02433710466439445, 0.09696437115029942, 0.09767696395846864, 0.0045725924184455745, -0.2850291135114422, 0.33195346194664915, 0.04391619025339042, 0.2881827463335808, 0.03520755903539999, 0.11994848640320162, -0.04911892955281092, -0.04149384161592611, 0.12052986900708938, -0.10901007453450744, 0.11145688232875639, 0.2108329522626234, 0.12224360298170077, 0.2345037471104954, -0.3877256798948492, -0.24565342919630628, 0.18333564229279517, 0.12233355880110344, 0.09133057326318757, 0.015815020661853675, -0.27465733126061215, 0.14228271086504984, -0.1568208709584489, -0.08545393616546906, -0.02672019126945205, 0.03598581936450735, 0.07241493018884812, -0.30067858977934286, 0.0620401715951307, 0.03215246629195228, -0.01450939942151308, 0.010642346710101851, -0.1061294737230656, -0.09146077760247394, 0.16462738194968551, 0.0024119131877312376, 0.023375892330096255, 0.12495120600872342, -0.12126407619085043, -0.0911191224961752, 0.3472221799818198, 0.02467777432954585, -0.24150045807924, 0.15748547022268478, -0.11948547813095033, -0.09668833476626465, 0.15545093297823181, 0.1414899587961695, 0.09745760588350916, -0.14524561108180112, 0.023021195226089818, -0.0712334034295993, 0.1748397068661307, 0.06281455683206479, 0.04244291797024949, 0.23850770851206635, 0.15037213460046558, 0.07567267918643812, 0.17313218897400093, -0.08638579924421895, -0.14118364378209075, -0.2968647912324917, -0.10841397084896603, -0.276098521899492, 0.03811973162115582, -0.14621323092468363, -0.15140154076089535, 0.33002760561723865, 0.09632182343029266, 0.2631810714956373, 0.1173784340160989, 0.2634883251852326, 0.08547966533261651, 0.14112515316434926, 0.1370091476823173, 0.18390166214967688, 0.12047706318515984, 0.02579008682157784, -0.14891095026095788, 0.10865937953349203, 0.028182147615288776] |
712.235 | Orbital-polarization terms: from a phenomenological to a
first-principles description of orbital magnetism in density-functional
theory | Phenomenological orbital-polarization (OP) terms have been repeatedly
introduced in the single-particle equations of spin-density-functional theory,
in order to improve the description of orbital magnetic moments in systems
containing transition metal ions. Here we show that these ad hoc corrections
can be interpreted as approximations to the exchange-correlation vector
potential A_xc of current-density-functional theory (CDFT). This connection
provides additional information on both approaches: Phenomenological OP terms
are connected to first-principles theory, leading to a rationale for their
empirical success and a reassessment of their limitations and the
approximations made in their derivation. Conversely, the connection of OP terms
with CDFT leads to a set of simple approximations to the CDFT potential A_xc,
with a number of desirable features that are absent from electron-gas-based
functionals.
| cond-mat.mtrl-sci physics.chem-ph | phenomenological orbitalpolarization op terms have been repeatedly introduced in the singleparticle equations of spindensityfunctional theory in order to improve the description of orbital magnetic moments in systems containing transition metal ions here we show that these ad hoc corrections can be interpreted as approximations to the exchangecorrelation vector potential a_xc of currentdensityfunctional theory cdft this connection provides additional information on both approaches phenomenological op terms are connected to firstprinciples theory leading to a rationale for their empirical success and a reassessment of their limitations and the approximations made in their derivation conversely the connection of op terms with cdft leads to a set of simple approximations to the cdft potential a_xc with a number of desirable features that are absent from electrongasbased functionals | [['phenomenological', 'orbitalpolarization', 'op', 'terms', 'have', 'been', 'repeatedly', 'introduced', 'in', 'the', 'singleparticle', 'equations', 'of', 'spindensityfunctional', 'theory', 'in', 'order', 'to', 'improve', 'the', 'description', 'of', 'orbital', 'magnetic', 'moments', 'in', 'systems', 'containing', 'transition', 'metal', 'ions', 'here', 'we', 'show', 'that', 'these', 'ad', 'hoc', 'corrections', 'can', 'be', 'interpreted', 'as', 'approximations', 'to', 'the', 'exchangecorrelation', 'vector', 'potential', 'a_xc', 'of', 'currentdensityfunctional', 'theory', 'cdft', 'this', 'connection', 'provides', 'additional', 'information', 'on', 'both', 'approaches', 'phenomenological', 'op', 'terms', 'are', 'connected', 'to', 'firstprinciples', 'theory', 'leading', 'to', 'a', 'rationale', 'for', 'their', 'empirical', 'success', 'and', 'a', 'reassessment', 'of', 'their', 'limitations', 'and', 'the', 'approximations', 'made', 'in', 'their', 'derivation', 'conversely', 'the', 'connection', 'of', 'op', 'terms', 'with', 'cdft', 'leads', 'to', 'a', 'set', 'of', 'simple', 'approximations', 'to', 'the', 'cdft', 'potential', 'a_xc', 'with', 'a', 'number', 'of', 'desirable', 'features', 'that', 'are', 'absent', 'from', 'electrongasbased', 'functionals']] | [-0.11819230174614477, 0.05258324189002023, -0.08553984258010858, 0.08847898852467506, -0.0643558504916884, -0.09112001825593599, 0.0835306394166321, 0.3735218238899437, -0.22819488215017594, -0.32061798084809, 0.0030203153488828857, -0.3011997712290838, -0.16646681038052344, 0.14105556903313063, -0.030503644987533825, 0.05254718144776441, 0.004871082648697521, 0.039082407317429534, -0.1306147381385491, -0.21510307090904782, 0.2808715874415298, 0.056050038466057855, 0.23819504357764826, 0.09798483097409251, 0.047185344515884874, -0.02832053349736859, 0.005937508831755454, 0.046011969282784886, -0.12214110695090274, 0.17858529889940464, 0.26614278126821045, 0.06580145356730566, 0.2540010609390104, -0.49433334390906725, -0.24484214988075384, 0.042887596796489784, 0.1346622292390641, 0.12565459178353683, -0.027171294728270536, -0.2523577780768025, 0.07247510074223039, -0.22400694925674558, -0.1437319051122152, -0.19143571794627845, 0.011821406646905577, 0.06831112928187646, -0.2626148021795607, 0.05670143459422686, 0.020457626445641537, 0.05101796789799167, -0.08649570433698799, -0.1465246884050552, -0.022282704720743188, 0.07242074229817118, 0.07941501083423798, 0.050168026840322094, 0.08735900496703987, -0.12294723147950957, -0.12243129456994914, 0.3904301470748204, -0.049516650776676205, -0.21739517140178746, 0.17330809411819742, -0.08692409905767412, -0.11879502892290719, 0.10399132423267207, 0.14213782037068315, 0.08356354860618256, -0.1714668241525147, 0.12999324607682422, 0.03297616699549072, 0.09617726470367248, 0.037708457250210665, 0.08735197118068692, 0.18745824077338794, 0.12420508241820924, -0.0053076614692275014, 0.0479796721547169, -0.03518521569927512, -0.1423279867300122, -0.31223175967378275, -0.11842025984704745, -0.1698745029720188, 0.04278093167705884, -0.07961395901736427, -0.21580822056378512, 0.38073078869448723, 0.17085833161552788, 0.1656806624823195, 0.013838563104621879, 0.26556492501188916, 0.1687607183924557, 0.05144589808143425, 0.015248980723368395, 0.24129462511593694, 0.1925908637902222, 0.04958184948386703, -0.2123608494846604, 0.07630328356851863, 0.09588432799195167] |
712.2351 | Chaotic D-Term Inflation | A simple model for chaotic inflation in supergravity is proposed. The model
is N=1 supersymmetric massive U(1) gauge theory via the Stuckelberg superfield
and gives rise to D-term inflation with a quadratic term of inflaton in the
potential. The Fayet-Iliopoulos field plays a role of the inflaton.
| hep-th astro-ph gr-qc hep-ph | a simple model for chaotic inflation in supergravity is proposed the model is n1 supersymmetric massive u1 gauge theory via the stuckelberg superfield and gives rise to dterm inflation with a quadratic term of inflaton in the potential the fayetiliopoulos field plays a role of the inflaton | [['a', 'simple', 'model', 'for', 'chaotic', 'inflation', 'in', 'supergravity', 'is', 'proposed', 'the', 'model', 'is', 'n1', 'supersymmetric', 'massive', 'u1', 'gauge', 'theory', 'via', 'the', 'stuckelberg', 'superfield', 'and', 'gives', 'rise', 'to', 'dterm', 'inflation', 'with', 'a', 'quadratic', 'term', 'of', 'inflaton', 'in', 'the', 'potential', 'the', 'fayetiliopoulos', 'field', 'plays', 'a', 'role', 'of', 'the', 'inflaton']] | [-0.22459381084611757, 0.24748483551864295, -0.08555831876088013, 0.1371490960356165, -0.1409790972842181, -0.24114925253819278, -0.09077896272139425, 0.236581730745495, -0.12935619072077123, -0.26278773615473605, 0.016393666016928692, -0.21193204281177927, -0.25862573420113705, 0.07560697331667897, -0.08431290052434866, -0.007436196537728005, -0.04162083633561084, 0.08216929156333208, 0.027937185356116043, -0.3243161578999555, 0.2842935332136744, 0.02695478213594315, 0.16670201463188897, 0.015907073046695044, 0.14664348797436724, -0.05695051469027679, 0.0658637253329792, -0.13841143198945421, -0.06806731335026153, 0.10644806620288402, 0.11104257295819674, 0.05814158333901395, 0.19115970382823588, -0.4133366739099964, -0.2733908261350812, 0.1990628956836906, 0.1736441017227604, 0.17724964585393033, -0.07452733232144346, -0.24514570554837267, 0.030910658523777224, -0.2174900520909974, -0.12754008046381096, -0.10881543882746011, -0.024770805738529467, -0.23712271283519396, -0.41636183271382715, 0.1328758652460702, -0.0416564007309523, 0.03391073727385795, -0.06702321920385386, 0.012204622953852757, -0.13340405129054758, -0.05908630836873929, 0.24928457418238706, 0.14705307471585718, 0.16373102878160933, -0.26456292088520017, -0.08718391671340833, 0.41763422721402443, -0.19547873874135474, -0.19655689927055797, 0.03969477382587626, -0.040761641649024044, -0.16666432808926132, 0.0918811121100976, 0.0755805825774974, 0.08699476865536356, -0.14081028153366865, 0.3707726838332205, 0.03769875841928606, 0.10074452295939022, 0.03691518934879531, 0.041847903717388495, 0.36518535683763786, 0.16551634592023937, 0.062287837017991364, 0.14435398638089922, 0.054460359895800024, -0.2124286916978816, -0.5057778620022408, -0.11265821386366448, -0.09266086997702083, 0.08345597408503849, -0.20833060553543853, -0.19348961507227827, 0.5043379479543643, 0.10343912705541292, 0.16873506147493708, 0.05197875928926341, 0.20589848445292483, 0.13487942112570114, 0.10725519986466524, -0.05055916134981399, 0.2896541107763001, 0.19401521879704076, 0.13187724122024597, -0.29124076369198715, -0.20629020566318898, 0.18183160355274983] |
712.2352 | Robustly estimating the flow direction of information in complex
physical systems | We propose a new measure to estimate the direction of information flux in
multivariate time series from complex systems. This measure, based on the slope
of the phase spectrum (Phase Slope Index) has invariance properties that are
important for applications in real physical or biological systems: (a) it is
strictly insensitive to mixtures of arbitrary independent sources, (b) it gives
meaningful results even if the phase spectrum is not linear, and (c) it
properly weights contributions from different frequencies. Simulations of a
class of coupled multivariate random data show that for truly unidirectional
information flow without additional noise contamination our measure detects the
correct direction as good as the standard Granger causality. For random
mixtures of independent sources Granger Causality erroneously yields highly
significant results whereas our measure correctly becomes non-significant. An
application of our novel method to EEG data (88 subjects in eyes-closed
condition) reveals a strikingly clear front-to-back information flow in the
vast majority of subjects and thus contributes to a better understanding of
information processing in the brain.
| stat.ME stat.AP | we propose a new measure to estimate the direction of information flux in multivariate time series from complex systems this measure based on the slope of the phase spectrum phase slope index has invariance properties that are important for applications in real physical or biological systems a it is strictly insensitive to mixtures of arbitrary independent sources b it gives meaningful results even if the phase spectrum is not linear and c it properly weights contributions from different frequencies simulations of a class of coupled multivariate random data show that for truly unidirectional information flow without additional noise contamination our measure detects the correct direction as good as the standard granger causality for random mixtures of independent sources granger causality erroneously yields highly significant results whereas our measure correctly becomes nonsignificant an application of our novel method to eeg data 88 subjects in eyesclosed condition reveals a strikingly clear fronttoback information flow in the vast majority of subjects and thus contributes to a better understanding of information processing in the brain | [['we', 'propose', 'a', 'new', 'measure', 'to', 'estimate', 'the', 'direction', 'of', 'information', 'flux', 'in', 'multivariate', 'time', 'series', 'from', 'complex', 'systems', 'this', 'measure', 'based', 'on', 'the', 'slope', 'of', 'the', 'phase', 'spectrum', 'phase', 'slope', 'index', 'has', 'invariance', 'properties', 'that', 'are', 'important', 'for', 'applications', 'in', 'real', 'physical', 'or', 'biological', 'systems', 'a', 'it', 'is', 'strictly', 'insensitive', 'to', 'mixtures', 'of', 'arbitrary', 'independent', 'sources', 'b', 'it', 'gives', 'meaningful', 'results', 'even', 'if', 'the', 'phase', 'spectrum', 'is', 'not', 'linear', 'and', 'c', 'it', 'properly', 'weights', 'contributions', 'from', 'different', 'frequencies', 'simulations', 'of', 'a', 'class', 'of', 'coupled', 'multivariate', 'random', 'data', 'show', 'that', 'for', 'truly', 'unidirectional', 'information', 'flow', 'without', 'additional', 'noise', 'contamination', 'our', 'measure', 'detects', 'the', 'correct', 'direction', 'as', 'good', 'as', 'the', 'standard', 'granger', 'causality', 'for', 'random', 'mixtures', 'of', 'independent', 'sources', 'granger', 'causality', 'erroneously', 'yields', 'highly', 'significant', 'results', 'whereas', 'our', 'measure', 'correctly', 'becomes', 'nonsignificant', 'an', 'application', 'of', 'our', 'novel', 'method', 'to', 'eeg', 'data', '88', 'subjects', 'in', 'eyesclosed', 'condition', 'reveals', 'a', 'strikingly', 'clear', 'fronttoback', 'information', 'flow', 'in', 'the', 'vast', 'majority', 'of', 'subjects', 'and', 'thus', 'contributes', 'to', 'a', 'better', 'understanding', 'of', 'information', 'processing', 'in', 'the', 'brain']] | [-0.08775737126526689, 0.09582096585339787, -0.125966888827909, 0.07675994162608417, -0.0859251545132165, -0.1517361591363119, 0.056445502921154626, 0.37661900418423855, -0.24650453032271485, -0.29915318889706805, 0.07607035892566241, -0.2951018831975845, -0.16038751821421707, 0.19917114387669366, -0.09576445462301983, 0.04982862285507179, 0.06423101074617814, 0.03893077514292291, -0.03274167505942546, -0.18867132849364993, 0.28422020222959027, 0.05655482951388286, 0.3426371896966246, 0.022590291555644126, 0.09045942820869358, 0.019167538607024658, -0.07955329868757324, 0.01594474877514032, -0.0675961156625046, 0.08418388771742844, 0.2683528419747426, 0.1424484695177709, 0.2512311742842546, -0.37179567164343874, -0.2593206455740446, 0.12747698564256665, 0.10204320424644832, 0.0927260611533073, -0.0338280770045362, -0.2731626815004656, 0.07806544420472755, -0.095421921147295, -0.10066639922820685, -0.0981432684337753, 0.03996550160247767, -0.019431523260475293, -0.2826764987705395, 0.15040383184170733, 0.07410565617750263, 0.07654464888054202, -0.04432481585876548, -0.09589277624495719, -0.0019507234022892706, 0.1427020210471843, 0.0439224179411356, 0.040595437664190055, 0.13237296112905644, -0.11501210903046294, -0.09639395990855557, 0.36204604955923836, -0.05715129315602588, -0.2069472694410044, 0.20458668153542395, -0.1488379952048458, -0.16554322496889845, 0.15717883772973779, 0.18306164435323394, 0.07374713224326859, -0.16842363751493394, 0.0029586399081626045, -0.031290167329930944, 0.23000907228595158, 0.02042746646547614, 0.04430059268144749, 0.19810694182830813, 0.12686868810111232, 0.07471659023597924, 0.1271850381002963, -0.09513801378633674, -0.07064392716030363, -0.2853657534258843, -0.1492653391133362, -0.18099327280005026, 0.029514708638355293, -0.13668479492914407, -0.17063959556078942, 0.3881046052651796, 0.16621002071803948, 0.19255421512177465, 0.05125207245099353, 0.2949797269637691, 0.08245532485936927, 0.061177163833836694, 0.06175363659640851, 0.1994926124179398, 0.14575222735184282, 0.11027194191742558, -0.17318530232313345, 0.1054593916976966, -0.03952593034424694] |
712.2353 | Recent Belle results on CP violation | The Belle experiment's recent results on CP violation in B meson decays are
summarized.
