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711.2408 | Travelling waves for the Gross-Pitaevskii equation II | The purpose of this paper is to provide a rigorous mathematical proof of the
existence of travelling wave solutions to the Gross-Pitaevskii equation in
dimensions two and three. Our arguments, based on minimization under
constraints, yield a full branch of solutions, and extend earlier results,
where only a part of the branch was built. In dimension three, we also show
that there are no travelling wave solutions of small energy.
| math.AP | the purpose of this paper is to provide a rigorous mathematical proof of the existence of travelling wave solutions to the grosspitaevskii equation in dimensions two and three our arguments based on minimization under constraints yield a full branch of solutions and extend earlier results where only a part of the branch was built in dimension three we also show that there are no travelling wave solutions of small energy | [['the', 'purpose', 'of', 'this', 'paper', 'is', 'to', 'provide', 'a', 'rigorous', 'mathematical', 'proof', 'of', 'the', 'existence', 'of', 'travelling', 'wave', 'solutions', 'to', 'the', 'grosspitaevskii', 'equation', 'in', 'dimensions', 'two', 'and', 'three', 'our', 'arguments', 'based', 'on', 'minimization', 'under', 'constraints', 'yield', 'a', 'full', 'branch', 'of', 'solutions', 'and', 'extend', 'earlier', 'results', 'where', 'only', 'a', 'part', 'of', 'the', 'branch', 'was', 'built', 'in', 'dimension', 'three', 'we', 'also', 'show', 'that', 'there', 'are', 'no', 'travelling', 'wave', 'solutions', 'of', 'small', 'energy']] | [-0.16991548511598792, 0.03464387793626104, -0.1326235608796456, 0.05941539090126753, -0.09577455199988825, -0.07653432144517346, 0.03410430526128039, 0.2886005379658725, -0.17848437146915655, -0.2599498340061733, 0.14430090956988612, -0.2717396331618407, -0.17871324058089938, 0.20514071248471738, 0.008160091856760638, 0.05220489581780774, 0.08185426512999194, 0.03234687594938025, -0.06654876864049583, -0.2406753281397479, 0.37370678030420096, -0.04948421178851277, 0.25966068214204696, 0.07747747489234566, 0.11383793762485896, -0.04651823575674955, 0.006263865078134197, 0.019399287964084317, -0.17734590226370658, 0.13404792895806686, 0.22260091206324953, 0.13795195885468275, 0.2876833519765309, -0.47363695084516494, -0.21140887111957585, 0.08422604708134064, 0.15851065799527403, 0.15482881224847267, -0.06562374203100002, -0.2472070041777832, 0.08983349365714405, -0.12032373623390283, -0.18973497857472726, -0.033692782638328415, 0.01090381361011948, 0.07001508889453752, -0.24455156700153435, 0.06406910304670288, 0.08438813728945596, 0.027622243296355008, -0.1206973574481838, -0.11259394351259938, -0.007400475678566311, 0.05478034828224086, 0.10088021254632622, -0.006968650035560131, -0.004136870049738458, -0.11044324240979872, -0.10344931613321283, 0.35299275687097437, -0.07341380117660655, -0.2607296533084342, 0.22904254438555136, -0.10087633528414049, -0.12111395728840892, 0.15125956412438038, 0.1510693993685501, 0.14211227505334786, -0.16077846123703887, 0.09174196187772655, -0.07784650276506519, 0.18994056917726992, 0.11387271345593035, 0.007918767223600298, 0.11371072619887335, 0.1811946022191218, 0.10689776823190707, 0.13082674280407705, -0.0418800668890721, -0.12374273811333945, -0.35926641353539057, -0.15162238203255193, -0.16015779583581857, 0.03509742600103242, -0.040830300521754126, -0.1759974486194551, 0.42046830693725495, 0.14096828205510975, 0.16509487985500268, 0.0932427341251501, 0.2658811838233045, 0.1465066744829528, -0.00025533647941691534, 0.08432700347288379, 0.29749279459938405, 0.11904104659333825, 0.09588416517446084, -0.16490789260715247, -0.038270713734839645, 0.11408472074461835] |
711.2409 | Copulas: compatibility and Fr\'echet classes | We determine under which conditions three bivariate copulas are compatible,
viz. they are the bivariate marginals of the same trivariate copula, and, then,
construct the class of these copulas. In particular, the upper and lower bounds
for this class of trivariate copulas are determined.
| math.ST math.PR stat.TH | we determine under which conditions three bivariate copulas are compatible viz they are the bivariate marginals of the same trivariate copula and then construct the class of these copulas in particular the upper and lower bounds for this class of trivariate copulas are determined | [['we', 'determine', 'under', 'which', 'conditions', 'three', 'bivariate', 'copulas', 'are', 'compatible', 'viz', 'they', 'are', 'the', 'bivariate', 'marginals', 'of', 'the', 'same', 'trivariate', 'copula', 'and', 'then', 'construct', 'the', 'class', 'of', 'these', 'copulas', 'in', 'particular', 'the', 'upper', 'and', 'lower', 'bounds', 'for', 'this', 'class', 'of', 'trivariate', 'copulas', 'are', 'determined']] | [-0.04704618777825751, 0.09439607104286551, -0.08240397667131302, 0.19560921772922898, -0.057786941734692926, -0.15136919367465784, -0.02716992748901248, 0.43942427544177254, -0.24341265349225563, -0.22779826318252494, 0.15392914214118553, -0.20938862758603963, -0.06605623476207256, 0.2460168475623835, -0.04311119316315109, 0.1031788352093744, -0.07939132026777687, -0.00539360425054011, -0.09925830139069479, -0.3089796533723446, 0.35509414970874786, -0.007944782603193413, 0.2894470782273195, -0.047115919821821575, 0.09794491703029383, -0.052527975185181604, -0.07462490352124652, -0.05788812947205522, -0.2449808759106831, 0.1644458393142982, 0.2467954006834506, 0.14623519498854876, 0.1992807112083855, -0.3661538917909969, -0.12518161607228898, 0.2109350683379241, 0.0787584504049102, -0.007196637471100654, 0.06093639524822885, -0.26457352021878416, 0.038329996041614904, -0.1872711918337948, -0.10711298819462006, -0.10900314686692912, -0.013744833688675002, 0.13821578284048222, -0.4132696032016115, 0.08084330390292135, 0.11604783218353987, 0.0501665226970958, -0.03006106434093619, -0.2273496279323643, -0.02886918066492812, 0.0013923690739003096, 0.057592214669884095, -0.11510925071144645, 0.05317628100006418, -0.09741353302326222, -0.10204513484231112, 0.24447844854810022, -0.023382491220466116, -0.3031180517831341, 0.17421346718699418, -0.24552227814935826, -0.23158561502879654, 0.031647299580403014, 0.2175890050235797, 0.11394450257913294, -0.25320484599267895, 0.11652745532707988, -0.14419595116156747, 0.008724699347195301, 0.11608817939519543, 0.01616923127916049, 0.163042989178476, 0.035896575115409425, 0.10585018569095568, 0.19353065284138377, -0.07260054636704312, -0.09078579828862778, -0.3295277618718418, -0.12408364182126454, -0.20625283190218563, -0.07206231987484815, -0.2040044529124068, -0.24004547257473777, 0.43212181016464124, 0.1220116071424193, 0.19238135222853583, 0.17199502627375873, 0.12062970401761546, 0.1920655169100924, -0.026864104353907434, 0.09871978911740537, 0.1290280789306218, 0.16638863446529617, -0.06599846207113429, -0.032463565754534844, 0.20748492966363716, 0.05546534948304973] |
711.241 | Microscopic derivation of self-consistent equations of Anderson
localization in a disordered medium of finite size | We present a microscopic derivation of self-consistent equations of Anderson
localization in a disordered medium of finite size. The derivation leads to a
renormalized, position-dependent diffusion coefficient. The position dependence
of the latter is due to the position dependence of return probability in a
bounded medium.
| cond-mat.dis-nn cond-mat.mes-hall | we present a microscopic derivation of selfconsistent equations of anderson localization in a disordered medium of finite size the derivation leads to a renormalized positiondependent diffusion coefficient the position dependence of the latter is due to the position dependence of return probability in a bounded medium | [['we', 'present', 'a', 'microscopic', 'derivation', 'of', 'selfconsistent', 'equations', 'of', 'anderson', 'localization', 'in', 'a', 'disordered', 'medium', 'of', 'finite', 'size', 'the', 'derivation', 'leads', 'to', 'a', 'renormalized', 'positiondependent', 'diffusion', 'coefficient', 'the', 'position', 'dependence', 'of', 'the', 'latter', 'is', 'due', 'to', 'the', 'position', 'dependence', 'of', 'return', 'probability', 'in', 'a', 'bounded', 'medium']] | [-0.15850180540355327, 0.1548932753705784, -0.12264884953670528, 0.024362742847702262, -0.09100099501159528, -0.0955614144306468, 0.04906676145037636, 0.3097044079685989, -0.2536605320789892, -0.21503435611805838, -0.007484131366135957, -0.2924611745402217, -0.09802475077626498, 0.08831191030533417, -0.026130883913973103, 0.031081290014655046, -0.0153045316591211, 0.022794988249307094, -0.111254858986839, -0.15502012224422526, 0.28183354216162115, 0.06611937375577248, 0.26612127631011867, 0.13333702381983722, 0.1276736188598949, 0.07471378163798996, -0.036509205627700554, 0.06718208853398329, -0.1452327087501307, 0.08917471713578815, 0.1719327044632772, -0.05249512560017731, 0.27996844304320606, -0.38683976176316326, -0.23060684282656596, 0.03426606653501158, 0.16549489626903896, 0.1848526019603014, -0.04310623819575361, -0.2688673187867212, 0.009874350209113049, -0.19226473015631831, -0.24160013280545725, 0.03033956286051999, 0.08318277885732443, 0.036432121232475925, -0.26915238058680424, 0.16319277040336444, 0.07102087530833871, 0.035370959394166006, -0.10007076674019513, -0.04127236423285111, 0.015376346469249414, 0.120326948908927, -0.004693446630288077, -0.008546600745909887, 0.16014353767968714, -0.14733976702732238, -0.016760039044564346, 0.402068752957427, -0.11541821564669194, -0.24843312577223, 0.12135148674006695, -0.2150035717767542, -0.03455571777632703, 0.18475063481246648, 0.16633695232398485, 0.1172848850103986, -0.18544074237022712, 0.13386354809019552, -0.05590716474082159, 0.17451200256144386, 0.01449566081409221, 0.06036945725993618, 0.1321836740952795, 0.1784001236538524, 0.09811798996373039, 0.13261268464038553, -0.07187406722780156, -0.13564971866814987, -0.3425524653866887, -0.11110399847688235, -0.22832514710076476, 0.1226896753170244, -0.13159246525079335, -0.2723517400875647, 0.40832011300422577, 0.18377644123266573, 0.23970676318782827, 0.05776379208849824, 0.2319618907412919, 0.2174509292387444, -0.020220502401175705, 0.026928516023832817, 0.19526151974644998, 0.20885861264136824, 0.11113379693225674, -0.30787130059552903, 0.10350067918593793, 0.14258404105551206] |
711.2411 | Neural Synchronization and Cryptography | Neural networks can synchronize by learning from each other. In the case of
discrete weights full synchronization is achieved in a finite number of steps.
Additional networks can be trained by using the inputs and outputs generated
during this process as examples. Several learning rules for both tasks are
presented and analyzed. In the case of Tree Parity Machines synchronization is
much faster than learning. Scaling laws for the number of steps needed for full
synchronization and successful learning are derived using analytical models.
They indicate that the difference between both processes can be controlled by
changing the synaptic depth. In the case of bidirectional interaction the
synchronization time increases proportional to the square of this parameter,
but it grows exponentially, if information is transmitted in one direction
only. Because of this effect neural synchronization can be used to construct a
cryptographic key-exchange protocol. Here the partners benefit from mutual
interaction, so that a passive attacker is usually unable to learn the
generated key in time. The success probabilities of different attack methods
are determined by numerical simulations and scaling laws are derived from the
data. They show that the partners can reach any desired level of security by
just increasing the synaptic depth. Then the complexity of a successful attack
grows exponentially, but there is only a polynomial increase of the effort
needed to generate a key. Further improvements of security are possible by
replacing the random inputs with queries generated by the partners.
| cond-mat.dis-nn | neural networks can synchronize by learning from each other in the case of discrete weights full synchronization is achieved in a finite number of steps additional networks can be trained by using the inputs and outputs generated during this process as examples several learning rules for both tasks are presented and analyzed in the case of tree parity machines synchronization is much faster than learning scaling laws for the number of steps needed for full synchronization and successful learning are derived using analytical models they indicate that the difference between both processes can be controlled by changing the synaptic depth in the case of bidirectional interaction the synchronization time increases proportional to the square of this parameter but it grows exponentially if information is transmitted in one direction only because of this effect neural synchronization can be used to construct a cryptographic keyexchange protocol here the partners benefit from mutual interaction so that a passive attacker is usually unable to learn the generated key in time the success probabilities of different attack methods are determined by numerical simulations and scaling laws are derived from the data they show that the partners can reach any desired level of security by just increasing the synaptic depth then the complexity of a successful attack grows exponentially but there is only a polynomial increase of the effort needed to generate a key further improvements of security are possible by replacing the random inputs with queries generated by the partners | [['neural', 'networks', 'can', 'synchronize', 'by', 'learning', 'from', 'each', 'other', 'in', 'the', 'case', 'of', 'discrete', 'weights', 'full', 'synchronization', 'is', 'achieved', 'in', 'a', 'finite', 'number', 'of', 'steps', 'additional', 'networks', 'can', 'be', 'trained', 'by', 'using', 'the', 'inputs', 'and', 'outputs', 'generated', 'during', 'this', 'process', 'as', 'examples', 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711.2412 | Mechanical deformation of monocytic THP-1 cells : occurrence of two
seqential phases with differential sensitivity to metabolic inhibitors | Blood leukocytes can exhibit extensive morphological changes during their
passage through small capillary vessels. The human monocytic THP-1 cell line
was used to explore the metabolic dependence of these shape changes. Cells were
aspirated into micropipettes for determination of the rate of protrusion
formation. They were then released and the kinetics of morphological recovery
was studied. Results were consistent with Evans' model (Blood, 64 : 1028, 1984)
of a viscous liquid droplet surrounded by a tensile membrane. The estimated
values of cytoplasmic viscosity and membrane tension were 162 Pa.s and 0.0142
millinewton/m respectively. The influence of metabolic inhibitors on cell
mechanical behaviour was then studied : results strongly suggested that
deformation involved two sequential phases. The cell elongation rate measured
during the first 30 seconds following the onset of aspiration was unaffected by
azide, an inhibitor of energy production, and it was about doubled by
cytochalasin D, a microfilament inhibitor, and colchicine, a microtubule
inhibitor. However, during the following two minutes, deformation was almost
abolished in cells treated with azide and cytochalasin D, whereas the
protrusion of control cells exhibited about threefold length increase. It is
concluded that, although cells seemed to deform as passive objects, active
metabolic processes were required to allow extensive morphological changes
triggered by external forces.
| physics.bio-ph q-bio.SC | blood leukocytes can exhibit extensive morphological changes during their passage through small capillary vessels the human monocytic thp1 cell line was used to explore the metabolic dependence of these shape changes cells were aspirated into micropipettes for determination of the rate of protrusion formation they were then released and the kinetics of morphological recovery was studied results were consistent with evans model blood 64 1028 1984 of a viscous liquid droplet surrounded by a tensile membrane the estimated values of cytoplasmic viscosity and membrane tension were 162 pas and 00142 millinewtonm respectively the influence of metabolic inhibitors on cell mechanical behaviour was then studied results strongly suggested that deformation involved two sequential phases the cell elongation rate measured during the first 30 seconds following the onset of aspiration was unaffected by azide an inhibitor of energy production and it was about doubled by cytochalasin d a microfilament inhibitor and colchicine a microtubule inhibitor however during the following two minutes deformation was almost abolished in cells treated with azide and cytochalasin d whereas the protrusion of control cells exhibited about threefold length increase it is concluded that although cells seemed to deform as passive objects active metabolic processes were required to allow extensive morphological changes triggered by external forces | [['blood', 'leukocytes', 'can', 'exhibit', 'extensive', 'morphological', 'changes', 'during', 'their', 'passage', 'through', 'small', 'capillary', 'vessels', 'the', 'human', 'monocytic', 'thp1', 'cell', 'line', 'was', 'used', 'to', 'explore', 'the', 'metabolic', 'dependence', 'of', 'these', 'shape', 'changes', 'cells', 'were', 'aspirated', 'into', 'micropipettes', 'for', 'determination', 'of', 'the', 'rate', 'of', 'protrusion', 'formation', 'they', 'were', 'then', 'released', 'and', 'the', 'kinetics', 'of', 'morphological', 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'the', 'following', 'two', 'minutes', 'deformation', 'was', 'almost', 'abolished', 'in', 'cells', 'treated', 'with', 'azide', 'and', 'cytochalasin', 'd', 'whereas', 'the', 'protrusion', 'of', 'control', 'cells', 'exhibited', 'about', 'threefold', 'length', 'increase', 'it', 'is', 'concluded', 'that', 'although', 'cells', 'seemed', 'to', 'deform', 'as', 'passive', 'objects', 'active', 'metabolic', 'processes', 'were', 'required', 'to', 'allow', 'extensive', 'morphological', 'changes', 'triggered', 'by', 'external', 'forces']] | [-0.1067132363697832, 0.2061372005296218, -0.01361256153890636, 0.007450810506962603, -0.015401293349838474, -0.13104214040766948, 0.06938165204610858, 0.39241646674529806, -0.21028174463341512, -0.30705272042442383, 0.07939232029134362, -0.25351418718758106, -0.1805309395396673, 0.15582050439765358, -0.09308671466551903, 0.02213195096878846, 0.052600762379787315, -0.009766023989948558, 0.0430662588812638, -0.23298438188688056, 0.17272655811705967, 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711.2413 | Adjacency preserving mappings on real symmetric matrices | Let $S_{n}$ denote the space of all $n \times n$ real symmetric matrices. For
n=2 or n>2 we characterize maps F from $S_{n}$ to $S_{m}$ which preserve
adjacency, i.e. if rank(A-B)=1, then rank(F(A)-F(B))=1.
| math.RA math.MG | let s_n denote the space of all n times n real symmetric matrices for n2 or n2 we characterize maps f from s_n to s_m which preserve adjacency ie if rankab1 then rankfafb1 | [['let', 's_n', 'denote', 'the', 'space', 'of', 'all', 'n', 'times', 'n', 'real', 'symmetric', 'matrices', 'for', 'n2', 'or', 'n2', 'we', 'characterize', 'maps', 'f', 'from', 's_n', 'to', 's_m', 'which', 'preserve', 'adjacency', 'ie', 'if', 'rankab1', 'then', 'rankfafb1']] | [-0.13888503896305338, 0.20104858503327705, 0.037601467047352344, -0.029816220339853317, 0.034023669228190556, -0.1911764441174455, -0.025492957269307226, 0.3389113504672423, -0.279909256612882, -0.21404619327222463, 0.08895104903785978, -0.3760426235094201, -0.1269388550063013, 0.05250930622423766, -0.03878112655002042, -0.08816357194154989, -0.04213319103291724, 0.18965381645830348, -0.1871192361577414, -0.29642031803450664, 0.2951637515798211, -0.12330567825119942, 0.15665680589154363, -0.06403618321928661, 0.07550177682423964, 0.028375122070428915, 0.01122020569164306, -0.06563733851453435, -0.1448728002142161, 0.04832590708974749, 0.2651077714544954, 0.20892929437104613, 0.1402542726136744, -0.41946430085226893, -0.10335669982305262, 0.4178391446766909, 0.2253074733162066, -0.13870011819017236, 0.08598329294181895, -0.259397447691299, 0.18900140025652945, -0.09507239935919642, -0.09590204659616575, -0.030064436155953445, 0.19385805874480866, -0.03492871365597239, -0.4242102041025646, -0.028089042141800746, 0.06566716526867822, 0.036519190471153706, 0.030891961432644166, -0.2001304150908254, -0.14808160599204712, 0.14785991819371702, -0.060043994133593515, 0.03867246174195316, 0.06395715117105283, 0.00970713540300494, -0.04426613143004943, 0.40126244258135557, -0.051175519824028015, -0.2346033345820615, 0.007582824910059571, -0.2868194334732834, -0.1701742557779653, 0.09658787521766499, 0.11986570828594267, 0.22326639003586024, 0.02423058170825243, 0.2632371912477538, -0.14633595454506576, 0.1513461610993545, 0.1354625321982894, -0.013827952207066119, 0.10041546430875314, -0.06614412524504587, 0.15717792705981992, 0.1558603256562492, 0.043632356042508036, 0.04811498998606112, -0.3014213129354175, -0.12227153906133026, -0.24316933268346475, 0.24685682909330353, -0.22564084008627106, -0.1342340185365174, 0.3151889951986959, 0.06222294011968188, 0.2440681880852935, 0.20314259810038493, 0.12893562918179668, 0.03354832058539614, -0.006693155206448864, 0.1354835119273048, -0.11990693135885522, 0.2362749207240995, -0.14045528776478022, -0.19235288113850402, -0.036890825067530386, 0.18950301929726265] |
711.2414 | Superlattice Structures of Graphene based Nanoribbons | Based on first-principles calculations we predict that periodically repeated
junctions of armchair graphene nanoribbons of different widths form
superlattice structures. In these superlattice heterostructures the width and
the energy gap are modulated in real space and specific states are confined in
certain segments. Orientation of constituent nanoribbons, their width and
length, the symmetry of the junction are the structural parameters to engineer
electronic properties of these quantum structures. Not only the size
modulation, but also composition modulation, such as periodically repeated,
commensurate heterojunctions of BN and graphene honeycomb nanoribbons result in
a multiple quantum well structure. We showed that these graphene based quantum
structures can introduce novel concepts to design nanodevices.
