id float64 706 1.8k | title stringlengths 1 343 | abstract stringlengths 6 6.09k | categories stringlengths 5 125 | processed_abstract stringlengths 2 5.96k | tokenized_abstract stringlengths 8 8.74k | centroid stringlengths 2.1k 2.17k |
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711.0108 | On the Exact Matrix Representation for Transverse Magnetic Multiple
Scattering by an Infinite Grating of Insulating Dielectric Circular Cylinders
at Oblique Incidence | A computational algorithm for the exact equations representing the scattering
coefficients of an infinite grating of insulating dielectric circular cylinders
associated with obliquely incident vertically polarized plane electromagnetic
waves is generated by matrix methods, and the solution for the scattering
coefficients is acquired by a matrix inversion procedure.
| math-ph math.MP | a computational algorithm for the exact equations representing the scattering coefficients of an infinite grating of insulating dielectric circular cylinders associated with obliquely incident vertically polarized plane electromagnetic waves is generated by matrix methods and the solution for the scattering coefficients is acquired by a matrix inversion procedure | [['a', 'computational', 'algorithm', 'for', 'the', 'exact', 'equations', 'representing', 'the', 'scattering', 'coefficients', 'of', 'an', 'infinite', 'grating', 'of', 'insulating', 'dielectric', 'circular', 'cylinders', 'associated', 'with', 'obliquely', 'incident', 'vertically', 'polarized', 'plane', 'electromagnetic', 'waves', 'is', 'generated', 'by', 'matrix', 'methods', 'and', 'the', 'solution', 'for', 'the', 'scattering', 'coefficients', 'is', 'acquired', 'by', 'a', 'matrix', 'inversion', 'procedure']] | [-0.17763060975509384, 0.17778802949548358, -0.06524163321591914, -0.022975622128190782, -0.09198625987240423, -0.11373394423086818, -0.02471161012848218, 0.4461408806964755, -0.28993293196739006, -0.2322138458257541, 0.08326895719316478, -0.34061472412819666, -0.15735420955267423, 0.19239898313147327, 0.08831206220202148, 0.12949498622037936, 0.05220490500020484, -0.050487226728970803, -0.08960032740530248, -0.14849394800451896, 0.2816897066659294, 0.020267180108930916, 0.267611819319427, -0.010610501592357954, 0.16505790296165893, 0.11449044880767663, -0.013965049797358612, 0.0019840108094892153, -0.07720842161991943, 0.11499823060391161, 0.26878556694524985, -0.012550829895189963, 0.14754942070188312, -0.4877238047774881, -0.16690003050515165, -0.01517810459578565, 0.13593246838233122, 0.13807506576025239, -0.06954513700475218, -0.28925403316194814, 0.007046128244837746, -0.09509579173754901, -0.22350599847656363, 0.01775020410423167, 0.03423715243116021, 0.011910291466241082, -0.31634031393332407, 0.045468927322266005, 0.035368985399448626, 0.04210526325429479, -0.10542037431150675, -0.0873060088197235, -0.018963494570925832, 0.013667371725508323, 0.06909402097517159, -0.012837435817345977, 0.11406686366535723, -0.1094851020607166, -0.08525284937544104, 0.3490573755504253, -0.056827285462835185, -0.25026597301863757, 0.06239712216483895, -0.13982032769126818, 0.04835282861798381, 0.314304984252279, 0.18352553632576019, 0.15408866781702577, -0.11490279502080132, 0.13524691931161215, -0.11205779438993584, 0.16573304236711314, 0.17960192499837527, -0.07520634136744775, 0.21737645203635717, 0.10316284101766844, 0.050115276574312397, 0.16807249591996273, -0.061466367974693036, 0.01540807894828807, -0.24545371692511253, -0.11383274931722553, -0.22762395334090493, 0.038784701648789145, -0.1427361632844016, -0.2448585075714315, 0.34884119778871536, 0.040435839347386114, 0.1334326037952754, 0.007388999336399138, 0.35875250461200875, 0.20388616408066204, 0.012461258263404792, 0.0619990609169084, 0.20647203153930604, 0.27318692050660803, 0.08313612646694916, -0.2532815838737103, 0.046091689281941704, 0.11254188752112289] |
711.0109 | Genetic simulation of quantum dynamics by the principle of quantum state
selection | The simple genetic algorithm is proposed for the simulation of quantum many
body dynamics. It uses the selection of entangled quantum states and has the
inbuilt absolute decoherence that comes from the limitation of classical
memory. It utilizes the "pre-quantum field" in the form of interacting between
the different "quantum worlds". It is shown how this selection model can be
applied to the problem of molecular association in chemical reactions.
| quant-ph | the simple genetic algorithm is proposed for the simulation of quantum many body dynamics it uses the selection of entangled quantum states and has the inbuilt absolute decoherence that comes from the limitation of classical memory it utilizes the prequantum field in the form of interacting between the different quantum worlds it is shown how this selection model can be applied to the problem of molecular association in chemical reactions | [['the', 'simple', 'genetic', 'algorithm', 'is', 'proposed', 'for', 'the', 'simulation', 'of', 'quantum', 'many', 'body', 'dynamics', 'it', 'uses', 'the', 'selection', 'of', 'entangled', 'quantum', 'states', 'and', 'has', 'the', 'inbuilt', 'absolute', 'decoherence', 'that', 'comes', 'from', 'the', 'limitation', 'of', 'classical', 'memory', 'it', 'utilizes', 'the', 'prequantum', 'field', 'in', 'the', 'form', 'of', 'interacting', 'between', 'the', 'different', 'quantum', 'worlds', 'it', 'is', 'shown', 'how', 'this', 'selection', 'model', 'can', 'be', 'applied', 'to', 'the', 'problem', 'of', 'molecular', 'association', 'in', 'chemical', 'reactions']] | [-0.09817520515560837, 0.12672105182095297, -0.13845196793388043, 0.0623884189025765, -0.04244243542530707, -0.14397428347063915, 0.03350978746810662, 0.3483126598809447, -0.3074133221459176, -0.28856382093259264, 0.016240107352911894, -0.2429615271410772, -0.17414078493602575, 0.19087459324925607, -0.0392479609431965, 0.07562628220766783, 0.05945894161039697, 0.06673077140003443, 0.033216871131610655, -0.23957214286284786, 0.29852209600753016, 0.06853305416214946, 0.3053726743374552, 0.020833807179172124, 0.1368792357921068, 0.00806468634733132, 0.010951312501648706, -0.010158882569521665, -0.04251129721742473, 0.13361779011070862, 0.24906273993131306, 0.17221552839369647, 0.2743020542764238, -0.4132101058959961, -0.23760468255994574, 0.10331596199456336, 0.1170976658384981, 0.17124823104324086, -0.04584771089388856, -0.260910908252533, 0.043802347553095644, -0.16142532743064553, -0.08272106050114547, -0.061962084641813166, 0.000632267866084086, -0.02226691377748336, -0.2366386716919286, 0.05852144920666303, 0.035243202027465614, 0.03183439280837774, -0.011077648966706224, -0.09814172160944769, 0.012715539509164436, 0.15738076921469266, -0.0052899564832582, 0.02811971917482359, 0.16745855436394258, -0.11323187147333685, -0.16856366274878382, 0.41094190342617887, -0.028307340064618203, -0.2393885591732604, 0.24298479264335973, -0.0771084323924567, -0.1177688522430669, 0.11722066242780005, 0.12992953957457629, 0.08622103466851903, -0.16879694215687258, 0.12342294889552119, -0.035202843975275754, 0.15185309672462088, 0.007499221153557301, 0.041374744671130816, 0.18574846188670824, 0.1895314572645085, 0.05181622776518842, 0.16933501514306823, -0.10676662193145603, -0.21375084979725736, -0.276254608056375, -0.18519710460677744, -0.22656317334622145, 0.07829326211607882, -0.06052875057108135, -0.1322538829786936, 0.38933858563790896, 0.19029379032934748, 0.12423274700662919, -0.019330167387878256, 0.299162331752346, 0.10617094304678695, 0.11671117588079401, 0.04366587357196425, 0.2525238573750747, 0.16947192351466844, 0.07434568443007135, -0.3008049376807841, 0.09856966231350921, 0.007029174261593393] |
711.011 | Phase Transitions and Computational Difficulty in Random Constraint
Satisfaction Problems | We review the understanding of the random constraint satisfaction problems,
focusing on the q-coloring of large random graphs, that has been achieved using
the cavity method of the physicists. We also discuss the properties of the
phase diagram in temperature, the connections with the glass transition
phenomenology in physics, and the related algorithmic issues.
| cs.CC cond-mat.stat-mech | we review the understanding of the random constraint satisfaction problems focusing on the qcoloring of large random graphs that has been achieved using the cavity method of the physicists we also discuss the properties of the phase diagram in temperature the connections with the glass transition phenomenology in physics and the related algorithmic issues | [['we', 'review', 'the', 'understanding', 'of', 'the', 'random', 'constraint', 'satisfaction', 'problems', 'focusing', 'on', 'the', 'qcoloring', 'of', 'large', 'random', 'graphs', 'that', 'has', 'been', 'achieved', 'using', 'the', 'cavity', 'method', 'of', 'the', 'physicists', 'we', 'also', 'discuss', 'the', 'properties', 'of', 'the', 'phase', 'diagram', 'in', 'temperature', 'the', 'connections', 'with', 'the', 'glass', 'transition', 'phenomenology', 'in', 'physics', 'and', 'the', 'related', 'algorithmic', 'issues']] | [-0.11448697828584248, 0.14511769325299947, -0.09700974666823943, 0.04431061524276932, -0.08373278517414022, -0.10353916383313912, 0.07644104235158819, 0.36555825960305, -0.253756923256097, -0.3219430388675796, 0.13532648354130625, -0.2882052586948568, -0.1703520743176341, 0.1566013237806382, -0.039244407356751186, 0.07634961018683734, 0.01564245424405844, 0.0331683950326233, -0.11720032868820622, -0.23852446992640142, 0.3222277095472371, 0.031606061970470126, 0.3001109629317566, 0.135163675070847, 0.07718302999381665, -0.009931914801536887, -0.008139383875661425, 0.06630872835025743, -0.1857097205600574, 0.08047944224543041, 0.20957823054157887, 0.1396056209233831, 0.27741247996756874, -0.41094509374212335, -0.2199342122853354, 0.11287734115548018, 0.09076938997195275, 0.10445540130172891, -0.0889142300282536, -0.27714783715567104, 0.019144857026360654, -0.11417247924125856, -0.11790141295016467, -0.0296035118797725, -0.03053396578050322, 0.05000161965964017, -0.1611238100083062, 0.012741051057539018, 0.08644002575979189, 0.06450193414154153, 0.0036331667495822467, -0.14562997133988473, 0.05010312427421687, 0.11925863169340624, 0.05413349555736339, 0.0039694468594259685, 0.08505527112908938, -0.21748015510470228, -0.1693937271764433, 0.41492225388409915, -0.01637947993973891, -0.12804067997192894, 0.16354303632828374, -0.158233226345921, -0.19871921494120248, 0.09367553802655527, 0.17885498079919704, 0.10539330051418531, -0.12159226174224858, 0.13522566310712136, -0.033467926981824415, 0.13011947462197254, 0.0056766340578043905, 0.052316277072316515, 0.2056217093227638, 0.25381697352147764, 0.008239623598961366, 0.20549106077049617, -0.04561187746865606, -0.135623418122392, -0.250561544775135, -0.09413515184833496, -0.17940282340471944, -0.01816910732951429, -0.1277611355932701, -0.16399758564377273, 0.455551756200967, 0.19934149813424382, 0.17069221098251916, 0.011061240970674489, 0.23755957176736384, 0.10489221450148357, 0.02771066352552562, 0.04406771070703312, 0.25932897599758925, 0.20645883993280154, 0.13921406165765668, -0.23965751110679573, 0.06823766167724023, 0.08670796481547532] |
711.0111 | Continuity of CP-semigroups in the point-strong operator topology | We prove that if $\{\phi_t\}_{t \geq 0}$ is a CP-semigroup acting on a von
Neumann algebra $M \subseteq B(H)$, then for every $A\in M$ and $\xi \in H$,
the map $t \mapsto \phi_t(A)\xi$ is norm-continuous. We discuss the
implications of this fact to the existence of dilations of CP-semigroups to
semigroups of endomorphisms.
| math.OA | we prove that if phi_t_t geq 0 is a cpsemigroup acting on a von neumann algebra m subseteq bh then for every ain m and xi in h the map t mapsto phi_taxi is normcontinuous we discuss the implications of this fact to the existence of dilations of cpsemigroups to semigroups of endomorphisms | [['we', 'prove', 'that', 'if', 'phi_t_t', 'geq', '0', 'is', 'a', 'cpsemigroup', 'acting', 'on', 'a', 'von', 'neumann', 'algebra', 'm', 'subseteq', 'bh', 'then', 'for', 'every', 'ain', 'm', 'and', 'xi', 'in', 'h', 'the', 'map', 't', 'mapsto', 'phi_taxi', 'is', 'normcontinuous', 'we', 'discuss', 'the', 'implications', 'of', 'this', 'fact', 'to', 'the', 'existence', 'of', 'dilations', 'of', 'cpsemigroups', 'to', 'semigroups', 'of', 'endomorphisms']] | [-0.1881624409454126, 0.14444455507156603, -0.04641974265413249, -0.009036248154919959, -0.05979953267995049, -0.163033181454475, -0.017468159598316633, 0.3620247975968774, -0.3511811893652467, -0.0878330501088617, 0.11273959011305124, -0.3369410952334018, -0.08530748880230914, 0.19433451163600765, -0.10287505333476207, -0.014161627620969917, 0.05252463580793975, 0.1251140770447605, -0.14901984150192754, -0.21382638605941526, 0.3921828848474166, -0.06174245197325945, 0.10757030137613707, 0.06521354792137429, 0.13486518947334558, -0.008073707663581944, 0.024495618965695885, -0.02687230256303926, -0.23662979152654504, 0.017913193213662096, 0.22589900519917994, 0.15886998684693346, 0.31082364938714924, -0.2984061744126866, -0.11961760399315287, 0.2729738622575122, 0.12248432521215256, -0.09905384703740186, -0.020962826284470364, -0.27439010409893944, 0.17019347105102212, -0.15808743881244286, -0.1136098635364689, -0.027334994472124997, 0.22529452860209287, 0.004946583302180264, -0.36770034690990167, 0.037752195366420875, 0.20105845577941805, 0.060474461022143565, -0.057154163864313386, -0.09262924705285068, -0.12932516742205502, 0.05669305742234357, -0.056373618588801105, 0.07961924550324387, 0.1050667779453957, -0.006203305939504621, -0.08271716309565247, 0.3334256660777564, -0.0798050443842715, -0.21258452246148213, 0.08966357111200399, -0.26727523873834047, -0.19891052503211826, 0.0021124632992580825, 0.040673436779601904, 0.1708197158158702, 0.006906146854710053, 0.2897854887631576, -0.15035119221783153, 0.11966089100814332, 0.08145125120805174, -0.0018875134980999957, 0.10606496742762186, 0.07659695836185824, 0.1363017104073044, 0.12962963481378906, 0.04141963959452422, 0.07519639316288863, -0.4166557584323135, -0.22196037175279915, -0.16056105688068212, 0.21913700244005987, -0.08738599363320698, -0.13668429592222558, 0.27049720241669933, 0.14437108798701243, 0.21744413586223826, 0.11471534231860264, 0.13438038034912417, 0.07727241130801392, 0.011413014146919344, 0.13407508590642145, 0.0528767003858115, 0.24613882772916673, -0.003208048386024494, -0.20755411897256387, -0.041010524328871104, 0.21642444857998805] |
711.0112 | Photon position eigenvectors lead to complete photon wave mechanics | We have recently constructed a photon position operator with commuting
components. This was long thought to be impossible, but our position
eigenvectors have a vortex structure like twisted light. Thus they are not
spherically symmetric and the position operator does not transform as a vector,
so that previous non-existence arguments do not apply. We find two classes of
position eigenvectors and obtain photon wave functions by projection onto the
bases of position eigenkets that they define, following the usual rules of
quantum mechanics. The hermitian position operator, r0, leads to a
Landau-Peierls wave function, while field-like eigenvectors of the nonhermitian
position operator and its adjoint lead to a biorthonormal basis. These two
bases are equivalent in the sense that they are related by a similarity
transformation. The eigenvectors of the nonhermitian position operators lead to
a field-potential wave function pair. These field-like positive frequency wave
functions satisfy Maxwell's equations, and thus justify the supposition that
MEs describe single photon wave mechanics. The expectation value of the number
operator is photon density with undetected photons integrated over, consistent
with Feynman's conclusion that the density of non-interacting particles can be
interpreted as probability density.
| quant-ph | we have recently constructed a photon position operator with commuting components this was long thought to be impossible but our position eigenvectors have a vortex structure like twisted light thus they are not spherically symmetric and the position operator does not transform as a vector so that previous nonexistence arguments do not apply we find two classes of position eigenvectors and obtain photon wave functions by projection onto the bases of position eigenkets that they define following the usual rules of quantum mechanics the hermitian position operator r0 leads to a landaupeierls wave function while fieldlike eigenvectors of the nonhermitian position operator and its adjoint lead to a biorthonormal basis these two bases are equivalent in the sense that they are related by a similarity transformation the eigenvectors of the nonhermitian position operators lead to a fieldpotential wave function pair these fieldlike positive frequency wave functions satisfy maxwells equations and thus justify the supposition that mes describe single photon wave mechanics the expectation value of the number operator is photon density with undetected photons integrated over consistent with feynmans conclusion that the density of noninteracting particles can be interpreted as probability density | [['we', 'have', 'recently', 'constructed', 'a', 'photon', 'position', 'operator', 'with', 'commuting', 'components', 'this', 'was', 'long', 'thought', 'to', 'be', 'impossible', 'but', 'our', 'position', 'eigenvectors', 'have', 'a', 'vortex', 'structure', 'like', 'twisted', 'light', 'thus', 'they', 'are', 'not', 'spherically', 'symmetric', 'and', 'the', 'position', 'operator', 'does', 'not', 'transform', 'as', 'a', 'vector', 'so', 'that', 'previous', 'nonexistence', 'arguments', 'do', 'not', 'apply', 'we', 'find', 'two', 'classes', 'of', 'position', 'eigenvectors', 'and', 'obtain', 'photon', 'wave', 'functions', 'by', 'projection', 'onto', 'the', 'bases', 'of', 'position', 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'photons', 'integrated', 'over', 'consistent', 'with', 'feynmans', 'conclusion', 'that', 'the', 'density', 'of', 'noninteracting', 'particles', 'can', 'be', 'interpreted', 'as', 'probability', 'density']] | [-0.1261177393677523, 0.16944851610605838, -0.10290216817520559, 0.07444944846611179, -0.10014604359184887, -0.13205261145776603, 0.0031941038972339206, 0.3923554293966542, -0.24221855282363927, -0.22778220676506558, 0.059246387749226415, -0.2847531760392788, -0.1326461521530291, 0.131239203282045, -0.01883365193498321, 0.07580240778315783, 0.06603701246785931, 0.05792874431790551, -0.12060124904201075, -0.15595608748723558, 0.33820208444740274, 0.019645870834816986, 0.2538864941125212, 0.007688090476828317, 0.0985199058559374, 0.03048942278837785, 0.0011900971197367956, -0.012094976534475185, -0.05473124605703106, 0.07794825605136187, 0.24127607612172142, 0.11633360825908312, 0.23093817319022492, -0.42367604484995053, -0.16410608894754355, 0.1398699668837556, 0.14716712126028142, 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711.0113 | VLT observations of Compact Central Objects | We present the first results of our VLT observation campaign of the Central
Compact Objects (CCOs) in SNRs RX J085201.4-461753 (Vela Jr), 1E 1648-5051 (RCW
103) and RX J171328.4-394955 (G347.3-0.5). For Vela Jr., we found that the
source is embedded in a compact optical nebulosity, possibly a bow-shock or a
photo-ionization nebula, and we identified a candidate IR counterpart to the
CCO. For RCW 103, we found no convincing evidence neither for 6 hrs IR
modulation nor for variability on any time scale from the proposed counterpart,
as well as for the other candidates close to the revised Chandra position. For
G347.3-0.5, we identified few possible IR counterparts but none of them is
apparently associated with the CCO.
| astro-ph | we present the first results of our vlt observation campaign of the central compact objects ccos in snrs rx j0852014461753 vela jr 1e 16485051 rcw 103 and rx j1713284394955 g347305 for vela jr we found that the source is embedded in a compact optical nebulosity possibly a bowshock or a photoionization nebula and we identified a candidate ir counterpart to the cco for rcw 103 we found no convincing evidence neither for 6 hrs ir modulation nor for variability on any time scale from the proposed counterpart as well as for the other candidates close to the revised chandra position for g347305 we identified few possible ir counterparts but none of them is apparently associated with the cco | [['we', 'present', 'the', 'first', 'results', 'of', 'our', 'vlt', 'observation', 'campaign', 'of', 'the', 'central', 'compact', 'objects', 'ccos', 'in', 'snrs', 'rx', 'j0852014461753', 'vela', 'jr', '1e', '16485051', 'rcw', '103', 'and', 'rx', 'j1713284394955', 'g347305', 'for', 'vela', 'jr', 'we', 'found', 'that', 'the', 'source', 'is', 'embedded', 'in', 'a', 'compact', 'optical', 'nebulosity', 'possibly', 'a', 'bowshock', 'or', 'a', 'photoionization', 'nebula', 'and', 'we', 'identified', 'a', 'candidate', 'ir', 'counterpart', 'to', 'the', 'cco', 'for', 'rcw', '103', 'we', 'found', 'no', 'convincing', 'evidence', 'neither', 'for', '6', 'hrs', 'ir', 'modulation', 'nor', 'for', 'variability', 'on', 'any', 'time', 'scale', 'from', 'the', 'proposed', 'counterpart', 'as', 'well', 'as', 'for', 'the', 'other', 'candidates', 'close', 'to', 'the', 'revised', 'chandra', 'position', 'for', 'g347305', 'we', 'identified', 'few', 'possible', 'ir', 'counterparts', 'but', 'none', 'of', 'them', 'is', 'apparently', 'associated', 'with', 'the', 'cco']] | [-0.10193337355740369, -0.02974563060814272, -0.038858259064347846, 0.11944648376666009, -0.16097624922252218, -0.12975589320589992, 0.11273712684886288, 0.4867475282238877, -0.14856159692711157, -0.2961778494326965, 0.13059240383015056, -0.2860177355049097, -0.0473257336380851, 0.21883444185166256, -0.03409019250260747, -0.07783070639099764, 0.07076289621384248, -0.02232936695218086, -0.01324873693621434, -0.2134892307707797, 0.23417844638613095, 0.10417566744246237, 0.10253061638416155, -0.017242186026566703, 0.08824262883838103, -0.09014375153928995, -0.035092195674129155, -0.02204715074242457, -0.06069010875786341, 0.0479576981909897, 0.21271221920361985, 0.12305654466617852, 0.14202463762308268, -0.31212009219047815, -0.23639905907861564, 0.08930222485214472, 0.17400992101908702, -0.031195994053521883, -0.06062530216902656, -0.32221205340617376, 0.09252989969985641, -0.23597466485655827, -0.214651625516379, 0.06653775627846303, 0.10805739159695804, 0.009141587348573881, -0.1997005038206344, 0.10429814974979862, 0.009820594923044353, 0.038402511867816035, -0.17733688086230795, -0.13037085986250768, 0.027337881938918777, 0.035867648245766756, 0.00122160315108688, 0.10423073886043352, 0.0727438355917516, -0.14587165543647565, -0.13411353023965722, 0.3820737280518464, -0.03852518811902922, -0.009693300391992798, 0.2838712392901273, -0.22351398821515234, -0.25548351129678926, 0.1870739747851115, 0.04460830597773842, 0.1200691835468878, -0.14406175355872383, 0.01888900247665689, -0.06750790858236344, 0.22483532825160935, 0.02962084755949352, 0.1266386848013929, 0.27889727346761073, 0.09941254153685725, -0.026186044295520888, 0.18218466784734197, -0.2894525565498043, 0.003363293279266066, -0.2835146426911587, -0.1269129199284615, -0.18600616177301044, 0.12422088211308659, -0.09044009928930673, -0.10641931056895333, 0.2928134319331983, 0.07532892991667209, 0.171661310772533, -0.012376548103866694, 0.25947305827361083, 0.07202722455638097, 0.08651137165725231, 0.18635266508259204, 0.30975523707659347, 0.13737810880310186, 0.09939594643352473, -0.18075818917309136, 0.0631076876114568, 0.004366714460775256] |
711.0114 | Geometric Spanners With Small Chromatic Number | Given an integer $k \geq 2$, we consider the problem of computing the
smallest real number $t(k)$ such that for each set $P$ of points in the plane,
there exists a $t(k)$-spanner for $P$ that has chromatic number at most $k$. We
prove that $t(2) = 3$, $t(3) = 2$, $t(4) = \sqrt{2}$, and give upper and lower
bounds on $t(k)$ for $k>4$. We also show that for any $\epsilon >0$, there
exists a $(1+\epsilon)t(k)$-spanner for $P$ that has $O(|P|)$ edges and
chromatic number at most $k$. Finally, we consider an on-line variant of the
problem where the points of $P$ are given one after another, and the color of a
point must be assigned at the moment the point is given. In this setting, we
prove that $t(2) = 3$, $t(3) = 1+ \sqrt{3}$, $t(4) = 1+ \sqrt{2}$, and give
upper and lower bounds on $t(k)$ for $k>4$.
| cs.CG | given an integer k geq 2 we consider the problem of computing the smallest real number tk such that for each set p of points in the plane there exists a tkspanner for p that has chromatic number at most k we prove that t2 3 t3 2 t4 sqrt2 and give upper and lower bounds on tk for k4 we also show that for any epsilon 0 there exists a 1epsilontkspanner for p that has op edges and chromatic number at most k finally we consider an online variant of the problem where the points of p are given one after another and the color of a point must be assigned at the moment the point is given in this setting we prove that t2 3 t3 1 sqrt3 t4 1 sqrt2 and give upper and lower bounds on tk for k4 | [['given', 'an', 'integer', 'k', 'geq', '2', 'we', 'consider', 'the', 'problem', 'of', 'computing', 'the', 'smallest', 'real', 'number', 'tk', 'such', 'that', 'for', 'each', 'set', 'p', 'of', 'points', 'in', 'the', 'plane', 'there', 'exists', 'a', 'tkspanner', 'for', 'p', 'that', 'has', 'chromatic', 'number', 'at', 'most', 'k', 'we', 'prove', 'that', 't2', '3', 't3', '2', 't4', 'sqrt2', 'and', 'give', 'upper', 'and', 'lower', 'bounds', 'on', 'tk', 'for', 'k4', 'we', 'also', 'show', 'that', 'for', 'any', 'epsilon', '0', 'there', 'exists', 'a', '1epsilontkspanner', 'for', 'p', 'that', 'has', 'op', 'edges', 'and', 'chromatic', 'number', 'at', 'most', 'k', 'finally', 'we', 'consider', 'an', 'online', 'variant', 'of', 'the', 'problem', 'where', 'the', 'points', 'of', 'p', 'are', 'given', 'one', 'after', 'another', 'and', 'the', 'color', 'of', 'a', 'point', 'must', 'be', 'assigned', 'at', 'the', 'moment', 'the', 'point', 'is', 'given', 'in', 'this', 'setting', 'we', 'prove', 'that', 't2', '3', 't3', '1', 'sqrt3', 't4', '1', 'sqrt2', 'and', 'give', 'upper', 'and', 'lower', 'bounds', 'on', 'tk', 'for', 'k4']] | [-0.19762520754960836, 0.15379210109744015, -0.04345275724557697, 0.027393280673798516, 0.007452096595224125, -0.19932803718690226, 0.08253432212418922, 0.33566474001722557, -0.23201042700539085, -0.291091118681621, 0.09376734802796644, -0.33210770064528955, -0.12591234263006254, 0.20255729536268305, -0.029561266776980132, -0.030168376527792702, -0.03728187618387453, 0.15328536108004073, -0.050554734948652646, -0.29863206596041086, 0.2722160895057815, -0.07917957236422292, 0.14137754811251418, 0.08336490511246925, 0.07150290048175907, 0.012230611924768974, 0.061789369851297946, 0.004034003150378559, -0.23352923784691904, 0.025676584999070415, 0.251012964999792, 0.13653654213136074, 0.2214815187555282, -0.3617031553443125, -0.14078928077269795, 0.19026835014422736, 0.13210120263793473, 0.013239466823003393, -0.02451129655142361, -0.1262178336673066, 0.20842824200273935, -0.06379145315141542, -0.11752556376357345, -0.014063763154789488, 0.15601784354802353, -0.052111985558208, -0.297261866794549, 0.02793921124176056, 0.12454959797402117, 0.08388143692269644, -0.023575184589370766, -0.2635814794487855, 0.00593632974675097, 0.08374950915892074, 0.00869518838466165, 0.10901671209445236, -0.0006759685450993108, -0.12740229829610822, -0.11873522269744294, 0.35222791742982595, -0.07370583346346393, -0.14224754326732447, 0.12226065018062368, -0.17527877963445287, -0.18294031746398182, 0.14332165571048538, 0.11119562708475489, 0.16091733683455497, -0.009942004358039257, 0.16850623382083701, -0.11507235275885315, 0.1578310406159986, 0.11376532200552153, 0.004497563261670847, 0.10106201129073793, 0.10112031911176148, 0.18399979626257898, 0.13540625433744666, -0.11313067231631131, 0.03095644696595821, -0.3622445349403201, -0.15000833136009725, -0.21904408257596644, 0.10843082456948593, -0.17071390408194453, -0.11475289460264992, 0.2987994629599101, 0.09010411664539723, 0.27807477470619457, 0.1221957262935685, 0.2230494994825373, 0.15412305048033215, -0.013308302081579753, 0.183436954517829, 0.12545891402038276, 0.05977445300371247, -0.00019056758189454993, -0.17936734939390359, 0.002528188522271019, 0.09398815768988843] |
711.0115 | Manifestly Gauge-Invariant General Relativistic Perturbation Theory: I.
Foundations | Linear cosmological perturbation theory is pivotal to a theoretical
understanding of current cosmological experimental data provided e.g. by cosmic
microwave anisotropy probes. A key issue in that theory is to extract the gauge
invariant degrees of freedom which allow unambiguous comparison between theory
and experiment. When one goes beyond first (linear) order, the task of writing
the Einstein equations expanded to n'th order in terms of quantities that are
gauge invariant up to terms of higher orders becomes highly non-trivial and
cumbersome. This fact has prevented progress for instance on the issue of the
stability of linear perturbation theory and is a subject of current debate in
the literature. In this series of papers we circumvent these difficulties by
passing to a manifestly gauge invariant framework. In other words, we only
perturb gauge invariant, i.e. measurable quantities, rather than gauge variant
ones. Thus, gauge invariance is preserved non perturbatively while we construct
the perturbation theory for the equations of motion for the gauge invariant
observables to all orders. In this first paper we develop the general framework
which is based on a seminal paper due to Brown and Kuchar as well as the
realtional formalism due to Rovelli. In the second, companion, paper we apply
our general theory to FRW cosmologies and derive the deviations from the
standard treatment in linear order. As it turns out, these deviations are
negligible in the late universe, thus our theory is in agreement with the
standard treatment. However, the real strength of our formalism is that it
admits a straightforward and unambiguous, gauge invariant generalisation to
higher orders. This will also allow us to settle the stability issue in a
future publication.
| gr-qc astro-ph hep-th | linear cosmological perturbation theory is pivotal to a theoretical understanding of current cosmological experimental data provided eg by cosmic microwave anisotropy probes a key issue in that theory is to extract the gauge invariant degrees of freedom which allow unambiguous comparison between theory and experiment when one goes beyond first linear order the task of writing the einstein equations expanded to nth order in terms of quantities that are gauge invariant up to terms of higher orders becomes highly nontrivial and cumbersome this fact has prevented progress for instance on the issue of the stability of linear perturbation theory and is a subject of current debate in the literature in this series of papers we circumvent these difficulties by passing to a manifestly gauge invariant framework in other words we only perturb gauge invariant ie measurable quantities rather than gauge variant ones thus gauge invariance is preserved non perturbatively while we construct the perturbation theory for the equations of motion for the gauge invariant observables to all orders in this first paper we develop the general framework which is based on a seminal paper due to brown and kuchar as well as the realtional formalism due to rovelli in the second companion paper we apply our general theory to frw cosmologies and derive the deviations from the standard treatment in linear order as it turns out these deviations are negligible in the late universe thus our theory is in agreement with the standard treatment however the real strength of our formalism is that it admits a straightforward and unambiguous gauge invariant generalisation to higher orders this will also allow us to settle the stability issue in a future publication | [['linear', 'cosmological', 'perturbation', 'theory', 'is', 'pivotal', 'to', 'a', 'theoretical', 'understanding', 'of', 'current', 'cosmological', 'experimental', 'data', 'provided', 'eg', 'by', 'cosmic', 'microwave', 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711.0116 | Static Interactions of non-Abelian Vortices | Interactions between non-BPS non-Abelian vortices are studied in non-Abelian
U(1) x SU(N) extensions of the Abelian-Higgs model in four dimensions. The
distinctive feature of a non-Abelian vortex is the presence of an internal
CP^{N-1} space of orientational degrees of freedom. For fine-tuned values of
the couplings, the vortices are BPS and there is no net force between two
static parallel vortices at arbitrary distance. On the other hand, for generic
values of the couplings the interactions between two vortices depend
non-trivially on their relative internal orientations. We discuss the problem
both with a numerical approach (valid for small deviations from the BPS limit)
and in a semi-analytical way (valid at large vortex separations). The
interactions can be classified with respect to their asymptotic property at
large vortex separation. In a simpler fine-tuned model, we find two regimes
which are quite similar to the usual type I/II Abelian superconductors. In the
generic model we find other two new regimes: type I*/II*. Unlike the type I
(type II) case, where the interaction is always attractive (repulsive), the
type I* and II* have both attractive and repulsive interactions depending on
the relative orientation. We have found a rich variety of interactions at small
vortex separations. For some values of the couplings, a bound state of two
static vortices at a non-zero distance exists.
| hep-th | interactions between nonbps nonabelian vortices are studied in nonabelian u1 x sun extensions of the abelianhiggs model in four dimensions the distinctive feature of a nonabelian vortex is the presence of an internal cpn1 space of orientational degrees of freedom for finetuned values of the couplings the vortices are bps and there is no net force between two static parallel vortices at arbitrary distance on the other hand for generic values of the couplings the interactions between two vortices depend nontrivially on their relative internal orientations we discuss the problem both with a numerical approach valid for small deviations from the bps limit and in a semianalytical way valid at large vortex separations the interactions can be classified with respect to their asymptotic property at large vortex separation in a simpler finetuned model we find two regimes which are quite similar to the usual type iii abelian superconductors in the generic model we find other two new regimes type iii unlike the type i type ii case where the interaction is always attractive repulsive the type i and ii have both attractive and repulsive interactions depending on the relative orientation we have found a rich variety of interactions at small vortex separations for some values of the couplings a bound state of two static vortices at a nonzero distance exists | [['interactions', 'between', 'nonbps', 'nonabelian', 'vortices', 'are', 'studied', 'in', 'nonabelian', 'u1', 'x', 'sun', 'extensions', 'of', 'the', 'abelianhiggs', 'model', 'in', 'four', 'dimensions', 'the', 'distinctive', 'feature', 'of', 'a', 'nonabelian', 'vortex', 'is', 'the', 'presence', 'of', 'an', 'internal', 'cpn1', 'space', 'of', 'orientational', 'degrees', 'of', 'freedom', 'for', 'finetuned', 'values', 'of', 'the', 'couplings', 'the', 'vortices', 'are', 'bps', 'and', 'there', 'is', 'no', 'net', 'force', 'between', 'two', 'static', 'parallel', 'vortices', 'at', 'arbitrary', 'distance', 'on', 'the', 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711.0117 | Manifestly Gauge-Invariant General Relativistic Perturbation Theory: II.
FRW Background and First Order | In our companion paper we identified a complete set of manifestly
gauge-invariant observables for general relativity. This was possible by
coupling the system of gravity and matter to pressureless dust which plays the
role of a dynamically coupled observer. The evolution of those observables is
governed by a physical Hamiltonian and we derived the corresponding equations
of motion. Linear perturbation theory of those equations of motion around a
general exact solution in terms of manifestly gauge invariant perturbations was
then developed. In this paper we specialise our previous results to an FRW
background which is also a solution of our modified equations of motion. We
then compare the resulting equations with those derived in standard
cosmological perturbation theory (SCPT). We exhibit the precise relation
between our manifestly gauge-invariant perturbations and the linearly
gauge-invariant variables in SCPT. We find that our equations of motion can be
cast into SCPT form plus corrections. These corrections are the trace that the
dust leaves on the system in terms of a conserved energy momentum current
density. It turns out that these corrections decay, in fact, in the late
universe they are negligible whatever the value of the conserved current. We
conclude that the addition of dust which serves as a test observer medium,
while implying modifications of Einstein's equations without dust, leads to
acceptable agreement with known results, while having the advantage that one
now talks about manifestly gauge-invariant, that is measurable, quantities,
which can be used even in perturbation theory at higher orders.
| gr-qc astro-ph hep-th | in our companion paper we identified a complete set of manifestly gaugeinvariant observables for general relativity this was possible by coupling the system of gravity and matter to pressureless dust which plays the role of a dynamically coupled observer the evolution of those observables is governed by a physical hamiltonian and we derived the corresponding equations of motion linear perturbation theory of those equations of motion around a general exact solution in terms of manifestly gauge invariant perturbations was then developed in this paper we specialise our previous results to an frw background which is also a solution of our modified equations of motion we then compare the resulting equations with those derived in standard cosmological perturbation theory scpt we exhibit the precise relation between our manifestly gaugeinvariant perturbations and the linearly gaugeinvariant variables in scpt we find that our equations of motion can be cast into scpt form plus corrections these corrections are the trace that the dust leaves on the system in terms of a conserved energy momentum current density it turns out that these corrections decay in fact in the late universe they are negligible whatever the value of the conserved current we conclude that the addition of dust which serves as a test observer medium while implying modifications of einsteins equations without dust leads to acceptable agreement with known results while having the advantage that one now talks about manifestly gaugeinvariant that is measurable quantities which can be used even in perturbation theory at higher orders | [['in', 'our', 'companion', 'paper', 'we', 'identified', 'a', 'complete', 'set', 'of', 'manifestly', 'gaugeinvariant', 'observables', 'for', 'general', 'relativity', 'this', 'was', 'possible', 'by', 'coupling', 'the', 'system', 'of', 'gravity', 'and', 'matter', 'to', 'pressureless', 'dust', 'which', 'plays', 'the', 'role', 'of', 'a', 'dynamically', 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711.0118 | Density dependence of the "symmetry energy" in the lattice gas model | Isoscaling behavior of the statistical emission fragments from the
equilibrated sources with $Z$ = 30 and $N$ = 30, 33, 36 and 39, resepectively,
is investigated in the framework of isospin dependent lattice gas model. The
dependences of isoscaling parameters $\alpha$ on source isospin asymmetry,
temperature and freeze-out density are studied and the "symmetry energy" is
deduced from isoscaling parameters. Results show that "symmetry energy"
$C_{sym}$ is insensitive to the change of temperature but follows the power-law
dependence on the freeze-out density $\rho$. The later gives $C_{sym}$ =
30$(\rho/\rho_0)^{0.62}$ if the suitable asymmetric nucleon-nucleon potential
is taken. The effect of strength of asymmetry of nucleon-nucleon interaction
potential on the density dependence of the "symmetry energy" is dicussed.
| nucl-th | isoscaling behavior of the statistical emission fragments from the equilibrated sources with z 30 and n 30 33 36 and 39 resepectively is investigated in the framework of isospin dependent lattice gas model the dependences of isoscaling parameters alpha on source isospin asymmetry temperature and freezeout density are studied and the symmetry energy is deduced from isoscaling parameters results show that symmetry energy c_sym is insensitive to the change of temperature but follows the powerlaw dependence on the freezeout density rho the later gives c_sym 30rhorho_0062 if the suitable asymmetric nucleonnucleon potential is taken the effect of strength of asymmetry of nucleonnucleon interaction potential on the density dependence of the symmetry energy is dicussed | [['isoscaling', 'behavior', 'of', 'the', 'statistical', 'emission', 'fragments', 'from', 'the', 'equilibrated', 'sources', 'with', 'z', '30', 'and', 'n', '30', '33', '36', 'and', '39', 'resepectively', 'is', 'investigated', 'in', 'the', 'framework', 'of', 'isospin', 'dependent', 'lattice', 'gas', 'model', 'the', 'dependences', 'of', 'isoscaling', 'parameters', 'alpha', 'on', 'source', 'isospin', 'asymmetry', 'temperature', 'and', 'freezeout', 'density', 'are', 'studied', 'and', 'the', 'symmetry', 'energy', 'is', 'deduced', 'from', 'isoscaling', 'parameters', 'results', 'show', 'that', 'symmetry', 'energy', 'c_sym', 'is', 'insensitive', 'to', 'the', 'change', 'of', 'temperature', 'but', 'follows', 'the', 'powerlaw', 'dependence', 'on', 'the', 'freezeout', 'density', 'rho', 'the', 'later', 'gives', 'c_sym', '30rhorho_0062', 'if', 'the', 'suitable', 'asymmetric', 'nucleonnucleon', 'potential', 'is', 'taken', 'the', 'effect', 'of', 'strength', 'of', 'asymmetry', 'of', 'nucleonnucleon', 'interaction', 'potential', 'on', 'the', 'density', 'dependence', 'of', 'the', 'symmetry', 'energy', 'is', 'dicussed']] | [-0.0999377105768612, 0.21906666864275134, -0.1551244772978992, 0.09008478475672226, -0.017812955677592463, -0.11583672894630581, 0.013224635497733419, 0.33210513978961637, -0.21224606654141098, -0.33311897283419967, -0.02841353140060424, -0.33333391210596475, 0.015758158718069484, 0.08669595488338798, 0.09249485429609194, 0.03390770906948352, -0.018588475475553423, 0.04308873261990292, -0.07970055415769041, -0.18448111187899485, 0.32277262078215635, 0.09524248684257534, 0.2789833006432413, 0.17893377735578855, 0.048834178796304126, 0.008405564288425791, -0.011574959573668562, -0.01981056055852345, -0.16084557207308794, 0.0011626179330050945, 0.16251226231491142, 0.029283444110270857, 0.104647077719814, -0.3416811515344307, -0.2055855918609138, 0.096043680071099, 0.10381801130383142, 0.08140445726790599, -0.06017850609142832, -0.25375076459438006, 0.025962080407355512, -0.17962694468276044, -0.1564486016099441, -0.023608157652363713, 0.08327365459574919, 0.06321509903188728, -0.2778005737220935, 0.1841414897706792, -0.005017837231987089, 0.09080072069939758, -0.10310869695967995, -0.21658451526725134, -0.10663962246949918, -0.004894729209419373, 0.10142790118386204, 0.032814644196020835, 0.2561184034930193, -0.09673713920139042, 0.01796906134612592, 0.40924062706264003, -0.0508289767437548, -0.1056611448210398, 0.11932111599682164, -0.1467150114809296, -0.14019967350759543, 0.17883420713561854, 0.11420510875593338, 0.07260529406734609, -0.15041542583743908, 0.12431298492135413, 0.017987062789740906, 0.23425418858615948, 0.04989101031346114, 0.02265955160588159, 0.154377470666077, 0.14556851125754683, -0.012203182226845197, 0.09842813411835648, -0.14416258256824221, -0.1248097310724136, -0.34503211455427973, -0.03772379378122943, -0.19905699347145855, 0.07338847741734103, -0.14212126949184625, -0.058844827401896636, 0.39615991013124585, 0.10505874728966903, 0.2438390706707391, 0.004062024082356531, 0.23395098414870777, 0.14363898811695566, 0.06059405136121703, 0.0366590798512334, 0.25743731686712373, 0.19677953286736738, 0.11071735432155297, -0.32094786693258875, 0.09968414279865101, -0.006260552545427345] |
711.0119 | Algebraic Quantum Gravity (AQG) IV. Reduced Phase Space Quantisation of
Loop Quantum Gravity | We perform a canonical, reduced phase space quantisation of General
Relativity by Loop Quantum Gravity (LQG) methods. The explicit construction of
the reduced phase space is made possible by the combination of 1. the Brown --
Kuchar mechanism in the presence of pressure free dust fields which allows to
deparametrise the theory and 2. Rovelli's relational formalism in the extended
version developed by Dittrich to construct the algebra of gauge invariant
observables. Since the resulting algebra of observables is very simple, one can
quantise it using the methods of LQG. Basically, the kinematical Hilbert space
of non reduced LQG now becomes a physical Hilbert space and the kinematical
results of LQG such as discreteness of spectra of geometrical operators now
have physical meaning. The constraints have disappeared, however, the dynamics
of the observables is driven by a physical Hamiltonian which is related to the
Hamiltonian of the standard model (without dust) and which we quantise in this
paper.
| gr-qc hep-th | we perform a canonical reduced phase space quantisation of general relativity by loop quantum gravity lqg methods the explicit construction of the reduced phase space is made possible by the combination of 1 the brown kuchar mechanism in the presence of pressure free dust fields which allows to deparametrise the theory and 2 rovellis relational formalism in the extended version developed by dittrich to construct the algebra of gauge invariant observables since the resulting algebra of observables is very simple one can quantise it using the methods of lqg basically the kinematical hilbert space of non reduced lqg now becomes a physical hilbert space and the kinematical results of lqg such as discreteness of spectra of geometrical operators now have physical meaning the constraints have disappeared however the dynamics of the observables is driven by a physical hamiltonian which is related to the hamiltonian of the standard model without dust and which we quantise in this paper | [['we', 'perform', 'a', 'canonical', 'reduced', 'phase', 'space', 'quantisation', 'of', 'general', 'relativity', 'by', 'loop', 'quantum', 'gravity', 'lqg', 'methods', 'the', 'explicit', 'construction', 'of', 'the', 'reduced', 'phase', 'space', 'is', 'made', 'possible', 'by', 'the', 'combination', 'of', '1', 'the', 'brown', 'kuchar', 'mechanism', 'in', 'the', 'presence', 'of', 'pressure', 'free', 'dust', 'fields', 'which', 'allows', 'to', 'deparametrise', 'the', 'theory', 'and', '2', 'rovellis', 'relational', 'formalism', 'in', 'the', 'extended', 'version', 'developed', 'by', 'dittrich', 'to', 'construct', 'the', 'algebra', 'of', 'gauge', 'invariant', 'observables', 'since', 'the', 'resulting', 'algebra', 'of', 'observables', 'is', 'very', 'simple', 'one', 'can', 'quantise', 'it', 'using', 'the', 'methods', 'of', 'lqg', 'basically', 'the', 'kinematical', 'hilbert', 'space', 'of', 'non', 'reduced', 'lqg', 'now', 'becomes', 'a', 'physical', 'hilbert', 'space', 'and', 'the', 'kinematical', 'results', 'of', 'lqg', 'such', 'as', 'discreteness', 'of', 'spectra', 'of', 'geometrical', 'operators', 'now', 'have', 'physical', 'meaning', 'the', 'constraints', 'have', 'disappeared', 'however', 'the', 'dynamics', 'of', 'the', 'observables', 'is', 'driven', 'by', 'a', 'physical', 'hamiltonian', 'which', 'is', 'related', 'to', 'the', 'hamiltonian', 'of', 'the', 'standard', 'model', 'without', 'dust', 'and', 'which', 'we', 'quantise', 'in', 'this', 'paper']] | [-0.09851512890227007, 0.1483416715920425, -0.1348239932454024, 0.08288631860378724, -0.08793377940907167, -0.11951559485019878, -0.010924777733938148, 0.29084133406789847, -0.27405529358209324, -0.289536821632049, 0.08830636447573152, -0.19390898895047334, -0.13801085088436174, 0.15873087860661775, -0.07865582179361716, 0.05488940408059324, 0.02144248145692146, 0.01662331140743425, -0.12465354568027975, -0.23066908423938096, 0.3870859616346514, 0.08974205885636202, 0.19523794507273498, -0.023587597319139883, 0.13860222675262215, 0.0069959808606654406, -0.05066867840016643, 0.03696047727806637, -0.13136851724284965, 0.10826340431081824, 0.22303978433886257, 0.11017228489837204, 0.21316233331648013, -0.3933118203153404, -0.23696208687164097, 0.08079883732641928, 0.10887617840527151, 0.11601793104917026, 0.023933703247726392, -0.28656026527870637, 0.0063460936518169595, -0.1723012340386422, -0.1504114220252422, -0.09236294597548504, 0.005186491007080827, -0.09906152572306709, -0.21519219087890518, 0.054338387539013266, 0.06392386054414181, 0.052109246211236894, -0.0574767391681701, -0.059445959300016206, -0.06301171838258131, 0.09166023580249973, 0.0004647321370728792, 0.05566675314315571, 0.14691905955819842, -0.10024665955428738, -0.13117821084765288, 0.4281569863788975, -0.03855179649261304, -0.23150664296908638, 0.1595719033279098, -0.15891383822935706, -0.15168001680061793, 0.10043579911013158, 0.08934543143886213, 0.11313092678737564, -0.15287977966438168, 0.2019584368849442, -0.04069955008796965, 0.10657868397613175, 0.02526906409109823, 0.08362728536303621, 0.19290781658118925, 0.10371708792267899, 0.03619390458334237, 0.11459339569018294, -0.034201920471297435, -0.17049731575855567, -0.35298759567861754, -0.15405995346599155, -0.14253479429335597, 0.07279024344200316, -0.10102653527867052, -0.16827396526395416, 0.37707040732941377, 0.14727800646468472, 0.1669719752539188, 0.028776922724388827, 0.2799181467286335, 0.1291245297604921, 0.10529938804057355, 0.04589400891190729, 0.25785895094920236, 0.18352379149291664, 0.08051538785161355, -0.21643060891745755, -0.013469038190893255, 0.11552108797238758] |
711.012 | Theoretical study of interacting electrons in one dimension - ground
states and experimental signatures | This dissertation focuses on a theoretical study of interacting electrons in
one dimension. The research elucidates the ground state (zero temperature)
electronic phase diagram of an aluminum arsenide quantum wire which is an
example of an interacting one dimensional electron liquid. Using one
dimensional field theoretic methods involving abelian bosonization and the
renormalization group we show the existence of a spin gapped quantum wire with
electronic ground states such as charge density wave and singlet
superconductivity. The superconducting state arises due to the unique umklapp
interaction present in the aluminum arsenide quantum wire bandstructure
discussed in this dissertation. It is characterized by Cooper pairs carrying a
finite pairing momentum. This is a realization of the Fulde-Ferrell-Larkin-
Ovchinnikov state which is known to lead to inhomogeneous superconductivity.
The dissertation also presents a theoretical analysis of the finite temperature
single hole spectral function of the one dimensional electron liquid with
gapless spin and charge modes (Luttinger liquid). The hole spectral function is
measured in angle resolved photoemission spectroscopy experiments. The results
predict a kink in the effective electronic dispersion of the Luttinger liquid.