| hep-ex | the belle experiments recent results on cp violation in b meson decays are summarized | [['the', 'belle', 'experiments', 'recent', 'results', 'on', 'cp', 'violation', 'in', 'b', 'meson', 'decays', 'are', 'summarized']] | [-0.09254043090290257, 0.30926959539231447, 0.027525221396769797, 0.08222255110740662, -0.1323825984394976, -0.20547532849013805, 0.13121920029932102, 0.2286843950194972, -0.09943815360644034, -0.11736819227891308, -0.05178498673818207, -0.4798662773266967, -0.0328469875135592, 0.17253073730639049, 0.09604047345263618, 0.2057891377647008, 0.23306074758459414, -0.06385572507445302, -0.09739290723311049, -0.27589249464550186, 0.1751103391205626, -0.038864561556173224, 0.24540067314436392, 0.21600922516414098, -0.2306779803974288, -0.11658872022027415, -0.1563183887462531, -0.003669655482683863, -0.13300367976937974, -0.03725306683086923, 0.17747485863843135, 0.3242335615879191, 0.01426152086683682, -0.3740082705792572, 0.014455913832145078, 0.12338254201625075, 0.12410774185056132, 0.03216567808496101, -0.16299905485772928, -0.6100689034376826, 0.11875014366315943, -0.125319059339485, 0.011461045459977217, -0.1900238217770363, 0.025778043815600022, -0.11098535199250494, -0.39967833512595724, 0.12129097340428936, -0.16716834234206804, 0.09373624915523189, 0.06149642106278667, -0.39564316014626194, 0.14995551056095532, -0.10522392215040911, 0.22617292869836092, 0.11399678882610585, 0.22930276141102826, -0.11346217404518809, -0.3218405623255031, 0.3786833030836923, -0.06839748312320028, -0.16027961475109415, 0.15508619483028138, -0.27901571350438253, -0.2291914494375565, 0.03294722709272589, 0.2233988103190703, -0.03065480318452631, -0.16275048522012575, 0.1899798243040485, -0.18096061669556157, 0.06263674073852599, 0.0735331856412813, 0.12134238598602158, 0.1509074249437877, 0.2586686358387981, -0.07608307824869241, -0.06134915024241699, -0.022814554079169675, -0.0750614053436688, -0.5571807734668255, -0.0904185360829745, -0.12373617344668933, 0.06328961213252374, 0.050716962931411605, 0.11672010139695235, 0.37045012707156794, -0.03578429975147758, 0.33233647367783953, -0.07123783150953907, 0.31146347862003104, -0.01607573384951268, 0.02035301094292663, 0.008563106746545859, 0.42439831473997663, 0.20369204612714903, 0.32640005704680725, -0.3780436332204512, 0.04170038485608529, 0.01650438318029046] |
712.2354 | Intrinsic optical bistability of thin films of linear molecular
aggregates: The two-exciton approximation | We generalize our recent work on the optical bistability of thin films of
molecular aggregates [J. Chem. Phys. 127, 164705 (2007); arXiv:0707.1264v1
[cond-mat.dis-nn]] by accounting for the optical transitions from the
one-exciton manifold to the two-exciton manifold as well as the exciton-exciton
annihilation of the two-exciton states via a high-lying molecular vibronic
term. We also include the relaxation from the vibronic level back to both the
one-exciton manifold and the ground state. By selecting the dominant optical
transitions between the ground state, the one-exciton manifold, and the
two-exciton manifold, we reduce the problem to four levels, enabling us to
describe the nonlinear optical response of the film. The one- and two-exciton
states are obtained by diagonalizing a Frenkel Hamiltonian with an uncorrelated
on-site (diagonal) disorder. The optical dynamics is described by means of the
density matrix equations coupled to the electromagnetic field in the film. We
show that the one-to-two exciton transitions followed by a fast exciton-exciton
annihilation promote the occurrence of bistability and reduce the switching
intensity. We provide estimates of pertinent parameters for actual materials
and conclude that the effect can be realized.
| cond-mat.dis-nn cond-mat.mtrl-sci | we generalize our recent work on the optical bistability of thin films of molecular aggregates j chem phys 127 164705 2007 arxiv07071264v1 condmatdisnn by accounting for the optical transitions from the oneexciton manifold to the twoexciton manifold as well as the excitonexciton annihilation of the twoexciton states via a highlying molecular vibronic term we also include the relaxation from the vibronic level back to both the oneexciton manifold and the ground state by selecting the dominant optical transitions between the ground state the oneexciton manifold and the twoexciton manifold we reduce the problem to four levels enabling us to describe the nonlinear optical response of the film the one and twoexciton states are obtained by diagonalizing a frenkel hamiltonian with an uncorrelated onsite diagonal disorder the optical dynamics is described by means of the density matrix equations coupled to the electromagnetic field in the film we show that the onetotwo exciton transitions followed by a fast excitonexciton annihilation promote the occurrence of bistability and reduce the switching intensity we provide estimates of pertinent parameters for actual materials and conclude that the effect can be realized | [['we', 'generalize', 'our', 'recent', 'work', 'on', 'the', 'optical', 'bistability', 'of', 'thin', 'films', 'of', 'molecular', 'aggregates', 'j', 'chem', 'phys', '127', '164705', '2007', 'arxiv07071264v1', 'condmatdisnn', 'by', 'accounting', 'for', 'the', 'optical', 'transitions', 'from', 'the', 'oneexciton', 'manifold', 'to', 'the', 'twoexciton', 'manifold', 'as', 'well', 'as', 'the', 'excitonexciton', 'annihilation', 'of', 'the', 'twoexciton', 'states', 'via', 'a', 'highlying', 'molecular', 'vibronic', 'term', 'we', 'also', 'include', 'the', 'relaxation', 'from', 'the', 'vibronic', 'level', 'back', 'to', 'both', 'the', 'oneexciton', 'manifold', 'and', 'the', 'ground', 'state', 'by', 'selecting', 'the', 'dominant', 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712.2355 | Top pair invariant mass distribution: a window on new physics | We explore in detail the physics potential of a measurement of the ttbar
invariant mass distribution. First, we assess the accuracy of the best
available predictions for this observable and find that in the low invariant
mass region, the shape is very well predicted and could be used to perform a
top mass measurement. Second, we study the effects of a heavy s-channel
resonance on the ttbar invariant mass distribution, in a model independent way.
We provide the necessary Monte Carlo tools to perform the search and outline a
simple three-step analysis.
| hep-ph | we explore in detail the physics potential of a measurement of the ttbar invariant mass distribution first we assess the accuracy of the best available predictions for this observable and find that in the low invariant mass region the shape is very well predicted and could be used to perform a top mass measurement second we study the effects of a heavy schannel resonance on the ttbar invariant mass distribution in a model independent way we provide the necessary monte carlo tools to perform the search and outline a simple threestep analysis | [['we', 'explore', 'in', 'detail', 'the', 'physics', 'potential', 'of', 'a', 'measurement', 'of', 'the', 'ttbar', 'invariant', 'mass', 'distribution', 'first', 'we', 'assess', 'the', 'accuracy', 'of', 'the', 'best', 'available', 'predictions', 'for', 'this', 'observable', 'and', 'find', 'that', 'in', 'the', 'low', 'invariant', 'mass', 'region', 'the', 'shape', 'is', 'very', 'well', 'predicted', 'and', 'could', 'be', 'used', 'to', 'perform', 'a', 'top', 'mass', 'measurement', 'second', 'we', 'study', 'the', 'effects', 'of', 'a', 'heavy', 'schannel', 'resonance', 'on', 'the', 'ttbar', 'invariant', 'mass', 'distribution', 'in', 'a', 'model', 'independent', 'way', 'we', 'provide', 'the', 'necessary', 'monte', 'carlo', 'tools', 'to', 'perform', 'the', 'search', 'and', 'outline', 'a', 'simple', 'threestep', 'analysis']] | [-0.0668026348778411, 0.11190014318360583, -0.12227746656002558, 0.1801288576553697, -0.05204006071131596, -0.09628324546223588, 0.06203812773531789, 0.35781199718906503, -0.21210991076963104, -0.3546520926301246, 0.05209882366698761, -0.24285577449178242, -0.07007160119246691, 0.15165618095931638, 0.01412651649108106, 0.10974209356810087, 0.09465265508776571, 0.03105770534128406, -0.10540393680465691, -0.18236389326478314, 0.287244559594673, 0.10127622806264655, 0.2408498495047831, 0.07912224125744693, 0.07095178517351008, 0.024020511606384232, -0.08232852628292597, -0.04312662140506765, -0.18263911813506717, 0.08545053010912733, 0.20007466202925728, 0.09599529111904342, 0.18845233007374665, -0.31619394442026055, -0.13264566236782982, 0.1109401495449002, 0.1501112525128638, 0.1270571724795129, -0.12456500835580063, -0.26537675540084427, 0.0743025817665393, -0.2099037516011816, -0.15259937974421875, -0.10662294972343775, -0.04593922915544523, -0.05086130345412328, -0.31810193194035924, 0.09098684845957905, -0.010509740453689237, 0.03529548068004458, 0.002047919607518808, -0.11714521485745259, -0.021128938465034993, 0.11111274305427365, 0.03793021688824925, 0.03229977179106082, 0.18797353343309267, -0.12370806332151203, -0.1371811638717823, 0.3909883600376222, -0.1143507880523153, -0.21214069170199093, 0.17745126717035536, -0.18625472063380902, -0.177788918848028, 0.08288942645911289, 0.24446209649676862, 0.14005776095892425, -0.21587325992447365, 0.07072550597007174, -0.024833617792667254, 0.1713644583992984, -0.02153851729615227, 0.007072814751629029, 0.2292788458643886, 0.23065998622864162, 0.011905251769348979, 0.1232721881786584, -0.1538201224251205, -0.08405699461455578, -0.3502890654110714, -0.1639430856372675, -0.13492773552222745, 0.027466657142529428, -0.03450152578554243, -0.13908373852989273, 0.4290135845886138, 0.20353879283546752, 0.28138889393607236, 0.028388905966573435, 0.327320736230594, 0.10740230670806182, 0.06533694009134627, 0.041643861352223095, 0.28646816522814333, 0.14175763310176198, 0.07115269198497433, -0.2225257620223641, 0.06493682008453028, 0.014095888690739546] |
712.2356 | ILC Reference Design Report Volume 4 - Detectors | This report, Volume IV of the International Linear Collider Reference Design
Report, describes the detectors which will record and measure the charged and
neutral particles produced in the ILC's high energy e+e- collisions. The
physics of the ILC, and the environment of the machine-detector interface, pose
new challenges for detector design. Several conceptual designs for the detector
promise the needed performance, and ongoing detector R&D is addressing the
outstanding technological issues. Two such detectors, operating in push-pull
mode, perfectly instrument the ILC interaction region, and access the full
potential of ILC physics.
| physics.ins-det | this report volume iv of the international linear collider reference design report describes the detectors which will record and measure the charged and neutral particles produced in the ilcs high energy ee collisions the physics of the ilc and the environment of the machinedetector interface pose new challenges for detector design several conceptual designs for the detector promise the needed performance and ongoing detector rd is addressing the outstanding technological issues two such detectors operating in pushpull mode perfectly instrument the ilc interaction region and access the full potential of ilc physics | [['this', 'report', 'volume', 'iv', 'of', 'the', 'international', 'linear', 'collider', 'reference', 'design', 'report', 'describes', 'the', 'detectors', 'which', 'will', 'record', 'and', 'measure', 'the', 'charged', 'and', 'neutral', 'particles', 'produced', 'in', 'the', 'ilcs', 'high', 'energy', 'ee', 'collisions', 'the', 'physics', 'of', 'the', 'ilc', 'and', 'the', 'environment', 'of', 'the', 'machinedetector', 'interface', 'pose', 'new', 'challenges', 'for', 'detector', 'design', 'several', 'conceptual', 'designs', 'for', 'the', 'detector', 'promise', 'the', 'needed', 'performance', 'and', 'ongoing', 'detector', 'rd', 'is', 'addressing', 'the', 'outstanding', 'technological', 'issues', 'two', 'such', 'detectors', 'operating', 'in', 'pushpull', 'mode', 'perfectly', 'instrument', 'the', 'ilc', 'interaction', 'region', 'and', 'access', 'the', 'full', 'potential', 'of', 'ilc', 'physics']] | [-0.12446026625769699, 0.1118659260429685, -0.02785840806166601, 0.03399072130939559, -0.03781459979591486, -0.1945593760136272, -0.03989515306792506, 0.32990650346745615, -0.23493698612741276, -0.32322441231783317, 0.0940864349679981, -0.3453233762360785, -0.0554837651004124, 0.17867025900277836, 0.0182646473527395, 0.14376681098592994, 0.11695864365395645, -0.056949117246245885, -0.040812188220392585, -0.19456632915914626, 0.21229128810354386, 0.2230425170197597, 0.3315322245369949, 0.11203599600728763, 0.15329986132818033, 0.014049090371649389, -0.05511694398971841, -0.03476849038902994, -0.08788787626215945, 0.10343844673258465, 0.3403688987379175, 0.16158964838225232, 0.2453814890873416, -0.4115592616650721, -0.119642724627224, 0.08691366535166035, 0.059888372734270015, 0.04193060017955166, -0.14931451265052284, -0.3039020440419731, -0.005548743323584938, -0.20101101581088227, -0.15201726536590443, 0.019888355915811742, -0.033070581681702446, 0.02936748644139658, -0.23807737988460323, -0.043640242722492825, 0.006061434769198177, 0.03874925880708084, -0.02511945197044912, -0.16156189871506524, 0.050844897273118084, 0.07171016753367755, -0.02795825032365468, -0.007713779771660009, 0.20689847098622957, -0.18883241483379845, -0.1589905831218778, 0.3668389193835142, -0.015379172515721344, -0.1423793567708977, 0.23660302369693376, -0.23350681051986455, -0.08021437423019012, 0.109571963649891, 0.2815686615953303, 0.010282835123412635, -0.2185350250789349, 0.12353751157175082, 0.08496185795039586, 0.1591947660325905, 0.03059891993989763, 0.09184596493698495, 0.26361345552647003, 0.3050069011464391, 0.0840164288048349, 0.11989306909748373, -0.14937252739606344, -0.02753651249424919, -0.39535729412202036, -0.16922782341261272, -0.08790460592433152, -0.031600031765106985, 0.0006639586248164288, -0.10024345025379697, 0.418010211008115, 0.17294298922238144, 0.13992611144709846, -0.05796605097155249, 0.3417810606972679, -0.014900728768818384, 0.06327936714091187, -0.004759797863896339, 0.33862273006335547, 0.0377774391596651, 0.17814684146002907, -0.24503049574812633, 0.041764189150062914, -0.012143341895273847] |
712.2357 | At the Bottom of the Main Sequence: Activity and magnetic fields beyond
the threshold to complete convection | The bottom of the main sequence hosts objects with fundamentally different
properties. At masses of about 0.3 M$_{\odot}$, stars become fully convective
and at about 0.08 M$_{\odot}$ the hydrogen-burning main sequence ends; less
massive objects are brown dwarfs. While stars and brown dwarfs experience very
different evolutions, their inner structure has relatively little impact on the
atmospheres. The generation of magnetic fields and activity is obviously
connected to the threshold between partial and complete convection, because
dynamo mechanisms involving a layer of shear like the solar
$\alpha\Omega$-dynamo must cease. Hence a change in stellar activity can be
expected there. Observations of stellar activity do not confirm a rapid break
in activity at the convection boundary, but the fraction of active stars and
rapid rotators is higher on the fully convective side. I summarize the current
picture of stellar activity and magnetic field measurements at the bottom of
the main sequence and present recent results on rotational braking beyond.