| cond-mat.mes-hall | based on firstprinciples calculations we predict that periodically repeated junctions of armchair graphene nanoribbons of different widths form superlattice structures in these superlattice heterostructures the width and the energy gap are modulated in real space and specific states are confined in certain segments orientation of constituent nanoribbons their width and length the symmetry of the junction are the structural parameters to engineer electronic properties of these quantum structures not only the size modulation but also composition modulation such as periodically repeated commensurate heterojunctions of bn and graphene honeycomb nanoribbons result in a multiple quantum well structure we showed that these graphene based quantum structures can introduce novel concepts to design nanodevices | [['based', 'on', 'firstprinciples', 'calculations', 'we', 'predict', 'that', 'periodically', 'repeated', 'junctions', 'of', 'armchair', 'graphene', 'nanoribbons', 'of', 'different', 'widths', 'form', 'superlattice', 'structures', 'in', 'these', 'superlattice', 'heterostructures', 'the', 'width', 'and', 'the', 'energy', 'gap', 'are', 'modulated', 'in', 'real', 'space', 'and', 'specific', 'states', 'are', 'confined', 'in', 'certain', 'segments', 'orientation', 'of', 'constituent', 'nanoribbons', 'their', 'width', 'and', 'length', 'the', 'symmetry', 'of', 'the', 'junction', 'are', 'the', 'structural', 'parameters', 'to', 'engineer', 'electronic', 'properties', 'of', 'these', 'quantum', 'structures', 'not', 'only', 'the', 'size', 'modulation', 'but', 'also', 'composition', 'modulation', 'such', 'as', 'periodically', 'repeated', 'commensurate', 'heterojunctions', 'of', 'bn', 'and', 'graphene', 'honeycomb', 'nanoribbons', 'result', 'in', 'a', 'multiple', 'quantum', 'well', 'structure', 'we', 'showed', 'that', 'these', 'graphene', 'based', 'quantum', 'structures', 'can', 'introduce', 'novel', 'concepts', 'to', 'design', 'nanodevices']] | [-0.2376057701080467, 0.1796955228111967, -0.0038693012944464615, 0.009869946366666842, -0.051580214990420384, -0.1654965067366222, 0.0717405320610851, 0.5514721345525604, -0.32413881433171193, -0.2876444258433473, -0.022026712926490617, -0.25705833431870284, -0.21266579666586072, 0.16697611997684314, 0.035692541679652696, 0.10848315865606875, 0.044087372986633365, -0.10177456137833295, -0.08976333071100148, -0.20865317567058647, 0.2620720832109418, -0.012467909745897192, 0.32513389623984024, 0.08643546529735129, -0.0390882684601689, 0.0040443537794556976, 0.1379887887847249, 0.01507175854288738, -0.17911839155914988, 0.11671941713293645, 0.21184007677056635, -0.12148204679508601, 0.1817390213674354, -0.5367614098631583, -0.21542699566228432, -0.05615559297924241, 0.14446742367418902, 0.15995119930547033, -0.029064764475307283, -0.2914300541087213, 0.11323493995141608, -0.0994794716102046, -0.06750665870411238, -0.07082363671144924, -0.015329310049613317, 0.05618949860401519, -0.1515502906766267, 0.04175926163254583, 0.024304089818133024, 0.06294005431452722, -0.0919805064268813, -0.14671465187377572, -0.11147184868611663, 0.07145824290912699, -0.025749337179838, -0.053300746397727784, 0.2178913399856118, -0.09098532682479787, -0.16985933956698523, 0.3953388382823349, -0.010205829427955119, -0.15489987434970365, 0.13892424241209672, -0.13422935687399865, -0.08072570933297545, 0.09130697579517423, 0.12815424188266736, 0.07765079719257785, -0.12832355370948528, 0.07061664705366097, -0.035535042630644886, 0.1976410164162181, 0.142168966090508, 0.1586658772634896, 0.27003663299638814, 0.15688661357958442, 0.047833891530932336, 0.11432881415863563, -0.09559536107442435, -0.05661355422784549, -0.21564373679863927, -0.18579411865757392, -0.2121835337230214, 0.07783769168652414, -0.072380907266707, -0.2995309864363826, 0.4634256965023474, 0.11615888734344447, 0.20540422130678151, -0.04804389078069378, 0.2025968051223957, 0.10527191796184827, 0.10077671985443984, -0.011240501141360213, 0.17842759933272326, 0.1718338654001101, 0.049816636418974075, -0.22954761648449945, 0.06164369194743198, -0.02977433585905814] |
711.2415 | The QCD spin chain S matrix | Beisert et al. have identified an integrable SU(2,2) quantum spin chain which
gives the one-loop anomalous dimensions of certain operators in large N QCD. We
derive a set of nonlinear integral equations (NLIEs) for this model, and
compute the scattering matrix of the various (in particular, magnon)
excitations.
| hep-th | beisert et al have identified an integrable su22 quantum spin chain which gives the oneloop anomalous dimensions of certain operators in large n qcd we derive a set of nonlinear integral equations nlies for this model and compute the scattering matrix of the various in particular magnon excitations | [['beisert', 'et', 'al', 'have', 'identified', 'an', 'integrable', 'su22', 'quantum', 'spin', 'chain', 'which', 'gives', 'the', 'oneloop', 'anomalous', 'dimensions', 'of', 'certain', 'operators', 'in', 'large', 'n', 'qcd', 'we', 'derive', 'a', 'set', 'of', 'nonlinear', 'integral', 'equations', 'nlies', 'for', 'this', 'model', 'and', 'compute', 'the', 'scattering', 'matrix', 'of', 'the', 'various', 'in', 'particular', 'magnon', 'excitations']] | [-0.15418467472773045, 0.18498355945030198, -0.047571912330264844, 0.06441700118254327, -0.0721633196080802, -0.10674195995670743, -0.03648917460911131, 0.2607634965485583, -0.22329023850519056, -0.21985202825938663, 0.04236909339185028, -0.3155799932622661, -0.17251796303025912, 0.13972890658381706, 0.033353262018257133, 0.10254614672157913, -0.01919252550578676, 0.0133975736098364, -0.09206345825805329, -0.26272772477629286, 0.3109968652909932, -0.016058669719010748, 0.2365735088630269, 0.06703128295096879, 0.15449983038706705, 0.0651856872815794, -0.00811098973887662, -0.0770035683332632, -0.16542205779114738, 0.10651305401794768, 0.28242938181695837, -0.027318297477904707, 0.1004185265628621, -0.43602411650742096, -0.18619591290674484, 0.08671423016736905, 0.1932824886413679, 0.19059700785389092, 0.007439015646620343, -0.2983537958158801, 0.0013663035545808573, -0.23629172757500783, -0.19472081156951995, -0.13358095775765833, 0.043059075328831874, -0.07107477443059906, -0.27495992156521726, 0.06169294941355474, 0.048514193874628596, 0.048890002188272774, -0.0424526188968836, -0.13676268963414864, -0.02396559461825139, 0.05165552492447508, -0.006919856054688959, 0.0021369633808111153, 0.043114593892823905, -0.1469507435055372, -0.18003222664507726, 0.3115189633099362, -0.04586214209363485, -0.20663723077935478, 0.11082993330395159, -0.14875265313700461, -0.17973241813403243, 0.12019350846336845, 0.1513586728312172, 0.12339470201792817, -0.1963134053706502, 0.2544057782688469, -0.11607641225176242, 0.08169251746342827, 0.05338616810816651, 0.06024238114090016, 0.15627227067792168, 0.08513022892778584, 0.018183134617477965, 0.14961366277808943, -0.035764284592005424, -0.11613574277362204, -0.33381516733303823, -0.14949810722221932, -0.17759723631024826, 0.12323381003807299, -0.13605979394408982, -0.23928109928965569, 0.3648636753981312, 0.152269142749617, 0.19738506799330935, 0.04515796184083835, 0.15921448839556737, 0.2454433418051849, 0.06507694961813588, 0.06930158466760379, 0.19022781749178344, 0.21791521494742483, 0.08291623143789668, -0.3174824582529254, -0.0871858903459118, 0.17961855726510598] |
711.2416 | The magnetron instability in a pulsar's cylindrical electrosphere | (abridged) The physics of the pulsar magnetosphere remains poorly constrained
by observations. Little is known about their emission mechanism. Large vacuum
gaps probably exist, and a non-neutral plasma partially fills the neutron star
surroundings to form an electrosphere. We showed that the differentially
rotating equatorial disk in the pulsar's electrosphere is diocotron unstable
and that it tends to stabilise when relativistic effects are included. However,
when approaching the light cylinder, particle inertia becomes significant and
the electric drift approximation is violated. In this paper, we study the most
general instability, i.e. by including particle inertia effects, as well as
relativistic motions. This general non-neutral plasma instability is called the
magnetron instability. We linearise the coupled relativistic cold-fluid and
Maxwell equations. The non-linear eigenvalue problem for the perturbed
azimuthal electric field component is solved numerically. The spectrum of the
magnetron instability in a non-neutral plasma column confined between two
cylindrically conducting walls is computed for several cylindrical
configurations. For a pulsar electrosphere, no outer wall exists. In this case,
we allow for electromagnetic wave emission propagating to infinity. When the
self-field induced by the plasma becomes significant, it can first increase the
growth rate of the magnetron instability. However, equilibrium solutions are
only possible when the self-electric field, measured by the parameter $s_{\rm
e}$ and tending to disrupt the plasma configuration, is bounded to an upper
limit, $s_{\rm e,max}$. For $s_{\rm e}$ close to but smaller than this value
$s_{\rm e,max}$, the instability becomes weaker or can be suppressed as was the
case in the diocotron regime.
| astro-ph | abridged the physics of the pulsar magnetosphere remains poorly constrained by observations little is known about their emission mechanism large vacuum gaps probably exist and a nonneutral plasma partially fills the neutron star surroundings to form an electrosphere we showed that the differentially rotating equatorial disk in the pulsars electrosphere is diocotron unstable and that it tends to stabilise when relativistic effects are included however when approaching the light cylinder particle inertia becomes significant and the electric drift approximation is violated in this paper we study the most general instability ie by including particle inertia effects as well as relativistic motions this general nonneutral plasma instability is called the magnetron instability we linearise the coupled relativistic coldfluid and maxwell equations the nonlinear eigenvalue problem for the perturbed azimuthal electric field component is solved numerically the spectrum of the magnetron instability in a nonneutral plasma column confined between two cylindrically conducting walls is computed for several cylindrical configurations for a pulsar electrosphere no outer wall exists in this case we allow for electromagnetic wave emission propagating to infinity when the selffield induced by the plasma becomes significant it can first increase the growth rate of the magnetron instability however equilibrium solutions are only possible when the selfelectric field measured by the parameter s_rm e and tending to disrupt the plasma configuration is bounded to an upper limit s_rm emax for s_rm e close to but smaller than this value s_rm emax the instability becomes weaker or can be suppressed as was the case in the diocotron regime | [['abridged', 'the', 'physics', 'of', 'the', 'pulsar', 'magnetosphere', 'remains', 'poorly', 'constrained', 'by', 'observations', 'little', 'is', 'known', 'about', 'their', 'emission', 'mechanism', 'large', 'vacuum', 'gaps', 'probably', 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711.2417 | Diffuse interstellar medium and the formation of molecular clouds | (Abridged) The formation of molecular clouds (MCs) from the diffuse
interstellar gas appears to be a necessary step for star formation, as young
stars invariably occur within them. However, the mechanisms controlling the
formation of MCs remain controversial. In this contribution, we focus on their
formation in compressive flows driven by interstellar turbulence and
large-scale gravitational instability. Turbulent compression driven by
supernovae appears insufficient to explain the bulk of cloud and star
formation. Rather, gravity must be important at all scales, driving the
compressive flows that form both clouds and cores. Cooling and thermal
instability allow the formation of dense gas out of moderate, transonic
compressions in the warm diffuse gas, and drive turbulence into the dense
clouds. MCs may be produced by an overshoot beyond the thermal-pressure
equilibrium between the cold and warm phases of atomic gas, caused by some
combination of the ram pressure of compression and the self-gravity of the
compressed gas. In this case, properties of the clouds such as their mass,
mass-to-magnetic flux ratio, and total kinetic and gravitational energies are
in general time-variable quantities. MCs may never enter a quasi-equilibrium or
virial equilibrium state but rather continuously collapse to stars.
| astro-ph | abridged the formation of molecular clouds mcs from the diffuse interstellar gas appears to be a necessary step for star formation as young stars invariably occur within them however the mechanisms controlling the formation of mcs remain controversial in this contribution we focus on their formation in compressive flows driven by interstellar turbulence and largescale gravitational instability turbulent compression driven by supernovae appears insufficient to explain the bulk of cloud and star formation rather gravity must be important at all scales driving the compressive flows that form both clouds and cores cooling and thermal instability allow the formation of dense gas out of moderate transonic compressions in the warm diffuse gas and drive turbulence into the dense clouds mcs may be produced by an overshoot beyond the thermalpressure equilibrium between the cold and warm phases of atomic gas caused by some combination of the ram pressure of compression and the selfgravity of the compressed gas in this case properties of the clouds such as their mass masstomagnetic flux ratio and total kinetic and gravitational energies are in general timevariable quantities mcs may never enter a quasiequilibrium or virial equilibrium state but rather continuously collapse to stars | [['abridged', 'the', 'formation', 'of', 'molecular', 'clouds', 'mcs', 'from', 'the', 'diffuse', 'interstellar', 'gas', 'appears', 'to', 'be', 'a', 'necessary', 'step', 'for', 'star', 'formation', 'as', 'young', 'stars', 'invariably', 'occur', 'within', 'them', 'however', 'the', 'mechanisms', 'controlling', 'the', 'formation', 'of', 'mcs', 'remain', 'controversial', 'in', 'this', 'contribution', 'we', 'focus', 'on', 'their', 'formation', 'in', 'compressive', 'flows', 'driven', 'by', 'interstellar', 'turbulence', 'and', 'largescale', 'gravitational', 'instability', 'turbulent', 'compression', 'driven', 'by', 'supernovae', 'appears', 'insufficient', 'to', 'explain', 'the', 'bulk', 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711.2418 | Derivation of the postulates of quantum mechanics from the first
principles of scale relativity | Quantum mechanics is based on a series of postulates which lead to a very
good description of the microphysical realm but which have, up to now, not been
derived from first principles. In the present work, we suggest such a
derivation in the framework of the theory of scale relativity. After having
analyzed the actual status of the various postulates, rules and principles that
underlie the present axiomatic foundation of quantum mechanics (in terms of
main postulates, secondary rules and derived `principles'), we attempt to
provide the reader with an exhaustive view of the matter, by both gathering
here results which are already available in the literature, and deriving new
ones which complete the postulate list.
| quant-ph | quantum mechanics is based on a series of postulates which lead to a very good description of the microphysical realm but which have up to now not been derived from first principles in the present work we suggest such a derivation in the framework of the theory of scale relativity after having analyzed the actual status of the various postulates rules and principles that underlie the present axiomatic foundation of quantum mechanics in terms of main postulates secondary rules and derived principles we attempt to provide the reader with an exhaustive view of the matter by both gathering here results which are already available in the literature and deriving new ones which complete the postulate list | [['quantum', 'mechanics', 'is', 'based', 'on', 'a', 'series', 'of', 'postulates', 'which', 'lead', 'to', 'a', 'very', 'good', 'description', 'of', 'the', 'microphysical', 'realm', 'but', 'which', 'have', 'up', 'to', 'now', 'not', 'been', 'derived', 'from', 'first', 'principles', 'in', 'the', 'present', 'work', 'we', 'suggest', 'such', 'a', 'derivation', 'in', 'the', 'framework', 'of', 'the', 'theory', 'of', 'scale', 'relativity', 'after', 'having', 'analyzed', 'the', 'actual', 'status', 'of', 'the', 'various', 'postulates', 'rules', 'and', 'principles', 'that', 'underlie', 'the', 'present', 'axiomatic', 'foundation', 'of', 'quantum', 'mechanics', 'in', 'terms', 'of', 'main', 'postulates', 'secondary', 'rules', 'and', 'derived', 'principles', 'we', 'attempt', 'to', 'provide', 'the', 'reader', 'with', 'an', 'exhaustive', 'view', 'of', 'the', 'matter', 'by', 'both', 'gathering', 'here', 'results', 'which', 'are', 'already', 'available', 'in', 'the', 'literature', 'and', 'deriving', 'new', 'ones', 'which', 'complete', 'the', 'postulate', 'list']] | [-0.05720742221255305, 0.06546875038537987, -0.1577935203074895, 0.054898391683497624, -0.10004615860766378, -0.1002234015272577, 0.07578634771173177, 0.3078400799322167, -0.23087829495940743, -0.3440530133626327, 0.0836986472051398, -0.22827613503062005, -0.18190546143510988, 0.19774219448324934, -0.051574307622323776, 0.05365159634725544, 0.04627592348220662, 0.055447174346823135, -0.06406380838497766, -0.21762638498932638, 0.32245119605293693, 0.07382205591721717, 0.2697394061632904, 0.05295277696006514, 0.11391972591859642, -0.010827646470339647, -0.07020024045426719, 0.04183975707514789, -0.15910831360370453, 0.16745174831935558, 0.25126257421577286, 0.1959712918180293, 0.2529168304553705, -0.49781115675858895, -0.2170949059735245, 0.018965517712660647, 0.06429369522836702, 0.17262744396555654, -0.04823647142118967, -0.27691387399581485, 0.07590913779557891, -0.17786756521572583, -0.13396111128707255, -0.08600836598057428, -0.004150512379369345, -0.005348020269342795, -0.1802829614978942, 0.035809832713406146, 0.09237402492475792, 0.08451956165312179, -0.06360739196755057, -0.1272960741721206, 0.06235587805537667, 0.14185906739921533, 0.04639923977986749, -0.020608792133661437, 0.09316388547324159, -0.12325126337738515, -0.1683785831716297, 0.4517937544733286, -0.0034800500384178654, -0.1482960838856625, 0.16536012551835577, -0.12309144255464319, -0.19303500349533037, 0.0806219500353046, 0.10610240759480552, 0.11392901053427365, -0.21876171725432805, 0.0518011426345389, -0.045349134463447564, 0.126879602514111, 0.007378533623052825, 0.08909989846468871, 0.24648733113507001, 0.14084333406383942, -0.019562607661194713, 0.07910661393945137, 0.008100395751233887, -0.1749919711547936, -0.4057558875787875, -0.1527629240038644, -0.1521798503175699, 0.05927073507750877, -0.011893489943633602, -0.14818189751079852, 0.35299477759941383, 0.16863108317945794, 0.15354443901140194, 0.06534756606059341, 0.2641289485939618, 0.10278679526552502, 0.05808327981102248, 0.032721154311479164, 0.3049354145006309, 0.14602444675180998, 0.10118806487800361, -0.13632099990580424, 0.05199835633714523, 0.07417385307429679] |
711.2419 | Ornstein-Uhlenbeck Processes on Lie Groups | We consider Ornstein-Uhlenbeck processes (OU-processes) associated to
hypoelliptic diffusion processes on finite-dimensional Lie groups: let $
\mathcal{L} $ be a hypoelliptic, left-invariant ``sum of the squares''-operator
on a Lie group $ G $ with associated Markov process $ X $, then we construct
OU-processes by adding negative horizontal gradient drifts of functions $ U $.
In the natural case $ U(x) = - \log p(1,x) $, where $ p(1,x) $ is the density
of the law of $ X $ starting at identity $ e $ at time $ t =1 $ with respect to
the right-invariant Haar measure on $G$, we show the Poincar\'e inequality by
applying the Driver-Melcher inequality for ``sum of the squares'' operators on
Lie groups. The resulting Markov process is called the natural OU-process
associated to the hypoelliptic diffusion on $ G $.
We prove the global strong existence of these OU-type processes on $ G $
under an integrability assumption on $U$. The Poincar\'e inequality for a large
class of potentials $U$ is then shown by a perturbation technique. These
results are applied to obtain a hypoelliptic equivalent of standard results on
cooling schedules for simulated annealing on compact homogeneous spaces $M$.