A systematic study of the temperature and interaction dependence of the kink
provides an alternative way to detect spincharge separation in one dimensional
systems where the peak due to the spin part of the spectral function is
suppressed.
| cond-mat.str-el | this dissertation focuses on a theoretical study of interacting electrons in one dimension the research elucidates the ground state zero temperature electronic phase diagram of an aluminum arsenide quantum wire which is an example of an interacting one dimensional electron liquid using one dimensional field theoretic methods involving abelian bosonization and the renormalization group we show the existence of a spin gapped quantum wire with electronic ground states such as charge density wave and singlet superconductivity the superconducting state arises due to the unique umklapp interaction present in the aluminum arsenide quantum wire bandstructure discussed in this dissertation it is characterized by cooper pairs carrying a finite pairing momentum this is a realization of the fuldeferrelllarkin ovchinnikov state which is known to lead to inhomogeneous superconductivity the dissertation also presents a theoretical analysis of the finite temperature single hole spectral function of the one dimensional electron liquid with gapless spin and charge modes luttinger liquid the hole spectral function is measured in angle resolved photoemission spectroscopy experiments the results predict a kink in the effective electronic dispersion of the luttinger liquid a systematic study of the temperature and interaction dependence of the kink provides an alternative way to detect spincharge separation in one dimensional systems where the peak due to the spin part of the spectral function is suppressed | [['this', 'dissertation', 'focuses', 'on', 'a', 'theoretical', 'study', 'of', 'interacting', 'electrons', 'in', 'one', 'dimension', 'the', 'research', 'elucidates', 'the', 'ground', 'state', 'zero', 'temperature', 'electronic', 'phase', 'diagram', 'of', 'an', 'aluminum', 'arsenide', 'quantum', 'wire', 'which', 'is', 'an', 'example', 'of', 'an', 'interacting', 'one', 'dimensional', 'electron', 'liquid', 'using', 'one', 'dimensional', 'field', 'theoretic', 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711.0121 | Interaction effects in mixed-valent Kondo insulators | We study theoretically the class of mixed-valent Kondo insulators, employing
a recently developed local moment approach to heavy Fermion systems using the
asymmetric periodic Anderson model (PAM). Novel features in spectra and
transport, observable experimentally but lying outside the scope of the
symmetric PAM or the Kondo lattice model, emerge naturally within the present
theory. We argue in particular that a shoulder-like feature in the optical
conductivity, that is distinct from the usual mid-infrared or direct gap peak
and has been observed experimentally in mixed-valent compounds such as
CeOs4Sb12 and YbAl3, is of intrinsic origin. Detailed comparison is made
between the resultant theory and transport/optical experiments on the
filled-skutterudite compound CeOs4Sb12, and good agreement is obtained.
| cond-mat.str-el | we study theoretically the class of mixedvalent kondo insulators employing a recently developed local moment approach to heavy fermion systems using the asymmetric periodic anderson model pam novel features in spectra and transport observable experimentally but lying outside the scope of the symmetric pam or the kondo lattice model emerge naturally within the present theory we argue in particular that a shoulderlike feature in the optical conductivity that is distinct from the usual midinfrared or direct gap peak and has been observed experimentally in mixedvalent compounds such as ceos4sb12 and ybal3 is of intrinsic origin detailed comparison is made between the resultant theory and transportoptical experiments on the filledskutterudite compound ceos4sb12 and good agreement is obtained | [['we', 'study', 'theoretically', 'the', 'class', 'of', 'mixedvalent', 'kondo', 'insulators', 'employing', 'a', 'recently', 'developed', 'local', 'moment', 'approach', 'to', 'heavy', 'fermion', 'systems', 'using', 'the', 'asymmetric', 'periodic', 'anderson', 'model', 'pam', 'novel', 'features', 'in', 'spectra', 'and', 'transport', 'observable', 'experimentally', 'but', 'lying', 'outside', 'the', 'scope', 'of', 'the', 'symmetric', 'pam', 'or', 'the', 'kondo', 'lattice', 'model', 'emerge', 'naturally', 'within', 'the', 'present', 'theory', 'we', 'argue', 'in', 'particular', 'that', 'a', 'shoulderlike', 'feature', 'in', 'the', 'optical', 'conductivity', 'that', 'is', 'distinct', 'from', 'the', 'usual', 'midinfrared', 'or', 'direct', 'gap', 'peak', 'and', 'has', 'been', 'observed', 'experimentally', 'in', 'mixedvalent', 'compounds', 'such', 'as', 'ceos4sb12', 'and', 'ybal3', 'is', 'of', 'intrinsic', 'origin', 'detailed', 'comparison', 'is', 'made', 'between', 'the', 'resultant', 'theory', 'and', 'transportoptical', 'experiments', 'on', 'the', 'filledskutterudite', 'compound', 'ceos4sb12', 'and', 'good', 'agreement', 'is', 'obtained']] | [-0.10155664356222943, 0.1392793291010489, -0.07434309065422934, 0.07847565436411812, -0.02954333760654149, -0.1660202853300649, 0.07657897380919641, 0.41163969135276324, -0.25277313958529546, -0.25045165422817933, 0.02683953045786399, -0.3171059690577828, -0.1851151037758783, 0.14907708772984535, 0.01976295964104002, 0.04774275111722882, -0.013647006659606553, -0.011461786917694236, -0.09463455084630329, -0.16941516323258046, 0.2720764766958461, 0.03470684460404774, 0.3120986187830567, 0.08449970842946483, 0.039536229039177945, 0.0011431199159351703, 0.08100031842275159, 0.04450337513648581, -0.1270986258979816, 0.10029834302486447, 0.22815146240324755, -0.04297676947899163, 0.16932573656592032, -0.3930324948109362, -0.24848286173934037, 0.046674640006993125, 0.11940564779645722, 0.12426736993998613, -0.10361425652188937, -0.28359066092449686, 0.0824572174091135, -0.1739671321099867, -0.11846624259310572, -0.08691215568181614, -0.012390181616596553, -0.03386545962977992, -0.24755906663106186, 0.11630621219772602, 0.03955935393055172, 0.10705188400233569, -0.09052652880023031, -0.14308318317179447, -0.02714410057777296, 0.05145905829318192, 0.02156128879919972, 0.002805971664012126, 0.0720019832658379, -0.0859039136937455, -0.12533054642541253, 0.3953184823627057, -0.08043421616565193, -0.06737157811977618, 0.20125502388438452, -0.1722829482295429, -0.09636357271557917, 0.12028022196710758, 0.10359153281897307, 0.10091819588256919, -0.14239164735797954, 0.12136380117052518, -0.10235823453808932, 0.16176130016202755, 0.007728693417637892, 0.088486362146859, 0.24680344805769297, 0.19428916767280063, -0.027978052790074245, 0.14284003893642322, -0.11641901278078719, -0.12248840060732935, -0.22457063200519137, -0.11511535325452038, -0.22572723733990088, 0.01726600057647928, -0.01667102660753501, -0.17478307869447315, 0.4139372002495372, 0.1437689794106004, 0.2074803926779524, -0.05358142057919632, 0.2371711605734637, 0.1254513648773908, 0.06864758230259885, 0.01781350691175169, 0.25047166258623094, 0.13331467657066556, 0.09491231786087155, -0.2571946575164633, 0.07045251136321737, 0.055886277783176175] |
711.0122 | Minimal types in super-dependent theories | We give necessary and sufficient geometric conditions for a theory definable
in an o-minimal structure to interpret a real closed field. The proof goes
through an analysis of thorn-minimal types in super-rosy dependent theories of
finite rank. We prove that such theories are coordinatised by thorn-minimal
types and that such a type is unstable if an only if every non-algebraic
extension thereof is. We conclude that a type is stable if and only if it
admits a coordinatisation in thorn-minimal stable types. We also show that
non-trivial thorn-minimal stable types extend stable sets.
| math.LO | we give necessary and sufficient geometric conditions for a theory definable in an ominimal structure to interpret a real closed field the proof goes through an analysis of thornminimal types in superrosy dependent theories of finite rank we prove that such theories are coordinatised by thornminimal types and that such a type is unstable if an only if every nonalgebraic extension thereof is we conclude that a type is stable if and only if it admits a coordinatisation in thornminimal stable types we also show that nontrivial thornminimal stable types extend stable sets | [['we', 'give', 'necessary', 'and', 'sufficient', 'geometric', 'conditions', 'for', 'a', 'theory', 'definable', 'in', 'an', 'ominimal', 'structure', 'to', 'interpret', 'a', 'real', 'closed', 'field', 'the', 'proof', 'goes', 'through', 'an', 'analysis', 'of', 'thornminimal', 'types', 'in', 'superrosy', 'dependent', 'theories', 'of', 'finite', 'rank', 'we', 'prove', 'that', 'such', 'theories', 'are', 'coordinatised', 'by', 'thornminimal', 'types', 'and', 'that', 'such', 'a', 'type', 'is', 'unstable', 'if', 'an', 'only', 'if', 'every', 'nonalgebraic', 'extension', 'thereof', 'is', 'we', 'conclude', 'that', 'a', 'type', 'is', 'stable', 'if', 'and', 'only', 'if', 'it', 'admits', 'a', 'coordinatisation', 'in', 'thornminimal', 'stable', 'types', 'we', 'also', 'show', 'that', 'nontrivial', 'thornminimal', 'stable', 'types', 'extend', 'stable', 'sets']] | [-0.1521117888016464, 0.13982962343114827, -0.10891533577966545, 0.11698354604405999, -0.08176730924700994, -0.1649334918980932, 0.009222227478976887, 0.3659391201344197, -0.2800850921269992, -0.16037570010445526, 0.12260111366302463, -0.2056330634969408, -0.2078061177668607, 0.20166994144370698, -0.10731657675173863, -0.09478185972725243, 0.05261090838188386, 0.11135785628373371, -0.06401236279381682, -0.28398841748813813, 0.36241069250314945, -0.094652851939748, 0.21471601710452334, 0.06850684429240494, 0.10806857427055745, 0.009047287010142336, 0.031410174186179494, 0.09627608741056579, -0.17107034914616912, 0.042983402725835534, 0.2444807197696165, 0.15039744038570105, 0.24488805688198897, -0.39690059293207014, -0.17942995767162243, 0.1765539927671299, 0.10978433264561159, 0.07957564273079776, -0.05352062578015687, -0.22395477508721146, 0.19441958605919196, -0.15229163314823224, -0.18774915688023294, -0.15463429747108856, 0.10042135345334512, 0.009580260243914698, -0.2872341721750158, 0.005122421007874199, 0.12047098352290365, 0.07673186282424824, -0.10238555140044216, -0.01217357737376638, -0.048648157318973026, 0.05167867110108289, 0.0010108953853056807, -0.019714869660041903, 0.04560064711119555, -0.05970881926908117, -0.11049734513558772, 0.3320118400632687, -0.072659155493096, -0.21144891878509003, 0.22101495833181695, -0.08402618839223262, -0.20286724384894353, 0.10845260774595258, 0.05355939645644115, 0.179139028582026, -0.04374029769109177, 0.17602489856590578, -0.11627708627518428, 0.18919992804496913, 0.09745542457549954, 0.011780903573431398, 0.16839871866851236, 0.11759708437982583, 0.1312045055370697, 0.1212536835304016, 0.019115011779712917, -0.03068792973847493, -0.3832109172059142, -0.1640266746221839, -0.08155888101369467, 0.09631372168887933, -0.09537016307260036, -0.2477043110816537, 0.35320852326391183, 0.09323095437645426, 0.1581146105789863, 0.06292531117746282, 0.2547071378009961, 0.0862001422254885, 0.02939037791878471, 0.10196955872031496, 0.17331150255125502, 0.14789622093034585, -0.02232641861875258, -0.10990813871056003, 0.016290999614917066, 0.10621949397128723] |
711.0123 | On the regularity criterion of weak solution for the 3D viscous
Magneto-hydrodynamics equations | We improve and extend some known regularity criterion of weak solution for
the 3D viscous Magneto-hydrodynamics equations by means of the Fourier
localization technique and Bony's para-product decomposition.
| math.AP math-ph math.MP | we improve and extend some known regularity criterion of weak solution for the 3d viscous magnetohydrodynamics equations by means of the fourier localization technique and bonys paraproduct decomposition | [['we', 'improve', 'and', 'extend', 'some', 'known', 'regularity', 'criterion', 'of', 'weak', 'solution', 'for', 'the', '3d', 'viscous', 'magnetohydrodynamics', 'equations', 'by', 'means', 'of', 'the', 'fourier', 'localization', 'technique', 'and', 'bonys', 'paraproduct', 'decomposition']] | [-0.09053264363423555, -0.01403716575753476, -0.11501009070447513, 0.11386250208930246, -0.11332736086166863, -0.12285146556262459, -0.034649955694996085, 0.2612709725674774, -0.33887059254837887, -0.24300054856576025, 0.17055032333259337, -0.19875810428389482, -0.1583000456116029, 0.2131047159699457, -0.06330214314428824, 0.19955354561430536, 0.07604976836591959, -0.06550222668114916, -0.10016652735482369, -0.19706689679462994, 0.34384487655812074, 0.004000743718019554, 0.2588709318744285, 0.02984830773701625, 0.0790851473739167, 0.053940829721146395, -0.1031954766783331, 0.0368294178375176, -0.2428034022450447, 0.09153721940570644, 0.15139875709012682, 0.1094481291282656, 0.2525202558775033, -0.44328826619312167, -0.24861188269486384, 8.70524880675865e-05, 0.16213095687063678, 0.07916925581438201, -0.03800325069044318, -0.32833362450557096, 0.12702996074222028, -0.14561820289652264, -0.1870214172273076, -0.17393498066147522, -0.06977977661881596, 0.052759674743616154, -0.33333026032362667, 0.1485657336057297, 0.16723387532900752, 0.040840117452067455, -0.18830181546841882, -0.07502992058705006, 0.020617839946810688, 0.05972688221040049, 0.012327767363915752, 0.0031238605733960867, 0.03510417947213033, -0.1590768674255482, -0.07849075676806803, 0.3386041327113552, -0.07084582918988806, -0.2932913476335151, 0.19560230942443013, -0.1399349429245506, -0.07726854272186756, 0.13240976284058498, 0.11490471418281752, 0.21867951268463262, -0.13657272078229912, 0.1359096699618801, -0.0695993332524917, 0.08929295866151474, 0.1255772916733154, 0.026004334346258214, 0.017858849705329964, 0.11947853543928691, 0.14687825393463885, 0.15043741278350353, -0.07894833978051403, 0.0055867568922362155, -0.2740551816033466, -0.20464725286832877, -0.18327696691267192, 0.07682070714820709, -0.12920294837905594, -0.17033451768968785, 0.36397951111263993, 0.181779502757958, 0.06593344447069935, 0.07312090049630829, 0.2954569599990334, 0.16092239957236285, 0.000725166206913335, 0.06533512363343366, 0.20900245881161286, 0.24779481101515038, 0.13956424134916492, -0.2252980933325099, -0.01697423731509064, 0.3338415708525905] |
711.0124 | The nonequilibrium statistical operator with finite duration of the
present time moment | The method of the nonequilibrium statistical operator accounts for the
history of a system, influence of its past history to its present state. It is
suggested to take into account the finite duration of the present time moment,
which according to I.Prigogine's results, is equal to the average Lyapunov
time.
| cond-mat.stat-mech cond-mat.other | the method of the nonequilibrium statistical operator accounts for the history of a system influence of its past history to its present state it is suggested to take into account the finite duration of the present time moment which according to iprigogines results is equal to the average lyapunov time | [['the', 'method', 'of', 'the', 'nonequilibrium', 'statistical', 'operator', 'accounts', 'for', 'the', 'history', 'of', 'a', 'system', 'influence', 'of', 'its', 'past', 'history', 'to', 'its', 'present', 'state', 'it', 'is', 'suggested', 'to', 'take', 'into', 'account', 'the', 'finite', 'duration', 'of', 'the', 'present', 'time', 'moment', 'which', 'according', 'to', 'iprigogines', 'results', 'is', 'equal', 'to', 'the', 'average', 'lyapunov', 'time']] | [-0.10738117840825295, 0.08311692113056779, -0.19332463689604584, 0.041916035519608735, -0.05685222681079592, -0.05724367713175562, 0.07407855671683174, 0.33351313626887846, -0.2683013318372624, -0.2724759078831697, 0.10404012063328101, -0.22574779772845915, -0.05594185025108104, 0.16658816423875336, -0.009075780912321441, 0.0390016719846207, 0.03396470052646283, 0.11095932885833389, -0.03864241718333595, -0.29253085406155005, 0.29615150817802977, 0.09202933566150617, 0.2516530290797201, 0.06775244763501141, 0.15384589589904157, -0.001701584090573751, -0.052015416818309804, 0.016980178686118997, -0.10947835427347799, 0.05907691798496003, 0.17728226609071907, 0.1576846293648895, 0.3291806247161359, -0.4521912543141112, -0.23356052815001838, 0.1164901698084206, 0.08755707705146348, 0.0983767614448063, 0.014151640312404049, -0.2756615900719652, 0.08656163591587422, -0.18284882629784394, -0.12888136110743698, -0.053683070256849943, 0.09731506655106739, 0.0011801034098072928, -0.22704980822698195, 0.12040841176497694, 0.08177305608322578, -0.0184564100274322, -0.10306430560517676, -0.10969685788541957, -0.0016715720067827068, 0.2072119148619169, 0.09026805800860938, 0.021007696755838638, 0.1244158620936606, -0.05848246873641501, -0.08556886957198077, 0.4025601175214563, -0.044466233940566986, -0.13887186819801525, 0.12481756668005671, -0.18081660080244955, -0.06204753764429871, 0.12855283045495042, 0.1891633413960131, 0.11985186844760058, -0.17978010497683164, 0.037978897550694495, 0.012127136621548205, 0.18242988518762346, -0.061478148437846374, 0.03193853457211232, 0.19285917358130825, 0.17942853043882215, 0.06696857928716558, 0.16076843565500967, -0.08305732784222583, -0.16529882668840643, -0.26947337396594945, -0.17527978005343858, -0.18376848420926503, 0.0497743612278861, -0.06457295167088813, -0.17347201013139316, 0.4810284164791204, 0.19758628719315238, 0.18838247876823405, 0.0848525951697244, 0.29280693167630506, 0.17701427283107626, 0.052724393483783515, 0.02319375924024807, 0.2161829505039721, 0.13596121362429492, 0.11603088361420194, -0.29253636102420183, 0.14482388945714553, 0.08754919146244623] |
711.0125 | Influence of the atomic scale inhomogeneity of the pair interaction on
the local pair formation and density of states in high-T_c superconductors | The influence of the atomic-scale inhomogeneities of the pairing interaction
on the superconducting order parameter distribution and the LDOS is studied in
the framework of mean-field BCS theory for two-dimensional lattice model. It is
found that the ratio of the local low-temperature gap in differential
conductance to the local temperature of vanishing the gap $2\Delta_g/T_p$ can
take large enough values compared to the homogeneous case. This ratio
practically does not depend on the location in the sample and is independent on
the concentration of local pair interaction perturbations in wide range of
concentrations. The obtained results could bear a relation to the recent
measurements by Gomes {\it et. al} Nature, 447, 569 (2007).
| cond-mat.supr-con | the influence of the atomicscale inhomogeneities of the pairing interaction on the superconducting order parameter distribution and the ldos is studied in the framework of meanfield bcs theory for twodimensional lattice model it is found that the ratio of the local lowtemperature gap in differential conductance to the local temperature of vanishing the gap 2delta_gt_p can take large enough values compared to the homogeneous case this ratio practically does not depend on the location in the sample and is independent on the concentration of local pair interaction perturbations in wide range of concentrations the obtained results could bear a relation to the recent measurements by gomes it et al nature 447 569 2007 | [['the', 'influence', 'of', 'the', 'atomicscale', 'inhomogeneities', 'of', 'the', 'pairing', 'interaction', 'on', 'the', 'superconducting', 'order', 'parameter', 'distribution', 'and', 'the', 'ldos', 'is', 'studied', 'in', 'the', 'framework', 'of', 'meanfield', 'bcs', 'theory', 'for', 'twodimensional', 'lattice', 'model', 'it', 'is', 'found', 'that', 'the', 'ratio', 'of', 'the', 'local', 'lowtemperature', 'gap', 'in', 'differential', 'conductance', 'to', 'the', 'local', 'temperature', 'of', 'vanishing', 'the', 'gap', '2delta_gt_p', 'can', 'take', 'large', 'enough', 'values', 'compared', 'to', 'the', 'homogeneous', 'case', 'this', 'ratio', 'practically', 'does', 'not', 'depend', 'on', 'the', 'location', 'in', 'the', 'sample', 'and', 'is', 'independent', 'on', 'the', 'concentration', 'of', 'local', 'pair', 'interaction', 'perturbations', 'in', 'wide', 'range', 'of', 'concentrations', 'the', 'obtained', 'results', 'could', 'bear', 'a', 'relation', 'to', 'the', 'recent', 'measurements', 'by', 'gomes', 'it', 'et', 'al', 'nature', '447', '569', '2007']] | [-0.15634727601242143, 0.11402177756891248, -0.0799805811828876, 0.037023498909547925, -0.0362864966335319, -0.07657652855562293, 0.05766481487801612, 0.31490595249739367, -0.2502649769236424, -0.345435820964981, 0.02402094010247198, -0.2862488807413925, -0.10226855512741392, 0.16575527836288434, -0.009564259971401333, 0.030983630834745896, -0.011413733249291184, 0.0018662094525926935, -0.07160871954989183, -0.269578111873099, 0.31569188135053833, 0.08424378757208453, 0.3406370144370383, 0.08844347594540763, 0.009385521855386617, 0.022083869129749, 0.019685466423531812, 0.05498783461815488, -0.1711929631402095, 0.0498842530990992, 0.2134160877021794, -0.010483638974346027, 0.20968953016486053, -0.39088675596480066, -0.2231431778981886, 0.07508261196018584, 0.1112490682090031, 0.11352187955331684, -0.01465404045817533, -0.2738984180058031, 0.06774099668141752, -0.1455224952454456, -0.11395458900575749, -0.050218885673819914, 0.04469617862930208, 0.027401048652992574, -0.27095287825203446, 0.13210822198441072, 0.06567130667215164, 0.034618897528379364, -0.07901021017717709, -0.11997593649193249, -0.03307902742902526, 0.08381735226881187, 0.005470559169925684, 0.022575378804302784, 0.13588627159133948, -0.11856845035464957, -0.01759952247406529, 0.33404078528252057, -0.08736843984693586, -0.1266272520889586, 0.1956384555988871, -0.1788691141131639, -0.08203843881301912, 0.11955214176837982, 0.12733954843133688, 0.09787247043135947, -0.12358298948018161, 0.12779965832627552, -0.06187092723423796, 0.1894065054150018, 0.023847182472937007, 0.02135237818583846, 0.18893785729377935, 0.1426472605733547, 0.051480736017878274, 0.06595520392694898, -0.13284389151515752, -0.12301098949129619, -0.27353554801702235, -0.11155985887945358, -0.2195218514416169, 0.03696602671955757, -0.09419999558831961, -0.16929173424213598, 0.37914743349450614, 0.16336651405616276, 0.24232255372391864, -0.013087351246019908, 0.20717353406733116, 0.12868218847439186, 0.06374603853276642, 0.03292759431245844, 0.3032499081661216, 0.17425240986914564, 0.12488731087094783, -0.2736224259653714, 0.10968380529882667, 0.034170972438842324] |
711.0126 | WASP-3b: a strongly-irradiated transiting gas-giant planet | We report the discovery of WASP-3b, the third transiting exoplanet to be
discovered by the WASP and SOPHIE collaboration. WASP-3b transits its host star
USNO-B1.0 1256-0285133 every 1.846834+-0.000002 days. Our high precision
radial-velocity measurements present a variation with amplitude characteristic
of a planetary-mass companion and in-phase with the light-curve. Adaptive
optics imaging shows no evidence for nearby stellar companions, and
line-bisector analysis excludes faint, unresolved binarity and stellar activity
as the cause of the radial-velocity variations. We make a preliminary
spectroscopic analysis of the host star finding it to have Teff = 6400+-100 K
and log g = 4.25+-0.05 which suggests it is most likely an unevolved main
sequence star of spectral type F7-8V. Our simultaneous modelling of the transit
photometry and reflex motion of the host leads us to derive a mass of 1.76
+0.08 -0.14 M_J and radius 1.31 +0.07-0.14 R_J for WASP-3b. The proximity and
relative temperature of the host star suggests that WASP-3b is one of the
hottest exoplanets known, and thus has the potential to place stringent
constraints on exoplanet atmospheric models.
| astro-ph | we report the discovery of wasp3b the third transiting exoplanet to be discovered by the wasp and sophie collaboration wasp3b transits its host star usnob10 12560285133 every 18468340000002 days our high precision radialvelocity measurements present a variation with amplitude characteristic of a planetarymass companion and inphase with the lightcurve adaptive optics imaging shows no evidence for nearby stellar companions and linebisector analysis excludes faint unresolved binarity and stellar activity as the cause of the radialvelocity variations we make a preliminary spectroscopic analysis of the host star finding it to have teff 6400100 k and log g 425005 which suggests it is most likely an unevolved main sequence star of spectral type f78v our simultaneous modelling of the transit photometry and reflex motion of the host leads us to derive a mass of 176 008 014 m_j and radius 131 007014 r_j for wasp3b the proximity and relative temperature of the host star suggests that wasp3b is one of the hottest exoplanets known and thus has the potential to place stringent constraints on exoplanet atmospheric models | [['we', 'report', 'the', 'discovery', 'of', 'wasp3b', 'the', 'third', 'transiting', 'exoplanet', 'to', 'be', 'discovered', 'by', 'the', 'wasp', 'and', 'sophie', 'collaboration', 'wasp3b', 'transits', 'its', 'host', 'star', 'usnob10', '12560285133', 'every', '18468340000002', 'days', 'our', 'high', 'precision', 'radialvelocity', 'measurements', 'present', 'a', 'variation', 'with', 'amplitude', 'characteristic', 'of', 'a', 'planetarymass', 'companion', 'and', 'inphase', 'with', 'the', 'lightcurve', 'adaptive', 'optics', 'imaging', 'shows', 'no', 'evidence', 'for', 'nearby', 'stellar', 'companions', 'and', 'linebisector', 'analysis', 'excludes', 'faint', 'unresolved', 'binarity', 'and', 'stellar', 'activity', 'as', 'the', 'cause', 'of', 'the', 'radialvelocity', 'variations', 'we', 'make', 'a', 'preliminary', 'spectroscopic', 'analysis', 'of', 'the', 'host', 'star', 'finding', 'it', 'to', 'have', 'teff', '6400100', 'k', 'and', 'log', 'g', '425005', 'which', 'suggests', 'it', 'is', 'most', 'likely', 'an', 'unevolved', 'main', 'sequence', 'star', 'of', 'spectral', 'type', 'f78v', 'our', 'simultaneous', 'modelling', 'of', 'the', 'transit', 'photometry', 'and', 'reflex', 'motion', 'of', 'the', 'host', 'leads', 'us', 'to', 'derive', 'a', 'mass', 'of', '176', '008', '014', 'm_j', 'and', 'radius', '131', '007014', 'r_j', 'for', 'wasp3b', 'the', 'proximity', 'and', 'relative', 'temperature', 'of', 'the', 'host', 'star', 'suggests', 'that', 'wasp3b', 'is', 'one', 'of', 'the', 'hottest', 'exoplanets', 'known', 'and', 'thus', 'has', 'the', 'potential', 'to', 'place', 'stringent', 'constraints', 'on', 'exoplanet', 'atmospheric', 'models']] | [-0.12315217995814312, 0.10125677906241634, -0.11491815192547776, 0.032502131757034355, -0.19341000387742674, -0.10740127393799509, 0.1261184042865223, 0.3443922976627064, -0.13987196095428325, -0.41005655154365406, 0.11193014778880149, -0.32314547558023027, -0.09052466914920858, 0.2205496243732987, -0.11215048508178553, 0.006859149167675128, 0.17726143205141615, -0.029390192051974715, -0.01824871553852052, -0.2736734068393156, 0.2294925515286448, 0.030513725917202215, 0.0359903659544797, -0.012503728419321881, 0.01570231432216407, -0.028537760556196057, -0.11389584107374078, -0.09291329520572661, -0.19621454517257342, 0.027133384840728265, 0.20660245681509873, 0.1467745502137706, 0.19516695618695584, -0.2305560582391463, -0.18926847160631272, 0.06373162517811795, 0.1495009414278544, -0.008873974061956816, -0.07068868717089152, -0.2920694196598119, 0.09016780390751344, -0.17867528893585322, -0.1885873835820418, 0.03267550921982386, 0.11163035473791805, -0.003025869852584269, -0.2669730724810937, 0.11659264166084443, 0.042660854480647104, 0.18899795433407177, -0.13956643381092654, -0.16169109780165042, -0.07248315276004948, 0.09197986112720162, -0.0016903913877463553, 0.10195958663119807, 0.10932888599221467, -0.061252311864019145, -0.013267112984018918, 0.40172426307232245, -0.11256400189712401, 0.06531041533790925, 0.24729115933561477, -0.20552033664019415, -0.17810734997905747, 0.12600923445869303, 0.1536736770756212, 0.147085547513334, -0.1938497685309301, -0.044075800778589504, 0.013621950883710394, 0.2512996548837734, 0.057204269489945746, 0.08318352126915933, 0.4087764535969972, 0.1509958858492911, 0.07521469226746252, 0.03506327715782261, -0.2976820990098806, 0.015871289956311766, -0.1671492328878338, -0.10686097507083998, -0.12985472201463386, 0.047697417692904025, -0.1271287516353083, -0.13668059813101174, 0.3645884448472278, 0.13877365044896772, 0.1754842845105825, 0.020973379577003067, 0.30954557304000535, 0.0906231206505609, 0.1179336446155546, 0.07711516242865583, 0.34505382099205395, 0.22320190184479635, 0.08090922969652439, -0.2994150887271004, 0.10045278884371268, -0.020580803553887903] |
711.0127 | Phenomenological Scaling of Rapidity Dependence for Anisotropic Flows in
25 MeV/nucleon Ca + Ca by Quantum Molecular Dynamics Model | Anisotropic flows ($v_1$, $v_2$, $v_3$ and $v_4$) of light fragments up till
the mass number 4 as a function of rapidity have been studied for 25
MeV/nucleon $^{40}$Ca + $^{40}$Ca at large impact parameters by Quantum
Molecular Dynamics model. A phenomenological scaling behavior of rapidity
dependent flow parameters $v_n$ (n = 1, 2, 3 and 4) has been found as a
function of mass number plus a constant term, which may arise from the
interplay of collective and random motions. In addition, $v_4/{v_2}^2$ keeps
almost independent of rapidity and remains a rough constant of 1/2 for all
light fragments.
| nucl-th nucl-ex | anisotropic flows v_1 v_2 v_3 and v_4 of light fragments up till the mass number 4 as a function of rapidity have been studied for 25 mevnucleon 40ca 40ca at large impact parameters by quantum molecular dynamics model a phenomenological scaling behavior of rapidity dependent flow parameters v_n n 1 2 3 and 4 has been found as a function of mass number plus a constant term which may arise from the interplay of collective and random motions in addition v_4v_22 keeps almost independent of rapidity and remains a rough constant of 12 for all light fragments | [['anisotropic', 'flows', 'v_1', 'v_2', 'v_3', 'and', 'v_4', 'of', 'light', 'fragments', 'up', 'till', 'the', 'mass', 'number', '4', 'as', 'a', 'function', 'of', 'rapidity', 'have', 'been', 'studied', 'for', '25', 'mevnucleon', '40ca', '40ca', 'at', 'large', 'impact', 'parameters', 'by', 'quantum', 'molecular', 'dynamics', 'model', 'a', 'phenomenological', 'scaling', 'behavior', 'of', 'rapidity', 'dependent', 'flow', 'parameters', 'v_n', 'n', '1', '2', '3', 'and', '4', 'has', 'been', 'found', 'as', 'a', 'function', 'of', 'mass', 'number', 'plus', 'a', 'constant', 'term', 'which', 'may', 'arise', 'from', 'the', 'interplay', 'of', 'collective', 'and', 'random', 'motions', 'in', 'addition', 'v_4v_22', 'keeps', 'almost', 'independent', 'of', 'rapidity', 'and', 'remains', 'a', 'rough', 'constant', 'of', '12', 'for', 'all', 'light', 'fragments']] | [-0.1220605642241954, 0.290913964487305, -0.11564332459448386, 0.05900302364193287, 0.0347838688728198, -0.13061166978585198, -0.036906001170060224, 0.34639572121740614, -0.24604118886144505, -0.3368730014094065, -0.020293889635664978, -0.35683964719016525, 0.0061608039049105235, 0.15762937563164256, 0.054565584584686556, 0.12221017947958149, 0.04073545755818486, 0.01752014944963541, -0.040180236297976415, -0.20185968690682635, 0.2771543720161024, 0.007077534859471945, 0.17473519612919808, 0.12820912231259124, 0.12360641072725051, 0.029879049647637865, -0.013466810113894417, 0.044657224462818855, -0.15592258446849883, 0.016415580559867558, 0.21181750062675475, 0.0020975229004367986, 0.2322089992770829, -0.3312367192546347, -0.18343909472687958, 0.10223076687453642, 0.20311299770033545, 0.09181061869405556, -0.05804020972903242, -0.16584870131859153, 0.06047935294198621, -0.23121129898066373, -0.17145622792154475, -0.046164300086303164, 0.1283167580589076, 0.08044673574214667, -0.2630014154560787, 0.14186132904718218, 0.017460752369778364, 0.108787294755661, -0.007157754882709267, -0.21423853927090303, -0.08391051226266727, 0.09874601842122652, 0.10536212331889025, 0.09441142471641609, 0.1568600426610444, -0.12842937201422341, -0.07370075910380974, 0.3870378664320277, -0.02964943565533871, -0.16964691332013337, 0.10486490941923304, -0.15691701402004385, -0.10912853114057294, 0.1794349697524125, 0.22335226468972325, 0.09948169540604289, -0.15534256991075793, 0.09715860399667212, -0.04603351626698811, 0.22359823568042406, 0.12191341135689278, 0.04269135245074009, 0.13723937562215574, 0.15834920507730896, 0.014225322066700644, 0.0616454566809704, -0.10333245464591022, -0.10781048175389159, -0.31262209901067706, -0.06055754233996585, -0.11964215393557415, 0.08344674292356544, -0.144969303861198, -0.10726759353287749, 0.3702865135903979, 0.01952331509445938, 0.31958589970719875, 0.022427665082300947, 0.2571350362766342, 0.061016948900867216, 0.07031723404706446, 0.11606403662986362, 0.26141731534153223, 0.18397555738140242, 0.14720476044284314, -0.20299521041794, 0.04778683308473567, 0.05209059923042342] |
711.0128 | Security Analysis of a Remote User Authentication Scheme with Smart
Cards | Yoon et al. proposed a new efficient remote user authentication scheme using
smart cards to solve the security problems of W. C. Ku and S. M. Chen scheme.
This paper reviews Yoon et al. scheme and then proves that the password change
phase of Yoon et al. scheme is still insecure. This paper also proves that the
Yoon et al. is still vulnerable to parallel session attack.
| cs.CR | yoon et al proposed a new efficient remote user authentication scheme using smart cards to solve the security problems of w c ku and s m chen scheme this paper reviews yoon et al scheme and then proves that the password change phase of yoon et al scheme is still insecure this paper also proves that the yoon et al is still vulnerable to parallel session attack | [['yoon', 'et', 'al', 'proposed', 'a', 'new', 'efficient', 'remote', 'user', 'authentication', 'scheme', 'using', 'smart', 'cards', 'to', 'solve', 'the', 'security', 'problems', 'of', 'w', 'c', 'ku', 'and', 's', 'm', 'chen', 'scheme', 'this', 'paper', 'reviews', 'yoon', 'et', 'al', 'scheme', 'and', 'then', 'proves', 'that', 'the', 'password', 'change', 'phase', 'of', 'yoon', 'et', 'al', 'scheme', 'is', 'still', 'insecure', 'this', 'paper', 'also', 'proves', 'that', 'the', 'yoon', 'et', 'al', 'is', 'still', 'vulnerable', 'to', 'parallel', 'session', 'attack']] | [-0.1696328454053224, -0.002018777736976965, -0.040239232439380976, -0.04475378913721487, -0.13028736769763835, -0.2820769819681213, 0.1482582695872537, 0.3177883571653224, -0.23508047512662944, -0.3909316444213488, 0.032154090368925636, -0.22161114204730561, -0.21844532685493356, 0.19543129235241952, -0.3045444225392012, 0.08815989257600992, 0.014810937345583938, -0.18820690755635056, 0.026225689861145037, -0.45796059483467644, 0.2563999897049768, 0.15455305712547765, 0.34136725151772374, 0.03711509721270248, 0.058722123920695105, 0.00885134356429995, -0.1015142306490843, -0.041900067437273356, -0.14178464910012858, 0.05457198715233592, 0.30255924435262915, 0.18451077236668834, 0.30032693680876227, -0.31179188697167964, -0.18172604676836462, 0.030404816270430585, 0.10368681139548991, 0.12941088163252198, -0.07156889599317046, -0.32374553874468626, 0.18088010997414145, -0.32368288945351076, -0.0621070977814718, -0.03483804956134131, 0.12966907591517293, -0.043019110260447906, -0.343118766364433, 0.016933292501046558, 0.12520364772027998, 0.016281424333522126, 0.08837267186548282, -0.07048131230829367, -0.0068138203263949995, -0.0024516359041097447, -0.05822539551934199, 0.07483341118126217, 0.05809350003168654, 0.03249918967276923, -0.15915233175506566, 0.29484254155141204, 0.05169532153366217, -0.07411132277503832, 0.16183445405965644, 0.086794944994374, -0.18475676806115393, 0.05611964034389204, 0.15480087425059347, 0.15336508743131338, -0.14104221316415871, 0.14239428499400783, -0.15065652868752158, 0.1781017564084214, 0.11027917353464152, -0.03443596333459909, 0.04065065844846306, 0.059110605130111106, 0.027763159069885957, 0.023797721337916244, -0.03552909551271752, -0.03485990856746351, -0.20446064903699696, -0.2127617400751185, -0.20045227343355543, -0.015683868941642455, 0.06944089178595372, -0.07480257076781187, 0.3282522431775882, 0.2321288291184204, 0.15496693227662525, -0.0398573039877993, 0.34951668277160447, -0.016245758383354143, -0.08034798349410212, 0.24852722356401719, 0.19263450364033177, 0.08000493347262547, 0.2320738002769093, -0.15780247588739243, 0.13416083821498637, 0.14629811695568376] |
711.0129 | Fuzzy Geometry of Phase Space and Quantization of Massive Fields | The quantum space-time and the phase space with fuzzy structure is
investigated as the possible quantization formalism. In this theory the state
of nonrelativistic particle corresponds to the element of fuzzy ordered set
(Foset) - fuzzy point. Due to Foset partial (weak) ordering, particle's space
coordinate x acquires principal uncertainty dx. It's shown that Shroedinger
formalism of Quantum Mechanics can be completely derived from consideration of
particle evolution in fuzzy phase space with minimal number of axioms.
| hep-th quant-ph | the quantum spacetime and the phase space with fuzzy structure is investigated as the possible quantization formalism in this theory the state of nonrelativistic particle corresponds to the element of fuzzy ordered set foset fuzzy point due to foset partial weak ordering particles space coordinate x acquires principal uncertainty dx its shown that shroedinger formalism of quantum mechanics can be completely derived from consideration of particle evolution in fuzzy phase space with minimal number of axioms | [['the', 'quantum', 'spacetime', 'and', 'the', 'phase', 'space', 'with', 'fuzzy', 'structure', 'is', 'investigated', 'as', 'the', 'possible', 'quantization', 'formalism', 'in', 'this', 'theory', 'the', 'state', 'of', 'nonrelativistic', 'particle', 'corresponds', 'to', 'the', 'element', 'of', 'fuzzy', 'ordered', 'set', 'foset', 'fuzzy', 'point', 'due', 'to', 'foset', 'partial', 'weak', 'ordering', 'particles', 'space', 'coordinate', 'x', 'acquires', 'principal', 'uncertainty', 'dx', 'its', 'shown', 'that', 'shroedinger', 'formalism', 'of', 'quantum', 'mechanics', 'can', 'be', 'completely', 'derived', 'from', 'consideration', 'of', 'particle', 'evolution', 'in', 'fuzzy', 'phase', 'space', 'with', 'minimal', 'number', 'of', 'axioms']] | [-0.11661959052356463, 0.19857760634575342, -0.10448455767756379, 0.06333675230475697, -0.06467715980535424, -0.10711876481041513, 0.027450999728013837, 0.30754984052524575, -0.31711250542335817, -0.2467240678631021, 0.04449892696937093, -0.26803019637441755, -0.12191079959676072, 0.07087315837034604, -0.06505044449020077, 0.0724607274821972, -0.00799163369575163, 0.12007042199901834, -0.11877995390032821, -0.20168379595113062, 0.3580651312462381, 0.022254027832123276, 0.2638729616301134, -0.03953803185927304, 0.1875367137867756, 0.04610145097044674, -0.008109291801480827, 0.08549810110196483, -0.12710105594158302, 0.07651934791608034, 0.2530076254813655, 0.12775135381348632, 0.1876603672815789, -0.4069488253444433, -0.20489319181699003, 0.10490648751776363, 0.10434276859804585, 0.055891129993707746, 0.01956830221555523, -0.32885146103295926, 0.06918672451472564, -0.18413567195671635, -0.1661027465330286, -0.1017677569384309, 0.04600860087855442, -0.0600198739950822, -0.22065383267378108, 0.04090997240367673, 0.07719798926326975, 0.019790210663592694, -0.06719488377613644, -0.06313091140190089, -0.05476761946291033, 0.02743486301797266, 0.01368588419643709, 0.07288201503468224, 0.14278782813532934, -0.06865200226358767, -0.13182428052548217, 0.41964100955708605, 0.014307499473058694, -0.2748268147886454, 0.11143587735745855, -0.15691950134429578, -0.10462026944937738, 0.13279621616144338, 0.08622924573845356, 0.10126880111449675, -0.12983248579218304, 0.20943749631751907, -0.02430073983614912, 0.17117072191487406, 0.04921734075036806, 0.09965690450012885, 0.21199726902351185, 0.13940900050707766, 0.05890849923614312, 0.14200961730612843, -0.0704747376699202, -0.24128381319019968, -0.3575601426733507, -0.17439349031367266, -0.16339657921973313, 0.05581964196234539, -0.12441430284466273, -0.21722720799506706, 0.3064584180703261, 0.12944798951188252, 0.15713727006663544, -0.019849158332657976, 0.24291721377773462, 0.16360066458287906, -0.002604308316320483, -0.023904594765013287, 0.21445913122639665, 0.20932687701487512, 0.07293102795232993, -0.21535785971964533, -0.013906163459240988, 0.15156881765437288] |
711.013 | The Shubnikov-de Haas effect in multiband quasi-two dimensional metals | We analyze the behavior of the longitudinal conductivity $\sigma_{zz}$ in a
field perpendicular to the highly conducting plane of a quasi-2D {\em
multiband} metal in the case of closed system and open systems where $\tau$ is
fixed, $\tau$ oscillates due to intra-band scattering and $\tau$ oscillates due
to inter-band scattering. In all but one case, we find that there are also
mixing frequencies present -- however they exhibit different qualitative
behaviors, as befits their different origins, and in the case of inter-band
scattering in an opensystem, may in fact be absent in the dHvA oscillations of
that system.
| cond-mat.mes-hall cond-mat.stat-mech | we analyze the behavior of the longitudinal conductivity sigma_zz in a field perpendicular to the highly conducting plane of a quasi2d em multiband metal in the case of closed system and open systems where tau is fixed tau oscillates due to intraband scattering and tau oscillates due to interband scattering in all but one case we find that there are also mixing frequencies present however they exhibit different qualitative behaviors as befits their different origins and in the case of interband scattering in an opensystem may in fact be absent in the dhva oscillations of that system | [['we', 'analyze', 'the', 'behavior', 'of', 'the', 'longitudinal', 'conductivity', 'sigma_zz', 'in', 'a', 'field', 'perpendicular', 'to', 'the', 'highly', 'conducting', 'plane', 'of', 'a', 'quasi2d', 'em', 'multiband', 'metal', 'in', 'the', 'case', 'of', 'closed', 'system', 'and', 'open', 'systems', 'where', 'tau', 'is', 'fixed', 'tau', 'oscillates', 'due', 'to', 'intraband', 'scattering', 'and', 'tau', 'oscillates', 'due', 'to', 'interband', 'scattering', 'in', 'all', 'but', 'one', 'case', 'we', 'find', 'that', 'there', 'are', 'also', 'mixing', 'frequencies', 'present', 'however', 'they', 'exhibit', 'different', 'qualitative', 'behaviors', 'as', 'befits', 'their', 'different', 'origins', 'and', 'in', 'the', 'case', 'of', 'interband', 'scattering', 'in', 'an', 'opensystem', 'may', 'in', 'fact', 'be', 'absent', 'in', 'the', 'dhva', 'oscillations', 'of', 'that', 'system']] | [-0.21779717893589326, 0.19938066105982985, -0.04518194973814426, 0.07226686872489098, -0.031033740342911526, -0.1515338900066989, 0.03269846451987234, 0.37533858545201343, -0.2819059205519938, -0.23010302231330232, 0.0306129999345975, -0.31810878288269656, -0.16595746165371894, 0.2124533767082258, 0.00469330524468852, -0.02829231329492687, 0.010902404564327187, -0.027981774223795563, -0.053602700895802644, -0.18025325736110145, 0.303454328198754, -0.027729325502938062, 0.27176275520019005, 0.06597646425199724, -0.0039263114515576784, 0.028161111100548013, 0.050022677206386305, 0.02938938647695846, -0.08887649119859226, -0.01208821737409099, 0.26636557584417236, -0.030877072028047646, 0.1711185085059134, -0.4236229509691295, -0.15988805670214376, 0.07603503650860842, 0.1991867600536915, 0.11924656320689726, -0.015825061991657178, -0.24010541026250065, -1.3215436129686759e-05, -0.10787029146485645, -0.12596504952873766, -0.05177035163031872, 0.06765436281608514, -0.019301488423076718, -0.23924172969208551, 0.1137500896557239, 0.05790308140429486, 0.05984926640449725, -0.11369619963296987, -0.09860906668112988, -0.01661521060267444, 0.1158520235180778, 0.11954994593535732, 0.02968757773375081, 0.09191446519965671, -0.133303464683176, -0.07333522097966105, 0.4055793038233347, -0.09398030607298631, -0.1576282225798854, 0.22473139387853058, -0.23964846768349254, -0.07543015139676708, 0.1613240700272709, 0.1682828458448507, 0.09179899790660315, -0.13401356708143175, 0.10156207724976037, -0.025959703283979722, 0.13690080937506996, 0.05516025450167045, 0.09565893120910089, 0.2261812595036073, 0.1585384084910308, 0.02041768305694934, 0.12121262096862319, -0.10825698300427997, -0.05679085164225286, -0.26264464077011673, -0.12619599442660195, -0.1483471463074351, 0.08234792894002088, -0.019823749935687713, -0.21887622622907468, 0.3769662691509476, 0.17014776046614982, 0.2325309092543789, -0.012637075461620061, 0.2650149693597377, 0.1426415041211474, 0.04397311396344766, 0.06307599841396219, 0.29793051311496604, 0.12873399297025093, 0.13376846309444032, -0.29171428660929355, 0.05171883615578726, -0.0576974149486146] |
711.0131 | Tensor products of maximal abelian subalgebras of C*-algebras | It is shown that if $C_1$ and $C_2$ are maximal abelian self-adjoint
subalgebras (masas) of C*-algebras $A_1$ and $A_2$, respectively, then the
completion $C_1\otimes C_2$ of the algebraic tensor product $C_1\odot C_2$ of
$C_1$ and $C_2$ in any C*-tensor product $A_1\otimes_{\beta} A_2$ is maximal
abelian provided that $C_1$ has the extension property of Kadison and Singer
and $C_2$ contains an approximate identity for $A_2$. An example is given to
show that $C_1\otimes C_2$ can fail to be a masa in $A_1\otimes_{\beta} A_2$
with $A_1$ and $A_2$ unital if neither $C_1$ nor $C_2$ has the extension
property. This gives an answer to a long-standing question, but leaves open
some other interesting problems, one of which turns out to have a potentially
intriguing implication for the Kadison-Singer extension problem.
| math.FA | it is shown that if c_1 and c_2 are maximal abelian selfadjoint subalgebras masas of calgebras a_1 and a_2 respectively then the completion c_1otimes c_2 of the algebraic tensor product c_1odot c_2 of c_1 and c_2 in any ctensor product a_1otimes_beta a_2 is maximal abelian provided that c_1 has the extension property of kadison and singer and c_2 contains an approximate identity for a_2 an example is given to show that c_1otimes c_2 can fail to be a masa in a_1otimes_beta a_2 with a_1 and a_2 unital if neither c_1 nor c_2 has the extension property this gives an answer to a longstanding question but leaves open some other interesting problems one of which turns out to have a potentially intriguing implication for the kadisonsinger extension problem | [['it', 'is', 'shown', 'that', 'if', 'c_1', 'and', 'c_2', 'are', 'maximal', 'abelian', 'selfadjoint', 'subalgebras', 'masas', 'of', 'calgebras', 'a_1', 'and', 'a_2', 'respectively', 'then', 'the', 'completion', 'c_1otimes', 'c_2', 'of', 'the', 'algebraic', 'tensor', 'product', 'c_1odot', 'c_2', 'of', 'c_1', 'and', 'c_2', 'in', 'any', 'ctensor', 'product', 'a_1otimes_beta', 'a_2', 'is', 'maximal', 'abelian', 'provided', 'that', 'c_1', 'has', 'the', 'extension', 'property', 'of', 'kadison', 'and', 'singer', 'and', 'c_2', 'contains', 'an', 'approximate', 'identity', 'for', 'a_2', 'an', 'example', 'is', 'given', 'to', 'show', 'that', 'c_1otimes', 'c_2', 'can', 'fail', 'to', 'be', 'a', 'masa', 'in', 'a_1otimes_beta', 'a_2', 'with', 'a_1', 'and', 'a_2', 'unital', 'if', 'neither', 'c_1', 'nor', 'c_2', 'has', 'the', 'extension', 'property', 'this', 'gives', 'an', 'answer', 'to', 'a', 'longstanding', 'question', 'but', 'leaves', 'open', 'some', 'other', 'interesting', 'problems', 'one', 'of', 'which', 'turns', 'out', 'to', 'have', 'a', 'potentially', 'intriguing', 'implication', 'for', 'the', 'kadisonsinger', 'extension', 'problem']] | [-0.17998142417264554, 0.14977828232410695, -0.05103419823419364, 0.012360751634601076, -0.11827545907714816, -0.2649333898291053, -0.03767550952702028, 0.4056387326496913, -0.34576923343673593, -0.12371546781973028, 0.1556043325308863, -0.3092349563099322, -0.1073276126360307, 0.18650751583398412, -0.11052641780382846, -0.03532724992799588, 0.0267998534822493, 0.1536139423775746, -0.04156534394943995, -0.2795231295902221, 0.3389845615344458, -0.09781001760532744, 0.18760417849130806, 0.1572592105205003, 0.0655431137420237, -0.0385791443186761, 0.00932500256439213, -0.057699766193257, -0.1738123261439781, 0.09108439576334977, 0.2856336683950952, 0.14530765074381574, 0.2178158223911448, -0.2948811710583138, -0.1147650697070067, 0.23982921182406974, 0.18592990870343246, -0.016299769350090903, -0.03647199766252373, -0.1762102425067884, 0.11155088902756449, -0.17929557692564901, -0.11995098494245197, -0.08425703616507474, 0.14478990677591475, -0.07742738815360382, -0.33132803987818543, 0.05412879278577986, 0.1276433249385875, 0.03709150838558791, -0.031764334493286174, -0.15747965407008152, -0.07087979505037065, 0.11755327846412165, 0.0238660056238512, 0.056591998458435364, 0.02301744597994524, -0.04833615301763754, -0.12882977867018064, 0.42878346061944717, -0.05712482257608752, -0.1976778212968488, 0.08648200183448412, -0.12940671749138197, -0.19333963704173315, 0.07173012656571924, -0.04787967050997693, 0.1221510994660317, -0.026125429493955292, 0.19581912773695667, -0.15547900109506044, 0.12820323082126037, 0.08983471470915513, 0.012806496937896629, 0.100171765182778, -0.007381940581148765, 0.09817935498889352, 0.0995061536673571, 0.11620945895670867, 0.03071230642696018, -0.36990302723267526, -0.15759733667192583, -0.13510850784903178, 0.1992662562601045, -0.09775796674929567, -0.14300020740698588, 0.33088080708670325, 0.08136114206729976, 0.2148676971894437, 0.04285608811330691, 0.18245794008806593, 0.0425664910466456, 0.0727258035760434, 0.05954311852587662, 0.14349381185683505, 0.2670000474212966, -0.058875485121074024, -0.1935759408239153, 0.015739402077237112, 0.19857166748738192] |
711.0132 | Kernel Convergence Estimates for Diffusions with Continuous Coefficients | We are interested in the kernel of one-dimensional diffusion equations with
continuous coefficients as evaluated by means of explicit discretization
schemes of uniform step $h>0$ in the limit as $h\to0$. We consider both
semidiscrete triangulations with continuous time and explicit Euler schemes
with time step small enough for the method to be stable. We find sharp uniform
bounds for the convergence rate as a function of the degree of smoothness which
we conjecture. The bounds also apply to the time derivative of the kernel and
its first two space derivatives. Our proof is constructive and is based on a
new technique of path conditioning for Markov chains and a renormalization
group argument. Convergence rates depend on the degree of smoothness and
H\"older differentiability of the coefficients. We find that the fastest
convergence rate is of order $O(h^2)$ and is achieved if the coefficients have
a bounded second derivative. Otherwise, explicit schemes still converge for any
degree of H\"older differentiability except that the convergence rate is
slower. H\"older continuity itself is not strictly necessary and can be relaxed
by an hypothesis of uniform continuity.
| math.NA math.PR | we are interested in the kernel of onedimensional diffusion equations with continuous coefficients as evaluated by means of explicit discretization schemes of uniform step h0 in the limit as hto0 we consider both semidiscrete triangulations with continuous time and explicit euler schemes with time step small enough for the method to be stable we find sharp uniform bounds for the convergence rate as a function of the degree of smoothness which we conjecture the bounds also apply to the time derivative of the kernel and its first two space derivatives our proof is constructive and is based on a new technique of path conditioning for markov chains and a renormalization group argument convergence rates depend on the degree of smoothness and holder differentiability of the coefficients we find that the fastest convergence rate is of order oh2 and is achieved if the coefficients have a bounded second derivative otherwise explicit schemes still converge for any degree of holder differentiability except that the convergence rate is slower holder continuity itself is not strictly necessary and can be relaxed by an hypothesis of uniform continuity | [['we', 'are', 'interested', 'in', 'the', 'kernel', 'of', 'onedimensional', 'diffusion', 'equations', 'with', 'continuous', 'coefficients', 'as', 'evaluated', 'by', 'means', 'of', 'explicit', 'discretization', 'schemes', 'of', 'uniform', 'step', 'h0', 'in', 'the', 'limit', 'as', 'hto0', 'we', 'consider', 'both', 'semidiscrete', 'triangulations', 'with', 'continuous', 'time', 'and', 'explicit', 'euler', 'schemes', 'with', 'time', 'step', 'small', 'enough', 'for', 'the', 'method', 'to', 'be', 'stable', 'we', 'find', 'sharp', 'uniform', 'bounds', 'for', 'the', 'convergence', 'rate', 'as', 'a', 'function', 'of', 'the', 'degree', 'of', 'smoothness', 'which', 'we', 'conjecture', 'the', 'bounds', 'also', 'apply', 'to', 'the', 'time', 'derivative', 'of', 'the', 'kernel', 'and', 'its', 'first', 'two', 'space', 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711.0133 | Free Fermions and Thermal AdS/CFT | The dynamics of finite temperature U(N) gauge theories on $S^3$ can be
described, at weak coupling, by an effective unitary matrix model. Here we
present an exact solution to these models, for any value of $N$, in terms of a
sum over representations. Taking the large $N$ limit of this solution provides
a new perspective on the deconfinement transition which is supposed to be dual
to the Hawking-Page transition. The large $N$ phase transition manifests itself
here in a manner similar to the Douglas-Kazakov phase transition in 2d
Yang-Mills theory. We carry out a complete analysis of the saddle
representation in the simplest case involving only the order parameter ${\rm
Tr}U$. We find that the saddle points corresponding to thermal $AdS$, the small
black hole and the large black hole can all be described in terms of free
fermions. They all admit a simple phase space description {\it a la} the BPS
geometries of Lin, Lunin and Maldacena.
| hep-th | the dynamics of finite temperature un gauge theories on s3 can be described at weak coupling by an effective unitary matrix model here we present an exact solution to these models for any value of n in terms of a sum over representations taking the large n limit of this solution provides a new perspective on the deconfinement transition which is supposed to be dual to the hawkingpage transition the large n phase transition manifests itself here in a manner similar to the douglaskazakov phase transition in 2d yangmills theory we carry out a complete analysis of the saddle representation in the simplest case involving only the order parameter rm tru we find that the saddle points corresponding to thermal ads the small black hole and the large black hole can all be described in terms of free fermions they all admit a simple phase space description it a la the bps geometries of lin lunin and maldacena | [['the', 'dynamics', 'of', 'finite', 'temperature', 'un', 'gauge', 'theories', 'on', 's3', 'can', 'be', 'described', 'at', 'weak', 'coupling', 'by', 'an', 'effective', 'unitary', 'matrix', 'model', 'here', 'we', 'present', 'an', 'exact', 'solution', 'to', 'these', 'models', 'for', 'any', 'value', 'of', 'n', 'in', 'terms', 'of', 'a', 'sum', 'over', 'representations', 'taking', 'the', 'large', 'n', 'limit', 'of', 'this', 'solution', 'provides', 'a', 'new', 'perspective', 'on', 'the', 'deconfinement', 'transition', 'which', 'is', 'supposed', 'to', 'be', 'dual', 'to', 'the', 'hawkingpage', 'transition', 'the', 'large', 'n', 'phase', 'transition', 'manifests', 'itself', 'here', 'in', 'a', 'manner', 'similar', 'to', 'the', 'douglaskazakov', 'phase', 'transition', 'in', '2d', 'yangmills', 'theory', 'we', 'carry', 'out', 'a', 'complete', 'analysis', 'of', 'the', 'saddle', 'representation', 'in', 'the', 'simplest', 'case', 'involving', 'only', 'the', 'order', 'parameter', 'rm', 'tru', 'we', 'find', 'that', 'the', 'saddle', 'points', 'corresponding', 'to', 'thermal', 'ads', 'the', 'small', 'black', 'hole', 'and', 'the', 'large', 'black', 'hole', 'can', 'all', 'be', 'described', 'in', 'terms', 'of', 'free', 'fermions', 'they', 'all', 'admit', 'a', 'simple', 'phase', 'space', 'description', 'it', 'a', 'la', 'the', 'bps', 'geometries', 'of', 'lin', 'lunin', 'and', 'maldacena']] | [-0.1483288903918141, 0.1552816375839904, -0.08898586785137842, 0.06442091285908312, -0.0450972049656218, -0.11995633002488484, 0.049622432606536426, 0.30127846932958197, -0.20652957911060862, -0.26109929613752847, 0.09033017552566797, -0.29812520836138084, -0.15693983144887216, 0.12009469795930848, -0.021291790594924476, 0.009398848155647505, -0.01731700898749353, 0.0669616919356808, -0.14206425716755675, -0.22661639629757102, 0.3052579074614693, 0.024488343992801028, 0.261025317254936, 0.043395053053015394, 0.09395957644144663, -0.002075002509570103, 0.0742247359688273, 0.04883724071739, -0.140809516801399, 0.04525933531555052, 0.2607454505281958, 0.05871608330797451, 0.1697775208467877, -0.4043967652582575, -0.21040175292534824, 0.12890123767790065, 0.16617516237988927, 0.14472853897148272, -0.02170645025458564, -0.2801535875651443, 0.06631115013497728, -0.18709643281918148, -0.13042251686816092, -0.1152087675092176, 0.007228965467266455, -0.07902372350821955, -0.2649273520093883, 0.05857150600040538, 0.03917426996145256, 0.007059084286889698, -0.058414196193253595, -0.06045573760160021, -0.038269250924828684, 0.11154605498643522, 0.040441201101617204, 0.06257245990247289, 0.09181094282495353, -0.12957375666238605, -0.08420366083884824, 0.37055069103813437, -0.09211496941382773, -0.1952135294345738, 0.1756694464033611, -0.16926083157039423, -0.1332559516724152, 0.14543926560237438, 0.12452667037649906, 0.191460254572662, -0.11036135194398745, 0.1660391033320029, -0.059989170495515005, 0.15542047401916684, 0.050853873219906906, 0.01989784379360042, 0.2714477783331317, 0.12875403553436074, 0.04373067748641501, 0.1385699753344495, -0.01480691671029582, -0.14148379021760407, -0.3593110439096448, -0.15329548285882094, -0.16537931682600912, 0.1012070824980111, -0.15133039714179822, -0.2029702402268171, 0.35101960008504174, 0.10780397159507192, 0.22135576367504597, 0.024544235166380348, 0.19297524307017463, 0.1509747770084422, 0.04306838093502329, 0.07047855622087947, 0.24978273228559456, 0.11430940101707142, 0.09082928643181708, -0.22953507195291686, -0.06667439005178505, 0.17002104910066987] |
711.0134 | Calorimeter Assisted Tracking Algorithm for SiD | Calorimeter-assisted track finding algorithm takes advantage of the finely
segmented electromagnetic calorimeter proposed for the SiD detector concept by
looking for "MIP stubs" produced by charged particles in the calorimeter, and
using them as seeds for pattern recognition in the tracker. The algorithm
allows for efficient reconstruction of tracks that cannot be found using seeds
provided by the vertex detector, even if standalone pattern recognition in the
outer tracker is difficult. The algorithm has been implemented as a package in
the org.lcsim framework. Current status of the package and its performance in
non-prompt tracks reconstruction are described.
| physics.ins-det | calorimeterassisted track finding algorithm takes advantage of the finely segmented electromagnetic calorimeter proposed for the sid detector concept by looking for mip stubs produced by charged particles in the calorimeter and using them as seeds for pattern recognition in the tracker the algorithm allows for efficient reconstruction of tracks that cannot be found using seeds provided by the vertex detector even if standalone pattern recognition in the outer tracker is difficult the algorithm has been implemented as a package in the orglcsim framework current status of the package and its performance in nonprompt tracks reconstruction are described | [['calorimeterassisted', 'track', 'finding', 'algorithm', 'takes', 'advantage', 'of', 'the', 'finely', 'segmented', 'electromagnetic', 'calorimeter', 'proposed', 'for', 'the', 'sid', 'detector', 'concept', 'by', 'looking', 'for', 'mip', 'stubs', 'produced', 'by', 'charged', 'particles', 'in', 'the', 'calorimeter', 'and', 'using', 'them', 'as', 'seeds', 'for', 'pattern', 'recognition', 'in', 'the', 'tracker', 'the', 'algorithm', 'allows', 'for', 'efficient', 'reconstruction', 'of', 'tracks', 'that', 'can', 'not', 'be', 'found', 'using', 'seeds', 'provided', 'by', 'the', 'vertex', 'detector', 'even', 'if', 'standalone', 'pattern', 'recognition', 'in', 'the', 'outer', 'tracker', 'is', 'difficult', 'the', 'algorithm', 'has', 'been', 'implemented', 'as', 'a', 'package', 'in', 'the', 'orglcsim', 'framework', 'current', 'status', 'of', 'the', 'package', 'and', 'its', 'performance', 'in', 'nonprompt', 'tracks', 'reconstruction', 'are', 'described']] | [-0.027459852006965473, 0.09739616100462929, -0.09947814170542794, 0.04482339569585747, -0.037820095157561205, -0.17685183659098888, -0.08614620171526137, 0.4152036778784047, -0.21980805403048484, -0.40149717626627535, 0.06668867672245445, -0.27275319477257653, -0.09056539678567788, 0.1881778200089078, -0.03984652390378566, 0.10923174854967026, 0.1634115750687973, 0.049735266319961134, -0.03334018181006589, -0.19903669703247337, 0.19637883203783227, 0.15791016286918116, 0.2773609356590896, 0.00601672437430049, 0.14809791848044065, 0.03571221537034338, -0.06584733707131818, 0.05126517316481719, -0.052242889025743956, 0.04125607354217209, 0.3038638962849897, 0.23218667256393624, 0.18866290588630363, -0.4274045312971187, -0.10596666533577566, 0.0612471890829814, 0.1817305908164902, 0.06171364061689625, -0.14004919694464965, -0.31891384286185104, 0.16202817606002404, -0.18783475852493817, -0.0824066520872293, -0.028761409786966396, -0.033231389398376145, -0.010601015538365269, -0.27141601259063464, -0.006853916250596133, 0.04429112516239305, -0.029266980825923383, -0.010243853420130714, -0.13682788037112914, 0.00849758752156049, 0.12967903561366256, 0.0027156918537608967, 0.052550873767662175, 0.17066458682529628, -0.15171037052641623, -0.1501513141556643, 0.35115845462617773, -0.03141599363152636, -0.22196809614736898, 0.14100661016224572, -0.11462599557611004, -0.07452329526131507, 0.19316673430148512, 0.2108076742151752, 0.1427972669674394, -0.22760551092990985, 0.07517955043666309, -0.003800585460946119, 0.15197490751355267, 0.043581149167342424, -0.019705204249476083, 0.21740843433508417, 0.2685965163691435, 0.0515871972796352, 0.17468449195560729, -0.13519812358117633, -0.013515375389639908, -0.26671607066721964, -0.14972290304528238, -0.18037519959519463, -0.10549366951318007, -0.04291621869272907, -0.14922031042321274, 0.4349493630118862, 0.13038288622919936, 0.15392845856452672, -0.024093042918442126, 0.35047507064882666, 0.022538726952916477, 0.12481165706170334, 0.09210979556761838, 0.2557510095333176, 0.06135258935925473, 0.13047952222405002, -0.2056202672586854, 0.12600366205636723, 0.13026849669404328] |
711.0135 | Noncommutative Vitali-Hahn-Saks Theorem holds precisely for finite
$W^\ast$-algebras | It is shown that the bona fide generalization of the Vitali-Hahn-Saks Theorem
to von Neumann algebras is possible if, and only if, the algebra is finite.