| astro-ph | the bottom of the main sequence hosts objects with fundamentally different properties at masses of about 03 m_odot stars become fully convective and at about 008 m_odot the hydrogenburning main sequence ends less massive objects are brown dwarfs while stars and brown dwarfs experience very different evolutions their inner structure has relatively little impact on the atmospheres the generation of magnetic fields and activity is obviously connected to the threshold between partial and complete convection because dynamo mechanisms involving a layer of shear like the solar alphaomegadynamo must cease hence a change in stellar activity can be expected there observations of stellar activity do not confirm a rapid break in activity at the convection boundary but the fraction of active stars and rapid rotators is higher on the fully convective side i summarize the current picture of stellar activity and magnetic field measurements at the bottom of the main sequence and present recent results on rotational braking beyond | [['the', 'bottom', 'of', 'the', 'main', 'sequence', 'hosts', 'objects', 'with', 'fundamentally', 'different', 'properties', 'at', 'masses', 'of', 'about', '03', 'm_odot', 'stars', 'become', 'fully', 'convective', 'and', 'at', 'about', '008', 'm_odot', 'the', 'hydrogenburning', 'main', 'sequence', 'ends', 'less', 'massive', 'objects', 'are', 'brown', 'dwarfs', 'while', 'stars', 'and', 'brown', 'dwarfs', 'experience', 'very', 'different', 'evolutions', 'their', 'inner', 'structure', 'has', 'relatively', 'little', 'impact', 'on', 'the', 'atmospheres', 'the', 'generation', 'of', 'magnetic', 'fields', 'and', 'activity', 'is', 'obviously', 'connected', 'to', 'the', 'threshold', 'between', 'partial', 'and', 'complete', 'convection', 'because', 'dynamo', 'mechanisms', 'involving', 'a', 'layer', 'of', 'shear', 'like', 'the', 'solar', 'alphaomegadynamo', 'must', 'cease', 'hence', 'a', 'change', 'in', 'stellar', 'activity', 'can', 'be', 'expected', 'there', 'observations', 'of', 'stellar', 'activity', 'do', 'not', 'confirm', 'a', 'rapid', 'break', 'in', 'activity', 'at', 'the', 'convection', 'boundary', 'but', 'the', 'fraction', 'of', 'active', 'stars', 'and', 'rapid', 'rotators', 'is', 'higher', 'on', 'the', 'fully', 'convective', 'side', 'i', 'summarize', 'the', 'current', 'picture', 'of', 'stellar', 'activity', 'and', 'magnetic', 'field', 'measurements', 'at', 'the', 'bottom', 'of', 'the', 'main', 'sequence', 'and', 'present', 'recent', 'results', 'on', 'rotational', 'braking', 'beyond']] | [-0.10699610847130983, 0.23227747912884136, -0.024502771558782346, 0.11130761454925177, -0.10683897040972981, -0.0431028132155962, 0.08368585143706915, 0.37718817842181157, -0.1747998485601024, -0.377939144326256, 0.09560409977021214, -0.26385484583958796, -0.04719785513957562, 0.19393730123860384, -0.09548217668256993, -0.05040172389428473, 0.11043880788883477, 0.006168921817023354, -0.02919754478859397, -0.21999946799972153, 0.3352439632002689, 0.020569371581195466, 0.15865291200601792, 0.006495664228502472, 0.01931127525064387, -0.14594782721192304, -0.048588687330012835, -0.05135829443159171, -0.13381859279367364, 0.012372035683498164, 0.19900085779402074, 0.0762083878434157, 0.24231637665512676, -0.4440497392493807, -0.22282537191375335, 0.01868160004066996, 0.18203652805436543, 0.052949631915286274, -0.07965784780371675, -0.20401258908707318, 0.1325460993124856, -0.15798808868953818, -0.12440087227887604, 0.0315329596058383, 0.062329256145248216, 0.015510844343409673, -0.23329306700262478, 0.09952651175391813, 0.10267861121808639, 0.1381958913075726, -0.11200840249392381, -0.12790906097433424, -0.1172980827226339, 0.15344385295381321, 0.06705374607803076, 0.07013976218398436, 0.17666501167511767, -0.16292798025769334, -0.0046194445524553335, 0.3746676415977174, -0.0753411035159532, -0.05280930044341691, 0.28957056458096336, -0.25119928884190285, -0.14401238944817665, 0.13013174563728838, 0.17781409970705717, 0.15051438925011212, -0.1301941651106028, -0.03939305790781067, 0.035089123868118216, 0.1867236145661519, 0.02840819068310511, 0.044936956324956465, 0.3778996793700594, 0.17643357653803005, 0.043691843372321675, 0.014747634474807007, -0.15193054253232513, -0.07682239297848148, -0.22074599933067832, -0.08392730844207108, -0.09634421220917956, 0.07208674406874822, -0.10491958011376092, -0.14916837230749144, 0.37321331492872745, 0.10261780640723396, 0.19264584306931076, 0.05104623883491075, 0.3159899744735677, 0.08046666595678116, 0.13083558851894275, 0.14138977902740996, 0.3154095986421821, 0.2373456899960867, 0.1471740408790227, -0.24601546446520164, 0.09747094530214355, 0.02754895538283229] |
712.2358 | Using Physics to Learn Mathematica to Do Physics: From Homework Problems
to Research Examples | We describe the development of a junior-senior level course for Physics
majors designed to teach Mathematica skills in support of their undergraduate
coursework, but also to introduce students to modern research level results.
Standard introductory and intermediate level Physics homework-style problems
are used to teach Mathematica commands and programming methods, which are then
applied, in turn, to more sophisticated problems in some of the core
undergraduate subjects, along with making contact with recent research papers
in a variety of fields.
| physics.ed-ph physics.comp-ph | we describe the development of a juniorsenior level course for physics majors designed to teach mathematica skills in support of their undergraduate coursework but also to introduce students to modern research level results standard introductory and intermediate level physics homeworkstyle problems are used to teach mathematica commands and programming methods which are then applied in turn to more sophisticated problems in some of the core undergraduate subjects along with making contact with recent research papers in a variety of fields | [['we', 'describe', 'the', 'development', 'of', 'a', 'juniorsenior', 'level', 'course', 'for', 'physics', 'majors', 'designed', 'to', 'teach', 'mathematica', 'skills', 'in', 'support', 'of', 'their', 'undergraduate', 'coursework', 'but', 'also', 'to', 'introduce', 'students', 'to', 'modern', 'research', 'level', 'results', 'standard', 'introductory', 'and', 'intermediate', 'level', 'physics', 'homeworkstyle', 'problems', 'are', 'used', 'to', 'teach', 'mathematica', 'commands', 'and', 'programming', 'methods', 'which', 'are', 'then', 'applied', 'in', 'turn', 'to', 'more', 'sophisticated', 'problems', 'in', 'some', 'of', 'the', 'core', 'undergraduate', 'subjects', 'along', 'with', 'making', 'contact', 'with', 'recent', 'research', 'papers', 'in', 'a', 'variety', 'of', 'fields']] | [0.020022136514381613, 0.08389242855784824, -0.12279387587044813, 0.09710723782972067, -0.21561560881194436, -0.20301218497083534, 0.0096854271508659, 0.3790149677874921, -0.24423508916147454, -0.4215017901261962, 0.07453507561047998, -0.24143699374156002, -0.15605615351431637, 0.26637748480314694, -0.1002981781582289, 0.03320484478144518, 0.11057968408494151, 0.028220651936540497, -0.07651736263975595, -0.34540715602320865, 0.2532267587000056, 0.07749265715291229, 0.22702435432355614, 0.04366525672847712, 0.0637765036099384, -0.021614339249798015, -0.03682115050386402, -0.022097289467914196, -0.08721071508819167, 0.20682700398036197, 0.49556853440649146, 0.2054911790816467, 0.41102007543078706, -0.4686467798450325, -0.11881468379339558, -0.026367134897957875, 0.07833581303446731, 0.1127242892523756, -0.03707741267328545, -0.2919979523985258, 0.04943404080864938, -0.1629993575566177, -0.11114736085557202, -0.08740221483845122, -0.00191672614339409, -0.0078507512925735, -0.1799764985784511, -0.04509007114116869, 0.02754934567846122, 0.19238282178964797, 0.008386034256177424, -0.18013814024485741, 0.06665987276201006, 0.16201841285381513, 0.054312647025607806, 0.04172164968567122, 0.18492538505528547, -0.2044122951883304, -0.1938828966415287, 0.41252638255776486, 0.031211973981389515, -0.17918066233632307, 0.26521557835785414, -0.1090684685726426, -0.1898834303233631, 0.053546796552836895, 0.2904327565898435, 0.06264467117718503, -0.15856060138432002, 0.07539717551126275, 0.07565568747659084, 0.1721919830416954, 0.03110803984093798, -0.07894076783021417, 0.22788508188073772, 0.1423224786508687, -0.01381109439092983, 0.06838688759805187, 0.04211671546962159, -0.10404263343662024, -0.2975101388542901, -0.19017961854704574, -0.06497625119783738, -0.02194562880911782, 0.09366532016281758, -0.14638085789459793, 0.39821683714472794, 0.2072368996524358, 0.0683243540174599, 0.019859248620481527, 0.23654473347801575, 0.061961614429549894, 0.08627864355634002, 0.08438006568039898, 0.15879867663437536, 0.11716610655377183, 0.19991378994257766, -0.08184660962323033, 0.00867822575471305, 0.004503806652147559] |
712.2359 | Decoupling of kinematical time dilation and gravitational time dilation
in particular geometries | Two different forms of time dilation, namely, the kinematical time dilation
of special relativity and gravitational red shift are coupled during
observations of systems moving through a gravitational field. In the particular
situation of free fall in a Schwarzschild geometry these two effects are
decoupled and in consequence the time dilation, as observed by a distant
observer, factorises. Such a factorization is not a universal feature. We
define here a necessary and sufficient criterion for time dilation and
gravitational red-shift decoupling. This property is manifested in a particular
form of the Doppler shift in Schwarzschild geometry.
| gr-qc | two different forms of time dilation namely the kinematical time dilation of special relativity and gravitational red shift are coupled during observations of systems moving through a gravitational field in the particular situation of free fall in a schwarzschild geometry these two effects are decoupled and in consequence the time dilation as observed by a distant observer factorises such a factorization is not a universal feature we define here a necessary and sufficient criterion for time dilation and gravitational redshift decoupling this property is manifested in a particular form of the doppler shift in schwarzschild geometry | [['two', 'different', 'forms', 'of', 'time', 'dilation', 'namely', 'the', 'kinematical', 'time', 'dilation', 'of', 'special', 'relativity', 'and', 'gravitational', 'red', 'shift', 'are', 'coupled', 'during', 'observations', 'of', 'systems', 'moving', 'through', 'a', 'gravitational', 'field', 'in', 'the', 'particular', 'situation', 'of', 'free', 'fall', 'in', 'a', 'schwarzschild', 'geometry', 'these', 'two', 'effects', 'are', 'decoupled', 'and', 'in', 'consequence', 'the', 'time', 'dilation', 'as', 'observed', 'by', 'a', 'distant', 'observer', 'factorises', 'such', 'a', 'factorization', 'is', 'not', 'a', 'universal', 'feature', 'we', 'define', 'here', 'a', 'necessary', 'and', 'sufficient', 'criterion', 'for', 'time', 'dilation', 'and', 'gravitational', 'redshift', 'decoupling', 'this', 'property', 'is', 'manifested', 'in', 'a', 'particular', 'form', 'of', 'the', 'doppler', 'shift', 'in', 'schwarzschild', 'geometry']] | [-0.16985859696675712, 0.1822763356710008, -0.12087873754110963, 0.08210327192379434, -0.08684270980302244, -0.12444262995753282, -0.03687532105110828, 0.37444408284985303, -0.2512259545813625, -0.246960318996571, 0.09420548741885189, -0.20766239451525811, -0.1354587273672223, 0.19052962593074577, -0.05068082960012058, 0.03561103132475788, 0.02593012945544615, 0.061777094553690404, -0.11683422776074319, -0.1677375159536799, 0.3655991334623347, 0.04515021936094854, 0.19772623426251812, -0.012825142029517641, 0.1074989742433748, 0.013217883659914756, -0.054613634276999314, 0.06947541955742054, -0.09732164481344323, -0.01123705570838259, 0.22398818482179195, 0.14462046472666165, 0.2793529345387166, -0.3883431861468125, -0.20628487310993174, 0.10138640333510314, 0.12663384182572676, 0.14536599880860498, -0.08285676941159181, -0.2935705842683092, -0.023879818627998855, -0.15574470395222306, -0.12316495488630608, -0.0011000081285601482, 0.07035690961856744, -0.02869484980571239, -0.22600712584971916, 0.11588519328506663, 0.10797030821656033, 0.04567449269234203, -0.0883311275295758, 0.011263855443151746, 0.011549489215515981, 0.12066103717370424, 0.055346877818616726, 0.024601359764346853, 0.13266697287811743, -0.06768167568225181, -0.07982492870481413, 0.4348983316934512, -0.09454821408144198, -0.17825742407391468, 0.17020289130838742, -0.19999593712176042, -0.13364296058231653, 0.09922040958796667, 0.17651450027430352, 0.14175079714429253, -0.1401075784766969, 0.08934705965172422, -0.0011951846342223387, 0.12355429410429981, 0.14479087614260303, 0.09123359379979472, 0.23651870904723182, 0.09298262228548992, 0.05536992098010766, 0.11763524730728629, -0.07904144160177869, -0.07718572099111043, -0.3859225157551312, -0.16357965249820458, -0.14015351177658886, 0.0669363231453038, -0.13696149334949345, -0.1545473675990555, 0.3651557964985841, 0.08300962101202458, 0.21231723828289736, 0.04632147278850122, 0.2850743462792404, 0.11229537160579639, 0.0845003979629837, 0.038316242629662156, 0.2992077890424601, 0.14597749628349752, 0.09382344026137919, -0.20941448017644385, -0.0020680296244487786, 0.09503274044739858] |
712.236 | CPsuperH2.0: an Improved Computational Tool for Higgs Phenomenology in
the MSSM with Explicit CP Violation | We describe the Fortran code CPsuperH2.}, which contains several improvements
and extensions of its predecessor CPsuperH. It implements improved calculations
of the Higgs-boson pole masses, notably a full treatment of the 4 times 4
neutral Higgs propagator matrix including the Goldstone boson and a more
complete treatment of threshold effects in self-energies and Yukawa couplings,
improved treatments of two-body Higgs decays, some important three-body decays,
and two-loop Higgs-mediated contributions to electric dipole moments.