| math.PR math.SP | we consider ornsteinuhlenbeck processes ouprocesses associated to hypoelliptic diffusion processes on finitedimensional lie groups let mathcall be a hypoelliptic leftinvariant sum of the squaresoperator on a lie group g with associated markov process x then we construct ouprocesses by adding negative horizontal gradient drifts of functions u in the natural case ux log p1x where p1x is the density of the law of x starting at identity e at time t 1 with respect to the rightinvariant haar measure on g we show the poincare inequality by applying the drivermelcher inequality for sum of the squares operators on lie groups the resulting markov process is called the natural ouprocess associated to the hypoelliptic diffusion on g we prove the global strong existence of these outype processes on g under an integrability assumption on u the poincare inequality for a large class of potentials u is then shown by a perturbation technique these results are applied to obtain a hypoelliptic equivalent of standard results on cooling schedules for simulated annealing on compact homogeneous spaces m | [['we', 'consider', 'ornsteinuhlenbeck', 'processes', 'ouprocesses', 'associated', 'to', 'hypoelliptic', 'diffusion', 'processes', 'on', 'finitedimensional', 'lie', 'groups', 'let', 'mathcall', 'be', 'a', 'hypoelliptic', 'leftinvariant', 'sum', 'of', 'the', 'squaresoperator', 'on', 'a', 'lie', 'group', 'g', 'with', 'associated', 'markov', 'process', 'x', 'then', 'we', 'construct', 'ouprocesses', 'by', 'adding', 'negative', 'horizontal', 'gradient', 'drifts', 'of', 'functions', 'u', 'in', 'the', 'natural', 'case', 'ux', 'log', 'p1x', 'where', 'p1x', 'is', 'the', 'density', 'of', 'the', 'law', 'of', 'x', 'starting', 'at', 'identity', 'e', 'at', 'time', 't', '1', 'with', 'respect', 'to', 'the', 'rightinvariant', 'haar', 'measure', 'on', 'g', 'we', 'show', 'the', 'poincare', 'inequality', 'by', 'applying', 'the', 'drivermelcher', 'inequality', 'for', 'sum', 'of', 'the', 'squares', 'operators', 'on', 'lie', 'groups', 'the', 'resulting', 'markov', 'process', 'is', 'called', 'the', 'natural', 'ouprocess', 'associated', 'to', 'the', 'hypoelliptic', 'diffusion', 'on', 'g', 'we', 'prove', 'the', 'global', 'strong', 'existence', 'of', 'these', 'outype', 'processes', 'on', 'g', 'under', 'an', 'integrability', 'assumption', 'on', 'u', 'the', 'poincare', 'inequality', 'for', 'a', 'large', 'class', 'of', 'potentials', 'u', 'is', 'then', 'shown', 'by', 'a', 'perturbation', 'technique', 'these', 'results', 'are', 'applied', 'to', 'obtain', 'a', 'hypoelliptic', 'equivalent', 'of', 'standard', 'results', 'on', 'cooling', 'schedules', 'for', 'simulated', 'annealing', 'on', 'compact', 'homogeneous', 'spaces', 'm']] | [-0.13656009659212434, 0.09735760139654454, -0.0546866791011468, 0.06309839275527554, -0.08594909628175375, -0.12193150986702396, 0.020517922505962294, 0.39396019883938793, -0.32977434219076085, -0.20086065372459028, 0.12031822532109542, -0.28984404076441855, -0.0891363163362946, 0.19955773399068186, -0.07813858179673111, 0.0033678079434510694, 0.04711432218243032, 0.1219476498112347, -0.0665753894477267, -0.22773311475357977, 0.3944242181002917, -0.030019221193647597, 0.21725842314937632, -0.0003362966239171312, 0.15292987358596552, -0.012585580616241552, -0.025651509727533224, -0.025339925729190194, -0.16230780223867383, 0.08736476747418297, 0.19819935795867585, 0.040083957225712535, 0.2781930657147744, -0.3740850180696101, -0.17839754368426533, 0.18004166189520537, 0.08851073083010387, -0.05462733439318615, -0.014734354194600863, -0.32763001738397196, 0.09029237745941435, -0.08269173389895869, -0.1405780966319254, -0.06587569077482679, 0.05681286574638939, 0.04058999566570718, -0.32806595883293616, 0.09290653576567416, 0.08554215745148992, 0.04540678572747305, -0.050522896062345765, -0.10654826308793482, -0.0490621422285203, 0.03169761187556756, -0.0055057722493074834, 0.05445809713316828, 0.1249676556987743, -0.022364668559128716, -0.1220184639812662, 0.3510039296585339, -0.13957226534577957, -0.25295044893960983, 0.14467840793559097, -0.1822888299784232, -0.18416647265593594, 0.09915065925193609, 0.17694365783710275, 0.16500428131425557, -0.11465336642498096, 0.18864930847648687, -0.06512883461418716, 0.06112075007393868, 0.040792278788388654, -0.04118412625411051, 0.07867623182542666, 0.11190270976516137, 0.17718045947489125, 0.09866970767316645, 0.002865389876684846, -0.03541034325432396, -0.37639803572808606, -0.1479548278633924, -0.16510037837009986, 0.18189930247925443, -0.1247245298351365, -0.15655431026346933, 0.32107015193947014, 0.08047444828146705, 0.17494941580373816, 0.12293560758574738, 0.1700291782562461, 0.16006785263748255, 0.04829264594691106, 0.08139914524129774, 0.09427090935111487, 0.22456324234268676, 0.037535130853637966, -0.1953563117201732, 0.030897201341990182, 0.17218843424422722] |
711.242 | Tidal Love numbers of neutron stars | For a variety of fully relativistic polytropic neutron star models we
calculate the star's tidal Love number k2. Most realistic equations of state
for neutron stars can be approximated as a polytrope with an effective index
n~0.5-1.0. The equilibrium stellar model is obtained by numerical integration
of the Tolman-Oppenheimer-Volkhov equations. We calculate the linear l=2 static
perturbations to the Schwarzschild spacetime following the method of Thorne and
Campolattaro. Combining the perturbed Einstein equations into a single second
order differential equation for the perturbation to the metric coefficient
g_tt, and matching the exterior solution to the asymptotic expansion of the
metric in the star's local asymptotic rest frame gives the Love number. Our
results agree well with the Newtonian results in the weak field limit. The
fully relativistic values differ from the Newtonian values by up to ~24%. The
Love number is potentially measurable in gravitational wave signals from
inspiralling binary neutron stars.
| astro-ph gr-qc | for a variety of fully relativistic polytropic neutron star models we calculate the stars tidal love number k2 most realistic equations of state for neutron stars can be approximated as a polytrope with an effective index n0510 the equilibrium stellar model is obtained by numerical integration of the tolmanoppenheimervolkhov equations we calculate the linear l2 static perturbations to the schwarzschild spacetime following the method of thorne and campolattaro combining the perturbed einstein equations into a single second order differential equation for the perturbation to the metric coefficient g_tt and matching the exterior solution to the asymptotic expansion of the metric in the stars local asymptotic rest frame gives the love number our results agree well with the newtonian results in the weak field limit the fully relativistic values differ from the newtonian values by up to 24 the love number is potentially measurable in gravitational wave signals from inspiralling binary neutron stars | [['for', 'a', 'variety', 'of', 'fully', 'relativistic', 'polytropic', 'neutron', 'star', 'models', 'we', 'calculate', 'the', 'stars', 'tidal', 'love', 'number', 'k2', 'most', 'realistic', 'equations', 'of', 'state', 'for', 'neutron', 'stars', 'can', 'be', 'approximated', 'as', 'a', 'polytrope', 'with', 'an', 'effective', 'index', 'n0510', 'the', 'equilibrium', 'stellar', 'model', 'is', 'obtained', 'by', 'numerical', 'integration', 'of', 'the', 'tolmanoppenheimervolkhov', 'equations', 'we', 'calculate', 'the', 'linear', 'l2', 'static', 'perturbations', 'to', 'the', 'schwarzschild', 'spacetime', 'following', 'the', 'method', 'of', 'thorne', 'and', 'campolattaro', 'combining', 'the', 'perturbed', 'einstein', 'equations', 'into', 'a', 'single', 'second', 'order', 'differential', 'equation', 'for', 'the', 'perturbation', 'to', 'the', 'metric', 'coefficient', 'g_tt', 'and', 'matching', 'the', 'exterior', 'solution', 'to', 'the', 'asymptotic', 'expansion', 'of', 'the', 'metric', 'in', 'the', 'stars', 'local', 'asymptotic', 'rest', 'frame', 'gives', 'the', 'love', 'number', 'our', 'results', 'agree', 'well', 'with', 'the', 'newtonian', 'results', 'in', 'the', 'weak', 'field', 'limit', 'the', 'fully', 'relativistic', 'values', 'differ', 'from', 'the', 'newtonian', 'values', 'by', 'up', 'to', '24', 'the', 'love', 'number', 'is', 'potentially', 'measurable', 'in', 'gravitational', 'wave', 'signals', 'from', 'inspiralling', 'binary', 'neutron', 'stars']] | [-0.13097803934083488, 0.1135969747260452, -0.1055126966820286, 0.08125694076243113, -0.13383066139165187, -0.05027997588907562, -0.008221372871365923, 0.24225617556413948, -0.21917647240611557, -0.32517775113775627, 0.04034235626662262, -0.314096029766604, -0.07686815038635927, 0.20023951464295137, -0.017417272677466948, 0.07324539603069331, 0.06311425023974739, 0.08581981316190088, -0.09603487451454537, -0.21654967822981436, 0.3590428311402766, 0.04256472625338391, 0.14548142770955327, -0.07594850711874514, 0.0805876433736826, -0.03027985397813804, -0.021779098619875693, 0.04642035166464196, -0.16545684251390497, 0.03269726913047317, 0.21154191451061352, 0.10430653335764103, 0.19992440512490572, -0.41252180183893883, -0.2201721658617658, 0.032238339661501796, 0.11513249468895913, 0.14682058495588152, -0.027193665784164864, -0.29776972055125783, 0.10146829653718828, -0.24035176373518152, -0.19584991385372694, -0.07299719475859763, 0.05243768645278585, 0.06796191248967744, -0.282689231929163, 0.10536458183469832, 0.05433534380382914, -0.018704950365694178, -0.16785470928040477, -0.09484105090330974, -0.015330787482452672, 0.08952087179238864, 0.08210089683123308, 0.05745064079661497, 0.10472899571298652, -0.1424003091418878, -0.0297099708160698, 0.42578843102521646, -0.15573498907486513, -0.2188053377263323, 0.11418100087059624, -0.21241121439125715, -0.070012703711392, 0.11422726485234429, 0.15398800532308551, 0.20338854863739653, -0.1517238120404666, 0.06663507205237253, 0.001155752541857534, 0.16891644849448195, 0.13092965959577552, -0.023716209700093572, 0.2649584588744746, 0.10023891190285701, -0.0017756067697683837, 0.0964840302086004, -0.10308782529123378, -0.10517337123532124, -0.303666859388003, -0.09458356920079697, -0.15773781598701872, 0.07109569502873705, -0.2105362951759821, -0.1619822591966668, 0.3355455461064441, 0.08549221779763598, 0.12052285849373012, 0.07054417738503457, 0.3038817913452751, 0.18131600241817458, 0.015581120591573168, 0.12582932078613956, 0.3325573706924415, 0.21951151074022804, 0.09692442743420202, -0.25994451835789817, 0.007139737461537322, 0.11631074797162073] |
711.2421 | Dynamical response function of the disordered kinetic Ising model | Recently Baumann et al. [arXiv:0709.3228v1] studied the phase-ordering
kinetics of the two-dimensional Ising model with uniform spatially quenched
disorder by Monte-Carlo simulations. They found that the two-time response and
correlation functions are in agreement with the predictions of local scale
invariance generalised to z!=2. The present paper shows why this is not true
and suggests an alternative approach which leads to a much better agreement
with the numerical results.
| cond-mat.stat-mech | recently baumann et al arxiv07093228v1 studied the phaseordering kinetics of the twodimensional ising model with uniform spatially quenched disorder by montecarlo simulations they found that the twotime response and correlation functions are in agreement with the predictions of local scale invariance generalised to z2 the present paper shows why this is not true and suggests an alternative approach which leads to a much better agreement with the numerical results | [['recently', 'baumann', 'et', 'al', 'arxiv07093228v1', 'studied', 'the', 'phaseordering', 'kinetics', 'of', 'the', 'twodimensional', 'ising', 'model', 'with', 'uniform', 'spatially', 'quenched', 'disorder', 'by', 'montecarlo', 'simulations', 'they', 'found', 'that', 'the', 'twotime', 'response', 'and', 'correlation', 'functions', 'are', 'in', 'agreement', 'with', 'the', 'predictions', 'of', 'local', 'scale', 'invariance', 'generalised', 'to', 'z2', 'the', 'present', 'paper', 'shows', 'why', 'this', 'is', 'not', 'true', 'and', 'suggests', 'an', 'alternative', 'approach', 'which', 'leads', 'to', 'a', 'much', 'better', 'agreement', 'with', 'the', 'numerical', 'results']] | [-0.056856337119825184, 0.11312817979919867, -0.11528479940641452, 0.09441110826617874, -0.013002098633852951, -0.1229903340949129, -0.009961684094057144, 0.38931788887609453, -0.1813093691221986, -0.3083061520660789, 0.022740722419899505, -0.2532716230763232, -0.20004586501882465, 0.16226574908325667, -0.0011011081720318865, 0.08302391883369316, 0.014746546978130937, -0.0635259192341062, -0.0894050760218627, -0.27208230863599214, 0.26558925117270143, 0.14882675148820615, 0.3407897190807168, 0.029109545805327156, 0.034196625552688015, -0.0027410560561453596, -0.04895935179528726, 0.07866581829319544, -0.19407388025961958, 0.07030865960576407, 0.17633050156291574, -0.02216465480844764, 0.22799967473153682, -0.4266759039669791, -0.24319360210724614, 0.0652613285175689, 0.1519453999627491, 0.14407886828206862, -0.07825728665064911, -0.2791875374010381, 0.05533715841524741, -0.16627856366582872, -0.16052206283133916, -0.0966341282131479, 0.0010699866380652085, 0.023960843091652563, -0.31534484701285903, 0.17610822191379746, 0.06192918058813495, 0.05374860202017076, -0.035958125987021694, -0.07246666450245197, -0.026529499747352126, 0.06158531629925539, 0.03679787236101487, 0.10125012190409881, 0.08016976544304806, -0.10439245425753624, -0.14581371315409128, 0.37357243443222937, -0.04722789540777311, -0.18121754011372104, 0.24865647658760495, -0.17027981278678292, -0.1353778906957493, 0.10702114672783543, 0.04516372376340715, 0.07847875425838591, -0.17363619539366268, 0.06596284467035302, -0.09234406284111388, 0.20385966663632324, -0.031612492075724086, -0.016656017405373005, 0.16878386465010836, 0.14036244219716856, -0.01424019316704396, 0.13054031406542943, -0.03127195588518482, -0.17963589233883848, -0.2419406818910776, -0.09701966991826125, -0.19275046133449958, 0.052463168562740865, -0.08432288704780684, -0.16446266198695145, 0.3561813376213917, 0.20202320344362626, 0.20884081107728622, 0.12504795564318022, 0.2167625350275022, 0.1259380883318098, 0.03331327156903332, 0.07025282254771274, 0.254077317794059, 0.14358856742996173, 0.11458692058701725, -0.23305070647449397, 0.08244076010990231, 0.05926993711139349] |
711.2422 | Comment on PRL 99,140402 (2007) "Excitations in a nonequilibrium Bose
Einstein Condensate of Exciton-polaritons" by M. Wouters and I. Carusotto | This comment has been withdrawn by the authors due to crucial error.
| cond-mat.mes-hall | this comment has been withdrawn by the authors due to crucial error | [['this', 'comment', 'has', 'been', 'withdrawn', 'by', 'the', 'authors', 'due', 'to', 'crucial', 'error']] | [-0.10384389199316502, -0.04201275451729695, -0.09428393619600683, 0.021920314010155078, -0.13053463151057562, -0.10401535872370005, 0.04254872196664413, 0.31799559605618316, -0.1808445112158855, -0.37671693538626033, 0.14339782406265536, -0.24938317916045585, -0.15493017698948583, 0.07864132601146896, -0.34866682812571526, 0.17001808124283949, 0.017294833436608315, -0.06792701687663794, -0.027349884466578562, -0.40370833466295153, 0.30882401826481026, 0.2616770099848509, 0.2881927452981472, 0.29236666291641694, 0.00864288272957007, -0.06304589880164713, -0.20322101765001813, -0.07722052031507094, -0.18550588532040516, 0.0679463455453515, 0.2182857661973685, -0.011208041202432165, 0.5012397952377796, -0.40797121566720307, -0.26142227354769904, 0.17587109693946937, 0.18918714703371128, 0.20078709224859873, -0.10122375609353185, -0.4370239159713189, 0.20130020659416914, -0.27360226555416983, -0.11968297034036368, -0.050687835862239204, 0.194003043230623, -0.09094203203373279, -0.048374726247857325, 0.09752474717485408, 0.1487713996320963, 0.11818146239966154, 0.10545614330718915, -0.22681303756932417, 0.05145493724072973, 0.19822671171277761, 0.31212081108242273, 0.14879926235880703, 0.012395660548160473, -0.031592743296641856, -0.11604744552945097, 0.3791948362874488, 0.0854561638746721, -0.23057281458750367, 0.0940882774690787, -0.04237852078707268, -0.11034619652976592, 0.16771499471118054, 0.13649629483309886, -0.012498652989355227, -0.23666605850060782, 0.23067610951450965, 0.013901777332648635, 0.18190438517679772, 0.1659853410286208, -0.010235197531680265, 0.1562267184878389, 0.16410838905721903, -0.030013754032552242, 0.16499016565891603, -0.03137967502698302, 0.016914352774620056, -0.1711423322558403, -0.15861464167634645, -0.2698561533276613, 0.0876349968990932, 0.1957525941543281, -0.051083012095962964, 0.3385229619840781, 0.276317002872626, 0.14523632634275904, -0.18168685709436735, 0.27162271924316883, 0.18982594234209196, 0.1276673994337519, 0.011944903060793877, 0.42148467525839806, 0.17100904169880474, 0.16287745519851646, -0.11744267772883177, 0.26064594524602097, 0.18689837716131782] |
711.2423 | Effects of the particle-particle channel on properties of low-lying
vibrational states | Making use of the finite rank separable approach for the quasiparticle random
phase approximation enables one to perform nuclear structure calculations in
very large two-quasiparticle spaces. The approach is extended to take into
account the residual particle-particle interaction. The calculations are
performed by using Skyrme interactions in the particle-hole channel and
density-dependent zero-range interactions in the particle-particle channel. To
illustrate our approach, we study the properties of the lowest quadrupole
states in the even-even nuclei $^{128}$Pd, $^{130}$Cd, $^{124-134}$Sn,
$^{128-136}$Te and $^{136}$Xe.
| nucl-th | making use of the finite rank separable approach for the quasiparticle random phase approximation enables one to perform nuclear structure calculations in very large twoquasiparticle spaces the approach is extended to take into account the residual particleparticle interaction the calculations are performed by using skyrme interactions in the particlehole channel and densitydependent zerorange interactions in the particleparticle channel to illustrate our approach we study the properties of the lowest quadrupole states in the eveneven nuclei 128pd 130cd 124134sn 128136te and 136xe | [['making', 'use', 'of', 'the', 'finite', 'rank', 'separable', 'approach', 'for', 'the', 'quasiparticle', 'random', 'phase', 'approximation', 'enables', 'one', 'to', 'perform', 'nuclear', 'structure', 'calculations', 'in', 'very', 'large', 'twoquasiparticle', 'spaces', 'the', 'approach', 'is', 'extended', 'to', 'take', 'into', 'account', 'the', 'residual', 'particleparticle', 'interaction', 'the', 'calculations', 'are', 'performed', 'by', 'using', 'skyrme', 'interactions', 'in', 'the', 'particlehole', 'channel', 'and', 'densitydependent', 'zerorange', 'interactions', 'in', 'the', 'particleparticle', 'channel', 'to', 'illustrate', 'our', 'approach', 'we', 'study', 'the', 'properties', 'of', 'the', 'lowest', 'quadrupole', 'states', 'in', 'the', 'eveneven', 'nuclei', '128pd', '130cd', '124134sn', '128136te', 'and', '136xe']] | [-0.08867117179892002, 0.16260731091293004, -0.1269658561154173, 0.1428969738399013, 0.01042178716773215, -0.12630760048826536, 0.05609219170247133, 0.3750146743005667, -0.21334023367709073, -0.23332361119966477, -0.07476578612262622, -0.29142849186423403, -0.08780705959846576, 0.0784018121432895, 0.10507225011212704, 0.021518253566076357, 0.04556739261935059, 0.0007756397020644867, -0.1379773702400808, -0.21311903807471913, 0.3324654848189451, 0.052577126723451495, 0.2567164642401995, 0.09478852882360418, 0.0281674223086343, 0.09847683181914572, 0.002279607591052086, -0.047855693655900464, -0.10059602485181621, 0.06886451311322908, 0.2870871016124371, -0.034424727997527674, 0.24993190926631006, -0.4739221873191687, -0.202624674862585, 0.07595147014571688, 0.1375880685622971, 0.19195711008535746, -0.018077867368283946, -0.33984752404145324, 0.03850986388846277, -0.3054046396357127, -0.13307422248479456, -0.19125839334745437, -0.028322026549945943, 0.0350913340673567, -0.28082802813897173, 0.07132184163977702, 0.006107668893841596, 0.0008145321728825832, -0.1481725615926851, -0.1810269499830424, 0.016072062062075697, 0.10045154713906157, 0.04646725009661168, -0.009234655543994635, 0.1479251449300836, -0.08895033550783037, -0.059654152599903636, 0.4163944399079833, -0.024878018678954013, -0.20519676925136876, 0.14398705509031573, -0.1288863791522976, -0.11691219920220856, 0.17947788131184494, 0.1864262116081917, 0.08436270740565259, -0.14614218530821232, 0.1426786806132907, 0.012715433813774815, 0.1563837602495765, -0.03099114995170683, 0.03919934058705202, 0.08370823075230686, 0.18960991974633473, -0.005843840124539266, 0.12734088646725583, -0.14242167135951325, -0.15611455803483318, -0.27963681659923917, -0.04012162309850399, -0.18971796388713977, -0.021938673539970737, -0.0540243767292197, -0.12466756714125857, 0.3838075270446447, 0.092037694558549, 0.16361204015377623, 0.012740680183737706, 0.28186210656228167, 0.04951754713413091, 0.08790832894066206, 0.027689111245891605, 0.2852916589293342, 0.24773487266308317, -0.009200395389388386, -0.3068850547439443, 0.015796653926372528, 0.10620376758743078] |
711.2424 | Wormhole geometries with conformal motions | Exact solutions of traversable wormholes were recently found under the
assumption of spherical symmetry and the existence of a non-static conformal
symmetry. In this paper, we verify that in the case of the conformally
symmetric spacetimes with a non-static vector field generating the symmetry,
the conformal factor $\psi$ can be physically interpreted in terms of a
measurable quantity, namely, the tangential velocity of a massive test particle
moving in a stable circular orbit in the spacetime. Physical properties of the
rotational velocity of test particles and of the redshift of radiation emitted
by ultra-relativistic particles rotating around these hypothetical general
relativistic objects are further discussed. Finally, specific characteristics
and properties of gravitational bremsstrahlung emitted by charged particles in
geodesic motion in conformally symmetric wormhole geometries are also explored.