This settles the problem on the noncommutative Vitali-Hahn-Saks Theorem
completely and provides new means of characterizing finite von Neumann
algebras.
| math.OA math.FA | it is shown that the bona fide generalization of the vitalihahnsaks theorem to von neumann algebras is possible if and only if the algebra is finite this settles the problem on the noncommutative vitalihahnsaks theorem completely and provides new means of characterizing finite von neumann algebras | [['it', 'is', 'shown', 'that', 'the', 'bona', 'fide', 'generalization', 'of', 'the', 'vitalihahnsaks', 'theorem', 'to', 'von', 'neumann', 'algebras', 'is', 'possible', 'if', 'and', 'only', 'if', 'the', 'algebra', 'is', 'finite', 'this', 'settles', 'the', 'problem', 'on', 'the', 'noncommutative', 'vitalihahnsaks', 'theorem', 'completely', 'and', 'provides', 'new', 'means', 'of', 'characterizing', 'finite', 'von', 'neumann', 'algebras']] | [-0.06745273977139732, 0.14008833954788066, -0.13665343516252257, 0.03536559487375515, -0.128626221452247, -0.21241944744674998, -0.010916078463196754, 0.2233926877220669, -0.362076233077625, -0.1463327783329243, 0.14456058395179835, -0.2628844952718778, -0.10286754615266215, 0.22901012073270977, -0.23782430024055595, 0.019560399930924177, 0.09903383466669104, 0.11115612978623672, -0.09930698665795551, -0.315720069560815, 0.41838893935677, 0.010784018647179684, 0.2544773608255623, 0.11394822111734274, 0.11518184151712128, 0.0426191883161664, -0.044398869684135374, 0.047819684111428534, -0.17204379770902795, 0.028901842060308394, 0.26104549886870454, 0.14748417974492026, 0.32007702423090284, -0.29748122787780384, -0.10399437012066218, 0.18848882761614566, 0.13340879953466356, 0.05539527484639124, 0.023020098226631737, -0.2856858979317952, 0.12418835517019033, -0.248231080530042, -0.16039722834036432, -0.062327504962344064, 0.10677681300281124, -0.0843475521753796, -0.23337968419813973, 0.16060311123940416, 0.16906211601400917, 0.07552394806572754, -0.12234014778567309, -0.03022794558835978, -0.05510424602438103, 0.07745993962850083, -0.09853271278023551, -0.016420170992866835, 0.06476787240667777, 0.0010444475814107466, -0.12590124308851294, 0.3408861230550842, 0.06232617245140401, -0.22641363765367054, 0.16970755261453715, -0.21054287656972354, -0.1529193679717454, -0.002875803377140652, -0.060519786551594734, 0.12274162073365667, -0.08895580119199374, 0.1978867854896552, -0.16460353165695613, 0.08012734859419818, 0.06710175623778593, 0.011960829110731456, 0.14041444087739696, 0.09861688773063096, 0.13129592526026748, 0.20601312316615472, 0.06090533384651115, -0.06758624654056886, -0.3537849546833472, -0.18347957836125384, -0.21370045964696063, 0.14868725955867293, -0.06618886113640408, -0.2425362288506056, 0.3298670557666231, 0.10057210877791724, 0.07884943758306856, 0.06680038884620774, 0.2214327413080768, 0.16475088142959232, 0.1145947443914007, 0.09173626690806652, 0.17268421183424917, 0.3588752329603515, 0.02733874029945582, -0.18689265711476433, -0.0073746079367331486, 0.23921624102248726] |
711.0136 | Critical Current Calculations For Long $0$-$\pi$ Josephson Junctions | A zigzag boundary between a $d_{x^2-y^2}$ and an $s$-wave superconductor is
believed to behave like a long Josephson junction with alternating sections of
$0$ and $\pi$ symmetry. We calculate the field-dependent critical current of
such a junction, using a simple model. The calculation involves discretizing
the partial differential equation for the phase difference across a long
$0$-$\pi$ junction. In this form, the equations describe a hybrid ladder of
inductively coupled small $0$ and $\pi$ resistively and capacitively shunted
Josephson junctions (RCSJ's). The calculated critical critical current density
$J_c(H_a)$ is maximum at non-zero applied magnetic field $H_a$, and depends
strongly on the ratio of Josephson penetration depth $\lambda_J$ to facet
length $L_f$. If $\lambda_J/L_f \gg 1$ and the number of facets is large, there
is a broad range of $H_a$ where $J_c(H_a)$ is less than $2\%$ of the maximum
critical current density of a long $0$ junction. All of these features are in
qualitative agreement with recent experiments. In the limit $\lambda_J/L_f \to
\infty$, our model reduces to a previously-obtained analytical superposition
result for $J_c(H_a)$. In the same limit, we also obtain an analytical
expression for the effective field-dependent quality factor $Q_J(H_a)$, finding
that $Q_J(H_a) \propto \sqrt{J_c(H_a)}$. We suggest that measuring the
field-dependence of $Q_J(H_a)$ would provide further evidence that this RCSJ
model applies to a long $0$-$\pi$ junction between a d-wave and an s-wave
superconductor.
| cond-mat.supr-con | a zigzag boundary between a d_x2y2 and an swave superconductor is believed to behave like a long josephson junction with alternating sections of 0 and pi symmetry we calculate the fielddependent critical current of such a junction using a simple model the calculation involves discretizing the partial differential equation for the phase difference across a long 0pi junction in this form the equations describe a hybrid ladder of inductively coupled small 0 and pi resistively and capacitively shunted josephson junctions rcsjs the calculated critical critical current density j_ch_a is maximum at nonzero applied magnetic field h_a and depends strongly on the ratio of josephson penetration depth lambda_j to facet length l_f if lambda_jl_f gg 1 and the number of facets is large there is a broad range of h_a where j_ch_a is less than 2 of the maximum critical current density of a long 0 junction all of these features are in qualitative agreement with recent experiments in the limit lambda_jl_f to infty our model reduces to a previouslyobtained analytical superposition result for j_ch_a in the same limit we also obtain an analytical expression for the effective fielddependent quality factor q_jh_a finding that q_jh_a propto sqrtj_ch_a we suggest that measuring the fielddependence of q_jh_a would provide further evidence that this rcsj model applies to a long 0pi junction between a dwave and an swave superconductor | [['a', 'zigzag', 'boundary', 'between', 'a', 'd_x2y2', 'and', 'an', 'swave', 'superconductor', 'is', 'believed', 'to', 'behave', 'like', 'a', 'long', 'josephson', 'junction', 'with', 'alternating', 'sections', 'of', '0', 'and', 'pi', 'symmetry', 'we', 'calculate', 'the', 'fielddependent', 'critical', 'current', 'of', 'such', 'a', 'junction', 'using', 'a', 'simple', 'model', 'the', 'calculation', 'involves', 'discretizing', 'the', 'partial', 'differential', 'equation', 'for', 'the', 'phase', 'difference', 'across', 'a', 'long', '0pi', 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711.0137 | Comment on ``Time-dependent quasi-Hermitian Hamiltonians and the unitary
quantum evolution'' | In arXiv:0710.5653v1 M. Znojil claims that he has found and corrected an
error in my paper: [Phys. Lett. B \textbf{650}, 208 (2007), arXiv:0706.1872v2]
and that it is possible to escape its main conclusion, namely that the
unitarity of the time-evolution and observability of the Hamiltonian imply
time-independence of the metric operator. In this note I give a very short
calculation showing that the analysis given by M. Znojil also leads to the same
conclusion as of my above-mentioned paper. This is actually a reconfirmation of
the validity of the results of the latter paper.
| quant-ph | in arxiv07105653v1 m znojil claims that he has found and corrected an error in my paper phys lett b textbf650 208 2007 arxiv07061872v2 and that it is possible to escape its main conclusion namely that the unitarity of the timeevolution and observability of the hamiltonian imply timeindependence of the metric operator in this note i give a very short calculation showing that the analysis given by m znojil also leads to the same conclusion as of my abovementioned paper this is actually a reconfirmation of the validity of the results of the latter paper | [['in', 'arxiv07105653v1', 'm', 'znojil', 'claims', 'that', 'he', 'has', 'found', 'and', 'corrected', 'an', 'error', 'in', 'my', 'paper', 'phys', 'lett', 'b', 'textbf650', '208', '2007', 'arxiv07061872v2', 'and', 'that', 'it', 'is', 'possible', 'to', 'escape', 'its', 'main', 'conclusion', 'namely', 'that', 'the', 'unitarity', 'of', 'the', 'timeevolution', 'and', 'observability', 'of', 'the', 'hamiltonian', 'imply', 'timeindependence', 'of', 'the', 'metric', 'operator', 'in', 'this', 'note', 'i', 'give', 'a', 'very', 'short', 'calculation', 'showing', 'that', 'the', 'analysis', 'given', 'by', 'm', 'znojil', 'also', 'leads', 'to', 'the', 'same', 'conclusion', 'as', 'of', 'my', 'abovementioned', 'paper', 'this', 'is', 'actually', 'a', 'reconfirmation', 'of', 'the', 'validity', 'of', 'the', 'results', 'of', 'the', 'latter', 'paper']] | [-0.10779365300831775, 0.067970203364835, -0.11063536286594407, 0.008424957678402943, -0.032178030579641304, -0.10008583154268963, 0.06454527954901418, 0.2999973087421348, -0.1600448640103462, -0.30380798409622845, 0.06264091272192497, -0.253449182016074, -0.17667767131120288, 0.15623129731024143, -0.14884972584343725, -0.01627832347769991, 0.09823971051943078, 0.03175514599468599, -0.05798647983402755, -0.29934909318133146, 0.298318732229452, 0.11106868519858328, 0.21224327574944704, 0.11909328954374437, 0.053581137596929986, 0.004745040539531938, -0.03308596589191947, -0.004407145403405671, -0.16681871694038242, 0.10564392918260188, 0.1953968361961425, 0.1552800357101425, 0.2687210549590408, -0.340584502785757, -0.13690506346443648, 0.08045839677034046, 0.11634605091443205, 0.08196699775515064, -0.00607952170114043, -0.2882383258372385, 0.09175319167514963, -0.1882290358164458, -0.14403836115673985, -0.026595400055489875, 0.11758594599462324, -0.01637266895243077, -0.22848776312324628, 0.0792286054363289, 0.1758291419064726, 0.024779153046428515, -0.02733402143568001, -0.10107548537874414, -0.007931582309225554, 0.04539858860774867, 0.09340686021092277, 0.07931752001706471, 0.03218276244938694, -0.03813661306956282, -0.07880561682145282, 0.3737883164236943, -0.0586415225444662, -0.12578471489150517, 0.18027431259347346, -0.1533222614927718, -0.16212934037289953, 0.08571922000727906, 0.0869100536595309, 0.1116602674166682, -0.15930992260735521, 0.11888317662473988, -0.10920711374661375, 0.1494678155649253, 0.0766188832680865, 0.0013293150051306652, 0.12440197108693982, 0.09137757569025722, 0.02539003409585485, 0.07063818127367526, -0.05472005451078056, -0.05180281764259362, -0.39241006209324764, -0.2012538526317365, -0.19812404415920698, 0.10803980785997845, 0.0008250139082559154, -0.12898011226207018, 0.38513593203938934, 0.2108552384801129, 0.20910683421728513, 0.048411628852287926, 0.22000474743144485, 0.12706502176125242, -0.01518880030308019, 0.09294675716188966, 0.2854132475832137, 0.16555300812857845, 0.10734696541186822, -0.22065752260987798, 0.03591468391479344, 0.05518410131535543] |
711.0138 | Analogues of the Smale and Hirsch Theorems for Cooperative Boolean and
Other Discrete Systems | Discrete dynamical systems defined on the state space {0,1,...,p-1}^n have
been used in multiple applications, most recently for the modeling of gene and
protein networks. In this paper we study to what extent well-known theorems by
Smale and Hirsch, which form part of the theory of (continuous) monotone
dynamical systems, generalize or fail to do so in the discrete case.
We show that that arbitrary m-dimensional systems cannot necessarily be
embedded into n-dimensional cooperative systems for n=m+1, as in the Smale
theorem for the continuous case, but we show that this is possible for n=m+2 as
long as p is sufficiently large.
We also prove that a natural discrete analogue of strong cooperativity
implies nontrivial bounds on the lengths of periodic orbits and imposes a
condition akin to Lyapunov stability on all attractors. Finally, we explore
several natural candidates for definitions of irreducibility of a discrete
system. While some of these notions imply the strong cooperativity of a given
cooperative system and impose even tighter bounds on the lengths of periodic
orbits than strong cooperativity alone, other plausible definitions allow the
existence of exponentially long periodic orbits.
| math.DS | discrete dynamical systems defined on the state space 01p1n have been used in multiple applications most recently for the modeling of gene and protein networks in this paper we study to what extent wellknown theorems by smale and hirsch which form part of the theory of continuous monotone dynamical systems generalize or fail to do so in the discrete case we show that that arbitrary mdimensional systems cannot necessarily be embedded into ndimensional cooperative systems for nm1 as in the smale theorem for the continuous case but we show that this is possible for nm2 as long as p is sufficiently large we also prove that a natural discrete analogue of strong cooperativity implies nontrivial bounds on the lengths of periodic orbits and imposes a condition akin to lyapunov stability on all attractors finally we explore several natural candidates for definitions of irreducibility of a discrete system while some of these notions imply the strong cooperativity of a given cooperative system and impose even tighter bounds on the lengths of periodic orbits than strong cooperativity alone other plausible definitions allow the existence of exponentially long periodic orbits | [['discrete', 'dynamical', 'systems', 'defined', 'on', 'the', 'state', 'space', '01p1n', 'have', 'been', 'used', 'in', 'multiple', 'applications', 'most', 'recently', 'for', 'the', 'modeling', 'of', 'gene', 'and', 'protein', 'networks', 'in', 'this', 'paper', 'we', 'study', 'to', 'what', 'extent', 'wellknown', 'theorems', 'by', 'smale', 'and', 'hirsch', 'which', 'form', 'part', 'of', 'the', 'theory', 'of', 'continuous', 'monotone', 'dynamical', 'systems', 'generalize', 'or', 'fail', 'to', 'do', 'so', 'in', 'the', 'discrete', 'case', 'we', 'show', 'that', 'that', 'arbitrary', 'mdimensional', 'systems', 'can', 'not', 'necessarily', 'be', 'embedded', 'into', 'ndimensional', 'cooperative', 'systems', 'for', 'nm1', 'as', 'in', 'the', 'smale', 'theorem', 'for', 'the', 'continuous', 'case', 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711.0139 | Nonlocal SU(3) chiral quark models at finite temperature: the role of
the Polyakov loop | We analyze the role played by the Polyakov loop in the description of the
chiral phase transition within the framework of nonlocal SU(3) chiral models
with flavor mixing. We show that its presence provides a substantial
enhancement of the predicted critical temperature, bringing it to a better
agreement with the most recent results of lattice calculations.
| hep-ph | we analyze the role played by the polyakov loop in the description of the chiral phase transition within the framework of nonlocal su3 chiral models with flavor mixing we show that its presence provides a substantial enhancement of the predicted critical temperature bringing it to a better agreement with the most recent results of lattice calculations | [['we', 'analyze', 'the', 'role', 'played', 'by', 'the', 'polyakov', 'loop', 'in', 'the', 'description', 'of', 'the', 'chiral', 'phase', 'transition', 'within', 'the', 'framework', 'of', 'nonlocal', 'su3', 'chiral', 'models', 'with', 'flavor', 'mixing', 'we', 'show', 'that', 'its', 'presence', 'provides', 'a', 'substantial', 'enhancement', 'of', 'the', 'predicted', 'critical', 'temperature', 'bringing', 'it', 'to', 'a', 'better', 'agreement', 'with', 'the', 'most', 'recent', 'results', 'of', 'lattice', 'calculations']] | [-0.13539614568331412, 0.17707697639707476, -0.09021226986910083, 0.024963336605911275, -0.012022247770801187, -0.07416535176370027, 0.07215380946373832, 0.3602157068837966, -0.14704840447562414, -0.28433329618668984, 0.019911912242865322, -0.2833747088443488, -0.17902442363057552, 0.10698188313732057, 0.03753074868499035, 0.047254693354521544, 0.016244181132476245, 0.04466925551449614, -0.12326290909965922, -0.1985723075756271, 0.29428610049321186, 0.06556373938552237, 0.29111880262332435, 0.14659276938099147, 0.025194281171674708, -0.029318779025093784, -0.01797300444949152, 0.03490763362996014, -0.13428146261204738, 0.12368895279567889, 0.1853388605136388, -0.00979310819613082, 0.18353658142898763, -0.42543726039418417, -0.2621276687963733, 0.08874204745318691, 0.115901431418024, 0.16422214917838573, -0.08852774150935667, -0.28656182950362563, 0.07181715067209941, -0.17586646764539182, -0.16964181219061306, -0.1307982199858608, -0.047928195812606385, -0.09883349946176168, -0.2615651392427805, 0.09402511628078562, 0.05568583600688726, 0.060419270721857696, -0.021364011184362295, -0.13511176162865013, -0.0627059420304639, 0.13869143272417464, 0.0771658940772925, 0.09143228394012633, 0.10329400503542274, -0.20696693371116584, -0.13473738231030957, 0.44925117931727854, -0.1138811260129192, -0.09281215287878045, 0.13430088658684067, -0.1816043642299649, -0.14086762330095684, 0.09908283548429608, 0.1016303179868763, 0.04438137704606301, -0.09501539559901825, 0.06663807074073702, -0.06067328241520694, 0.1465945831940709, -0.005870685442849728, 0.04595201948008513, 0.23407041570836945, 0.23451324738562107, -0.00699041283223778, 0.11686912099581345, -0.04765975666565022, -0.2273649815137365, -0.33869834892850903, -0.08618639061959195, -0.10643498772489172, 0.015405164025391318, -0.1388521896109783, -0.15481010127613054, 0.4242730955593288, 0.19990662679109455, 0.23312416747545026, -0.02121006136959685, 0.24523565261292138, 0.13161614557195986, 0.09036882577389146, 0.04276981583929488, 0.28021146960756077, 0.2125822563497682, 0.09916355992234978, -0.3439682352556182, 0.012474541444264884, 0.09864932990499906] |
711.014 | Modeling He-rich subdwarfs through the Hot-Flasher scenario: First
Results | We present first results from evolutionary simulations aimed at exploring the
Hot-Flasher scenario for the formation of H-deficient subdwarf stars. The two
types of late hot flashers that lead to He-enriched surfaces, "deep" and
"shallow" mixing cases, are investigated for different metallicities.
| astro-ph | we present first results from evolutionary simulations aimed at exploring the hotflasher scenario for the formation of hdeficient subdwarf stars the two types of late hot flashers that lead to heenriched surfaces deep and shallow mixing cases are investigated for different metallicities | [['we', 'present', 'first', 'results', 'from', 'evolutionary', 'simulations', 'aimed', 'at', 'exploring', 'the', 'hotflasher', 'scenario', 'for', 'the', 'formation', 'of', 'hdeficient', 'subdwarf', 'stars', 'the', 'two', 'types', 'of', 'late', 'hot', 'flashers', 'that', 'lead', 'to', 'heenriched', 'surfaces', 'deep', 'and', 'shallow', 'mixing', 'cases', 'are', 'investigated', 'for', 'different', 'metallicities']] | [-0.047225181767273514, 0.15914490050636232, -0.08154422735484938, 0.1318131402755777, -0.05647081846282596, -0.10979609426465772, 0.05523166184069678, 0.3957110254892281, -0.14684676476532504, -0.32663151708298493, 0.051784634069051774, -0.2448743548094561, -0.08202636932643752, 0.19294525319266886, -0.02700734943417566, -0.02918657809052439, 0.1329577733607342, -0.13167865685231628, -0.04221458337824082, -0.2943620157561132, 0.37328576501957805, -0.0005084075140378749, 0.1402796368735532, -0.022958890956249974, 0.005205465513946754, -0.16441412657011478, -0.05483324467647998, -0.062313474562004215, -0.21493866685531907, 0.019202792274189136, 0.2769003546841088, 0.13749821344390512, 0.2058342746680691, -0.4324950575828552, -0.2706880642855096, 0.03354426488901178, 0.15957235512767165, 0.09728095825717208, -0.1717323731143205, -0.22164240213377134, 0.09672500521299385, -0.15661643061875588, -0.12182965483294711, 0.006208468672065507, -0.004943975846150092, 0.01218705837215696, -0.2510375187155746, 0.08560009952911753, 0.04141795054255497, 0.08103140281690728, -0.12355079862200433, -0.20460086801488483, -0.042585807952231595, 0.12565794206013725, 0.013199006675720392, -0.04501235241159087, 0.05954426111254309, -0.14386331618186973, -0.01921477654416646, 0.40703071813498226, -0.12354956930946737, 0.03441854855710907, 0.34414356237366084, -0.13186882019397758, -0.20555768111011102, 0.10447736494686632, 0.1883134655432687, 0.207194917824208, -0.19298786457095826, -0.06388018589738446, 0.023829835539107166, 0.06053450925364381, 0.0723202769045851, 0.009117489381294166, 0.3720431281475439, 0.2426539228430816, -0.05367155412178753, 0.07225983838794664, -0.17747391331830017, -0.12043446633920428, -0.2172241603866929, -0.10744193872614276, -0.04439482891133854, 0.004352752568333277, -0.08291867289967957, -0.10601065284572542, 0.360293894762262, 0.10982506544817061, 0.1799045126064725, 0.0470690476442022, 0.2736308393733842, 0.011066648834717594, 0.03923378640874511, 0.12354308249251474, 0.3031808227256295, 0.16272976584289045, 0.10482958240789317, -0.2632344387460589, 0.08400130032428674, 0.038229256258567886] |
711.0141 | The quenched critical point of a diluted disordered polymer model | We consider a model for a polymer interacting with an attractive wall through
a random sequence of charges. We focus on the so-called diluted limit, when the
charges are very rare but have strong intensity. In this regime, we determine
the quenched critical point of the model, showing that it is different from the
annealed one. The proof is based on a rigorous renormalization procedure.
Applications of our results to the problem of a copolymer near a selective
interface are discussed.
| math.PR | we consider a model for a polymer interacting with an attractive wall through a random sequence of charges we focus on the socalled diluted limit when the charges are very rare but have strong intensity in this regime we determine the quenched critical point of the model showing that it is different from the annealed one the proof is based on a rigorous renormalization procedure applications of our results to the problem of a copolymer near a selective interface are discussed | [['we', 'consider', 'a', 'model', 'for', 'a', 'polymer', 'interacting', 'with', 'an', 'attractive', 'wall', 'through', 'a', 'random', 'sequence', 'of', 'charges', 'we', 'focus', 'on', 'the', 'socalled', 'diluted', 'limit', 'when', 'the', 'charges', 'are', 'very', 'rare', 'but', 'have', 'strong', 'intensity', 'in', 'this', 'regime', 'we', 'determine', 'the', 'quenched', 'critical', 'point', 'of', 'the', 'model', 'showing', 'that', 'it', 'is', 'different', 'from', 'the', 'annealed', 'one', 'the', 'proof', 'is', 'based', 'on', 'a', 'rigorous', 'renormalization', 'procedure', 'applications', 'of', 'our', 'results', 'to', 'the', 'problem', 'of', 'a', 'copolymer', 'near', 'a', 'selective', 'interface', 'are', 'discussed']] | [-0.1175915007048321, 0.14507854182756777, -0.10600254650193232, 0.04725858876280441, 0.005180252646958387, -0.15213287035348239, 0.0826903573125256, 0.394975074187473, -0.22401374484193914, -0.21406564943170475, 0.11925894833014657, -0.2836007300971283, -0.15140574503069124, 0.18500524703528226, -0.009807523822894803, 0.010381708860132888, 0.033129728946081696, 0.038884538812217886, -0.0440046568904187, -0.19136917563500228, 0.30603016650787107, 0.020990438293665648, 0.29966684361850776, 0.08629058857367915, 0.07526056684070716, 0.03558279324989812, 0.027127176661182334, 0.0417325268269597, -0.13777835954623482, 0.08715113420700539, 0.1710384417279267, -0.010152745796482504, 0.28249615847052617, -0.41878012834507744, -0.20738325454294682, 0.07689534118514002, 0.12848805959255974, 0.169097212013892, -0.10711965118074951, -0.2660602783025415, 0.1098299727137028, -0.12549709772869347, -0.134058015898192, -0.020898279940916434, -0.016532443072876813, 0.04704029759231173, -0.28528479308487825, 0.05775114163802362, 0.06666061267785636, 0.05327121988168837, -0.02225656205224862, -0.08536032328589095, 0.007726746160008105, 0.12504162172460642, 0.0806135445729726, 0.009106035131593177, 0.14837213106062494, -0.14712159783165488, -0.05824012237738956, 0.3746687429094756, -0.06354158010799438, -0.19336735040961225, 0.23981324040882843, -0.11351767283530882, -0.17731046154060298, 0.12712079121006858, 0.14328879863598648, 0.17849012428066796, -0.16417644893621916, 0.09982989320278536, -0.07610942706189773, 0.15700580368291323, -0.004564005231921688, -0.004484086159478735, 0.24094912622491887, 0.22881510033686128, 0.058951993061827475, 0.2031957296407379, -0.07400319218221638, -0.13215370531435366, -0.2857721212009589, -0.1418148820621916, -0.2221350044839912, 0.04444914690023403, -0.11242065680454727, -0.2147159878808407, 0.36331667727503325, 0.17757791732610376, 0.21498651849680844, 0.0474850848334393, 0.24590441846737154, 0.1427247052003319, 0.03332664624408439, 0.026139934644976884, 0.25373897039228016, 0.10856890766938895, 0.08607212252868915, -0.18355023708872864, 0.0334993275112392, 0.08759311735227612] |
711.0142 | Collinear and soft gluon corrections to Higgs production at NNNLO | I present analytical expressions for the collinear and soft gluon corrections
to Higgs production via the process b bbar -> H as well as gg -> H through
next-to-next-to-next-to-leading order (NNNLO). The soft corrections are
complete while the collinear corrections include leading and some subleading
logarithms. Numerical results at the Tevatron and the LHC are presented,
primarily for b bbar -> H. It is shown that the collinear terms greatly improve
the soft and virtual approximation at next-to-leading order (NLO) and
next-to-next-to-leading order (NNLO), especially when subleading terms are
included. The NNNLO collinear and soft corrections provide significant
enhancements to the total cross section. I also provide expressions for the
collinear and soft corrections through NNNLO for the related Drell-Yan process.
| hep-ph | i present analytical expressions for the collinear and soft gluon corrections to higgs production via the process b bbar h as well as gg h through nexttonexttonexttoleading order nnnlo the soft corrections are complete while the collinear corrections include leading and some subleading logarithms numerical results at the tevatron and the lhc are presented primarily for b bbar h it is shown that the collinear terms greatly improve the soft and virtual approximation at nexttoleading order nlo and nexttonexttoleading order nnlo especially when subleading terms are included the nnnlo collinear and soft corrections provide significant enhancements to the total cross section i also provide expressions for the collinear and soft corrections through nnnlo for the related drellyan process | [['i', 'present', 'analytical', 'expressions', 'for', 'the', 'collinear', 'and', 'soft', 'gluon', 'corrections', 'to', 'higgs', 'production', 'via', 'the', 'process', 'b', 'bbar', 'h', 'as', 'well', 'as', 'gg', 'h', 'through', 'nexttonexttonexttoleading', 'order', 'nnnlo', 'the', 'soft', 'corrections', 'are', 'complete', 'while', 'the', 'collinear', 'corrections', 'include', 'leading', 'and', 'some', 'subleading', 'logarithms', 'numerical', 'results', 'at', 'the', 'tevatron', 'and', 'the', 'lhc', 'are', 'presented', 'primarily', 'for', 'b', 'bbar', 'h', 'it', 'is', 'shown', 'that', 'the', 'collinear', 'terms', 'greatly', 'improve', 'the', 'soft', 'and', 'virtual', 'approximation', 'at', 'nexttoleading', 'order', 'nlo', 'and', 'nexttonexttoleading', 'order', 'nnlo', 'especially', 'when', 'subleading', 'terms', 'are', 'included', 'the', 'nnnlo', 'collinear', 'and', 'soft', 'corrections', 'provide', 'significant', 'enhancements', 'to', 'the', 'total', 'cross', 'section', 'i', 'also', 'provide', 'expressions', 'for', 'the', 'collinear', 'and', 'soft', 'corrections', 'through', 'nnnlo', 'for', 'the', 'related', 'drellyan', 'process']] | [-0.04262150235186031, 0.16635370040233483, -0.0605429947470962, 0.16997527112702515, -0.044310224757498226, -0.06358753274179112, 0.0016586811107117683, 0.3398726569149264, -0.17709815840363125, -0.22617559408042895, 0.02009242416312129, -0.38832951943248006, -0.013056474887781729, 0.11081391520072091, 0.09200425282262771, 0.14567636142354617, 0.06042590918082554, -0.005978868121450956, -0.024444570561665727, -0.27731226090469074, 0.3016430767335913, 0.031143894565086497, 0.1584605736168638, 0.2392020811192628, 0.019291539171363337, 0.09300088377519494, -0.09048863875006831, -0.08260941924724602, -0.14585788792890342, 0.04510467875180608, 0.2738819871792349, -0.045495904267812935, 0.0975939790852431, -0.36786757756253485, -0.01725961028014199, 0.016354575102075428, 0.190314809669409, 0.0794374656575432, 0.01865801657155409, -0.24333675722670506, 0.1329781213435897, -0.3227822648842772, -0.10649500998803532, -0.21568467446713377, -0.016505086522202117, -0.057110603599339504, -0.3722650723026718, 0.0427951044203236, 0.014633933596226181, -0.033725919034253114, 0.07275614337956185, -0.2172623344665488, -0.09115909751291561, 0.06693863841015411, 0.13702007163448213, 0.10143882158543852, 0.13055228891829818, -0.25540229012021576, -0.24209228295327748, 0.40821006576830554, -0.04276466732193574, -0.11399405481001773, 0.10426900098968486, -0.2122480890682062, -0.15679048466440923, 0.2504481076483883, 0.20463858975365884, 0.12800493216195333, -0.18133297556149477, 0.2041056184655537, 0.13669402711093426, 0.10557559958335518, 0.09860895708661084, 0.08194976978958979, 0.10182670487280367, 0.06735094875626077, -0.06422656611934052, 0.11060102119986599, -0.08739433969939285, -0.09588122793268096, -0.5407953824753226, -0.0685536475867917, -0.018908324485676267, -0.003656601564863981, -0.14921571931841693, -0.1395081587575309, 0.27954940832519937, 0.11911206884246509, 0.2551880507469493, 0.04787466780803466, 0.38596591643862804, 0.19239210603971793, 0.08594517465937346, 0.08850285886506692, 0.3365180025449895, 0.1583482743086988, 0.10763318412660984, -0.24683415767010616, 0.04150804636557981, 0.1202599259361751] |
711.0143 | Effect of two-boson exchange on parity-violating e-p scattering | We compute the corrections from two-photon and photon-Z exchange in
parity-violating elastic electron-proton scattering, used to extract the
strange form factors of the proton. We use a hadronic formalism that
successfully reconciled the earlier discrepancy in the proton's electron to
magnetic form factor ratio, suitably extended to the weak sector. Implementing
realistic electroweak form factors, we find effects of the order 2-3% at Q^2 <
0.1 GeV^2, which are largest at backward angles, and have a strong Q^2
dependence at low Q^2. Two-boson contributions to the weak axial current are
found to be enhanced at low Q^2 and for forward angles. We provide corrections
at kinematics relevant for recent and upcoming parity-violating experiments.
| nucl-th hep-ph | we compute the corrections from twophoton and photonz exchange in parityviolating elastic electronproton scattering used to extract the strange form factors of the proton we use a hadronic formalism that successfully reconciled the earlier discrepancy in the protons electron to magnetic form factor ratio suitably extended to the weak sector implementing realistic electroweak form factors we find effects of the order 23 at q2 01 gev2 which are largest at backward angles and have a strong q2 dependence at low q2 twoboson contributions to the weak axial current are found to be enhanced at low q2 and for forward angles we provide corrections at kinematics relevant for recent and upcoming parityviolating experiments | [['we', 'compute', 'the', 'corrections', 'from', 'twophoton', 'and', 'photonz', 'exchange', 'in', 'parityviolating', 'elastic', 'electronproton', 'scattering', 'used', 'to', 'extract', 'the', 'strange', 'form', 'factors', 'of', 'the', 'proton', 'we', 'use', 'a', 'hadronic', 'formalism', 'that', 'successfully', 'reconciled', 'the', 'earlier', 'discrepancy', 'in', 'the', 'protons', 'electron', 'to', 'magnetic', 'form', 'factor', 'ratio', 'suitably', 'extended', 'to', 'the', 'weak', 'sector', 'implementing', 'realistic', 'electroweak', 'form', 'factors', 'we', 'find', 'effects', 'of', 'the', 'order', '23', 'at', 'q2', '01', 'gev2', 'which', 'are', 'largest', 'at', 'backward', 'angles', 'and', 'have', 'a', 'strong', 'q2', 'dependence', 'at', 'low', 'q2', 'twoboson', 'contributions', 'to', 'the', 'weak', 'axial', 'current', 'are', 'found', 'to', 'be', 'enhanced', 'at', 'low', 'q2', 'and', 'for', 'forward', 'angles', 'we', 'provide', 'corrections', 'at', 'kinematics', 'relevant', 'for', 'recent', 'and', 'upcoming', 'parityviolating', 'experiments']] | [-0.08405976357503928, 0.21718638521685665, -0.052681296481750906, 0.17668657698751694, -0.036577890980489816, -0.08954799833996471, 0.028044289560057223, 0.36186715107344625, -0.2286496868910035, -0.2774416226062125, -0.03734486569841725, -0.3199292118494798, -0.02139966917457059, 0.16014389004807786, 0.11190329003147781, 0.0647224516470877, 0.009744698740957704, -0.03539696382540569, -0.08686914574147002, -0.16570997346051236, 0.3306499791215174, 0.07407069129736296, 0.2342250928049907, 0.15644838465543995, 0.08780248552959945, 0.0259855828065026, -0.016960162195443575, 0.00025140843354165554, -0.1552364001184807, 0.0724770798031906, 0.2719274369550736, -0.019898656150741902, 0.1150082552173574, -0.40385924515846583, -0.10918539745866188, 0.05984598151241828, 0.12040272723035221, 0.1404668939077445, -0.011874048785622498, -0.23366479256323405, 0.07625639508894112, -0.21892441014227057, -0.16706821224215673, -0.1416178205025582, 0.007805869827279821, -0.043500508181750774, -0.3690276644753924, 0.10281925166990342, -0.06310793397590585, 0.014515427556554121, 0.010725200733369482, -0.19943818334390276, 0.012836444601167127, 0.09649996342237241, 0.11957365487303052, 0.10699870263592207, 0.14369067591698176, -0.17199289970241288, -0.08372153848592591, 0.36485283964014215, -0.063039794170306, -0.14828951200304022, 0.0933400717123212, -0.279620188712475, -0.1457928817627752, 0.19117041781386693, 0.24529062764980022, 0.04928239371890543, -0.13845706963495882, 0.0977344349651373, 0.004107717947460644, 0.16329913540643506, 0.11422671877205305, 0.04422768122666249, 0.18183086240398033, 0.1057688691736465, -0.052756421440530436, 0.03705252802943245, -0.12552799021900032, -0.030329595627595803, -0.3550916605662288, -0.043891542128384184, -0.041588088138918726, 0.08693530480793145, -0.09426777995966924, -0.03989401692524552, 0.2799388226246395, 0.12271041147375529, 0.24570412908880307, 0.005844490684726874, 0.33424577000966693, 0.1380903303465207, 0.12673558644019067, 0.06659207699703984, 0.3468044150254822, 0.1685941956737744, 0.15437231463978865, -0.2520443657974413, 0.05012034659843526, 0.04844345322843375] |
711.0144 | Comment on ``Quasienergy anholonomy and its application to adiabatic
quantum state manipulation'' | In their Letter [A. Tanaka and M. Miyamoto, Phys. Rev. Lett. 98, 160407
(2007)], Tanaka and Miyamoto introduce a kicked spin model, for which they
point out the generic existence of exotic eigenvalue anholonomy. They proceed
to show the potential utility of the model for quantum state manipulation and
quantum information processing. While we believe their model to be vary useful
and their argument to be revealing, In our view, there are three missing
elements in the article, without which their discussion seems to be incomplete
and the prospect of the application limited. They are on dynamical phase, gauge
potential, and on adiabaticity.
| quant-ph | in their letter a tanaka and m miyamoto phys rev lett 98 160407 2007 tanaka and miyamoto introduce a kicked spin model for which they point out the generic existence of exotic eigenvalue anholonomy they proceed to show the potential utility of the model for quantum state manipulation and quantum information processing while we believe their model to be vary useful and their argument to be revealing in our view there are three missing elements in the article without which their discussion seems to be incomplete and the prospect of the application limited they are on dynamical phase gauge potential and on adiabaticity | [['in', 'their', 'letter', 'a', 'tanaka', 'and', 'm', 'miyamoto', 'phys', 'rev', 'lett', '98', '160407', '2007', 'tanaka', 'and', 'miyamoto', 'introduce', 'a', 'kicked', 'spin', 'model', 'for', 'which', 'they', 'point', 'out', 'the', 'generic', 'existence', 'of', 'exotic', 'eigenvalue', 'anholonomy', 'they', 'proceed', 'to', 'show', 'the', 'potential', 'utility', 'of', 'the', 'model', 'for', 'quantum', 'state', 'manipulation', 'and', 'quantum', 'information', 'processing', 'while', 'we', 'believe', 'their', 'model', 'to', 'be', 'vary', 'useful', 'and', 'their', 'argument', 'to', 'be', 'revealing', 'in', 'our', 'view', 'there', 'are', 'three', 'missing', 'elements', 'in', 'the', 'article', 'without', 'which', 'their', 'discussion', 'seems', 'to', 'be', 'incomplete', 'and', 'the', 'prospect', 'of', 'the', 'application', 'limited', 'they', 'are', 'on', 'dynamical', 'phase', 'gauge', 'potential', 'and', 'on', 'adiabaticity']] | [-0.11230020953604536, 0.11525209696999597, -0.09058044924292243, 0.033081102184951305, -0.09726498255198732, -0.14755765445534935, 0.10509990145298607, 0.37595213499390384, -0.23824860330092387, -0.3267819509543117, 0.07362152227919404, -0.25970080777894233, -0.18423747570136362, 0.18754609104119313, -0.09526029020294692, 0.05053211309160422, 0.032092714650574526, 0.0071157164537139885, -0.0523999562945886, -0.28138782489972497, 0.24920354794611413, 0.061939395767482884, 0.23127794865229465, 0.06423364915586646, 0.04905137084695755, 0.01897272877666412, -0.03312640641228232, -0.030648487809936977, -0.13737235997704048, 0.08884314292797692, 0.21830126384580598, 0.0943896495013778, 0.2362486676050766, -0.40155737073097414, -0.2023136051819836, 0.12860344507216107, 0.08210602119673514, 0.14688816713847364, -0.03510050239828099, -0.3576910147551917, 0.0844858273958733, -0.20522279970040455, -0.13742213416279483, -0.1640071224023416, 0.05603029823961478, -0.024973217660710395, -0.23592114295738126, 0.09028871323985671, 0.11251764056454774, 0.054945171575595454, 0.0009077708632459195, -0.07009869058914844, -0.029275827749532836, 0.06721106856989051, -0.007751276986718684, 0.03822121823667684, 0.11567368168944439, -0.09492293858982044, -0.13890090652117595, 0.3664713296315913, 0.013690610252347893, -0.21114925067256957, 0.21706425165983587, -0.10839881650985951, -0.12849345512109475, 0.06129131439024384, 0.15366864023284843, 0.12185470968738053, -0.142643660727382, 0.1064569481153457, -0.021569354007545026, 0.09486337019796302, 0.08114483135128484, 0.06262396066424858, 0.25825822299337287, 0.07985622368784603, -0.007166604167845064, 0.06562590326557786, -0.044865337385823136, -0.1587811449985698, -0.2954065487403603, -0.18981338178883622, -0.18233120706818493, 0.11633938989258434, -0.010844836650400431, -0.11660577444522416, 0.4028275364521638, 0.20326748101528988, 0.2166349350167348, -0.0004746277694527096, 0.1958942206992397, 0.07956889320223692, -0.005622077760404175, 0.08480578331837377, 0.25157293374424133, 0.15888582740557713, 0.1059274696315485, -0.20121056766891218, -0.0011125833600831843, 0.02744154927763835] |
711.0145 | Symmetry preserving discretization of SL(2,R) invariant equations | Nonlinear ODEs invariant under the group SL(2,R) are solved numerically. We
show that solution methods incorporating the Lie point symmetries provide
better results than standard methods.
| math-ph math.MP | nonlinear odes invariant under the group sl2r are solved numerically we show that solution methods incorporating the lie point symmetries provide better results than standard methods | [['nonlinear', 'odes', 'invariant', 'under', 'the', 'group', 'sl2r', 'are', 'solved', 'numerically', 'we', 'show', 'that', 'solution', 'methods', 'incorporating', 'the', 'lie', 'point', 'symmetries', 'provide', 'better', 'results', 'than', 'standard', 'methods']] | [-0.11342456145212054, -0.023723539627658632, -0.12832238423064923, 0.13594793473692754, -0.1362881910843918, -0.19263078931432503, -0.05261076406504099, 0.4362023381086496, -0.26350948443779576, -0.2310725855999268, 0.14673926994706002, -0.2533769143315462, -0.22568973497702524, 0.24763933447404549, -0.03621426984094656, 0.0955177631157522, 0.10380812015276976, 0.022310164570136785, -0.22009525022720203, -0.3173318375618412, 0.31214505448364294, -0.04614157587862932, 0.30400022577780944, -0.07560732363624713, 0.1515835107375796, -0.07699363693021812, 0.0049852884302918725, 0.023238766795167558, -0.14700728039791172, 0.06208263287464014, 0.27670194624135125, 0.03591913128128418, 0.18671958306087896, -0.45254122379880685, -0.2122196891846565, 0.08361583550532277, 0.1524931180756539, 0.1112120570973135, -0.07364780287473248, -0.3700062229226415, 0.11501479474827647, -0.10383797189793907, -0.18178008471687251, -0.2089505959302187, -0.11388745846656653, -0.0573171594654783, -0.2531715309104094, 0.13299063646879333, 0.07161298480171424, 0.10574530978472187, -0.10644632927142084, -0.13573796606550997, -0.027948278575562514, 0.0493314082089525, 0.06203400961553248, -0.05794396871127761, 0.14685922275440624, -0.06837052626248735, -0.1788265502008681, 0.45213225140021396, -0.08062395800292367, -0.35563691268460107, 0.14261893551939955, -0.09854401307753645, -0.1792149200426558, 0.15341292242877758, 0.1221496977019482, 0.1824149624981846, -0.14561114388589674, 0.1564089939929545, -0.0753240693324747, 0.11697441540645041, 0.015201697752882656, -0.05008285548179769, 0.07645316336017388, 0.14962004035568008, 0.12906857916655448, 0.05350584089935113, 0.07045222671989065, -0.14967242986536944, -0.2908462774581634, -0.09748114855028689, -0.06744730889868851, 0.03850073668246086, -0.1515545126122351, -0.04412883330279818, 0.37936357423090017, 0.19944559865129682, 0.09005066086179934, 0.1261901781321145, 0.21801005404155988, 0.22530602792707774, 0.08117570606275247, 0.13792700392122453, 0.2139747501574815, 0.10317797671394566, -0.02443478132884663, -0.21984375411501297, -0.07156709746385996, 0.2184884328251848] |
711.0146 | LQG vertex with finite Immirzi parameter | We extend the definition of the "flipped" loop-quantum-gravity vertex to the
case of a finite Immirzi parameter. We cover the Euclidean as well as the
Lorentzian case. We show that the resulting dynamics is defined on a Hilbert
space isomorphic to the one of loop quantum gravity, and that the area operator
has the same discrete spectrum as in loop quantum gravity. This includes the
correct dependence on the Immirzi parameter, and, remarkably, holds in the
Lorentzian case as well. The ad hoc flip of the symplectic structure that was
initially required to derive the flipped vertex is not anymore needed for
finite Immirzi parameter. These results establish a bridge between canonical
loop quantum gravity and the spinfoam formalism in four dimensions.
| gr-qc | we extend the definition of the flipped loopquantumgravity vertex to the case of a finite immirzi parameter we cover the euclidean as well as the lorentzian case we show that the resulting dynamics is defined on a hilbert space isomorphic to the one of loop quantum gravity and that the area operator has the same discrete spectrum as in loop quantum gravity this includes the correct dependence on the immirzi parameter and remarkably holds in the lorentzian case as well the ad hoc flip of the symplectic structure that was initially required to derive the flipped vertex is not anymore needed for finite immirzi parameter these results establish a bridge between canonical loop quantum gravity and the spinfoam formalism in four dimensions | [['we', 'extend', 'the', 'definition', 'of', 'the', 'flipped', 'loopquantumgravity', 'vertex', 'to', 'the', 'case', 'of', 'a', 'finite', 'immirzi', 'parameter', 'we', 'cover', 'the', 'euclidean', 'as', 'well', 'as', 'the', 'lorentzian', 'case', 'we', 'show', 'that', 'the', 'resulting', 'dynamics', 'is', 'defined', 'on', 'a', 'hilbert', 'space', 'isomorphic', 'to', 'the', 'one', 'of', 'loop', 'quantum', 'gravity', 'and', 'that', 'the', 'area', 'operator', 'has', 'the', 'same', 'discrete', 'spectrum', 'as', 'in', 'loop', 'quantum', 'gravity', 'this', 'includes', 'the', 'correct', 'dependence', 'on', 'the', 'immirzi', 'parameter', 'and', 'remarkably', 'holds', 'in', 'the', 'lorentzian', 'case', 'as', 'well', 'the', 'ad', 'hoc', 'flip', 'of', 'the', 'symplectic', 'structure', 'that', 'was', 'initially', 'required', 'to', 'derive', 'the', 'flipped', 'vertex', 'is', 'not', 'anymore', 'needed', 'for', 'finite', 'immirzi', 'parameter', 'these', 'results', 'establish', 'a', 'bridge', 'between', 'canonical', 'loop', 'quantum', 'gravity', 'and', 'the', 'spinfoam', 'formalism', 'in', 'four', 'dimensions']] | [-0.14100860092850004, 0.1625725910044657, -0.08285661855498787, 0.1146488710507926, -0.10695891955592593, -0.16166144896863546, 0.025287226363482167, 0.31803845021812643, -0.20809143351688675, -0.26978707803627017, 0.06807439184946115, -0.22891276833204338, -0.16567083536723598, 0.15072002373521262, -0.10882343051832963, 0.035353706603808724, 0.00759238020333721, 0.10472640445929204, -0.09576086397091935, -0.23844191334859208, 0.3658155176910709, 0.04399437284513117, 0.23061893510128387, 0.05653298442389389, 0.11755270810156572, 0.03134580870296379, -0.002325926124896915, 0.0374285582885753, -0.14198351923091723, 0.036895567352299534, 0.23312822441173503, 0.06844086700012206, 0.20270134818827978, -0.38405994444963387, -0.2402566261742203, 0.09621501819337488, 0.14324248933279124, 0.10591236743159958, 0.030564620913403322, -0.2408082680566786, 0.013191892713815028, -0.18421086534613468, -0.13748248348863734, -0.04193192434146023, 0.009201636461571593, -0.09599176784366613, -0.2185999299728762, 0.039880163521032595, 0.05914606133926294, 0.006557262899567847, -0.020539312463131596, -0.07044379807031545, -0.051375327456253964, 0.16003114214457084, 0.02333898250334209, 0.061249305257482116, 0.1110677454719839, -0.09648789613332111, -0.13786943655338932, 0.3949128033986437, -0.08081023353791307, -0.2612122641189299, 0.10217840840551452, -0.1884287496242428, -0.14237334985347067, 0.028580793662408947, 0.06448173051180899, 0.1331445647586809, -0.08002913545685454, 0.21398310257421546, -0.03258652953797432, 0.102522735316001, 0.05424504475210045, 0.03817904536940585, 0.15356788541510946, 0.09255455743872606, 0.09032525620652271, 0.15486843093989233, -0.06508590130337713, -0.1916477267676201, -0.41627939249633156, -0.16509014015832318, -0.17346043865669702, 0.0803680614966443, -0.1323881617526106, -0.2140444301099318, 0.3981619757852044, 0.11839929188136011, 0.20279652267297515, 0.06183605475091666, 0.25889826041539427, 0.11814086124316224, 0.10082616424188018, 0.061015226511803806, 0.23759272712908808, 0.15539061600250786, 0.055465939036784234, -0.2423290918794934, -0.02076648036018014, 0.12119160159529171] |
711.0147 | Large-$N_c$ relations for the electromagnetic N to Delta(1232)
transition | We examine the large-$N_c$ relations which express the electromagnetic
$N$-to-$\Delta$ transition quantities in terms of the electromagnetic
properties of the nucleon. These relations are based on the known large-$N_c$
relation between the $N\to \Delta$ electric quadrupole moment and the neutron
charge radius, and a newly derived large-$N_c$ relation between the electric
quadrupole ($E2$) and Coulomb quadrupole ($C2$) transitions. Extending these
relations to finite, but small, momentum transfer we find that the description
of the electromagnetic $N\to\Delta$ ratios ($R_{EM}$ and $R_{SM}$) in terms of
the nucleon form factors predicts a structure which may be ascribed to the
effect of the ``pion cloud''. These relations also provide useful constraints
for the $N \to \Delta$ generalized parton distributions.
| hep-ph | we examine the largen_c relations which express the electromagnetic ntodelta transition quantities in terms of the electromagnetic properties of the nucleon these relations are based on the known largen_c relation between the nto delta electric quadrupole moment and the neutron charge radius and a newly derived largen_c relation between the electric quadrupole e2 and coulomb quadrupole c2 transitions extending these relations to finite but small momentum transfer we find that the description of the electromagnetic ntodelta ratios r_em and r_sm in terms of the nucleon form factors predicts a structure which may be ascribed to the effect of the pion cloud these relations also provide useful constraints for the n to delta generalized parton distributions | [['we', 'examine', 'the', 'largen_c', 'relations', 'which', 'express', 'the', 'electromagnetic', 'ntodelta', 'transition', 'quantities', 'in', 'terms', 'of', 'the', 'electromagnetic', 'properties', 'of', 'the', 'nucleon', 'these', 'relations', 'are', 'based', 'on', 'the', 'known', 'largen_c', 'relation', 'between', 'the', 'nto', 'delta', 'electric', 'quadrupole', 'moment', 'and', 'the', 'neutron', 'charge', 'radius', 'and', 'a', 'newly', 'derived', 'largen_c', 'relation', 'between', 'the', 'electric', 'quadrupole', 'e2', 'and', 'coulomb', 'quadrupole', 'c2', 'transitions', 'extending', 'these', 'relations', 'to', 'finite', 'but', 'small', 'momentum', 'transfer', 'we', 'find', 'that', 'the', 'description', 'of', 'the', 'electromagnetic', 'ntodelta', 'ratios', 'r_em', 'and', 'r_sm', 'in', 'terms', 'of', 'the', 'nucleon', 'form', 'factors', 'predicts', 'a', 'structure', 'which', 'may', 'be', 'ascribed', 'to', 'the', 'effect', 'of', 'the', 'pion', 'cloud', 'these', 'relations', 'also', 'provide', 'useful', 'constraints', 'for', 'the', 'n', 'to', 'delta', 'generalized', 'parton', 'distributions']] | [-0.144631960939454, 0.1923555170752756, -0.059872142784297464, 0.15519247926447702, -0.06295303011151111, -0.02072054365568835, 0.058374312243161156, 0.3128123422679694, -0.20064039773348233, -0.29263263642787934, -0.06816826224043641, -0.3056735697080908, -0.09190263384143295, 0.11459783833149982, 0.08267347959234662, 0.022143760092718446, -0.034124181265740294, 0.058798835890458735, -0.13473351657512073, -0.11065520923281008, 0.34609809963275556, 0.0034960135766912413, 0.2643912651454625, 0.13646213915603964, 0.0437824673221811, -0.0030700002189563667, 0.002449687882124082, -0.0030865261574154314, -0.15570966718223644, 0.10684579642408568, 0.2214735689734959, 0.06466726860659117, 0.09684063669334611, -0.41491594035988266, -0.12154352059182913, 0.07989241644314936, 0.13919639663932765, 0.07004593191870853, 0.01361223815879582, -0.276109110272449, 0.04192125203654818, -0.22378202761806873, -0.1458731577853146, -0.15018502341826326, 0.04620753301955435, 0.11080505388343463, -0.301501973251225, 0.10701314304403596, 0.058081572631920646, 0.0132994063846443, -0.07977098055872256, -0.20884281512673783, -0.016699981491040926, 0.12693296360742787, 0.0987176213130031, 0.05971141733715068, 0.12987932826837767, -0.1571901475686742, -0.051316747685853877, 0.41033732690241026, -0.025366677870245085, -0.1911031875597394, 0.068298363669411, -0.23405022827665442, -0.1359329087416763, 0.08933119988068938, 0.13774754152349802, 0.08570713169224885, -0.17879200607447115, 0.08004128898331976, -0.009131635692092063, 0.15038178785015707, 0.10356849247346754, 0.09734783065707787, 0.24758303504761148, 0.0720910947162496, -0.049323228746652605, 0.08745799582026413, -0.0861701534676325, -0.07910225812507712, -0.34961815200665075, -0.07878253473697797, -0.12466100349860347, 0.07675408395412175, -0.14485146744472846, -0.14126100817128368, 0.3078595763489948, 0.08675702075251257, 0.2139969283492183, 0.01497172989639575, 0.27268981418126953, 0.18253300235323283, 0.0917338128282648, 0.06177917992615181, 0.30585881486413596, 0.24845221463752828, 0.1017789687394448, -0.32691508442487405, 0.006086669056473867, 0.10908963260767253] |
711.0148 | Isospin breaking in $K\pi$ vector form-factors for the weak and rare
decays $K_{\ell3}$, $K\to\pi\nu\bar\nu$ and $K\to\pi\ell^+\ell^-$ | We calculate the two form-factors for the four Kaon to pion transitions via a
vector current to order $p^6$ in Chiral Perturbation Theory to first order in
isospin breaking via the quark masses. In addition we derive relations between
these form-factors valid to first order in the up-down quark-mass difference
but to all orders in Chiral Perturbation Theory.