CPsuperH2.0 also implements an integrated treatment of several B-meson
observables, including the branching ratios of B_s to mu^+ mu^-, B_d to tau^+
tau^-, B_u to tau nu, B to X_s gamma and the latter's CP-violating asymmetry
A_CP, and the supersymmetric contributions to the B^0_{s,d} - \bar B^0_{s,d}
mass differences. These additions make CPsuperH2.0 an attractive integrated
tool for analyzing supersymmetric CP and flavour physics as well as searches
for new physics at high-energy colliders such as the Tevatron, LHC and linear
colliders. The program may be obtained from
http://www.hep.man.ac.uk/u/jslee/CPsuperH.html
| hep-ph | we describe the fortran code cpsuperh2 which contains several improvements and extensions of its predecessor cpsuperh it implements improved calculations of the higgsboson pole masses notably a full treatment of the 4 times 4 neutral higgs propagator matrix including the goldstone boson and a more complete treatment of threshold effects in selfenergies and yukawa couplings improved treatments of twobody higgs decays some important threebody decays and twoloop higgsmediated contributions to electric dipole moments cpsuperh20 also implements an integrated treatment of several bmeson observables including the branching ratios of b_s to mu mu b_d to tau tau b_u to tau nu b to x_s gamma and the latters cpviolating asymmetry a_cp and the supersymmetric contributions to the b0_sd bar b0_sd mass differences these additions make cpsuperh20 an attractive integrated tool for analyzing supersymmetric cp and flavour physics as well as searches for new physics at highenergy colliders such as the tevatron lhc and linear colliders the program may be obtained from httpwwwhepmanacukujsleecpsuperhhtml | [['we', 'describe', 'the', 'fortran', 'code', 'cpsuperh2', 'which', 'contains', 'several', 'improvements', 'and', 'extensions', 'of', 'its', 'predecessor', 'cpsuperh', 'it', 'implements', 'improved', 'calculations', 'of', 'the', 'higgsboson', 'pole', 'masses', 'notably', 'a', 'full', 'treatment', 'of', 'the', '4', 'times', '4', 'neutral', 'higgs', 'propagator', 'matrix', 'including', 'the', 'goldstone', 'boson', 'and', 'a', 'more', 'complete', 'treatment', 'of', 'threshold', 'effects', 'in', 'selfenergies', 'and', 'yukawa', 'couplings', 'improved', 'treatments', 'of', 'twobody', 'higgs', 'decays', 'some', 'important', 'threebody', 'decays', 'and', 'twoloop', 'higgsmediated', 'contributions', 'to', 'electric', 'dipole', 'moments', 'cpsuperh20', 'also', 'implements', 'an', 'integrated', 'treatment', 'of', 'several', 'bmeson', 'observables', 'including', 'the', 'branching', 'ratios', 'of', 'b_s', 'to', 'mu', 'mu', 'b_d', 'to', 'tau', 'tau', 'b_u', 'to', 'tau', 'nu', 'b', 'to', 'x_s', 'gamma', 'and', 'the', 'latters', 'cpviolating', 'asymmetry', 'a_cp', 'and', 'the', 'supersymmetric', 'contributions', 'to', 'the', 'b0_sd', 'bar', 'b0_sd', 'mass', 'differences', 'these', 'additions', 'make', 'cpsuperh20', 'an', 'attractive', 'integrated', 'tool', 'for', 'analyzing', 'supersymmetric', 'cp', 'and', 'flavour', 'physics', 'as', 'well', 'as', 'searches', 'for', 'new', 'physics', 'at', 'highenergy', 'colliders', 'such', 'as', 'the', 'tevatron', 'lhc', 'and', 'linear', 'colliders', 'the', 'program', 'may', 'be', 'obtained', 'from', 'httpwwwhepmanacukujsleecpsuperhhtml']] | [-0.060272753695129196, 0.21299556486254786, -0.047020832259396586, 0.1766688584856972, -0.08329512287355677, -0.19256936881066405, 0.04923556604322423, 0.2837112253956214, -0.20324773870738624, -0.2478181609730649, 0.003963881472119755, -0.3268222885642531, -0.00892230683253913, 0.15756661153864115, 0.1074415210463531, 0.12343887616902342, 0.08388268218458264, -0.042887328860137755, -0.07873851404218829, -0.2116162815025147, 0.18972437164769804, 0.03023710843511633, 0.10755038212489666, 0.14591361440075679, -0.020072800927365176, 0.03573119532187245, -0.08484529038667207, -0.08479238107883005, -0.14996879699616397, 0.034364496093962485, 0.21487193564255133, 0.1257549918085761, 0.07940874245795834, -0.31049222971277335, -0.03937607271526056, 0.15492173904977455, 0.1656410676763169, 0.08092863880071341, -0.023466569965847478, -0.3414748222567141, 0.05751464733061133, -0.2249475654569761, -0.10335344422050115, -0.11735163984563839, 0.04055311184161331, -0.1284330727980484, -0.4027892060495347, 0.05810297279500055, -0.05920961994274013, 0.02527180891752035, 0.051591905634820794, -0.3076911019603427, -0.04737304053357743, 0.04827646428683796, 0.16186676987835877, 0.07178789923848773, 0.20972608069616078, -0.18265575610850554, -0.20144139692818014, 0.43467262130277823, -0.08921080486719273, -0.17833244094707637, 0.167112768374242, -0.19267268575686677, -0.18289625186243247, 0.14957879680426955, 0.23970916869024497, 0.03916874468434142, -0.2091961162211963, 0.21006687387199247, 0.033065687355149205, 0.108921840168017, 0.06571905463315028, 0.09148538020981735, 0.21163043575423998, 0.16533793155450222, 0.008209368632516907, 0.01879612980572554, -0.05849293245686383, -0.05117979801931902, -0.45339670961227596, -0.1298209181809916, -0.007621268074240394, 0.0735831227915397, -0.05557454346909035, -0.11890344246278835, 0.40370243612700435, 0.09729378020075516, 0.21690590657246642, 0.03467586918518867, 0.31569066610706004, 0.07496786091765507, 0.09461829934712747, 0.019840347676396464, 0.26993771092697266, 0.2023187256860252, 0.11326683365483474, -0.302904086050436, -0.02291035149364343, 0.0712083973243974] |
712.2361 | ILC Reference Design Report Volume 3 - Accelerator | The International Linear Collider (ILC) is a 200-500 GeV center-of-mass
high-luminosity linear electron-positron collider, based on 1.3 GHz
superconducting radio-frequency (SCRF) accelerating cavities. The ILC has a
total footprint of about 31 km and is designed for a peak luminosity of 2x10^34
cm^-2 s^-1. The complex includes a polarized electron source, an
undulator-based positron source, two 6.7 km circumference damping rings,
two-stage bunch compressors, two 11 km long main linacs and a 4.5 km long beam
delivery system. This report is Volume III (Accelerator) of the four volume
Reference Design Report, which describes the design and cost of the ILC.
| physics.acc-ph | the international linear collider ilc is a 200500 gev centerofmass highluminosity linear electronpositron collider based on 13 ghz superconducting radiofrequency scrf accelerating cavities the ilc has a total footprint of about 31 km and is designed for a peak luminosity of 2x1034 cm2 s1 the complex includes a polarized electron source an undulatorbased positron source two 67 km circumference damping rings twostage bunch compressors two 11 km long main linacs and a 45 km long beam delivery system this report is volume iii accelerator of the four volume reference design report which describes the design and cost of the ilc | [['the', 'international', 'linear', 'collider', 'ilc', 'is', 'a', '200500', 'gev', 'centerofmass', 'highluminosity', 'linear', 'electronpositron', 'collider', 'based', 'on', '13', 'ghz', 'superconducting', 'radiofrequency', 'scrf', 'accelerating', 'cavities', 'the', 'ilc', 'has', 'a', 'total', 'footprint', 'of', 'about', '31', 'km', 'and', 'is', 'designed', 'for', 'a', 'peak', 'luminosity', 'of', '2x1034', 'cm2', 's1', 'the', 'complex', 'includes', 'a', 'polarized', 'electron', 'source', 'an', 'undulatorbased', 'positron', 'source', 'two', '67', 'km', 'circumference', 'damping', 'rings', 'twostage', 'bunch', 'compressors', 'two', '11', 'km', 'long', 'main', 'linacs', 'and', 'a', '45', 'km', 'long', 'beam', 'delivery', 'system', 'this', 'report', 'is', 'volume', 'iii', 'accelerator', 'of', 'the', 'four', 'volume', 'reference', 'design', 'report', 'which', 'describes', 'the', 'design', 'and', 'cost', 'of', 'the', 'ilc']] | [-0.1691802333225496, 0.16345773154476773, 0.014008795469999313, 0.038399955290369686, -0.04337969235144556, -0.18869337941054254, -0.05621118552051484, 0.41222671277821066, -0.16258091106195935, -0.29238187419250605, 0.09800521923520136, -0.3178688587108627, 0.11936412189621479, 0.25205173482769166, 0.048101467355154456, 0.08401843709638342, 0.060709855980239806, -0.06122842205921188, -0.07696363261027728, -0.21357450537849218, 0.16937877465621567, 0.2087028289679438, 0.2950111722195288, 0.09009034800343216, 0.23267235984094442, -0.035849371826625426, 0.0017596242763102054, -0.10898808442056179, -0.060241196965798736, 0.07848123939242214, 0.2855862111132592, 0.10525013503385708, 0.2516688681161031, -0.3365055975411087, -0.10897439238731749, 0.0612090181466192, 0.07530569060705603, 0.04327534252312035, -0.00827735373401083, -0.23604039101162924, 0.018745579232927412, -0.29467380920425057, -0.16700472773984074, 0.1124939074064605, 0.04513726565986872, 0.03466440792195499, -0.21873602396808564, 0.028779831749852748, -0.010337585259694606, 0.11051373901776969, -0.03640202884562314, -0.16902517981245183, 0.030423215944319962, -0.09953601443674415, -0.043950814593117685, 0.09046221018768846, 0.22223540841368958, -0.04903105335542932, -0.14541465068235992, 0.3617746808612719, -0.06172059161355719, -0.02697898122482002, 0.1665039348299615, -0.20131810198538005, -0.04390790707431733, 0.21827217030338944, 0.2779042288195342, -0.008833057875745, -0.18936352861113848, 0.05669592439953704, -0.014868133077397943, 0.2817846927768551, 0.14152610301505775, 0.04203069858485833, 0.25288168493658303, 0.2797775871679187, 0.11390188506862614, 0.1151730266067898, -0.23283782541635445, 0.04575279029086232, -0.4023972684610635, -0.10178283471846954, -0.0612792304251343, 0.06793704017298297, -0.03262024474985083, -0.06249463770072907, 0.3890182286966592, 0.05521151541353902, 0.2078908932302147, -0.026457687054062262, 0.314995919088833, 0.031385012147948144, 0.07853382162109483, 0.12407529570715269, 0.2917683545127511, 0.12904315027408303, 0.16437494885642082, -0.23459195054601878, -0.05940929690841586, 0.001988432633224875] |
712.2362 | Quantum Elastic Net and the Traveling Salesman Problem | Theory of computer calculations strongly depends on the nature of elements
the computer is made of. Quantum interference allows to formulate the Shor
factorization algorithm turned out to be more effective than any one written
for classical computers. Similarly, quantum wave packet reduction allows to
devise the Grover search algorithm which outperforms any classical one. In the
present paper we argue that the quantum incoherent tunneling can be used for
elaboration of new algorithms able to solve some NP-hard problems, such as the
Traveling Salesman Problem, considered to be intractable in the classical
theory of computer computations.
| quant-ph | theory of computer calculations strongly depends on the nature of elements the computer is made of quantum interference allows to formulate the shor factorization algorithm turned out to be more effective than any one written for classical computers similarly quantum wave packet reduction allows to devise the grover search algorithm which outperforms any classical one in the present paper we argue that the quantum incoherent tunneling can be used for elaboration of new algorithms able to solve some nphard problems such as the traveling salesman problem considered to be intractable in the classical theory of computer computations | [['theory', 'of', 'computer', 'calculations', 'strongly', 'depends', 'on', 'the', 'nature', 'of', 'elements', 'the', 'computer', 'is', 'made', 'of', 'quantum', 'interference', 'allows', 'to', 'formulate', 'the', 'shor', 'factorization', 'algorithm', 'turned', 'out', 'to', 'be', 'more', 'effective', 'than', 'any', 'one', 'written', 'for', 'classical', 'computers', 'similarly', 'quantum', 'wave', 'packet', 'reduction', 'allows', 'to', 'devise', 'the', 'grover', 'search', 'algorithm', 'which', 'outperforms', 'any', 'classical', 'one', 'in', 'the', 'present', 'paper', 'we', 'argue', 'that', 'the', 'quantum', 'incoherent', 'tunneling', 'can', 'be', 'used', 'for', 'elaboration', 'of', 'new', 'algorithms', 'able', 'to', 'solve', 'some', 'nphard', 'problems', 'such', 'as', 'the', 'traveling', 'salesman', 'problem', 'considered', 'to', 'be', 'intractable', 'in', 'the', 'classical', 'theory', 'of', 'computer', 'computations']] | [-0.11959943692223889, 0.06369570182809203, -0.13562033898629172, 0.1109177787877024, -0.11831674388773047, -0.22774110943770287, 0.04888954050430894, 0.324666265436669, -0.30598375610239115, -0.30827795321448254, 0.07396618586595256, -0.21352088632879385, -0.22012621667428114, 0.25665879858772933, -0.055710570795519145, 0.1116117065695604, 0.0843734060949406, 0.02851698918210477, -0.06863322717464078, -0.3123845421161848, 0.23831191436224378, 0.03146682728739628, 0.2352775169594079, 0.04359814257255381, 0.04566188971752051, 0.0744277316039985, 0.0024834770106796906, 0.020290297523294528, -0.09145583965392248, 0.11745625011234055, 0.32566532035017404, 0.18127060971059597, 0.28430611742228346, -0.4886815998242381, -0.18865928997660114, 0.1197562033656178, 0.17447699060706787, 0.19504529792580216, 0.004010907833232813, -0.26209489338714437, 0.09311972367913299, -0.13893247570976922, -0.09943271902168996, -0.08646768639968305, -0.0207696681189322, -0.04962662181135306, -0.22734658137808755, 0.014952887781864493, 0.02527700401074493, -0.03544002903702479, 0.026442688523753324, -0.10486442922163255, 0.11466132753442243, 0.09168209094727009, -0.015799188561339685, 0.058457533185629504, 0.12956524041682943, -0.10767676644795335, -0.24662506558269875, 0.44879383547711615, -0.013887960337295639, -0.2122508485407866, 0.1654718787308552, -0.02918569033619823, -0.13616005068683287, 0.12154608249145839, 0.16875497221024996, 0.1533476567452716, -0.1227924307116989, 0.09723305796541888, -0.03786313520326188, 0.17294551194981508, 0.07404298036714498, 0.02940185041138038, 0.13986546293707544, 0.12083410500961635, 0.10836638072409581, 0.17273923112967618, -0.029746610476856224, -0.17741104345000588, -0.2300354865254815, -0.16624257061630487, -0.21424821432267038, 0.06751681294951699, -0.049397274316528565, -0.19683835418779672, 0.34660293035132367, 0.21884739737940914, 0.0906922562220662, 0.03870858146554608, 0.29811506342027605, 0.15384362742530433, 0.05951749777106914, 0.12969955449117368, 0.20733381591685662, 0.1528476309031248, 0.09654348477068328, -0.24011896151482828, 0.05095441521327827, 0.08504314503402055] |
712.2363 | Constraints on the angular distribution of satellite galaxies about
spiral hosts | We present, using a novel technique, a study of the angular distribution of
satellite galaxies around a sample of isolated, blue host galaxies selected
from the sixth data release of the Sloan Digital Sky Survey. As a complement to
previous studies we subdivide the sample of galaxies into bins of differing
inclination and use the systematic differences that would exist between the
different bins as the basis for our approach. We parameterize the cumulative
distribution function of satellite galaxies and apply a maximum likelihood,
Monte-Carlo technique to determine allowable distributions, which we show as an
exclusion plot. We find that the allowed distributions of the satellites of
spiral hosts are very nearly isotropic. We outline our formalism and our
analysis and discuss how this technique may be refined for future studies and
future surveys.
| astro-ph | we present using a novel technique a study of the angular distribution of satellite galaxies around a sample of isolated blue host galaxies selected from the sixth data release of the sloan digital sky survey as a complement to previous studies we subdivide the sample of galaxies into bins of differing inclination and use the systematic differences that would exist between the different bins as the basis for our approach we parameterize the cumulative distribution function of satellite galaxies and apply a maximum likelihood montecarlo technique to determine allowable distributions which we show as an exclusion plot we find that the allowed distributions of the satellites of spiral hosts are very nearly isotropic we outline our formalism and our analysis and discuss how this technique may be refined for future studies and future surveys | [['we', 'present', 'using', 'a', 'novel', 'technique', 'a', 'study', 'of', 'the', 'angular', 'distribution', 'of', 'satellite', 'galaxies', 'around', 'a', 'sample', 'of', 'isolated', 'blue', 'host', 'galaxies', 'selected', 'from', 'the', 'sixth', 'data', 'release', 'of', 'the', 'sloan', 'digital', 'sky', 'survey', 'as', 'a', 'complement', 'to', 'previous', 'studies', 'we', 'subdivide', 'the', 'sample', 'of', 'galaxies', 'into', 'bins', 'of', 'differing', 'inclination', 'and', 'use', 'the', 'systematic', 'differences', 'that', 'would', 'exist', 'between', 'the', 'different', 'bins', 'as', 'the', 'basis', 'for', 'our', 'approach', 'we', 'parameterize', 'the', 'cumulative', 'distribution', 'function', 'of', 'satellite', 'galaxies', 'and', 'apply', 'a', 'maximum', 'likelihood', 'montecarlo', 'technique', 'to', 'determine', 'allowable', 'distributions', 'which', 'we', 'show', 'as', 'an', 'exclusion', 'plot', 'we', 'find', 'that', 'the', 'allowed', 'distributions', 'of', 'the', 'satellites', 'of', 'spiral', 'hosts', 'are', 'very', 'nearly', 'isotropic', 'we', 'outline', 'our', 'formalism', 'and', 'our', 'analysis', 'and', 'discuss', 'how', 'this', 'technique', 'may', 'be', 'refined', 'for', 'future', 'studies', 'and', 'future', 'surveys']] | [-0.07548984693738618, 0.03482336847473426, -0.14263786187173047, 0.10306605980201597, -0.10092062625422407, -0.013749399677669602, 0.09448502329351909, 0.404482824442936, -0.1768135488130597, -0.36142726272080483, 0.0625274273455699, -0.3163925702336119, -0.08986216404044362, 0.22867333629071268, -0.0066027677889023695, -0.00560703322572856, 0.05499419048706542, -0.10890232900213172, -0.08895249862168263, -0.2673944423128086, 0.30661908648352126, 0.059729856709991376, 0.25040007747167636, -0.06883917269713954, 0.07127476910671303, 0.01998154100364269, -0.12893182258191171, 0.008242754877280833, -0.21198114813246796, 0.07806605776883106, 0.2370578142086308, 0.18262898564032876, 0.23659786493725962, -0.33712657773812954, -0.17031726084385457, 0.12942085213222498, 0.20800483510256118, 0.10618705438482992, -0.07281018904090594, -0.25720061661689475, 0.07954920439393635, -0.1936830013691545, -0.17087001040744693, -0.03178669553972892, 0.005809225129839311, 0.07413349447792757, -0.22705128093236196, 0.10890085505905436, 0.022886598941439122, 0.06887312396081971, -0.06732840770890297, -0.12426564003924714, -0.0513987204410942, 0.13693855491244414, 0.018770136186721, 0.03221512116133861, 0.15176828184387467, -0.09580695726595986, -0.060900668189652375, 0.3812852492886109, -0.04248897678482888, -0.08429032727926553, 0.153148093274725, -0.1897708061794097, -0.17747633300249033, 0.048680181612448296, 0.24472554666754692, 0.12609225558812048, -0.1680570104708478, -0.00288374051182364, -0.05786359600145926, 0.1772702161618856, 0.008129343088132455, 0.0279321212863633, 0.28130561190504416, 0.11800040049937123, 0.08416471871418822, 0.15237519374628092, -0.21331390763507851, -0.034759119192986236, -0.29294136465429815, -0.12071506740721816, -0.1797406585164257, 0.03207475702893406, -0.09305321009872644, -0.11598283942761038, 0.38208175676443906, 0.17052670674999731, 0.2684468542270835, 0.09919666389868692, 0.3193919720308883, 0.06305762394609403, 0.09131404673402656, 0.024990278595029863, 0.25376870026968334, 0.09839584236554523, 0.04441744035089027, -0.19170695792235531, 0.0199559379556675, -0.03704796002746852] |
712.2364 | Singularities of the Secant Variety | We give positivity conditions on the embedding of a smooth variety which
guarantee the normality of the secant variety, generalizing earlier results of
the author and others. We also give classes of secant varieties satisfying the
Hodge conjecture as well as a result on the singular locus of degenerate secant
varieties.