| gr-qc | exact solutions of traversable wormholes were recently found under the assumption of spherical symmetry and the existence of a nonstatic conformal symmetry in this paper we verify that in the case of the conformally symmetric spacetimes with a nonstatic vector field generating the symmetry the conformal factor psi can be physically interpreted in terms of a measurable quantity namely the tangential velocity of a massive test particle moving in a stable circular orbit in the spacetime physical properties of the rotational velocity of test particles and of the redshift of radiation emitted by ultrarelativistic particles rotating around these hypothetical general relativistic objects are further discussed finally specific characteristics and properties of gravitational bremsstrahlung emitted by charged particles in geodesic motion in conformally symmetric wormhole geometries are also explored | [['exact', 'solutions', 'of', 'traversable', 'wormholes', 'were', 'recently', 'found', 'under', 'the', 'assumption', 'of', 'spherical', 'symmetry', 'and', 'the', 'existence', 'of', 'a', 'nonstatic', 'conformal', 'symmetry', 'in', 'this', 'paper', 'we', 'verify', 'that', 'in', 'the', 'case', 'of', 'the', 'conformally', 'symmetric', 'spacetimes', 'with', 'a', 'nonstatic', 'vector', 'field', 'generating', 'the', 'symmetry', 'the', 'conformal', 'factor', 'psi', 'can', 'be', 'physically', 'interpreted', 'in', 'terms', 'of', 'a', 'measurable', 'quantity', 'namely', 'the', 'tangential', 'velocity', 'of', 'a', 'massive', 'test', 'particle', 'moving', 'in', 'a', 'stable', 'circular', 'orbit', 'in', 'the', 'spacetime', 'physical', 'properties', 'of', 'the', 'rotational', 'velocity', 'of', 'test', 'particles', 'and', 'of', 'the', 'redshift', 'of', 'radiation', 'emitted', 'by', 'ultrarelativistic', 'particles', 'rotating', 'around', 'these', 'hypothetical', 'general', 'relativistic', 'objects', 'are', 'further', 'discussed', 'finally', 'specific', 'characteristics', 'and', 'properties', 'of', 'gravitational', 'bremsstrahlung', 'emitted', 'by', 'charged', 'particles', 'in', 'geodesic', 'motion', 'in', 'conformally', 'symmetric', 'wormhole', 'geometries', 'are', 'also', 'explored']] | [-0.17527610708020802, 0.19652233216402237, -0.09219512556592235, 0.0731889551502718, -0.07486632151994854, -0.11512954474164871, -0.08897396929228307, 0.35832631184894126, -0.1677243257217924, -0.2531081331544556, 0.033643334542830416, -0.2326423944105045, -0.06635877426015213, 0.14426616194776898, -0.026133370591651328, 0.0753751518241188, 0.002651349459483754, 0.05818570180963434, -0.0951185753227719, -0.18159024792839773, 0.3797668684455857, 0.05453064231551252, 0.24094596297072712, 0.0073662278423398675, 0.10090055324872083, -0.0231796937296167, 0.0007508429116569459, 0.07204416360764299, -0.14566271955146703, 0.053838306543184444, 0.16368346954186563, 0.0936755899747368, 0.15061033777033117, -0.40139229219494155, -0.2206779376938357, 0.08853336867832695, 0.15150081611500354, 0.12366883053255151, -0.12919064292145777, -0.35711086617629917, 0.0750353317016561, -0.15932881101980456, -0.26299843678134494, -0.019252463600423653, 0.06213212474995089, 0.024282680460601114, -0.20686551644757856, 0.13557468132398753, 0.08451185031844943, 0.023238062662130687, -0.1262987045556656, -0.0071604864451728645, -0.06676598118428956, 0.028020877076414763, 0.14077738747437252, -0.007552558483439498, 0.17734942450533708, -0.13993339956323325, -0.10426065618958091, 0.44381305778370006, -0.05283787972302889, -0.2865198660438182, 0.1468023062816428, -0.20434816744091222, -0.11874589399667457, 0.14231536505030817, 0.19034546664261143, 0.2053001329113613, -0.18151278402365278, 0.11963118344874601, -0.06761178809210833, 0.09253787866146013, 0.158904054267623, 0.025950409627057525, 0.3267071526570362, 0.04489625632413663, -0.013776852738374146, 0.17496254412890266, -0.07128500725229969, -0.10365127311843025, -0.3823260209755972, -0.18336531194927375, -0.14536391546425875, 0.07837276501595625, -0.14305110591487846, -0.15923379777814262, 0.36727755831816467, 0.0797253108220275, 0.1214448203536449, 0.006731224257237045, 0.23661337079829536, 0.06421536856305465, 0.025922883745806757, 0.11874308682672563, 0.33401012702233857, 0.15343059244514734, 0.07042826493488974, -0.20558983475348214, -0.04899033945912379, 0.05216469955394132] |
711.2425 | Ab initio Calculations of the Interface States of
Polyacetylene-Polyvinylfluoride and Polyethylene - Polyvinylfluoride
Quasi-one-dimensional Chains | The interface states appearing in polyacetylene-polyvinylfluoride and
polyethylene-polyvinylfluoride are determined via an ab initio self consistent
field technique based on Green matrix formalism. Different properties of these
states are explored. Contrary to the results of the second pair, the results of
the first pair showed that the active electronic structure of polyacetylene
leads to new states lying in the energy gap of polyvinylfluoride which enhances
the doping probability in the first pair. The results emphasize the appearance
of bending band phenomenon as a result of the interface of systems considered.
| physics.chem-ph physics.comp-ph | the interface states appearing in polyacetylenepolyvinylfluoride and polyethylenepolyvinylfluoride are determined via an ab initio self consistent field technique based on green matrix formalism different properties of these states are explored contrary to the results of the second pair the results of the first pair showed that the active electronic structure of polyacetylene leads to new states lying in the energy gap of polyvinylfluoride which enhances the doping probability in the first pair the results emphasize the appearance of bending band phenomenon as a result of the interface of systems considered | [['the', 'interface', 'states', 'appearing', 'in', 'polyacetylenepolyvinylfluoride', 'and', 'polyethylenepolyvinylfluoride', 'are', 'determined', 'via', 'an', 'ab', 'initio', 'self', 'consistent', 'field', 'technique', 'based', 'on', 'green', 'matrix', 'formalism', 'different', 'properties', 'of', 'these', 'states', 'are', 'explored', 'contrary', 'to', 'the', 'results', 'of', 'the', 'second', 'pair', 'the', 'results', 'of', 'the', 'first', 'pair', 'showed', 'that', 'the', 'active', 'electronic', 'structure', 'of', 'polyacetylene', 'leads', 'to', 'new', 'states', 'lying', 'in', 'the', 'energy', 'gap', 'of', 'polyvinylfluoride', 'which', 'enhances', 'the', 'doping', 'probability', 'in', 'the', 'first', 'pair', 'the', 'results', 'emphasize', 'the', 'appearance', 'of', 'bending', 'band', 'phenomenon', 'as', 'a', 'result', 'of', 'the', 'interface', 'of', 'systems', 'considered']] | [-0.16026014790752496, 0.1178316074617852, -0.07977931042863531, 0.03966597888361791, 0.006044292966995774, -0.07362023792925408, 0.05792863244838456, 0.363355148851272, -0.2574515533794103, -0.2930117143617793, -0.0006304398786554905, -0.2680788712854358, -0.17696990106982746, 0.1737528589778933, 0.04455990681488966, 0.025852377644215507, 0.04569343916386708, 0.02925234749356563, -0.07806161038267116, -0.16761402372302936, 0.3714668408528655, 0.04159309325810661, 0.30072790174477404, 0.11041461228896146, 0.028163615111047507, 0.025705701481529522, -0.0005288854155732298, 0.015057130063744798, -0.11645145780962542, 0.15510127835588572, 0.21733468752782578, 0.024717226797271917, 0.22651689691635, -0.44795356416839294, -0.18167249202171618, -0.010687356274146801, 0.09079096029544699, 0.12801994501757596, -0.0682612491474519, -0.2848499201495072, 0.08697290746923322, -0.1370702108111361, -0.14730408474610285, -0.025075020827888244, -0.017173234462984247, 0.027081324376337146, -0.22864120343670613, 0.09190492201917644, 0.06400717249482699, 0.0032918965658065916, -0.10519604614250705, -0.14580818519916858, -0.08802165671776252, 0.12342593621398354, 0.043436565093867396, 0.01501877275937847, 0.12109174224515927, -0.13353150811624423, -0.14447985528486557, 0.36806174667402247, -0.06599121593238635, -0.12247623874817241, 0.19850259348375446, -0.1459637877649103, -0.0990319063073431, 0.1529433325992833, 0.11873764944551833, 0.1271264779156652, -0.1303619870430276, 0.0796878974765657, -0.021239445234338444, 0.1402323223093803, 0.02772829628110617, 0.0717661002939888, 0.19105074610347036, 0.13940857379194135, 0.03703079582459625, 0.14159778353822386, -0.09794114426918456, -0.117440072675075, -0.294579845842445, -0.18997014604543835, -0.2327938229701985, -0.016612640945990194, -0.017159156394077345, -0.18987100301096324, 0.4362398599135293, 0.10848447815354528, 0.23439840186687036, -0.012141758149179319, 0.20836223152348365, 0.12441250615908454, 0.04591483808518655, 0.01600433107272818, 0.292156381596779, 0.16148073492764398, 0.05811679128279117, -0.25375375746857726, 0.045825445280549514, 0.050365124363452196] |
711.2426 | Circuits, Attractors and Reachability in Mixed-K Kauffman Networks | The growth in number and nature of dynamical attractors in Kauffman NK
network models are still not well understood properties of these important
random boolean networks. Structural circuits in the underpinning graph give
insights into the number and length distribution of attractors in the NK model.
We use a fast direct circuit enumeration algorithm to study the NK model and
determine the growth behaviour of structural circuits. This leads to an
explanation and lower bound on the growth properties and the number of
attractor loops and a possible K-relationship for circuit number growth with
network size N. We also introduce a mixed-K model that allows us to explore <K>
between pairs of integer K values in Kauffman-like systems. We find that the
circuits' behaviour is a useful metric in identifying phase transitional
behaviour around the critical connectivity in that model too. We identify an
intermediate phase transition in circuit growth behaviour at K_S approximately
1.5, that is distinct from both the percolation transition at K_P = 1 and the
Kauffman transition at K_C = 2. We relate this transition to mutual node
reachability within the giant component of nodes.
| cond-mat.dis-nn | the growth in number and nature of dynamical attractors in kauffman nk network models are still not well understood properties of these important random boolean networks structural circuits in the underpinning graph give insights into the number and length distribution of attractors in the nk model we use a fast direct circuit enumeration algorithm to study the nk model and determine the growth behaviour of structural circuits this leads to an explanation and lower bound on the growth properties and the number of attractor loops and a possible krelationship for circuit number growth with network size n we also introduce a mixedk model that allows us to explore k between pairs of integer k values in kauffmanlike systems we find that the circuits behaviour is a useful metric in identifying phase transitional behaviour around the critical connectivity in that model too we identify an intermediate phase transition in circuit growth behaviour at k_s approximately 15 that is distinct from both the percolation transition at k_p 1 and the kauffman transition at k_c 2 we relate this transition to mutual node reachability within the giant component of nodes | [['the', 'growth', 'in', 'number', 'and', 'nature', 'of', 'dynamical', 'attractors', 'in', 'kauffman', 'nk', 'network', 'models', 'are', 'still', 'not', 'well', 'understood', 'properties', 'of', 'these', 'important', 'random', 'boolean', 'networks', 'structural', 'circuits', 'in', 'the', 'underpinning', 'graph', 'give', 'insights', 'into', 'the', 'number', 'and', 'length', 'distribution', 'of', 'attractors', 'in', 'the', 'nk', 'model', 'we', 'use', 'a', 'fast', 'direct', 'circuit', 'enumeration', 'algorithm', 'to', 'study', 'the', 'nk', 'model', 'and', 'determine', 'the', 'growth', 'behaviour', 'of', 'structural', 'circuits', 'this', 'leads', 'to', 'an', 'explanation', 'and', 'lower', 'bound', 'on', 'the', 'growth', 'properties', 'and', 'the', 'number', 'of', 'attractor', 'loops', 'and', 'a', 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711.2427 | Dynamic structure factor of a stiff polymer in a glassy solution | We provide a comprehensive overview of the current theoretical understanding
of the dynamic structure factor of stiff polymers in semidilute solution based
on the wormlike chain (WLC) model. We extend previous work by computing exact
numerical coefficients and an expression for the dynamic mean square
displacement (MSD) of a free polymer and compare various common approximations
for the hydrodynamic interactions, which need to be treated accurately if one
wants to extract quantitative estimates for model parameters from experimental
data. A recent controversy about the initial slope of the dynamic structure
factor is thereby resolved. To account for the interactions of the polymer with
a surrounding (sticky) polymer solution, we analyze an extension of the WLC
model, the glassy wormlike chain (GWLC), which predicts near power-law and
logarithmic long-time tails in the dynamic structure factor.
| cond-mat.soft | we provide a comprehensive overview of the current theoretical understanding of the dynamic structure factor of stiff polymers in semidilute solution based on the wormlike chain wlc model we extend previous work by computing exact numerical coefficients and an expression for the dynamic mean square displacement msd of a free polymer and compare various common approximations for the hydrodynamic interactions which need to be treated accurately if one wants to extract quantitative estimates for model parameters from experimental data a recent controversy about the initial slope of the dynamic structure factor is thereby resolved to account for the interactions of the polymer with a surrounding sticky polymer solution we analyze an extension of the wlc model the glassy wormlike chain gwlc which predicts near powerlaw and logarithmic longtime tails in the dynamic structure factor | [['we', 'provide', 'a', 'comprehensive', 'overview', 'of', 'the', 'current', 'theoretical', 'understanding', 'of', 'the', 'dynamic', 'structure', 'factor', 'of', 'stiff', 'polymers', 'in', 'semidilute', 'solution', 'based', 'on', 'the', 'wormlike', 'chain', 'wlc', 'model', 'we', 'extend', 'previous', 'work', 'by', 'computing', 'exact', 'numerical', 'coefficients', 'and', 'an', 'expression', 'for', 'the', 'dynamic', 'mean', 'square', 'displacement', 'msd', 'of', 'a', 'free', 'polymer', 'and', 'compare', 'various', 'common', 'approximations', 'for', 'the', 'hydrodynamic', 'interactions', 'which', 'need', 'to', 'be', 'treated', 'accurately', 'if', 'one', 'wants', 'to', 'extract', 'quantitative', 'estimates', 'for', 'model', 'parameters', 'from', 'experimental', 'data', 'a', 'recent', 'controversy', 'about', 'the', 'initial', 'slope', 'of', 'the', 'dynamic', 'structure', 'factor', 'is', 'thereby', 'resolved', 'to', 'account', 'for', 'the', 'interactions', 'of', 'the', 'polymer', 'with', 'a', 'surrounding', 'sticky', 'polymer', 'solution', 'we', 'analyze', 'an', 'extension', 'of', 'the', 'wlc', 'model', 'the', 'glassy', 'wormlike', 'chain', 'gwlc', 'which', 'predicts', 'near', 'powerlaw', 'and', 'logarithmic', 'longtime', 'tails', 'in', 'the', 'dynamic', 'structure', 'factor']] | [-0.09198982513565292, 0.07318592823563151, -0.11078711822298842, 0.06234055169972716, -0.05996340866124174, -0.15580440926671363, -0.0016609071291298536, 0.37316019027563396, -0.29561598796689353, -0.26341878787489303, 0.07544448257444787, -0.26870866530964066, -0.13273907259172663, 0.14033737231728816, 0.024229911665098545, 0.08461834640422863, 0.04931599585818989, 0.014944485911913564, -0.044822271882014264, -0.1491218976217753, 0.21228530297121867, 0.0914924205385093, 0.2707867796755215, 0.07359521219128076, 0.07977869371456135, 0.04056850109082549, -0.0065485128034740245, 0.04527236004151515, -0.2616294173405631, 0.13096487376866722, 0.1840755583635017, 0.025213834631548665, 0.23627119454895773, -0.4757240317386589, -0.24501000624845054, 0.061443225057090205, 0.1612231740897431, 0.14477317799890496, -0.0005796120350888527, -0.2553421229492428, 0.04792893307332172, -0.2015898209690714, -0.17908480211939495, -0.08183696057904623, 0.01797000081417387, 0.05774870820329594, -0.25719683915819735, 0.14706929700636764, 0.0438678010241754, 0.04337448362302758, -0.09303003684409074, -0.09490253240453886, 0.05038832540801073, 0.14059379041271367, 0.07583160553589713, -0.0017712789434772818, 0.16300835859885357, -0.18195391775094974, -0.07914664362098521, 0.35707018977038063, -0.0741360520930099, -0.1902394587340862, 0.16645199163389435, -0.11879252507907352, -0.10455178186895131, 0.169077198233094, 0.14872390834559032, 0.08552205291274351, -0.17016030049234726, 0.06333279941767912, -0.0486319481148454, 0.21804506897773426, 0.011946920270739651, -0.029274195039978447, 0.1887248707031692, 0.23417856872304163, 0.004929835685709519, 0.16678560163335762, -0.055720220710873715, -0.18492529830381052, -0.266615224522608, -0.13823349771016874, -0.1611396630586528, 0.060303526666404594, -0.14479984289155526, -0.20340519992690256, 0.38499985343894794, 0.12947394425848313, 0.19721721412627888, 0.11728634714642401, 0.28723350322958247, 0.05164704577816622, 0.014181986857733843, 0.047478131578067566, 0.2101070826991336, 0.12827379855852045, 0.07688054492099405, -0.24139685159611668, 0.09347498049671109, 0.06122560048503662] |
711.2428 | Embedding Dark Energy in Supergravity | We give a brief overview of some of the constraints on the embedding of dark
energy in supergravity.
| hep-ph | we give a brief overview of some of the constraints on the embedding of dark energy in supergravity | [['we', 'give', 'a', 'brief', 'overview', 'of', 'some', 'of', 'the', 'constraints', 'on', 'the', 'embedding', 'of', 'dark', 'energy', 'in', 'supergravity']] | [-0.17849859377990165, 0.030689613841887977, -0.0999501270448996, 0.1149114759431945, -0.14576631794787115, -0.055925317496682204, -0.01755589298490021, 0.2872454527920733, -0.14558173384931353, -0.36027572448882794, 0.12780563998320657, -0.26248958748247886, -0.09793502806375425, 0.17180724028084013, -0.1013700285822981, -0.05591844938074549, 0.05067232271863355, 0.10975024890568522, -0.13267555957039198, -0.3038094708075126, 0.36435715357462567, 0.02198526097668542, 0.1740974270635181, 0.13794327672157022, 0.13656935923629338, -0.0016763451276347041, -0.09843882432000504, -0.042559458356764585, -0.28262379532679915, 0.19138176615039507, 0.18128434987738729, 0.2107017988908208, 0.18270943491047043, -0.522569658441676, -0.18862121451335648, 0.10461605423026615, 0.11282813427452412, 0.14972794842388895, -0.129254005157337, -0.27787067285842365, -0.0030356356356706885, -0.18793235051756105, -0.04011377143777079, -0.059086485041512385, -0.010272962144679494, 0.04776470301051935, -0.17935988969273037, 0.012493071042829089, 0.06641594951765405, 0.012806362524214718, -0.14631479368027714, -0.14633281115028593, 0.05035813732279672, -0.048336661213801965, 0.10444895167731577, -0.006197455287393596, 0.10143556262159513, -0.22264747611350483, -0.08676732900655931, 0.3795159982724322, -0.11445257316033046, -0.1344369707836045, 0.11215009020977756, -0.06439826513330142, -0.2301520678318209, 0.08075830185165007, 0.19252779251999325, 0.06472055562254456, -0.14981393547107777, 0.19106759203390944, -0.028746297789944544, 0.08614430007421309, 0.009859499055892229, 0.17430497561064032, 0.2806094308487243, 0.26638323275579345, 0.10849402950649771, 0.15264399303123355, -0.007734860435852574, -0.05524057418935829, -0.5187863219115469, -0.19044973825414976, -0.09017804658247365, 0.11937318514618608, -0.10318668455713326, -0.1408292935229838, 0.5382427532846729, 0.12340187757379478, 0.28291318958832157, 0.048078592814919024, 0.29144505225121975, 0.041026644253482424, -0.06606228440068662, 0.002472162712365389, 0.26374914329790045, 0.11909850800616874, 0.08553351174729566, -0.1801068615168333, -0.12644050095696002, 0.10135557331765692] |
711.2429 | Infall of substructures onto a Milky Way-like dark halo | We analyse the dynamical properties of substructures in a high-resolution
dark matter simulation of the formation of a Milky Way-like halo in a
$\Lambda$CDM cosmology. Our goal is to shed light on the dynamical
peculiarities of the Milky Way satellites. Our simulations show that about 1/3
of the subhalos have been accreted in groups. We quantify this clustering by
measuring the alignment of the angular momentum of subhalos in a group. We find
that this signal is visible even for objects accreted up to $z \sim 1$, i.e. 8
Gyr ago, and long after the spatial coherence of the groups has been lost due
the host tidal field. This group infall may well explain the ghostly streams
proposed by Lynden-Bell & Lynden-Bell to orbit the Milky Way. Our analyses also
show that if most satellites originate in a few groups, the disk-like
distribution of the Milky Way satellites would be almost inevitable. This
non-random assignment of satellites to subhalos implies an environmental
dependence on whether these low-mass objects are able to form stars, possibly
related to the nature of reionization in the early Universe. With this picture,
both the ``ghostly streams'' and the ``disk-like configuration'' are
manifestations of the same phenomenon: the hierarchical growth of structure
down to the smallest scales.
| astro-ph | we analyse the dynamical properties of substructures in a highresolution dark matter simulation of the formation of a milky waylike halo in a lambdacdm cosmology our goal is to shed light on the dynamical peculiarities of the milky way satellites our simulations show that about 13 of the subhalos have been accreted in groups we quantify this clustering by measuring the alignment of the angular momentum of subhalos in a group we find that this signal is visible even for objects accreted up to z sim 1 ie 8 gyr ago and long after the spatial coherence of the groups has been lost due the host tidal field this group infall may well explain the ghostly streams proposed by lyndenbell lyndenbell to orbit the milky way our analyses also show that if most satellites originate in a few groups the disklike distribution of the milky way satellites would be almost inevitable this nonrandom assignment of satellites to subhalos implies an environmental dependence on whether these lowmass objects are able to form stars possibly related to the nature of reionization in the early universe with this picture both the ghostly streams and the disklike configuration are manifestations of the same phenomenon the hierarchical growth of structure down to the smallest scales | [['we', 'analyse', 'the', 'dynamical', 'properties', 'of', 'substructures', 'in', 'a', 'highresolution', 'dark', 'matter', 'simulation', 'of', 'the', 'formation', 'of', 'a', 'milky', 'waylike', 'halo', 'in', 'a', 'lambdacdm', 'cosmology', 'our', 'goal', 'is', 'to', 'shed', 'light', 'on', 'the', 'dynamical', 'peculiarities', 'of', 'the', 'milky', 'way', 'satellites', 'our', 'simulations', 'show', 'that', 'about', '13', 'of', 'the', 'subhalos', 'have', 'been', 'accreted', 'in', 'groups', 'we', 'quantify', 'this', 'clustering', 'by', 'measuring', 'the', 'alignment', 'of', 'the', 'angular', 'momentum', 'of', 'subhalos', 'in', 'a', 'group', 'we', 'find', 'that', 'this', 'signal', 'is', 'visible', 'even', 'for', 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'disklike', 'configuration', 'are', 'manifestations', 'of', 'the', 'same', 'phenomenon', 'the', 'hierarchical', 'growth', 'of', 'structure', 'down', 'to', 'the', 'smallest', 'scales']] | [-0.1366950533153223, 0.10886911618186527, -0.16533735750597858, 0.13279602829799322, -0.10534255539200135, 0.01949348289053887, -0.0012729396722057746, 0.36957359310195204, -0.2343296423293872, -0.37639970742387785, 0.01910152774403936, -0.2590962109887706, -0.07776415267338356, 0.16750264534105858, -0.04737264183072728, -0.027081044366683012, 0.04311434023270738, -0.04213306985884195, -0.037755755279656675, -0.3152237663306074, 0.3140656498083401, 0.06993111246445638, 0.1407611052505672, -0.06526656089561238, 0.06728986838965544, -0.0641314103534179, -0.05693795885003748, -0.04523441448719019, -0.14947840099252754, 0.03604052731146415, 0.21397883086243555, 0.11183197321647423, 0.23950264153203793, -0.41239217837518527, -0.2248309385563646, 0.11416848644564327, 0.22325045671979232, 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711.243 | Topology of Neutral Hydrogen Within the Small Magellanic Cloud | In this paper, genus statistics have been applied to an HI column density map
of the Small Magellanic Cloud in order to study its topology. To learn how
topology changes with the scale of the system, we provide the study of topology
for column density maps at varying resolution. To evaluate the statistical
error of the genus we randomly reassign the phases of the Fourier modes while
keeping the amplitudes. We find, that at the smallest scales studied ($40
{pc}\leq\lambda\leq 80 {pc}$) the genus shift is in all regions negative,
implying a clump topology. At the larger scales ($110 {pc}\leq\lambda\leq 250
{pc}$) the topology shift is detected to be negative in 4 cases and positive
(``swiss cheese'' topology) in 2 cases. In 4 regions there is no statistically
significant topology shift at large scales.