We present numerical results for all eight form-factors at $t=0$ and for
varying $t$ and for the scalar form-factors at the Callan-Treiman point.
| hep-ph | we calculate the two formfactors for the four kaon to pion transitions via a vector current to order p6 in chiral perturbation theory to first order in isospin breaking via the quark masses in addition we derive relations between these formfactors valid to first order in the updown quarkmass difference but to all orders in chiral perturbation theory we present numerical results for all eight formfactors at t0 and for varying t and for the scalar formfactors at the callantreiman point | [['we', 'calculate', 'the', 'two', 'formfactors', 'for', 'the', 'four', 'kaon', 'to', 'pion', 'transitions', 'via', 'a', 'vector', 'current', 'to', 'order', 'p6', 'in', 'chiral', 'perturbation', 'theory', 'to', 'first', 'order', 'in', 'isospin', 'breaking', 'via', 'the', 'quark', 'masses', 'in', 'addition', 'we', 'derive', 'relations', 'between', 'these', 'formfactors', 'valid', 'to', 'first', 'order', 'in', 'the', 'updown', 'quarkmass', 'difference', 'but', 'to', 'all', 'orders', 'in', 'chiral', 'perturbation', 'theory', 'we', 'present', 'numerical', 'results', 'for', 'all', 'eight', 'formfactors', 'at', 't0', 'and', 'for', 'varying', 't', 'and', 'for', 'the', 'scalar', 'formfactors', 'at', 'the', 'callantreiman', 'point']] | [-0.12404365045087482, 0.22689586651890917, -0.04336522157407469, 0.09463814926552183, -0.03947202408295355, -0.05771304754954246, 0.08276217050827396, 0.3528042771956987, -0.1712292923482802, -0.2272944473374037, 0.0068208008449823585, -0.3403636317608165, -0.07583304672260527, 0.07484143738703872, 0.13816856644633743, 0.10993366676992104, -0.0860573514537127, 0.07352580910226629, -0.15321462730198732, -0.20870782946592864, 0.35415470012590106, -0.0900646359084841, 0.1963459279411185, 0.15270490336726295, 0.015575977237780153, 0.005021142359409068, 0.003551916069822547, -0.06159246646235755, -0.16600065627192825, 0.04752368013156049, 0.2525451620544859, -0.018195197808291808, 0.0928661818443625, -0.4008061984183129, -0.11577768231466136, 0.09241757026218154, 0.12050364693672752, 0.17113480578395135, -0.0061051597427806735, -0.27660679466516513, 0.14633845341000937, -0.18768974441896985, -0.16627007614775205, -0.19404091053630834, 0.018118930802347114, -0.04114137806090308, -0.36528364352789927, 0.09467308879197564, -0.04662834512598721, 0.0426654757782357, -0.047215582983982235, -0.19983189755383832, 0.01305210840727352, 0.13210330895481653, 0.12122180069693261, 0.04705044809717363, 0.06668862016917562, -0.15861049614110848, -0.12412273721844187, 0.4307932145778596, -0.10546667675953358, -0.18780333713202932, 0.09890487470468622, -0.2144571737397784, -0.1816343936931204, 0.0891409068811041, 0.1694449394147981, 0.08277309580740554, -0.17859337288012475, 0.05573849466681066, 0.04234929778325705, 0.14922699299935585, 0.13893809849626304, 0.008398231636318896, 0.19462530771385372, 0.08693713309059356, 0.012903681243367401, 0.08511399279095601, -0.05060646582946733, -0.15887746041249715, -0.432816552941078, -0.09868140550859181, -0.09064483301380626, 0.016067161081059846, -0.1075965540112071, -0.09461923396605769, 0.3894628799164001, 0.1912630360952958, 0.2194080811775761, 0.055734222674351415, 0.2902687960649254, 0.13822413305464534, 0.07627046101347164, 0.05979992886200363, 0.263696026654891, 0.20291472118301893, 0.12375633306456385, -0.26507805448807314, -0.09396121034651626, 0.15393309676904737] |
711.0149 | Leibniz rules for enveloping algebras in symmetric ordering | Given a finite-dimensional Lie algebra, and a representation by derivations
on the completed symmetric algebra of its dual, a number of interesting twisted
constructions appear: certain twisted Weyl algebras, deformed Leibniz rules,
quantized ``star'' product. We first illuminate a number of interrelations
between these constructions and then proceed to study a special case in certain
precise sense corresponding to the symmetric or Weyl ordering. This case has
been known earlier to be related to computations with Hausdorff series, for
example the expression for the star product is in such terms. For the deformed
Leibniz rule, hence a coproduct, we present here a new nonsymmetric expression,
which is then expanded into a sum of expressions labelled by a class of planar
trees, and for a given tree evaluated by Feynman-like rules. These expressions
are filtered by a bidegree and we show recursion formulas for the sums of
expressions of a given bidegree, and compare the recursions to recursions for
Hausdorff series, including the comparison of initial conditions. This way we
show a direct corespondence between the Hausdorff series and the expression for
twisted coproduct.
| math.QA math.RA math.RT | given a finitedimensional lie algebra and a representation by derivations on the completed symmetric algebra of its dual a number of interesting twisted constructions appear certain twisted weyl algebras deformed leibniz rules quantized star product we first illuminate a number of interrelations between these constructions and then proceed to study a special case in certain precise sense corresponding to the symmetric or weyl ordering this case has been known earlier to be related to computations with hausdorff series for example the expression for the star product is in such terms for the deformed leibniz rule hence a coproduct we present here a new nonsymmetric expression which is then expanded into a sum of expressions labelled by a class of planar trees and for a given tree evaluated by feynmanlike rules these expressions are filtered by a bidegree and we show recursion formulas for the sums of expressions of a given bidegree and compare the recursions to recursions for hausdorff series including the comparison of initial conditions this way we show a direct corespondence between the hausdorff series and the expression for twisted coproduct | [['given', 'a', 'finitedimensional', 'lie', 'algebra', 'and', 'a', 'representation', 'by', 'derivations', 'on', 'the', 'completed', 'symmetric', 'algebra', 'of', 'its', 'dual', 'a', 'number', 'of', 'interesting', 'twisted', 'constructions', 'appear', 'certain', 'twisted', 'weyl', 'algebras', 'deformed', 'leibniz', 'rules', 'quantized', 'star', 'product', 'we', 'first', 'illuminate', 'a', 'number', 'of', 'interrelations', 'between', 'these', 'constructions', 'and', 'then', 'proceed', 'to', 'study', 'a', 'special', 'case', 'in', 'certain', 'precise', 'sense', 'corresponding', 'to', 'the', 'symmetric', 'or', 'weyl', 'ordering', 'this', 'case', 'has', 'been', 'known', 'earlier', 'to', 'be', 'related', 'to', 'computations', 'with', 'hausdorff', 'series', 'for', 'example', 'the', 'expression', 'for', 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711.015 | Space-based research in fundamental physics and quantum technologies | Space-based experiments today can uniquely address important questions
related to the fundamental laws of Nature. In particular, high-accuracy physics
experiments in space can test relativistic gravity and probe the physics beyond
the Standard Model; they can perform direct detection of gravitational waves
and are naturally suited for precision investigations in cosmology and
astroparticle physics. In addition, atomic physics has recently shown
substantial progress in the development of optical clocks and atom
interferometers. If placed in space, these instruments could turn into powerful
high-resolution quantum sensors greatly benefiting fundamental physics.
We discuss the current status of space-based research in fundamental physics,
its discovery potential, and its importance for modern science. We offer a set
of recommendations to be considered by the upcoming National Academy of
Sciences' Decadal Survey in Astronomy and Astrophysics. In our opinion, the
Decadal Survey should include space-based research in fundamental physics as
one of its focus areas. We recommend establishing an Astronomy and Astrophysics
Advisory Committee's interagency ``Fundamental Physics Task Force'' to assess
the status of both ground- and space-based efforts in the field, to identify
the most important objectives, and to suggest the best ways to organize the
work of several federal agencies involved. We also recommend establishing a new
NASA-led interagency program in fundamental physics that will consolidate new
technologies, prepare key instruments for future space missions, and build a
strong scientific and engineering community. Our goal is to expand NASA's
science objectives in space by including ``laboratory research in fundamental
physics'' as an element in agency's ongoing space research efforts.
| gr-qc astro-ph hep-ph physics.space-ph | spacebased experiments today can uniquely address important questions related to the fundamental laws of nature in particular highaccuracy physics experiments in space can test relativistic gravity and probe the physics beyond the standard model they can perform direct detection of gravitational waves and are naturally suited for precision investigations in cosmology and astroparticle physics in addition atomic physics has recently shown substantial progress in the development of optical clocks and atom interferometers if placed in space these instruments could turn into powerful highresolution quantum sensors greatly benefiting fundamental physics we discuss the current status of spacebased research in fundamental physics its discovery potential and its importance for modern science we offer a set of recommendations to be considered by the upcoming national academy of sciences decadal survey in astronomy and astrophysics in our opinion the decadal survey should include spacebased research in fundamental physics as one of its focus areas we recommend establishing an astronomy and astrophysics advisory committees interagency fundamental physics task force to assess the status of both ground and spacebased efforts in the field to identify the most important objectives and to suggest the best ways to organize the work of several federal agencies involved we also recommend establishing a new nasaled interagency program in fundamental physics that will consolidate new technologies prepare key instruments for future space missions and build a strong scientific and engineering community our goal is to expand nasas science objectives in space by including laboratory research in fundamental physics as an element in agencys ongoing space research efforts | [['spacebased', 'experiments', 'today', 'can', 'uniquely', 'address', 'important', 'questions', 'related', 'to', 'the', 'fundamental', 'laws', 'of', 'nature', 'in', 'particular', 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711.0151 | Selection rules and quark correlations in the $N^*$ resonance spectrum | A "$\Lambda$ selection rule" for $N^*$ resonances in the presence of QCD
mixing effects is identified. Due to the QCD mixing, excitations of {\bf
20}-plets are possible in SU(6). We show that this selection rule is useful for
classifying PDG states at N=2, and for clarifying whether strongly correlated
diquarks survive for $L > 0$.
| hep-ph | a lambda selection rule for n resonances in the presence of qcd mixing effects is identified due to the qcd mixing excitations of bf 20plets are possible in su6 we show that this selection rule is useful for classifying pdg states at n2 and for clarifying whether strongly correlated diquarks survive for l 0 | [['a', 'lambda', 'selection', 'rule', 'for', 'n', 'resonances', 'in', 'the', 'presence', 'of', 'qcd', 'mixing', 'effects', 'is', 'identified', 'due', 'to', 'the', 'qcd', 'mixing', 'excitations', 'of', 'bf', '20plets', 'are', 'possible', 'in', 'su6', 'we', 'show', 'that', 'this', 'selection', 'rule', 'is', 'useful', 'for', 'classifying', 'pdg', 'states', 'at', 'n2', 'and', 'for', 'clarifying', 'whether', 'strongly', 'correlated', 'diquarks', 'survive', 'for', 'l', '0']] | [-0.14031779263520017, 0.2782938192809387, -0.03398447442812986, 0.1286335460037731, -0.0492393702338889, -0.1785366809926927, 0.12021304053289569, 0.368682658194371, -0.2028108204732526, -0.21169196870529428, 0.01839892855704815, -0.2732058660179939, -0.05867077624312721, 0.0423349178624603, 0.06111823375565263, -0.003762663148765294, 0.018802340010637946, 0.02453422673345315, -0.013906508382137443, -0.23464020492755017, 0.2968429530496305, 0.005524349275906131, 0.21349767936428762, 0.09276965959876213, -0.009953018813833312, 0.012628653912611728, -0.020078280650711846, -0.05682527816871989, -0.10414384089847961, 0.007076994950865519, 0.27715042098161746, 0.06139280109332418, 0.16834650249308292, -0.2824483123028053, -0.18546010397005616, 0.1061093768561786, 0.19890145204504425, 0.11647762867780227, 0.025290209343129734, -0.27422202909189575, 0.10933484903202867, -0.11829903663931203, -0.16897317997338074, -0.1437833547451586, 0.10061068967301047, -0.07921853278464866, -0.36958751946968854, 0.10744758184015188, 0.04286311398027465, 0.0366150508195443, 0.002430332170026201, -0.22132548934094748, -0.04270975225833508, 0.06646811061556328, 0.047369425088378055, 0.03595570037317163, 0.06781963636343069, -0.20099041027122372, -0.14893083805042617, 0.4668604969486313, -0.027219344422502338, -0.1991737529565141, 0.141719473701603, -0.13066732785049476, -0.21060088283013342, 0.1268197272043183, 0.14304199001756232, 0.12569678951722552, -0.08119996971854905, 0.10422673755883292, -0.06927406493758888, 0.14687267279709285, 0.07693339335152281, 0.0884151810270576, 0.24043551038177507, 0.1708897985144571, 0.014600671581783384, 0.06031038028732786, -0.03433277638945377, -0.09241800726378196, -0.39276708486788675, -0.09650452573836413, -0.13801554502603017, 0.08548000841489378, -0.030655354937650526, -0.10961809373056551, 0.31874834823439707, 0.1459579304352684, 0.21723860635791184, 0.008336441011501933, 0.18465034822704937, 0.08928134977676959, 0.04498613595892236, 0.04346998986559657, 0.26238848472822385, 0.17731984197777115, 0.012657790304214324, -0.31862741400364714, 0.0032034824901032, 0.04430025625306199] |
711.0152 | Disentangling neutrino-nucleon cross section and high energy neutrino
flux with a km^3 neutrino telescope | The energy--zenith angular event distribution in a neutrino telescope
provides a unique tool to determine at the same time the neutrino-nucleon cross
section at extreme kinematical regions, and the high energy neutrino flux. By
using a simple parametrization for fluxes and cross sections, we present a
sensitivity analysis for the case of a km^3 neutrino telescope. In particular,
we consider the specific case of an under-water Mediterranean telescope placed
at the NEMO site, although most of our results also apply to an under-ice
detector such as IceCube. We determine the sensitivity to departures from
standard values of the cross sections above 1 PeV which can be probed
independently from an a-priori knowledge of the normalization and energy
dependence of the flux. We also stress that the capability to tag downgoing
neutrino showers in the PeV range against the cosmic ray induced background of
penetrating muons appears to be a crucial requirement to derive meaningful
constraints on the cross section.
| astro-ph hep-ph | the energyzenith angular event distribution in a neutrino telescope provides a unique tool to determine at the same time the neutrinonucleon cross section at extreme kinematical regions and the high energy neutrino flux by using a simple parametrization for fluxes and cross sections we present a sensitivity analysis for the case of a km3 neutrino telescope in particular we consider the specific case of an underwater mediterranean telescope placed at the nemo site although most of our results also apply to an underice detector such as icecube we determine the sensitivity to departures from standard values of the cross sections above 1 pev which can be probed independently from an apriori knowledge of the normalization and energy dependence of the flux we also stress that the capability to tag downgoing neutrino showers in the pev range against the cosmic ray induced background of penetrating muons appears to be a crucial requirement to derive meaningful constraints on the cross section | [['the', 'energyzenith', 'angular', 'event', 'distribution', 'in', 'a', 'neutrino', 'telescope', 'provides', 'a', 'unique', 'tool', 'to', 'determine', 'at', 'the', 'same', 'time', 'the', 'neutrinonucleon', 'cross', 'section', 'at', 'extreme', 'kinematical', 'regions', 'and', 'the', 'high', 'energy', 'neutrino', 'flux', 'by', 'using', 'a', 'simple', 'parametrization', 'for', 'fluxes', 'and', 'cross', 'sections', 'we', 'present', 'a', 'sensitivity', 'analysis', 'for', 'the', 'case', 'of', 'a', 'km3', 'neutrino', 'telescope', 'in', 'particular', 'we', 'consider', 'the', 'specific', 'case', 'of', 'an', 'underwater', 'mediterranean', 'telescope', 'placed', 'at', 'the', 'nemo', 'site', 'although', 'most', 'of', 'our', 'results', 'also', 'apply', 'to', 'an', 'underice', 'detector', 'such', 'as', 'icecube', 'we', 'determine', 'the', 'sensitivity', 'to', 'departures', 'from', 'standard', 'values', 'of', 'the', 'cross', 'sections', 'above', '1', 'pev', 'which', 'can', 'be', 'probed', 'independently', 'from', 'an', 'apriori', 'knowledge', 'of', 'the', 'normalization', 'and', 'energy', 'dependence', 'of', 'the', 'flux', 'we', 'also', 'stress', 'that', 'the', 'capability', 'to', 'tag', 'downgoing', 'neutrino', 'showers', 'in', 'the', 'pev', 'range', 'against', 'the', 'cosmic', 'ray', 'induced', 'background', 'of', 'penetrating', 'muons', 'appears', 'to', 'be', 'a', 'crucial', 'requirement', 'to', 'derive', 'meaningful', 'constraints', 'on', 'the', 'cross', 'section']] | [-0.0455051513323914, 0.15438846394644765, -0.04242426700170942, 0.15125240953757038, -0.050170603417496705, -0.03160551700245919, 0.022439580925746196, 0.35546277911414076, -0.20777516542636212, -0.36132671663101434, 0.028715112641869302, -0.3185806036926806, -0.02384314615621314, 0.2311687078769024, 0.024799481886026414, 0.02745120209073309, 0.09231607182116448, 0.03384457650606202, -0.053011414515373265, -0.19701502281329536, 0.29804832802767145, 0.21013319892425655, 0.26883638148561495, 0.13099679320496566, 0.15120736055689143, -0.010566212071836749, -0.057855157114571266, -0.03274821018935712, -0.13213118837868737, 0.05577175156950149, 0.26018251401160053, 0.12462711950050832, 0.0940341472896877, -0.3998274146343428, -0.1680279392852224, 0.15931259815749135, 0.1145587721559561, 0.04844740086033958, -0.03640775370508833, -0.3087965145926699, 0.08505755928315552, -0.18073947474219, -0.16654672071299387, 0.016609188057522768, -0.03582370465715663, -0.006473313852012912, -0.27428462266475495, 0.022626074646596644, -0.035291433440450624, 0.012220783318286832, -0.057672597022131795, -0.12769401959391147, 4.140310257649686e-05, 0.11921697609786745, 0.09721057212401676, 0.003918639263373953, 0.14876401218397048, -0.15630953384215554, -0.06960619094227499, 0.3687578075082053, -0.07496261941062735, -0.15469255802940718, 0.12518534485451122, -0.19058350514387712, -0.15495225916251162, 0.1963171167225471, 0.22233331490520247, 0.08369943010399732, -0.20302548515020952, 0.0776421724059, -0.008870486533298758, 0.1758406007812724, 0.08053467986011831, -0.011512438463094302, 0.23356500160998275, 0.21924300849602757, 0.13608000596655132, 0.03672626576846159, -0.2424404648695542, 0.016265883192985872, -0.3830290218768052, -0.12732002501010517, -0.11745212296955287, 0.0858847667894892, -0.06023651015507485, -0.11250294826606501, 0.3950558640946976, 0.13749955521899798, 0.23117769227504636, 0.02122415251561287, 0.3204878936256459, 0.07191696882990625, 0.062472556652854894, 0.03851827822884993, 0.311343567245463, 0.11444204319946326, 0.13356455365679215, -0.18324537662187992, 0.03831852637702906, 0.035927274109666014] |
711.0153 | Matter-wave vortices in cigar-shaped and toroidal waveguides | We study vortical states in a Bose-Einstein condensate (BEC) filling a
cigar-shaped trap. An effective one-dimensional (1D) nonpolynomial Schroedinger
equation (NPSE) is derived in this setting, for the models with both repulsive
and attractive inter-atomic interactions. Analytical formulas for the density
profiles are obtained from the NPSE in the case of self-repulsion within the
Thomas-Fermi approximation, and in the case of the self-attraction as exact
solutions (bright solitons). A crucially important ingredient of the analysis
is the comparison of these predictions with direct numerical solutions for the
vortex states in the underlying 3D Gross-Pitaevskii equation (GPE). The
comparison demonstrates that the NPSE provides for a very accurate
approximation, in all the cases, including the prediction of the stability of
the bright solitons and collapse threshold for them. In addition to the
straight cigar-shaped trap, we also consider a torus-shaped configuration. In
that case, we find a threshold for the transition from the axially uniform
state, with the transverse intrinsic vorticity, to a symmetry-breaking pattern,
due to the instability in the self-attractive BEC filling the circular trap.
| cond-mat.other | we study vortical states in a boseeinstein condensate bec filling a cigarshaped trap an effective onedimensional 1d nonpolynomial schroedinger equation npse is derived in this setting for the models with both repulsive and attractive interatomic interactions analytical formulas for the density profiles are obtained from the npse in the case of selfrepulsion within the thomasfermi approximation and in the case of the selfattraction as exact solutions bright solitons a crucially important ingredient of the analysis is the comparison of these predictions with direct numerical solutions for the vortex states in the underlying 3d grosspitaevskii equation gpe the comparison demonstrates that the npse provides for a very accurate approximation in all the cases including the prediction of the stability of the bright solitons and collapse threshold for them in addition to the straight cigarshaped trap we also consider a torusshaped configuration in that case we find a threshold for the transition from the axially uniform state with the transverse intrinsic vorticity to a symmetrybreaking pattern due to the instability in the selfattractive bec filling the circular trap | [['we', 'study', 'vortical', 'states', 'in', 'a', 'boseeinstein', 'condensate', 'bec', 'filling', 'a', 'cigarshaped', 'trap', 'an', 'effective', 'onedimensional', '1d', 'nonpolynomial', 'schroedinger', 'equation', 'npse', 'is', 'derived', 'in', 'this', 'setting', 'for', 'the', 'models', 'with', 'both', 'repulsive', 'and', 'attractive', 'interatomic', 'interactions', 'analytical', 'formulas', 'for', 'the', 'density', 'profiles', 'are', 'obtained', 'from', 'the', 'npse', 'in', 'the', 'case', 'of', 'selfrepulsion', 'within', 'the', 'thomasfermi', 'approximation', 'and', 'in', 'the', 'case', 'of', 'the', 'selfattraction', 'as', 'exact', 'solutions', 'bright', 'solitons', 'a', 'crucially', 'important', 'ingredient', 'of', 'the', 'analysis', 'is', 'the', 'comparison', 'of', 'these', 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711.0154 | 2+1 Flavor Polyakov--Nambu--Jona-Lasinio Model at Finite Temperature and
Nonzero Chemical Potential | We extend the Polyakov-loop improved Nambu--Jona-Lasinio (PNJL) model to 2+1
flavor case to study the chiral and deconfinement transitions of strongly
interacting matter at finite temperature and nonzero chemical potential. The
Polyakov-loop, the chiral susceptibility of light quarks (u and d) and the
strange quark number susceptibility as functions of temperature at zero
chemical potential are determined and compared with the recent results of
Lattice QCD simulations. We find that there is always an inflection point in
the curve of strange quark number susceptibility accompanying the appearance of
the deconfinement phase, which is consistent with the result of Lattice QCD
simulations. Predictions for the case at nonzero chemical potential and finite
temperature are made as well. We give the phase diagram in terms of the
chemical potential and temperature and find that the critical endpoint (CEP)
moves down to low temperature and finally disappears with the decrease of the
strength of the 't Hooft flavor-mixing interaction.
| hep-ph | we extend the polyakovloop improved nambujonalasinio pnjl model to 21 flavor case to study the chiral and deconfinement transitions of strongly interacting matter at finite temperature and nonzero chemical potential the polyakovloop the chiral susceptibility of light quarks u and d and the strange quark number susceptibility as functions of temperature at zero chemical potential are determined and compared with the recent results of lattice qcd simulations we find that there is always an inflection point in the curve of strange quark number susceptibility accompanying the appearance of the deconfinement phase which is consistent with the result of lattice qcd simulations predictions for the case at nonzero chemical potential and finite temperature are made as well we give the phase diagram in terms of the chemical potential and temperature and find that the critical endpoint cep moves down to low temperature and finally disappears with the decrease of the strength of the t hooft flavormixing interaction | [['we', 'extend', 'the', 'polyakovloop', 'improved', 'nambujonalasinio', 'pnjl', 'model', 'to', '21', 'flavor', 'case', 'to', 'study', 'the', 'chiral', 'and', 'deconfinement', 'transitions', 'of', 'strongly', 'interacting', 'matter', 'at', 'finite', 'temperature', 'and', 'nonzero', 'chemical', 'potential', 'the', 'polyakovloop', 'the', 'chiral', 'susceptibility', 'of', 'light', 'quarks', 'u', 'and', 'd', 'and', 'the', 'strange', 'quark', 'number', 'susceptibility', 'as', 'functions', 'of', 'temperature', 'at', 'zero', 'chemical', 'potential', 'are', 'determined', 'and', 'compared', 'with', 'the', 'recent', 'results', 'of', 'lattice', 'qcd', 'simulations', 'we', 'find', 'that', 'there', 'is', 'always', 'an', 'inflection', 'point', 'in', 'the', 'curve', 'of', 'strange', 'quark', 'number', 'susceptibility', 'accompanying', 'the', 'appearance', 'of', 'the', 'deconfinement', 'phase', 'which', 'is', 'consistent', 'with', 'the', 'result', 'of', 'lattice', 'qcd', 'simulations', 'predictions', 'for', 'the', 'case', 'at', 'nonzero', 'chemical', 'potential', 'and', 'finite', 'temperature', 'are', 'made', 'as', 'well', 'we', 'give', 'the', 'phase', 'diagram', 'in', 'terms', 'of', 'the', 'chemical', 'potential', 'and', 'temperature', 'and', 'find', 'that', 'the', 'critical', 'endpoint', 'cep', 'moves', 'down', 'to', 'low', 'temperature', 'and', 'finally', 'disappears', 'with', 'the', 'decrease', 'of', 'the', 'strength', 'of', 'the', 't', 'hooft', 'flavormixing', 'interaction']] | [-0.11692776117333545, 0.2603078750925749, -0.08256159639731135, 0.013535557650566962, -0.025966754202575732, -0.12591659971393454, 0.13019584589757216, 0.3477383428730835, -0.18518222054132286, -0.24715351414842865, 0.02835252731351946, -0.33463765649745864, -0.06493838889619861, 0.07544534181644662, 0.07234744637315042, 0.05774773323598007, -0.03826985589395731, 0.08024820753743346, -0.12227907784892103, -0.2430382069462958, 0.3194946348667145, -0.011917922129400838, 0.22332889991454208, 0.21425451880070165, 0.011074382178962994, -0.03298902276079529, 0.01490972052143218, 0.01880154816302447, -0.1268936614600161, -0.059806480150048934, 0.17053220050598986, -0.021247963526174994, 0.1022987487182642, -0.34294315956485194, -0.26306609558956456, 0.15230884751042303, 0.1132264553109566, 0.12789304601401688, -0.05826759321289734, -0.2506476351065943, 0.07988705988137577, -0.178300652324628, -0.23832674184217092, -0.13214998613171375, 0.009861410595476627, 0.002306618248649801, -0.2992559072101871, 0.10809604046591677, -0.018474289966830745, 0.10253187058081564, -0.03553263191730739, -0.20988563279985475, -0.10277352752372956, 0.0804962269970789, 0.07851089085735834, 0.15177169125915194, 0.1501335153977076, -0.19453169292627046, -0.0703938696682692, 0.41215768853465146, -0.10411567589863598, -0.0792980560626557, 0.1944327687826724, -0.20368866387229317, -0.09908956749579655, 0.10193196249504884, 0.11851357582968493, 0.06936512506292321, -0.12562112386624974, 0.10673449596502813, 0.02323649138307724, 0.14489973362073308, 0.06247486364848625, 0.013637317532601837, 0.2641437259586289, 0.1752238504182643, -0.002238679522027572, 0.13857190826913723, -0.05194537880537936, -0.14843512434834757, -0.3555144978066285, -0.07462046824049395, -0.1573174259452245, -0.005629789475232172, -0.1714783826183777, -0.17895045189428715, 0.39636840222952646, 0.17973899086698508, 0.22851392918099195, 0.015722085810594786, 0.26208448843457377, 0.1301299908443933, 0.03582685691519426, 0.06338523417257537, 0.22973368633299684, 0.21389895494287023, 0.18642257350699928, -0.3510808704820822, -0.04272447644586627, 0.10436542261129197] |
711.0155 | Pohlmeyer reduction of AdS_5 x S^5 superstring sigma model | Motivated by a desire to find a useful 2d Lorentz-invariant reformulation of
the AdS_5 x S^5 superstring world-sheet theory in terms of physical degrees of
freedom we construct the Pohlmeyer-reduced version of the corresponding sigma
model. The Pohlmeyer reduction procedure involves several steps. Starting with
a coset space string sigma model in the conformal gauge and writing the
classical equations in terms of currents one can fix the residual conformal
diffeomorphism symmetry and kappa-symmetry and introduce a new set of variables
(related locally to currents but non-locally to the original string coordinate
fields) so that the Virasoro constraints are automatically satisfied. The
resulting gauge-fixed equations can be obtained from a Lagrangian of a
non-abelian Toda type: a gauged WZW model with an integrable potential coupled
also to a set of 2d fermionic fields. A gauge-fixed form of the
Pohlmeyer-reduced theory can be found by integrating out the 2d gauge field of
the gauged WZW model. Its small-fluctuation spectrum contains 8 bosonic and 8
fermionic degrees of freedom with equal masses. We conjecture that the reduced
model has world-sheet supersymmetry and is ultraviolet-finite. We show that in
the special case of the AdS_2 x S^2 superstring model the reduced theory is
indeed supersymmetric: it is equivalent to the N=2 supersymmetric extension of
the sine-Gordon model.
| hep-th | motivated by a desire to find a useful 2d lorentzinvariant reformulation of the ads_5 x s5 superstring worldsheet theory in terms of physical degrees of freedom we construct the pohlmeyerreduced version of the corresponding sigma model the pohlmeyer reduction procedure involves several steps starting with a coset space string sigma model in the conformal gauge and writing the classical equations in terms of currents one can fix the residual conformal diffeomorphism symmetry and kappasymmetry and introduce a new set of variables related locally to currents but nonlocally to the original string coordinate fields so that the virasoro constraints are automatically satisfied the resulting gaugefixed equations can be obtained from a lagrangian of a nonabelian toda type a gauged wzw model with an integrable potential coupled also to a set of 2d fermionic fields a gaugefixed form of the pohlmeyerreduced theory can be found by integrating out the 2d gauge field of the gauged wzw model its smallfluctuation spectrum contains 8 bosonic and 8 fermionic degrees of freedom with equal masses we conjecture that the reduced model has worldsheet supersymmetry and is ultravioletfinite we show that in the special case of the ads_2 x s2 superstring model the reduced theory is indeed supersymmetric it is equivalent to the n2 supersymmetric extension of the sinegordon model | [['motivated', 'by', 'a', 'desire', 'to', 'find', 'a', 'useful', '2d', 'lorentzinvariant', 'reformulation', 'of', 'the', 'ads_5', 'x', 's5', 'superstring', 'worldsheet', 'theory', 'in', 'terms', 'of', 'physical', 'degrees', 'of', 'freedom', 'we', 'construct', 'the', 'pohlmeyerreduced', 'version', 'of', 'the', 'corresponding', 'sigma', 'model', 'the', 'pohlmeyer', 'reduction', 'procedure', 'involves', 'several', 'steps', 'starting', 'with', 'a', 'coset', 'space', 'string', 'sigma', 'model', 'in', 'the', 'conformal', 'gauge', 'and', 'writing', 'the', 'classical', 'equations', 'in', 'terms', 'of', 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711.0156 | Restoring the density-gradient expansion for exchange in solids and
surfaces | Successful modern generalized gradient approximations (GGA's) are biased
toward atomic energies. Restoration of the first-principles gradient expansion
for exchange over a wide range of density gradients eliminates this bias. We
introduce PBEsol, a revised Perdew-Burke-Ernzerhof GGA that improves
equilibrium properties of densely-packed solids and their surfaces.
| cond-mat.mtrl-sci | successful modern generalized gradient approximations ggas are biased toward atomic energies restoration of the firstprinciples gradient expansion for exchange over a wide range of density gradients eliminates this bias we introduce pbesol a revised perdewburkeernzerhof gga that improves equilibrium properties of denselypacked solids and their surfaces | [['successful', 'modern', 'generalized', 'gradient', 'approximations', 'ggas', 'are', 'biased', 'toward', 'atomic', 'energies', 'restoration', 'of', 'the', 'firstprinciples', 'gradient', 'expansion', 'for', 'exchange', 'over', 'a', 'wide', 'range', 'of', 'density', 'gradients', 'eliminates', 'this', 'bias', 'we', 'introduce', 'pbesol', 'a', 'revised', 'perdewburkeernzerhof', 'gga', 'that', 'improves', 'equilibrium', 'properties', 'of', 'denselypacked', 'solids', 'and', 'their', 'surfaces']] | [-0.10471106001742832, 0.08702126893204758, -0.12619049284283235, 0.08715190046527625, -0.023342022834264713, -0.08242507353829949, 0.083392851560822, 0.44028060251603957, -0.28096442132601107, -0.2890137514180463, -0.04335008217426746, -0.25590763178289583, -0.0826680233206033, 0.12306370294612387, -0.008175825457210127, 0.038124182767680155, 0.025350270144965336, -0.13544893880253253, -0.21240027414371623, -0.23319455756016239, 0.19469216421408497, 0.08944799219328992, 0.29624578167441423, 0.10018993723813606, 0.06670755226577571, 0.022903756228397073, 0.07766353846122713, 0.0942319042008856, -0.1594113692213875, 0.1936171163359414, 0.2552709828900254, -0.04015920513673969, 0.34566978628382733, -0.4417333253051924, -0.3174792708545599, 0.03813612825647199, 0.08819357239965188, 0.1876376169156688, -0.09237855477461024, -0.17322633443805185, 0.05761785501533229, -0.22926851653534433, -0.14089396187488962, -0.20420463690939156, -0.047236814690024956, 0.14693590140213136, -0.23361357582895004, 0.2271668218511521, -0.01273129637474599, 0.08740143486015174, -0.09731806756969055, -0.29673315702087205, -0.025087883959159903, -0.0011675571010488532, -0.04606866611815665, 0.07216657443306125, 0.24646303366424274, -0.10776863961338835, -0.019934950416664713, 0.38392036788813444, -0.11585201424263093, -0.12344210165674271, 0.1605347733053824, -0.036363174005047134, -0.17103259693628745, 0.12244123575763534, 0.12984608187664137, 0.1513334866208227, -0.1629476188884481, 0.11498773118870778, 0.0447398939102878, 0.13097556899099247, 0.0843332115985939, 0.005445021832280833, 0.1520053713845656, 0.09317801204388557, 0.12736911067496176, 0.029974398587870855, -0.08808782968528407, -0.18027551866480676, -0.22587606582142736, -0.11891939499132011, -0.16994440033222022, 0.00429123316122138, -0.12792772969766267, -0.2754050243402953, 0.3666754056416128, 0.15329823898070533, 0.1310302167725952, 0.06602666261808379, 0.2842165363709564, 0.10320013484148227, 0.07208423809978463, 0.06337581961618169, 0.2586139675695449, 0.19385639784614678, 0.08623243333599732, -0.20815851973653163, 0.08993211014034308, 0.06897815236437094] |
711.0157 | The Divine Clockwork: Bohr's correspondence principle and Nelson's
stochastic mechanics for the atomic elliptic state | We consider the Bohr correspondence limit of the Schrodinger wave function
for an atomic elliptic state. We analyse this limit in the context of Nelson's
stochastic mechanics, exposing an underlying deterministic dynamical system in
which trajectories converge to Keplerian motion on an ellipse. This solves the
long standing problem of obtaining Kepler's laws of planetary motion in a
quantum mechanical setting. In this quantum mechanical setting, local mild
instabilities occur in the Kelperian orbit for eccentricities greater than
1/\sqrt{2} which do not occur classically.
| quant-ph | we consider the bohr correspondence limit of the schrodinger wave function for an atomic elliptic state we analyse this limit in the context of nelsons stochastic mechanics exposing an underlying deterministic dynamical system in which trajectories converge to keplerian motion on an ellipse this solves the long standing problem of obtaining keplers laws of planetary motion in a quantum mechanical setting in this quantum mechanical setting local mild instabilities occur in the kelperian orbit for eccentricities greater than 1sqrt2 which do not occur classically | [['we', 'consider', 'the', 'bohr', 'correspondence', 'limit', 'of', 'the', 'schrodinger', 'wave', 'function', 'for', 'an', 'atomic', 'elliptic', 'state', 'we', 'analyse', 'this', 'limit', 'in', 'the', 'context', 'of', 'nelsons', 'stochastic', 'mechanics', 'exposing', 'an', 'underlying', 'deterministic', 'dynamical', 'system', 'in', 'which', 'trajectories', 'converge', 'to', 'keplerian', 'motion', 'on', 'an', 'ellipse', 'this', 'solves', 'the', 'long', 'standing', 'problem', 'of', 'obtaining', 'keplers', 'laws', 'of', 'planetary', 'motion', 'in', 'a', 'quantum', 'mechanical', 'setting', 'in', 'this', 'quantum', 'mechanical', 'setting', 'local', 'mild', 'instabilities', 'occur', 'in', 'the', 'kelperian', 'orbit', 'for', 'eccentricities', 'greater', 'than', '1sqrt2', 'which', 'do', 'not', 'occur', 'classically']] | [-0.1762309444798942, 0.11998283366461604, -0.09984614009226789, 0.08994368194596819, -0.04091618462544249, -0.1235127139244655, 0.006968103876584266, 0.29686308357056723, -0.3145480876148914, -0.23237041823835258, 0.06987941306482731, -0.22553009174186286, -0.11065912011348789, 0.21007226648704003, -0.12910825002893625, 0.11064718091434025, 0.08055970280330224, 0.020795019335079802, -0.04858992412035544, -0.1978670063804476, 0.28758761630090607, 0.006858233853344278, 0.17593747945165777, -0.04568931958582028, 0.11963909466649933, 0.04446379466442369, 0.0990248933176409, -0.019870763232213366, -0.17032819640463645, 0.0842572108923783, 0.21407256898167262, 0.07312032974785171, 0.2862576938301594, -0.45857400809560556, -0.2195201569786632, 0.12042135233620563, 0.1546422341366506, 0.1562385665286467, 0.014922095553848488, -0.28064751517341796, 0.023967026634680397, -0.16011831656951142, -0.22063459766080537, -0.030117711195363158, 0.053999360617115556, -0.013024592811398837, -0.2086268822404455, 0.14065468062068817, 0.15831156081277373, 0.08751717008964484, -0.1129355969479734, -0.021456926526692528, 0.05520569219770112, 0.09423757680545909, 0.03553149089671626, -0.0005571111470056945, 0.1331314036555319, -0.12448218485890293, -0.1262484563469707, 0.4343202810801835, -0.03334332707408866, -0.23968827410556195, 0.17004344606749625, -0.17636416653866868, -0.13101415751299944, 0.12235946333911045, 0.16839748909360314, 0.1311789855630283, -0.15338430994650326, 0.09478110518216727, -0.057785866557478804, 0.17780284375984626, 0.13369861998067922, 0.04214642558201968, 0.2373759288520339, 0.1240471190806613, 0.11476583893590393, 0.09186242909047258, -0.038675725687272754, -0.20936721076358514, -0.2980994057367522, -0.14136281002492432, -0.1548983340252595, 0.12592439183261223, -0.08000865093914859, -0.2180771684745349, 0.3341704449807125, 0.16322573163288545, 0.17769165146332908, 0.03312490945850241, 0.2362259804798537, 0.1976833291217146, -0.03256884274707268, 0.0832342650595469, 0.318512618042394, 0.12491612175917141, 0.11065031707859094, -0.25495245886674844, 0.01721213989700359, 0.08818407442016774] |
711.0158 | Localized cohomology and some applications of Popa's cocycle
super-rigidity theorem | We prove that orbit equivalence of measure preserving ergodic a.e. free
actions of a countable group with the relative property (T) is a complete
analytic equivalence relation.
| math.LO math.OA | we prove that orbit equivalence of measure preserving ergodic ae free actions of a countable group with the relative property t is a complete analytic equivalence relation | [['we', 'prove', 'that', 'orbit', 'equivalence', 'of', 'measure', 'preserving', 'ergodic', 'ae', 'free', 'actions', 'of', 'a', 'countable', 'group', 'with', 'the', 'relative', 'property', 't', 'is', 'a', 'complete', 'analytic', 'equivalence', 'relation']] | [-0.2297586658279653, 0.15268315309313713, -0.16212977691450053, 0.10933305259742257, -0.09531931482531407, -0.1305293836803348, 0.11164309574222123, 0.4173613488674164, -0.3333317990656252, -0.13019980883432758, 0.07623852166795621, -0.2959184991540732, -0.05110082896081386, 0.12440823965611074, -0.14610459565840386, 0.033076584408128704, 0.10235413460543862, 0.17508558039036062, -0.1697239239303464, -0.15493117383232824, 0.37118607980233653, -0.06926309910637361, 0.26329451537242643, 0.012436564528831729, 0.22273776045552007, 0.020489321004047437, -0.042023404259924534, 0.05101292122465869, -0.18550661158951698, 0.11811769591575419, 0.2393737936185466, 0.1431728545145166, 0.22733813224153387, -0.22739195330413403, -0.1541333937396606, 0.18578313442843933, 0.031229996605327836, -0.07912333057848392, -0.03432403660931245, -0.3068083355686179, 0.17040284619563156, -0.22071835881582014, -0.1592786186202257, -0.08004388865083456, 0.1350882642523006, 0.027060123367442027, -0.25304964288241333, 0.006792532590528329, 0.24145676170748495, 0.19040245842188597, -0.11075196663538615, 0.09504600776428426, -0.07055337106188138, 0.17131876969641005, 0.049335117305249525, 0.058512150672160916, 0.10915159532386395, 0.03671015088480932, -0.11047773358532814, 0.40452509476906723, -0.16821267966319015, -0.21299887696901956, 0.21143364390634276, -0.23548409035774293, -0.2000846442318073, 0.1104698530225842, 0.026417659181687567, 0.163131612042586, -0.09539710426772083, 0.253551389746092, -0.1435138273432299, 0.12694256628553072, 0.04954146148843898, 0.05868126826222848, 0.11056261630383907, 0.058664417929119535, 0.2089440793281904, 0.1392987380149188, 0.09748346484438689, -0.059187803589911374, -0.3470756057994785, -0.21724324890722832, -0.06930163516490548, 0.16545101341412025, -0.1098613213678753, -0.1796217211694629, 0.2910977837250189, 0.08578130744259667, 0.12874038117351355, 0.22364500651343, 0.20069038516117466, 0.11723813243831198, -0.024907196453703498, 0.06988181416980094, 0.1348202999819208, 0.2622128950121502, -0.157465986010653, -0.20448306083886159, 0.005303986612017508, 0.2599049259874004] |
711.0159 | Empirical Fit to Inelastic Electron-Deuteron and Electron-Neutron
Resonance Region Transverse Cross Sections | An empirical fit is described to measurements of inclusive inelastic
electron-deuteron cross sections in the kinematic r ange of four-momentum
transfer $0 \le Q^2<10$ GeV$^2$ and final state invariant mass $1.1<W<3.2$ GeV.