| math.AG math.AC | we give positivity conditions on the embedding of a smooth variety which guarantee the normality of the secant variety generalizing earlier results of the author and others we also give classes of secant varieties satisfying the hodge conjecture as well as a result on the singular locus of degenerate secant varieties | [['we', 'give', 'positivity', 'conditions', 'on', 'the', 'embedding', 'of', 'a', 'smooth', 'variety', 'which', 'guarantee', 'the', 'normality', 'of', 'the', 'secant', 'variety', 'generalizing', 'earlier', 'results', 'of', 'the', 'author', 'and', 'others', 'we', 'also', 'give', 'classes', 'of', 'secant', 'varieties', 'satisfying', 'the', 'hodge', 'conjecture', 'as', 'well', 'as', 'a', 'result', 'on', 'the', 'singular', 'locus', 'of', 'degenerate', 'secant', 'varieties']] | [-0.15752582157067224, -0.07660891695459392, -0.11369571855803039, 0.07246122019840222, -0.11547144936562023, -0.1336076653142478, 0.0023588782505077474, 0.23179856483258454, -0.27378440666578563, -0.21684621683522767, 0.12820983238006925, -0.20404329457247228, -0.16690504594760783, 0.24038416291495748, -0.18445729668818267, 0.04598254893048137, 0.04342761175597415, 0.01783515187893428, -0.0947446052678952, -0.42420580661764334, 0.5046039383639308, -0.08081796529757626, 0.29097123487907295, 0.12322348049458336, 0.11755254957824945, -0.007619354563454787, 0.016301180656049765, -0.03977921922056589, -0.16460271585075295, 0.13886709394408206, 0.3044420455002646, 0.1443004613084828, 0.16126381152985142, -0.3470394409754697, -0.14172392837502354, 0.2138913333251634, 0.06871804638820536, 0.0640249690292038, 0.009090551271048538, -0.2516830952144137, 0.09035726202030976, -0.12977541307462195, -0.26123929556970504, -0.1221444388741956, -0.020966392037842202, 0.12488979192487165, -0.23026359063007085, 0.023768264795174163, 0.1668961812381395, 0.17666092153419466, -0.05509199892335078, -0.15696466397311465, -0.09803109074139274, -0.002273341202560593, 0.026607747719276185, -0.015435595047094073, 0.057850945928115766, -0.10343378029909789, -0.10641284139059923, 0.37208919711502303, -0.024810290018863538, -0.21071135848030156, 0.1663025981226169, -0.14966660696903572, -0.17789433407140712, 0.12947211522316815, 0.12153686121033103, 0.2052237997288067, 0.06704065649240624, 0.11525470392627861, -0.17590880876078324, -0.07167346684225634, 0.17696661792476387, 0.023134828183352583, 0.10026469698869715, 0.07083159280648711, 0.1193919523673899, 0.11344072951789141, -0.0077343019748143125, -0.03743989594901601, -0.39634160872767954, -0.22315377327522226, -0.11319914732274472, 0.1782106227040583, -0.14497731310999085, -0.20907971861900068, 0.45205812477598, 0.043003369999282504, 0.23877087735808364, 0.15128795811381446, 0.2432073435800917, 0.04622025190231701, -0.02050507028459334, -0.015636542955796945, 0.15581076586272055, 0.2554436126705624, 0.004959534725868234, -0.09241768345693309, 0.04800824645687552, 0.22216716926435337] |
712.2365 | Ternary cyclotomic polynomials having a large coefficient | Let $\Phi_n(x)$ denote the $n$th cyclotomic polynomial. In 1968 Sister Marion
Beiter conjectured that $a_n(k)$, the coefficient of $x^k$ in $\Phi_n(x)$,
satisfies $|a_n(k)|\le (p+1)/2$ in case $n=pqr$ with $p<q<r$ primes (in this
case $\Phi_n(x)$ is said to be ternary). Since then several results towards
establishing her conjecture have been proved (for example $|a_n(k)|\le 3p/4$).
Here we show that, nevertheless, Beiter's conjecture is false for every $p\ge
11$. We also prove that given any $\epsilon>0$ there exist infinitely many
triples $(p_j,q_j,r_j)$ with $p_1<p_2<... $ consecutive primes such that
$|a_{p_jq_jr_j}(n_j)|>(2/3-\epsilon)p_j$ for $j\ge 1$.
| math.NT | let phi_nx denote the nth cyclotomic polynomial in 1968 sister marion beiter conjectured that a_nk the coefficient of xk in phi_nx satisfies a_nkle p12 in case npqr with pqr primes in this case phi_nx is said to be ternary since then several results towards establishing her conjecture have been proved for example a_nkle 3p4 here we show that nevertheless beiters conjecture is false for every pge 11 we also prove that given any epsilon0 there exist infinitely many triples p_jq_jr_j with p_1p_2 consecutive primes such that a_p_jq_jr_jn_j23epsilonp_j for jge 1 | [['let', 'phi_nx', 'denote', 'the', 'nth', 'cyclotomic', 'polynomial', 'in', '1968', 'sister', 'marion', 'beiter', 'conjectured', 'that', 'a_nk', 'the', 'coefficient', 'of', 'xk', 'in', 'phi_nx', 'satisfies', 'a_nkle', 'p12', 'in', 'case', 'npqr', 'with', 'pqr', 'primes', 'in', 'this', 'case', 'phi_nx', 'is', 'said', 'to', 'be', 'ternary', 'since', 'then', 'several', 'results', 'towards', 'establishing', 'her', 'conjecture', 'have', 'been', 'proved', 'for', 'example', 'a_nkle', '3p4', 'here', 'we', 'show', 'that', 'nevertheless', 'beiters', 'conjecture', 'is', 'false', 'for', 'every', 'pge', '11', 'we', 'also', 'prove', 'that', 'given', 'any', 'epsilon0', 'there', 'exist', 'infinitely', 'many', 'triples', 'p_jq_jr_j', 'with', 'p_1p_2', 'consecutive', 'primes', 'such', 'that', 'a_p_jq_jr_jn_j23epsilonp_j', 'for', 'jge', '1']] | [-0.2253641635617789, 0.1251812385121251, -0.09118074716671425, 0.03354093018946621, -0.0008832211524028988, -0.25106745353516413, -0.021861719909836264, 0.308037109878462, -0.3004859010524609, -0.20488905140253552, 0.04891592647061985, -0.31966205845751305, -0.18184130850028904, 0.2149475765578887, -0.13097937475157617, -0.0024204330573625423, 0.052043620151166314, 0.12582208839628625, 0.006963348572197206, -0.38767376518534385, 0.2541317828437861, -0.11598535573986524, 0.12812172490007737, 0.07576966636321124, 0.07899919425630395, 0.0024271583081880476, 0.10649779034121072, -0.04997634061557405, -0.2109686399114948, 0.017834320078220438, 0.3607970149694558, 0.12536275304360864, 0.29902174370363355, -0.3157556555107209, -0.09773474708747337, 0.29860402703394784, 0.19233223521972403, -0.05591226927251281, -0.04394480672336238, -0.18348381387836793, 0.24079442586311522, -0.1659090043976903, -0.18157318170894596, -0.056308442436377795, 0.17659170783179648, 0.02702501381692641, -0.33991487354916683, 0.047748246046317305, 0.13229828369529809, 0.10900590799968032, -0.03402731804834569, -0.21240523356725188, -0.011686499646919615, 0.040987563971430066, 0.0565700395799735, 0.06837730065590757, -0.08008483653025264, -0.012068660844884374, -0.15943293510662282, 0.31995033952681456, -0.01834839972503045, -0.163085823210285, 0.04103083618204383, -0.23169576361611047, -0.2608670697273577, 0.09574649711276459, -0.015069554154487217, 0.13247691159520078, 0.015248249032918144, 0.19599779180853683, -0.1910023917170132, 0.1581309922696913, 0.2425272268078783, -0.033367625717073676, 0.11127542212386342, -0.016555764912353717, 0.052572291576550065, 0.11396743208854733, 0.019612306728959084, 0.046142511946313525, -0.29608291009550586, -0.22877398076850702, -0.2340993506286074, 0.17361252071226344, -0.09628231121665415, -0.13445414429777028, 0.27402126590502174, 0.12647375996388932, 0.12929257943349726, 0.145256772440146, 0.12650285086676696, 0.10856507430127, 0.0066294681116500324, 0.1376336404670249, 0.11391198383644223, 0.13705992454334218, -0.044904446207425175, -0.08240133541951175, 0.06730008082026068, 0.17625032744425184] |
712.2366 | Thermal shifts and intermittent linear response of aging systems | At time $t$ after an initial quench, an aging system responds to a
perturbation turned on at time $ t_{\rm w} < t$ in a way mainly depending on
the number of intermittent energy fluctuations, so-called quakes, which fall
within the observation interval $(t_{\rm w},t]$ [Sibani et al. Phys. Rev. B,
74, 224407 and Eur. J. of Physics B, 58,483-491, 2007]. The temporal
distribution of the quakes implies a functional dependence of the average
response on the ratio $t/t_{\rm w}$. Further insight is obtained imposing small
temperature steps, so-called $T$-shifts. The average response as a function of
$t/t_{\rm w,eff}$, where $t_{\rm w,eff}$ is the effective age, is similar to
the response of a system aged isothermally at the final temperature. Using an
Ising model with plaquette interactions, the applicability of analytic formulae
for the average isothermal magnetization is confirmed. The $T$-shifted aging
behavior of the model is described using effective ages. Large positive shifts
nearly reset the effective age. Negative $T$-shifts offer a more detailed probe
of the dynamics. Assuming the marginal stability of the `current' attractor
against thermal noise fluctuations, the scaling form $t_{\rm w,eff} = t_{\rm
w}^x$, and the dependence of the exponent $x$ on the aging temperatures before
and after the shift are theoretically available. The predicted form of $x$ has
no adjustable parameters. Both the algebraic scaling of the effective age and
the form of the exponent agree with the data. The simulations thus confirm the
crucial r\^{o}le of marginal stability in glassy relaxation.
| cond-mat.stat-mech cond-mat.dis-nn cond-mat.soft | at time t after an initial quench an aging system responds to a perturbation turned on at time t_rm w t in a way mainly depending on the number of intermittent energy fluctuations socalled quakes which fall within the observation interval t_rm wt sibani et al phys rev b 74 224407 and eur j of physics b 58483491 2007 the temporal distribution of the quakes implies a functional dependence of the average response on the ratio tt_rm w further insight is obtained imposing small temperature steps socalled tshifts the average response as a function of tt_rm weff where t_rm weff is the effective age is similar to the response of a system aged isothermally at the final temperature using an ising model with plaquette interactions the applicability of analytic formulae for the average isothermal magnetization is confirmed the tshifted aging behavior of the model is described using effective ages large positive shifts nearly reset the effective age negative tshifts offer a more detailed probe of the dynamics assuming the marginal stability of the current attractor against thermal noise fluctuations the scaling form t_rm weff t_rm wx and the dependence of the exponent x on the aging temperatures before and after the shift are theoretically available the predicted form of x has no adjustable parameters both the algebraic scaling of the effective age and the form of the exponent agree with the data the simulations thus confirm the crucial role of marginal stability in glassy relaxation | [['at', 'time', 't', 'after', 'an', 'initial', 'quench', 'an', 'aging', 'system', 'responds', 'to', 'a', 'perturbation', 'turned', 'on', 'at', 'time', 't_rm', 'w', 't', 'in', 'a', 'way', 'mainly', 'depending', 'on', 'the', 'number', 'of', 'intermittent', 'energy', 'fluctuations', 'socalled', 'quakes', 'which', 'fall', 'within', 'the', 'observation', 'interval', 't_rm', 'wt', 'sibani', 'et', 'al', 'phys', 'rev', 'b', '74', '224407', 'and', 'eur', 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712.2367 | Petri map for rank two bundles with canonical determinant | We prove the Bertram-Feinberg-Mukai conjecture for a generic curve $C$ of
genus $g$ and a semistable vector bundle $E$ of rank two and determinant $K$ on
$C$, namely we prove the injectivity of the Petri-canonical map $S^2(H^0(E))\to
H^0(S^2(E))$.
| math.AG | we prove the bertramfeinbergmukai conjecture for a generic curve c of genus g and a semistable vector bundle e of rank two and determinant k on c namely we prove the injectivity of the petricanonical map s2h0eto h0s2e | [['we', 'prove', 'the', 'bertramfeinbergmukai', 'conjecture', 'for', 'a', 'generic', 'curve', 'c', 'of', 'genus', 'g', 'and', 'a', 'semistable', 'vector', 'bundle', 'e', 'of', 'rank', 'two', 'and', 'determinant', 'k', 'on', 'c', 'namely', 'we', 'prove', 'the', 'injectivity', 'of', 'the', 'petricanonical', 'map', 's2h0eto', 'h0s2e']] | [-0.2865010650030204, 0.031497621536254884, -0.08870261487151895, 0.023760438125048366, -0.04571734686781253, -0.23417133750127894, 0.044093356760484835, 0.32363207938947847, -0.299319284089974, -0.17455635451312576, 0.07340027312082904, -0.23022677450706916, -0.14782096621181284, 0.1872546118817159, -0.10158468772258078, 0.021823984796979598, 0.06614629040871348, 0.1552929384899991, -0.09063244004334722, -0.2815730249808569, 0.429837042093277, -0.13158350022775786, 0.18593630317066398, 0.15857232284865208, 0.1426226135077221, 0.04043914062370147, 0.00498007381600993, -0.03783463181129524, -0.1746147383004427, 0.16338372259799924, 0.23507911190390587, 0.1487841340846249, 0.16986778044540968, -0.2874663180006402, -0.1635982816041048, 0.2760283666795918, 0.03697749820670911, -0.05936389341950417, 0.04772544654551893, -0.19283043617116555, 0.1599850416715656, -0.09825197293290071, -0.18567101742540087, -0.0643100974283048, 0.147772152352679, -0.02537581106381757, -0.2542546449894352, -0.05564748623541423, 0.1431419173521655, 0.16322095072163004, -0.0523296706511506, -0.17847189732960292, -0.12236930456544672, -0.03886011339990156, -0.002337473151939256, 0.11581245300226978, 0.07610550336539745, -0.09664865975334708, -0.05664186057235513, 0.33083271352308136, -0.17795770979885545, -0.14565575729523386, 0.08307905250361987, -0.12795838255967412, -0.15488449771489415, 0.08430033041430371, 0.13424400745092757, 0.21627815481624565, 0.09155843808714832, 0.2169165505329147, -0.14361358650078598, 0.08234995651457991, 0.09116333023245846, -0.1244000659723367, 0.14416032076946328, 0.03880911833340568, 0.10130144634749741, 0.13551441409758158, -0.07483401481461312, 0.07546567070697036, -0.37008763807160516, -0.31857860035129953, -0.11029749672327722, 0.18033009735601288, -0.14962563655655167, -0.1559282362194998, 0.43825043950762066, 0.026181807528649056, 0.2574717617992844, 0.2091233710625342, 0.19320719590676683, 0.03331972371254648, -0.017266847359548722, 0.116454381841634, 0.13550578323858126, 0.237665002713246, -0.057608254719525576, -0.14520558262509958, -0.04915587280743888, 0.25047453311937196] |
712.2368 | Mass modelling of galaxy clusters via velocity moments | We summarize the method of mass modelling of galaxy clusters based on
reproducing the dispersion and kurtosis of the projected velocity distribution
of galaxies. The models are parametrized within the framework of the NFW
density profile, characterized by the virial mass and concentration, together
with the constant anisotropy of galaxy orbits. The use of velocity dispersion
alone does not allow to constrain all the three parameters from kinematic data
due to the mass-anisotropy degeneracy. The degeneracy is broken by introducing
the fourth velocity moment, the kurtosis. We tested the method based on fitting
both moments on mock data sets drawn from simulated dark matter haloes and
showed it to reproduce reliably the properties of the haloes. The method has
been applied to estimate the mass, concentration and anisotropy of more than 20
clusters which allowed us to confirm, for the first time using kinematic data,
the mass-concentration relation found in N-body simulations.