| astro-ph | in this paper genus statistics have been applied to an hi column density map of the small magellanic cloud in order to study its topology to learn how topology changes with the scale of the system we provide the study of topology for column density maps at varying resolution to evaluate the statistical error of the genus we randomly reassign the phases of the fourier modes while keeping the amplitudes we find that at the smallest scales studied 40 pcleqlambdaleq 80 pc the genus shift is in all regions negative implying a clump topology at the larger scales 110 pcleqlambdaleq 250 pc the topology shift is detected to be negative in 4 cases and positive swiss cheese topology in 2 cases in 4 regions there is no statistically significant topology shift at large scales | [['in', 'this', 'paper', 'genus', 'statistics', 'have', 'been', 'applied', 'to', 'an', 'hi', 'column', 'density', 'map', 'of', 'the', 'small', 'magellanic', 'cloud', 'in', 'order', 'to', 'study', 'its', 'topology', 'to', 'learn', 'how', 'topology', 'changes', 'with', 'the', 'scale', 'of', 'the', 'system', 'we', 'provide', 'the', 'study', 'of', 'topology', 'for', 'column', 'density', 'maps', 'at', 'varying', 'resolution', 'to', 'evaluate', 'the', 'statistical', 'error', 'of', 'the', 'genus', 'we', 'randomly', 'reassign', 'the', 'phases', 'of', 'the', 'fourier', 'modes', 'while', 'keeping', 'the', 'amplitudes', 'we', 'find', 'that', 'at', 'the', 'smallest', 'scales', 'studied', '40', 'pcleqlambdaleq', '80', 'pc', 'the', 'genus', 'shift', 'is', 'in', 'all', 'regions', 'negative', 'implying', 'a', 'clump', 'topology', 'at', 'the', 'larger', 'scales', '110', 'pcleqlambdaleq', '250', 'pc', 'the', 'topology', 'shift', 'is', 'detected', 'to', 'be', 'negative', 'in', '4', 'cases', 'and', 'positive', 'swiss', 'cheese', 'topology', 'in', '2', 'cases', 'in', '4', 'regions', 'there', 'is', 'no', 'statistically', 'significant', 'topology', 'shift', 'at', 'large', 'scales']] | [-0.15090014372077404, 0.1436592145430702, -0.04787573583819198, 0.091275645436712, -0.018231571450914173, -0.0659874736844689, 0.040128077386532714, 0.3849889155138623, -0.26958371129126824, -0.3369094013010688, 0.07632833940266265, -0.3081587122358156, -0.08585930692568196, 0.13893913443307887, -0.03723394640749603, -0.025202012155645978, 0.00539906584008625, 0.013846921477207534, -0.07955044038262161, -0.2484338121024793, 0.32257284290707583, 0.07011603032923162, 0.24903269986283372, 0.0440382090693509, 0.07782102397389033, -0.1165452199815208, -0.029563077932724616, 0.03774444811739214, -0.1425430192019562, 0.06592983313247246, 0.26369068117381894, 0.05772291829061666, 0.2192063289976707, -0.3930591978776537, -0.19703780894986156, 0.10428557491325068, 0.12571245994397692, 0.058536607063036754, 0.0008953263291693999, -0.24151087629213702, 0.14833504084681132, -0.13601150120975394, -0.15865769610514469, -0.008498476056212729, 0.09097451521930369, -0.0262670269042825, -0.1923953970485441, 0.07807548835549052, -0.009214250526080528, 0.10555208209288222, -0.02111685599436786, -0.10405394502220477, -0.02967268828246178, 0.14408382208608655, 0.03136684899535877, 0.08434802588608088, 0.1367128219236761, -0.1310609866344969, -0.040885321090392994, 0.34863988825677417, -0.06456781845366949, -0.14934024632428633, 0.1741495568827359, -0.2281916002042029, -0.1736988778169634, 0.17870841138629298, 0.17082419361792167, 0.09104886324988029, -0.0538315850479359, 0.09747152838275669, -0.014420911227000144, 0.23747873244186243, 0.09981696544017529, 0.020005228441511987, 0.19715548929701926, 0.11821981187324238, 0.12585234452236557, 0.12816779591781652, -0.20187212720118236, -0.07708574850535528, -0.2561769307534577, -0.10294029521614764, -0.1529836624117293, 0.035294374295820795, -0.13537767967621525, -0.147641510231386, 0.41423687375517504, 0.11972276919263866, 0.2521765595738543, 0.08273259956728328, 0.2775985844553251, 0.0749460928755897, 0.10278299157366608, 0.12105281893904744, 0.22249396715426084, 0.12991744942370465, 0.08865994361941844, -0.17330853868924984, 0.04954340618992732, 0.014265455337325957] |
711.2431 | Identification of photon-tagged jets in the ALICE experiment | The ALICE experiment at LHC will detect and identify prompt photons and light
neutral-mesons with the PHOS detector and the additional EMCal electromagnetic
calorimeter. Charged particles will be detected and identified by the central
tracking system. In this article, the possibility of studying the interaction
of jets with the nuclear medium, using prompt photons as a tool to tag jets, is
investigated by simulations. New methods to identify prompt photon-jet events
and to distinguish them from the jet-jet background are presented.
| physics.data-an | the alice experiment at lhc will detect and identify prompt photons and light neutralmesons with the phos detector and the additional emcal electromagnetic calorimeter charged particles will be detected and identified by the central tracking system in this article the possibility of studying the interaction of jets with the nuclear medium using prompt photons as a tool to tag jets is investigated by simulations new methods to identify prompt photonjet events and to distinguish them from the jetjet background are presented | [['the', 'alice', 'experiment', 'at', 'lhc', 'will', 'detect', 'and', 'identify', 'prompt', 'photons', 'and', 'light', 'neutralmesons', 'with', 'the', 'phos', 'detector', 'and', 'the', 'additional', 'emcal', 'electromagnetic', 'calorimeter', 'charged', 'particles', 'will', 'be', 'detected', 'and', 'identified', 'by', 'the', 'central', 'tracking', 'system', 'in', 'this', 'article', 'the', 'possibility', 'of', 'studying', 'the', 'interaction', 'of', 'jets', 'with', 'the', 'nuclear', 'medium', 'using', 'prompt', 'photons', 'as', 'a', 'tool', 'to', 'tag', 'jets', 'is', 'investigated', 'by', 'simulations', 'new', 'methods', 'to', 'identify', 'prompt', 'photonjet', 'events', 'and', 'to', 'distinguish', 'them', 'from', 'the', 'jetjet', 'background', 'are', 'presented']] | [-0.05141465249507746, 0.20086272393818944, -0.10374519356701058, 0.1426232201367384, -0.025679412402678282, -0.15699877172592097, -0.04014918322791346, 0.3822379792109132, -0.20814457547967322, -0.375290131336078, 0.0017217573054949752, -0.3943593710719142, 0.04282143283635378, 0.14819221432262566, 0.0490142103866674, 0.05754888238152489, 0.13568848413415252, -0.025353214729693718, -0.0003153250727336854, -0.12629391197115183, 0.3110347307345364, 0.16304097585380078, 0.191329215047881, 0.0716963467770256, 0.12476266394951381, 0.043268294914742, -0.14305594984907657, -0.02633729492663406, -0.06810614308924415, 0.04238635383080691, 0.27508926561349656, 0.11826936324068811, 0.1323371348215005, -0.3907706785714254, -0.15626044654054566, 0.13096780810737982, 0.12930884875240736, 0.04614827178011183, -0.09833830267889425, -0.3765906779211946, 0.11589245951618068, -0.2047529104282148, -0.13806580310920252, -0.029794565364136362, -0.04739445056766271, 0.032679750921670345, -0.23554679762746672, 0.01520502488128841, -0.026508599217049778, -0.02731405533850193, 0.006483154749730602, -0.031994100303563755, 0.0002548882912378758, 0.08567253852525028, 0.09275565429998096, 0.07833359356154687, 0.20438422103179618, -0.16435028515697922, -0.18646009742515163, 0.35433049326529725, 0.009569567092694343, -0.10956997986068018, 0.24255076567642392, -0.21800128783797845, -0.10290120677091182, 0.19074113932438194, 0.2588927339762449, 0.09264696367645228, -0.25015552165568805, -0.05994767306037829, 0.036460375203751026, 0.17539464076980948, 0.031562864413717764, 0.0914553772425279, 0.23712174440734088, 0.1827510518603958, -0.03854631205176702, 0.14757073179207508, -0.168566881175866, 0.02697539296350442, -0.3756413021124899, -0.16674176561064086, -0.10976614954997785, 0.012791991728590801, 0.006360577782834298, -0.03370971946860664, 0.3975539683364332, 0.10141471652314067, 0.17859372503007762, -0.08270202573039569, 0.3357405951246619, 0.01637528408173239, 0.05042648353846744, 0.06901821725186892, 0.37922269364353267, 0.1411247187119443, 0.18063152320683, -0.21875737894151825, 0.03559970740461722, 0.02500593352597207] |
711.2432 | Two body systems from sl(2,C)-tops | It is shown that sl(2,$\mathbb{C}$) Euler-Arnold tops are equivalent to the
two-body systems of Calogero-Moser type. We prove that generic Hamiltonians of
sl(2,$\mathbb{C}$) tops are equivalent to one of three canonical Hamiltonians.
For all canonical Hamiltonians the corresponding two-body system is found.
Bosonisation formulas for each case are obtained explicitly. Relations with
Antonov-Zabrodin-Hasegawa R-matrix are discussed.
| math.DS | it is shown that sl2mathbbc eulerarnold tops are equivalent to the twobody systems of calogeromoser type we prove that generic hamiltonians of sl2mathbbc tops are equivalent to one of three canonical hamiltonians for all canonical hamiltonians the corresponding twobody system is found bosonisation formulas for each case are obtained explicitly relations with antonovzabrodinhasegawa rmatrix are discussed | [['it', 'is', 'shown', 'that', 'sl2mathbbc', 'eulerarnold', 'tops', 'are', 'equivalent', 'to', 'the', 'twobody', 'systems', 'of', 'calogeromoser', 'type', 'we', 'prove', 'that', 'generic', 'hamiltonians', 'of', 'sl2mathbbc', 'tops', 'are', 'equivalent', 'to', 'one', 'of', 'three', 'canonical', 'hamiltonians', 'for', 'all', 'canonical', 'hamiltonians', 'the', 'corresponding', 'twobody', 'system', 'is', 'found', 'bosonisation', 'formulas', 'for', 'each', 'case', 'are', 'obtained', 'explicitly', 'relations', 'with', 'antonovzabrodinhasegawa', 'rmatrix', 'are', 'discussed']] | [-0.15845292438012124, 0.13316197666889903, -0.04742057418281382, 0.15819403516043992, -0.022835297526961024, -0.2757135912945325, -0.13421665094792842, 0.37039652637798676, -0.23806729594414885, -0.17496972057799046, 0.03407659377394752, -0.30207795207812027, -0.16655749463560907, 0.24270176260986112, -0.002326885567163117, 0.09892836568707769, 0.11136156504296443, 0.08865194640291685, -0.1909516378983178, -0.2536406020718542, 0.3857274190946059, -0.043909533186392354, 0.17164414091543717, -0.01645654435692863, 0.09115394760261883, 0.022360894378190013, 0.05138007266954942, -0.04559918559071693, -0.11099364800849633, 0.11098366987425834, 0.23457684232430023, 0.05550197460688651, 0.07428711540997028, -0.3678737595677376, -0.11737243126739155, 0.12104928539219227, 0.15470552183687686, 0.1426143027503382, 0.058707771395248444, -0.28774657475931403, 0.0667059291572183, -0.2223724594170397, -0.18458231812850995, -0.13234848524020476, 0.07354224153201688, 0.04531421173702587, -0.23367974998598748, 0.048156437142328784, 0.06599647954783656, 0.007955592955377969, -0.09778207078237425, -0.1720190025421537, -0.09475297667086124, 0.0703366855667396, -0.00040223758498376066, -0.03690569939261133, 0.10204441663385792, -0.045974772025577045, -0.1261195143187334, 0.4266697926616127, 0.018337244739417325, -0.29880371683023194, 0.18793743266300722, -0.09028403530405327, -0.1661862605505369, 0.10833655094558542, 0.03189563351598653, 0.10612460493364118, -0.2230885012583299, 0.16698779197917743, -0.08530777639455416, 0.06610079003413293, 0.01733715935525569, 0.026226197301664134, 0.14696731887419115, 0.01510951393707232, 0.037983791437000036, 0.14471704318103465, 0.04326834753155708, -0.2087294529869475, -0.34178148250688206, -0.16063419043679128, -0.13121068830051544, 0.07475808604874394, -0.042287164672531866, -0.11492847664948468, 0.36150310610167, 0.09261014940725132, 0.15844435619021005, 0.11667404740794816, 0.1588210604576902, 0.21049647815525532, 0.0845633017745885, 0.0651077260855924, 0.25231134824200785, 0.20120106705210425, -0.031155369168316776, -0.20108206612481314, -0.08918209632181308, 0.221719703852961] |
711.2433 | Two-Dimensional Electron Gas with Cold Atoms in Non-Abelian Gauge
Potentials | Motivated by the possibility of creating non-Abelian fields using cold atoms
in optical lattices, we explore the richness and complexity of non-interacting
two-dimensional electron gases (2DEGs) in a lattice, subjected to such fields.
In the continuum limit, a non-Abelian system characterized by a two-component
"magnetic flux" describes a harmonic oscillator existing in two different
charge states (mimicking a particle-hole pair) where the coupling between the
states is determined by the non-Abelian parameter, namely the difference
between the two components of the "magnetic flux." A key feature of the
non-Abelian system is a splitting of the Landau energy levels, which broaden
into bands, as the spectrum depends explicitly on the transverse momentum.
These Landau bands result in a coarse-grained "moth," a continuum version of
the generalized Hofstadter butterfly. Furthermore, the bands overlap, leading
to effective relativistic effects. Importantly, similar features also
characterize the corresponding two-dimensional lattice problem when at least
one of the components of the magnetic flux is an irrational number. The lattice
system with two competing "magnetic fluxes" penetrating the unit cell provides
a rich environment in which to study localization phenomena. Some unique
aspects of the transport properties of the non-Abelian system are the
possibility of inducing localization by varying the quasimomentum, and the
absence of localization of certain zero-energy states exhibiting a linear
energy-momentum relation. Furthermore, non-Abelian systems provide an
interesting localization scenario where the localization transition is
accompanied by a transition from relativistic to non-relativistic theory.
| cond-mat.mes-hall | motivated by the possibility of creating nonabelian fields using cold atoms in optical lattices we explore the richness and complexity of noninteracting twodimensional electron gases 2degs in a lattice subjected to such fields in the continuum limit a nonabelian system characterized by a twocomponent magnetic flux describes a harmonic oscillator existing in two different charge states mimicking a particlehole pair where the coupling between the states is determined by the nonabelian parameter namely the difference between the two components of the magnetic flux a key feature of the nonabelian system is a splitting of the landau energy levels which broaden into bands as the spectrum depends explicitly on the transverse momentum these landau bands result in a coarsegrained moth a continuum version of the generalized hofstadter butterfly furthermore the bands overlap leading to effective relativistic effects importantly similar features also characterize the corresponding twodimensional lattice problem when at least one of the components of the magnetic flux is an irrational number the lattice system with two competing magnetic fluxes penetrating the unit cell provides a rich environment in which to study localization phenomena some unique aspects of the transport properties of the nonabelian system are the possibility of inducing localization by varying the quasimomentum and the absence of localization of certain zeroenergy states exhibiting a linear energymomentum relation furthermore nonabelian systems provide an interesting localization scenario where the localization transition is accompanied by a transition from relativistic to nonrelativistic theory | [['motivated', 'by', 'the', 'possibility', 'of', 'creating', 'nonabelian', 'fields', 'using', 'cold', 'atoms', 'in', 'optical', 'lattices', 'we', 'explore', 'the', 'richness', 'and', 'complexity', 'of', 'noninteracting', 'twodimensional', 'electron', 'gases', '2degs', 'in', 'a', 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711.2434 | Variable importance in binary regression trees and forests | We characterize and study variable importance (VIMP) and pairwise variable
associations in binary regression trees. A key component involves the node mean
squared error for a quantity we refer to as a maximal subtree. The theory
naturally extends from single trees to ensembles of trees and applies to
methods like random forests. This is useful because while importance values
from random forests are used to screen variables, for example they are used to
filter high throughput genomic data in Bioinformatics, very little theory
exists about their properties.
| stat.ML | we characterize and study variable importance vimp and pairwise variable associations in binary regression trees a key component involves the node mean squared error for a quantity we refer to as a maximal subtree the theory naturally extends from single trees to ensembles of trees and applies to methods like random forests this is useful because while importance values from random forests are used to screen variables for example they are used to filter high throughput genomic data in bioinformatics very little theory exists about their properties | [['we', 'characterize', 'and', 'study', 'variable', 'importance', 'vimp', 'and', 'pairwise', 'variable', 'associations', 'in', 'binary', 'regression', 'trees', 'a', 'key', 'component', 'involves', 'the', 'node', 'mean', 'squared', 'error', 'for', 'a', 'quantity', 'we', 'refer', 'to', 'as', 'a', 'maximal', 'subtree', 'the', 'theory', 'naturally', 'extends', 'from', 'single', 'trees', 'to', 'ensembles', 'of', 'trees', 'and', 'applies', 'to', 'methods', 'like', 'random', 'forests', 'this', 'is', 'useful', 'because', 'while', 'importance', 'values', 'from', 'random', 'forests', 'are', 'used', 'to', 'screen', 'variables', 'for', 'example', 'they', 'are', 'used', 'to', 'filter', 'high', 'throughput', 'genomic', 'data', 'in', 'bioinformatics', 'very', 'little', 'theory', 'exists', 'about', 'their', 'properties']] | [-0.07039885093249253, 0.10687871581617871, -0.06853237489088514, 0.15368677781702117, -0.09720952851676393, -0.14402181650351348, 0.11842778314108393, 0.42433562358017024, -0.3080793357529174, -0.2735535238130853, 0.11101552895698483, -0.31049494115614346, -0.1767381666463682, 0.18736906932003197, -0.14183305965029988, 0.09317977516527218, 0.09332175702713001, 0.07151392813044033, 0.001701296721959765, -0.23968406357727517, 0.2628789766739797, 0.09395573351360943, 0.27087052819458235, -0.03763557120691985, 0.12555221307771172, 0.07520720710035884, -0.07291401225816586, 0.04045426971332609, -0.10338057485548244, 0.11439836863428354, 0.3282768307360767, 0.18652749293879872, 0.3016175865142167, -0.33716991836547683, -0.23026203538623008, 0.1583658397765081, 0.12944937893457112, 0.11529559955461187, 0.006855737182429467, -0.18309077752845085, 0.09044759879531018, -0.12776710808641095, -0.08084839190110221, -0.0815169477203711, 0.018568951004966236, 0.06332685237137559, -0.29802673589973444, 0.09663536034032018, 0.03510665171980408, 0.07190784516519513, 0.03525637950073799, -0.1815144310881994, -0.004547318556056968, 0.16402741644610772, 0.03833616449733147, 0.054414244708551586, 0.11693267067145, -0.12673658021222586, -0.1359115649956739, 0.36872761762947187, -0.05813123382114131, -0.22095288717905168, 0.2122975037722238, -0.08145600546622413, -0.1934518308817655, 0.08424023681202497, 0.22028331778242372, 0.1174181913448519, -0.16683075406813416, 0.031923115433423896, -0.0009668896766914718, 0.1606906117849994, 0.07148257082049873, 0.0337200706621268, 0.21447316526124874, 0.1381811536634448, 0.07262017332745352, 0.16897388637579722, -0.0909473551116113, -0.09987571988998774, -0.20953586973763746, -0.11423925547753515, -0.18158117711715316, -0.011626555573666233, -0.18153980943249223, -0.2211477131336585, 0.3277677747196165, 0.17845985408867013, 0.23178431853095346, 0.09780410747846653, 0.2293073262888189, 0.04965658025982008, 0.10524702248506076, 0.06354905311426351, 0.12652564075529232, 0.2309369727027142, 0.05114089096254059, -0.08801929758200636, 0.12279486737545879, 0.06705748103559017] |
711.2435 | Some Geometry of Nodal Curves | We find a geometrical method of analysing the singularities of a plane nodal
curve. The main results will be used in a forthcoming paper on geometric
Plucker formulas for such curves. Plane nodal curves, that is plane curves
having at most nodes as singularities, form an important class of curves, as
any projective algebraic curve is birational to a plane nodal curve.
| math.AG math.LO | we find a geometrical method of analysing the singularities of a plane nodal curve the main results will be used in a forthcoming paper on geometric plucker formulas for such curves plane nodal curves that is plane curves having at most nodes as singularities form an important class of curves as any projective algebraic curve is birational to a plane nodal curve | [['we', 'find', 'a', 'geometrical', 'method', 'of', 'analysing', 'the', 'singularities', 'of', 'a', 'plane', 'nodal', 'curve', 'the', 'main', 'results', 'will', 'be', 'used', 'in', 'a', 'forthcoming', 'paper', 'on', 'geometric', 'plucker', 'formulas', 'for', 'such', 'curves', 'plane', 'nodal', 'curves', 'that', 'is', 'plane', 'curves', 'having', 'at', 'most', 'nodes', 'as', 'singularities', 'form', 'an', 'important', 'class', 'of', 'curves', 'as', 'any', 'projective', 'algebraic', 'curve', 'is', 'birational', 'to', 'a', 'plane', 'nodal', 'curve']] | [-0.2726694536245158, -0.027161270422971763, -0.16962437963323487, 0.10682331424041261, -0.1783524412481535, -0.13618974150308677, 0.03459494302777814, 0.3354526203587621, -0.2743166050847409, -0.18801706786748143, 0.08731297107090452, -0.3173244666278122, -0.16809844081440278, 0.3493327252086132, -0.1521062922141526, 0.0454001969811807, 0.03199392114765942, -0.00731102509364005, -0.12740006524273345, -0.29364695321888695, 0.41766248907773723, -0.07629048641050054, 0.21095458291951688, 0.011899742044343223, 0.07009697687481681, 0.05605620675299677, 0.06131352530416822, 0.041620764430732496, -0.16369247322795527, 0.1362839994291144, 0.3417142877775815, 0.09725440877129234, 0.06697227313153205, -0.34800025219878844, -0.22281691568693326, 0.2237669675040149, 0.17892601405600866, 0.09834711478963014, 0.005401442088412061, -0.1695580978186861, 0.06300499462973207, -0.03620678799286965, -0.2945735648334507, -0.0455792071898618, 0.048696301727285306, 0.08578349487675775, -0.10445598089286397, -0.047768260051886884, 0.08126980153423163, 0.22242155268547997, -0.0005762348732640666, -0.06221608495933094, -0.10894734386144386, 0.022909987958208207, -0.013051543572557068, 0.11473575667027504, 0.04246681580890811, -0.06919253854862144, -0.0957817729382265, 0.4191379786258744, -0.04499560850672424, -0.17801221369975997, 0.047799872895402294, -0.13779085746876174, -0.12082924759165654, 0.187026635308059, 0.18740854185495165, 0.14939123172793659, -0.09025229094550014, 0.0970072002495609, -0.06372203574245495, 0.0934054519260122, 0.08468051184149038, -0.044447283974037535, 0.2490929939573811, 0.05544991793501521, 0.06460641742113137, 0.12348993195618893, -0.12679546201346262, -0.034349955558296175, -0.4072689942775234, -0.2068374905765297, -0.1396946664373841, 0.07236309713053127, -0.16053632619009622, -0.1903390692877433, 0.43719515133453835, -0.013316389533781236, 0.2853389047987519, 0.011554486809238311, 0.2803442053827307, 0.09536621957311346, 0.017886320159079566, 0.06239988300348482, 0.18092846362701348, 0.12029120760158665, 0.006107664839815228, -0.13067255472584116, 0.05554656802316106, 0.14008383624135487] |
711.2436 | Nonlinear Dynamics in Double Square Well Potential | Considering the coherent nonlinear dynamics in double square well potential
we find the example of coexistence of Josephson oscillations with a
self-trapping regime. This macroscopic bistability is explained by proving
analytically the simultaneous existence of symmetric, antisymmetric and
asymmetric stationary solutions of the associated Gross-Pitaevskii equation.