The deuteron fit relies on a fit of the ratio $R_p$ of longitudinal to
transverse cross sections for the proton, and the assumption $R_p=R_n$. The
underlying fit parameters describe the average cross section for proton and
neutron, with a plane-wave impulse approximation used to fit to the deuteron
data. An additional term is used to fill in the dip between the quasi-elastic
peak and the $\Delta(1232)$ resonance. The mean deviation of data from the fit
is 3%, with less than 4% of the data points deviating from the fit by more than
10%.
| hep-ph | an empirical fit is described to measurements of inclusive inelastic electrondeuteron cross sections in the kinematic r ange of fourmomentum transfer 0 le q210 gev2 and final state invariant mass 11w32 gev the deuteron fit relies on a fit of the ratio r_p of longitudinal to transverse cross sections for the proton and the assumption r_pr_n the underlying fit parameters describe the average cross section for proton and neutron with a planewave impulse approximation used to fit to the deuteron data an additional term is used to fill in the dip between the quasielastic peak and the delta1232 resonance the mean deviation of data from the fit is 3 with less than 4 of the data points deviating from the fit by more than 10 | [['an', 'empirical', 'fit', 'is', 'described', 'to', 'measurements', 'of', 'inclusive', 'inelastic', 'electrondeuteron', 'cross', 'sections', 'in', 'the', 'kinematic', 'r', 'ange', 'of', 'fourmomentum', 'transfer', '0', 'le', 'q210', 'gev2', 'and', 'final', 'state', 'invariant', 'mass', '11w32', 'gev', 'the', 'deuteron', 'fit', 'relies', 'on', 'a', 'fit', 'of', 'the', 'ratio', 'r_p', 'of', 'longitudinal', 'to', 'transverse', 'cross', 'sections', 'for', 'the', 'proton', 'and', 'the', 'assumption', 'r_pr_n', 'the', 'underlying', 'fit', 'parameters', 'describe', 'the', 'average', 'cross', 'section', 'for', 'proton', 'and', 'neutron', 'with', 'a', 'planewave', 'impulse', 'approximation', 'used', 'to', 'fit', 'to', 'the', 'deuteron', 'data', 'an', 'additional', 'term', 'is', 'used', 'to', 'fill', 'in', 'the', 'dip', 'between', 'the', 'quasielastic', 'peak', 'and', 'the', 'delta1232', 'resonance', 'the', 'mean', 'deviation', 'of', 'data', 'from', 'the', 'fit', 'is', '3', 'with', 'less', 'than', '4', 'of', 'the', 'data', 'points', 'deviating', 'from', 'the', 'fit', 'by', 'more', 'than', '10']] | [-0.006921055314994258, 0.1114664884240128, -0.10001041058912813, 0.15912378887831408, -0.026393802007433118, -0.08362521033836301, 0.026997975285763177, 0.33168677748673087, -0.19653434894706417, -0.32895794557786084, -0.035344809901378144, -0.37137508745176523, 0.05617974103784295, 0.17963950116967223, 0.057045959753961095, 0.07465666240247769, 0.06858354277257633, 0.047712236286966296, -0.09857959621320896, -0.1571200443630493, 0.32044285277616447, 0.10462402932467015, 0.2302298570587489, 0.09912104515370163, 0.08484127643097919, 0.1009001279953958, -0.03945046830619496, -0.08380197871446125, -0.16776513387221934, 0.08746173745778398, 0.24354508870311567, 0.06038312887551918, 0.0837169927734185, -0.35607922369447664, -0.10517179657141035, 0.09639715898509432, 0.14361348413536704, 0.04526799888448502, 0.051384251754389265, -0.22890553072973238, 0.05437037292858434, -0.19894409948217917, -0.14159919680815522, -0.06859198069517933, 0.02254198125480273, 0.002078516965323105, -0.34960140892100044, 0.1207997388077703, -0.0018586601694758104, 0.08228808036452628, -0.09659999732601994, -0.23862017539700842, -0.04204786970181679, 0.03581177489074871, 0.1081791744866537, 0.11426583044155221, 0.15897785679899096, -0.13903703236558695, -0.07470606400714658, 0.35836380151501757, -0.06494974536273242, -0.15515077086847004, 0.048219646209835765, -0.21500303999452694, -0.04381194333470146, 0.21721233075439203, 0.20147384307915117, 0.06410438914753012, -0.18725325707800505, 0.06188808981054964, -0.023075354951850282, 0.23388359694158642, 0.10832566776638472, -0.03895626423551088, 0.12546903867940834, 0.18661193295222958, -0.0014713512950319404, 0.005489113948845524, -0.2046881763707483, -0.07203269236516661, -0.35667271731133626, -0.0608820058859703, -0.11987235487298661, 0.09591096202365873, -0.07883305804438631, -0.09100600616340108, 0.34962654447682745, 0.07137964199654658, 0.32113226289611035, 0.05173149713262067, 0.3486921446004171, 0.1137843844357772, 0.10428303079982477, 0.07784026076002576, 0.3038838325916388, 0.19684192524064423, 0.1209330284566717, -0.19990815012526464, 0.0651226232691509, -0.03449174801523729] |
711.016 | Color Variability of the Blazar AO 0235+16 | Multicolor (UBVRIJHK) observations of the blazar AO 0235+16 are analyzed. The
light curves were compiled at the Turin Observatory from literature data and
the results of observations obtained in the framework of the WEBT program
(http://www.to.astro/blazars/webt/). The color variability of the blazar was
studied in eight time intervals with a sufficient number of multicolor optical
observations; JHK data are available for only one of these. The spectral energy
distribution (SED) of the variable component remained constant within each
interval, but varied strongly from one interval to another. After correction
for dust absorption, the SED can be represented by a power law in all cases,
providing evidence for a synchrotron nature of the variable component. We show
that the variability at both optical and IR wavelengths is associated with the
same variable source.
| astro-ph | multicolor ubvrijhk observations of the blazar ao 023516 are analyzed the light curves were compiled at the turin observatory from literature data and the results of observations obtained in the framework of the webt program httpwwwtoastroblazarswebt the color variability of the blazar was studied in eight time intervals with a sufficient number of multicolor optical observations jhk data are available for only one of these the spectral energy distribution sed of the variable component remained constant within each interval but varied strongly from one interval to another after correction for dust absorption the sed can be represented by a power law in all cases providing evidence for a synchrotron nature of the variable component we show that the variability at both optical and ir wavelengths is associated with the same variable source | [['multicolor', 'ubvrijhk', 'observations', 'of', 'the', 'blazar', 'ao', '023516', 'are', 'analyzed', 'the', 'light', 'curves', 'were', 'compiled', 'at', 'the', 'turin', 'observatory', 'from', 'literature', 'data', 'and', 'the', 'results', 'of', 'observations', 'obtained', 'in', 'the', 'framework', 'of', 'the', 'webt', 'program', 'httpwwwtoastroblazarswebt', 'the', 'color', 'variability', 'of', 'the', 'blazar', 'was', 'studied', 'in', 'eight', 'time', 'intervals', 'with', 'a', 'sufficient', 'number', 'of', 'multicolor', 'optical', 'observations', 'jhk', 'data', 'are', 'available', 'for', 'only', 'one', 'of', 'these', 'the', 'spectral', 'energy', 'distribution', 'sed', 'of', 'the', 'variable', 'component', 'remained', 'constant', 'within', 'each', 'interval', 'but', 'varied', 'strongly', 'from', 'one', 'interval', 'to', 'another', 'after', 'correction', 'for', 'dust', 'absorption', 'the', 'sed', 'can', 'be', 'represented', 'by', 'a', 'power', 'law', 'in', 'all', 'cases', 'providing', 'evidence', 'for', 'a', 'synchrotron', 'nature', 'of', 'the', 'variable', 'component', 'we', 'show', 'that', 'the', 'variability', 'at', 'both', 'optical', 'and', 'ir', 'wavelengths', 'is', 'associated', 'with', 'the', 'same', 'variable', 'source']] | [-0.061013770083753534, 0.09336033897617689, -0.11135190587419157, 0.07701489623510636, -0.0693581100159253, -0.12868547102508063, 0.04850967705178146, 0.47625724982756834, -0.21997465377745146, -0.35239276708318634, 0.15587504592527135, -0.29731331600879246, 7.872302085161209e-05, 0.23500668324816684, -0.0369478656247688, 0.030431828232338795, 0.07524121066627021, -0.062454054175088036, 0.024662501524345806, -0.2390692391898483, 0.2676516050472856, 0.056048591220035006, 0.19968330981926277, -0.027476622936172555, 0.08742609308369888, 0.0012460637031696164, -0.11732141967827024, -0.004931887877613078, -0.07524266862159353, 0.10071263949816617, 0.2331344127547569, 0.1261900407047226, 0.21083619531172398, -0.32243645461813475, -0.26697295192055975, 0.058026508711135155, 0.10200418387629236, 0.03301726175861684, 0.008008415571664675, -0.22303831348768793, 0.01861915110538785, -0.11950466094108728, -0.16417809239087197, 0.04282564181261338, 0.03644529203526103, 0.053929660727198306, -0.23926448674532227, 0.06238147374958946, -0.003631067572860047, 0.11873736098551979, -0.14635170987054993, -0.10600317931519104, -0.06986187402015695, 0.12017943052789913, 0.03944535774017612, 0.03920112608287197, 0.06894664877237609, -0.12908902897929342, -0.08339540307195141, 0.3793646941964443, -0.09014118711302917, -0.01996694145580897, 0.13589706267230212, -0.1903284773767854, -0.19438805090836608, 0.17682169172733736, 0.12452255884239163, 0.1144376397108807, -0.18521047235968022, 0.0381311936774112, -0.027570292156619523, 0.22376829984669502, 0.026668219965022916, 0.081098818522878, 0.2503818640843607, 0.10025433911225544, -0.0332028141648222, 0.14556051635792336, -0.22301369689163178, -0.029928634419607428, -0.32452004801732703, -0.07324756698396344, -0.20426916575077206, 0.032750924852175206, -0.11433662307569578, -0.10739122092580566, 0.43951261292856475, 0.08110840390257251, 0.20100524123184957, 0.056270707971774615, 0.2840259358859979, 0.1139109074330638, 0.07950276807846071, 0.10362947408933766, 0.3002145966586585, 0.07583003983152314, 0.13593426229647146, -0.20041122060501948, 0.05165506226655382, 0.00259072664910211] |
711.0161 | Lectures on Models of Neutrino Masses and Mixings | We present a concise review of models for neutrino masses and mixings with
particular emphasis on recent developments and current problems. We discuss in
detail attempts at reproducing approximate tri-bimaximal mixing starting from
discrete symmetry groups, notably A4. We discuss the problems encountered when
trying to extend the symmetry to the quark sector and to construct Grand
Unified versions.
| hep-ph | we present a concise review of models for neutrino masses and mixings with particular emphasis on recent developments and current problems we discuss in detail attempts at reproducing approximate tribimaximal mixing starting from discrete symmetry groups notably a4 we discuss the problems encountered when trying to extend the symmetry to the quark sector and to construct grand unified versions | [['we', 'present', 'a', 'concise', 'review', 'of', 'models', 'for', 'neutrino', 'masses', 'and', 'mixings', 'with', 'particular', 'emphasis', 'on', 'recent', 'developments', 'and', 'current', 'problems', 'we', 'discuss', 'in', 'detail', 'attempts', 'at', 'reproducing', 'approximate', 'tribimaximal', 'mixing', 'starting', 'from', 'discrete', 'symmetry', 'groups', 'notably', 'a4', 'we', 'discuss', 'the', 'problems', 'encountered', 'when', 'trying', 'to', 'extend', 'the', 'symmetry', 'to', 'the', 'quark', 'sector', 'and', 'to', 'construct', 'grand', 'unified', 'versions']] | [-0.03573019954107576, 0.1515267104762843, -0.012899386278211565, 0.1904451391675462, -0.10812452549146394, -0.12748796773001048, 0.05128584523937839, 0.37647912581845866, -0.2159441077481892, -0.28438171551768054, 0.12480624362439612, -0.24875045529077366, -0.1248725568589565, 0.11728122137423794, -0.0871820065776928, 0.05383773387993796, 0.020026720815606542, -0.02083242265507579, -0.18575162445273946, -0.23527722313242444, 0.32764229354432833, 0.010968909780415943, 0.22698496031117135, 0.0503426173038907, 0.0952910459600389, -0.04427759169395697, -0.05848001799214694, -0.09451344129392657, -0.18513569947710987, 0.11761827830035808, 0.22734137989712092, 0.1074309834294905, 0.14115644934571395, -0.4778055289791802, -0.19248610745594538, 0.1211650948932047, 0.1112662683767898, 0.1800067256583627, -0.1194722138254477, -0.28749039352445277, 0.02454789885777538, -0.20295883463379943, -0.18855221017058624, -0.12411259040552175, -0.03389892107570323, -0.0585343199229594, -0.2785810578803895, 0.06094470768535541, -0.04674021480605006, 0.009003977291285992, -0.008247282703296614, -0.21150902488221557, 0.047148852395998725, 0.06148873078409914, 0.1810867882933531, -0.02240833429367108, 0.06778556800800596, -0.16657193417076843, -0.15399607203079987, 0.4795546863796347, -0.027131226588577285, -0.14375801027705104, 0.18293534381851806, -0.1211111896939702, -0.2645781492830207, -0.0117636273094153, 0.20598129834979773, 0.05952095685495158, -0.13451436295897218, 0.16656944953335323, -0.08263380950222075, 0.07248262866889521, 0.037025612510614474, 0.0020113496614967362, 0.24614742859187771, 0.18174246909349398, 0.03119694934052936, 0.05878004067088083, -0.0009455807345240551, -0.15185588910796885, -0.3809420881098357, -0.06303738220200195, -0.05887847716951648, 0.02224064043770402, -0.0011041805424857726, -0.08013252693354704, 0.4690494049908751, 0.20048767516105356, 0.22147691507145004, 0.09185901633069171, 0.25703878801758007, 0.05108046364354885, 0.042144868712304, 0.03534937553281375, 0.2093372772589831, 0.1805496159467404, 0.11824949748095882, -0.1993425206510129, -0.06914041877006007, 0.12921377730761038] |
711.0162 | Definable Davies' Theorem | We prove the following analogue of a Theorem of R.O. Davies: Every
$\Sigma^1_2$ function $f:\R\times\R\to\R$ can be represented as a sum of
rectangular $\Sigma^1_2$ functions if and only if all reals are constructible.
| math.LO | we prove the following analogue of a theorem of ro davies every sigma1_2 function frtimesrtor can be represented as a sum of rectangular sigma1_2 functions if and only if all reals are constructible | [['we', 'prove', 'the', 'following', 'analogue', 'of', 'a', 'theorem', 'of', 'ro', 'davies', 'every', 'sigma1_2', 'function', 'frtimesrtor', 'can', 'be', 'represented', 'as', 'a', 'sum', 'of', 'rectangular', 'sigma1_2', 'functions', 'if', 'and', 'only', 'if', 'all', 'reals', 'are', 'constructible']] | [-0.155492048135784, 0.1464146532525774, -0.10216616786783561, 0.10096764002810232, -0.04531314114865381, -0.13913528455304913, 0.013513217971194535, 0.3092931603459874, -0.35006520618480863, -0.14699168497463688, 0.11731554158905055, -0.26417354494333267, -0.17267839022679254, 0.23508001724258065, -0.10870053716644179, -0.002641591738210991, 0.037141470769711304, 0.04147742561326595, -0.07214658096199855, -0.26600831317773554, 0.29796321119647473, -0.15318069083150476, 0.16303625068394467, 0.09018127356830519, 0.13375077983073425, 0.07378603542747442, 0.026227099122479558, 0.0920812749536708, -0.10847472536261193, 0.037613312422763556, 0.28049229498719797, 0.21291186592861777, 0.2995286234654486, -0.3466472789687032, -0.1323839948454406, 0.2315536307869479, 0.11285261409648228, -0.010754458089650143, 0.06243083372100955, -0.19239663798362017, 0.17425390442076605, -0.16354182682698593, -0.1503193507087417, -0.0416421873960644, 0.09737387001223397, 0.14858058352547232, -0.3089055582531728, 0.03538403002312407, 0.1486680211382918, 0.03526255357428454, -0.06173778026277432, -0.12192946078721434, -0.11464143787452485, 0.07702005995088257, -0.050018927751807496, 0.10100561850413214, 0.06519792336439423, -0.015360403514932841, -0.14253010471293237, 0.3479702956683468, -0.08820687592378817, -0.26157633162802085, 0.0643172363343183, -0.16181315388530493, -0.1275700919359224, 0.0400642266322393, 0.02287455088662682, 0.16711448167916387, -0.05392917318386026, 0.18128726596296474, -0.24984799703815952, 0.17438752969610505, 0.22306511424540076, 0.03666753685683943, 0.1648341073159827, 0.05744092704844661, 0.06875502594630234, 0.1851072043318709, 0.0649790411698632, 0.006600429056561552, -0.3787242076359689, -0.15033942507579923, -0.2267964183120057, 0.18884717545006424, -0.1215547384194906, -0.23304118873784319, 0.32580040907487273, 0.04067028939607553, 0.15829795219178777, 0.15654297030414455, 0.24296472186688334, 0.17597336475955672, 0.048003591800807044, 0.11999838048359379, 0.1461556993672275, 0.160626371660328, -0.05689217516919598, -0.011055355644202791, 0.042474416506593116, 0.21587173524312675] |
711.0163 | Isoperimetry and Rough Path Regularity | Optimal sample path properties of stochastic processes often involve
generalized H\"{o}lder- or variation norms. Following a classical result of
Taylor, the exact variation of Brownian motion is measured in terms of $\psi
(x) \equiv $ $x^{2}/\log \log (1/x) $ near $0+$. Such $\psi $-variation results
extend to classes of processes with values in abstract metric spaces. (No
Gaussian or Markovian properties are assumed.) To establish integrability
properties of the $\psi $-variation we turn to a large class of Gaussian rough
paths (e.g. Brownian motion and L\'{e}vy's area viewed as a process in a Lie
group) and prove Gaussian integrability properties using Borell's inequality on
abstract Wiener spaces. The interest in such results is that they are
compatible with rough path theory and yield certain sharp regularity and
integrability properties (for iterated Stratonovich integrals, for example)
which would be difficult to obtain otherwise. At last, $\psi $-variation is
identified as robust regularity property of solutions to (random) rough
differential equations beyond semimartingales.
| math.PR | optimal sample path properties of stochastic processes often involve generalized holder or variation norms following a classical result of taylor the exact variation of brownian motion is measured in terms of psi x equiv x2log log 1x near 0 such psi variation results extend to classes of processes with values in abstract metric spaces no gaussian or markovian properties are assumed to establish integrability properties of the psi variation we turn to a large class of gaussian rough paths eg brownian motion and levys area viewed as a process in a lie group and prove gaussian integrability properties using borells inequality on abstract wiener spaces the interest in such results is that they are compatible with rough path theory and yield certain sharp regularity and integrability properties for iterated stratonovich integrals for example which would be difficult to obtain otherwise at last psi variation is identified as robust regularity property of solutions to random rough differential equations beyond semimartingales | [['optimal', 'sample', 'path', 'properties', 'of', 'stochastic', 'processes', 'often', 'involve', 'generalized', 'holder', 'or', 'variation', 'norms', 'following', 'a', 'classical', 'result', 'of', 'taylor', 'the', 'exact', 'variation', 'of', 'brownian', 'motion', 'is', 'measured', 'in', 'terms', 'of', 'psi', 'x', 'equiv', 'x2log', 'log', '1x', 'near', '0', 'such', 'psi', 'variation', 'results', 'extend', 'to', 'classes', 'of', 'processes', 'with', 'values', 'in', 'abstract', 'metric', 'spaces', 'no', 'gaussian', 'or', 'markovian', 'properties', 'are', 'assumed', 'to', 'establish', 'integrability', 'properties', 'of', 'the', 'psi', 'variation', 'we', 'turn', 'to', 'a', 'large', 'class', 'of', 'gaussian', 'rough', 'paths', 'eg', 'brownian', 'motion', 'and', 'levys', 'area', 'viewed', 'as', 'a', 'process', 'in', 'a', 'lie', 'group', 'and', 'prove', 'gaussian', 'integrability', 'properties', 'using', 'borells', 'inequality', 'on', 'abstract', 'wiener', 'spaces', 'the', 'interest', 'in', 'such', 'results', 'is', 'that', 'they', 'are', 'compatible', 'with', 'rough', 'path', 'theory', 'and', 'yield', 'certain', 'sharp', 'regularity', 'and', 'integrability', 'properties', 'for', 'iterated', 'stratonovich', 'integrals', 'for', 'example', 'which', 'would', 'be', 'difficult', 'to', 'obtain', 'otherwise', 'at', 'last', 'psi', 'variation', 'is', 'identified', 'as', 'robust', 'regularity', 'property', 'of', 'solutions', 'to', 'random', 'rough', 'differential', 'equations', 'beyond', 'semimartingales']] | [-0.10358151446869772, 0.1030136767479023, -0.10502468059483752, 0.13318475584231426, -0.11364423721419566, -0.10984711608931469, 0.002901632750975027, 0.3759689001987378, -0.35244053801955105, -0.2451730701931805, 0.11662589690908673, -0.2713541998366866, -0.13885715474087582, 0.2116829059789625, -0.14312897811192762, 0.10233314669445383, 0.040762785860226025, 0.03556265568056103, -0.07498767288217216, -0.22196637730131735, 0.30435042836746007, -0.04461691744329771, 0.18816033946262356, -0.02404648256517431, 0.12459314558889319, 0.030507121807690593, -0.017879534515686944, 0.014520224072507717, -0.20265540390286585, 0.09863512558604842, 0.24163767910246156, 0.037851618654123925, 0.2730281145411467, -0.37119276683942126, -0.2030755554387381, 0.1404871256134631, 0.10014648567572157, -0.012223066033578754, 0.00893285219870953, -0.28713036425786576, 0.06561496323369935, -0.07111750990620949, -0.21366301012436315, -0.07479447341207766, 0.047668570214765345, 0.08746022089683222, -0.32512999018478506, 0.1138348677107748, 0.12151241437209852, 0.04912715181181172, -0.0532226041017932, -0.11303943611605316, -0.014929379635262039, 0.059987950686412224, 0.0392779697506299, 0.03431698100702872, 0.15349952758248872, -0.09911093015645472, -0.14011569898912343, 0.31922784486328654, -0.09612226967609036, -0.27352258311174577, 0.1681256974496697, -0.16887401564796484, -0.15363298392848773, 0.14392189435227393, 0.13370971123500486, 0.13477436160674588, -0.1761064406882667, 0.14743401471425854, -0.021661160756839708, 0.09611880371885949, 0.12086475890059516, 0.09813423421301253, 0.08528449166093517, 0.09128818974856569, 0.13067311190841896, 0.11622989081789346, -0.0012723252531609633, -0.1512706410688928, -0.3595938893187346, -0.16901177375170304, -0.13352553976359982, 0.14341626482219114, -0.13842788695338704, -0.22694776152149312, 0.2711773777114075, 0.09214378056173511, 0.19076272047493817, 0.1199214666233978, 0.17690329635867252, 0.16707901322903732, 0.0009510675196260589, 0.04617609614037774, 0.16588040499262652, 0.19596947976768767, 0.10170820094469302, -0.09929711258320033, 0.09310835973599797, 0.1357656459546642] |
711.0164 | A note on convergence of the equi-energy sampler | In a recent paper `The equi-energy sampler with applications statistical
inference and statistical mechanics' [Ann. Stat. 34 (2006) 1581--1619], Kou,
Zhou & Wong have presented a new stochastic simulation method called the
equi-energy (EE) sampler. This technique is designed to simulate from a
probability measure $\pi$, perhaps only known up to a normalizing constant. The
authors demonstrate that the sampler performs well in quite challenging
problems but their convergence results (Theorem 2) appear incomplete. This was
pointed out, in the discussion of the paper, by Atchad\'e & Liu (2006) who
proposed an alternative convergence proof. However, this alternative proof,
whilst theoretically correct, does not correspond to the algorithm that is
implemented. In this note we provide a new proof of convergence of the
equi-energy sampler based on the Poisson equation and on the theory developed
in Andrieu et al. (2007) for \emph{Non-Linear} Markov chain Monte Carlo (MCMC).
The objective of this note is to provide a proof of correctness of the EE
sampler when there is only one feeding chain; the general case requires a much
more technical approach than is suitable for a short note. In addition, we also
seek to highlight the difficulties associated with the analysis of this type of
algorithm and present the main techniques that may be adopted to prove the
convergence of it.
| stat.CO math.ST stat.TH | in a recent paper the equienergy sampler with applications statistical inference and statistical mechanics ann stat 34 2006 15811619 kou zhou wong have presented a new stochastic simulation method called the equienergy ee sampler this technique is designed to simulate from a probability measure pi perhaps only known up to a normalizing constant the authors demonstrate that the sampler performs well in quite challenging problems but their convergence results theorem 2 appear incomplete this was pointed out in the discussion of the paper by atchade liu 2006 who proposed an alternative convergence proof however this alternative proof whilst theoretically correct does not correspond to the algorithm that is implemented in this note we provide a new proof of convergence of the equienergy sampler based on the poisson equation and on the theory developed in andrieu et al 2007 for emphnonlinear markov chain monte carlo mcmc the objective of this note is to provide a proof of correctness of the ee sampler when there is only one feeding chain the general case requires a much more technical approach than is suitable for a short note in addition we also seek to highlight the difficulties associated with the analysis of this type of algorithm and present the main techniques that may be adopted to prove the convergence of it | [['in', 'a', 'recent', 'paper', 'the', 'equienergy', 'sampler', 'with', 'applications', 'statistical', 'inference', 'and', 'statistical', 'mechanics', 'ann', 'stat', '34', '2006', '15811619', 'kou', 'zhou', 'wong', 'have', 'presented', 'a', 'new', 'stochastic', 'simulation', 'method', 'called', 'the', 'equienergy', 'ee', 'sampler', 'this', 'technique', 'is', 'designed', 'to', 'simulate', 'from', 'a', 'probability', 'measure', 'pi', 'perhaps', 'only', 'known', 'up', 'to', 'a', 'normalizing', 'constant', 'the', 'authors', 'demonstrate', 'that', 'the', 'sampler', 'performs', 'well', 'in', 'quite', 'challenging', 'problems', 'but', 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'approach', 'than', 'is', 'suitable', 'for', 'a', 'short', 'note', 'in', 'addition', 'we', 'also', 'seek', 'to', 'highlight', 'the', 'difficulties', 'associated', 'with', 'the', 'analysis', 'of', 'this', 'type', 'of', 'algorithm', 'and', 'present', 'the', 'main', 'techniques', 'that', 'may', 'be', 'adopted', 'to', 'prove', 'the', 'convergence', 'of', 'it']] | [-0.0391452664544987, 0.016901433028680104, -0.1459115417631067, 0.09632901323439674, -0.07849444353228642, -0.15714720308271893, 0.06508476414698332, 0.3662295726869531, -0.24385856961641736, -0.3124568406966756, 0.09775055105759141, -0.21693909396331204, -0.16764303394463947, 0.22049469872662383, -0.13310206875084313, 0.05216350375364224, 0.10960763635510509, -0.026522683973275382, -0.03531590830903884, -0.3025626061372114, 0.22789386141165677, 0.12737520920388676, 0.2806299343420606, 0.023530727366623642, 0.11813278900646967, 0.023244036587938253, -0.07004595613020852, -0.024112563761365082, -0.17137276734215615, 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711.0165 | A slice theorem for quivers with an involution | We study the Luna slice theorem in the case of quivers with an involution or
supermixed quivers as introduced by Zubkov. We construct an analogue to the
notion of a local quiver setting. We use this technique to determine dimension
vectors of simple supermixed representations.
| math.RT | we study the luna slice theorem in the case of quivers with an involution or supermixed quivers as introduced by zubkov we construct an analogue to the notion of a local quiver setting we use this technique to determine dimension vectors of simple supermixed representations | [['we', 'study', 'the', 'luna', 'slice', 'theorem', 'in', 'the', 'case', 'of', 'quivers', 'with', 'an', 'involution', 'or', 'supermixed', 'quivers', 'as', 'introduced', 'by', 'zubkov', 'we', 'construct', 'an', 'analogue', 'to', 'the', 'notion', 'of', 'a', 'local', 'quiver', 'setting', 'we', 'use', 'this', 'technique', 'to', 'determine', 'dimension', 'vectors', 'of', 'simple', 'supermixed', 'representations']] | [-0.1137104748437802, 0.0592540568626848, -0.11042734082374307, 0.08982256733967613, -0.10014593798874152, -0.12419252414385684, 0.0028215894889500404, 0.3461195035941071, -0.3443660758435726, -0.21804670362422865, 0.06866470916558885, -0.20350004865063562, -0.20505447121233575, 0.13715914652889802, -0.21538613204740817, -0.05861079824260539, 0.019797286556826697, 0.06745202579121623, -0.09290301062994533, -0.2961312181419796, 0.3989704315861066, 0.02098116332458125, 0.23227146689573097, 0.006296231442441543, 0.12644151929352018, 0.12336022331275874, -0.03751249930096997, -0.024292449239227507, -0.20499351875235636, 0.17705902179910077, 0.2609345050114724, 0.08373865134910577, 0.1742166757531878, -0.347402630166875, -0.12948559605671714, 0.22572280805971887, 0.14385662753548886, 0.13351057374642955, -0.028632039964819948, -0.2737147948342479, 0.09854052130960755, -0.2339498803847366, -0.2481983186159697, -0.0797479119979673, 0.02959542775319682, -0.0558794040284637, -0.25289944211641946, -0.037781617645588184, 0.09431247102717559, 0.14744983648674356, -0.1038109770976007, -0.04743287199073368, -0.027361187633747855, 0.0802714744505162, -0.03856454315698809, 0.05208964000662996, 0.05296392406647404, -0.09728707861051791, -0.22103267154759831, 0.2785003473671774, -0.050520367299517, -0.25657918764174814, 0.16921979474524657, -0.07849684246919221, -0.17904920695970455, 0.026498300044072998, 0.10952661140925354, 0.1730616870853636, -0.07888871462394793, 0.1260087110309137, -0.14628388215270308, 0.049715607434821625, 0.14378075854231914, -0.020705322300394378, 0.12880579080018734, 0.11847039795377189, 0.06966574643221167, 0.2303441568898658, -0.030942105822679068, -3.180127176973555e-05, -0.3107859571360879, -0.1882392924485935, -0.09477686422049171, 0.08914738697931171, -0.0861133298319247, -0.17376549049384063, 0.3682565887769063, 0.09922159155830741, 0.22656987282550997, 0.12615575440641907, 0.20963597656227648, 0.08198295706210451, 0.1054363056189484, 0.01011441768043571, 0.0775111100739903, 0.2407327976077795, -0.0035720406307114495, -0.1237575309144126, -0.08509232974093821, 0.28079026902301446] |
711.0166 | Optical spectroscopy of Arp220: the star formation history of the
closest ULIRG | We present optical spectra of the merging system Arp 220,taken with the
William Herschel Telescope(WHT) on La Palma. These data were taken with the aim
of investigating the evolution and star formation history of this object.
Spectral synthesis modelling has been used to estimate the ages of the stellar
populations found in the diffuse light sampled by the spectra. The data show a
remarkable uniformity in the stellar populations across the full 65 arcsec
covered by our slit positions, sampling the measurable extent of the galaxy.
The results are consistent with a dominant intermediate-age stellar population
(ISP) with age 0.5 < t_{ISP} $\leq$ 0.9 Gyr that is present at all locations,
with varying contributions from a young ($\leq$ 0.1 Gyr) stellar population
(YSP) component. However, it is notable that while the flux contribution of the
YSP component in the extended regions is relatively small ($\leq$ 40%),
adequate fits in the nuclear region are only found for combinations with a
significant contribution of a YSP component (22 - 63%). Moreover, while a low
intrinsic reddening (E(B - V)$\lsim$ 0.3) is found for the ISPs in the extended
regions, intrinsic reddening values as high as E(B - V) ~ 1.0 are required in
the galactic center. This clearly reflects the presence of a reddening
gradient, with higher concentrations of gas and dust towards the nuclear
regions, coinciding with dust lanes in the HST images. Overall, our results are
consistent with models that predict an epoch of enhanced star formation
coinciding with the first pass of the merging nuclei (represented by the ISP),
with a further episode of star formation occurring as the nuclei finally merge
together (represented by the YSP and ULIRG).
| astro-ph | we present optical spectra of the merging system arp 220taken with the william herschel telescopewht on la palma these data were taken with the aim of investigating the evolution and star formation history of this object spectral synthesis modelling has been used to estimate the ages of the stellar populations found in the diffuse light sampled by the spectra the data show a remarkable uniformity in the stellar populations across the full 65 arcsec covered by our slit positions sampling the measurable extent of the galaxy the results are consistent with a dominant intermediateage stellar population isp with age 05 t_isp leq 09 gyr that is present at all locations with varying contributions from a young leq 01 gyr stellar population ysp component however it is notable that while the flux contribution of the ysp component in the extended regions is relatively small leq 40 adequate fits in the nuclear region are only found for combinations with a significant contribution of a ysp component 22 63 moreover while a low intrinsic reddening eb vlsim 03 is found for the isps in the extended regions intrinsic reddening values as high as eb v 10 are required in the galactic center this clearly reflects the presence of a reddening gradient with higher concentrations of gas and dust towards the nuclear regions coinciding with dust lanes in the hst images overall our results are consistent with models that predict an epoch of enhanced star formation coinciding with the first pass of the merging nuclei represented by the isp with a further episode of star formation occurring as the nuclei finally merge together represented by the ysp and ulirg | [['we', 'present', 'optical', 'spectra', 'of', 'the', 'merging', 'system', 'arp', '220taken', 'with', 'the', 'william', 'herschel', 'telescopewht', 'on', 'la', 'palma', 'these', 'data', 'were', 'taken', 'with', 'the', 'aim', 'of', 'investigating', 'the', 'evolution', 'and', 'star', 'formation', 'history', 'of', 'this', 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'adequate', 'fits', 'in', 'the', 'nuclear', 'region', 'are', 'only', 'found', 'for', 'combinations', 'with', 'a', 'significant', 'contribution', 'of', 'a', 'ysp', 'component', '22', '63', 'moreover', 'while', 'a', 'low', 'intrinsic', 'reddening', 'eb', 'vlsim', '03', 'is', 'found', 'for', 'the', 'isps', 'in', 'the', 'extended', 'regions', 'intrinsic', 'reddening', 'values', 'as', 'high', 'as', 'eb', 'v', '10', 'are', 'required', 'in', 'the', 'galactic', 'center', 'this', 'clearly', 'reflects', 'the', 'presence', 'of', 'a', 'reddening', 'gradient', 'with', 'higher', 'concentrations', 'of', 'gas', 'and', 'dust', 'towards', 'the', 'nuclear', 'regions', 'coinciding', 'with', 'dust', 'lanes', 'in', 'the', 'hst', 'images', 'overall', 'our', 'results', 'are', 'consistent', 'with', 'models', 'that', 'predict', 'an', 'epoch', 'of', 'enhanced', 'star', 'formation', 'coinciding', 'with', 'the', 'first', 'pass', 'of', 'the', 'merging', 'nuclei', 'represented', 'by', 'the', 'isp', 'with', 'a', 'further', 'episode', 'of', 'star', 'formation', 'occurring', 'as', 'the', 'nuclei', 'finally', 'merge', 'together', 'represented', 'by', 'the', 'ysp', 'and', 'ulirg']] | [-0.041712697327516736, 0.11620299340999209, -0.0668638776229588, 0.08729637471909164, -0.015635417831882943, -0.05728144202135654, 0.04590600019843211, 0.4315905097796413, -0.1892593587607805, -0.3714338863454072, 0.0650294467504394, -0.2970400420653314, -0.012664432360101629, 0.159234867104745, -0.05832475868669882, -0.0776832831315881, 0.05647992116409419, -0.05903695020575516, -0.029174857522604552, -0.25425560763140115, 0.304506640260991, 0.0682297965865651, 0.17181073417938642, -0.025688462163840603, 0.07752010643540631, -0.07932256304914977, -0.08971170691010368, -0.01381082589844606, -0.12142260955442907, 0.0910051742970696, 0.2437233670212173, 0.08969530851642062, 0.23602319892864876, -0.33865077343401656, -0.21672251462469022, 0.050715850805348246, 0.19740618397894133, 0.03162129625688372, 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-0.15519130862786432, -0.08219011183106427, 0.3489742645395858, 0.10537059150629323, 0.2579023235810859, 0.05143873967955016, 0.28501592333019604, 0.07708036182602916, 0.13183032529517955, 0.1033502843237836, 0.284893111140438, 0.16189745880450324, 0.09723668338127806, -0.2279425765124813, 0.10779675387354684, -0.03476716176610151] |
711.0167 | Finite-volume Correction to the Pion Decay Constant in the
Epsilon-Regime | In the chiral limit of QCD, the pion decay constant F can be extracted from
lattice gauge theory by means of a coupling to isospin chemical potential. Here
we compute the leading correction due to finite volume in the epsilon-expansion
of chiral perturbation theory. A comparison is made to recent Monte Carlo data.
| hep-lat | in the chiral limit of qcd the pion decay constant f can be extracted from lattice gauge theory by means of a coupling to isospin chemical potential here we compute the leading correction due to finite volume in the epsilonexpansion of chiral perturbation theory a comparison is made to recent monte carlo data | [['in', 'the', 'chiral', 'limit', 'of', 'qcd', 'the', 'pion', 'decay', 'constant', 'f', 'can', 'be', 'extracted', 'from', 'lattice', 'gauge', 'theory', 'by', 'means', 'of', 'a', 'coupling', 'to', 'isospin', 'chemical', 'potential', 'here', 'we', 'compute', 'the', 'leading', 'correction', 'due', 'to', 'finite', 'volume', 'in', 'the', 'epsilonexpansion', 'of', 'chiral', 'perturbation', 'theory', 'a', 'comparison', 'is', 'made', 'to', 'recent', 'monte', 'carlo', 'data']] | [-0.10337004142666217, 0.211262035956782, -0.14533587616323582, 0.04542871056133354, -0.050068698507153765, -0.0684846381147234, 0.08703228114787841, 0.33477150079495505, -0.24194975380065306, -0.23296150790070588, 0.03370519086964569, -0.3302846016748896, -0.07774301801087721, 0.07832837531799977, 0.05865178784390666, 0.1015719159457938, 0.009580643944231406, 0.0312874649282334, -0.10468727930993685, -0.21724878391250968, 0.285982201684196, 0.03644528578228827, 0.2191287570738427, 0.16322303591471798, 0.02650537559068498, -0.011251683824669288, -0.04823458451285677, 0.015109230078897386, -0.16774662483026678, 0.09368738133179129, 0.2243399084809254, -0.05284236596440369, 0.15833035568302534, -0.4245681554289921, -0.22198328537479886, 0.08778532376548029, 0.14419262926533538, 0.2298693021952684, -0.053675240678888445, -0.2788092872338756, 0.09613561885264474, -0.24192343458955018, -0.19331648313431596, -0.1704006256922236, -0.03527884656247103, -0.047440401673808974, -0.319203374573504, 0.08744138883062164, -0.10768689411991048, 0.07675057226124238, 0.02678303322139776, -0.13651969881271417, -0.014987588596512686, 0.0831877307896063, 0.11205594931544631, 0.13222527046652757, 0.14294692734256387, -0.15979829670439633, -0.1391571005542745, 0.4204781472964107, -0.12194896194170106, -0.18032069500746592, 0.09617658314418118, -0.13883403741385578, -0.12557915859978716, 0.152770043754915, 0.14104531171186915, 0.09437264964964136, -0.16490825114525715, 0.18942314593718862, 0.031040218553312543, 0.17108984308686317, 0.056849967249018966, -0.02138793399944058, 0.17742171343679558, 0.13253805899272128, -0.02255087402069344, 0.10304232896415447, -0.04178243929977125, -0.1852059113388916, -0.35775258465898485, -0.07803339560358029, -0.2303961163456991, 0.13452549891124638, -0.13819764971618875, -0.18447828950044118, 0.31947928157476885, 0.17887961541144354, 0.17679143099571173, 0.018424002752410917, 0.27682122946628984, 0.13656819765543882, 0.10575435058002905, -0.022351082844905695, 0.2556225972706979, 0.2491372143893661, 0.05886981355131797, -0.29675068492333423, -0.057110115365160384, 0.16000389318280625] |
711.0168 | Magnetic resonance in iron oxide nanoparticles: quantum features and
effect of size | In order to better understand the transition from quantum to classical
behavior in spin system, electron magnetic resonance (EMR) is studied in
suspensions of superparamagnetic magnetite nanoparticles with an average
diameter of ~ 9 nm and analyzed in comparison with the results obtained in the
maghemite particles of smaller size (~ 5 nm). It is shown that both types of
particles demonstrate common EMR behavior, including special features such as
the temperature-dependent narrow spectral component and multiple-quantum
transitions. These features are common for small quantum systems and not
expected in classical case. The relative intensity of these signals rapidly
decreases with cooling or increase of particle size, marking gradual transition
to the classical FMR behavior.
| cond-mat.mtrl-sci | in order to better understand the transition from quantum to classical behavior in spin system electron magnetic resonance emr is studied in suspensions of superparamagnetic magnetite nanoparticles with an average diameter of 9 nm and analyzed in comparison with the results obtained in the maghemite particles of smaller size 5 nm it is shown that both types of particles demonstrate common emr behavior including special features such as the temperaturedependent narrow spectral component and multiplequantum transitions these features are common for small quantum systems and not expected in classical case the relative intensity of these signals rapidly decreases with cooling or increase of particle size marking gradual transition to the classical fmr behavior | [['in', 'order', 'to', 'better', 'understand', 'the', 'transition', 'from', 'quantum', 'to', 'classical', 'behavior', 'in', 'spin', 'system', 'electron', 'magnetic', 'resonance', 'emr', 'is', 'studied', 'in', 'suspensions', 'of', 'superparamagnetic', 'magnetite', 'nanoparticles', 'with', 'an', 'average', 'diameter', 'of', '9', 'nm', 'and', 'analyzed', 'in', 'comparison', 'with', 'the', 'results', 'obtained', 'in', 'the', 'maghemite', 'particles', 'of', 'smaller', 'size', '5', 'nm', 'it', 'is', 'shown', 'that', 'both', 'types', 'of', 'particles', 'demonstrate', 'common', 'emr', 'behavior', 'including', 'special', 'features', 'such', 'as', 'the', 'temperaturedependent', 'narrow', 'spectral', 'component', 'and', 'multiplequantum', 'transitions', 'these', 'features', 'are', 'common', 'for', 'small', 'quantum', 'systems', 'and', 'not', 'expected', 'in', 'classical', 'case', 'the', 'relative', 'intensity', 'of', 'these', 'signals', 'rapidly', 'decreases', 'with', 'cooling', 'or', 'increase', 'of', 'particle', 'size', 'marking', 'gradual', 'transition', 'to', 'the', 'classical', 'fmr', 'behavior']] | [-0.06414773906848963, 0.20937671049910625, -0.0238718642354572, 0.03206967928784743, 0.010261063661788944, -0.1322849290445447, -0.00881579126008844, 0.391623435558471, -0.25268242297183097, -0.34326232505747967, 0.04650003687000578, -0.33489494742125075, -0.10256816186134464, 0.1844349308619358, -0.007028467223806455, 0.05717220004911708, 0.0015045775108830592, 0.037593139762025884, -0.04897697966966152, -0.17740791469124204, 0.24765367194828866, 0.03775830240302051, 0.3007880317343943, 0.047680721419852586, 0.023598974306894616, 0.0005153716831319693, 0.06443927757260678, 0.04346711132510574, -0.13915300054664453, 0.034063124790194285, 0.2445349699891774, 0.011439942552881168, 0.1991235369124112, -0.41333319375340916, -0.20598393063724404, 0.061016395164703106, 0.17378659160453333, 0.08962105094265621, -0.036774882116453904, -0.2725027821879768, 0.09717781096799875, -0.10772554847964011, -0.14462423895741194, -0.039853686657919656, 0.03574465314519748, 0.050251369126577884, -0.23567355753425345, 0.09753758362875592, 0.10709256178781079, 0.12314281689283331, -0.05802648489783823, -0.14331046094503913, -3.5119984727517695e-05, 0.10744464350246156, 0.053706398823059505, -0.014708765650547184, 0.212806396614925, -0.12891762904806794, -0.1115430423792089, 0.3652751169422955, -0.07035391733145127, -0.08978593553029067, 0.23298944999768803, -0.20683991432651483, -0.05022971647733872, 0.20176116928182114, 0.1488828613150832, 0.11441533187140537, -0.1171797999156128, -0.011331569322537366, 0.0361533561449465, 0.24005342036716443, 0.06161309063302732, 0.0817571000661701, 0.18874882573706914, 0.18110263600648768, -0.0015757962570946038, 0.17583502272135718, -0.1343431623438291, -0.13583243800434325, -0.1897455102870183, -0.16765714896661518, -0.18442682624357729, 0.05329965908233328, -0.1230378749516877, -0.17925538724382095, 0.3595572653663369, 0.12704021477529912, 0.20898958136105036, -0.01255476268099011, 0.26190268409034584, 0.08811965367892774, 0.08495284366325848, 0.014628151835527568, 0.26009084732659093, 0.15521324660002658, 0.13611353081609823, -0.2652746712587016, 0.057952951095932355, -0.03785062094622877] |
711.0169 | Relative population size, co-operation pressure and strategy correlation
in two-population evolutionary dynamics | We study the coupled dynamics of two populations of random replicators by
means of statistical mechanics methods, and focus on the effects of relative
population size, strategy correlations and heterogeneities in the respective
co-operation pressures. To this end we generalise existing path-integral
approaches to replicator systems with random asymmetric couplings. This
technique allows one to formulate an effective dynamical theory, which is exact
in the thermodynamic limit and which can be solve for persistent order
parameters in a fixed-point regime regardless of the symmetry of the
interactions. The onset of instability can be determined self-consistently. We
calculate quantities such as the diversity of the respective populations and
their fitnesses in the stationary state, and compare results with data from a
numerical integration of the replicator equations
| q-bio.PE | we study the coupled dynamics of two populations of random replicators by means of statistical mechanics methods and focus on the effects of relative population size strategy correlations and heterogeneities in the respective cooperation pressures to this end we generalise existing pathintegral approaches to replicator systems with random asymmetric couplings this technique allows one to formulate an effective dynamical theory which is exact in the thermodynamic limit and which can be solve for persistent order parameters in a fixedpoint regime regardless of the symmetry of the interactions the onset of instability can be determined selfconsistently we calculate quantities such as the diversity of the respective populations and their fitnesses in the stationary state and compare results with data from a numerical integration of the replicator equations | [['we', 'study', 'the', 'coupled', 'dynamics', 'of', 'two', 'populations', 'of', 'random', 'replicators', 'by', 'means', 'of', 'statistical', 'mechanics', 'methods', 'and', 'focus', 'on', 'the', 'effects', 'of', 'relative', 'population', 'size', 'strategy', 'correlations', 'and', 'heterogeneities', 'in', 'the', 'respective', 'cooperation', 'pressures', 'to', 'this', 'end', 'we', 'generalise', 'existing', 'pathintegral', 'approaches', 'to', 'replicator', 'systems', 'with', 'random', 'asymmetric', 'couplings', 'this', 'technique', 'allows', 'one', 'to', 'formulate', 'an', 'effective', 'dynamical', 'theory', 'which', 'is', 'exact', 'in', 'the', 'thermodynamic', 'limit', 'and', 'which', 'can', 'be', 'solve', 'for', 'persistent', 'order', 'parameters', 'in', 'a', 'fixedpoint', 'regime', 'regardless', 'of', 'the', 'symmetry', 'of', 'the', 'interactions', 'the', 'onset', 'of', 'instability', 'can', 'be', 'determined', 'selfconsistently', 'we', 'calculate', 'quantities', 'such', 'as', 'the', 'diversity', 'of', 'the', 'respective', 'populations', 'and', 'their', 'fitnesses', 'in', 'the', 'stationary', 'state', 'and', 'compare', 'results', 'with', 'data', 'from', 'a', 'numerical', 'integration', 'of', 'the', 'replicator', 'equations']] | [-0.12094696978082149, 0.13361920170323824, -0.11981656071443539, 0.08851006438508482, -0.020509172800100513, -0.09767825952971294, 0.0669650012425827, 0.3293005236099282, -0.289733723219898, -0.29270660586743835, 0.0827385197866649, -0.2588263753791652, -0.15088968738240915, 0.11385107411456014, -0.023151687608795272, 0.039117653344181325, 0.025325178316543028, 0.018709588991773742, -0.06399345258250833, -0.22173933883655875, 0.34616575964600854, 0.03525548300424975, 0.275888362263758, 0.0012656869995038187, 0.09791113666927678, -0.0107341289690267, -0.0018203289401421826, 0.06322773613981784, -0.16191108311925614, 0.08716879309790712, 0.23405360696571215, 0.09338234769668252, 0.27722989374564755, -0.4329110722367962, -0.2224812580638432, 0.09940303783006375, 0.16684969335873906, 0.1741808102048549, 0.013813463325883882, -0.27979812456760556, 0.033831991166585966, -0.17546797536742237, -0.16220485736867266, -0.0874262861427038, -0.018227169659757424, 0.07858624196027421, -0.270831430190435, 0.09754741443057788, 0.02553712308231514, 0.04233695904443425, -0.08949635235550223, -0.08415434204803277, -0.025190770306387947, 0.15893488406898484, 0.04980861843149695, -0.0573066727365441, 0.1285850057971575, -0.13842411798291973, -0.1444059604601491, 0.3788145973849746, -0.0635687706027446, -0.21999639309346786, 0.22744977982005193, -0.11817038382240941, -0.13107526437970735, 0.10700191303141533, 0.18929604580625892, 0.13570944460049744, -0.17651897867298907, 0.0732000815873367, 0.017658499599848356, 0.14467976879446753, 0.0016677887918102362, 0.038959489750956734, 0.19401801336881896, 0.16750541583002945, 0.027479482400748465, 0.12648037172731988, -0.05877235986565846, -0.19595555409729953, -0.23635555432725047, -0.10576018227896254, -0.14473226115972335, 0.05107641666166721, -0.1201228354931652, -0.14374375596572275, 0.3871460280691584, 0.20028403694815342, 0.17693370993855217, 0.07793145700697861, 0.26535659525099964, 0.14197131115153233, 0.017798328048287196, 0.038474976681985906, 0.23035404229229908, 0.1696473498374135, 0.06739562380659793, -0.288148843031007, 0.07101785346666085, 0.06143834982215175] |
711.017 | Spherical and hyperbolic lengths of images of arcs | Let $f$ be an analytic function on the unit disc which is in the Dirichlet
class, so the Euclidean area of the image, counting multiplicity, is finite.
The Euclidean length of a radial arc of hyperbolic length $\rho$ is then
$o(\rho^1/2)$. In this note we consider the corresponding results when $f$ maps
into the unit disc with the hyperbolic metric or the Riemann sphere with the
spherical metric. Similar but not identical results hold.
| math.CV | let f be an analytic function on the unit disc which is in the dirichlet class so the euclidean area of the image counting multiplicity is finite the euclidean length of a radial arc of hyperbolic length rho is then orho12 in this note we consider the corresponding results when f maps into the unit disc with the hyperbolic metric or the riemann sphere with the spherical metric similar but not identical results hold | [['let', 'f', 'be', 'an', 'analytic', 'function', 'on', 'the', 'unit', 'disc', 'which', 'is', 'in', 'the', 'dirichlet', 'class', 'so', 'the', 'euclidean', 'area', 'of', 'the', 'image', 'counting', 'multiplicity', 'is', 'finite', 'the', 'euclidean', 'length', 'of', 'a', 'radial', 'arc', 'of', 'hyperbolic', 'length', 'rho', 'is', 'then', 'orho12', 'in', 'this', 'note', 'we', 'consider', 'the', 'corresponding', 'results', 'when', 'f', 'maps', 'into', 'the', 'unit', 'disc', 'with', 'the', 'hyperbolic', 'metric', 'or', 'the', 'riemann', 'sphere', 'with', 'the', 'spherical', 'metric', 'similar', 'but', 'not', 'identical', 'results', 'hold']] | [-0.12701072789766915, 0.1068818553046671, -0.08957413737088034, 0.04902826520384685, -0.07901349982042631, -0.09481418697316557, -0.051016067039884934, 0.36544886052812614, -0.26411961096861997, -0.19623199516065318, 0.0975573084457484, -0.2991080703213811, -0.11592954848191306, 0.202261886990004, -0.10636044248431437, 0.05519085079559112, 0.0447745686843481, 0.13086931668668475, -0.09609813481722385, -0.2793733097903099, 0.3835381837178991, -0.017299376415369445, 0.19615797203493446, 0.06132699116069364, 0.07517368428740803, 0.016701934399874243, -0.011037509473780655, 0.05090942563272196, -0.19426456447180412, 0.11233032230696041, 0.2063654723947179, 0.06811188872622913, 0.24081207862863802, -0.3835500647403198, -0.2001692230672869, 0.16868429323530768, 0.12664357400563073, -0.03740269967118814, 0.0039828030810346955, -0.22751823427436285, 0.10316276632262113, -0.07208766534363162, -0.17522666444491647, 0.05016303397970249, 0.047546164885367434, 0.022274740099307303, -0.24225037372096964, 0.03668099506566786, 0.1469843941549324, 0.05624128585961992, -0.11460120377947308, -0.08135565332047744, -0.027599415690829493, 0.09886943494896278, 0.0414961936057558, 0.1579915708543299, 0.098186387023442, -0.049147789414385204, -0.02583567798775557, 0.3787608131868382, -0.061786682364109856, -0.330748422045822, 0.125145412861108, -0.2512736927896534, -0.08792193115318883, 0.11377828473812096, 0.1613637092012963, 0.15188071707722872, -0.07663179098166786, 0.19985788918980588, -0.14646558624322284, 0.16009534323868685, 0.09729362975754967, -0.027556901727484106, 0.21329907301736817, 0.07682401231770748, 0.11257882945698826, 0.19304948292309035, -0.10157757712056069, -0.06511980631988343, -0.33645321668623246, -0.19470564860289227, -0.20876393541183375, 0.11163104101333748, -0.15796423282423247, -0.2435353584587574, 0.3503281538923309, -0.0065395759724795, 0.23375463266282864, 0.15104430215592712, 0.27390810643156915, 0.13624621189856417, 0.09899606895058939, 0.10475603507015191, 0.13680164260815267, 0.10977031357509837, -0.003011648740925609, -0.1789016945874446, -0.016704270954256598, 0.14406938167059258] |
711.0171 | On the distribution of \alpha p modulo one for primes p of a special
form | A classical problem in analytic number theory is to study the distribution of
$\alpha p$ modulo 1, where $\alpha$ is irrational and $p$ runs over the set of
primes. We consider the subsequence generated by the primes $p$ such that $p+2$
is an almost-prime (the existence of infinitely many such $p$ is another
topical result in prime number theory) and prove that its distribution has a
similar property.
| math.NT | a classical problem in analytic number theory is to study the distribution of alpha p modulo 1 where alpha is irrational and p runs over the set of primes we consider the subsequence generated by the primes p such that p2 is an almostprime the existence of infinitely many such p is another topical result in prime number theory and prove that its distribution has a similar property | [['a', 'classical', 'problem', 'in', 'analytic', 'number', 'theory', 'is', 'to', 'study', 'the', 'distribution', 'of', 'alpha', 'p', 'modulo', '1', 'where', 'alpha', 'is', 'irrational', 'and', 'p', 'runs', 'over', 'the', 'set', 'of', 'primes', 'we', 'consider', 'the', 'subsequence', 'generated', 'by', 'the', 'primes', 'p', 'such', 'that', 'p2', 'is', 'an', 'almostprime', 'the', 'existence', 'of', 'infinitely', 'many', 'such', 'p', 'is', 'another', 'topical', 'result', 'in', 'prime', 'number', 'theory', 'and', 'prove', 'that', 'its', 'distribution', 'has', 'a', 'similar', 'property']] | [-0.22645891841281862, 0.1306746807790392, -0.13579324350747116, 0.06505863525329486, -0.011840360287083861, -0.13023793163901085, -0.01030639314215959, 0.2817777773803648, -0.3428822246873203, -0.26961362479350476, 0.013200347549761371, -0.33272815150592255, -0.1135795843506725, 0.19799335958326564, -0.06574398146339637, 0.07295653173573288, 0.004109752474024016, 0.14611470545915997, 0.02179185242857784, -0.28228710950968566, 0.31789352313396246, -0.07928474735030357, 0.17780003175892703, -0.00013207894859506805, 0.03274282495326856, 0.04441179806941792, 0.028575883801643026, -0.014818908646702766, -0.15075298974411186, 0.06482876750798074, 0.28455549227895544, 0.1527845438960118, 0.3476244752733585, -0.3517368327387992, -0.15472337915836012, 0.2241177949712009, 0.137781105004251, -0.009447220836163443, -0.03137094038881033, -0.15348311584196328, 0.2200802373323206, -0.15297925815342323, -0.187979904058225, -0.03651243234601091, 0.15087721392731457, 0.056387843807255304, -0.31021126869189386, 0.008147554663831698, 0.14663307979593382, 0.11331061221768751, -0.01715912834419321, -0.15347893197116824, 0.0432547137606889, 0.06172687406925594, 0.1335561666825978, 0.07816625588148941, 0.02239584967302268, -0.10544811906840872, -0.10736054792377057, 0.37162232256549244, -0.019133629606050605, -0.1809702380834257, 0.1129098614294301, -0.18803969311171814, -0.16730665941448772, 0.14556393224526853, 0.0793381061487119, 0.14764368768288372, 0.005045672810143407, 0.23002255759167703, -0.18359983294709203, 0.17639942432972877, 0.11629939173101722, -0.016771076603189987, 0.11205226410289898, 0.08151217171347097, 0.09379598463419825, 0.10529863179716117, -0.0505703657742261, -0.016870497390353942, -0.3393425246125416, -0.16283719433361993, -0.20695034614490235, 0.1273164027096594, -0.0953972452069352, -0.17713231115382821, 0.33971451447509665, 0.08378816590052071, 0.20755701240919092, 0.0825376516509363, 0.21614467840203466, 0.12510325932068073, -0.03324885352049023, 0.05085728510611636, 0.07421961825970999, 0.12472865955479552, -0.05207844788845464, -0.15185760723783032, 0.039855347725867483, 0.11958189023768201] |
711.0172 | Two magnetic regimes in doped ZnO corresponding to a dilute magnetic
semiconductor and a dilute magnetic insulator | Films of ZnO doped with magnetic ions, Mn and Co and, in some cases, with Al
have been fabricated with a very wide range of carrier densities. Ferromagnetic
behaviour is observed in both insulating and metallic films, but not when the
carrier density is intermediate. Insulating films exhibit variable range
hopping at low temperatures and are ferromagnetic at room temperature due to
the interaction of the localised spins with static localised states. The
magnetism is quenched when carriers in the localised states become mobile. In
the metallic (degenerate semiconductor) range, robust ferromagnetism reappears
together with very strong magneto-optic signals and room temperature anomalous
Hall data. This demonstrates the polarisation of the conduction bands and
indicates that, when ZnO is doped into the metallic regime, it behaves as a
genuine magnetic semiconductor.
| cond-mat.mtrl-sci cond-mat.str-el | films of zno doped with magnetic ions mn and co and in some cases with al have been fabricated with a very wide range of carrier densities ferromagnetic behaviour is observed in both insulating and metallic films but not when the carrier density is intermediate insulating films exhibit variable range hopping at low temperatures and are ferromagnetic at room temperature due to the interaction of the localised spins with static localised states the magnetism is quenched when carriers in the localised states become mobile in the metallic degenerate semiconductor range robust ferromagnetism reappears together with very strong magnetooptic signals and room temperature anomalous hall data this demonstrates the polarisation of the conduction bands and indicates that when zno is doped into the metallic regime it behaves as a genuine magnetic semiconductor | [['films', 'of', 'zno', 'doped', 'with', 'magnetic', 'ions', 'mn', 'and', 'co', 'and', 'in', 'some', 'cases', 'with', 'al', 'have', 'been', 'fabricated', 'with', 'a', 'very', 'wide', 'range', 'of', 'carrier', 'densities', 'ferromagnetic', 'behaviour', 'is', 'observed', 'in', 'both', 'insulating', 'and', 'metallic', 'films', 'but', 'not', 'when', 'the', 'carrier', 'density', 'is', 'intermediate', 'insulating', 'films', 'exhibit', 'variable', 'range', 'hopping', 'at', 'low', 'temperatures', 'and', 'are', 'ferromagnetic', 'at', 'room', 'temperature', 'due', 'to', 'the', 'interaction', 'of', 'the', 'localised', 'spins', 'with', 'static', 'localised', 'states', 'the', 'magnetism', 'is', 'quenched', 'when', 'carriers', 'in', 'the', 'localised', 'states', 'become', 'mobile', 'in', 'the', 'metallic', 'degenerate', 'semiconductor', 'range', 'robust', 'ferromagnetism', 'reappears', 'together', 'with', 'very', 'strong', 'magnetooptic', 'signals', 'and', 'room', 'temperature', 'anomalous', 'hall', 'data', 'this', 'demonstrates', 'the', 'polarisation', 'of', 'the', 'conduction', 'bands', 'and', 'indicates', 'that', 'when', 'zno', 'is', 'doped', 'into', 'the', 'metallic', 'regime', 'it', 'behaves', 'as', 'a', 'genuine', 'magnetic', 'semiconductor']] | [-0.13712663506157696, 0.28351938247925934, 0.007046455951080523, -0.009595029515512856, 0.025073759078282777, -0.23498339977698357, 0.06648040078011633, 0.4624447816456775, -0.21367080791547666, -0.29648386979944835, 0.0229277549531908, -0.3587468466401555, -0.05349951279740638, 0.17223671269922994, 0.043917943346705145, -0.02462457398621175, -0.05889222870459993, -0.11652246683361435, -0.1015065549250749, -0.19875144723888116, 0.24427608831753184, -0.00018609677021967546, 0.3367458617328915, 0.13407333825096374, 0.027621012835102227, -0.02732947953791848, 0.21463204702746322, 0.034238465968438915, -0.0790001725335761, -0.017431918313932954, 0.33364016860625745, -0.2134436988538373, 0.19523366951234356, -0.45116770412339224, -0.23560255168730976, -0.017174331151403998, 0.12970294097068769, 0.17278193773787098, -0.11694686953511572, -0.29423642242398423, 0.07383051688093266, -0.10597509309606812, -0.097452757929857, -0.07659035538348107, 0.012792649255880644, -0.011236781297066739, -0.2597905424110705, 0.11943350296879884, 0.06869664248647808, 0.0905929761903204, -0.1246332973934966, -0.13525198032112637, -0.13144878569265245, 0.042081387117922746, 0.07345668394216301, 0.03783234801651725, 0.20477484497917062, -0.11188764823778383, -0.045770292086811125, 0.32456311337536076, -0.05268377362473207, -0.031306125785273906, 0.23582309023086123, -0.26525314033514896, -0.04378720713096834, 0.21877386537202784, 0.09263571943263062, 0.10204849945459486, -0.12090257161022751, 0.1083764141624996, 0.009445840701681227, 0.20376627125869726, 0.035407934057035746, 0.16031019651608272, 0.29884534088880504, 0.22547226449837268, 0.037367317531407165, 0.12897330470639104, -0.14228107225867911, 0.005334016594605677, -0.12889268754169217, -0.16070830998124683, -0.2551062142277378, 0.06141376868790133, -0.08826035286681122, -0.23978492113555433, 0.36381148308416017, 0.13623562319389054, 0.15743583091001473, -0.07086339427463938, 0.222712911096693, 0.09943874596212884, 0.05238696663704424, 0.056346317690100435, 0.26691915811228795, 0.21041421483285042, 0.1915776409841505, -0.25670916643988995, 0.09848720214919734, -0.07767851833558023] |
711.0173 | Tube formulas for self-similar fractals | Tube formulas (by which we mean an explicit formula for the volume of an
$\epsilon$-neighbourhood of a subset of a suitable metric space) have been used
in many situations to study properties of the subset. For smooth submanifolds
of Euclidean space, this includes Weyl's celebrated results on spectral
asymptotics, and the subsequent relation between curvature and spectrum.