| astro-ph | we summarize the method of mass modelling of galaxy clusters based on reproducing the dispersion and kurtosis of the projected velocity distribution of galaxies the models are parametrized within the framework of the nfw density profile characterized by the virial mass and concentration together with the constant anisotropy of galaxy orbits the use of velocity dispersion alone does not allow to constrain all the three parameters from kinematic data due to the massanisotropy degeneracy the degeneracy is broken by introducing the fourth velocity moment the kurtosis we tested the method based on fitting both moments on mock data sets drawn from simulated dark matter haloes and showed it to reproduce reliably the properties of the haloes the method has been applied to estimate the mass concentration and anisotropy of more than 20 clusters which allowed us to confirm for the first time using kinematic data the massconcentration relation found in nbody simulations | [['we', 'summarize', 'the', 'method', 'of', 'mass', 'modelling', 'of', 'galaxy', 'clusters', 'based', 'on', 'reproducing', 'the', 'dispersion', 'and', 'kurtosis', 'of', 'the', 'projected', 'velocity', 'distribution', 'of', 'galaxies', 'the', 'models', 'are', 'parametrized', 'within', 'the', 'framework', 'of', 'the', 'nfw', 'density', 'profile', 'characterized', 'by', 'the', 'virial', 'mass', 'and', 'concentration', 'together', 'with', 'the', 'constant', 'anisotropy', 'of', 'galaxy', 'orbits', 'the', 'use', 'of', 'velocity', 'dispersion', 'alone', 'does', 'not', 'allow', 'to', 'constrain', 'all', 'the', 'three', 'parameters', 'from', 'kinematic', 'data', 'due', 'to', 'the', 'massanisotropy', 'degeneracy', 'the', 'degeneracy', 'is', 'broken', 'by', 'introducing', 'the', 'fourth', 'velocity', 'moment', 'the', 'kurtosis', 'we', 'tested', 'the', 'method', 'based', 'on', 'fitting', 'both', 'moments', 'on', 'mock', 'data', 'sets', 'drawn', 'from', 'simulated', 'dark', 'matter', 'haloes', 'and', 'showed', 'it', 'to', 'reproduce', 'reliably', 'the', 'properties', 'of', 'the', 'haloes', 'the', 'method', 'has', 'been', 'applied', 'to', 'estimate', 'the', 'mass', 'concentration', 'and', 'anisotropy', 'of', 'more', 'than', '20', 'clusters', 'which', 'allowed', 'us', 'to', 'confirm', 'for', 'the', 'first', 'time', 'using', 'kinematic', 'data', 'the', 'massconcentration', 'relation', 'found', 'in', 'nbody', 'simulations']] | [-0.04987600819118885, 0.05936158561273355, -0.1451199453746851, 0.10387122602658469, -0.09223360951230127, -0.03181391812272762, 0.0038624976606163393, 0.35478552548508896, -0.18766382657065006, -0.3926366590373953, 0.036770211870469596, -0.26981510264848013, -0.013660425217877721, 0.2157561209199852, 0.042180961627500915, 0.0622742937565291, 0.011450459284548598, -0.023627574067703744, -0.08322458408120408, -0.27213421726513554, 0.3512055324022903, 0.05021838881810637, 0.2474009097725349, -0.009140493152172942, 0.09117964936855347, -0.04519522594484059, -0.08393800652916789, 0.03257655189372599, -0.19279277567004197, 0.08689345339524535, 0.13656861106145649, 0.10396214352314066, 0.19173017610936718, -0.3602464621416354, -0.20332441576082552, 0.10344535929739083, 0.17275788837057343, 0.09482135856830466, -0.06602454884868118, -0.31236820900812745, 0.04637840941244289, -0.1776578736332196, -0.19275162867454224, -0.06383512670321292, -0.026067380500367825, 0.07121081210329737, -0.2361024499987252, 0.21674525368296982, -0.010869513189199528, 0.025659673444399806, -0.07952707767406919, -0.1250916557312992, -0.11014313913504961, 0.07595934182187959, 0.06605218912897583, -0.005846530529915502, 0.1677051618437537, -0.10766441043118616, 0.0009182881614450659, 0.42519798580753176, -0.06661235835867717, -0.12744138344485118, 0.15534437926008218, -0.20554436688191918, -0.15173403989817752, 0.08935349910997932, 0.18125746458597286, 0.0561555820321174, -0.15232817047140806, 0.05966900651324786, -0.015021368218616485, 0.23650936934312708, 0.04346424966015069, -0.0697356982577491, 0.2725025207404734, 0.08359746986044277, 0.049843622702418974, 0.049448061081899426, -0.19357561045111843, -0.0555039051204834, -0.2280975716229908, -0.08784170101065875, -0.2183518941172607, -0.020022961113346883, -0.13541505542410673, -0.11492643792390529, 0.3882963653519063, 0.18380913544177402, 0.2573291173106746, 0.10052033136889804, 0.2993184242054428, 0.09678653386225433, 0.124828875210369, 0.08470627942925173, 0.2649175072162363, 0.20925576520523081, 0.04273746145343849, -0.26774449056431066, 0.0722354951706764, 0.008391823124838993] |
712.2369 | Dynamos and Chemical Mixing in Evolved Stars | In low-mass Red Giant Branch (RGB) and Asymptotic Giant Branch (AGB) stars,
anomalous mixing must transport material near the hydrogen-burning shell to the
convective envelope. Recently, it was suggested that buoyant magnetic flux
tubes could supply the necessary transport rate (Busso et al. 2007). The fields
are assumed to originate from a dynamo operating in the stellar interior. Here,
we show what is required of an $\alpha-\Omega$ dynamo in the envelope of an AGB
star to maintain these fields. Differential rotation and rotation drain via
turbulent dissipation and Poynting flux, so if shear can be resupplied by
convection, then large-scale toroidal field strengths of
$\left<B_\phi\right>\simeq3\times10^4$ G can be sustained at the base of the
convection zone.
| astro-ph | in lowmass red giant branch rgb and asymptotic giant branch agb stars anomalous mixing must transport material near the hydrogenburning shell to the convective envelope recently it was suggested that buoyant magnetic flux tubes could supply the necessary transport rate busso et al 2007 the fields are assumed to originate from a dynamo operating in the stellar interior here we show what is required of an alphaomega dynamo in the envelope of an agb star to maintain these fields differential rotation and rotation drain via turbulent dissipation and poynting flux so if shear can be resupplied by convection then largescale toroidal field strengths of leftb_phirightsimeq3times104 g can be sustained at the base of the convection zone | [['in', 'lowmass', 'red', 'giant', 'branch', 'rgb', 'and', 'asymptotic', 'giant', 'branch', 'agb', 'stars', 'anomalous', 'mixing', 'must', 'transport', 'material', 'near', 'the', 'hydrogenburning', 'shell', 'to', 'the', 'convective', 'envelope', 'recently', 'it', 'was', 'suggested', 'that', 'buoyant', 'magnetic', 'flux', 'tubes', 'could', 'supply', 'the', 'necessary', 'transport', 'rate', 'busso', 'et', 'al', '2007', 'the', 'fields', 'are', 'assumed', 'to', 'originate', 'from', 'a', 'dynamo', 'operating', 'in', 'the', 'stellar', 'interior', 'here', 'we', 'show', 'what', 'is', 'required', 'of', 'an', 'alphaomega', 'dynamo', 'in', 'the', 'envelope', 'of', 'an', 'agb', 'star', 'to', 'maintain', 'these', 'fields', 'differential', 'rotation', 'and', 'rotation', 'drain', 'via', 'turbulent', 'dissipation', 'and', 'poynting', 'flux', 'so', 'if', 'shear', 'can', 'be', 'resupplied', 'by', 'convection', 'then', 'largescale', 'toroidal', 'field', 'strengths', 'of', 'leftb_phirightsimeq3times104', 'g', 'can', 'be', 'sustained', 'at', 'the', 'base', 'of', 'the', 'convection', 'zone']] | [-0.1425007512596877, 0.2315859993648605, -0.05688083689382071, 0.07777745273728087, -0.14769148843755064, 0.011712992576097972, 0.04561505004101874, 0.3737313807941973, -0.2341134765771577, -0.34784942364581584, 0.06838993403014906, -0.1793553481106197, -0.08074480866229064, 0.18267328143855066, -0.10902751990790038, -0.04282882066623291, 0.08891809186203764, -0.022808820123604516, 0.04005474269618852, -0.2136189990979211, 0.30605164069780394, 0.07275298061339479, 0.20426934353370024, -0.0360605452340423, 0.026651626812261447, -0.2271197376682897, 0.027631882839558416, -0.03840645156359594, -0.17012912135709357, -0.020736961927787775, 0.1931927002590607, 0.047000373615638205, 0.19098120871441146, -0.49877967644613563, -0.2540140064155454, 0.03457723013860615, 0.23881071317826577, 0.07818234714336302, -0.038987894174887947, -0.19328687550794138, 0.06993978357518484, -0.1809470488591806, -0.15047356032504977, 0.00839178857246512, 0.053389591022941954, 0.03450659088169535, -0.32362153638244134, 0.0705546372327055, 0.09821515397287153, 0.10134188060162655, -0.05961488668087935, -0.10746583302930128, -0.1968950250169687, 0.09434722799791448, 0.08611031052893386, 0.0619539030615175, 0.2087097536453879, -0.15121838898937168, 0.02099704367860237, 0.31454985773828076, -0.10720313191740659, -0.06252612959462822, 0.2008139922655302, -0.21398700981221178, -0.06961070837681754, 0.19805507950092616, 0.1525730911250177, 0.12953342851087973, -0.1674780455712033, 0.005962919417805479, -0.01581567993158834, 0.09739292971789837, 0.1019546751856085, -0.04058904865380834, 0.3528510901603129, 0.17294259633860765, 0.03762393034667822, 0.0646572416043726, -0.2222247317355747, -0.04612177292450756, -0.26616225653867187, -0.09903950149830627, -0.12093637986930716, 0.09885765692799173, -0.07832173612992496, -0.17577900521849332, 0.28713300713775025, 0.0989682842944667, 0.1269997276698664, -0.05597092950585903, 0.30383575108033, 0.15085548822759864, 0.11003144691992355, 0.24020093732938302, 0.37275627768484126, 0.29249488100973203, 0.14458976897590778, -0.32055146509185106, 0.05912812600696558, 0.06288826669844096] |
712.237 | Lifting to cluster-tilting objects in 2-Calabi-Yau triangulated
categories | We show that a tilting module over the endomorphism algebra of a
cluster-tilting object in a 2-Calabi-Yau triangulated category lifts to a
cluster-tilting object in this 2-Calabi-Yau triangulated category. This
generalizes a recent work of D. Smith for cluster categories.
| math.RT math.RA | we show that a tilting module over the endomorphism algebra of a clustertilting object in a 2calabiyau triangulated category lifts to a clustertilting object in this 2calabiyau triangulated category this generalizes a recent work of d smith for cluster categories | [['we', 'show', 'that', 'a', 'tilting', 'module', 'over', 'the', 'endomorphism', 'algebra', 'of', 'a', 'clustertilting', 'object', 'in', 'a', '2calabiyau', 'triangulated', 'category', 'lifts', 'to', 'a', 'clustertilting', 'object', 'in', 'this', '2calabiyau', 'triangulated', 'category', 'this', 'generalizes', 'a', 'recent', 'work', 'of', 'd', 'smith', 'for', 'cluster', 'categories']] | [-0.1782345677376725, -0.05790883582085371, -0.10999656340572983, 0.04050751051399857, -0.16085311216302217, -0.13937159449560568, -0.05676591712981462, 0.425826923083514, -0.4812137749278918, -0.1725997079629451, -0.02092399889952503, -0.0986479009501636, -0.1325329661834985, 0.1339944605482742, -0.3944135737372562, -0.18108463212847709, 0.24245629450306297, 0.16073812320828437, -0.01896613971912302, -0.2912368464283645, 0.5233813208527863, -0.002785863319877535, 0.2143350766506046, -0.03840747561189346, 0.14157836479134858, 0.00044084242545068265, 0.03228368605487049, 0.09195181163959205, -0.14111743331977777, 0.17656446797773243, 0.37546960334293544, 0.0465547158382833, 0.18294334228266962, -0.24756415858864783, -0.04242408708669245, 0.14560066990088671, 0.1318783839698881, 0.0774226192268543, -0.07490868505556136, -0.3504503084812313, 0.12963754159864038, -0.40263513550162316, -0.04081259586382657, 0.04303071005269885, 0.23391767749562858, -0.04629532634280622, -0.2779967623762786, -0.09956537722609937, 0.1477975193178281, 0.1783093487028964, -0.22397796232253314, -0.037485205475240944, -0.1070794234285131, 0.032582265872042625, -0.17968233763240277, 0.12975024607731028, 0.18452230418333784, -0.20533132463460788, -0.14930973313748835, 0.2883579611952882, -0.04880923074670136, -0.1684425371233374, 0.1943443260155618, -0.15175290703773497, -0.2382313136011362, 0.12168280258774758, -0.03530380809679627, 0.2155033191666007, -0.00496841985732317, 0.2058181372936815, -0.29474072442390026, -0.005556614173110574, 0.12418259014375507, -0.03630110098747537, 0.198203010763973, 0.1787786040455103, -0.02002463735989295, 0.23998305606655776, -0.03699512752937153, 0.03614822118543089, -0.3121758894994855, -0.21933570825494825, -0.05706709739752114, 0.16682607550173997, -0.07512568919919431, -0.1856268351431936, 0.3837610538175795, 0.15948396236635745, 0.26408939263783393, 0.21449895708356054, 0.21517149601131677, -0.12486244435422122, 0.15361944190226495, 0.039520440010892346, 0.10861511332914234, 0.3273789267987013, -0.025997447097324766, -0.021425181115046144, -0.04111716376792174, 0.27031529920059255] |
712.2371 | Maximum-rate, Minimum-Decoding-Complexity STBCs from Clifford Algebras | It is well known that Space-Time Block Codes (STBCs) from orthogonal designs
(ODs) are single-symbol decodable/symbol-by-symbol decodable (SSD) and are
obtainable from unitary matrix representations of Clifford algebras. However,
SSD codes are obtainable from designs that are not orthogonal also. Recently,
two such classes of SSD codes have been studied: (i) Coordinate Interleaved
Orthogonal Designs (CIODs) and (ii) Minimum-Decoding-Complexity (MDC) STBCs
from Quasi-ODs (QODs). Codes from ODs, CIODs and MDC-QODs are mutually
non-intersecting classes of codes. The class of CIODs have {\it non-unitary
weight matrices} when written as a Linear Dispersion Code (LDC) proposed by
Hassibi and Hochwald, whereas several known SSD codes including CODs have {\it
unitary weight matrices}. In this paper, we obtain SSD codes with unitary
weight matrices (that are not CODs) called Clifford Unitary Weight SSDs
(CUW-SSDs) from matrix representations of Clifford algebras. A main result of
this paper is the derivation of an achievable upper bound on the rate of any
unitary weight SSD code as $\frac{a}{2^{a-1}}$ for $2^a$ antennas which is
larger than that of the CODs which is $\frac{a+1}{2^a}$. It is shown that
several known classes of SSD codes are CUW-SSD codes and CUW-SSD codes meet
this upper bound. Also, for the codes of this paper conditions on the signal
sets which ensure full-diversity and expressions for the coding gain are
presented. A large class of SSD codes with non-unitary weight matrices are
obtained which include CIODs as a proper subclass.