The effect is illustrated and confirmed by numerical simulations. This property
allows to make suggestions on possible experiments using Bose-Einstein
condensates in engineered optical lattices or weakly coupled optical waveguide
arrays.
| nlin.PS cond-mat.other math-ph math.MP physics.atom-ph | considering the coherent nonlinear dynamics in double square well potential we find the example of coexistence of josephson oscillations with a selftrapping regime this macroscopic bistability is explained by proving analytically the simultaneous existence of symmetric antisymmetric and asymmetric stationary solutions of the associated grosspitaevskii equation the effect is illustrated and confirmed by numerical simulations this property allows to make suggestions on possible experiments using boseeinstein condensates in engineered optical lattices or weakly coupled optical waveguide arrays | [['considering', 'the', 'coherent', 'nonlinear', 'dynamics', 'in', 'double', 'square', 'well', 'potential', 'we', 'find', 'the', 'example', 'of', 'coexistence', 'of', 'josephson', 'oscillations', 'with', 'a', 'selftrapping', 'regime', 'this', 'macroscopic', 'bistability', 'is', 'explained', 'by', 'proving', 'analytically', 'the', 'simultaneous', 'existence', 'of', 'symmetric', 'antisymmetric', 'and', 'asymmetric', 'stationary', 'solutions', 'of', 'the', 'associated', 'grosspitaevskii', 'equation', 'the', 'effect', 'is', 'illustrated', 'and', 'confirmed', 'by', 'numerical', 'simulations', 'this', 'property', 'allows', 'to', 'make', 'suggestions', 'on', 'possible', 'experiments', 'using', 'boseeinstein', 'condensates', 'in', 'engineered', 'optical', 'lattices', 'or', 'weakly', 'coupled', 'optical', 'waveguide', 'arrays']] | [-0.2172936633616299, 0.1610361193064842, -0.023691333322362465, 0.05842802895372129, -0.050467555362779595, -0.19599155948025646, 0.032073557570383146, 0.38447368637259516, -0.24063638203426616, -0.21310683491022944, 0.0695740360004658, -0.2634302788285929, -0.20120720155597605, 0.20275567837555397, 0.0663984059235202, 0.07061164315968341, 0.044006038263633654, -0.06124204913662239, -0.018315952417120192, -0.19038819329958265, 0.3046873518592351, 0.0030850130344995045, 0.3156948744307284, 0.051294599620431855, 0.09826891035651909, -0.008392883216744506, 0.020403236660247594, 0.012309008386808557, -0.14688384694870496, 0.042714565206173956, 0.20881792305146235, -0.04097358124669303, 0.2277634616142937, -0.47301017294649955, -0.2311318718719405, 0.10633561503771063, 0.20584438036100686, 0.18008986602283336, -0.0645502877584961, -0.361809872889093, -0.03630608896265266, -0.14584228720564346, -0.2569512141227432, -0.10828501027827332, -0.004961035438123849, 0.0989537991117686, -0.2676570077559778, 0.13066697231034277, 0.05976358373073389, 0.047210239394047816, -0.06818821698551175, -0.009566143995707299, -0.02005111684950141, -0.015501321427971608, -0.02980962358007862, -0.08688185183790983, 0.0793436445453047, -0.12679617982599642, -0.1434168546753875, 0.3567930008829027, -0.11038334050832631, -0.17970834018106197, 0.1695453536926539, -0.1443961777772706, 0.018113447304863434, 0.12387346297308996, 0.1206796568782105, 0.09602853734433264, -0.11268350980305053, 0.06180009850476227, -0.06855100320119943, 0.17018510542610393, 0.08607920812890417, 0.035910539310909324, 0.27097071490746427, 0.23960691085085273, 0.0013345499453437213, 0.2186693997891898, -0.043602202073277835, -0.16159904881323048, -0.2771481245502152, -0.050539622059116114, -0.1826620621776039, 0.0883131422308068, -0.06482091414184285, -0.16150212793477944, 0.3709380501222059, 0.11553126837840522, 0.1199549235064875, -0.029143537745460288, 0.26579947999448744, 0.16266407777688333, 0.018140159517091203, -0.013106051793128445, 0.289241234239723, 0.20904538057768693, 0.07686740655282681, -0.3263122767343053, -0.03186524237276285, 0.029621312775733797] |
711.2437 | Reply to "Comment on 'Precision measurement of the Casimir-Lifshitz
force in a fluid'" | We have reviewed the Comment of Geyer et al. [arXiv:0708.1548] concerning our
recent work [Phys. Rev. A 75, 060102 (R) (2007)], and while we disagree with
their criticisms, we acknowledge them for giving us the opportunity to add
interesting addition material and a more detailed description of our
experiment. We describe further our calculation and explain why a more
sophisticated model is not warranted. We also present detailed experiments on
the effects of electrostatic forces in our measurements and show that the
contribution due to work function differences is small and that the residual
electrostatic force is dominated by trapped charges and external fields.
Finally, we estimate the effect of double layer interactions. These additional
calculations and measurements support our original conclusion that the
experimental results are consistent with the Lifshitz theory.
| quant-ph | we have reviewed the comment of geyer et al arxiv07081548 concerning our recent work phys rev a 75 060102 r 2007 and while we disagree with their criticisms we acknowledge them for giving us the opportunity to add interesting addition material and a more detailed description of our experiment we describe further our calculation and explain why a more sophisticated model is not warranted we also present detailed experiments on the effects of electrostatic forces in our measurements and show that the contribution due to work function differences is small and that the residual electrostatic force is dominated by trapped charges and external fields finally we estimate the effect of double layer interactions these additional calculations and measurements support our original conclusion that the experimental results are consistent with the lifshitz theory | [['we', 'have', 'reviewed', 'the', 'comment', 'of', 'geyer', 'et', 'al', 'arxiv07081548', 'concerning', 'our', 'recent', 'work', 'phys', 'rev', 'a', '75', '060102', 'r', '2007', 'and', 'while', 'we', 'disagree', 'with', 'their', 'criticisms', 'we', 'acknowledge', 'them', 'for', 'giving', 'us', 'the', 'opportunity', 'to', 'add', 'interesting', 'addition', 'material', 'and', 'a', 'more', 'detailed', 'description', 'of', 'our', 'experiment', 'we', 'describe', 'further', 'our', 'calculation', 'and', 'explain', 'why', 'a', 'more', 'sophisticated', 'model', 'is', 'not', 'warranted', 'we', 'also', 'present', 'detailed', 'experiments', 'on', 'the', 'effects', 'of', 'electrostatic', 'forces', 'in', 'our', 'measurements', 'and', 'show', 'that', 'the', 'contribution', 'due', 'to', 'work', 'function', 'differences', 'is', 'small', 'and', 'that', 'the', 'residual', 'electrostatic', 'force', 'is', 'dominated', 'by', 'trapped', 'charges', 'and', 'external', 'fields', 'finally', 'we', 'estimate', 'the', 'effect', 'of', 'double', 'layer', 'interactions', 'these', 'additional', 'calculations', 'and', 'measurements', 'support', 'our', 'original', 'conclusion', 'that', 'the', 'experimental', 'results', 'are', 'consistent', 'with', 'the', 'lifshitz', 'theory']] | [-0.06368727074676336, 0.08830288665440793, -0.10181446888421375, 0.03843772876918172, -0.09873348648588244, -0.10369570974188928, 0.10085518965228962, 0.36759681258207333, -0.16299499058424352, -0.35107013792372666, 0.020817884472377885, -0.32957968099508433, -0.21098830389584272, 0.18840360589182148, -0.061678309961616135, 0.004418049140188556, 0.07476041950285435, -0.05722663666909704, -0.04419725584045339, -0.2688056879641058, 0.2836682156982044, 0.1423351179020336, 0.24846553474019925, 0.1358982260231502, 0.03975832904957665, 0.011963026311535101, -0.09875366939231753, 0.04634558942097311, -0.17799069735018958, 0.11875262195513082, 0.16799571299567245, 0.05367072904840685, 0.22528695882871175, -0.48440742476198534, -0.21618637900369672, 0.050849962279272194, 0.07840446116729603, 0.1622439588079802, -0.08881027657883421, -0.2809069364695041, 0.07297380935723105, -0.1890527848911006, -0.13901487699566553, -0.15044528536785107, 0.05082566137962903, 0.00842490810677051, -0.27062763498307996, 0.09957332078058523, 0.10752072096891845, 0.04199446832907807, -0.0762539943966728, -0.11169431972353218, 0.016830178276778986, 0.07857015979243442, 0.06305052466206969, 0.061970506923703046, 0.13145336366903324, -0.06947232087930807, -0.10250347272242205, 0.32954236212759636, -0.038366279285848855, -0.16241155665797682, 0.24558007979335694, -0.13625317606000373, -0.13609861985493737, 0.055717233933794956, 0.1308450300944969, 0.10028649410232901, -0.11594047147350815, 0.06864937836922204, -0.06027365913340383, 0.15376001799192565, 0.021343293205763284, 0.012103461277169677, 0.1872269626420278, 0.11893279326569217, -0.04368068070974774, 0.09844544718149477, -0.07594831927809327, -0.08410719949617768, -0.3424643493257463, -0.14513421427601805, -0.12845531282588266, 0.031039005064947278, -0.005524174252171249, -0.10029151114420248, 0.38481664512342273, 0.2479471708003145, 0.2177569418715743, 0.01615824493078085, 0.28164540123409376, 0.06851364911327927, 0.03621707630585521, 0.06337954231824439, 0.30671837730333207, 0.1313371817796276, 0.08187468242294227, -0.2251946975226299, 0.033765759549211134, -0.0159545231037415] |
711.2438 | 3D chaotic model for sub-grid turbulent dispersion in Large Eddy
Simulations | We introduce a 3D multiscale kinematic velocity field as a model to simulate
Lagrangian turbulent dispersion. The incompressible velocity field is a
nonlinear deterministic function, periodic in space and time, that generates
chaotic mixing of Lagrangian trajectories. Relative dispersion properties, e.g.
the Richardson's law, are correctly reproduced under two basic conditions: 1)
the velocity amplitudes of the spatial modes must be related to the
corresponding wavelengths through the Kolmogorov scaling; 2) the problem of the
lack of "sweeping effect" of the small eddies by the large eddies, common to
kinematic simulations, has to be taken into account. We show that, as far as
Lagrangian dispersion is concerned, our model can be successfully applied as
additional sub-grid contribution for Large Eddy Simulations of the planetary
boundary layer flow.
| nlin.CD | we introduce a 3d multiscale kinematic velocity field as a model to simulate lagrangian turbulent dispersion the incompressible velocity field is a nonlinear deterministic function periodic in space and time that generates chaotic mixing of lagrangian trajectories relative dispersion properties eg the richardsons law are correctly reproduced under two basic conditions 1 the velocity amplitudes of the spatial modes must be related to the corresponding wavelengths through the kolmogorov scaling 2 the problem of the lack of sweeping effect of the small eddies by the large eddies common to kinematic simulations has to be taken into account we show that as far as lagrangian dispersion is concerned our model can be successfully applied as additional subgrid contribution for large eddy simulations of the planetary boundary layer flow | [['we', 'introduce', 'a', '3d', 'multiscale', 'kinematic', 'velocity', 'field', 'as', 'a', 'model', 'to', 'simulate', 'lagrangian', 'turbulent', 'dispersion', 'the', 'incompressible', 'velocity', 'field', 'is', 'a', 'nonlinear', 'deterministic', 'function', 'periodic', 'in', 'space', 'and', 'time', 'that', 'generates', 'chaotic', 'mixing', 'of', 'lagrangian', 'trajectories', 'relative', 'dispersion', 'properties', 'eg', 'the', 'richardsons', 'law', 'are', 'correctly', 'reproduced', 'under', 'two', 'basic', 'conditions', '1', 'the', 'velocity', 'amplitudes', 'of', 'the', 'spatial', 'modes', 'must', 'be', 'related', 'to', 'the', 'corresponding', 'wavelengths', 'through', 'the', 'kolmogorov', 'scaling', '2', 'the', 'problem', 'of', 'the', 'lack', 'of', 'sweeping', 'effect', 'of', 'the', 'small', 'eddies', 'by', 'the', 'large', 'eddies', 'common', 'to', 'kinematic', 'simulations', 'has', 'to', 'be', 'taken', 'into', 'account', 'we', 'show', 'that', 'as', 'far', 'as', 'lagrangian', 'dispersion', 'is', 'concerned', 'our', 'model', 'can', 'be', 'successfully', 'applied', 'as', 'additional', 'subgrid', 'contribution', 'for', 'large', 'eddy', 'simulations', 'of', 'the', 'planetary', 'boundary', 'layer', 'flow']] | [-0.1394394493669154, 0.1727881610685021, -0.12023727865669671, 0.09395361571814718, -0.0883445860139703, -0.08157199209805314, -0.0650694710184182, 0.32661285405377233, -0.3223156373449198, -0.29479024095064776, 0.0685893136551457, -0.20320976807875193, -0.10225561802920805, 0.18856197453697954, -0.032091030106681774, 0.0903462199517159, 0.0501134315630289, -0.041846201300445036, -0.0016686778046249404, -0.14128463265236732, 0.31913317752796716, 0.028833343944416976, 0.23134376577974305, 0.002016589989222029, 0.12053959982425679, -0.07650553913215014, -0.028538729826824403, 0.10136131161074961, -0.141466079942179, 0.024955071262303945, 0.1911065087673863, 0.03785554812872768, 0.2576618484610061, -0.45477522633911116, -0.27231396291052967, 0.04315447385650216, 0.1864590810864612, 0.11295468576401875, 0.013427376728798226, -0.2694428890290868, 0.09300071586246096, -0.1362461409509534, -0.18324081845467866, -0.059208543927181424, 0.025194746112142962, 0.0311592275892773, -0.2741140697488752, 0.12672090564861777, 0.04106692003672182, 0.08474956298114981, -0.059405609030335205, -0.06741228542019298, -0.08500091056706105, 0.13840593564632078, 0.07626871169383424, 0.023843988394878043, 0.1433051573277605, -0.13069592139456332, -0.02568138194065101, 0.4329216450463804, -0.09478920018373746, -0.2421435711274701, 0.1852795523224677, -0.1341296219024954, -0.06156247845799552, 0.16884178275565112, 0.21470448174550544, 0.059410348977615386, -0.1478588358988604, 0.05797556451178985, -0.07982085960803509, 0.1617776357007807, 0.025850178560198056, -0.005512419684724075, 0.1894764598169342, 0.13853290737203255, 0.0420991962951586, 0.10557656255679014, -0.15859700020542003, -0.11799069134679836, -0.31784859057662523, -0.12646127803852475, -0.16146265924174896, 0.026000107411207177, -0.11933464540421182, -0.16538608997810897, 0.37673714538068165, 0.17250504277075465, 0.1984648337169719, 0.07445459807012964, 0.3180408102247541, 0.1583987982493576, 0.097762856379474, 0.09618305282183284, 0.26254403039879043, 0.15639723286098675, 0.10372527125914853, -0.2529383748036435, 0.0414717871197096, 0.1004264732148117] |
711.2439 | Tripled composite fermion liquid in generalized Pfaffian of v=5/2 and
non-abelian anyonic quasiholes with k=3 | This paper has been withdrawn by the author, due to an important sign error
in Eqn. 2.
| cond-mat.mes-hall | this paper has been withdrawn by the author due to an important sign error in eqn 2 | [['this', 'paper', 'has', 'been', 'withdrawn', 'by', 'the', 'author', 'due', 'to', 'an', 'important', 'sign', 'error', 'in', 'eqn', '2']] | [-0.11737352532937247, -0.009617970454307985, -0.050030463101232756, -0.008859578335164663, -0.08625494907884036, -0.10635010218795608, -0.055261469877544135, 0.32315894084818225, -0.2614732504110126, -0.3775751363924321, 0.1409943890689379, -0.2819395409349133, -0.17158532065942006, 0.06838579536141719, -0.2965477928519249, 0.10283834158497698, -0.02207195232896244, 0.004828304052352905, 0.0005023423582315445, -0.33912163290797787, 0.3293895261252628, 0.15551030592006795, 0.20893014616826, 0.2140945023035302, 0.028268233818166396, -0.0311088425326435, -0.07974907722981538, -0.05676929378772483, -0.13530083395102444, 0.08468929382369798, 0.26118791059536095, -0.022974719635813552, 0.45066328593255844, -0.3677932856166187, -0.16669950634241104, 0.1662292958730284, 0.22376805291894605, 0.1511930328081636, -0.1042818997931831, -0.3565914276987314, 0.1713441893020097, -0.28770527572316285, -0.08571632789886173, 0.033471670001745224, 0.19174799772308154, -0.13264710516394937, -0.16420846120180452, 0.09507870427606736, 0.18625674320056157, 0.15927588830099387, 0.03757971875807818, -0.20845229485455682, 0.10546636307502494, 0.19795896233442953, 0.22709083995398352, 0.18472801491289453, -0.06794197375283521, -0.08481435542104437, -0.1272589256439139, 0.3488378966336741, 0.018527780604713103, -0.21464631607865586, 0.05895458030350068, -0.036981554400614076, -0.1373268942184308, 0.1651187951073927, 0.1690726463737733, 0.040461398688528466, -0.22091671473839702, 0.19761259037563028, -0.0014313308193403132, 0.2121389166397207, 0.15864640529103138, -0.09355593385065303, 0.07502826456637944, 0.11386131692458601, 0.04708579177146449, 0.13749377867754767, -0.0346433467724744, 0.023647434680777436, -0.19239028280272202, -0.2053869029178339, -0.23310177159660003, 0.1133482174071319, 0.11213532232624643, -0.06069994515136761, 0.3848488375763683, 0.20434250616851976, 0.1579268889172989, -0.09694690147743505, 0.276353681788725, 0.18424911503269173, 0.06827905182452763, 0.0349346296313931, 0.30144651445067105, 0.15091051255791066, 0.17191518087159186, -0.1234235691235346, 0.2372737117111683, 0.15779717918485403] |
711.244 | Uniqueness and factorization of Coleff-Herrera currents | We prove a uniqueness result for Coleff-Herrera currents which in particular
means that if $f=(f_1,..., f_m)$ defines a complete intersection, then the
classical Coleff-Herrera product associated to $f$ is the unique Coleff-Herrera
current that is cohomologous to 1 with respect to the operator
$\delta_f-\dbar$, where $\delta_f$ is interior multiplication with $f$. From
the uniqueness result we deduce that any Coleff-Herrera current on a variety
$Z$ is a finite sum of products of residue currents with support on $Z$ and
holomorphic forms.