Additionally, a tube formula contains information about the dimension and
measurability of rough sets. In convex geometry, the tube formula of a convex
subset of Euclidean space allows for the definition of certain curvature
measures. These measures describe the curvature of sets which are not too
irregular to support derivatives. In this survey paper, we describe some recent
advances in the development of tube formulas for self-similar fractals, and
their applications and connections to the other topics mentioned here.
| math.DS math-ph math.MG math.MP | tube formulas by which we mean an explicit formula for the volume of an epsilonneighbourhood of a subset of a suitable metric space have been used in many situations to study properties of the subset for smooth submanifolds of euclidean space this includes weyls celebrated results on spectral asymptotics and the subsequent relation between curvature and spectrum additionally a tube formula contains information about the dimension and measurability of rough sets in convex geometry the tube formula of a convex subset of euclidean space allows for the definition of certain curvature measures these measures describe the curvature of sets which are not too irregular to support derivatives in this survey paper we describe some recent advances in the development of tube formulas for selfsimilar fractals and their applications and connections to the other topics mentioned here | [['tube', 'formulas', 'by', 'which', 'we', 'mean', 'an', 'explicit', 'formula', 'for', 'the', 'volume', 'of', 'an', 'epsilonneighbourhood', 'of', 'a', 'subset', 'of', 'a', 'suitable', 'metric', 'space', 'have', 'been', 'used', 'in', 'many', 'situations', 'to', 'study', 'properties', 'of', 'the', 'subset', 'for', 'smooth', 'submanifolds', 'of', 'euclidean', 'space', 'this', 'includes', 'weyls', 'celebrated', 'results', 'on', 'spectral', 'asymptotics', 'and', 'the', 'subsequent', 'relation', 'between', 'curvature', 'and', 'spectrum', 'additionally', 'a', 'tube', 'formula', 'contains', 'information', 'about', 'the', 'dimension', 'and', 'measurability', 'of', 'rough', 'sets', 'in', 'convex', 'geometry', 'the', 'tube', 'formula', 'of', 'a', 'convex', 'subset', 'of', 'euclidean', 'space', 'allows', 'for', 'the', 'definition', 'of', 'certain', 'curvature', 'measures', 'these', 'measures', 'describe', 'the', 'curvature', 'of', 'sets', 'which', 'are', 'not', 'too', 'irregular', 'to', 'support', 'derivatives', 'in', 'this', 'survey', 'paper', 'we', 'describe', 'some', 'recent', 'advances', 'in', 'the', 'development', 'of', 'tube', 'formulas', 'for', 'selfsimilar', 'fractals', 'and', 'their', 'applications', 'and', 'connections', 'to', 'the', 'other', 'topics', 'mentioned', 'here']] | [-0.1162333918735385, 0.06402558944925356, -0.09761392640432826, 0.1049991035885695, -0.10444122871763452, -0.06269896501606262, 0.01719783087761176, 0.3664623873791209, -0.23573446776717902, -0.23338357485416864, 0.1422592302404896, -0.2734507259241245, -0.1703190563005154, 0.24337253069712056, -0.14059127962833304, 0.06328543203158511, 0.03042742315576308, 0.05946211071891917, -0.0979722746117558, -0.23400847850436413, 0.37691333371180075, -0.015296687737659171, 0.25280187221899353, 0.10081205790494871, 0.10608896049498408, -0.0013035775369240178, -0.06152217701353409, 0.06040668244521065, -0.21798780669492704, 0.1905554596196722, 0.23051205280892276, 0.1528063184098789, 0.25319257640728243, -0.40826688562002444, -0.2192356716565512, 0.14236298534605238, 0.10679691276271586, 0.048353185268394924, 0.005429547489620745, -0.2760271198978579, 0.059213725118725385, -0.1158952965159659, -0.1808499676585025, -0.09734720124138727, 0.06639039738586655, 0.038008830825694735, -0.19988576868738703, 0.033464448309193054, 0.10218394827615056, 0.0674116426837389, -0.08752654159001799, -0.09014364144316427, 0.023064371981416587, 0.11747726900416806, 0.058780611230543366, 0.0292135805714039, 0.080438625384812, -0.10233720046515507, -0.09610210239404329, 0.33421573511635266, -0.031004775634587364, -0.26341379564255474, 0.15193701340920396, -0.16753895645271297, -0.13510889770739057, 0.11330965578176633, 0.1759854163767563, 0.13425218686806384, -0.1503419723516951, 0.13834249144894312, -0.05424966625179405, 0.07614751811380739, 0.1039736980503356, 0.06195479096085937, 0.15856631067064073, 0.09590809098272413, 0.09564410477178172, 0.15657996185365375, -0.06328197506394376, -0.09917021188884974, -0.378844661279409, -0.19810463902023104, -0.18094042772082267, 0.05634398264131354, -0.1335407418607415, -0.23952279335094823, 0.382763063069433, 0.07045041586237925, 0.2122685764864501, 0.08497327561490238, 0.24814639077004458, 0.059096648394889026, 0.05047540694854602, 0.060200026796923746, 0.15537837323047118, 0.18139055855054823, 0.08559234624176666, -0.12649523276249292, 0.00781992389044414, 0.13116779796503208] |
711.0174 | Vibrational Recognition of Adsorption Sites for Carbon Monoxide on
Platinum and Platinum-Ruthenium Surfaces | We have studied the vibrational properties of CO adsorbed on platinum and
platinum-ruthenium surfaces using density-functional perturbation theory within
the Perdew-Burke-Ernzerhof generalized-gradient approximation. The calculated
C-O stretching frequencies are found to be in excellent agreement with
spectroscopic measurements. The frequency shifts that take place when the
surface is covered with ruthenium monolayers are also correctly predicted. This
agreement for both shifts and absolute vibrational frequencies is made more
remarkable by the frequent failure of local and semilocal exchange-correlation
functionals in predicting the stability of the different adsorption sites for
CO on transition metal surfaces. We have investigated the chemical origin of
the C-O frequency shifts introducing an orbital-resolved analysis of the force
and frequency density of states, and assessed the effect of donation and
backdonation on the CO vibrational frequency using a GGA + molecular U
approach. These findings rationalize and establish the accuracy of
density-functional calculations in predicting absolute vibrational frequencies,
notwithstanding the failure in determining relative adsorption energies, in the
strong chemisorption regime.
| cond-mat.mtrl-sci cond-mat.other | we have studied the vibrational properties of co adsorbed on platinum and platinumruthenium surfaces using densityfunctional perturbation theory within the perdewburkeernzerhof generalizedgradient approximation the calculated co stretching frequencies are found to be in excellent agreement with spectroscopic measurements the frequency shifts that take place when the surface is covered with ruthenium monolayers are also correctly predicted this agreement for both shifts and absolute vibrational frequencies is made more remarkable by the frequent failure of local and semilocal exchangecorrelation functionals in predicting the stability of the different adsorption sites for co on transition metal surfaces we have investigated the chemical origin of the co frequency shifts introducing an orbitalresolved analysis of the force and frequency density of states and assessed the effect of donation and backdonation on the co vibrational frequency using a gga molecular u approach these findings rationalize and establish the accuracy of densityfunctional calculations in predicting absolute vibrational frequencies notwithstanding the failure in determining relative adsorption energies in the strong chemisorption regime | [['we', 'have', 'studied', 'the', 'vibrational', 'properties', 'of', 'co', 'adsorbed', 'on', 'platinum', 'and', 'platinumruthenium', 'surfaces', 'using', 'densityfunctional', 'perturbation', 'theory', 'within', 'the', 'perdewburkeernzerhof', 'generalizedgradient', 'approximation', 'the', 'calculated', 'co', 'stretching', 'frequencies', 'are', 'found', 'to', 'be', 'in', 'excellent', 'agreement', 'with', 'spectroscopic', 'measurements', 'the', 'frequency', 'shifts', 'that', 'take', 'place', 'when', 'the', 'surface', 'is', 'covered', 'with', 'ruthenium', 'monolayers', 'are', 'also', 'correctly', 'predicted', 'this', 'agreement', 'for', 'both', 'shifts', 'and', 'absolute', 'vibrational', 'frequencies', 'is', 'made', 'more', 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711.0175 | The insulin-RB synapse in health and disease: cellular rocket science | Time has come for a survey of our knowledge on the physical interaction
between the growth-promoting insulin molecule and retinoblastoma tumor
suppressor protein (RB). Theoretical and experimental observations over the
past 15 years reviewed here indicate that the insulin-RB dimer may represent an
essential molecular crossroads involved in major physiological and pathological
conditions. Within this system, the putative tumor suppressor insulin-degrading
enzyme (IDE) should be an important modulator. Perhaps most remarkably, the
abstraction of this encounter between insulin and RB, two growth-regulatory
giants acting either in concert or against each other depending on the
respective cellular requirements, reveals that Nature may compute in
controlling cell fate and we could follow in its footsteps towards developing
more efficient therapeutics as well as novel technical devices.
| q-bio.BM q-bio.SC | time has come for a survey of our knowledge on the physical interaction between the growthpromoting insulin molecule and retinoblastoma tumor suppressor protein rb theoretical and experimental observations over the past 15 years reviewed here indicate that the insulinrb dimer may represent an essential molecular crossroads involved in major physiological and pathological conditions within this system the putative tumor suppressor insulindegrading enzyme ide should be an important modulator perhaps most remarkably the abstraction of this encounter between insulin and rb two growthregulatory giants acting either in concert or against each other depending on the respective cellular requirements reveals that nature may compute in controlling cell fate and we could follow in its footsteps towards developing more efficient therapeutics as well as novel technical devices | [['time', 'has', 'come', 'for', 'a', 'survey', 'of', 'our', 'knowledge', 'on', 'the', 'physical', 'interaction', 'between', 'the', 'growthpromoting', 'insulin', 'molecule', 'and', 'retinoblastoma', 'tumor', 'suppressor', 'protein', 'rb', 'theoretical', 'and', 'experimental', 'observations', 'over', 'the', 'past', '15', 'years', 'reviewed', 'here', 'indicate', 'that', 'the', 'insulinrb', 'dimer', 'may', 'represent', 'an', 'essential', 'molecular', 'crossroads', 'involved', 'in', 'major', 'physiological', 'and', 'pathological', 'conditions', 'within', 'this', 'system', 'the', 'putative', 'tumor', 'suppressor', 'insulindegrading', 'enzyme', 'ide', 'should', 'be', 'an', 'important', 'modulator', 'perhaps', 'most', 'remarkably', 'the', 'abstraction', 'of', 'this', 'encounter', 'between', 'insulin', 'and', 'rb', 'two', 'growthregulatory', 'giants', 'acting', 'either', 'in', 'concert', 'or', 'against', 'each', 'other', 'depending', 'on', 'the', 'respective', 'cellular', 'requirements', 'reveals', 'that', 'nature', 'may', 'compute', 'in', 'controlling', 'cell', 'fate', 'and', 'we', 'could', 'follow', 'in', 'its', 'footsteps', 'towards', 'developing', 'more', 'efficient', 'therapeutics', 'as', 'well', 'as', 'novel', 'technical', 'devices']] | [-0.10141979705434499, 0.12838195029433366, -0.024094290767994818, 0.017816019379991856, -0.04452876380423359, -0.17719823488446532, 0.0719877609784608, 0.38344039884777587, -0.21184802421494617, -0.27956566124482723, 0.07628222007960936, -0.24004104141466565, -0.194038240702777, 0.2106944155539615, -0.09326636076463325, -0.029472133873286274, 0.05313421337823307, 0.01755474792358267, 0.049618256900490064, -0.18655956456758327, 0.2404582813595895, 0.0759259897749871, 0.24516728201110038, 0.07651745427407508, 0.0623891940111386, -0.05647684859119539, -0.011583614592501497, -0.07415400708827083, -0.10869331306791731, 0.12474840381717095, 0.31836361281781794, 0.16535033555090672, 0.31585361550516283, -0.5234208296923364, -0.22845228416482596, 0.0714115933896821, 0.21392778837461726, 0.10996325353740669, -0.060705326202938135, -0.25013203528274586, 0.03805569357231076, -0.13744508172767084, -0.10449790786443656, -0.05850550817940232, 0.0373978113869375, 0.031964881341812794, -0.20432975952757798, 0.0675354284524429, 0.021953227942175857, 0.09971090056551773, -0.12786193356954695, -0.167857143685382, -0.03897838340308823, 0.1935433120310276, 0.01996572903876544, 0.033317106382799194, 0.21222937388582247, -0.13780263725469713, -0.10831275217799989, 0.3675070855247437, -0.008253063924503742, -0.13191338873575212, 0.25513425432565456, -0.10790029575487171, -0.15616278012939652, 0.09292198835059115, 0.14932454010799956, 0.05134093649990735, -0.1675596071911029, -0.0396458543021209, 0.023634852807144405, 0.20319417558160047, 0.09385923331519436, 0.041989409018376625, 0.22799950123947785, 0.2442824203276732, 0.018797830736730248, 0.0929669980746961, -0.08815792704585054, -0.1182931721454761, -0.24072518631563994, -0.18213117427238432, -0.10947086688008953, 0.05244222153016351, -0.07546760591038514, -0.12695071521810578, 0.35619382206069067, 0.13025090743627277, 0.16951173102983166, -0.01702960189355568, 0.26053404869114766, 0.004158767771365151, 0.07315848859935449, -0.019681365937223565, 0.21025632253130438, 0.0816749273039559, 0.08834454607596377, -0.26711991522842865, 0.16072380628253594, -0.002398787661776191] |
711.0176 | Diagonal multi-matrix correlators and BPS operators in N=4 SYM | We present a complete basis of multi-trace multi-matrix operators that has a
diagonal two point function for the free matrix field theory at finite N. This
generalises to multiple matrices the single matrix diagonalisation by Schur
polynomials. Crucially, it involves intertwining the gauge group U(N) and the
global symmetry group U(M) with Clebsch-Gordan coefficients of symmetric groups
S_n. When applied to N=4 super Yang-Mills we consider the U(3) subgroup of the
full symmetry group. The diagonalisation allows the description of a dual basis
to multi-traces, which permits the characterisation of the metric on operators
transforming in short representations at weak coupling. This gives a framework
for the comparison of quarter and eighth-BPS giant gravitons of AdS_5 x S^5
spacetime to gauge invariant operators of the dual N=4 SYM.
| hep-th cond-mat.stat-mech math.RT | we present a complete basis of multitrace multimatrix operators that has a diagonal two point function for the free matrix field theory at finite n this generalises to multiple matrices the single matrix diagonalisation by schur polynomials crucially it involves intertwining the gauge group un and the global symmetry group um with clebschgordan coefficients of symmetric groups s_n when applied to n4 super yangmills we consider the u3 subgroup of the full symmetry group the diagonalisation allows the description of a dual basis to multitraces which permits the characterisation of the metric on operators transforming in short representations at weak coupling this gives a framework for the comparison of quarter and eighthbps giant gravitons of ads_5 x s5 spacetime to gauge invariant operators of the dual n4 sym | [['we', 'present', 'a', 'complete', 'basis', 'of', 'multitrace', 'multimatrix', 'operators', 'that', 'has', 'a', 'diagonal', 'two', 'point', 'function', 'for', 'the', 'free', 'matrix', 'field', 'theory', 'at', 'finite', 'n', 'this', 'generalises', 'to', 'multiple', 'matrices', 'the', 'single', 'matrix', 'diagonalisation', 'by', 'schur', 'polynomials', 'crucially', 'it', 'involves', 'intertwining', 'the', 'gauge', 'group', 'un', 'and', 'the', 'global', 'symmetry', 'group', 'um', 'with', 'clebschgordan', 'coefficients', 'of', 'symmetric', 'groups', 's_n', 'when', 'applied', 'to', 'n4', 'super', 'yangmills', 'we', 'consider', 'the', 'u3', 'subgroup', 'of', 'the', 'full', 'symmetry', 'group', 'the', 'diagonalisation', 'allows', 'the', 'description', 'of', 'a', 'dual', 'basis', 'to', 'multitraces', 'which', 'permits', 'the', 'characterisation', 'of', 'the', 'metric', 'on', 'operators', 'transforming', 'in', 'short', 'representations', 'at', 'weak', 'coupling', 'this', 'gives', 'a', 'framework', 'for', 'the', 'comparison', 'of', 'quarter', 'and', 'eighthbps', 'giant', 'gravitons', 'of', 'ads_5', 'x', 's5', 'spacetime', 'to', 'gauge', 'invariant', 'operators', 'of', 'the', 'dual', 'n4', 'sym']] | [-0.16014831199029844, 0.14962041946423668, -0.0888880718137241, 0.06120431340864992, -0.09988661861187587, -0.11064963413417221, 0.0008015196247484594, 0.3323942227067337, -0.2133988052318316, -0.19211953926816702, 0.09378180256213195, -0.26570508957829875, -0.14552330963557497, 0.06846765984248902, -0.02669096476442757, 0.026408115693595306, 0.006024098578130915, 0.08407484500720683, -0.18618970209666127, -0.2390601450728903, 0.3476640023401983, -0.009381163843153488, 0.28831094514489886, 0.00035095346596328514, 0.14340677552501715, 0.09844122887893934, -0.02666827354447118, -0.08051639436078924, -0.04595596334622805, 0.13811541868684193, 0.25804382738184245, 0.049369857875659826, 0.14895043099143854, -0.4316293230198974, -0.13364530324802867, 0.12463614393888588, 0.1637351254577793, 0.09083886424149756, -0.006237806557374637, -0.28507868866140523, 0.039196204263827805, -0.20110564261290526, -0.18166892039626542, -0.07445839261414394, 0.02591838564683077, -0.09825375116622401, -0.3087326175244969, 0.04190801897424362, 0.026777493634394238, 0.06356067067411329, -0.004791463261917381, -0.11210759029176737, -0.04798258342114942, 0.09489066440853224, 0.05088459251223073, 0.0508191804475491, 0.10236384948560347, -0.11869404111279264, -0.10680295132832336, 0.37782861936896567, -0.09290239475445733, -0.24084756885551745, 0.13087976679560684, -0.20675963391124877, -0.20897616407582684, 0.10181438906620892, 0.09601890204967709, 0.17201756194071283, -0.11694033300406613, 0.2543931866151517, -0.1166543537336919, 0.12146479961954774, 0.07118133878305791, 0.03591643628619966, 0.16128825607694805, 0.061242192456986574, 0.07825520286606329, 0.14747438493687365, 0.05110073055367961, -0.07730148553789135, -0.40109482889168985, -0.14597145241263898, -0.12159857019922504, 0.11669453335482449, -0.19055170555472456, -0.19493591504740632, 0.4277122246678032, 0.06051472521253994, 0.14873141750147278, 0.0969203876244599, 0.13730629722750376, 0.1224140998212591, 0.10821693166554536, 0.020248516586550053, 0.14840830866956994, 0.25879795186310295, 0.009652808877742954, -0.24775145609127652, -0.13713101174918904, 0.27999215600051225] |
711.0177 | Maximum Likelihood Method for Cross Correlations with Astrophysical
Sources | We generalize the Maximum Likelihood-type method used to study cross
correlations between a catalog of candidate astrophysical sources and Ultrahigh
Energy Cosmic Rays (UHECRs), to allow for differing source luminosities. The
new method is applicable to any sparse data set such as UHE gamma rays or
astrophysical neutrinos. Performance of the original and generalized techniques
is evaluated in simulations of various scenarios. Applying the new technique to
data, we find an excess correlation of about 9 events between HiRes UHECRs and
known BLLacs, with a 6*10^-5 probability of such a correlation arising by
chance.
| astro-ph | we generalize the maximum likelihoodtype method used to study cross correlations between a catalog of candidate astrophysical sources and ultrahigh energy cosmic rays uhecrs to allow for differing source luminosities the new method is applicable to any sparse data set such as uhe gamma rays or astrophysical neutrinos performance of the original and generalized techniques is evaluated in simulations of various scenarios applying the new technique to data we find an excess correlation of about 9 events between hires uhecrs and known bllacs with a 6105 probability of such a correlation arising by chance | [['we', 'generalize', 'the', 'maximum', 'likelihoodtype', 'method', 'used', 'to', 'study', 'cross', 'correlations', 'between', 'a', 'catalog', 'of', 'candidate', 'astrophysical', 'sources', 'and', 'ultrahigh', 'energy', 'cosmic', 'rays', 'uhecrs', 'to', 'allow', 'for', 'differing', 'source', 'luminosities', 'the', 'new', 'method', 'is', 'applicable', 'to', 'any', 'sparse', 'data', 'set', 'such', 'as', 'uhe', 'gamma', 'rays', 'or', 'astrophysical', 'neutrinos', 'performance', 'of', 'the', 'original', 'and', 'generalized', 'techniques', 'is', 'evaluated', 'in', 'simulations', 'of', 'various', 'scenarios', 'applying', 'the', 'new', 'technique', 'to', 'data', 'we', 'find', 'an', 'excess', 'correlation', 'of', 'about', '9', 'events', 'between', 'hires', 'uhecrs', 'and', 'known', 'bllacs', 'with', 'a', '6105', 'probability', 'of', 'such', 'a', 'correlation', 'arising', 'by', 'chance']] | [-0.05475203150467194, 0.12718915239492298, -0.05873494121701794, 0.19957170194755505, -0.09143898844164103, -0.06068258469508208, 0.052703771244813784, 0.39969741727443453, -0.2355103028884456, -0.4062806059051543, -0.007614658165851885, -0.35232869679346046, -0.03789773166546241, 0.2536935661993723, 0.006433041404655322, 0.06214507525548973, 0.07552212708074837, -0.024959660098055735, -0.04302418043222675, -0.213079756561746, 0.2948669151185041, 0.17121735622764545, 0.25861090193799835, 0.04965775417579781, 0.14084877263249315, -0.02527977492501761, -0.0982558716861333, -0.023755610732242784, -0.10880239385655745, 0.10255977937188793, 0.2521215861197561, 0.19576611071626873, 0.17009195729266874, -0.35050814902964744, -0.23380102133972847, 0.18771921483269755, 0.11644905035884337, 0.0467087065087671, -0.07759612853678459, -0.3030997134864013, 0.08035659304562401, -0.19019478549586333, -0.14379796688940297, -0.004923026939418087, -0.05223297482564491, 0.05498981117419502, -0.2871479114686, 0.09777367279488355, -0.01541750149880635, 0.018054474571204567, -0.06817464098492836, -0.12915505680126793, 0.04500277055689986, 0.09641204094588558, 0.09848888246144386, 0.014326048291664808, 0.11385801557372226, -0.10373540823050637, -0.16979720558044797, 0.3980462752639296, -0.056632991902470745, -0.12131931239545861, 0.19949769502148984, -0.13751924872655977, -0.182440697421082, 0.17659982258671933, 0.20020074072353383, 0.09454178400312926, -0.21733403657662106, 0.028309870469804974, 0.0171522223638331, 0.1497066912310634, 0.05511488409792172, 0.028316828382617617, 0.22314683402680416, 0.11571839824009271, 0.08536896638651477, 0.0798558026274785, -0.22842999790458285, 0.05195947861338549, -0.2799469987636412, -0.11683723919014348, -0.19292195604004442, 0.09988536483650294, -0.1129246928843365, -0.12095822048053997, 0.34175827877318604, 0.16551024132863956, 0.17520430356145222, 0.014804796100237426, 0.2716483764072999, 0.027779684444311066, 0.011912751588440981, 0.08750206693273752, 0.25242448776113263, 0.12437346985345667, 0.05670502224065205, -0.1487142287722313, 0.04568585977354582, 0.011952601125503474] |
711.0178 | Slip boundary conditions for shear flow of polymer melts past atomically
flat surfaces | Molecular dynamics simulations are carried out to investigate the dynamic
behavior of the slip length in thin polymer films confined between atomically
smooth thermal surfaces. For weak wall-fluid interactions, the shear rate
dependence of the slip length acquires a distinct local minimum followed by a
rapid growth at higher shear rates. With increasing fluid density, the position
of the local minimum is shifted to lower shear rates. We found that the ratio
of the shear viscosity to the slip length, which defines the friction
coefficient at the liquid/solid interface, undergoes a transition from a nearly
constant value to the power law decay as a function of the slip velocity. In a
wide range of shear rates and fluid densities, the friction coefficient is
determined by the product of the value of surface induced peak in the structure
factor and the contact density of the first fluid layer near the solid wall.
| cond-mat.soft cond-mat.mtrl-sci physics.flu-dyn | molecular dynamics simulations are carried out to investigate the dynamic behavior of the slip length in thin polymer films confined between atomically smooth thermal surfaces for weak wallfluid interactions the shear rate dependence of the slip length acquires a distinct local minimum followed by a rapid growth at higher shear rates with increasing fluid density the position of the local minimum is shifted to lower shear rates we found that the ratio of the shear viscosity to the slip length which defines the friction coefficient at the liquidsolid interface undergoes a transition from a nearly constant value to the power law decay as a function of the slip velocity in a wide range of shear rates and fluid densities the friction coefficient is determined by the product of the value of surface induced peak in the structure factor and the contact density of the first fluid layer near the solid wall | [['molecular', 'dynamics', 'simulations', 'are', 'carried', 'out', 'to', 'investigate', 'the', 'dynamic', 'behavior', 'of', 'the', 'slip', 'length', 'in', 'thin', 'polymer', 'films', 'confined', 'between', 'atomically', 'smooth', 'thermal', 'surfaces', 'for', 'weak', 'wallfluid', 'interactions', 'the', 'shear', 'rate', 'dependence', 'of', 'the', 'slip', 'length', 'acquires', 'a', 'distinct', 'local', 'minimum', 'followed', 'by', 'a', 'rapid', 'growth', 'at', 'higher', 'shear', 'rates', 'with', 'increasing', 'fluid', 'density', 'the', 'position', 'of', 'the', 'local', 'minimum', 'is', 'shifted', 'to', 'lower', 'shear', 'rates', 'we', 'found', 'that', 'the', 'ratio', 'of', 'the', 'shear', 'viscosity', 'to', 'the', 'slip', 'length', 'which', 'defines', 'the', 'friction', 'coefficient', 'at', 'the', 'liquidsolid', 'interface', 'undergoes', 'a', 'transition', 'from', 'a', 'nearly', 'constant', 'value', 'to', 'the', 'power', 'law', 'decay', 'as', 'a', 'function', 'of', 'the', 'slip', 'velocity', 'in', 'a', 'wide', 'range', 'of', 'shear', 'rates', 'and', 'fluid', 'densities', 'the', 'friction', 'coefficient', 'is', 'determined', 'by', 'the', 'product', 'of', 'the', 'value', 'of', 'surface', 'induced', 'peak', 'in', 'the', 'structure', 'factor', 'and', 'the', 'contact', 'density', 'of', 'the', 'first', 'fluid', 'layer', 'near', 'the', 'solid', 'wall']] | [-0.21122790705597658, 0.19898611231242916, -0.0934901177803739, -0.054703571295538385, -0.01026066273006777, -0.10111618084857697, 0.026703645734252126, 0.3209566706668166, -0.33959760732751415, -0.2647335274416386, 0.05653542811158946, -0.24417015505547554, -0.08376785797924297, 0.16512269766026774, 0.05432193029351187, 0.06655869544761268, -0.026440091075727236, 0.008459253174974429, -0.09966486053609147, -0.15464968133612925, 0.2806295601971793, 0.10040184748759926, 0.3338949124125258, 0.10468952654435343, 0.0876021637883506, -0.028328469842882436, 0.02779004535489771, 0.08787740981638037, -0.2799851078194021, 0.026514508622692317, 0.18394430575966342, -0.07389592713004114, 0.22649072142262383, -0.41613154181137385, -0.22974975152474686, 0.053031278340861396, 0.07831173029648053, 0.09128046476679996, -0.013157321069241557, -0.19777585098994835, 0.055757764588103984, -0.13640911147516493, -0.13688463268613454, 0.035001610857527087, 0.07751120055180709, 0.04142226964668587, -0.25876999674565376, 0.22674931686938993, 0.012557318730168784, 0.07085471818013894, -0.08867832869661367, -0.06434218837750076, -0.09879508104779763, 0.11646604225569904, 0.09755240736948635, 0.0448218134998202, 0.24682108806261163, -0.20462049041999603, 0.02274958929201181, 0.36271751223637766, -0.11533423385965262, -0.1458517953463204, 0.20115980571475103, -0.1797187718106372, -0.009893975125021295, 0.24172043238168225, 0.1798989103971333, 0.0970471102526255, -0.1078818167366291, 0.00881162243170528, 0.02637675221830557, 0.1873225011972291, 0.11881066471282763, -0.04849079598685024, 0.24433144834200968, 0.1756263981628793, 0.07140292008931669, 0.14698122647153028, -0.14147925866607403, -0.09208651145747462, -0.290153083588854, -0.16597752385277037, -0.19079153716875646, 0.04162786964678656, -0.1604918732077719, -0.20416874548155098, 0.33649716068009866, 0.04487842242757709, 0.23172433202737783, 0.08484501870339799, 0.25406804246926645, 0.12556191663248525, 0.07536652618371542, 0.0692748960311099, 0.29668900583537655, 0.17490909394379459, 0.11806325693562741, -0.2849495444841535, 0.12072775580470037, 0.08265201873238513] |
711.0179 | Noncommutative Tangent Cones and Calabi Yau Algebras | We study the generalization of the idea of a local quiver of a representation
of a formally smooth algebra, to broader classes of finitely generated
algebras. In this new setting we can construct for every semisimple
representation $M$ a local model and a non-commutative tangent cone. The
representation schemes of these new algebras model the local structure and the
tangent cone of the representation scheme of the original algebra at $M$. In
this way one can try to classify algebras according to their local behavior. As
an application we will show that the tangent cones of Calabi Yau 2 Algebras are
always preprojective algebras. For Calabi Yau 3 Algebras the corresponding
statement would be that the local model and the tangent cones derive from
superpotentials. Although we do not have a proof in all cases, we will show
that this will indeed hold in many cases.
| math.RA | we study the generalization of the idea of a local quiver of a representation of a formally smooth algebra to broader classes of finitely generated algebras in this new setting we can construct for every semisimple representation m a local model and a noncommutative tangent cone the representation schemes of these new algebras model the local structure and the tangent cone of the representation scheme of the original algebra at m in this way one can try to classify algebras according to their local behavior as an application we will show that the tangent cones of calabi yau 2 algebras are always preprojective algebras for calabi yau 3 algebras the corresponding statement would be that the local model and the tangent cones derive from superpotentials although we do not have a proof in all cases we will show that this will indeed hold in many cases | [['we', 'study', 'the', 'generalization', 'of', 'the', 'idea', 'of', 'a', 'local', 'quiver', 'of', 'a', 'representation', 'of', 'a', 'formally', 'smooth', 'algebra', 'to', 'broader', 'classes', 'of', 'finitely', 'generated', 'algebras', 'in', 'this', 'new', 'setting', 'we', 'can', 'construct', 'for', 'every', 'semisimple', 'representation', 'm', 'a', 'local', 'model', 'and', 'a', 'noncommutative', 'tangent', 'cone', 'the', 'representation', 'schemes', 'of', 'these', 'new', 'algebras', 'model', 'the', 'local', 'structure', 'and', 'the', 'tangent', 'cone', 'of', 'the', 'representation', 'scheme', 'of', 'the', 'original', 'algebra', 'at', 'm', 'in', 'this', 'way', 'one', 'can', 'try', 'to', 'classify', 'algebras', 'according', 'to', 'their', 'local', 'behavior', 'as', 'an', 'application', 'we', 'will', 'show', 'that', 'the', 'tangent', 'cones', 'of', 'calabi', 'yau', '2', 'algebras', 'are', 'always', 'preprojective', 'algebras', 'for', 'calabi', 'yau', '3', 'algebras', 'the', 'corresponding', 'statement', 'would', 'be', 'that', 'the', 'local', 'model', 'and', 'the', 'tangent', 'cones', 'derive', 'from', 'superpotentials', 'although', 'we', 'do', 'not', 'have', 'a', 'proof', 'in', 'all', 'cases', 'we', 'will', 'show', 'that', 'this', 'will', 'indeed', 'hold', 'in', 'many', 'cases']] | [-0.14209313499294732, 0.034322910508470236, -0.13397066765911367, 0.08972065798278056, -0.11510971618165607, -0.13657788911273014, -0.03662741820213117, 0.36843658797442913, -0.3674419682954553, -0.21686285619993936, 0.10253834708478965, -0.22687473278875425, -0.19962338703901392, 0.17084259282851796, -0.16548688545797582, -0.06178023447585611, 0.05126876911875626, 0.08406808266212067, -0.14676897032409653, -0.29924676037706077, 0.40883538655120216, -0.013457922638100509, 0.24257314843380798, 0.044737307029482844, 0.08914757397166159, 0.0036519404200913565, 0.006523985734643185, 0.026653589540180527, -0.1316156407350444, 0.1358202459045035, 0.2843338953656438, 0.10996372822978318, 0.23786477139379114, -0.38019989440532576, -0.14383887356683, 0.18468560781074714, 0.1674072919190185, 0.09486732692521525, -0.015857090239814953, -0.24099186558455024, 0.1160370214421251, -0.18321436779471498, -0.17858987961806458, -0.09632388288067488, 0.021002277425707202, -0.01257765867543241, -0.22917307459004543, 0.004408355189921105, 0.1178525687093298, 0.06488502891911656, -0.11684053872507831, -0.07407484317121849, -0.08693893477703406, 0.0849394005761571, -0.03496652131195321, 0.01286439576675822, 0.09713990374568734, -0.0948274994224361, -0.17804240263609394, 0.35999691203134515, -0.021607362097511962, -0.24594492579599816, 0.15892673041934646, -0.18293309040775854, -0.16374164158861115, 0.09025739213732416, 0.11859173613460097, 0.16669010566164777, -0.08148796102135723, 0.15558142682149917, -0.14397912482054878, 0.023569291693553943, 0.07604193054968873, -0.007101038735190866, 0.16599988351952386, 0.09125219434396083, 0.09167890851696864, 0.09206690841389514, 0.00822634508271944, -0.02024122873920794, -0.38124550586847, -0.2080937899100556, -0.10320248683892216, 0.13048952534862185, -0.09953116573290086, -0.13539953675692779, 0.4254937726065741, 0.13919045522247683, 0.20898122049561918, 0.1214962318294031, 0.21333032603413887, 0.05914201133817511, 0.10518171276206674, 0.07733503302036185, 0.18268059034295991, 0.18738959367667668, 0.04674416895292393, -0.09190126720334288, -0.046122126836227635, 0.20282540157794543] |
711.018 | Recalibration of Data in the VDFS Science Archives | The VDFS comprises the system to pipeline process and archive the data from
infrared observations taken by both the WFCAM instrument on UKIRT and the
forthcoming VISTA telescope. These include the largest near-IR surveys to date,
such as UKIDSS, which produce terabyte sized catalogues of over 10^9 rows. Such
large data volumes present a performance challenge when the catalogue data,
stored in a relational database, require many iterations of astrometric and
photometric recalibration. Here we present the VDFS recalibration solution that
will be employed in the WSA from the forthcoming UKIDSS Data Release 4 and VSA
from its inception.
| astro-ph | the vdfs comprises the system to pipeline process and archive the data from infrared observations taken by both the wfcam instrument on ukirt and the forthcoming vista telescope these include the largest nearir surveys to date such as ukidss which produce terabyte sized catalogues of over 109 rows such large data volumes present a performance challenge when the catalogue data stored in a relational database require many iterations of astrometric and photometric recalibration here we present the vdfs recalibration solution that will be employed in the wsa from the forthcoming ukidss data release 4 and vsa from its inception | [['the', 'vdfs', 'comprises', 'the', 'system', 'to', 'pipeline', 'process', 'and', 'archive', 'the', 'data', 'from', 'infrared', 'observations', 'taken', 'by', 'both', 'the', 'wfcam', 'instrument', 'on', 'ukirt', 'and', 'the', 'forthcoming', 'vista', 'telescope', 'these', 'include', 'the', 'largest', 'nearir', 'surveys', 'to', 'date', 'such', 'as', 'ukidss', 'which', 'produce', 'terabyte', 'sized', 'catalogues', 'of', 'over', '109', 'rows', 'such', 'large', 'data', 'volumes', 'present', 'a', 'performance', 'challenge', 'when', 'the', 'catalogue', 'data', 'stored', 'in', 'a', 'relational', 'database', 'require', 'many', 'iterations', 'of', 'astrometric', 'and', 'photometric', 'recalibration', 'here', 'we', 'present', 'the', 'vdfs', 'recalibration', 'solution', 'that', 'will', 'be', 'employed', 'in', 'the', 'wsa', 'from', 'the', 'forthcoming', 'ukidss', 'data', 'release', '4', 'and', 'vsa', 'from', 'its', 'inception']] | [-0.03329106123478274, 0.020061026919971813, -0.0943922052663196, 0.04354050736518996, -0.1300725855022631, -0.005904983065909509, 0.04594282661517612, 0.36959149936834973, -0.23685241466849064, -0.41033605488976743, 0.18918769796510612, -0.3785788694166136, -0.04139366042753211, 0.26251316187442325, -0.06913695308012945, 0.051282913140826766, 0.2082801986335203, -0.11756999761035497, 0.04065341346972443, -0.34594652604198817, 0.23405438769759254, 0.08734296658311529, 0.2387866006395074, -0.10527690995785624, 0.0929045737156588, -0.03483889119069308, -0.18712334142000686, -0.015456554244714553, -0.12707295189319107, 0.07967831439460919, 0.31679167721721563, 0.21452851545987556, 0.22821127049827178, -0.38026048116047273, -0.1124235111091173, 0.053448443047024986, 0.12728100195715222, 0.05946225571714229, -0.031802004952256505, -0.3407954155359267, 0.029160838207286415, -0.17835208453294454, -0.0971079023032816, -0.06608024897110282, 0.004014602128529187, 0.07511307401206306, -0.23168629194807375, 0.0494161289434579, -0.07491338949631711, 0.15519930156079506, -0.1456833154191216, -0.15108908118293243, -0.05187538977491321, 0.1562814171454808, -0.06632083527434551, 0.103226618338, 0.07853615432601384, -0.1565681238837465, -0.017325106039854953, 0.3835487208808913, -0.09497465445622426, -0.005962336555857099, 0.1398849698901294, -0.1574995517260348, -0.2122627240088251, 0.12107096236161512, 0.22873934708309895, 0.05170813892412968, -0.2570079608587842, 0.09767690642661593, 0.0101937342040015, 0.22860847067351292, 0.025898994859707813, 0.07638678352132139, 0.2510612743243462, 0.1331352012753316, 0.017405390033305556, 0.11121340921840095, -0.3228424870870029, 0.0027686623254358166, -0.27801693629031304, -0.06728458868805907, -0.21119898202067072, 0.05135972488135325, -0.10337752783894445, -0.12679982056483777, 0.30330474546762426, 0.22092772088474547, 0.17702833449966604, 0.06181758017787202, 0.3585507765111297, -0.06311583126815168, 0.2209422687077989, 0.07285618352129905, 0.26422382391180205, 0.017962394423331276, 0.19674385308447961, -0.10896726420873569, -0.008676555233471321, -0.014058023043543645] |
711.0181 | Einstein-Weyl from Kaluza-Klein | We discuss the Kaluza-Klein reduction of spaces with (anti-)self-dual Weyl
tensor and point out the emergence of the Einstein-Weyl equations for the
reduction from four to three dimensions. As a byproduct we get a simple
expression for the gravitational instanton density in terms of the Kaluza-Klein
functions.
| math-ph gr-qc hep-th math.MP | we discuss the kaluzaklein reduction of spaces with antiselfdual weyl tensor and point out the emergence of the einsteinweyl equations for the reduction from four to three dimensions as a byproduct we get a simple expression for the gravitational instanton density in terms of the kaluzaklein functions | [['we', 'discuss', 'the', 'kaluzaklein', 'reduction', 'of', 'spaces', 'with', 'antiselfdual', 'weyl', 'tensor', 'and', 'point', 'out', 'the', 'emergence', 'of', 'the', 'einsteinweyl', 'equations', 'for', 'the', 'reduction', 'from', 'four', 'to', 'three', 'dimensions', 'as', 'a', 'byproduct', 'we', 'get', 'a', 'simple', 'expression', 'for', 'the', 'gravitational', 'instanton', 'density', 'in', 'terms', 'of', 'the', 'kaluzaklein', 'functions']] | [-0.16008083399464476, 0.10923327192505623, -0.06848479493798569, 0.11115442933712869, -0.08037021668984536, -0.06106205841407497, 0.0029758296193594627, 0.23540690422375152, -0.17357122761375726, -0.2383881905611525, 0.08859267072662949, -0.2735031931760146, -0.22562097476676424, 0.13272110931575298, 0.013442395988138432, -0.00184779166382678, -0.011209998695932805, 0.060547945376961156, -0.15986419768330265, -0.27301640657985465, 0.43160819357379954, -0.005009696600919074, 0.2576877204899458, 0.05245831296680138, 0.16712881093646617, -0.01799470964977716, -0.04078071954798825, 0.031439945062107226, -0.1213071150903372, 0.12130997119907369, 0.24260613982109946, 0.08448843293367549, 0.16186798823640702, -0.39693810315208233, -0.20711476201231174, 0.06845706768650958, 0.1814749965325315, 0.18152637167417623, -0.01974744203084327, -0.2749768023161178, 0.06973608778393332, -0.2199651559621611, -0.17181005267466, -0.13777201886269005, 0.010200856857873659, -0.057446835562586784, -0.21355257971965252, 0.07419082565986096, 0.010409805586838976, 0.021983480516900408, -0.14686333750711478, -0.1416650450927146, -0.06352506706273144, 0.08399409331143537, 0.13622451768296354, -0.0016398197832576773, 0.08347915476336679, -0.14821196780440973, -0.16792484115254372, 0.38756590144352077, -0.13895680438330832, -0.29403181378036103, 0.15284565059923905, -0.12767080082855325, -0.15283155085598218, 0.13142169980292626, 0.14665092639823227, 0.12076708486184795, -0.08348872609674296, 0.14305629965507405, -0.026012042926208293, 0.0658501517851193, 0.14800534343862154, 0.054154561000301485, 0.21505898815837313, 0.11507979560484911, 0.08442405101030748, 0.20098872328216724, -0.08909539735697686, -0.09053989798400273, -0.4411876387101539, -0.21274198393555396, -0.10133981541235079, 0.16048886436731258, -0.19614830526908453, -0.2201770560697038, 0.3968719851146353, 0.046668813960190784, 0.18598580893570002, 0.07669994603604713, 0.21316213111214816, 0.12888419761897085, 0.07568842631348587, 0.031723344074364036, 0.24653197549521289, 0.1492834760351701, 0.09477706060328699, -0.2128166046954612, -0.17805322060520026, 0.19976599061207728] |
711.0182 | Generic features of the spectrum of trapped polarized fermions | We show that bimodal radio frequency spectra universally arise at
intermediate temperatures in models of strongly interacting trapped Fermi
gases. The bimodality is independent of superfluidity or pseudogap physics,
depending only on the functional form of the equation of state -- which is
constrained by dimensional analysis at low temperatures and the virial
expansion at high temperatures. In addition to these model independent results,
we present a simple calculation of the radio frequency line-shape of a highly
polarized Fermi gas which uses energetic considerations to include final state
interactions. While this model only qualitatively captures the line-shapes
observed in the experiments, it provides a conceptually clean and powerful
technique for estimating the energy scales and how they vary with experimental
parameters.
| cond-mat.other | we show that bimodal radio frequency spectra universally arise at intermediate temperatures in models of strongly interacting trapped fermi gases the bimodality is independent of superfluidity or pseudogap physics depending only on the functional form of the equation of state which is constrained by dimensional analysis at low temperatures and the virial expansion at high temperatures in addition to these model independent results we present a simple calculation of the radio frequency lineshape of a highly polarized fermi gas which uses energetic considerations to include final state interactions while this model only qualitatively captures the lineshapes observed in the experiments it provides a conceptually clean and powerful technique for estimating the energy scales and how they vary with experimental parameters | [['we', 'show', 'that', 'bimodal', 'radio', 'frequency', 'spectra', 'universally', 'arise', 'at', 'intermediate', 'temperatures', 'in', 'models', 'of', 'strongly', 'interacting', 'trapped', 'fermi', 'gases', 'the', 'bimodality', 'is', 'independent', 'of', 'superfluidity', 'or', 'pseudogap', 'physics', 'depending', 'only', 'on', 'the', 'functional', 'form', 'of', 'the', 'equation', 'of', 'state', 'which', 'is', 'constrained', 'by', 'dimensional', 'analysis', 'at', 'low', 'temperatures', 'and', 'the', 'virial', 'expansion', 'at', 'high', 'temperatures', 'in', 'addition', 'to', 'these', 'model', 'independent', 'results', 'we', 'present', 'a', 'simple', 'calculation', 'of', 'the', 'radio', 'frequency', 'lineshape', 'of', 'a', 'highly', 'polarized', 'fermi', 'gas', 'which', 'uses', 'energetic', 'considerations', 'to', 'include', 'final', 'state', 'interactions', 'while', 'this', 'model', 'only', 'qualitatively', 'captures', 'the', 'lineshapes', 'observed', 'in', 'the', 'experiments', 'it', 'provides', 'a', 'conceptually', 'clean', 'and', 'powerful', 'technique', 'for', 'estimating', 'the', 'energy', 'scales', 'and', 'how', 'they', 'vary', 'with', 'experimental', 'parameters']] | [-0.09640892400299587, 0.20217679391304652, -0.1071923542326355, 0.08218107386589206, -0.032569943253959836, -0.1737651872448623, 0.06427936521164762, 0.3674726163502783, -0.23529787873849273, -0.3035802540058891, 0.013517501586466096, -0.27934019626118245, -0.07608533129290057, 0.20794918303339122, 0.056360716030273275, -0.015614481829106807, 0.036325530694254364, -0.017267481497159072, -0.07465703265139988, -0.20530582494102417, 0.3131648186283807, 0.08951117818166192, 0.29659605332029365, 0.07948297237356504, 0.10015577464655508, -0.028846599501169596, 0.026050269248419983, 0.006093708511131505, -0.11580267082639087, 0.06623845973517746, 0.2698224437203862, 0.019707469041532023, 0.1862081974123915, -0.38734562816680407, -0.2378330423263833, 0.04154399570155268, 0.1429488713038154, 0.11923851625761017, -0.035440957409446125, -0.2426076269786184, -0.0058859086964124195, -0.16242906445016464, -0.16630715492065065, -0.10457937315610859, -0.01723907809549322, 0.010685039928163557, -0.24053830029442907, 0.17145106812240557, 0.04037461521026368, 0.04220617787602047, -0.0923393292274947, -0.1101833777114128, -0.014760135409111778, 0.053463341150199996, 0.009452651071114815, 0.014185356663074345, 0.15948136574588717, -0.14042850207655042, -0.050752683046933575, 0.37093962998672697, -0.0859838713814194, -0.1190688421872134, 0.2764376948277156, -0.21037210578797386, -0.158238927135244, 0.16094859861962807, 0.15941412583730805, 0.07744110108081562, -0.12437022138522782, 0.05163910217694744, -0.039196225946458677, 0.18877720520831645, 0.014102853025542572, 0.06632683839998207, 0.26024483451231695, 0.18168506622702504, 0.0014515693648718298, 0.08662124160715999, -0.10223699176761632, -0.0648899900338923, -0.2775942665990442, -0.06847285480083277, -0.2033024631110796, 0.0201482653200704, -0.05831390582861786, -0.1588620127295144, 0.41187277505911574, 0.15238168667759358, 0.23127554572808245, 0.010365625515502568, 0.309011643131574, 0.15564563566586004, 0.04767884622560814, 0.08980351645732298, 0.2455324691021815, 0.12232827278979433, 0.07907393468194641, -0.2438411792817836, 0.06053008156983803, 0.00012643447456260523] |
711.0183 | Engineering Space for Light via Transformation Optics | Conceptual studies and numerical simulations are performed for imaging
devices that transform a near-field pattern into magnified far-zone images and
are based on high-order spatial transformation in cylindrical domains. A lens
translating a near-field pattern from an almost circular input boundary onto a
magnified far-field image at a flat output boundary is considered. The lens is
made of a metamaterial with anisotropic permittivity and permeability both
depending on a single 'scaling' parameter of the transformation. Open designs
of the lens with a truncated body ('3/4-body' and '1/4-body' lenses) are
suggested and analyzed. It is shown that the ideal full-lens and the '3/4-body'
lens produce identical images. Numerical simulations of '1/4-body' designs
indicate that further truncation of the lens could limit its per-formance. A
light concentrator, "focusing" far-zone fields into a nanometer-scale area, is
also considered.
| physics.optics | conceptual studies and numerical simulations are performed for imaging devices that transform a nearfield pattern into magnified farzone images and are based on highorder spatial transformation in cylindrical domains a lens translating a nearfield pattern from an almost circular input boundary onto a magnified farfield image at a flat output boundary is considered the lens is made of a metamaterial with anisotropic permittivity and permeability both depending on a single scaling parameter of the transformation open designs of the lens with a truncated body 34body and 14body lenses are suggested and analyzed it is shown that the ideal fulllens and the 34body lens produce identical images numerical simulations of 14body designs indicate that further truncation of the lens could limit its performance a light concentrator focusing farzone fields into a nanometerscale area is also considered | [['conceptual', 'studies', 'and', 'numerical', 'simulations', 'are', 'performed', 'for', 'imaging', 'devices', 'that', 'transform', 'a', 'nearfield', 'pattern', 'into', 'magnified', 'farzone', 'images', 'and', 'are', 'based', 'on', 'highorder', 'spatial', 'transformation', 'in', 'cylindrical', 'domains', 'a', 'lens', 'translating', 'a', 'nearfield', 'pattern', 'from', 'an', 'almost', 'circular', 'input', 'boundary', 'onto', 'a', 'magnified', 'farfield', 'image', 'at', 'a', 'flat', 'output', 'boundary', 'is', 'considered', 'the', 'lens', 'is', 'made', 'of', 'a', 'metamaterial', 'with', 'anisotropic', 'permittivity', 'and', 'permeability', 'both', 'depending', 'on', 'a', 'single', 'scaling', 'parameter', 'of', 'the', 'transformation', 'open', 'designs', 'of', 'the', 'lens', 'with', 'a', 'truncated', 'body', '34body', 'and', '14body', 'lenses', 'are', 'suggested', 'and', 'analyzed', 'it', 'is', 'shown', 'that', 'the', 'ideal', 'fulllens', 'and', 'the', '34body', 'lens', 'produce', 'identical', 'images', 'numerical', 'simulations', 'of', '14body', 'designs', 'indicate', 'that', 'further', 'truncation', 'of', 'the', 'lens', 'could', 'limit', 'its', 'performance', 'a', 'light', 'concentrator', 'focusing', 'farzone', 'fields', 'into', 'a', 'nanometerscale', 'area', 'is', 'also', 'considered']] | [-0.13738348213585347, 0.06901340585682192, -0.10943484143001225, 0.007709518748787091, -0.09926252105894189, -0.1356453764583972, -0.039950293143082294, 0.4558259306306189, -0.20642792083548778, -0.26229031141547515, 0.11556195357909681, -0.2807627748556887, -0.1651194893656242, 0.25349393943818566, -0.035603025550671824, 0.08711188745325092, 0.07446749142113593, -0.04195555913346735, -0.06235120420972111, -0.18365116414938573, 0.2975691330307613, 0.04805375186190235, 0.29819908088503516, -0.004368604917544872, 0.1269784139131485, -0.007334498748550135, -0.04434100139857919, 0.09581074649538619, -0.09669500768662449, 0.09109902829919575, 0.20030070841929762, 0.05124879792018681, 0.20322447493107934, -0.3928230926359185, -0.2307915640853797, 0.006216932845718199, 0.15647539159699314, 0.06757285126668373, -0.1252726063601475, -0.3048390759522039, 0.0695874630649941, -0.07409287821219275, -0.1299060585847518, -0.01195792915523546, -0.009131514730115392, 0.038557025688615715, -0.29281740443195414, 0.02402158398845958, 0.05936317329707725, 0.04451755862100981, -0.06893991172778029, -0.07467333092636456, -0.014801778043902508, 0.10053499485895206, -0.016284008122359712, 0.019487761850045485, 0.15221679308028382, -0.15098032808975514, -0.049792942580428316, 0.40492435646328057, -0.006188684817805717, -0.25241911447973864, 0.15667138866741548, -0.15775032003875822, -0.005882556634870442, 0.17411011631889833, 0.1867653643756498, 0.09220752020712208, -0.130424953221033, 0.056685745775184565, -0.049943945820401, 0.2469372067796278, 0.14163958870763468, -0.010481786353259602, 0.26751082195992104, 0.19046638601205565, 0.03294996337640579, 0.16951326411711334, -0.13101177484261853, -0.03259065171975332, -0.26500150696797803, -0.13122194649291818, -0.20387640958087463, 0.041320401783609254, -0.13450032259998174, -0.20063864685675292, 0.34503320145956945, 0.08981455663557757, 0.1611665973623255, -0.004023647715450462, 0.34953673282694636, 0.0720138014082543, 0.11856058291265402, 0.013544669720541799, 0.2886340640428843, 0.14068477544721894, 0.0728988956208482, -0.18815426086604764, -0.04696497096764771, 0.013553350620592633] |
711.0184 | An algebraic index theorem for Poisson manifolds | The formality theorem for Hochschild chains of the algebra of functions on a
smooth manifold gives us a version of the trace density map from the zeroth
Hochschild homology of a deformation quantization algebra to the zeroth Poisson
homology. We propose a version of the algebraic index theorem for a Poisson
manifold which is based on this trace density map.