| cs.IT math.IT | it is well known that spacetime block codes stbcs from orthogonal designs ods are singlesymbol decodablesymbolbysymbol decodable ssd and are obtainable from unitary matrix representations of clifford algebras however ssd codes are obtainable from designs that are not orthogonal also recently two such classes of ssd codes have been studied i coordinate interleaved orthogonal designs ciods and ii minimumdecodingcomplexity mdc stbcs from quasiods qods codes from ods ciods and mdcqods are mutually nonintersecting classes of codes the class of ciods have it nonunitary weight matrices when written as a linear dispersion code ldc proposed by hassibi and hochwald whereas several known ssd codes including cods have it unitary weight matrices in this paper we obtain ssd codes with unitary weight matrices that are not cods called clifford unitary weight ssds cuwssds from matrix representations of clifford algebras a main result of this paper is the derivation of an achievable upper bound on the rate of any unitary weight ssd code as fraca2a1 for 2a antennas which is larger than that of the cods which is fraca12a it is shown that several known classes of ssd codes are cuwssd codes and cuwssd codes meet this upper bound also for the codes of this paper conditions on the signal sets which ensure fulldiversity and expressions for the coding gain are presented a large class of ssd codes with nonunitary weight matrices are obtained which include ciods as a proper subclass | [['it', 'is', 'well', 'known', 'that', 'spacetime', 'block', 'codes', 'stbcs', 'from', 'orthogonal', 'designs', 'ods', 'are', 'singlesymbol', 'decodablesymbolbysymbol', 'decodable', 'ssd', 'and', 'are', 'obtainable', 'from', 'unitary', 'matrix', 'representations', 'of', 'clifford', 'algebras', 'however', 'ssd', 'codes', 'are', 'obtainable', 'from', 'designs', 'that', 'are', 'not', 'orthogonal', 'also', 'recently', 'two', 'such', 'classes', 'of', 'ssd', 'codes', 'have', 'been', 'studied', 'i', 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712.2372 | The effect of unbound stars on the mass modelling of the Fornax dwarf | We discuss how different approaches to selecting member stars in kinematic
samples of dwarf spheroidal galaxies affect the estimates of their mass and
anisotropy of stellar orbits. We demonstrate that the selection of members is
an additional source of error compared to the usual uncertainties due to the
sampling of velocity moments. As an example we use the kinematic data set for
202 stars in the Fornax dwarf galaxy for which we model the velocity dispersion
profile and estimate the mass-to-light ratio and anisotropy assuming that mass
follows light. We also show that stronger constraints on these parameters can
be obtained if kurtosis of the velocity distribution is included in the
analysis. Using the Besancon model of the Milky Way we demonstrate that the
majority of contamination in Fornax probably comes from the Milky Way stars.
| astro-ph | we discuss how different approaches to selecting member stars in kinematic samples of dwarf spheroidal galaxies affect the estimates of their mass and anisotropy of stellar orbits we demonstrate that the selection of members is an additional source of error compared to the usual uncertainties due to the sampling of velocity moments as an example we use the kinematic data set for 202 stars in the fornax dwarf galaxy for which we model the velocity dispersion profile and estimate the masstolight ratio and anisotropy assuming that mass follows light we also show that stronger constraints on these parameters can be obtained if kurtosis of the velocity distribution is included in the analysis using the besancon model of the milky way we demonstrate that the majority of contamination in fornax probably comes from the milky way stars | [['we', 'discuss', 'how', 'different', 'approaches', 'to', 'selecting', 'member', 'stars', 'in', 'kinematic', 'samples', 'of', 'dwarf', 'spheroidal', 'galaxies', 'affect', 'the', 'estimates', 'of', 'their', 'mass', 'and', 'anisotropy', 'of', 'stellar', 'orbits', 'we', 'demonstrate', 'that', 'the', 'selection', 'of', 'members', 'is', 'an', 'additional', 'source', 'of', 'error', 'compared', 'to', 'the', 'usual', 'uncertainties', 'due', 'to', 'the', 'sampling', 'of', 'velocity', 'moments', 'as', 'an', 'example', 'we', 'use', 'the', 'kinematic', 'data', 'set', 'for', '202', 'stars', 'in', 'the', 'fornax', 'dwarf', 'galaxy', 'for', 'which', 'we', 'model', 'the', 'velocity', 'dispersion', 'profile', 'and', 'estimate', 'the', 'masstolight', 'ratio', 'and', 'anisotropy', 'assuming', 'that', 'mass', 'follows', 'light', 'we', 'also', 'show', 'that', 'stronger', 'constraints', 'on', 'these', 'parameters', 'can', 'be', 'obtained', 'if', 'kurtosis', 'of', 'the', 'velocity', 'distribution', 'is', 'included', 'in', 'the', 'analysis', 'using', 'the', 'besancon', 'model', 'of', 'the', 'milky', 'way', 'we', 'demonstrate', 'that', 'the', 'majority', 'of', 'contamination', 'in', 'fornax', 'probably', 'comes', 'from', 'the', 'milky', 'way', 'stars']] | [-0.05780565865022842, 0.04912729311570943, -0.12530672590261982, 0.10679011883193572, -0.12936059938168482, 0.0038865086252746336, 0.05305417558616575, 0.4040587935322786, -0.19720017336144605, -0.36835864198613255, -0.0051064177104682825, -0.29468728120178533, -0.042459838703935555, 0.23157074767411412, -0.06424173916457221, -0.012044531128862324, 0.08411016612252056, -0.03546203236242838, -0.06132366668658934, -0.28097649556516174, 0.32791742111337097, 0.028646085253807112, 0.18677115924519433, -0.06810862273799584, 0.06293983071587075, -0.047635492005878514, -0.057160554001765215, -0.008674905373482034, -0.17277928899656056, 0.04915973813930417, 0.16834216123029097, 0.1375923249836299, 0.20474333403399214, -0.3221917128231486, -0.1771104194888133, 0.08108036139267771, 0.2143136646995759, 0.08938760628927198, -0.09607258420317735, -0.28286956013728154, 0.08420912127065308, -0.1816386820319167, -0.20478485351743395, 0.005106180892599856, 0.01340939459623769, 0.05855161965283675, -0.263778742053546, 0.16284514785986495, 0.04892008666716078, 0.06957744447487023, -0.11667473336702268, -0.16292388268116423, -0.08896488733486929, 0.08387751584557597, 0.07965627736720148, 0.017563592461074758, 0.19074833672493696, -0.14482153919636723, 0.0009609317246084923, 0.4353095660917461, -0.10099254271892064, -0.09485998348442509, 0.1706800016519778, -0.18027496058493853, -0.17640873093692147, 0.03239771559396211, 0.2053684829871225, 0.07605171241277062, -0.1933120055730208, 0.031082090817696608, -0.03783562295275795, 0.19059906715034125, 0.022287395132212517, 0.030214619540428804, 0.2448791319723515, 0.09897707394488595, 0.07539348055348348, 0.07859683813619674, -0.23148192309685434, -0.032317565781447816, -0.2653393835002241, -0.11983198385261108, -0.15498308246349232, 0.0275777579184197, -0.16579995701153272, -0.11603849784382071, 0.35946331058135805, 0.1808342809760207, 0.24299106993588365, 0.05655991875049521, 0.3249416669337627, 0.10685132954602201, 0.11041794010773576, 0.11943104255239151, 0.31165505560827167, 0.1678833908363766, 0.006717829596977133, -0.2548664761518868, 0.09256981958477649, -0.02446730899871053] |
712.2373 | Simple model for QCD analysis of the proton helicity structure | In this paper we use the experimental data to obtain the polarized parton
distribution functions (PPDFs) in the LO and NLO approximations. The analysis
is based on the Jacobi polynomials expansion of the polarized structure
function (PSF). Our calculations for polarized parton distribution functions
based on the Jacobi polynomials method are in good agreement with the other
theoretical models.
| hep-ph | in this paper we use the experimental data to obtain the polarized parton distribution functions ppdfs in the lo and nlo approximations the analysis is based on the jacobi polynomials expansion of the polarized structure function psf our calculations for polarized parton distribution functions based on the jacobi polynomials method are in good agreement with the other theoretical models | [['in', 'this', 'paper', 'we', 'use', 'the', 'experimental', 'data', 'to', 'obtain', 'the', 'polarized', 'parton', 'distribution', 'functions', 'ppdfs', 'in', 'the', 'lo', 'and', 'nlo', 'approximations', 'the', 'analysis', 'is', 'based', 'on', 'the', 'jacobi', 'polynomials', 'expansion', 'of', 'the', 'polarized', 'structure', 'function', 'psf', 'our', 'calculations', 'for', 'polarized', 'parton', 'distribution', 'functions', 'based', 'on', 'the', 'jacobi', 'polynomials', 'method', 'are', 'in', 'good', 'agreement', 'with', 'the', 'other', 'theoretical', 'models']] | [-0.05586407994220065, 0.04690260691094702, -0.20643059874616437, 0.12808076634813667, -0.04236161110575421, -0.0018738963783292448, -0.013867889623694375, 0.4578844818081391, -0.2184837846306421, -0.20368682526809684, 0.006902992545816479, -0.32733735006492015, -0.09566492958278475, 0.1808866093653428, 0.04160548595048613, 0.14403503970637666, 0.08767760401370667, -0.0784588867593241, -0.14364042731349247, -0.2614710533920423, 0.3899960709830462, 0.09336442809741376, 0.2880422178719003, 0.07495091981806998, 0.05193030438977846, 0.06520511013439904, -0.08289832778874848, -0.13676293183244387, -0.11665359112607726, 0.16108479879607082, 0.24798625846812947, 0.06777878732310008, 0.13295591204285118, -0.3873299639040636, -0.12271726399786391, 0.04151623896658579, 0.11976770872755324, 0.08980270931339365, -0.008173633370769479, -0.22219244327585577, 0.02339182781465983, -0.19108250080528905, -0.18629313265052388, -0.1390603176333894, -0.09441097555050658, 0.13374463986542265, -0.322333489794292, 0.07604014921254652, -0.03685085327064587, 0.046780463689775405, -0.02276228803162605, -0.23153699871342062, -0.023818509807115643, 0.03428679199542029, 0.03823122326521424, 0.11835791284250001, 0.058743499416731675, -0.15595479729048656, -0.1193527318379384, 0.35273490202123836, -0.06994144961048486, -0.26143455835280277, 0.05568233785077424, -0.2304891675110843, -0.18455464733069984, 0.10675865403865858, 0.1994520284046056, 0.15625074935161462, -0.10839760785042388, 0.09568188611666624, -0.08154421609084485, 0.164863422007884, 0.05741734961363471, 0.006448929753402145, 0.12818093496864125, 0.11009386374409925, -0.031211287193631723, 0.0921988397120435, -0.06422437188882475, -0.13904903683874567, -0.3423515899832976, -0.05372062184989958, -0.18355362548224502, 0.012501279083554143, -0.152539897678268, -0.1980523354831641, 0.43432693619091634, 0.16023401436159165, 0.18780777939611068, 0.09535689511478453, 0.359230422872608, 0.16294570399203606, 0.04076668179704476, 0.06085572573277405, 0.2176990100435155, 0.2157375907438602, 0.07486200968782275, -0.19392627352154104, 0.0933595247077361, 0.07800627801314754] |
712.2374 | Instability in a Network Coevolving with a Particle System | We study a coupled dynamics of a network and a particle system. Particles of
density $\rho$ diffuse freely along edges, each of which is rewired at a rate
given by a decreasing function of particle flux. We find that the coupled
dynamics leads to an instability toward the formation of hubs and that there is
a dynamic phase transition at a threshold particle density $\rho_c$. In the low
density phase, the network evolves into a star-shaped one with the maximum
degree growing linearly in time. In the high density phase, the network
exhibits a fat-tailed degree distribution and an interesting dynamic scaling
behavior. We present an analytic theory explaining mechanism for the
instability and a scaling theory for the dynamic scaling behavior.
| cond-mat.stat-mech | we study a coupled dynamics of a network and a particle system particles of density rho diffuse freely along edges each of which is rewired at a rate given by a decreasing function of particle flux we find that the coupled dynamics leads to an instability toward the formation of hubs and that there is a dynamic phase transition at a threshold particle density rho_c in the low density phase the network evolves into a starshaped one with the maximum degree growing linearly in time in the high density phase the network exhibits a fattailed degree distribution and an interesting dynamic scaling behavior we present an analytic theory explaining mechanism for the instability and a scaling theory for the dynamic scaling behavior | [['we', 'study', 'a', 'coupled', 'dynamics', 'of', 'a', 'network', 'and', 'a', 'particle', 'system', 'particles', 'of', 'density', 'rho', 'diffuse', 'freely', 'along', 'edges', 'each', 'of', 'which', 'is', 'rewired', 'at', 'a', 'rate', 'given', 'by', 'a', 'decreasing', 'function', 'of', 'particle', 'flux', 'we', 'find', 'that', 'the', 'coupled', 'dynamics', 'leads', 'to', 'an', 'instability', 'toward', 'the', 'formation', 'of', 'hubs', 'and', 'that', 'there', 'is', 'a', 'dynamic', 'phase', 'transition', 'at', 'a', 'threshold', 'particle', 'density', 'rho_c', 'in', 'the', 'low', 'density', 'phase', 'the', 'network', 'evolves', 'into', 'a', 'starshaped', 'one', 'with', 'the', 'maximum', 'degree', 'growing', 'linearly', 'in', 'time', 'in', 'the', 'high', 'density', 'phase', 'the', 'network', 'exhibits', 'a', 'fattailed', 'degree', 'distribution', 'and', 'an', 'interesting', 'dynamic', 'scaling', 'behavior', 'we', 'present', 'an', 'analytic', 'theory', 'explaining', 'mechanism', 'for', 'the', 'instability', 'and', 'a', 'scaling', 'theory', 'for', 'the', 'dynamic', 'scaling', 'behavior']] | [-0.1933762211635037, 0.19853301083639963, -0.12398056430192511, 0.02604247386697069, 0.00309924752504916, -0.11473675547778363, 0.053991391721418217, 0.3308430355226861, -0.2688031519885312, -0.26626179178367504, 0.048892213360856855, -0.30225263296275356, -0.1636963284471393, 0.08952130155053875, 0.02916089740780289, 0.02338669517795082, -0.012976519797821759, 0.06025657562164926, -0.041057405867384836, -0.13336984446791353, 0.29572843389631415, 0.08185911852652665, 0.3006709064166138, 0.05217688302433149, 0.12118009641216915, -0.01613036827689402, 0.05819552135272104, 0.060647629405854685, -0.1595742110146036, 0.043074478036495015, 0.18186790064515423, 0.07604865298499583, 0.2778416981989304, -0.4164308156497532, -0.2392010736416598, 0.08174270420663486, 0.1565733684224962, 0.0885960892268426, -0.08337833131587163, -0.22208483275942137, 0.04859040489756181, -0.15896690755793405, -0.20131845724555192, 0.00028295208104565494, 0.06126310587402616, 0.03854838358123833, -0.29319447111033026, 0.11023849351178916, 0.023782581632926326, 0.022555794513433196, -0.047766666954810744, -0.03533021729634159, -0.05224113624359741, 0.09372119180720727, 0.022825937057830026, 0.0766124762079419, 0.15526153260964107, -0.19686638192105732, -0.06708541843032495, 0.32372882088921107, -0.0743442728646008, -0.1535207534239429, 0.19169188371752618, -0.1644326911468181, -0.14074056955115472, 0.1889581551821139, 0.19076738615718777, 0.09868823505411321, -0.10291134942414575, 0.03765290471764289, -0.01664490094332055, 0.2093719029684597, 0.006030952334633005, -0.003610232776244644, 0.23974378179514505, 0.23925544243290653, 0.09994553900934512, 0.17248671462942586, -0.0907205341452519, -0.13305288218877842, -0.2763974013524588, -0.13725157939355637, -0.18042886055639532, 0.020659722396378696, -0.15817244533310096, -0.18785941552324983, 0.42784453089516916, 0.09580113491440406, 0.266744876097216, 0.09227246037764536, 0.2504229172949725, 0.17207609709795016, 0.042026843959618296, 0.1160419378582327, 0.1861793251601277, 0.12721313439599682, 0.11106576204116715, -0.2453116814483751, 0.07528987693310273, 0.017944222316145897] |
712.2375 | Missing Baryons and the Warm-Hot Intergalactic Medium | Stars and gas in galaxies, hot intracluster medium, and intergalactic
photo-ionized gas make up at most half of the baryons that are expected to be
present in the universe. The majority of baryons are still missing and are
expected to be hidden in a web of warm-hot intergalactic medium. This matter
was shock-heated during the collapse of density perturbations that led to the
formation of the relaxed structures that we see today. Finding the missing
baryons and thereby producing a complete inventory of possibly the only
detectable component of the energy-mass budget of the universe is crucial to
validate or invalidate our standard cosmological model.