| math.CV | we prove a uniqueness result for coleffherrera currents which in particular means that if ff_1 f_m defines a complete intersection then the classical coleffherrera product associated to f is the unique coleffherrera current that is cohomologous to 1 with respect to the operator delta_fdbar where delta_f is interior multiplication with f from the uniqueness result we deduce that any coleffherrera current on a variety z is a finite sum of products of residue currents with support on z and holomorphic forms | [['we', 'prove', 'a', 'uniqueness', 'result', 'for', 'coleffherrera', 'currents', 'which', 'in', 'particular', 'means', 'that', 'if', 'ff_1', 'f_m', 'defines', 'a', 'complete', 'intersection', 'then', 'the', 'classical', 'coleffherrera', 'product', 'associated', 'to', 'f', 'is', 'the', 'unique', 'coleffherrera', 'current', 'that', 'is', 'cohomologous', 'to', '1', 'with', 'respect', 'to', 'the', 'operator', 'delta_fdbar', 'where', 'delta_f', 'is', 'interior', 'multiplication', 'with', 'f', 'from', 'the', 'uniqueness', 'result', 'we', 'deduce', 'that', 'any', 'coleffherrera', 'current', 'on', 'a', 'variety', 'z', 'is', 'a', 'finite', 'sum', 'of', 'products', 'of', 'residue', 'currents', 'with', 'support', 'on', 'z', 'and', 'holomorphic', 'forms']] | [-0.17164326661622908, 0.08102228931384162, -0.06858673952519893, 0.018602822738466786, -0.08600405200268142, -0.09663586709648371, 0.020097231658292004, 0.32618743521161375, -0.3275642299791798, -0.12476049823235372, 0.10616996114767971, -0.27250491573631735, -0.11609160321531817, 0.20569615190615878, -0.0580395279917866, -0.026920955366222188, 0.052937864372506735, 0.125946799677331, -0.0963999227300519, -0.22171156331896782, 0.4060923220589757, -0.08196827655192465, 0.19886237791506572, 0.10316876056604088, 0.10740415169857442, 0.0021801423048600555, 0.010055420768912882, 0.002624389325501397, -0.1592585860852523, 0.1031359071843326, 0.24288100504491011, 0.11615288942412008, 0.22524906741455197, -0.33429284567246215, -0.09519807164324448, 0.22049047399777918, 0.08485027890419587, -0.031147609332401772, -0.037222144643965296, -0.2210949565662304, 0.19193594866083002, -0.18048748011351562, -0.16553846332244576, -0.09806431112810969, 0.06318381570163183, 0.0710649291984737, -0.3669939528219402, 0.04065495387185365, 0.10288961357437074, 0.04427685823757201, -0.08229292910837102, -0.11499191438197158, -0.08840051646111532, 0.06121141376206651, 0.019922338728792965, 0.1433977745124139, 0.10450295075424947, -0.10305600677384064, -0.1200289144879207, 0.30549138368223794, -0.13051391540793703, -0.25082096555270256, 0.15479341088212095, -0.21732660182751715, -0.12239889007178135, 0.1095966674387455, 0.06880017664516344, 0.12333129090256989, -0.06985166544327512, 0.1994320025369234, -0.10601090427371673, 0.0947358610574156, 0.09727349140448496, -0.025345645198831333, 0.13862280563334933, 0.06909490602265578, 0.16162271960056387, 0.10859322263859213, 0.03033941105750273, -0.013683374121319503, -0.38254427779465916, -0.21120881662354804, -0.14678174876607955, 0.22236887143226342, -0.07123603184427338, -0.17976563439005985, 0.38527218048548095, 0.06919423297731556, 0.21010587638957076, 0.1107638276196667, 0.2623837273917161, 0.13838636359432713, 0.06992154974723234, 0.0735614130506292, 0.11734467752394266, 0.22525132274313364, -0.003000656404765323, -0.12953753788315225, 0.018147006840445103, 0.1529809055267833] |
711.2441 | Open Inflationary Universes in Gauss-Bonnet Brane Cosmology | In this article, we study a type of one-field approach for open inflationary
universe scenario in the context of braneworld models with a Gauss-Bonnet
correction term. For a one-bubble universe model, we determine and characterize
the existence of the Coleman-De Lucia instanton together with the period of
inflation after tunneling has occurred. Our results are compared those
analogous obtained when the usual Einstein Theory of Gravitation is used.
| gr-qc hep-th | in this article we study a type of onefield approach for open inflationary universe scenario in the context of braneworld models with a gaussbonnet correction term for a onebubble universe model we determine and characterize the existence of the colemande lucia instanton together with the period of inflation after tunneling has occurred our results are compared those analogous obtained when the usual einstein theory of gravitation is used | [['in', 'this', 'article', 'we', 'study', 'a', 'type', 'of', 'onefield', 'approach', 'for', 'open', 'inflationary', 'universe', 'scenario', 'in', 'the', 'context', 'of', 'braneworld', 'models', 'with', 'a', 'gaussbonnet', 'correction', 'term', 'for', 'a', 'onebubble', 'universe', 'model', 'we', 'determine', 'and', 'characterize', 'the', 'existence', 'of', 'the', 'colemande', 'lucia', 'instanton', 'together', 'with', 'the', 'period', 'of', 'inflation', 'after', 'tunneling', 'has', 'occurred', 'our', 'results', 'are', 'compared', 'those', 'analogous', 'obtained', 'when', 'the', 'usual', 'einstein', 'theory', 'of', 'gravitation', 'is', 'used']] | [-0.1347824231888265, 0.07147783641494922, -0.13519542119743774, 0.1420271047947011, -0.059153304226807694, -0.1524100369607001, -0.036603278190300646, 0.27243511509428275, -0.1540549504779168, -0.2712618231967981, 0.07640479994006455, -0.24726752719994802, -0.15146505115414732, 0.1937629440451847, -0.08835841171832672, -0.02081235780366766, 0.0347722070152635, 0.04356468283334997, -0.025322955657741918, -0.31648294869532334, 0.37249568598900934, 0.05753966551552068, 0.2056377917639355, -0.013793335615921377, 0.06041180218722838, -0.04917102480835434, -0.05726107019008443, 0.038919256437125044, -0.23051808093354773, 0.08638131803721745, 0.1642065546986297, 0.09232919128722887, 0.2260622119586637, -0.4077066141667206, -0.2738570381345144, 0.11034765995260495, 0.11715807322996544, 0.20176819003006416, -0.042016686548465, -0.28321097628560976, 0.06540715959923926, -0.21886922293968164, -0.15518642635320995, -0.019034465024275565, -0.01080641636986341, -0.059457885605324785, -0.24646032743552115, 0.10368553189032559, 0.003300562320249294, -0.034413992962452455, -0.11995459234328079, -0.028471216343954872, 0.037783920719747004, 0.03421078417875888, 0.1321280422818555, 0.06662196484950385, 0.07595232159677726, -0.13253394491994866, -0.13190375337961005, 0.39906183785911814, -0.17582497722816778, -0.1089157311162397, 0.11364062860218892, -0.13457549286922857, -0.14388948868709936, 0.05413353062971537, 0.08036931568006081, 0.13037368169387997, -0.141792223508402, 0.1984161382754778, -0.0005774609536043744, 0.10589700783498641, 0.10888109381880555, 0.011420110768791455, 0.2716871909102175, 0.16484862678239484, -0.027993431505955645, 0.13246548946237943, -0.02831696611898604, -0.13585226791007304, -0.39204642959217084, -0.14627054857729532, -0.1104454184646037, 0.07554878261802134, -0.12206329974504848, -0.17176605264114134, 0.3903940394242753, 0.1406458775137565, 0.1558190802418029, 0.057914580593803035, 0.22241690112694876, 0.05715795618363781, 0.012015454310605845, 0.026916353487228945, 0.30275148287443304, 0.1342188975871054, 0.1447170633308367, -0.23512400741647208, -0.017190150562117795, 0.12505226872805783] |
711.2442 | Are networks with more edges easier to synchronize? | In this paper, the relationship between the network synchronizability and the
edge distribution of its associated graph is investigated. First, it is shown
that adding one edge to a cycle definitely decreases the network
sychronizability. Then, since sometimes the synchronizability can be enhanced
by changing the network structure, the question of whether the networks with
more edges are easier to synchronize is addressed. It is shown by examples that
the answer is negative. This reveals that generally there are redundant edges
in a network, which not only make no contributions to synchronization but
actually may reduce the synchronizability. Moreover, an example shows that the
node betweenness centrality is not always a good indicator for the network
synchronizability. Finally, some more examples are presented to illustrate how
the network synchronizability varies following the addition of edges, where all
the examples show that the network synchronizability globally increases but
locally fluctuates as the number of added edges increases.
| cs.NI | in this paper the relationship between the network synchronizability and the edge distribution of its associated graph is investigated first it is shown that adding one edge to a cycle definitely decreases the network sychronizability then since sometimes the synchronizability can be enhanced by changing the network structure the question of whether the networks with more edges are easier to synchronize is addressed it is shown by examples that the answer is negative this reveals that generally there are redundant edges in a network which not only make no contributions to synchronization but actually may reduce the synchronizability moreover an example shows that the node betweenness centrality is not always a good indicator for the network synchronizability finally some more examples are presented to illustrate how the network synchronizability varies following the addition of edges where all the examples show that the network synchronizability globally increases but locally fluctuates as the number of added edges increases | [['in', 'this', 'paper', 'the', 'relationship', 'between', 'the', 'network', 'synchronizability', 'and', 'the', 'edge', 'distribution', 'of', 'its', 'associated', 'graph', 'is', 'investigated', 'first', 'it', 'is', 'shown', 'that', 'adding', 'one', 'edge', 'to', 'a', 'cycle', 'definitely', 'decreases', 'the', 'network', 'sychronizability', 'then', 'since', 'sometimes', 'the', 'synchronizability', 'can', 'be', 'enhanced', 'by', 'changing', 'the', 'network', 'structure', 'the', 'question', 'of', 'whether', 'the', 'networks', 'with', 'more', 'edges', 'are', 'easier', 'to', 'synchronize', 'is', 'addressed', 'it', 'is', 'shown', 'by', 'examples', 'that', 'the', 'answer', 'is', 'negative', 'this', 'reveals', 'that', 'generally', 'there', 'are', 'redundant', 'edges', 'in', 'a', 'network', 'which', 'not', 'only', 'make', 'no', 'contributions', 'to', 'synchronization', 'but', 'actually', 'may', 'reduce', 'the', 'synchronizability', 'moreover', 'an', 'example', 'shows', 'that', 'the', 'node', 'betweenness', 'centrality', 'is', 'not', 'always', 'a', 'good', 'indicator', 'for', 'the', 'network', 'synchronizability', 'finally', 'some', 'more', 'examples', 'are', 'presented', 'to', 'illustrate', 'how', 'the', 'network', 'synchronizability', 'varies', 'following', 'the', 'addition', 'of', 'edges', 'where', 'all', 'the', 'examples', 'show', 'that', 'the', 'network', 'synchronizability', 'globally', 'increases', 'but', 'locally', 'fluctuates', 'as', 'the', 'number', 'of', 'added', 'edges', 'increases']] | [-0.1738195272132514, 0.1192265055075686, -0.03256308196653281, 0.0784163981736187, -0.07251491336332214, -0.1876465710180421, 0.05963363503631685, 0.43082039500436475, -0.3066327599147635, -0.2929277135059237, 0.08854576407390977, -0.29178030197658844, -0.27846115196063637, 0.12707092498519248, -0.08996636101885909, -0.022145713057984868, 0.10906081856078198, 0.11533519363391304, 0.0164212517936023, -0.3049494313446039, 0.32686491041113774, 0.0889218663000652, 0.26996779018983, 0.08740647595315691, 0.012341994036649985, -0.0674707657627521, -0.019026884592829214, 0.10237641472504624, -0.07027811427631664, 0.08343527414986203, 0.2534220358296748, 0.1328071697524959, 0.28968203682001803, -0.41139400752802047, -0.21941004615397222, 0.16055682126372572, 0.1659412456916705, 0.09062020673732003, 0.022611516660582573, -0.232932679811793, 0.1530243206408716, -0.15166378476574355, -0.08811918462236082, -0.06693187995002635, 0.05633012817932233, 0.006289016857983605, -0.24242273498093708, 0.0011605108066672278, 0.09141203777624234, -0.012572195410968797, 0.004017818484064793, -0.05021976304781293, -0.12347031798694402, 0.1698462157307433, 0.04223917383393024, 0.04988475253414964, 0.11671282323077321, -0.14590338525632696, -0.10455551943891953, 0.35335731294847306, 0.011444739251953339, -0.21859665766598718, 0.18163973126380192, -0.10028422870523025, -0.1308021406241272, 0.1041221942452173, 0.12114958428897925, 0.06509268581585569, -0.13163997197501182, -0.013745924109788312, -0.0541709249719016, 0.20244094169428273, 0.07560675234623974, 0.027882396663358854, 0.12536529094401386, 0.17598290903373592, 0.18959467631253984, 0.16258737140770763, -0.02066552532994519, -0.07570080531821136, -0.24235040278083855, -0.10857889896198626, -0.22456754723849195, 0.010766398484796106, -0.11128360688256385, -0.14812160653865805, 0.43203657179950705, 0.15842084644076926, 0.24568174326672187, 0.0698700491706991, 0.2759463374412829, 0.11709596431859198, 0.07726415923661402, 0.13490553985560133, 0.25454760790866376, 0.10906246691761959, 0.08974785112565564, -0.19932633836062685, 0.1492695573401908, 0.009720598449630122] |
711.2443 | A note on polylogarithms on curves and abelian schemes | In this note we investigate the connection between polylogarithms on curves
and abelian schemes. The main result shows that the polylogarithm on the
abelian scheme can be obtained as the push-forward of the polylogarithm on a
suitable sub-curve. If the abelian scheme is the Jacobian of a smooth
projective curve, this push-forward can also be written as a cup-product with
the fundamental class of the curve.
| math.AG math.NT | in this note we investigate the connection between polylogarithms on curves and abelian schemes the main result shows that the polylogarithm on the abelian scheme can be obtained as the pushforward of the polylogarithm on a suitable subcurve if the abelian scheme is the jacobian of a smooth projective curve this pushforward can also be written as a cupproduct with the fundamental class of the curve | [['in', 'this', 'note', 'we', 'investigate', 'the', 'connection', 'between', 'polylogarithms', 'on', 'curves', 'and', 'abelian', 'schemes', 'the', 'main', 'result', 'shows', 'that', 'the', 'polylogarithm', 'on', 'the', 'abelian', 'scheme', 'can', 'be', 'obtained', 'as', 'the', 'pushforward', 'of', 'the', 'polylogarithm', 'on', 'a', 'suitable', 'subcurve', 'if', 'the', 'abelian', 'scheme', 'is', 'the', 'jacobian', 'of', 'a', 'smooth', 'projective', 'curve', 'this', 'pushforward', 'can', 'also', 'be', 'written', 'as', 'a', 'cupproduct', 'with', 'the', 'fundamental', 'class', 'of', 'the', 'curve']] | [-0.20056593405421486, 0.03974589705467224, -0.15203938075821055, 0.06605845660669729, -0.07130929813579176, -0.12200480997985737, 0.03962520871904086, 0.3523916351524266, -0.3379790786597313, -0.19715767658569597, 0.08968294988506276, -0.17348518204931734, -0.17759364342429873, 0.3036772438296766, -0.15638987402516333, -0.004450892832017306, 0.0367601153151499, 0.07739627516518037, -0.10927670286742575, -0.33478215311399917, 0.43707155537876213, -0.05308551691246755, 0.2545040330821366, 0.08704887054663038, 0.13131306108764626, 0.007877847363212795, -0.00721637952621236, -0.04279108037889907, -0.0947706935488289, 0.14941084664844145, 0.27408897221991513, 0.07224044249618822, 0.15735457816415213, -0.31211627943610604, -0.17971160430743388, 0.18169920147876395, 0.10050394437558045, 0.024621072055941277, 0.016027872156083697, -0.22213353672431727, 0.0757396956685239, -0.1760121514230515, -0.17159006057420012, -0.06458156002741872, -0.0025590493936430325, 0.08900081074203957, -0.22918186844749885, -0.009725200439623388, 0.04364013738196456, 0.11965594569108251, -0.023313923527232626, -0.06233749196469558, -0.053032114269268335, 0.060689029079212836, 0.028170238217254253, 0.10768046425867149, 0.054529278856617486, -0.09088751986255926, -0.10383641925837958, 0.41207610970983904, -0.13564913186498664, -0.20623154427404655, 0.10751136340144457, -0.1358385650074166, -0.11958966443710255, 0.09660216482977073, 0.10277748515011009, 0.19733766872774472, -0.01785143068286054, 0.15339639168991143, -0.1371702736695156, 0.11389118498614566, 0.08189741270766579, -0.020649725620663077, 0.14318114791813336, 0.08388319944567753, 0.024073649070818316, 0.1612421827740036, -0.029388532935020823, -0.03624444020710088, -0.42640420388091693, -0.23388201598021569, -0.1409616881847438, 0.1393292027694935, -0.12241541903980153, -0.14443481583712678, 0.42836081978517043, 0.04633131071530057, 0.19690248706011157, 0.09748074731253313, 0.28809619161554356, 0.14323708208658817, 0.0529549533896374, 0.027078055974208946, 0.15274585557706427, 0.1794684628927798, -0.01111776491090881, -0.186485532780573, 0.02058785511039649, 0.21486111886968667] |
711.2444 | Proof nets for display logic | This paper explores several extensions of proof nets for the Lambek calculus
in order to handle the different connectives of display logic in a natural way.
The new proof net calculus handles some recent additions to the Lambek
vocabulary such as Galois connections and Grishin interactions. It concludes
with an exploration of the generative capacity of the Lambek-Grishin calculus,
presenting an embedding of lexicalized tree adjoining grammars into the
Lambek-Grishin calculus.
| cs.CL | this paper explores several extensions of proof nets for the lambek calculus in order to handle the different connectives of display logic in a natural way the new proof net calculus handles some recent additions to the lambek vocabulary such as galois connections and grishin interactions it concludes with an exploration of the generative capacity of the lambekgrishin calculus presenting an embedding of lexicalized tree adjoining grammars into the lambekgrishin calculus | [['this', 'paper', 'explores', 'several', 'extensions', 'of', 'proof', 'nets', 'for', 'the', 'lambek', 'calculus', 'in', 'order', 'to', 'handle', 'the', 'different', 'connectives', 'of', 'display', 'logic', 'in', 'a', 'natural', 'way', 'the', 'new', 'proof', 'net', 'calculus', 'handles', 'some', 'recent', 'additions', 'to', 'the', 'lambek', 'vocabulary', 'such', 'as', 'galois', 'connections', 'and', 'grishin', 'interactions', 'it', 'concludes', 'with', 'an', 'exploration', 'of', 'the', 'generative', 'capacity', 'of', 'the', 'lambekgrishin', 'calculus', 'presenting', 'an', 'embedding', 'of', 'lexicalized', 'tree', 'adjoining', 'grammars', 'into', 'the', 'lambekgrishin', 'calculus']] | [-0.10013574597911096, 0.013138361718312142, -0.06958150500054537, 0.10948231811536817, -0.21986241754091962, -0.13534818846128985, 0.05379793196293512, 0.3346738618549327, -0.40318066209741593, -0.30637284399757925, 0.03190396588072705, -0.2757244007006078, -0.14554517457760136, 0.1347914678634892, -0.22748432530300908, -0.005233944039529478, 0.016349758047767927, 0.07569346057487206, -0.020601421529033655, -0.20476092458505865, 0.30135547086386616, -0.018884740796097567, 0.16391717848486045, 0.03143625364064577, 0.10801196915530403, 0.033055029678302754, -0.08319871746738192, 0.005760016733072173, -0.09211979725096427, 0.1886596439839144, 0.30815384513370586, 0.1990124236687388, 0.2856101726352329, -0.4846348616124039, -0.14080870307614685, 0.07513509432352344, 0.09408137189145659, 0.08743403970040906, -0.014360937827699621, -0.3588690463925751, 0.031641797897156695, -0.2312252615171839, -0.04500625552002892, -0.14997330940210482, 0.047577806795999725, -0.009088929663871375, -0.18787136893968662, -0.09809701099440875, 0.24918310222229068, 0.14843550526445182, -0.04041403514975813, -0.13478528721316252, 0.0223051696937059, 0.04159766590406357, -0.01632244797820278, 0.03440704542986104, 0.04910995698415897, -0.0978090460215446, -0.2398280844315362, 0.29741494541226976, -0.03206509759839834, -0.21683568347730792, 0.13705136720091105, -0.03822194350699724, -0.2088341751385113, 0.05541053691937942, 0.09506554930457767, 0.10343242241200847, -0.14836044430496617, 0.15261091407253996, -0.02709297930270853, 0.1495189268410888, 0.17709783974930016, 0.03876465176290367, 0.14709802668436733, 0.25314376661619564, 0.003767594931201196, 0.15206939515880716, 0.03296781955680377, -0.16949745009548334, -0.33594856221018965, -0.20996337593861028, -0.03230393872084752, -0.05752051015987887, -0.12781206699408768, -0.21193310151427563, 0.37781149686747034, 0.1785782495723434, 0.1475810776267883, 0.21134619904898475, 0.2834826407717987, 0.06466803399183538, 0.17368204887746505, 0.004596376739127535, 0.07350160571964602, 0.20315629621626627, 0.1470070323369033, -0.09595831177971313, 0.06454782232373271, 0.14296956770581154] |
711.2445 | An introduction to quantum gravity | After an overview of the physical motivations for studying quantum gravity,
we reprint THE FORMAL STRUCTURE OF QUANTUM GRAVITY, i.e. the 1978 Cargese
Lectures by Professor B.S. DeWitt, with kind permission of Springer. The reader
is therefore introduced, in a pedagogical way, to the functional integral
quantization of gravitation and Yang-Mills theory. It is hoped that such a
paper will remain useful for all lecturers or Ph.D. students who face the task
of introducing (resp. learning) some basic concepts in quantum gravity in a
relatively short time. In the second part, we outline selected topics such as
the braneworld picture with the same covariant formalism of the first part, and
spectral asymptotics of Euclidean quantum gravity with diffeomorphism-invariant
boundary conditions. The latter might have implications for singularity
avoidance in quantum cosmology.