| math.QA hep-th math.KT | the formality theorem for hochschild chains of the algebra of functions on a smooth manifold gives us a version of the trace density map from the zeroth hochschild homology of a deformation quantization algebra to the zeroth poisson homology we propose a version of the algebraic index theorem for a poisson manifold which is based on this trace density map | [['the', 'formality', 'theorem', 'for', 'hochschild', 'chains', 'of', 'the', 'algebra', 'of', 'functions', 'on', 'a', 'smooth', 'manifold', 'gives', 'us', 'a', 'version', 'of', 'the', 'trace', 'density', 'map', 'from', 'the', 'zeroth', 'hochschild', 'homology', 'of', 'a', 'deformation', 'quantization', 'algebra', 'to', 'the', 'zeroth', 'poisson', 'homology', 'we', 'propose', 'a', 'version', 'of', 'the', 'algebraic', 'index', 'theorem', 'for', 'a', 'poisson', 'manifold', 'which', 'is', 'based', 'on', 'this', 'trace', 'density', 'map']] | [-0.20131459751476843, -0.044830923713743684, -0.20503336774806183, 0.08734348214541872, -0.10150609957054257, -0.1046555437380448, -0.0027855860690275827, 0.2685458600521088, -0.37735342032586533, -0.2000862450028459, 0.10254861031814168, -0.178265726317962, -0.18993445318192242, 0.1353165461992224, -0.18030325318686663, -0.06110287023087343, 0.0519231138130029, 0.12017301653201382, -0.14801269903158148, -0.17036520785962542, 0.468836040298144, 0.05064960513263941, 0.24779009390622378, 0.04805048134488364, 0.16719096121378244, 0.020728103436219194, -0.011018850988087555, -0.05794122805818915, -0.16244592433795332, 0.168306518982475, 0.24701028025398652, -0.017739531816914678, 0.18127667428925634, -0.351344270290186, -0.11035858610024055, 0.12962381962376338, 0.049442702593902745, 0.05570081195134359, 0.0006395509893385073, -0.29203008686502774, 0.11018362732914587, -0.23210892534504335, -0.12094505184019605, -0.08347435388714075, 0.014569146721623839, -0.0162085458325843, -0.251780337591966, 0.05587189090438187, 0.08778582535063227, 0.09715451677329838, -0.11906849333706002, -0.031125602155225352, -0.0693913325900212, 0.07800893965177239, -0.058721829023367415, 0.0753671798389405, 0.1896394461238136, -0.04985823429112012, -0.1431095408120503, 0.35560303123978276, -0.08463694831977288, -0.2738453823607415, 0.05847887875279412, -0.15455537936650215, -0.28344591190883267, 0.1537083899602294, 0.034050286871691544, 0.13990964805707334, -0.012944233235126982, 0.21299301974164944, -0.07208004797575995, 0.11349701825529337, 0.06393178796085218, -0.05986179085448384, 0.15629483523468177, 0.0808616787660867, 0.16646835401964685, 0.17046116945954662, -0.06284106661720822, -0.1068792552066346, -0.3155635013555487, -0.2704783502578115, -0.1612211588692541, 0.20721499536496898, -0.1633508125785738, -0.25987419423957664, 0.44804254472255706, 0.07594225507540008, 0.19230773293723663, 0.1976946412139417, 0.2887772273272276, 0.14061565197383363, 0.07721384357040127, 0.0017461475217714906, 0.052750320297976334, 0.32545427954755723, 0.06426624461698036, -0.08839266097638757, -0.04380764698144048, 0.3165330690719808] |
711.0185 | The true complexity of a system of linear equations | It is well-known that if a subset A of a finite Abelian group G satisfies a
quasirandomness property called uniformity of degree k, then it contains
roughly the expected number of arithmetic progressions of length k, that is,
the number of progressions one would expect in a random subset of G of the same
density as A. One is naturally led to ask which degree of uniformity is
required of A in order to control the number of solutions to a general system
of linear equations. Using so-called "quadratic Fourier analysis", we show that
certain linear systems that were previously thought to require quadratic
uniformity are in fact governed by linear uniformity. More generally, we
conjecture a necessary and sufficient condition on a linear system L which
guarantees that any subset A of F_p^n which is uniform of degree k contains the
expected number of solutions to L.
| math.NT math.CO | it is wellknown that if a subset a of a finite abelian group g satisfies a quasirandomness property called uniformity of degree k then it contains roughly the expected number of arithmetic progressions of length k that is the number of progressions one would expect in a random subset of g of the same density as a one is naturally led to ask which degree of uniformity is required of a in order to control the number of solutions to a general system of linear equations using socalled quadratic fourier analysis we show that certain linear systems that were previously thought to require quadratic uniformity are in fact governed by linear uniformity more generally we conjecture a necessary and sufficient condition on a linear system l which guarantees that any subset a of f_pn which is uniform of degree k contains the expected number of solutions to l | [['it', 'is', 'wellknown', 'that', 'if', 'a', 'subset', 'a', 'of', 'a', 'finite', 'abelian', 'group', 'g', 'satisfies', 'a', 'quasirandomness', 'property', 'called', 'uniformity', 'of', 'degree', 'k', 'then', 'it', 'contains', 'roughly', 'the', 'expected', 'number', 'of', 'arithmetic', 'progressions', 'of', 'length', 'k', 'that', 'is', 'the', 'number', 'of', 'progressions', 'one', 'would', 'expect', 'in', 'a', 'random', 'subset', 'of', 'g', 'of', 'the', 'same', 'density', 'as', 'a', 'one', 'is', 'naturally', 'led', 'to', 'ask', 'which', 'degree', 'of', 'uniformity', 'is', 'required', 'of', 'a', 'in', 'order', 'to', 'control', 'the', 'number', 'of', 'solutions', 'to', 'a', 'general', 'system', 'of', 'linear', 'equations', 'using', 'socalled', 'quadratic', 'fourier', 'analysis', 'we', 'show', 'that', 'certain', 'linear', 'systems', 'that', 'were', 'previously', 'thought', 'to', 'require', 'quadratic', 'uniformity', 'are', 'in', 'fact', 'governed', 'by', 'linear', 'uniformity', 'more', 'generally', 'we', 'conjecture', 'a', 'necessary', 'and', 'sufficient', 'condition', 'on', 'a', 'linear', 'system', 'l', 'which', 'guarantees', 'that', 'any', 'subset', 'a', 'of', 'f_pn', 'which', 'is', 'uniform', 'of', 'degree', 'k', 'contains', 'the', 'expected', 'number', 'of', 'solutions', 'to', 'l']] | [-0.21666570936213247, 0.12522622220126936, -0.12061295720018647, 0.037962920498889496, -0.1029753353241422, -0.13170844095922704, 0.031716807205796345, 0.2972629693638835, -0.28254703098178113, -0.2791559043343531, 0.09060809100078218, -0.2436567539415272, -0.13400142142829183, 0.20773436497846567, -0.0898039928838812, 0.055345344893646904, 0.011786853177221241, 0.12704894089177754, -0.02389931057208545, -0.3168760198262847, 0.2948881932628668, -0.01907482388983103, 0.21630464295378407, 0.002836810833950703, 0.11824229296384933, -0.0007702135260695139, 0.023327305697445833, 0.09540696336016236, -0.11104878924777802, 0.10952007861782771, 0.2516628157621174, 0.1426280863941773, 0.32716145801886515, -0.3665584563277662, -0.18052567905161176, 0.1678613367792521, 0.09315800105183814, 0.04799280316974792, -0.007788668952688002, -0.15499916277523781, 0.18543403865171698, -0.10501138008830084, -0.16997755696757924, -0.03407002843576609, 0.07029516507267349, 0.0434286765301147, -0.3160561065069979, 0.018224223551491427, 0.1367998236752543, 0.06851016059580788, 0.010181387930454032, -0.10554314096461402, -0.02734690815260684, 0.043170980552236574, 0.007197764025673874, 0.053326041561966714, 0.04690748213466282, -0.11108609433938761, -0.06538195926397158, 0.39551056940360246, -0.07922770044171705, -0.20156988163000425, 0.1703043665101349, -0.17230102122522187, -0.13375806727295592, 0.15280868052158858, 0.12861556365670687, 0.129535226447105, -0.09645680038610825, 0.13303521762537532, -0.14671262090387, 0.23286919932611086, 0.09267434759405316, 0.06312530978804617, 0.13516161442935667, 0.09895167877973132, 0.1505381580492532, 0.13876751273857882, -0.0037921550856727, -0.012746448722995213, -0.351046391670762, -0.15019737717670364, -0.18700269688977986, 0.12433643367163509, -0.08650822783621717, -0.19961690667362228, 0.37546122228928114, 0.09191104415426585, 0.18895460256199176, 0.07587487055885454, 0.2181491759240728, 0.11091060798365082, 0.09418693875793267, 0.06652636761537979, 0.12241348831889194, 0.17908503832625905, -0.02422399031363327, -0.17737125022953526, 0.06124446874585103, 0.10928746865829453] |
711.0186 | Population-Based Reversible Jump Markov Chain Monte Carlo | In this paper we present an extension of population-based Markov chain Monte
Carlo (MCMC) to the trans-dimensional case. One of the main challenges in
MCMC-based inference is that of simulating from high and trans-dimensional
target measures. In such cases, MCMC methods may not adequately traverse the
support of the target; the simulation results will be unreliable. We develop
population methods to deal with such problems, and give a result proving the
uniform ergodicity of these population algorithms, under mild assumptions. This
result is used to demonstrate the superiority, in terms of convergence rate, of
a population transition kernel over a reversible jump sampler for a Bayesian
variable selection problem. We also give an example of a population algorithm
for a Bayesian multivariate mixture model with an unknown number of components.
This is applied to gene expression data of 1000 data points in six dimensions
and it is demonstrated that our algorithm out performs some competing Markov
chain samplers.
| stat.CO | in this paper we present an extension of populationbased markov chain monte carlo mcmc to the transdimensional case one of the main challenges in mcmcbased inference is that of simulating from high and transdimensional target measures in such cases mcmc methods may not adequately traverse the support of the target the simulation results will be unreliable we develop population methods to deal with such problems and give a result proving the uniform ergodicity of these population algorithms under mild assumptions this result is used to demonstrate the superiority in terms of convergence rate of a population transition kernel over a reversible jump sampler for a bayesian variable selection problem we also give an example of a population algorithm for a bayesian multivariate mixture model with an unknown number of components this is applied to gene expression data of 1000 data points in six dimensions and it is demonstrated that our algorithm out performs some competing markov chain samplers | [['in', 'this', 'paper', 'we', 'present', 'an', 'extension', 'of', 'populationbased', 'markov', 'chain', 'monte', 'carlo', 'mcmc', 'to', 'the', 'transdimensional', 'case', 'one', 'of', 'the', 'main', 'challenges', 'in', 'mcmcbased', 'inference', 'is', 'that', 'of', 'simulating', 'from', 'high', 'and', 'transdimensional', 'target', 'measures', 'in', 'such', 'cases', 'mcmc', 'methods', 'may', 'not', 'adequately', 'traverse', 'the', 'support', 'of', 'the', 'target', 'the', 'simulation', 'results', 'will', 'be', 'unreliable', 'we', 'develop', 'population', 'methods', 'to', 'deal', 'with', 'such', 'problems', 'and', 'give', 'a', 'result', 'proving', 'the', 'uniform', 'ergodicity', 'of', 'these', 'population', 'algorithms', 'under', 'mild', 'assumptions', 'this', 'result', 'is', 'used', 'to', 'demonstrate', 'the', 'superiority', 'in', 'terms', 'of', 'convergence', 'rate', 'of', 'a', 'population', 'transition', 'kernel', 'over', 'a', 'reversible', 'jump', 'sampler', 'for', 'a', 'bayesian', 'variable', 'selection', 'problem', 'we', 'also', 'give', 'an', 'example', 'of', 'a', 'population', 'algorithm', 'for', 'a', 'bayesian', 'multivariate', 'mixture', 'model', 'with', 'an', 'unknown', 'number', 'of', 'components', 'this', 'is', 'applied', 'to', 'gene', 'expression', 'data', 'of', '1000', 'data', 'points', 'in', 'six', 'dimensions', 'and', 'it', 'is', 'demonstrated', 'that', 'our', 'algorithm', 'out', 'performs', 'some', 'competing', 'markov', 'chain', 'samplers']] | [-0.0568007094243282, 0.04902137919943234, -0.1021314620606224, 0.1112712617422737, -0.057127991669127555, -0.13811023643570422, 0.07709146462324888, 0.43094591619564765, -0.2861826741225027, -0.2992669134876946, 0.124107674291045, -0.22226167279236678, -0.11832341464542889, 0.22421863020097105, -0.0837379257869612, 0.06801463708375828, 0.12269859368871615, -0.007943014157464422, -0.027814802613486594, -0.2833181714308979, 0.2588922687352317, 0.07042382656201673, 0.271202179343923, -0.0314355981466213, 0.1425691179789697, -0.007087325641908978, -0.01575959978412978, -0.012998871063833184, -0.13579602321932943, 0.10185619854424267, 0.29188377136081645, 0.19365759373088426, 0.32314063026275064, -0.3700463973071214, -0.22147867873994798, 0.16712545844154503, 0.17016330287685688, 0.15343867348436313, -0.05031129645325149, -0.2569087653677274, 0.05378430257138761, -0.1773113147740597, -0.12284235763245652, -0.10552138090723112, -0.06378947796382575, 0.04109579717881883, -0.3352066655436979, 0.06375623069231287, 0.08622440002870428, 0.076379588065386, -0.012409108440403509, -0.13120874853309575, 0.050572529332004956, 0.07004740863708378, 0.07962676674522506, 0.01312891268053481, 0.09695117648461056, -0.07974147267162186, -0.173466426874452, 0.3025297910642598, -0.06205116170222718, -0.24480320766562289, 0.2086195468127468, -0.08064946078377057, -0.2153544023285231, 0.143872500199801, 0.17520712005251524, 0.15080734271898016, -0.1823657444454258, 0.08188739986802876, -0.03132104456625125, 0.14674752086542453, -0.03964311938108051, -0.05830674805336549, 0.12330703411098051, 0.21303973413997954, 0.09635615286956463, 0.1835869589969339, -0.12396349349571982, -0.1525714881128714, -0.2688399281373389, -0.16775774635091611, -0.20056451928412802, 0.018522091578383477, -0.13130989646263896, -0.21762950444605814, 0.37138925432640163, 0.2384237997794692, 0.18724968386637164, 0.10970214700261485, 0.2789377368355901, 0.09642763562939613, 0.0001140764201224982, 0.08983516038536932, 0.12127089376735967, 0.12822104368618206, 0.041872980048779776, -0.17108139392029778, 0.12655080574759153, 0.027205413172045088] |
711.0187 | Ground state heavy baryon production in a relativistic quark-diquark
model | We use current-current interaction to calculate the fragmentation functions
to describe the production of spin-1/2, spin-1/2$'$ and spin-3/2 baryons with
massive constituents in a relativistic quark-diquark model. Our results are in
their analytic forms and are applicable for singly, doubly and triply heavy
baryons. We discuss the production of $\Omega_{bbc}$, $\Omega_{bcc}$ and
$\Omega_{ccc}$ baryons in some detail. The results are satisfactorily compared
with those obtained for triply heavy baryons calculated in a perturbative
regime within reasonable values of the parameters involved.
| hep-ph | we use currentcurrent interaction to calculate the fragmentation functions to describe the production of spin12 spin12 and spin32 baryons with massive constituents in a relativistic quarkdiquark model our results are in their analytic forms and are applicable for singly doubly and triply heavy baryons we discuss the production of omega_bbc omega_bcc and omega_ccc baryons in some detail the results are satisfactorily compared with those obtained for triply heavy baryons calculated in a perturbative regime within reasonable values of the parameters involved | [['we', 'use', 'currentcurrent', 'interaction', 'to', 'calculate', 'the', 'fragmentation', 'functions', 'to', 'describe', 'the', 'production', 'of', 'spin12', 'spin12', 'and', 'spin32', 'baryons', 'with', 'massive', 'constituents', 'in', 'a', 'relativistic', 'quarkdiquark', 'model', 'our', 'results', 'are', 'in', 'their', 'analytic', 'forms', 'and', 'are', 'applicable', 'for', 'singly', 'doubly', 'and', 'triply', 'heavy', 'baryons', 'we', 'discuss', 'the', 'production', 'of', 'omega_bbc', 'omega_bcc', 'and', 'omega_ccc', 'baryons', 'in', 'some', 'detail', 'the', 'results', 'are', 'satisfactorily', 'compared', 'with', 'those', 'obtained', 'for', 'triply', 'heavy', 'baryons', 'calculated', 'in', 'a', 'perturbative', 'regime', 'within', 'reasonable', 'values', 'of', 'the', 'parameters', 'involved']] | [-0.0926376441316797, 0.2272744360674597, -0.018583575240041637, 0.17203016780151786, 0.0006120465460080134, -0.11400036104141345, 0.010167268918284888, 0.3451366851790042, -0.1489307754967786, -0.24327851470583414, -0.03880619066119005, -0.37793113754567087, 0.008026034653752664, 0.11732408166509357, 0.12003767518385584, 0.06264329178106258, 0.06561370166843827, 0.04900564818312945, -0.05615368525532982, -0.2332725733329978, 0.34029915892295065, 0.015081345598814608, 0.15971085059020337, 0.11643549166266111, -0.01811386753887504, 0.009459377811702935, -0.016447598737947454, -0.04452388851514345, -0.12694396581972325, 0.12841470592619875, 0.18203925274834154, 0.015090372207091201, 0.1028831624838559, -0.42313289571600626, -0.1497607955449744, 0.07696635389252554, 0.1966944568837651, 0.2040120011808563, -0.10376035496946188, -0.2797693298021449, 0.08155898417381546, -0.23895411175687478, -0.21052158265551435, -0.16937325977354864, -0.027702142949410584, 0.05673611436416454, -0.28288300969060276, 0.13209463302281838, -0.08372359142839154, -0.02234664074840802, -0.08841491195290715, -0.21408905688956192, -0.05967691782390392, 0.04590303503283406, 0.0660244072831672, -0.006750523884886805, 0.10969467817723186, -0.1668970027077896, -0.13706192955421873, 0.4592729183385455, -0.09143327122341983, -0.2374297743180584, 0.15075394607891765, -0.19925563686374057, -0.19298385309432692, 0.08654686282801477, 0.20620424402406132, 0.13370515222814452, -0.18852798714998026, 0.08180948011164518, -0.060687971419265754, 0.10467976691861507, 0.03805330136932338, 0.08606560411568306, 0.21988602824320522, 0.14097462141226175, -0.17240353343018058, 0.13308793482594664, -0.014241897618940359, -0.16972418393515334, -0.33250859396272825, -0.1310532583849198, -0.08574160950883186, -0.016280017127106083, -0.05849493642652973, -0.11626502196893945, 0.393286352717801, 0.07906428932011882, 0.2631448367728463, 0.04510447555044784, 0.29544160647105566, 0.09524617395570054, 0.04029366145606, 0.1180650263529601, 0.2909965430334051, 0.22537530946863604, 0.0652865931167727, -0.2472881059180002, -0.0048163964978973324, 0.04658266986849942] |
711.0188 | LISA sources and science | LISA is a planned space-based gravitational-wave (GW) detector that would be
sensitive to waves from low-frequency sources, in the band of roughly (0.03 -
0.1) mHz < f < 0.1 Hz. This is expected to be an extremely rich chunk of the GW
spectrum -- observing these waves will provide a unique view of dynamical
processes in astrophysics. Here we give a quick survey of some key LISA sources
and what GWs can uniquely teach us about these sources. Particularly noteworthy
science which is highlighted here is the potential for LISA to track the
moderate to high redshift evolution of black hole masses and spins through the
measurement of GWs generated from massive black hole binaries (which in turn
form by the merger of galaxies and protogalaxies). Measurement of these binary
black hole waves has the potential to determine the masses and spins of the
constituent black holes with percent-level accuracy or better, providing a
unique high-precision probe of an aspect of early structure growth. This
article is based on the "Astrophysics and Relativity using LISA" talk given by
the author at the Seventh Edoardo Amaldi Conference on Gravitational Waves; it
is largely an updating of the author's writeup of a talk given at the Sixth
International LISA Symposium.
| gr-qc astro-ph | lisa is a planned spacebased gravitationalwave gw detector that would be sensitive to waves from lowfrequency sources in the band of roughly 003 01 mhz f 01 hz this is expected to be an extremely rich chunk of the gw spectrum observing these waves will provide a unique view of dynamical processes in astrophysics here we give a quick survey of some key lisa sources and what gws can uniquely teach us about these sources particularly noteworthy science which is highlighted here is the potential for lisa to track the moderate to high redshift evolution of black hole masses and spins through the measurement of gws generated from massive black hole binaries which in turn form by the merger of galaxies and protogalaxies measurement of these binary black hole waves has the potential to determine the masses and spins of the constituent black holes with percentlevel accuracy or better providing a unique highprecision probe of an aspect of early structure growth this article is based on the astrophysics and relativity using lisa talk given by the author at the seventh edoardo amaldi conference on gravitational waves it is largely an updating of the authors writeup of a talk given at the sixth international lisa symposium | [['lisa', 'is', 'a', 'planned', 'spacebased', 'gravitationalwave', 'gw', 'detector', 'that', 'would', 'be', 'sensitive', 'to', 'waves', 'from', 'lowfrequency', 'sources', 'in', 'the', 'band', 'of', 'roughly', '003', '01', 'mhz', 'f', '01', 'hz', 'this', 'is', 'expected', 'to', 'be', 'an', 'extremely', 'rich', 'chunk', 'of', 'the', 'gw', 'spectrum', 'observing', 'these', 'waves', 'will', 'provide', 'a', 'unique', 'view', 'of', 'dynamical', 'processes', 'in', 'astrophysics', 'here', 'we', 'give', 'a', 'quick', 'survey', 'of', 'some', 'key', 'lisa', 'sources', 'and', 'what', 'gws', 'can', 'uniquely', 'teach', 'us', 'about', 'these', 'sources', 'particularly', 'noteworthy', 'science', 'which', 'is', 'highlighted', 'here', 'is', 'the', 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711.0189 | A Tutorial on Spectral Clustering | In recent years, spectral clustering has become one of the most popular
modern clustering algorithms. It is simple to implement, can be solved
efficiently by standard linear algebra software, and very often outperforms
traditional clustering algorithms such as the k-means algorithm. On the first
glance spectral clustering appears slightly mysterious, and it is not obvious
to see why it works at all and what it really does. The goal of this tutorial
is to give some intuition on those questions. We describe different graph
Laplacians and their basic properties, present the most common spectral
clustering algorithms, and derive those algorithms from scratch by several
different approaches. Advantages and disadvantages of the different spectral
clustering algorithms are discussed.
| cs.DS cs.LG | in recent years spectral clustering has become one of the most popular modern clustering algorithms it is simple to implement can be solved efficiently by standard linear algebra software and very often outperforms traditional clustering algorithms such as the kmeans algorithm on the first glance spectral clustering appears slightly mysterious and it is not obvious to see why it works at all and what it really does the goal of this tutorial is to give some intuition on those questions we describe different graph laplacians and their basic properties present the most common spectral clustering algorithms and derive those algorithms from scratch by several different approaches advantages and disadvantages of the different spectral clustering algorithms are discussed | [['in', 'recent', 'years', 'spectral', 'clustering', 'has', 'become', 'one', 'of', 'the', 'most', 'popular', 'modern', 'clustering', 'algorithms', 'it', 'is', 'simple', 'to', 'implement', 'can', 'be', 'solved', 'efficiently', 'by', 'standard', 'linear', 'algebra', 'software', 'and', 'very', 'often', 'outperforms', 'traditional', 'clustering', 'algorithms', 'such', 'as', 'the', 'kmeans', 'algorithm', 'on', 'the', 'first', 'glance', 'spectral', 'clustering', 'appears', 'slightly', 'mysterious', 'and', 'it', 'is', 'not', 'obvious', 'to', 'see', 'why', 'it', 'works', 'at', 'all', 'and', 'what', 'it', 'really', 'does', 'the', 'goal', 'of', 'this', 'tutorial', 'is', 'to', 'give', 'some', 'intuition', 'on', 'those', 'questions', 'we', 'describe', 'different', 'graph', 'laplacians', 'and', 'their', 'basic', 'properties', 'present', 'the', 'most', 'common', 'spectral', 'clustering', 'algorithms', 'and', 'derive', 'those', 'algorithms', 'from', 'scratch', 'by', 'several', 'different', 'approaches', 'advantages', 'and', 'disadvantages', 'of', 'the', 'different', 'spectral', 'clustering', 'algorithms', 'are', 'discussed']] | [-0.02726242105420838, 0.007076946176731816, -0.1443854478171939, 0.15018833744037163, -0.15932727569682348, -0.21118703781444037, -0.05211596026753959, 0.46217562455652106, -0.2916755866434457, -0.35154182351648045, 0.13333697096369046, -0.25916267949371385, -0.19169324869687995, 0.19374353024097654, -0.09950458696589638, 0.047666082093014546, 0.07890559948630567, 0.05107537343994611, -0.07358125505300286, -0.3071493787392994, 0.30040601865810335, 0.06596520006194966, 0.29756123271699136, 0.016267753182313383, 0.036767715380007684, -0.022918994291725323, -0.08561198870177802, 0.043488081090916425, -0.10345448133273003, 0.10885724835953492, 0.3174924032094005, 0.2526246786165314, 0.30685349340494883, -0.3953753107816427, -0.1933138778106843, 0.11333433865434211, 0.18545577315211648, 0.10712411030246398, -0.014599976931802101, -0.21117837762989455, 0.093504634996504, -0.11110981408920553, -0.054514007368244424, -0.12498231099694111, -0.008717096410691738, 0.018340731039643288, -0.14504071419389966, 0.03752840789528484, 0.07874797432261527, 0.008254607359313557, 0.02181889408896876, -0.2032857609228191, 0.07790979982600507, 0.10206077702773306, 0.05456431786943641, 0.006757937232430419, 0.11358228097391179, -0.09661326511428715, -0.1770151454445898, 0.4226213799487067, 0.005120438155439547, -0.1394844989045563, 0.27163499046085227, -0.05440544053259441, -0.22002320123525956, 0.08953166794047779, 0.11296548048814392, 0.13044210304267323, -0.1504562765511119, 0.054624711799148754, -0.009125518079242136, 0.13262252961723214, 0.044230072136220135, 0.02765674610884908, 0.1408031394881292, 0.17313667956707823, 0.0674239235619704, 0.06596803568944366, -0.024695161011659056, -0.08367307982845311, -0.18900705507009202, -0.07599964620879827, -0.21471341628617105, -0.007375048909164193, -0.12337368642279488, -0.1663402074880293, 0.42506542316295653, 0.20886896346480802, 0.2090690860994415, 0.04393790066083018, 0.3710728253548344, 0.08800998960450515, 0.09033636069601864, 0.11714949534059717, 0.21627612933282678, 0.09329513092246702, 0.13465110062916055, -0.13894567298145694, 0.06030299180310665, 0.07045837576798578] |
711.019 | Search for Mid-IR Flux Variations from The Anomalous X-ray Pulsar 4U
0142+61 | We report on our Spitzer observations of the anomalous X-ray pulsar 4U
0142+61, made following a large X-ray burst that occurred on 2007 February 7.
To search for mid-infrared flux variations, four imaging observations were
carried out at 4.5 and 8.0 $\mu$m with the Infrared Array Camera from February
14 to 21. No significant flux variations were detected, and the average fluxes
were 32.1$\pm$2.0 $\mu$Jy at 4.5 $\mu$m and 59.8$\pm8.5$ $\mu$Jy at 8.0 $\mu$m,
consistent with those obtained in 2005. The non-detection of variability is
interesting in light of reported rapid variability from this source in the
near-infrared, but consistent with the fact that the source already went back
to its quiescent state before our observations began, as indicated by
contemporaneous X-ray observations. In order to understand the origin of the
near-infrared variability, frequent, simultaneous multi-wavelength observations
are needed.
| astro-ph | we report on our spitzer observations of the anomalous xray pulsar 4u 014261 made following a large xray burst that occurred on 2007 february 7 to search for midinfrared flux variations four imaging observations were carried out at 45 and 80 mum with the infrared array camera from february 14 to 21 no significant flux variations were detected and the average fluxes were 321pm20 mujy at 45 mum and 598pm85 mujy at 80 mum consistent with those obtained in 2005 the nondetection of variability is interesting in light of reported rapid variability from this source in the nearinfrared but consistent with the fact that the source already went back to its quiescent state before our observations began as indicated by contemporaneous xray observations in order to understand the origin of the nearinfrared variability frequent simultaneous multiwavelength observations are needed | [['we', 'report', 'on', 'our', 'spitzer', 'observations', 'of', 'the', 'anomalous', 'xray', 'pulsar', '4u', '014261', 'made', 'following', 'a', 'large', 'xray', 'burst', 'that', 'occurred', 'on', '2007', 'february', '7', 'to', 'search', 'for', 'midinfrared', 'flux', 'variations', 'four', 'imaging', 'observations', 'were', 'carried', 'out', 'at', '45', 'and', '80', 'mum', 'with', 'the', 'infrared', 'array', 'camera', 'from', 'february', '14', 'to', '21', 'no', 'significant', 'flux', 'variations', 'were', 'detected', 'and', 'the', 'average', 'fluxes', 'were', '321pm20', 'mujy', 'at', '45', 'mum', 'and', '598pm85', 'mujy', 'at', '80', 'mum', 'consistent', 'with', 'those', 'obtained', 'in', '2005', 'the', 'nondetection', 'of', 'variability', 'is', 'interesting', 'in', 'light', 'of', 'reported', 'rapid', 'variability', 'from', 'this', 'source', 'in', 'the', 'nearinfrared', 'but', 'consistent', 'with', 'the', 'fact', 'that', 'the', 'source', 'already', 'went', 'back', 'to', 'its', 'quiescent', 'state', 'before', 'our', 'observations', 'began', 'as', 'indicated', 'by', 'contemporaneous', 'xray', 'observations', 'in', 'order', 'to', 'understand', 'the', 'origin', 'of', 'the', 'nearinfrared', 'variability', 'frequent', 'simultaneous', 'multiwavelength', 'observations', 'are', 'needed']] | [-0.0293851658603326, 0.12613573700638256, -0.04672346966694633, 0.07475131613467514, -0.09590776618842008, -0.07607533445371056, 0.11029035792461712, 0.4890708582761296, -0.12573152828840947, -0.42930020502068267, 0.17069596845493482, -0.35900690765493976, -0.04096579288615145, 0.20380053762176556, -0.06702138150423548, 0.005753995853656373, 0.11671321452289385, -0.1283816187030697, -0.0033782307146946445, -0.2671632901042059, 0.164122159946302, 0.12357201537858341, 0.20011247940069188, -0.012478861971384418, 0.09291813273006629, -0.06968333850866251, -0.16553672552992502, -0.06004278495462516, -0.08640764247556812, 0.0320581571185404, 0.24326593257541204, 0.07388858385544472, 0.15521242331125412, -0.3996060131080313, -0.2281982228839702, 0.020207458767142607, 0.09856640378584283, -0.04648846762431581, 0.020757386855182858, -0.30417816181850693, 0.027621201310905008, -0.12087737887853035, -0.15655093221673674, 0.08919505970756503, 0.09460249865414018, 0.004337722860467043, -0.1718564656066851, 0.08992960807751782, -0.03978960209778496, 0.14876477394837642, -0.1741197780921824, -0.10508171674272004, -0.026517379162221275, 0.06074907007987482, 0.02912378881932202, 0.11865434394877432, 0.09750944508892233, -0.10036484591397762, -0.11777234535637128, 0.2940956669567275, -0.0899164586771538, 0.12634916870385735, 0.2171144475395635, -0.24992816432304407, -0.23214867050983828, 0.2776714493758487, 0.10018294683426456, 0.08067979216303704, -0.17179955820889503, -0.020107587243270563, -0.007607835949990001, 0.28957841141543683, 0.0941287730565553, 0.07966869501447998, 0.3127626736961088, 0.10686209818550528, -0.045441264339215394, 0.1428422506483965, -0.3628109219062557, -0.001334957479342927, -0.2582485567316087, -0.03336831925260107, -0.12414851853025764, 0.1554716213055662, -0.06815987210994821, -0.0422632770857563, 0.37085283479320197, 0.15050655446715488, 0.18732947919408988, 0.009092256589962619, 0.2663149190930663, 0.0626789662811946, 0.08644436982657461, 0.11063558315980608, 0.39727862600753777, 0.10286763899264531, 0.20668085023461685, -0.1940012780514403, 0.02543943872281017, -0.0670474874956982] |
711.0191 | Thick triangulations of hyperbolic n-manifolds | We show that a complete hyperbolic n-manifold has a geodesic triangulation
such that the tetrahedra contained in the thick part are L-bilipschitz
diffeomorphic to the standard Euclidean n-simplex, for some constant L
depending only on the dimension and the constant used to define the thick-thin
decomposition of M.
| math.GT | we show that a complete hyperbolic nmanifold has a geodesic triangulation such that the tetrahedra contained in the thick part are lbilipschitz diffeomorphic to the standard euclidean nsimplex for some constant l depending only on the dimension and the constant used to define the thickthin decomposition of m | [['we', 'show', 'that', 'a', 'complete', 'hyperbolic', 'nmanifold', 'has', 'a', 'geodesic', 'triangulation', 'such', 'that', 'the', 'tetrahedra', 'contained', 'in', 'the', 'thick', 'part', 'are', 'lbilipschitz', 'diffeomorphic', 'to', 'the', 'standard', 'euclidean', 'nsimplex', 'for', 'some', 'constant', 'l', 'depending', 'only', 'on', 'the', 'dimension', 'and', 'the', 'constant', 'used', 'to', 'define', 'the', 'thickthin', 'decomposition', 'of', 'm']] | [-0.1567094428658796, 0.06649094755509093, -0.04730337477910022, 0.03303303331874, -0.1257296736293938, -0.11635175434639677, -0.021328452741727233, 0.357595207169652, -0.28254799513767165, -0.19494796860575056, 0.13824146267870674, -0.3134334088147928, -0.12025656596718666, 0.15245199985899185, -0.12782666429605646, 0.004473371125641279, 0.06045793396575997, 0.0997609524638392, -0.07100216185790487, -0.26565477713787305, 0.3561672473636766, -0.06783891206820651, 0.18294043847708963, 0.055383671288533755, 0.16301165307716778, -0.02104272070573643, -0.0028438744023636295, 0.10376192609934758, -0.2268051291384836, 0.12141627682528149, 0.19206128329581892, 0.0845931341512672, 0.14585492113352908, -0.3916968651271115, -0.1860047544032568, 0.16826569743958922, 0.14967479522844465, -0.021122321641693514, -0.010405542476898214, -0.215315329687049, 0.12675997392701296, -0.04117134353145957, -0.1655142861030375, -0.03861880170491835, 0.07782245671842247, -0.07222201921589051, -0.19391958531923592, 0.0032884673467682055, 0.1299166954898586, 0.025721483669864636, -0.025677627020437892, -0.11909747824150448, -0.0655525714197817, 0.1025697192599182, -0.013977977777055154, 0.11386619952584927, 0.09308605547024247, 0.012485257718556872, -0.057354064735894404, 0.4146824583003763, -0.1104305330469894, -0.3104247552109882, 0.1466262097043606, -0.17206478177104145, -0.11116900928512526, 0.1438622695131926, 0.1386779635795392, 0.14534875696214536, -0.038460182724520564, 0.2088471945207857, -0.11491177764643605, 0.15744387779462463, 0.1237600044211528, -0.027290673674239468, 0.12072268578534325, 0.10164509110957927, 0.142986885747329, 0.11576396570308134, -0.05048549404697648, -0.0363196853431873, -0.3600726968919237, -0.2287049365695566, -0.2011375839744384, 0.14682364145604274, -0.17699299651788655, -0.24389590695500374, 0.32505794168294716, 0.006871566525660455, 0.2252805226792892, 0.07779853855026886, 0.26128491454195074, -0.022480381646649523, 0.10119257231417578, 0.14635278096344942, 0.1914961306447367, 0.11202388543946047, -0.0053491923317778856, -0.14568227198712216, -0.01636425756441895, 0.1666395038482733] |
711.0192 | Some properties of the Alday-Maldacena minimum | The Alday-Maldacena solution, relevant to the n=4 gluon amplitude in N=4 SYM
at strong coupling, was recently identified as a minimum of the regularized
action in the moduli space of solutions of the AdS_5 sigma-model equations of
motion. Analogous solutions of the Nambu-Goto equations for the n=4 case are
presented and shown to form (modulo the reparametrization group) an equally
large but different moduli space, with the Alday-Maldacena solution at the
intersection of the sigma-model and Nambu-Goto moduli spaces. We comment upon
the possible form of the regularized action for n=5. A function of moduli
parameters z_a is written, whose minimum reproduces the BDDK one-loop
five-gluon amplitude. This function may thus be considered as some kind of
Legendre transform of the BDDK formula and has its own value independently of
the Alday-Maldacena approach.
| hep-th | the aldaymaldacena solution relevant to the n4 gluon amplitude in n4 sym at strong coupling was recently identified as a minimum of the regularized action in the moduli space of solutions of the ads_5 sigmamodel equations of motion analogous solutions of the nambugoto equations for the n4 case are presented and shown to form modulo the reparametrization group an equally large but different moduli space with the aldaymaldacena solution at the intersection of the sigmamodel and nambugoto moduli spaces we comment upon the possible form of the regularized action for n5 a function of moduli parameters z_a is written whose minimum reproduces the bddk oneloop fivegluon amplitude this function may thus be considered as some kind of legendre transform of the bddk formula and has its own value independently of the aldaymaldacena approach | [['the', 'aldaymaldacena', 'solution', 'relevant', 'to', 'the', 'n4', 'gluon', 'amplitude', 'in', 'n4', 'sym', 'at', 'strong', 'coupling', 'was', 'recently', 'identified', 'as', 'a', 'minimum', 'of', 'the', 'regularized', 'action', 'in', 'the', 'moduli', 'space', 'of', 'solutions', 'of', 'the', 'ads_5', 'sigmamodel', 'equations', 'of', 'motion', 'analogous', 'solutions', 'of', 'the', 'nambugoto', 'equations', 'for', 'the', 'n4', 'case', 'are', 'presented', 'and', 'shown', 'to', 'form', 'modulo', 'the', 'reparametrization', 'group', 'an', 'equally', 'large', 'but', 'different', 'moduli', 'space', 'with', 'the', 'aldaymaldacena', 'solution', 'at', 'the', 'intersection', 'of', 'the', 'sigmamodel', 'and', 'nambugoto', 'moduli', 'spaces', 'we', 'comment', 'upon', 'the', 'possible', 'form', 'of', 'the', 'regularized', 'action', 'for', 'n5', 'a', 'function', 'of', 'moduli', 'parameters', 'z_a', 'is', 'written', 'whose', 'minimum', 'reproduces', 'the', 'bddk', 'oneloop', 'fivegluon', 'amplitude', 'this', 'function', 'may', 'thus', 'be', 'considered', 'as', 'some', 'kind', 'of', 'legendre', 'transform', 'of', 'the', 'bddk', 'formula', 'and', 'has', 'its', 'own', 'value', 'independently', 'of', 'the', 'aldaymaldacena', 'approach']] | [-0.1566282420388942, 0.11816619766464205, -0.10540353878266143, 0.09645664947861024, -0.0828296228290628, -0.09283138723077096, -0.013585757132697822, 0.27830249837151805, -0.23851176504870408, -0.2545791834678131, 0.10221475817241799, -0.28378296187076407, -0.18782417200423976, 0.1476857644627546, -0.053332408090328215, 0.09133334853730826, 0.009603001207525608, 0.09030901268302313, -0.10035455509183132, -0.28715811131472296, 0.3202398917033472, 0.011572304658079876, 0.2526598635097639, 0.04017826950333955, 0.14272633312582855, 0.010192936001956919, 0.002391368978948311, -0.017284307810602327, -0.10308252139201829, 0.10295942635808623, 0.2398556818019684, 0.0768121104680343, 0.15209615025811524, -0.4077062084844322, -0.17830463328917745, 0.09349827245517656, 0.16795722065664087, 0.11061549591938503, 0.05832362060438671, -0.24046954167615764, 0.04953549036183857, -0.1400648361882408, -0.21740816711298838, -0.07827387528337595, 0.06777700180372664, -0.0377785699772613, -0.2428625745855215, 0.037940997914731045, -0.011671052225474411, -0.004823572087663276, -0.1161116092343182, -0.12952816487780508, -0.0801783790954083, 0.07925561157531524, 0.14334757813920787, 0.12358558302005852, 0.07074549048072623, -0.2126669984165124, -0.06801113010320159, 0.3841368051508854, -0.09297590375565107, -0.23513797077684456, 0.09445168128066504, -0.1512555140746004, -0.14734926272027252, 0.12901863765739302, 0.0967473087988737, 0.19429042027509622, -0.12644503607578178, 0.21617270004979997, -0.04146540323485627, 0.11120136162107952, 0.13471940022232082, 0.029115691500225367, 0.16861117436401263, 0.11675390666564002, 0.04443441030661796, 0.16536355317118825, -0.00034569186791208863, -0.09834621900351334, -0.42175614327647304, -0.12094946664878885, -0.12875065222410984, 0.08647574307148181, -0.1736934012872254, -0.19012252446366226, 0.36933712235061833, 0.06585127988720015, 0.17309613700579313, 0.10021790980098357, 0.19399228475397837, 0.1646649756465278, 0.08060094312842907, 0.049683262995721504, 0.24867527047994206, 0.16052788460470793, 0.04119885782533474, -0.27048320057872993, -0.06678300230401277, 0.2326636603528648] |
711.0193 | Upper and Lower Bounds on Gravitational Entropy | The entropy in the interior of the Universe has many contributions including
well understood ones from radiation and relic neutrinos. The gravitational
entropy is larger and more subtle. One contribution which provides our lower
bound is from supermassive black holes at the centers of galaxies. The
remainder is harder to pin down. We suggest an upper bound which is many orders
of magnitude below the holographic bound yet above that of the supermassive
black holes. We propose that gravitational entropy in dark matter halos is the
largest contributor to the present entropy of the universe.
| gr-qc | the entropy in the interior of the universe has many contributions including well understood ones from radiation and relic neutrinos the gravitational entropy is larger and more subtle one contribution which provides our lower bound is from supermassive black holes at the centers of galaxies the remainder is harder to pin down we suggest an upper bound which is many orders of magnitude below the holographic bound yet above that of the supermassive black holes we propose that gravitational entropy in dark matter halos is the largest contributor to the present entropy of the universe | [['the', 'entropy', 'in', 'the', 'interior', 'of', 'the', 'universe', 'has', 'many', 'contributions', 'including', 'well', 'understood', 'ones', 'from', 'radiation', 'and', 'relic', 'neutrinos', 'the', 'gravitational', 'entropy', 'is', 'larger', 'and', 'more', 'subtle', 'one', 'contribution', 'which', 'provides', 'our', 'lower', 'bound', 'is', 'from', 'supermassive', 'black', 'holes', 'at', 'the', 'centers', 'of', 'galaxies', 'the', 'remainder', 'is', 'harder', 'to', 'pin', 'down', 'we', 'suggest', 'an', 'upper', 'bound', 'which', 'is', 'many', 'orders', 'of', 'magnitude', 'below', 'the', 'holographic', 'bound', 'yet', 'above', 'that', 'of', 'the', 'supermassive', 'black', 'holes', 'we', 'propose', 'that', 'gravitational', 'entropy', 'in', 'dark', 'matter', 'halos', 'is', 'the', 'largest', 'contributor', 'to', 'the', 'present', 'entropy', 'of', 'the', 'universe']] | [-0.10458804838677967, 0.1600691302889333, -0.10365149633664834, 0.18335704269304284, -0.08459039836337692, -0.048343707797558685, 0.02313278459049271, 0.26644629946860826, -0.17875379414150588, -0.3465105431840608, 0.05849805591676972, -0.3738212788771642, -0.04335404087446238, 0.22742027696650965, -0.017507653075613475, -0.019513254333747013, -0.05628807569216741, 0.048667384958580924, -0.029789054602090467, -0.2571145514528708, 0.36018151272284354, 0.1001322515406891, 0.20769163651489897, 0.08046237351863007, 0.046355921466295656, -0.10510476647729153, -0.0036963097947208504, -0.021339976532678856, -0.15896121162360557, 0.09721743692889025, 0.22452271250076591, 0.15276541110422265, 0.21787859294318446, -0.4016744140927729, -0.21429023842670417, 0.1503169396990224, 0.16857803479621286, 0.1591069562238102, -0.09655675150187515, -0.24202262247471432, 0.10681781994705823, -0.20357901312802967, -0.12307319215645915, 0.0038459167668693944, 0.032409217071376346, -0.08510371950504027, -0.1646642193639357, 0.18025871293962395, 0.07912511891856985, -0.11529927872102953, -0.08422826430515239, -0.1031537185668161, -0.03283090729168371, 0.08216638365074208, 0.13570378538172104, 0.04693477519444729, 0.20993203314903536, -0.16074470910978944, -0.08297657056858665, 0.381013383956528, -0.07990522785724974, -0.059953088332947935, 0.1856941449112798, -0.2433453199012499, -0.12632944977008984, 0.15736043449785364, 0.13185853696134137, 0.17035660504050995, -0.149892107573779, 0.09066684760128785, -0.019063696301983374, 0.20130960378599794, 0.06001522844951404, 0.104538640845567, 0.3666468324237748, 0.14924074369850324, 0.1276087817429614, 0.16443443333632068, -0.07198608802190344, -0.039728402385586184, -0.3002066558128909, -0.13701068045706244, -0.19927156528359966, 0.07445455775841286, -0.14860932147589903, -0.13235796348706477, 0.31238270669464807, 0.11783890667322434, 0.18631964129836937, 0.04683287059643159, 0.3195676245816254, 0.10064735825136795, 0.07017125728000936, 0.14731466598612697, 0.36118060119057954, 0.14633560276247168, 0.07103077592328191, -0.2211474325042218, 0.024023837091303187, 0.08669422676688747] |
711.0194 | Coinductive Proof Principles for Stochastic Processes | We give an explicit coinduction principle for recursively-defined stochastic
processes. The principle applies to any closed property, not just equality, and
works even when solutions are not unique. The rule encapsulates low-level
analytic arguments, allowing reasoning about such processes at a higher
algebraic level. We illustrate the use of the rule in deriving properties of a
simple coin-flip process.
| cs.LO | we give an explicit coinduction principle for recursivelydefined stochastic processes the principle applies to any closed property not just equality and works even when solutions are not unique the rule encapsulates lowlevel analytic arguments allowing reasoning about such processes at a higher algebraic level we illustrate the use of the rule in deriving properties of a simple coinflip process | [['we', 'give', 'an', 'explicit', 'coinduction', 'principle', 'for', 'recursivelydefined', 'stochastic', 'processes', 'the', 'principle', 'applies', 'to', 'any', 'closed', 'property', 'not', 'just', 'equality', 'and', 'works', 'even', 'when', 'solutions', 'are', 'not', 'unique', 'the', 'rule', 'encapsulates', 'lowlevel', 'analytic', 'arguments', 'allowing', 'reasoning', 'about', 'such', 'processes', 'at', 'a', 'higher', 'algebraic', 'level', 'we', 'illustrate', 'the', 'use', 'of', 'the', 'rule', 'in', 'deriving', 'properties', 'of', 'a', 'simple', 'coinflip', 'process']] | [-0.10525578591909449, 0.046151006651768, -0.13469785650781654, 0.17019852222909906, -0.17869442174116434, -0.16645268459757, 0.12511662327510825, 0.3472200281034082, -0.30093696261992897, -0.2352657358051609, 0.10053286600909275, -0.2073627492586561, -0.13438008911118415, 0.22051123897466113, -0.07158361541864983, 0.018316247563619735, 0.04099772960515851, 0.06709711466347641, -0.07506044555092388, -0.19859189027920365, 0.32233404229253027, 0.029563353175960354, 0.2360423698358364, 0.08637821514917127, 0.17572980607717725, 0.046531640703521546, -0.01623870116674294, -0.01317476223901672, -0.13556501218828104, 0.10448464074061584, 0.2748576748397959, 0.19680586646674042, 0.26130895992204295, -0.47102059146105235, -0.172140873420068, 0.10169254260737512, 0.09403387037198596, 0.14185011073339227, 0.00483719209580035, -0.22739506594962994, 0.08823033532332945, -0.1408828698666924, -0.18785515765391164, -0.14199447919125274, -0.014310270240056818, 0.016867442719512068, -0.29793838084817437, 0.037384458596549805, 0.21784917678747137, 0.10547277659682905, -0.04411129808444056, -0.07585573187531998, 0.028085753882019702, 0.11937211760787404, -0.023984637396050997, -0.06793283144459997, 0.12339009927049027, -0.09751037586385668, -0.1755798241711553, 0.3410698440778306, -0.018998280380678884, -0.23433358260130477, 0.19303088923284817, -0.09318626544169956, -0.18859910741606253, 0.11065168588982612, 0.07949781513346707, 0.16558260166765018, -0.18674427010163358, 0.1314634583343878, -0.029179782811867987, 0.1319355542921477, 0.0702260025555931, 0.018677949305560628, 0.16936708673424386, 0.10372171245941544, 0.07078513117128257, 0.09871322298580307, 0.047754869054434664, -0.13353707665040837, -0.3667538448284238, -0.15469980977822917, -0.101502902718987, 0.07904870832246191, -0.11812520252863316, -0.16337969883392423, 0.3062421954000148, 0.13080085692453688, 0.16651090663873544, 0.12392457249432297, 0.28142957038924854, 0.19904383361907835, 0.05049700842444169, 0.06956056890598798, 0.18509564374305182, 0.14320625978032664, 0.05602682662843648, -0.12220933570889599, 0.11403163271498377, 0.10932197082408909] |
711.0195 | Sine-Gordon-like action for the Superstring in AdS(5) x S(5) | We propose an action for a sine-Gordon-like theory, which reproduces the
classical equations of motion of the Green-Schwarz-Metsaev-Tseytlin superstring
on AdS(5) x S(5). The action is relativistically invariant. It is a
mass-deformed gauged WZW model for SO(4,1) x SO(5) / SO(4) x SO(4) interacting
with fermions.
| hep-th | we propose an action for a sinegordonlike theory which reproduces the classical equations of motion of the greenschwarzmetsaevtseytlin superstring on ads5 x s5 the action is relativistically invariant it is a massdeformed gauged wzw model for so41 x so5 so4 x so4 interacting with fermions | [['we', 'propose', 'an', 'action', 'for', 'a', 'sinegordonlike', 'theory', 'which', 'reproduces', 'the', 'classical', 'equations', 'of', 'motion', 'of', 'the', 'greenschwarzmetsaevtseytlin', 'superstring', 'on', 'ads5', 'x', 's5', 'the', 'action', 'is', 'relativistically', 'invariant', 'it', 'is', 'a', 'massdeformed', 'gauged', 'wzw', 'model', 'for', 'so41', 'x', 'so5', 'so4', 'x', 'so4', 'interacting', 'with', 'fermions']] | [-0.1881494419331747, 0.19709107869560036, -0.08860603576018052, 0.0792251131973568, -0.10173120574009689, -0.188355672321367, -0.08090557096875273, 0.35744780755009165, -0.10718504529954358, -0.17103771543638271, 0.03356737667027945, -0.32117214731194754, -0.1621693916068497, 0.022374010322065176, -0.11370794563977556, 0.0001710307022387331, -0.060733550090596757, 0.14469657649963416, -0.1824834894981574, -0.2441660754213279, 0.2601301592076197, -0.087498050193641, 0.29937597779049113, -0.07146796540738168, 0.25704823121089826, 0.008853315735574473, 0.12068685796111822, -0.10234663694758307, -0.044652433769608084, 0.1516597133278, 0.1942890263797546, 0.005029138304631819, 0.002919325393370607, -0.42150730677795684, -0.2503560608760877, 0.031331511674745176, 0.17437393273311583, 0.12223863064851188, 0.03087999422727576, -0.37510693818330765, -0.0033912228166379714, -0.24227806757500564, -0.1953857965682718, -0.09581111881627956, 0.08671063155105169, -0.19168450666422193, -0.26042667810212483, 0.0785356320186772, 0.017684825632551856, 0.051737365376373586, -0.09191762192428789, -0.00394025404768234, -0.16965412035245786, 0.0016269927145913243, 0.16503475450074553, 0.19720360462088138, 0.13781124764037403, -0.18172114094010217, -0.14818069069984963, 0.443125150420449, -0.10123198051852259, -0.30664820584934205, 0.10585022592832419, -0.12229804087176242, -0.24765936899083582, 0.1288655999285931, 0.0705886070447212, 0.203029921955683, -0.1552992354739796, 0.35619596097703005, -0.13492706445553762, 0.13805600585923952, 0.004267397294328971, 0.004551182247020982, 0.25844278872351756, 0.16516704027625648, 0.02995462156832218, 0.10117178490724076, -0.009876452285838737, -0.12251310279084877, -0.48782441494139756, -0.11667657976927744, -0.04948765268041329, 0.24744549283588474, -0.12640028391880068, -0.16108951779526912, 0.3623930275524882, 0.0912318586157529, 0.13996269105171616, 0.08920536753033627, 0.11255647225136106, 0.12146667342379013, -0.00337715485048565, 0.04257362430110912, 0.12488490801346912, 0.17974016722291708, -0.03183939433868297, -0.28893024988726457, -0.24812803442843936, 0.32008377157829027] |
711.0196 | Charging and Growth of Fractal Dust Grains | The structure and evolution of aggregate grains formed within a plasma
environment are dependent upon the charge acquired by the micron-sized dust
grains during the coagulation process. The manner in which the charge is
arranged on developing irregular structures can affect the fractal dimension of
aggregates formed during collisions, which in turn influences the coagulation
rate and size evolution of the dust within the plasma cloud. This paper
presents preliminary models for the charge and size evolution of fractal
aggregates immersed in a plasma environment calculated using a modification to
the orbital-motion-limited (OML) theory. Primary electron and ion currents
incident on points on the aggregate surface are determined using a
line-of-sight (LOS) approximation: only those electron or ion trajectories
which are not blocked by another grain within the aggregate contribute to the
charging current. Using a self-consistent iterative approach, the equilibrium
charge and dipole moment are calculated for the dust aggregate. The charges are
then used to develop a heuristic charging scheme which can be implemented in
coagulation models. While most coagulation theories assume that it is difficult
for like-charged grains to coagulate, the OML_LOS approximation indicates that
the electric potentials of aggregate structures are often reduced enough to
allow significant coagulation to occur.
| astro-ph | the structure and evolution of aggregate grains formed within a plasma environment are dependent upon the charge acquired by the micronsized dust grains during the coagulation process the manner in which the charge is arranged on developing irregular structures can affect the fractal dimension of aggregates formed during collisions which in turn influences the coagulation rate and size evolution of the dust within the plasma cloud this paper presents preliminary models for the charge and size evolution of fractal aggregates immersed in a plasma environment calculated using a modification to the orbitalmotionlimited oml theory primary electron and ion currents incident on points on the aggregate surface are determined using a lineofsight los approximation only those electron or ion trajectories which are not blocked by another grain within the aggregate contribute to the charging current using a selfconsistent iterative approach the equilibrium charge and dipole moment are calculated for the dust aggregate the charges are then used to develop a heuristic charging scheme which can be implemented in coagulation models while most coagulation theories assume that it is difficult for likecharged grains to coagulate the oml_los approximation indicates that the electric potentials of aggregate structures are often reduced enough to allow significant coagulation to occur | [['the', 'structure', 'and', 'evolution', 'of', 'aggregate', 'grains', 'formed', 'within', 'a', 'plasma', 'environment', 'are', 'dependent', 'upon', 'the', 'charge', 'acquired', 'by', 'the', 'micronsized', 'dust', 'grains', 'during', 'the', 'coagulation', 'process', 'the', 'manner', 'in', 'which', 'the', 'charge', 'is', 'arranged', 'on', 'developing', 'irregular', 'structures', 'can', 'affect', 'the', 'fractal', 'dimension', 'of', 'aggregates', 'formed', 'during', 'collisions', 'which', 'in', 'turn', 'influences', 'the', 'coagulation', 'rate', 'and', 'size', 'evolution', 'of', 'the', 'dust', 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711.0197 | Searches at LHC Beyond the Standard Model | The discovery potentials of ATLAS and CMS experiments at the Large Hadron
Collider (LHC) for Supersimmetry (SUSY), Extra Dimensions (ED), new Gauge
Bosons and R-Hadrons are discussed. Beyond Standard-Model (BSM) searches at LHC
require a detailed understanding of the detector performance, reconstruction
algorithms and triggering. Precision measurements of Standard Model (SM)
processes are also mandatory to acquire the necessary knowledge of SM
background. Both ATLAS and CMS efforts are hence addressed to determine the
best calibration candles and to design a realistic plan for the initial period
of data taking.
| hep-ex | the discovery potentials of atlas and cms experiments at the large hadron collider lhc for supersimmetry susy extra dimensions ed new gauge bosons and rhadrons are discussed beyond standardmodel bsm searches at lhc require a detailed understanding of the detector performance reconstruction algorithms and triggering precision measurements of standard model sm processes are also mandatory to acquire the necessary knowledge of sm background both atlas and cms efforts are hence addressed to determine the best calibration candles and to design a realistic plan for the initial period of data taking | [['the', 'discovery', 'potentials', 'of', 'atlas', 'and', 'cms', 'experiments', 'at', 'the', 'large', 'hadron', 'collider', 'lhc', 'for', 'supersimmetry', 'susy', 'extra', 'dimensions', 'ed', 'new', 'gauge', 'bosons', 'and', 'rhadrons', 'are', 'discussed', 'beyond', 'standardmodel', 'bsm', 'searches', 'at', 'lhc', 'require', 'a', 'detailed', 'understanding', 'of', 'the', 'detector', 'performance', 'reconstruction', 'algorithms', 'and', 'triggering', 'precision', 'measurements', 'of', 'standard', 'model', 'sm', 'processes', 'are', 'also', 'mandatory', 'to', 'acquire', 'the', 'necessary', 'knowledge', 'of', 'sm', 'background', 'both', 'atlas', 'and', 'cms', 'efforts', 'are', 'hence', 'addressed', 'to', 'determine', 'the', 'best', 'calibration', 'candles', 'and', 'to', 'design', 'a', 'realistic', 'plan', 'for', 'the', 'initial', 'period', 'of', 'data', 'taking']] | [-0.022824246525304036, 0.18783173839865105, -0.051902387924283075, 0.15059988953570805, -0.11024372260808275, -0.21688643525867315, 0.004845595288121801, 0.33859775887195315, -0.1667665998043304, -0.3586925324261858, 0.08571176220443141, -0.3113641646174646, 0.028244254880406883, 0.17091629166532768, 0.01612725742998418, 0.1620498741492943, 0.1486315105079014, -0.03618760443596023, -0.06598398467693269, -0.3055125238332018, 0.17329676981931658, 0.16454927464214603, 0.22432973912885684, 0.06930949180805532, 0.07591717177086374, 0.03269520885405246, -0.11526308449023152, -0.07946558830359679, -0.12514754870299544, 0.09638135626995831, 0.2776053177423022, 0.1485383948775563, 0.11839657846126664, -0.3974813493701179, -0.12458334260965499, 0.15594109177087132, 0.12691502593813486, 0.09222366363647279, -0.10219656299600859, -0.3427267087979263, 0.11319647238621217, -0.20051354597835394, -0.1268715143185423, -0.08549135816388168, -0.04666356627274765, -0.11057390543642674, -0.35398362072582323, 0.024265085770473867, -0.04243741892382837, 0.09173998968633876, -0.026025848954999715, -0.20086606658911438, -0.036667600054335725, 0.04839681283560362, 0.0942333974709389, 0.007297823467197713, 0.19305948757702548, -0.22332255475306778, -0.22551012111911445, 0.35729010682553053, -0.016451749432664572, -0.14458688478027418, 0.24926844959178668, -0.20987546539164326, -0.15097820776837795, 0.12383786776218186, 0.2698161762124032, 0.003174712337302358, -0.25077153795681306, 0.18975059928443136, 0.06396585742660453, 0.15711819605504193, 0.04065011817114323, 0.0866239851319723, 0.2541875661994341, 0.2841304365775726, 0.05350000088710045, -0.0019041514926684204, -0.09247505719239792, -0.058910854914215174, -0.4783069669698062, -0.10070255037732004, -0.08703925785493483, -0.038889822899363935, -0.026322169134392025, -0.057157671518540114, 0.3684281537942379, 0.19127555677583546, 0.21693738519601272, 0.007895513427224053, 0.3195490837698865, -0.01251032318673986, 0.09338976262157568, -0.012032092038281733, 0.34584265135573955, 0.07830760614381413, 0.17182367186198075, -0.1830590402477243, 0.004591560708044955, 0.05779237004279504] |
711.0198 | A Geometric Approach to Confidence Sets for Ratios: Fieller's Theorem,
Generalizations, and Bootstrap | We present a geometric method to determine confidence sets for the ratio
E(Y)/E(X) of the means of random variables X and Y. This method reduces the
problem of constructing confidence sets for the ratio of two random variables
to the problem of constructing confidence sets for the means of one-dimensional
random variables. It is valid in a large variety of circumstances. In the case
of normally distributed random variables, the so constructed confidence sets
coincide with the standard Fieller confidence sets. Generalizations of our
construction lead to definitions of exact and conservative confidence sets for
very general classes of distributions, provided the joint expectation of (X,Y)
exists and the linear combinations of the form aX + bY are well-behaved.