| astro-ph | stars and gas in galaxies hot intracluster medium and intergalactic photoionized gas make up at most half of the baryons that are expected to be present in the universe the majority of baryons are still missing and are expected to be hidden in a web of warmhot intergalactic medium this matter was shockheated during the collapse of density perturbations that led to the formation of the relaxed structures that we see today finding the missing baryons and thereby producing a complete inventory of possibly the only detectable component of the energymass budget of the universe is crucial to validate or invalidate our standard cosmological model | [['stars', 'and', 'gas', 'in', 'galaxies', 'hot', 'intracluster', 'medium', 'and', 'intergalactic', 'photoionized', 'gas', 'make', 'up', 'at', 'most', 'half', 'of', 'the', 'baryons', 'that', 'are', 'expected', 'to', 'be', 'present', 'in', 'the', 'universe', 'the', 'majority', 'of', 'baryons', 'are', 'still', 'missing', 'and', 'are', 'expected', 'to', 'be', 'hidden', 'in', 'a', 'web', 'of', 'warmhot', 'intergalactic', 'medium', 'this', 'matter', 'was', 'shockheated', 'during', 'the', 'collapse', 'of', 'density', 'perturbations', 'that', 'led', 'to', 'the', 'formation', 'of', 'the', 'relaxed', 'structures', 'that', 'we', 'see', 'today', 'finding', 'the', 'missing', 'baryons', 'and', 'thereby', 'producing', 'a', 'complete', 'inventory', 'of', 'possibly', 'the', 'only', 'detectable', 'component', 'of', 'the', 'energymass', 'budget', 'of', 'the', 'universe', 'is', 'crucial', 'to', 'validate', 'or', 'invalidate', 'our', 'standard', 'cosmological', 'model']] | [-0.08691427528614266, 0.16178353147448174, -0.07559833131464465, 0.12366761250332707, -0.11422861183860472, -0.007088433272604431, 0.04044149231298694, 0.3603815913555168, -0.19592411527077536, -0.34373805909639316, 0.05213364511839159, -0.29873420553547997, 0.02072732066957369, 0.11155463666876866, 0.031068360725683825, -0.025021351123273017, 0.010500587385502599, -0.03440698857108752, 0.01935797123282793, -0.33846727187434833, 0.3459907158410975, 0.10392620021566039, 0.14638822913347255, 0.037908242966624955, 0.043769258965871166, -0.12126893542174783, -0.09561185988021038, 0.001375483570709115, -0.07407151428598722, 0.06618928422630277, 0.22545422097887025, 0.13343011084057035, 0.2592727162564794, -0.43724982247111344, -0.26806338830363186, 0.13430480336149533, 0.1897673254167395, 0.12366459264996506, -0.0976715045715017, -0.26884862913617064, 0.10887562859626043, -0.1738960757419201, -0.14797814775790488, -0.00238206773730261, -0.018187196610406752, -0.018973943777382374, -0.20827408564731567, 0.1776143035152927, 0.010115077665873936, -0.051625425971689676, -0.08063008714289892, -0.07279195235044296, -0.06028981563812565, 0.06298468971758016, 0.04136010088758277, 0.0536398560252218, 0.21508895933982872, -0.2140606297512672, 0.0033930259978487377, 0.4878606787749699, -0.07557894493497554, -0.017559096687251613, 0.19768341613844748, -0.19617762875166678, -0.1693095392370153, 0.16712502577297744, 0.1811086523934223, 0.061139689651983124, -0.1607601010018871, 0.02607706405798949, -0.07655085948007624, 0.19171214973709236, 0.02911860483831593, 0.053674491020363, 0.3470616330082218, 0.12756886805097262, 0.03040698350717624, 0.0718981466633046, -0.04589346077825342, -0.05304884924331591, -0.2876533953827761, -0.1750299621683856, -0.14783755249698602, 0.051835330183218634, -0.09012186575980324, -0.15903797907023026, 0.3273803393223456, 0.16898001263893786, 0.21749428159313366, -0.008879081908214305, 0.3432306788329567, 0.033127018167371194, 0.058415820449590684, 0.16861301009055404, 0.3030968137972412, 0.1912747167583023, 0.10120981781344329, -0.2060341595539025, 0.10356644680280061, -0.02983188403415538] |
712.2376 | Electron spin relaxation in GaAs quantum dot systems - The role of the
hyperfine interaction | We present numerical results for electron spin relaxation rates for single
and laterally coupled double GaAs quantum dots in a perpendicular magnetic
field. As source of spin relaxation we consider hyperfine interaction with the
nuclear spins in the GaAs substrate. Due to the differences in the energy
scales of the nuclear and electronic Zeeman energies, the phonon bath system
has to be taken into account for energy dissipation. The corresponding
transition rates of second order show strong dependencies on correlations
between the electrons and the electronic energy differences, and hence on the
magnetic field. For a highly asymmetric double dot we have found a relatively
low second order electron spin relaxation rate for a wide range of magnetic
fields.
| cond-mat.mes-hall cond-mat.other | we present numerical results for electron spin relaxation rates for single and laterally coupled double gaas quantum dots in a perpendicular magnetic field as source of spin relaxation we consider hyperfine interaction with the nuclear spins in the gaas substrate due to the differences in the energy scales of the nuclear and electronic zeeman energies the phonon bath system has to be taken into account for energy dissipation the corresponding transition rates of second order show strong dependencies on correlations between the electrons and the electronic energy differences and hence on the magnetic field for a highly asymmetric double dot we have found a relatively low second order electron spin relaxation rate for a wide range of magnetic fields | [['we', 'present', 'numerical', 'results', 'for', 'electron', 'spin', 'relaxation', 'rates', 'for', 'single', 'and', 'laterally', 'coupled', 'double', 'gaas', 'quantum', 'dots', 'in', 'a', 'perpendicular', 'magnetic', 'field', 'as', 'source', 'of', 'spin', 'relaxation', 'we', 'consider', 'hyperfine', 'interaction', 'with', 'the', 'nuclear', 'spins', 'in', 'the', 'gaas', 'substrate', 'due', 'to', 'the', 'differences', 'in', 'the', 'energy', 'scales', 'of', 'the', 'nuclear', 'and', 'electronic', 'zeeman', 'energies', 'the', 'phonon', 'bath', 'system', 'has', 'to', 'be', 'taken', 'into', 'account', 'for', 'energy', 'dissipation', 'the', 'corresponding', 'transition', 'rates', 'of', 'second', 'order', 'show', 'strong', 'dependencies', 'on', 'correlations', 'between', 'the', 'electrons', 'and', 'the', 'electronic', 'energy', 'differences', 'and', 'hence', 'on', 'the', 'magnetic', 'field', 'for', 'a', 'highly', 'asymmetric', 'double', 'dot', 'we', 'have', 'found', 'a', 'relatively', 'low', 'second', 'order', 'electron', 'spin', 'relaxation', 'rate', 'for', 'a', 'wide', 'range', 'of', 'magnetic', 'fields']] | [-0.1498402155888807, 0.21099750868126968, 0.000967431754781669, 0.08023550507745572, 0.02260998822944317, -0.1215108986122205, 0.010476228857350325, 0.41399508488497566, -0.2748721252712069, -0.32287977095849874, 6.814791817030236e-05, -0.2693508030189311, -0.006534205714412848, 0.23723698085753106, 0.10593283177987367, -0.017169571293815345, 0.016683233099668716, 0.007961687989955564, -0.09701664202666584, -0.15944838275381623, 0.3050621463642055, 0.052164190533930954, 0.2607125071026072, 0.14270477870698361, 0.09593290257846795, 0.032942492851377035, 0.12519829027636462, 0.011341302033451175, -0.12998593651235668, 0.05850244827662446, 0.23230272429034568, -0.11470774059504771, 0.24509753872241294, -0.49282010876331006, -0.17961327811436995, 0.028717609809148087, 0.1181929053957848, 0.17066543725585298, -0.10043902893378517, -0.2364863186581608, 0.005776768601147317, -0.1652446960572529, -0.0558278032288957, -0.08886230799972135, 0.010634947816661302, 0.05016559474718045, -0.28490099047130646, 0.13924170161613084, 0.052238144251486644, 0.028911912492906845, -0.11415643930951712, -0.09336694038351763, -0.018727762734188753, 0.08966039229935709, 0.05912294722369583, 0.05049580257256836, 0.19968018848879435, -0.1046344745833771, -0.12714286439684258, 0.3566364304264303, -0.06771860194995123, -0.13528901122573042, 0.16469760367474637, -0.2307394596380221, -0.06560001321559568, 0.17012686175959452, 0.18869159501358992, 0.09061745015372123, -0.13961379313958855, 0.08274122450071261, 0.051390500598344484, 0.18802773614390558, 0.009588204895560982, 0.11526463416350238, 0.2457861547131373, 0.15357519573915532, 0.05124167083105182, 0.1327300870393896, -0.18471412115706867, -0.09648714162127561, -0.21411074935889043, -0.15964114680267996, -0.20511132038096672, 0.10163297834845275, -0.07564143062434199, -0.14089075881330407, 0.4455127327687287, 0.09010139927894127, 0.16276756841532825, -0.03851831914121363, 0.25779619187257496, 0.14489837515093543, 0.07465975859570277, 0.049183601615246104, 0.2740077386774561, 0.2506198547330505, 0.10852642386306484, -0.355912232055904, 0.00493524589051469, -0.03862804256403083] |
712.2377 | High-order perturbative expansions of multi-parameter Phi^4 quantum
field theories | We present high-order pertubative expansions of multi-parameter Phi^4 quantum
field theories with an N-component fundamental field, containing up to
4th-order polynomials of the field. Multi-parameter Phi^4 theories generalize
the simplest O(N)-symmetric Phi^4 theories, and describe more complicated
symmetry breaking patterns. These notes collect several high-order perturbative
series of physically interesting multi-parameter Phi^4 theories, to five or six
loops. We consider the O(M)XO(N)-symmetric Phi^4 model, the so-called MN model,
and a spin-density-wave Phi^4 model containing five quartic terms.
| hep-th cond-mat.stat-mech | we present highorder pertubative expansions of multiparameter phi4 quantum field theories with an ncomponent fundamental field containing up to 4thorder polynomials of the field multiparameter phi4 theories generalize the simplest onsymmetric phi4 theories and describe more complicated symmetry breaking patterns these notes collect several highorder perturbative series of physically interesting multiparameter phi4 theories to five or six loops we consider the omxonsymmetric phi4 model the socalled mn model and a spindensitywave phi4 model containing five quartic terms | [['we', 'present', 'highorder', 'pertubative', 'expansions', 'of', 'multiparameter', 'phi4', 'quantum', 'field', 'theories', 'with', 'an', 'ncomponent', 'fundamental', 'field', 'containing', 'up', 'to', '4thorder', 'polynomials', 'of', 'the', 'field', 'multiparameter', 'phi4', 'theories', 'generalize', 'the', 'simplest', 'onsymmetric', 'phi4', 'theories', 'and', 'describe', 'more', 'complicated', 'symmetry', 'breaking', 'patterns', 'these', 'notes', 'collect', 'several', 'highorder', 'perturbative', 'series', 'of', 'physically', 'interesting', 'multiparameter', 'phi4', 'theories', 'to', 'five', 'or', 'six', 'loops', 'we', 'consider', 'the', 'omxonsymmetric', 'phi4', 'model', 'the', 'socalled', 'mn', 'model', 'and', 'a', 'spindensitywave', 'phi4', 'model', 'containing', 'five', 'quartic', 'terms']] | [-0.19843848856429472, 0.16603070288750277, -0.008235021384040775, 0.11260972748584065, -0.12738096231815257, -0.22634250993570804, -0.0863927794730683, 0.2888617584800446, -0.16181239834986627, -0.22726266764986672, 0.029790114280522653, -0.2806208405741735, -0.23844298758654317, 0.13394542985693797, 0.04190188440445222, 0.04621702660561392, -0.07000462466997928, 0.030214755158675343, -0.07196086456410979, -0.31465959546805705, 0.3196564076688925, -0.05771089487519164, 0.17639151625457758, -0.022390948458403153, 0.03325697681008789, -0.00043429875145911386, 0.027025278902759676, -0.030105899088084698, -0.19272058681388826, 0.15073600032146237, 0.2070833720867277, -0.0373224110685681, 0.18632819484551683, -0.44935298732506407, -0.2624845136888325, 0.09344872904291965, 0.18662228763691688, 0.17536523060775117, 0.03524081802549374, -0.3004294931766038, -0.016542938914713694, -0.20342889349098855, -0.1999918954250844, -0.18096464708153354, -0.047835699039033466, -0.059541130462955484, -0.2707701306667571, 0.09528091981222755, -0.0472375801029174, 0.15653482942204727, -0.01586654111375346, -0.06590411194146757, 0.016724614086438362, 0.004049066824863027, 0.07426019795974226, 0.02266066728502904, 0.058975052984590694, -0.1826604649939231, -0.24876364244540272, 0.45420187731322487, -0.09613994201706526, -0.20636848392467455, 0.13978410684993783, -0.18185216744773483, -0.20361321948860822, 0.09862088603212645, 0.09529290361158353, 0.15906449289085636, -0.13593872838751658, 0.22294758323206273, -0.0036488954449994614, 0.16090633613547603, 0.09179189534992666, -0.014646477617421433, 0.20728847260684952, 0.05676162641152347, -0.08734776419097263, 0.18008332042709776, 0.04415156944857077, -0.24785341426583105, -0.40132673775875255, -0.06751519792688716, -0.05729193382247008, 0.0562090626795237, -0.19265378182593085, -0.2936238787859972, 0.4211141315999588, 0.16748752286902777, 0.11305238213390112, 0.059573146931238864, 0.1734289588394428, 0.14120073938791297, 0.05924925489939357, -0.026186270902766602, 0.15506698279396483, 0.20589215646644957, 0.0752297108380222, -0.17570238826355258, -0.19860127376466008, 0.20202595306756466] |
712.2378 | The Wickstead Problem | In 1977 Anthony Wickstead raised the question of the conditions for all band
preserving linear operators to be order bounded in a vector lattice. This
article overviews the main ideas and results on the Wickstead problem and its
variations, focusing primarily on the case of band preserving operators in a
universally complete vector lattice.
| math.FA | in 1977 anthony wickstead raised the question of the conditions for all band preserving linear operators to be order bounded in a vector lattice this article overviews the main ideas and results on the wickstead problem and its variations focusing primarily on the case of band preserving operators in a universally complete vector lattice | [['in', '1977', 'anthony', 'wickstead', 'raised', 'the', 'question', 'of', 'the', 'conditions', 'for', 'all', 'band', 'preserving', 'linear', 'operators', 'to', 'be', 'order', 'bounded', 'in', 'a', 'vector', 'lattice', 'this', 'article', 'overviews', 'the', 'main', 'ideas', 'and', 'results', 'on', 'the', 'wickstead', 'problem', 'and', 'its', 'variations', 'focusing', 'primarily', 'on', 'the', 'case', 'of', 'band', 'preserving', 'operators', 'in', 'a', 'universally', 'complete', 'vector', 'lattice']] | [-0.12835485886575448, 0.09703046351636725, 0.004545858522221722, 0.03792225477001113, -0.08865255644734672, -0.06100225176972648, 0.062407624876531946, 0.33836200096885916, -0.2948345506770743, -0.22113798882950236, 0.18063083003249225, -0.28991309080824806, -0.15324519202113152, 0.16896186741413893, -0.11532388006647427, 0.07221853001694264, 0.023180938567276353, 0.0009703041847657274, -0.08849379834201601, -0.2965593192105492, 0.38454113390158723, 0.02558739113414453, 0.24516017702666837, 0.158060495370861, 0.08246931383446618, 0.04880141759187811, -0.0582756582406108, -0.008290109353967838, -0.137094048382197, 0.15858088255885783, 0.23632964095169748, 0.07053300588288242, 0.25126451064177135, -0.3724103774185534, -0.1773358661405466, 0.10195691724031887, 0.06962811489830967, 0.08094978353215589, 0.009396899125055858, -0.286364074222985, 0.1095083196543985, -0.09364791015266544, -0.11064779844686941, -0.012487915939547949, 0.03687308690752144, -0.03034244193178084, -0.23465904971170756, 0.018632079440134543, 0.1713037679178847, 0.10795037601901977, -0.11334073157437767, -0.10347971659912555, -0.005440328304690344, 0.06805867588802895, 0.02291042954419498, 0.07800087362907275, 0.03744769202441805, -0.09523172527810352, -0.13713360157001903, 0.42282866783164164, -0.07445442620707952, -0.21295845556866239, 0.13296834833023172, -0.1517253729549271, -0.1496842688906731, 0.03692716510138578, 0.17556722914041192, 0.13365102504138593, -0.11010439656847329, 0.17697499997491292, -0.08077731963109087, 0.11878365043688703, 0.06555631744709832, 0.05208611789297451, 0.1409640129379652, 0.10644018763883246, 0.10323034916762952, 0.09894466341723239, 0.03544400252091388, -0.08578518454709815, -0.275407868075288, -0.11470121103856298, -0.15592735417885706, 0.009246766912164512, -0.026687769841777884, -0.1521864944499814, 0.4639694929398872, 0.09456376070846562, 0.21067824921812173, 0.027454023352927633, 0.21556862228101603, 0.12512204906454794, 0.026800563515819335, 0.08039943589311507, 0.19366297488428513, 0.183827786464934, 0.1290052854111073, -0.19476034387049299, -0.02784101353716795, 0.11936291184840095] |
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