Finally, our geometric method allows to derive a very simple bootstrap approach
for constructing conservative confidence sets for ratios which perform
favorably in certain situations, in particular in the asymmetric heavy-tailed
regime.
| stat.ME math.ST stat.TH | we present a geometric method to determine confidence sets for the ratio eyex of the means of random variables x and y this method reduces the problem of constructing confidence sets for the ratio of two random variables to the problem of constructing confidence sets for the means of onedimensional random variables it is valid in a large variety of circumstances in the case of normally distributed random variables the so constructed confidence sets coincide with the standard fieller confidence sets generalizations of our construction lead to definitions of exact and conservative confidence sets for very general classes of distributions provided the joint expectation of xy exists and the linear combinations of the form ax by are wellbehaved finally our geometric method allows to derive a very simple bootstrap approach for constructing conservative confidence sets for ratios which perform favorably in certain situations in particular in the asymmetric heavytailed regime | [['we', 'present', 'a', 'geometric', 'method', 'to', 'determine', 'confidence', 'sets', 'for', 'the', 'ratio', 'eyex', 'of', 'the', 'means', 'of', 'random', 'variables', 'x', 'and', 'y', 'this', 'method', 'reduces', 'the', 'problem', 'of', 'constructing', 'confidence', 'sets', 'for', 'the', 'ratio', 'of', 'two', 'random', 'variables', 'to', 'the', 'problem', 'of', 'constructing', 'confidence', 'sets', 'for', 'the', 'means', 'of', 'onedimensional', 'random', 'variables', 'it', 'is', 'valid', 'in', 'a', 'large', 'variety', 'of', 'circumstances', 'in', 'the', 'case', 'of', 'normally', 'distributed', 'random', 'variables', 'the', 'so', 'constructed', 'confidence', 'sets', 'coincide', 'with', 'the', 'standard', 'fieller', 'confidence', 'sets', 'generalizations', 'of', 'our', 'construction', 'lead', 'to', 'definitions', 'of', 'exact', 'and', 'conservative', 'confidence', 'sets', 'for', 'very', 'general', 'classes', 'of', 'distributions', 'provided', 'the', 'joint', 'expectation', 'of', 'xy', 'exists', 'and', 'the', 'linear', 'combinations', 'of', 'the', 'form', 'ax', 'by', 'are', 'wellbehaved', 'finally', 'our', 'geometric', 'method', 'allows', 'to', 'derive', 'a', 'very', 'simple', 'bootstrap', 'approach', 'for', 'constructing', 'conservative', 'confidence', 'sets', 'for', 'ratios', 'which', 'perform', 'favorably', 'in', 'certain', 'situations', 'in', 'particular', 'in', 'the', 'asymmetric', 'heavytailed', 'regime']] | [-0.11492790686999504, 0.069006745891033, -0.05569494733799424, 0.11700015688852576, -0.02156854394335775, -0.12484144754770318, 0.11963962486182533, 0.35019845189214155, -0.23818943166914677, -0.26769022952652716, 0.08452479108377366, -0.23527912683200933, -0.08987782907440958, 0.23573812157471957, -0.07746945954890509, 0.09150329611620447, 0.05978679374304144, 0.014690260177840723, -0.07293451940929892, -0.27090715475758576, 0.3175752753127779, 0.01495135400519275, 0.2768555202102601, -0.04160664567642614, 0.1318613210811761, 0.033406452347693225, -0.03679802691120179, 0.05228520292888752, -0.11111712438560672, 0.16130583690660663, 0.2506101433619007, 0.14560200100227091, 0.2550070647919088, -0.3303559734017257, -0.16422166127610746, 0.1392712553575535, 0.10014070995814549, 0.08403110217253033, 0.02298630065215914, -0.26146393042876565, 0.08793166200016062, -0.14635487903384553, -0.13814644244243235, -0.11953418384987435, 0.024334429094455386, 0.03569010671403184, -0.36214519411187945, 0.08801334654137292, 0.06151170070414375, 0.04099602329282202, -0.02552766468877523, -0.15149177265612895, 0.02113194379568, 0.07804291958189351, 0.03248202717462992, -0.0046433476960105234, 0.06487552998524984, -0.0596635536518848, -0.09857539733834314, 0.34674454323522397, -0.03843150642464537, -0.2876146358856619, 0.19915931900156875, -0.1421402754330845, -0.20208188346524616, 0.10803984882522549, 0.17207172586138816, 0.1555073693419663, -0.16159481645230478, 0.12835909808624923, -0.06937665690592922, 0.1044459614022588, 0.0738792803119743, 0.016658139685809537, 0.20007871945807398, 0.12133608342635901, 0.09138480341374475, 0.15075665801113483, -0.08638667727776822, -0.11162609209997217, -0.34788728450368717, -0.08024010703927875, -0.15311724634609816, 0.006048560998833819, -0.1695005570507285, -0.24710205484856695, 0.37365401126663106, 0.18219062042010062, 0.2331089129665204, 0.14064063718808104, 0.23076585788614173, 0.15947838891969507, -0.02726294126536622, 0.0598494925929996, 0.17438666496875901, 0.13789826237921596, -0.020500094515752774, -0.11584983374524999, 0.07788441264876883, 0.07491855748816574] |
711.0199 | Simulation of charge reversal in salty environments: Giant overcharging? | We have performed MD simulations of a highly charged colloid in a solution of
3:1 and additional 1:1 salt. The dependency of the colloid's inverted charge on
the concentration of the additional 1:1 salt has been studied. Most theories
predict, that the inverted charge increases when the concentration of
monovalent salt grows, up to what is called "giant overcharging", while
experiments and simulational studies observe the opposite. Our simulations
agree with the experimental findings and shed light onto the weaknesses of the
theories.
| cond-mat.soft | we have performed md simulations of a highly charged colloid in a solution of 31 and additional 11 salt the dependency of the colloids inverted charge on the concentration of the additional 11 salt has been studied most theories predict that the inverted charge increases when the concentration of monovalent salt grows up to what is called giant overcharging while experiments and simulational studies observe the opposite our simulations agree with the experimental findings and shed light onto the weaknesses of the theories | [['we', 'have', 'performed', 'md', 'simulations', 'of', 'a', 'highly', 'charged', 'colloid', 'in', 'a', 'solution', 'of', '31', 'and', 'additional', '11', 'salt', 'the', 'dependency', 'of', 'the', 'colloids', 'inverted', 'charge', 'on', 'the', 'concentration', 'of', 'the', 'additional', '11', 'salt', 'has', 'been', 'studied', 'most', 'theories', 'predict', 'that', 'the', 'inverted', 'charge', 'increases', 'when', 'the', 'concentration', 'of', 'monovalent', 'salt', 'grows', 'up', 'to', 'what', 'is', 'called', 'giant', 'overcharging', 'while', 'experiments', 'and', 'simulational', 'studies', 'observe', 'the', 'opposite', 'our', 'simulations', 'agree', 'with', 'the', 'experimental', 'findings', 'and', 'shed', 'light', 'onto', 'the', 'weaknesses', 'of', 'the', 'theories']] | [-0.10221797305563218, 0.1612650685865118, -0.05216799207390791, 0.049225708117697345, 0.006490537784544818, -0.18203370896987167, 0.061341043927774105, 0.3556559707924544, -0.1607304348916107, -0.34631258348025473, 0.0690449946714251, -0.35656894505562553, -0.14176459638514075, 0.13554784051333385, 0.014336424756301454, -0.005011920249145703, 0.020670411320044154, -0.007881131943270385, -0.08859200117245586, -0.2241760466068265, 0.22159173251241895, 0.058784295636487294, 0.27521801631650833, 0.11551639021946544, 0.07973287259621253, -0.04710397974402834, -0.01792301431702203, 0.06556449074814298, -0.1614032411441685, 0.08383662214345601, 0.17907224825572177, 0.026842134575505393, 0.21502065073968057, -0.45493791584508964, -0.22862485400120536, 0.042514991884804273, 0.15010484588523226, 0.1383977897285697, -0.15664046135007303, -0.245370791551758, 0.07559906828065728, -0.12209318008228957, -0.15902985751359577, -0.031451437599867224, 0.0031819059232990428, 0.08117592984990003, -0.24217436780188098, 0.08522799186947116, 0.023752835144412267, 0.05117505601697029, -0.10117078141915242, -0.17765666586094458, -0.07639158710960793, 0.11658254259228089, 0.12857182928450764, 0.015937856802469993, 0.21820896069508, -0.1335021513472143, -0.07990060867853911, 0.35850686889635514, -0.07808198061132107, -0.17822221774293714, 0.22451653090271964, -0.18743399481277867, -0.11839440068775642, 0.16217990782874894, 0.11454219755952258, 0.12218910006312542, -0.10548426047986491, 0.07436107138118493, -0.08576738484293582, 0.2222730732377035, 0.0853419234746147, -0.033468528241143526, 0.2305982114455427, 0.2056256587061672, -0.00383730814511697, 0.1284256553703762, -0.11623992494599197, -0.11931504226704857, -0.18390630959836116, -0.1783598473867828, -0.16127029032424003, 0.01192346259570086, -0.11770806562506834, -0.1363452203818653, 0.35528291246842547, 0.15644582097049725, 0.18243948047060565, 0.0029019742014716908, 0.21250435999448758, 0.02807113525586719, 0.0793458500776036, -0.013256148945719722, 0.29098451283973564, 0.12308135294041271, 0.1641873687488891, -0.3047286410569157, 0.045256012941273044, -0.010024496651512671] |
711.02 | SUSY in the Light of B Physics and Electroweak Precision Observables | Indirect information about the possible scale of supersymmetry (SUSY)
breaking can be obtained from the comparison of precisely measured observables
(and also of exclusion limits) with accurate theory predictions incorporating
SUSY loop corrections. Recent results are reviewed obtained from a combined
analysis of the most sensitive electroweak precision observables (EWPO), M_W,
sin^2_theta^eff, Gamma_Z, (g-2)_\mu and M_h, and B-physics observables (BPO),
BR(b -> s \gamma), BR(B_s -> \mu^+\mu^-), BR(B_u -> \tau \nu_\tau) and \Delta
M_{B_s}. Assuming that the lightest supersymmetric particle (LSP) provides the
cold dark matter density preferred by WMAP and other cosmological data, \chi^2
fits are performed to the parameters of the constrained minimal supersymmetric
extension of the Standard Model (CMSSM), in which the SUSY-breaking parameters
are universal at the GUT scale, and the non-universal Higgs model (NUHM), in
which this constraint is relaxed for the soft SUSY-breaking contributions to
the Higgs masses. Within the CMSSM indirect bounds on the mass of the lightest
CP-even Higgs boson are derived.
| hep-ph | indirect information about the possible scale of supersymmetry susy breaking can be obtained from the comparison of precisely measured observables and also of exclusion limits with accurate theory predictions incorporating susy loop corrections recent results are reviewed obtained from a combined analysis of the most sensitive electroweak precision observables ewpo m_w sin2_thetaeff gamma_z g2_mu and m_h and bphysics observables bpo brb s gamma brb_s mumu brb_u tau nu_tau and delta m_b_s assuming that the lightest supersymmetric particle lsp provides the cold dark matter density preferred by wmap and other cosmological data chi2 fits are performed to the parameters of the constrained minimal supersymmetric extension of the standard model cmssm in which the susybreaking parameters are universal at the gut scale and the nonuniversal higgs model nuhm in which this constraint is relaxed for the soft susybreaking contributions to the higgs masses within the cmssm indirect bounds on the mass of the lightest cpeven higgs boson are derived | [['indirect', 'information', 'about', 'the', 'possible', 'scale', 'of', 'supersymmetry', 'susy', 'breaking', 'can', 'be', 'obtained', 'from', 'the', 'comparison', 'of', 'precisely', 'measured', 'observables', 'and', 'also', 'of', 'exclusion', 'limits', 'with', 'accurate', 'theory', 'predictions', 'incorporating', 'susy', 'loop', 'corrections', 'recent', 'results', 'are', 'reviewed', 'obtained', 'from', 'a', 'combined', 'analysis', 'of', 'the', 'most', 'sensitive', 'electroweak', 'precision', 'observables', 'ewpo', 'm_w', 'sin2_thetaeff', 'gamma_z', 'g2_mu', 'and', 'm_h', 'and', 'bphysics', 'observables', 'bpo', 'brb', 's', 'gamma', 'brb_s', 'mumu', 'brb_u', 'tau', 'nu_tau', 'and', 'delta', 'm_b_s', 'assuming', 'that', 'the', 'lightest', 'supersymmetric', 'particle', 'lsp', 'provides', 'the', 'cold', 'dark', 'matter', 'density', 'preferred', 'by', 'wmap', 'and', 'other', 'cosmological', 'data', 'chi2', 'fits', 'are', 'performed', 'to', 'the', 'parameters', 'of', 'the', 'constrained', 'minimal', 'supersymmetric', 'extension', 'of', 'the', 'standard', 'model', 'cmssm', 'in', 'which', 'the', 'susybreaking', 'parameters', 'are', 'universal', 'at', 'the', 'gut', 'scale', 'and', 'the', 'nonuniversal', 'higgs', 'model', 'nuhm', 'in', 'which', 'this', 'constraint', 'is', 'relaxed', 'for', 'the', 'soft', 'susybreaking', 'contributions', 'to', 'the', 'higgs', 'masses', 'within', 'the', 'cmssm', 'indirect', 'bounds', 'on', 'the', 'mass', 'of', 'the', 'lightest', 'cpeven', 'higgs', 'boson', 'are', 'derived']] | [-0.05525112050982455, 0.26394775087455624, -0.03392263582477776, 0.23768076326292104, -0.11867179963678026, -0.2099313596263528, 0.04641106629293436, 0.2696234550900184, -0.19439043809782164, -0.3412170004433928, 0.049207241693810105, -0.2805986948108348, 0.05090186838657619, 0.158044119524465, 0.044311278605630666, 0.14340441281540103, 0.06841048749778658, -0.00392383974021635, -0.08469316077706679, -0.23033948202068225, 0.2377471597492098, 0.05353783096712178, 0.14052161640630892, 0.0796117502419899, 0.002701409731973679, -0.025350921869036168, -0.06800886076122808, -0.09917652900688924, -0.23280521372852, 0.11567746687199897, 0.17269397528994326, 0.09164742765745196, 0.01503950549223914, -0.2899722817580765, -0.1452044995698648, 0.19679121194908825, 0.12932337236065322, 0.03651405246450733, -0.015069492367985778, -0.3847897525052898, 0.07915496922363766, -0.20054843820607623, -0.05427226876744475, -0.06548832793337986, -0.07979482876805541, -0.18249095956502387, -0.3813628123905987, 0.17499002088506807, -0.12984854633657214, -0.006592366092193585, 0.007391246357096511, -0.22606023816833606, -0.13376181759984973, -0.038089231005869806, 0.2062779621203215, 0.008488320725378938, 0.25260831453338956, -0.20355918956472754, -0.1491888609934204, 0.4405934677268259, -0.10019866750987533, -0.1492097111260638, 0.10803543731946355, -0.1547365322177752, -0.2246238440543843, 0.11182087530286457, 0.14437831064107087, 0.04667072357533004, -0.1687680537907932, 0.28552137244006215, -0.05034890109508967, 0.19637137403986296, 0.04148461499388736, 0.06618532768558137, 0.28383974430676645, 0.20705711956729944, 0.04964500546264343, -0.03435252403253868, -0.0704570784403656, -0.09080283392037157, -0.4873926837283831, -0.05595650033827928, -0.05657217040126666, 0.01333404356951061, -0.14561637723687829, -0.04344009817428648, 0.3619667031885817, 0.13411937715211072, 0.2796189846017231, 0.07493052802060564, 0.31166252568483543, 0.06400753889913456, 0.08512833061813115, -0.020382848830941398, 0.3668906659825156, 0.13772678377781397, 0.07933906109358829, -0.24499427882405236, -0.02867804777596552, 0.06618403675160013] |
711.0201 | Decomposing p-groups via Jordan algebras | For finite p-groups P of class 2 and exponent p the following are invariants
of fully refined central decompositions of P: the number of members in the
decomposition, the multiset of orders of the members, and the multiset of
orders of their centers. Unlike for direct product decompositions, Aut P is not
always transitive on the set of fully refined central decompositions, and the
number of orbits can in fact be any positive integer. The proofs use the
standard semi-simple and radical structure of Jordan algebras. These algebras
also produce useful criteria for a p-group to be centrally indecomposable.
| math.GR math.RA | for finite pgroups p of class 2 and exponent p the following are invariants of fully refined central decompositions of p the number of members in the decomposition the multiset of orders of the members and the multiset of orders of their centers unlike for direct product decompositions aut p is not always transitive on the set of fully refined central decompositions and the number of orbits can in fact be any positive integer the proofs use the standard semisimple and radical structure of jordan algebras these algebras also produce useful criteria for a pgroup to be centrally indecomposable | [['for', 'finite', 'pgroups', 'p', 'of', 'class', '2', 'and', 'exponent', 'p', 'the', 'following', 'are', 'invariants', 'of', 'fully', 'refined', 'central', 'decompositions', 'of', 'p', 'the', 'number', 'of', 'members', 'in', 'the', 'decomposition', 'the', 'multiset', 'of', 'orders', 'of', 'the', 'members', 'and', 'the', 'multiset', 'of', 'orders', 'of', 'their', 'centers', 'unlike', 'for', 'direct', 'product', 'decompositions', 'aut', 'p', 'is', 'not', 'always', 'transitive', 'on', 'the', 'set', 'of', 'fully', 'refined', 'central', 'decompositions', 'and', 'the', 'number', 'of', 'orbits', 'can', 'in', 'fact', 'be', 'any', 'positive', 'integer', 'the', 'proofs', 'use', 'the', 'standard', 'semisimple', 'and', 'radical', 'structure', 'of', 'jordan', 'algebras', 'these', 'algebras', 'also', 'produce', 'useful', 'criteria', 'for', 'a', 'pgroup', 'to', 'be', 'centrally', 'indecomposable']] | [-0.16367028282444943, 0.1056203789294067, -0.09652264614711807, 0.047989089452341725, -0.0778829902628051, -0.11251570201582378, 0.015131390145556494, 0.31666440465910867, -0.34124054059837805, -0.24986367975596827, 0.11083879060996225, -0.25447531052009026, -0.05980973063105002, 0.18710661041691448, -0.08980250199598194, -0.004059213251251765, 0.054879942259779484, 0.11986917853849291, -0.06790380897658943, -0.31416611318627014, 0.38248530188293167, -0.05743769867195174, 0.19698379702414526, 0.015058273299023359, 0.010901996127395617, 0.040259212762296125, -0.05238641088245192, 0.03569876775498304, -0.13509788739758383, 0.1286883585841743, 0.2960133425176445, 0.12012074742409767, 0.21578593621491407, -0.35502652711037436, -0.09710574651964837, 0.21825801136179102, 0.1663153803098307, 0.026104578644865088, -0.006545038498712309, -0.23576763349425311, 0.1834652662568848, -0.22037852231902305, -0.12693227915507224, -0.07434694089860928, 0.14897454313632816, 0.0156449805757012, -0.26655714177453627, 0.03375801859591673, 0.12970798372730818, 0.11700442804945539, -0.07063925119982374, -0.19523254330411102, -0.054545363133792026, 0.11128226708564343, -0.07969831151539704, -0.016400679236870597, 0.07928490457172045, -0.07413585336333273, -0.17179046187436942, 0.37553890768175174, 0.04084466723254835, -0.20455398898797506, 0.17596984632087476, -0.1926307742521543, -0.17757947977651098, 0.1414075283794617, 0.09687281670660307, 0.16708303562769986, -0.02621717714396484, 0.13007875048141512, -0.11597740616310727, 0.09263230598710402, 0.08429674292923976, 0.019136255804562206, 0.18071765937569617, 0.06503994492437652, 0.09080100784812009, 0.0945719503632963, 0.05385859556863028, 0.01863125595234739, -0.33229975332741185, -0.1776973012355015, -0.13293043284140754, 0.07434328332454591, -0.1443473584835319, -0.17961975578406844, 0.4096309571065987, 0.059233671849160785, 0.13276004922961948, 0.0982884690255183, 0.2080381123932323, 0.07102784901905, 0.1270133548358798, 0.05933253025410302, 0.13653654211925137, 0.23565862181060243, -0.05687605765074341, -0.15402477178628546, 0.020858252519798098, 0.19348225672964495] |
711.0202 | Across and beyond the cell are peptide strings | Until presently, most approaches for understanding physiological or
pathological phenomena have been based on the assumption that these processes
start from individual cells, a concept introduced primarily by Virchow in the
19th century. Yet, it has also been increasingly recognized that this
perception is insufficient, at least when it comes to grasping the mechanisms
underlying largely incurable diseases such as metastatic cancer or rheumatoid
arthritis. Despite this insight, even recently founded disciplines such as
systems biology are still locked in this century-old mind-set of cellular
building blocks and thus predictably of limited usefulness. Other studies
conducted over the past years, however, suggest that there is something more
fundamental to life and its various conditions than the cell: peptide strings.
Here, I review the origin and nature of these sub- and trans-cellular elements
as well as their potential to provide the long-sought answers hitherto
inaccessible to cell biology.
| q-bio.SC q-bio.BM | until presently most approaches for understanding physiological or pathological phenomena have been based on the assumption that these processes start from individual cells a concept introduced primarily by virchow in the 19th century yet it has also been increasingly recognized that this perception is insufficient at least when it comes to grasping the mechanisms underlying largely incurable diseases such as metastatic cancer or rheumatoid arthritis despite this insight even recently founded disciplines such as systems biology are still locked in this centuryold mindset of cellular building blocks and thus predictably of limited usefulness other studies conducted over the past years however suggest that there is something more fundamental to life and its various conditions than the cell peptide strings here i review the origin and nature of these sub and transcellular elements as well as their potential to provide the longsought answers hitherto inaccessible to cell biology | [['until', 'presently', 'most', 'approaches', 'for', 'understanding', 'physiological', 'or', 'pathological', 'phenomena', 'have', 'been', 'based', 'on', 'the', 'assumption', 'that', 'these', 'processes', 'start', 'from', 'individual', 'cells', 'a', 'concept', 'introduced', 'primarily', 'by', 'virchow', 'in', 'the', '19th', 'century', 'yet', 'it', 'has', 'also', 'been', 'increasingly', 'recognized', 'that', 'this', 'perception', 'is', 'insufficient', 'at', 'least', 'when', 'it', 'comes', 'to', 'grasping', 'the', 'mechanisms', 'underlying', 'largely', 'incurable', 'diseases', 'such', 'as', 'metastatic', 'cancer', 'or', 'rheumatoid', 'arthritis', 'despite', 'this', 'insight', 'even', 'recently', 'founded', 'disciplines', 'such', 'as', 'systems', 'biology', 'are', 'still', 'locked', 'in', 'this', 'centuryold', 'mindset', 'of', 'cellular', 'building', 'blocks', 'and', 'thus', 'predictably', 'of', 'limited', 'usefulness', 'other', 'studies', 'conducted', 'over', 'the', 'past', 'years', 'however', 'suggest', 'that', 'there', 'is', 'something', 'more', 'fundamental', 'to', 'life', 'and', 'its', 'various', 'conditions', 'than', 'the', 'cell', 'peptide', 'strings', 'here', 'i', 'review', 'the', 'origin', 'and', 'nature', 'of', 'these', 'sub', 'and', 'transcellular', 'elements', 'as', 'well', 'as', 'their', 'potential', 'to', 'provide', 'the', 'longsought', 'answers', 'hitherto', 'inaccessible', 'to', 'cell', 'biology']] | [-0.03911611626753169, 0.13277805570914883, -0.05219710223083321, 0.08801227025863115, -0.10964953660652399, -0.14796863810146507, 0.06972365702736855, 0.36637207349979206, -0.2551928334482722, -0.28948731973690733, 0.15979410590737905, -0.24957413537338477, -0.24375724983210229, 0.22451344642418194, -0.10892073711546214, 0.03135570773275965, 0.04366742311785483, 0.02987785827331022, 0.049559811819089604, -0.2595935690484635, 0.25754275513423786, 0.07062489431900011, 0.29408314780249223, 0.07234832179279717, 0.09275223105214536, -0.058007193413524796, -0.04425548290521264, -0.010916114995281582, -0.09737998759209567, 0.11096150337236818, 0.3336887993939119, 0.2026600560766632, 0.3505977008440723, -0.4803564366438005, -0.30256649488519416, 0.1131823684650231, 0.1933245545736361, 0.10414406351788186, -0.05404655551125235, -0.24560821829491283, 0.08505301952181855, -0.13244118511338707, -0.10881111014009237, -0.06214175923657285, 0.07685968066782575, -0.019506127969840262, -0.13686591995942202, 0.04293579965800347, 0.07259568649468535, 0.13628317135041706, -0.044568488938089665, -0.16887969274092976, 0.00039587240133511084, 0.19947315293323561, 0.11372433783652337, 0.03126865642604559, 0.1471733009213046, -0.16148670722749595, -0.14459406309250794, 0.4086001025232142, 0.07437978621541558, -0.13404122887542855, 0.2992055368855315, -0.14151329761219517, -0.15648938232174858, 0.09949110137746822, 0.1273358297460132, 0.07805429037647603, -0.20515224891796482, 0.021338274627477442, -0.00033538972588944925, 0.13398697383523192, 0.09639300169480633, 0.06365795083637413, 0.25397489768491216, 0.23099446305143967, -4.4124186587558216e-05, 0.014139789472771043, -0.018819384648439106, -0.11505068697143754, -0.18399307103062126, -0.13276257523780446, -0.142495059538218, 0.07290986585765695, 0.027748133403915683, -0.16301259525002249, 0.34100649275255634, 0.16670953903079339, 0.15757063614867933, -0.01024109381370642, 0.28818707944576516, 0.017905814583933186, 0.1162562883994861, -0.0048495343414275615, 0.22557387031512718, 0.09969693076101527, 0.12484884829091368, -0.15834899648803938, 0.16491987137283415, 0.006322746053465629] |
711.0203 | Implications of final state interactions in B-decays | I give a brief review of final state interactions (FSI) in heavy meson
decays, paying particular attention to B-meson physics. Available theoretical
methods for dealing with the effects of FSI are discussed.
| hep-ph | i give a brief review of final state interactions fsi in heavy meson decays paying particular attention to bmeson physics available theoretical methods for dealing with the effects of fsi are discussed | [['i', 'give', 'a', 'brief', 'review', 'of', 'final', 'state', 'interactions', 'fsi', 'in', 'heavy', 'meson', 'decays', 'paying', 'particular', 'attention', 'to', 'bmeson', 'physics', 'available', 'theoretical', 'methods', 'for', 'dealing', 'with', 'the', 'effects', 'of', 'fsi', 'are', 'discussed']] | [-0.03811510572995758, 0.21453357790596783, -0.05706993194507959, 0.16066642466466874, -0.11854364140890539, -0.2215119865577435, -0.021947273937257705, 0.3222877545049414, -0.15720294890343212, -0.17741928028408438, -0.010560339116636897, -0.3625703437428456, 0.013455240376060829, 0.11012344690971076, 0.00485335398116149, 0.08051451944629662, 0.23343496871530078, 0.012927762465551496, -0.10056777510908432, -0.23955060122534633, 0.3305252022109926, -0.01543945012599579, 0.1845469640538795, 0.16530820884509012, -0.05750076376716606, 0.05929979203210678, -0.139454435557127, -0.03323105233721435, -0.18040199784445576, 0.07254256174201146, 0.29510295231011696, 0.10477381537202746, 0.2339231114310678, -0.4600658540148288, -0.12340138446597848, 0.04323044020566158, 0.13749373442260548, 0.21566510037519038, -0.16522242728387937, -0.37029675813391805, -0.019942629587603733, -0.25784433384251315, -0.0594191357758973, -0.1620944774331292, 0.0588714228142635, -0.022978657216299325, -0.2776479439926334, 0.044844657473731786, -0.030889999681676272, 0.04926066525513306, -0.0058985657669836655, -0.33875810558674857, 0.06278004730120301, 0.0591319293162087, 0.191078357223887, 0.05672672080982011, 0.09396721184020862, -0.2331767508003395, -0.12082617313717492, 0.4957399838604033, 0.03770144860027358, -0.21895361071801744, 0.15587342628350598, -0.11745979975967202, -0.17849030358775053, 0.11485933617223054, 0.2828102328348905, 0.05243456148309633, -0.17118830802792218, 0.14364317775471136, 0.03182122786529362, 0.07798512907174882, -0.05261566235276405, 0.15652460281125968, 0.11432407860411331, 0.2808456477287109, -0.13995730032911524, 0.08490471739787608, -0.02318078758980846, -0.16743582615163177, -0.42749306512996554, -0.04761192272417247, -0.058831300120800734, 0.010625025839544833, 0.034625933520146646, -0.12206331343622878, 0.3989339380059391, 0.11363922743475996, 0.22147180960746482, -0.049959570344071835, 0.3318737723166123, 0.01021657872479409, -0.059911412303335965, 0.018477854027878493, 0.3569175758748315, 0.20421301911119372, 0.19292306585703045, -0.2700476909521967, 0.053138764371396974, 0.05690767775377026] |
711.0204 | Ukrainian Synchronous Network of small Internet Telescopes as rapid
action instrument for transient objects | UNIT (The Ukrainian synchronous Network of small Internet Telescopes) is a
system of automated telescopes that search for simultaneous optical activity of
transient objects associated with variable stars, small bodies of the Solar
system, Near-Earth objects (NEOs), gamma ray bursts, etc. Their instruments are
sensitive down to $M_{V} \approx 18$ and require an average of 60 seconds to
obtain the first images of the transient events after the alarm or GCN notice.
Telescopes of UNIT are equipped with fast CCD cameras to study astrophysics on
the timescales up to tens Hz. UNIT will be operating by the middle of 2008.
| astro-ph | unit the ukrainian synchronous network of small internet telescopes is a system of automated telescopes that search for simultaneous optical activity of transient objects associated with variable stars small bodies of the solar system nearearth objects neos gamma ray bursts etc their instruments are sensitive down to m_v approx 18 and require an average of 60 seconds to obtain the first images of the transient events after the alarm or gcn notice telescopes of unit are equipped with fast ccd cameras to study astrophysics on the timescales up to tens hz unit will be operating by the middle of 2008 | [['unit', 'the', 'ukrainian', 'synchronous', 'network', 'of', 'small', 'internet', 'telescopes', 'is', 'a', 'system', 'of', 'automated', 'telescopes', 'that', 'search', 'for', 'simultaneous', 'optical', 'activity', 'of', 'transient', 'objects', 'associated', 'with', 'variable', 'stars', 'small', 'bodies', 'of', 'the', 'solar', 'system', 'nearearth', 'objects', 'neos', 'gamma', 'ray', 'bursts', 'etc', 'their', 'instruments', 'are', 'sensitive', 'down', 'to', 'm_v', 'approx', '18', 'and', 'require', 'an', 'average', 'of', '60', 'seconds', 'to', 'obtain', 'the', 'first', 'images', 'of', 'the', 'transient', 'events', 'after', 'the', 'alarm', 'or', 'gcn', 'notice', 'telescopes', 'of', 'unit', 'are', 'equipped', 'with', 'fast', 'ccd', 'cameras', 'to', 'study', 'astrophysics', 'on', 'the', 'timescales', 'up', 'to', 'tens', 'hz', 'unit', 'will', 'be', 'operating', 'by', 'the', 'middle', 'of', '2008']] | [-0.14685237426310777, 0.1825186524599849, 0.02254310463555157, 0.061936998130986465, -0.08805361221544444, -0.10121895427349954, 0.09064293258299586, 0.4171187455020845, -0.2175548848696053, -0.41574839654844253, 0.15119896521791815, -0.3303249484859407, -0.05247865389334038, 0.2882266347995028, -0.12256969884037971, 0.02315820991061628, 0.16788813517428935, 0.003413414475508034, -0.02408532188506797, -0.24602429940365256, 0.2042373341950588, 0.12073837619973346, 0.15616873933002354, -0.07956031934823841, 0.1379336231306661, -0.043135680401464926, -0.06413169160485267, -0.0749667570379097, -0.05782440092683828, 0.08307758466806263, 0.23959211780689657, 0.13095947308000178, 0.22766445280984043, -0.42260318499291316, -0.17664996574632824, 0.0861730000609532, 0.09040416670497507, -0.0683686874853447, 0.024627870152471587, -0.3249144698213786, 0.08394092256203294, -0.17478084482252598, -0.15685885809594766, 0.03467131647281349, 0.10088869336177594, 0.10384799603838474, -0.2072350098111201, 0.034634683994809165, -0.015311192185909022, 0.10133681434905156, -0.10079385218909011, -0.051310524058062586, 0.03070812064455822, 0.15687278037657962, 0.03130719812586904, 0.04718983734259382, 0.16738930696621537, -0.11356583682820201, -0.08035628057084977, 0.39140807966701685, -0.037019038592698054, -0.0061038882797583936, 0.19017966196406633, -0.20279194828122854, -0.13022848481778054, 0.21202910475432873, 0.23954938730224967, 0.1522499057929963, -0.19266005031764508, 0.007575285374769009, 0.026914834670023993, 0.2133148522861302, 0.0673267725110054, 0.06654248461709358, 0.2584268749412149, 0.19906402392312883, 0.08841723483987153, 0.09262822833727113, -0.26754167875566054, 0.02263980676420033, -0.2322059724153951, -0.12262866814620793, -0.13542088423855603, 0.09013873440213502, -0.09503119179033093, -0.13577452339042792, 0.36950805826112626, 0.12364749107509851, 0.15641303868964315, 0.04259270428214222, 0.2800136329326779, 0.028655220605432987, 0.16245236815651878, 0.05564974333858117, 0.2964579172618687, 0.057904497075360266, 0.1695824854215607, -0.14711428741458804, 0.022554053654894234, 0.006890294323675335] |
711.0205 | Fractal dimension of domain walls in the Edwards-Anderson spin glass
model | We study directly the length of the domain walls (DW) obtained by comparing
the ground states of the Edwards-Anderson spin glass model subject to periodic
and antiperiodic boundary conditions. For the bimodal and Gaussian bond
distributions, we have isolated the DW and have calculated directly its fractal
dimension $d_f$. Our results show that, even though in three dimensions $d_f$
is the same for both distributions of bonds, this is clearly not the case for
two-dimensional (2D) systems. In addition, contrary to what happens in the case
of the 2D Edwards-Anderson spin glass with Gaussian distribution of bonds, we
find no evidence that the DW for the bimodal distribution of bonds can be
described as a Schramm-Loewner evolution processes.
| cond-mat.stat-mech cond-mat.dis-nn | we study directly the length of the domain walls dw obtained by comparing the ground states of the edwardsanderson spin glass model subject to periodic and antiperiodic boundary conditions for the bimodal and gaussian bond distributions we have isolated the dw and have calculated directly its fractal dimension d_f our results show that even though in three dimensions d_f is the same for both distributions of bonds this is clearly not the case for twodimensional 2d systems in addition contrary to what happens in the case of the 2d edwardsanderson spin glass with gaussian distribution of bonds we find no evidence that the dw for the bimodal distribution of bonds can be described as a schrammloewner evolution processes | [['we', 'study', 'directly', 'the', 'length', 'of', 'the', 'domain', 'walls', 'dw', 'obtained', 'by', 'comparing', 'the', 'ground', 'states', 'of', 'the', 'edwardsanderson', 'spin', 'glass', 'model', 'subject', 'to', 'periodic', 'and', 'antiperiodic', 'boundary', 'conditions', 'for', 'the', 'bimodal', 'and', 'gaussian', 'bond', 'distributions', 'we', 'have', 'isolated', 'the', 'dw', 'and', 'have', 'calculated', 'directly', 'its', 'fractal', 'dimension', 'd_f', 'our', 'results', 'show', 'that', 'even', 'though', 'in', 'three', 'dimensions', 'd_f', 'is', 'the', 'same', 'for', 'both', 'distributions', 'of', 'bonds', 'this', 'is', 'clearly', 'not', 'the', 'case', 'for', 'twodimensional', '2d', 'systems', 'in', 'addition', 'contrary', 'to', 'what', 'happens', 'in', 'the', 'case', 'of', 'the', '2d', 'edwardsanderson', 'spin', 'glass', 'with', 'gaussian', 'distribution', 'of', 'bonds', 'we', 'find', 'no', 'evidence', 'that', 'the', 'dw', 'for', 'the', 'bimodal', 'distribution', 'of', 'bonds', 'can', 'be', 'described', 'as', 'a', 'schrammloewner', 'evolution', 'processes']] | [-0.09434796830291971, 0.17415245265455254, -0.09667253052279101, 0.07214953948179323, 0.013487927495280943, -0.1410152375998007, -0.005714408706052829, 0.42302903858155516, -0.2355136221464155, -0.21069383289728125, 0.08904341186527005, -0.27493991322373434, -0.12215909055607804, 0.13950467767328087, 0.04525453317121177, 0.052117316971308066, 0.01974075562241724, 0.0030871463102935736, -0.07506041010344496, -0.23260647652007765, 0.3297022495110977, -0.051181413539117045, 0.32138978553564934, 0.051169423564037274, 0.022803884378429187, 0.029666185055433187, 0.07649593243880545, 0.023427382202313867, -0.1947779495677747, 0.058559035966705565, 0.15408207617415967, -0.004369950983515483, 0.15963890437447167, -0.43042288769541653, -0.2525125770569163, 0.10734950459830589, 0.17612537251532837, 0.11678653592401642, 0.0130877795666693, -0.27277953107841313, 0.0786005625613744, -0.13998441683065335, -0.18981022510867, -0.03274071507818871, 0.05597151662775521, 0.02643078367888801, -0.26364782119517105, 0.13012858596235766, 0.1279246320225835, 0.07579841851493564, -0.09248652795854545, -0.1248504314808396, -0.09540505800988146, 0.11573573136583791, 0.02783973914693441, 0.04232262112634351, 0.11649302162932453, -0.15777373135334544, -0.15788195212766276, 0.3783700133444962, -0.05061863330035013, -0.23401357541383655, 0.21672041517666588, -0.2258087151557586, -0.0959175654876409, 0.09501102838025949, 0.09372461537072846, 0.0834144384095098, -0.13290100721484524, 0.06529374341378077, -0.040923668926984264, 0.15205447256399351, 0.05614719347302186, -0.009029554752672439, 0.20825618485351866, 0.16083961037792643, 0.04181451724952687, 0.18948980704269577, -0.125958028563172, -0.15656159081796217, -0.2512690074173576, -0.1762830149303427, -0.2645864349265062, 0.025736904294763777, -0.11752404871170302, -0.17034495458148924, 0.3813307097110645, 0.13972148272382506, 0.20112071500428147, 0.05374453343664122, 0.17739690009551912, 0.11382302370364383, 0.05094703427768486, 0.051969625930878005, 0.196538563559258, 0.1207179055643915, 0.09301918599028457, -0.22633620425743067, 0.09105226244201284, -0.01795126667435644] |
711.0206 | Entropic Projections and Dominating Points | Generalized entropic projections and dominating points are solutions to
convex minimization problems related to conditional laws of large numbers. They
appear in many areas of applied mathematics such as statistical physics,
information theory, mathematical statistics, ill-posed inverse problems or
large deviation theory. By means of convex conjugate duality and functional
analysis, criteria are derived for their existence. Representations of the
generalized entropic projections are obtained: they are the ``measure
component" of some extended entropy minimization problem.
| math.PR math.FA | generalized entropic projections and dominating points are solutions to convex minimization problems related to conditional laws of large numbers they appear in many areas of applied mathematics such as statistical physics information theory mathematical statistics illposed inverse problems or large deviation theory by means of convex conjugate duality and functional analysis criteria are derived for their existence representations of the generalized entropic projections are obtained they are the measure component of some extended entropy minimization problem | [['generalized', 'entropic', 'projections', 'and', 'dominating', 'points', 'are', 'solutions', 'to', 'convex', 'minimization', 'problems', 'related', 'to', 'conditional', 'laws', 'of', 'large', 'numbers', 'they', 'appear', 'in', 'many', 'areas', 'of', 'applied', 'mathematics', 'such', 'as', 'statistical', 'physics', 'information', 'theory', 'mathematical', 'statistics', 'illposed', 'inverse', 'problems', 'or', 'large', 'deviation', 'theory', 'by', 'means', 'of', 'convex', 'conjugate', 'duality', 'and', 'functional', 'analysis', 'criteria', 'are', 'derived', 'for', 'their', 'existence', 'representations', 'of', 'the', 'generalized', 'entropic', 'projections', 'are', 'obtained', 'they', 'are', 'the', 'measure', 'component', 'of', 'some', 'extended', 'entropy', 'minimization', 'problem']] | [-0.06880434171034722, 0.09966657035310116, -0.12196327424853255, 0.22610234510227056, -0.09780205820540064, -0.1512209448326183, -0.005250921966140403, 0.29999354203525735, -0.4013834183447455, -0.2991201182288167, 0.1701858015194854, -0.3284487492637709, -0.15522480931586438, 0.20685254447284693, -0.1287663612257395, 0.1476149677396997, 0.03619411267573014, -0.014630539661371395, -0.10812564119757888, -0.2153280030102714, 0.2734475214996277, -0.05329687782183388, 0.2872752193238978, 0.03652517675838776, 0.09884172267476588, 0.012097240937261009, -0.05867128344375248, 0.1119552829661284, -0.13773925968531617, 0.20580319231713043, 0.3545740804892327, 0.2064840728003458, 0.311348629646665, -0.4225305218837763, -0.21933609988895783, 0.16485978667256668, 0.08758696131285672, 0.03783432986146133, -0.013694437496413133, -0.25292289356921654, 0.04349677120703027, -0.09920873959842873, -0.11790426732898739, -0.1301084719782107, -0.011567403789070485, 0.06581414130050689, -0.25007378094290433, 0.1533583106908114, 0.06313937853433584, 0.10817586003165496, -0.08480993378907442, -0.16606842001017771, 0.0191280586939109, 0.04421578625547945, 0.10185985088250354, -0.021526441800616386, 0.15310905488992207, -0.1212013581902475, -0.15773575394536907, 0.35341752484734906, 0.05221705227220235, -0.2778503130508685, 0.19360348793959833, -0.06668990615779828, -0.16140915432601774, 0.09300997450114473, 0.19210697070229799, 0.12712403127041302, -0.14528370071447602, 0.11869235814542901, -0.050935019046607376, 0.05938940259817939, 0.07608330031660826, 0.05053481904446686, 0.1758341137809973, 0.014471106598839947, 0.11920144592678346, 0.13094113745089425, -0.009183856012226132, -0.17367643519843878, -0.3399016370408629, -0.08555896462425344, -0.22595774230093843, 0.021767380269011483, -0.12213227418550032, -0.19534781004155152, 0.29826247215418045, 0.06499041991896536, 0.1202473167244247, 0.05939265597905768, 0.2025863574633963, 0.19140781239012108, 0.02365741368009223, 0.04166874480985203, 0.1967339505166532, 0.25010134454044564, 0.031517958188870626, -0.1378066087644057, 0.021170098689158055, 0.1556277247452128] |
711.0207 | Magnetic Correlations at Graphene Edges | Magnetic zigzag edges of graphene are considered as a basis for novel
spintronics devices despite the fact that no true long-range magnetic order is
possible in one dimension. We study the transverse and longitudinal
fluctuations of magnetic moments at zigzag edges of graphene from first
principles. We find a high value for the spin wave stiffness $D$ = 2100 meV
\AA$^2$ and a spin-collinear domain wall creation energy $E_dw$ = 114 meV
accompanied by low magnetic anisotropy. Above the crossover temperature $T_x
\approx$10 K the spin correlation length $\xi \propto T^{-1}$ limits the
long-range magnetic order to ~1 nm at 300 K while below $T_x$ it grows
exponentially with decreasing temperature. We discuss possible ways of
increasing the range of magnetic order and effects of edge roughness on it.
| cond-mat.mtrl-sci cond-mat.mes-hall | magnetic zigzag edges of graphene are considered as a basis for novel spintronics devices despite the fact that no true longrange magnetic order is possible in one dimension we study the transverse and longitudinal fluctuations of magnetic moments at zigzag edges of graphene from first principles we find a high value for the spin wave stiffness d 2100 mev aa2 and a spincollinear domain wall creation energy e_dw 114 mev accompanied by low magnetic anisotropy above the crossover temperature t_x approx10 k the spin correlation length xi propto t1 limits the longrange magnetic order to 1 nm at 300 k while below t_x it grows exponentially with decreasing temperature we discuss possible ways of increasing the range of magnetic order and effects of edge roughness on it | [['magnetic', 'zigzag', 'edges', 'of', 'graphene', 'are', 'considered', 'as', 'a', 'basis', 'for', 'novel', 'spintronics', 'devices', 'despite', 'the', 'fact', 'that', 'no', 'true', 'longrange', 'magnetic', 'order', 'is', 'possible', 'in', 'one', 'dimension', 'we', 'study', 'the', 'transverse', 'and', 'longitudinal', 'fluctuations', 'of', 'magnetic', 'moments', 'at', 'zigzag', 'edges', 'of', 'graphene', 'from', 'first', 'principles', 'we', 'find', 'a', 'high', 'value', 'for', 'the', 'spin', 'wave', 'stiffness', 'd', '2100', 'mev', 'aa2', 'and', 'a', 'spincollinear', 'domain', 'wall', 'creation', 'energy', 'e_dw', '114', 'mev', 'accompanied', 'by', 'low', 'magnetic', 'anisotropy', 'above', 'the', 'crossover', 'temperature', 't_x', 'approx10', 'k', 'the', 'spin', 'correlation', 'length', 'xi', 'propto', 't1', 'limits', 'the', 'longrange', 'magnetic', 'order', 'to', '1', 'nm', 'at', '300', 'k', 'while', 'below', 't_x', 'it', 'grows', 'exponentially', 'with', 'decreasing', 'temperature', 'we', 'discuss', 'possible', 'ways', 'of', 'increasing', 'the', 'range', 'of', 'magnetic', 'order', 'and', 'effects', 'of', 'edge', 'roughness', 'on', 'it']] | [-0.20098814010501853, 0.2943675888717056, 0.026051316584002168, 0.046649491302632094, -0.04763788246089548, -0.11807122243760479, 0.05334984858535112, 0.42294707441968576, -0.26761721832943813, -0.32439735990076785, 0.001771212258886191, -0.34699414766556214, -0.04961167189425656, 0.14152104417896932, 0.11234271275581763, 0.010969801096334345, -0.031574949241494614, 0.03901057887733692, -0.07830980511212218, -0.1783112972708685, 0.24586305775797912, 0.0275792544800049, 0.2872341951089246, 0.15164520283273997, 0.05410846720804416, -0.0010305840822270728, 0.11215389492581525, 0.029301039552101716, -0.2088216963903318, 0.011285928713660392, 0.21191288740743722, -0.1010636545787935, 0.22834400862218843, -0.3927759477602584, -0.17470368140539716, 0.04916223935368988, 0.13787187506917806, 0.0951990526269323, 0.010523758449828223, -0.22716306812233394, 0.11581893429337513, -0.12044632563132808, -0.1748291128295398, -0.051313192953193, 0.09415904923327385, -0.03145550652859836, -0.25582009635954384, 0.14886493688922317, 0.09074649233777549, 0.1133748053680248, -0.06658227374143844, -0.19029128314956786, -0.07470387896700274, 0.032629715547608656, 0.08835988071754515, 0.12410971976720565, 0.17724414210071757, -0.11665015113918806, -0.08981123954632379, 0.30768559467683115, -0.05198016193499493, -0.03934313407138226, 0.14413812363128517, -0.20961250266474155, -0.06077633707854335, 0.190794730913781, 0.11891417872781555, 0.08463001862493535, -0.07772204927020958, 0.08215626931840754, 0.04497338637780298, 0.19689683894541796, 0.09194390184434485, 0.07271268741793133, 0.24140768616075908, 0.18159186437592975, 0.09974940267894121, 0.11722733957012968, -0.1474154238159018, -0.0006505945662317413, -0.2621104975770568, -0.14383310017440218, -0.23321364706175196, 0.08181297369169659, -0.14202547768495388, -0.1481258363226458, 0.3747574390976557, 0.18017709430101345, 0.2163354419615297, 0.02122444862182001, 0.2586962956092542, 0.11299270535135524, 0.0861776648606691, 0.07399457756112078, 0.2029794596786064, 0.208176002670486, 0.15472202083938533, -0.2326416101025802, 0.039191385668273716, -0.02233710084923558] |
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