| hep-th | after an overview of the physical motivations for studying quantum gravity we reprint the formal structure of quantum gravity ie the 1978 cargese lectures by professor bs dewitt with kind permission of springer the reader is therefore introduced in a pedagogical way to the functional integral quantization of gravitation and yangmills theory it is hoped that such a paper will remain useful for all lecturers or phd students who face the task of introducing resp learning some basic concepts in quantum gravity in a relatively short time in the second part we outline selected topics such as the braneworld picture with the same covariant formalism of the first part and spectral asymptotics of euclidean quantum gravity with diffeomorphisminvariant boundary conditions the latter might have implications for singularity avoidance in quantum cosmology | [['after', 'an', 'overview', 'of', 'the', 'physical', 'motivations', 'for', 'studying', 'quantum', 'gravity', 'we', 'reprint', 'the', 'formal', 'structure', 'of', 'quantum', 'gravity', 'ie', 'the', '1978', 'cargese', 'lectures', 'by', 'professor', 'bs', 'dewitt', 'with', 'kind', 'permission', 'of', 'springer', 'the', 'reader', 'is', 'therefore', 'introduced', 'in', 'a', 'pedagogical', 'way', 'to', 'the', 'functional', 'integral', 'quantization', 'of', 'gravitation', 'and', 'yangmills', 'theory', 'it', 'is', 'hoped', 'that', 'such', 'a', 'paper', 'will', 'remain', 'useful', 'for', 'all', 'lecturers', 'or', 'phd', 'students', 'who', 'face', 'the', 'task', 'of', 'introducing', 'resp', 'learning', 'some', 'basic', 'concepts', 'in', 'quantum', 'gravity', 'in', 'a', 'relatively', 'short', 'time', 'in', 'the', 'second', 'part', 'we', 'outline', 'selected', 'topics', 'such', 'as', 'the', 'braneworld', 'picture', 'with', 'the', 'same', 'covariant', 'formalism', 'of', 'the', 'first', 'part', 'and', 'spectral', 'asymptotics', 'of', 'euclidean', 'quantum', 'gravity', 'with', 'diffeomorphisminvariant', 'boundary', 'conditions', 'the', 'latter', 'might', 'have', 'implications', 'for', 'singularity', 'avoidance', 'in', 'quantum', 'cosmology']] | [-0.11649695023332672, 0.10943289557287474, -0.15422126989747675, 0.09290205537099817, -0.14601533004893202, -0.184745725464673, -0.025578681942971266, 0.28147720431781, -0.21810857490956329, -0.2947463192870371, 0.07414214376569904, -0.2481789654245216, -0.20301965519764553, 0.13235491127991436, -0.1523981766112305, 0.034647623524922906, 0.026525970298676035, 0.0719340997054917, -0.06155905352713441, -0.2924805907870266, 0.3460541348371171, 0.10599263868283992, 0.2079058352445487, 0.04124152619757811, 0.08878999185670196, 0.032020472913433067, -0.05281026948968531, 0.003782603443593128, -0.14995645757842113, 0.10419952088455094, 0.3412956542456309, 0.13985862726974835, 0.332794418588693, -0.44316164768151656, -0.19403635406909325, 0.027027643292801072, 0.09358834914635611, 0.14636532982650483, -0.03693769633670459, -0.32945229376147267, 0.0420063088091716, -0.19217429315770856, -0.1476285322853684, -0.027446867745255923, 0.03256393773552343, -0.06987469816466665, -0.14632477625299828, 0.008834374062574774, 0.048015336909079, 0.0995963973611707, -0.03841658168515005, -0.10618069840467158, 0.05208461619966898, 0.12179590163233456, 0.04859144448565732, 0.031245749162062148, 0.09513121139514082, -0.17063978289294887, -0.14003704548351295, 0.41620822202499586, -0.047872381177748634, -0.1715400535364472, 0.14128757590954086, -0.13728909223617716, -0.1884153623716863, 0.006473933778461495, 0.09697978518803725, 0.11542770842100024, -0.17416017693120858, 0.14707824896633598, 0.026475038848646725, 0.0807878116406998, 0.10406379381066742, 0.06929251888255013, 0.2623346467779679, 0.11445685232925507, 0.014248596424350644, 0.07876879041872294, 0.0024554043215564416, -0.13611151584786654, -0.4174636188638574, -0.21323089516624025, -0.15231746962411286, 0.09027440143564275, -0.05094169573622884, -0.1481682296188278, 0.3827362745779901, 0.13946653881913607, 0.08745301258927993, 0.03880239243775549, 0.23889845705463175, 0.0796288876156216, 0.016774623939156078, 0.07035960951235273, 0.20065828683647907, 0.15808243894743385, 0.15532259332400014, -0.16780141168758309, -0.022954372262567965, 0.12606981785911073] |
711.2446 | Wave packet methods in cavity QED | The Jaynes-Cummings model, with and without the rotating wave approximation,
is expressed in the conjugate variable representation and solved numerically by
wave packet propagation. Both cases are then cast into systems of two coupled
harmonic oscillators, reminiscent of coupled bound electronic potential curves
of diatomic molecules. Using the knowledge of such models, this approach of the
problem gives new insight of the dynamics. The effect of the rotating wave
approximation is discussed. The collapse-revival phenomenon is especially
analyzed in a non-standard manner. Extensions of the method is briefly
mentioned in terms of a three-level atom and the Dicke model.
| quant-ph | the jaynescummings model with and without the rotating wave approximation is expressed in the conjugate variable representation and solved numerically by wave packet propagation both cases are then cast into systems of two coupled harmonic oscillators reminiscent of coupled bound electronic potential curves of diatomic molecules using the knowledge of such models this approach of the problem gives new insight of the dynamics the effect of the rotating wave approximation is discussed the collapserevival phenomenon is especially analyzed in a nonstandard manner extensions of the method is briefly mentioned in terms of a threelevel atom and the dicke model | [['the', 'jaynescummings', 'model', 'with', 'and', 'without', 'the', 'rotating', 'wave', 'approximation', 'is', 'expressed', 'in', 'the', 'conjugate', 'variable', 'representation', 'and', 'solved', 'numerically', 'by', 'wave', 'packet', 'propagation', 'both', 'cases', 'are', 'then', 'cast', 'into', 'systems', 'of', 'two', 'coupled', 'harmonic', 'oscillators', 'reminiscent', 'of', 'coupled', 'bound', 'electronic', 'potential', 'curves', 'of', 'diatomic', 'molecules', 'using', 'the', 'knowledge', 'of', 'such', 'models', 'this', 'approach', 'of', 'the', 'problem', 'gives', 'new', 'insight', 'of', 'the', 'dynamics', 'the', 'effect', 'of', 'the', 'rotating', 'wave', 'approximation', 'is', 'discussed', 'the', 'collapserevival', 'phenomenon', 'is', 'especially', 'analyzed', 'in', 'a', 'nonstandard', 'manner', 'extensions', 'of', 'the', 'method', 'is', 'briefly', 'mentioned', 'in', 'terms', 'of', 'a', 'threelevel', 'atom', 'and', 'the', 'dicke', 'model']] | [-0.15831120498478413, 0.12982785538064712, -0.039587705650112846, 0.07479267557871273, -0.028755529898905542, -0.1550044651905244, 0.02515673880098444, 0.3222594831439883, -0.24944198216697333, -0.25195131456535874, 0.038373981349668795, -0.2636201870486592, -0.19392704389015722, 0.1981594518457323, 0.03473195908214859, 0.06331670573545677, 0.051983167725436465, 0.05023267014761164, -0.04510828154631937, -0.1968317267536703, 0.31985780067102176, 0.017443382043939443, 0.25506485445246174, 0.017804739422945665, 0.11876653966898418, 0.003287366254421567, 0.03458278885697993, -0.005599894293812791, -0.08060182513424544, 0.10510568841797949, 0.20565350506986954, 0.10754242085974024, 0.2468425820327618, -0.46042746428936493, -0.24809639853180734, 0.05414191338220715, 0.19009540741322467, 0.1683237124046292, -0.029421949368722812, -0.31478137176747273, -0.0462474194637528, -0.16645964599129828, -0.1850926545451541, -0.07726735536084332, -0.036905911176070345, 0.07183265394408896, -0.24112109337566476, 0.08136778548853754, 0.08734752516252826, 0.02062118257574662, -0.09294792404515913, -0.07925683390255077, 0.017630073890993088, 0.03154539823946026, 0.01843970170893678, 0.010016438579469017, 0.08436293691170937, -0.12410498943621989, -0.09214022010564804, 0.4574316146999899, -0.11869579730461342, -0.2494769937955866, 0.12747783751010594, -0.10531757313921587, -0.06939203836343656, 0.11151877060330313, 0.16161458332072756, 0.11996631479511659, -0.17374199139650423, 0.10213337769800082, -0.038750241256132016, 0.13255729571436392, 0.08058398240010696, 0.052201942926404454, 0.1845543561503291, 0.19601618736568424, -0.013820742554445233, 0.20804036139261278, -0.04903214787029558, -0.170462295939826, -0.2769664612909158, -0.12278230567145246, -0.1811022570337912, -0.009177707668218639, -0.07442222236414002, -0.15838657783325574, 0.4425237195077117, 0.10589393712297986, 0.12851136173074595, -0.0154839041101925, 0.28463434999940374, 0.1983267239229095, -0.012471145583373127, 0.03979028369572879, 0.2624578410006984, 0.2028998247550029, 0.06423761814155361, -0.2751732826599795, 0.024841600062438483, 0.0801353528648803] |
711.2447 | Production of hypernuclei with hadronic and electromagnetic probes | We present an overview of a fully covariant formulation of describing the
hypernuclear production with hadronic and electromagnetic probes. This theory
is based on an effective Lagrangian picture and it focuses on production
amplitudes that are described via creation, propagation and decay into relevant
channel of N*(1650), N*(1710) and N*(1720) intermediate baryonic resonance
states in the initial collision of the projectile with one of the target
nucleons. The bound state nucleon and hyperon wave functions are obtained by
solving the Dirac equation with appropriate scalar and vector potentials.
Specific examples are discussed for reactions which are of interest to current
and future experiments on the hypernuclear production.
| nucl-th | we present an overview of a fully covariant formulation of describing the hypernuclear production with hadronic and electromagnetic probes this theory is based on an effective lagrangian picture and it focuses on production amplitudes that are described via creation propagation and decay into relevant channel of n1650 n1710 and n1720 intermediate baryonic resonance states in the initial collision of the projectile with one of the target nucleons the bound state nucleon and hyperon wave functions are obtained by solving the dirac equation with appropriate scalar and vector potentials specific examples are discussed for reactions which are of interest to current and future experiments on the hypernuclear production | [['we', 'present', 'an', 'overview', 'of', 'a', 'fully', 'covariant', 'formulation', 'of', 'describing', 'the', 'hypernuclear', 'production', 'with', 'hadronic', 'and', 'electromagnetic', 'probes', 'this', 'theory', 'is', 'based', 'on', 'an', 'effective', 'lagrangian', 'picture', 'and', 'it', 'focuses', 'on', 'production', 'amplitudes', 'that', 'are', 'described', 'via', 'creation', 'propagation', 'and', 'decay', 'into', 'relevant', 'channel', 'of', 'n1650', 'n1710', 'and', 'n1720', 'intermediate', 'baryonic', 'resonance', 'states', 'in', 'the', 'initial', 'collision', 'of', 'the', 'projectile', 'with', 'one', 'of', 'the', 'target', 'nucleons', 'the', 'bound', 'state', 'nucleon', 'and', 'hyperon', 'wave', 'functions', 'are', 'obtained', 'by', 'solving', 'the', 'dirac', 'equation', 'with', 'appropriate', 'scalar', 'and', 'vector', 'potentials', 'specific', 'examples', 'are', 'discussed', 'for', 'reactions', 'which', 'are', 'of', 'interest', 'to', 'current', 'and', 'future', 'experiments', 'on', 'the', 'hypernuclear', 'production']] | [-0.1049137817343227, 0.2398959371007252, -0.07634371848968423, 0.09592880933571642, -0.07419838043034216, -0.10714293056750827, -0.007602522340080936, 0.313831403860213, -0.17393839519436113, -0.25444843764112235, -0.007918636017548634, -0.31443036224901955, -0.06271256360216676, 0.14790302094629157, 0.12215735019123722, 0.09332896589745428, 0.09666591704220329, 0.08280717133257155, -0.037867683815012605, -0.16961403192395222, 0.40377495712034894, 0.04636473136423069, 0.22133406778257864, 0.14450101411975397, 0.0818328901899056, 0.05811208836020571, -0.039320361918539125, -0.07678673886389376, -0.1237540661736645, 0.13039173685160038, 0.23487718821128953, 0.13968454273069433, 0.14216666549409382, -0.4453941246442427, -0.18404021885716051, 0.049556117948736544, 0.16494089845463494, 0.14929563055472084, -0.0826409935753218, -0.34467309104957594, 0.04193619985261793, -0.17846580307547735, -0.11393873947106789, -0.11573634953803827, 0.013464451310546877, 0.04282534388155093, -0.2859489655374575, 0.06995677397772453, -0.03695337500675608, 0.000819285231300795, -0.1297389922563474, -0.20622253634697088, -0.030720616612478952, 0.023089696439940518, 0.06691936423967236, 0.0638174206349198, 0.16881555373667279, -0.18517436042088561, -0.1009179276868997, 0.38295567995503055, -0.05182417402496544, -0.23531879475949524, 0.14577696690712316, -0.12775078785434912, -0.10171007573230315, 0.11535026886822464, 0.19471366309751778, 0.12163428989212925, -0.20240468555347663, 0.07915474851372288, 0.005949479945697039, 0.10903298982993534, 0.06713443371156126, 0.08504310837363667, 0.196450508913356, 0.2142301079703965, -0.02862688783712894, 0.06442348840080689, -0.04594356747927301, -0.1422541891289962, -0.4008509752767108, -0.09981249730487868, -0.11749447846054056, 0.03932382497176524, -0.014981001197734725, -0.11004601716647082, 0.389336784291908, 0.051194355368454264, 0.21295928896979263, -0.03450346232291798, 0.29209912535255755, 0.14974574152397635, 0.01540803216467394, 0.06640301444176062, 0.28187374707102497, 0.2085738862564387, 0.09432446817262534, -0.25977949770689707, 0.02268053719199428, 0.05217090441636463] |
711.2448 | Characteristic temperatures and spectral appearance of ULX disks | A standard disk around an accreting black hole may become effectively
optically-thin and scattering dominated in the inner region, for high accretion
rates (as already predicted by the Shakura-Sunyaev model). Radiative emission
from that region is less efficient than blackbody emission, leading to an
increase of the colour temperature in the inner region, by an order of
magnitude above the effective temperature. We show that the integrated spectrum
has a power-law-like shape in the ~ 1-5 keV band, with a soft excess at lower
energies and a downward curvature or break at higher energies, in agreement
with the observed spectra of many ultraluminous X-ray sources.
| astro-ph | a standard disk around an accreting black hole may become effectively opticallythin and scattering dominated in the inner region for high accretion rates as already predicted by the shakurasunyaev model radiative emission from that region is less efficient than blackbody emission leading to an increase of the colour temperature in the inner region by an order of magnitude above the effective temperature we show that the integrated spectrum has a powerlawlike shape in the 15 kev band with a soft excess at lower energies and a downward curvature or break at higher energies in agreement with the observed spectra of many ultraluminous xray sources | [['a', 'standard', 'disk', 'around', 'an', 'accreting', 'black', 'hole', 'may', 'become', 'effectively', 'opticallythin', 'and', 'scattering', 'dominated', 'in', 'the', 'inner', 'region', 'for', 'high', 'accretion', 'rates', 'as', 'already', 'predicted', 'by', 'the', 'shakurasunyaev', 'model', 'radiative', 'emission', 'from', 'that', 'region', 'is', 'less', 'efficient', 'than', 'blackbody', 'emission', 'leading', 'to', 'an', 'increase', 'of', 'the', 'colour', 'temperature', 'in', 'the', 'inner', 'region', 'by', 'an', 'order', 'of', 'magnitude', 'above', 'the', 'effective', 'temperature', 'we', 'show', 'that', 'the', 'integrated', 'spectrum', 'has', 'a', 'powerlawlike', 'shape', 'in', 'the', '15', 'kev', 'band', 'with', 'a', 'soft', 'excess', 'at', 'lower', 'energies', 'and', 'a', 'downward', 'curvature', 'or', 'break', 'at', 'higher', 'energies', 'in', 'agreement', 'with', 'the', 'observed', 'spectra', 'of', 'many', 'ultraluminous', 'xray', 'sources']] | [-0.018245406587643977, 0.14835353809464252, -0.041900849713084214, 0.12670112152857024, -0.023145276694916762, -0.07495154231750908, 0.028066211541254934, 0.43560556250696, -0.19217799309318742, -0.3719720180826978, 0.0763786484961971, -0.35152786900289357, 0.028055252952841468, 0.2246075306365338, -0.0007731870268449151, -0.01971258309025031, -0.040411743333187096, -0.024809554344616257, -0.07049121617679842, -0.12266117982709637, 0.28083006413474393, 0.15810873211236098, 0.18752501329604107, 0.04763809276762633, 0.028730036641578548, -0.07348667892018476, 0.029750113797490485, 0.001106762582472024, -0.11377718266339798, 0.06813481676642998, 0.23900928686802778, -0.005391643924178005, 0.1986325572226913, -0.37001114311323574, -0.28046935436745674, 0.08005344392194484, 0.1935170368703369, 0.03072219650941686, -0.06840346074918321, -0.18390529789254428, 0.06196244611727217, -0.22839686844068077, -0.16664311974846685, 0.04476762211505467, 0.0387820990738244, -0.08393563213310419, -0.23636270431318104, 0.14760380749486593, 0.05867807420481068, 0.021793411838678785, -0.11995367144341938, -0.09337408309175561, -0.09112579670125762, 0.02162866875788985, 0.06562612820618177, 0.0658455959962269, 0.20970509413970062, -0.1615916241023045, -0.07135975908917877, 0.34588625759352, -0.11352327423880454, 0.01334420213690744, 0.195909227262466, -0.23849410308489147, -0.09427938593748528, 0.3067726100114389, 0.13137392694233524, 0.11248469846088063, -0.11997731701614192, 0.03380719119629178, 0.017519353409835067, 0.24810916942974123, 0.07436607419871367, 0.05152044247754999, 0.3333344950134723, 0.11839017647323019, 0.040916796441776496, 0.1513586355588184, -0.1782667398746036, -0.04339152535137076, -0.2651709293266042, -0.06340254734879217, -0.13681449468444604, 0.06213236055918969, -0.14374279059316344, -0.1375528189634609, 0.3343366124228431, 0.08530731680198536, 0.25992217804126155, 0.035373772237037956, 0.3232647603156063, 0.17316056987552797, 0.09452214128731821, 0.18206268017932487, 0.34721366005788484, 0.10197792870726866, 0.11525539621316756, -0.22477692628252463, 0.0355127213943678, -0.004904218876617961] |
711.2449 | The X-ray spectrum of RX J1914.4+2456 revisited | It has been proposed that RX J1914.4+2456 is a stellar binary system with an
orbital period of 9.5 mins. As such it shares many similar properties with RX
J0806.3+1527 (5.4 mins). However, while the X-ray spectrum of RX J0806.3+1527
can be modelled using a simple absorbed blackbody, the X-ray spectrum of RX
J1914.4+2456 has proved difficult to fit using a physically plausible model. In
this paper we re-examine the available X-ray spectra of RX J1914.4+2456 taken
using XMM-Newton. We find that the X-ray spectra can be fitted using a simple
blackbody and an absorption component which has a significant enhancement of
neon compared to the solar value. We propose that the material in the
inter-binary system is significantly enhanced with neon. This makes its
intrinsic X-ray spectrum virtually identical to RX J0806.3+1527. We re-access
the X-ray luminosity of RX J1914.4+2456 and the implications of these results.
| astro-ph | it has been proposed that rx j191442456 is a stellar binary system with an orbital period of 95 mins as such it shares many similar properties with rx j080631527 54 mins however while the xray spectrum of rx j080631527 can be modelled using a simple absorbed blackbody the xray spectrum of rx j191442456 has proved difficult to fit using a physically plausible model in this paper we reexamine the available xray spectra of rx j191442456 taken using xmmnewton we find that the xray spectra can be fitted using a simple blackbody and an absorption component which has a significant enhancement of neon compared to the solar value we propose that the material in the interbinary system is significantly enhanced with neon this makes its intrinsic xray spectrum virtually identical to rx j080631527 we reaccess the xray luminosity of rx j191442456 and the implications of these results | [['it', 'has', 'been', 'proposed', 'that', 'rx', 'j191442456', 'is', 'a', 'stellar', 'binary', 'system', 'with', 'an', 'orbital', 'period', 'of', '95', 'mins', 'as', 'such', 'it', 'shares', 'many', 'similar', 'properties', 'with', 'rx', 'j080631527', '54', 'mins', 'however', 'while', 'the', 'xray', 'spectrum', 'of', 'rx', 'j080631527', 'can', 'be', 'modelled', 'using', 'a', 'simple', 'absorbed', 'blackbody', 'the', 'xray', 'spectrum', 'of', 'rx', 'j191442456', 'has', 'proved', 'difficult', 'to', 'fit', 'using', 'a', 'physically', 'plausible', 'model', 'in', 'this', 'paper', 'we', 'reexamine', 'the', 'available', 'xray', 'spectra', 'of', 'rx', 'j191442456', 'taken', 'using', 'xmmnewton', 'we', 'find', 'that', 'the', 'xray', 'spectra', 'can', 'be', 'fitted', 'using', 'a', 'simple', 'blackbody', 'and', 'an', 'absorption', 'component', 'which', 'has', 'a', 'significant', 'enhancement', 'of', 'neon', 'compared', 'to', 'the', 'solar', 'value', 'we', 'propose', 'that', 'the', 'material', 'in', 'the', 'interbinary', 'system', 'is', 'significantly', 'enhanced', 'with', 'neon', 'this', 'makes', 'its', 'intrinsic', 'xray', 'spectrum', 'virtually', 'identical', 'to', 'rx', 'j080631527', 'we', 'reaccess', 'the', 'xray', 'luminosity', 'of', 'rx', 'j191442456', 'and', 'the', 'implications', 'of', 'these', 'results']] | [-0.07659549549324056, 0.031619651118901, -0.10200676353877947, 0.05979291406421833, -0.0878422621458973, -0.15847669068838738, 0.04023410579626614, 0.4786601572310271, -0.21614047751621637, -0.2996178663348498, 0.10310760296862062, -0.3232558077928444, -0.0713023295935422, 0.23715026335860923, -0.05522667865383707, -0.007781754152559076, 0.05394076820054691, -0.009589545559520796, -0.03883644217172357, -0.23501836569750145, 0.24240862245492842, 0.12032451358949128, 0.15275149950789518, -0.014509962415577818, 0.09092686514127744, -0.017748146688674055, -0.005109843495979663, -0.0020475566246840235, -0.0491115047511376, 0.06035469349295105, 0.22343737972192212, 0.12105038811050815, 0.1526561494544308, -0.31531340690418974, -0.2187217698776967, 0.09751343841453988, 0.17258295384299469, -0.04810434559356957, -0.021207579185114536, -0.21116403136673473, 0.08852310297206963, -0.2756174265371942, -0.14372420605042413, 0.006288048779362277, 0.04040854836157077, 0.025584749190522716, -0.2194735889629244, 0.0767876778805807, 0.020265921491057905, 0.03868608998712025, -0.17946000276085577, -0.08261729995815772, -0.025026033948213882, 0.04550021854612007, 0.02457088280599947, 0.04135087047295313, 0.0801735921565137, -0.05673000056054188, -0.08379925616573516, 0.38666788681269915, -0.07367068590685623, -0.008787382405238508, 0.1941577742667231, -0.171198693005215, -0.1777281677733137, 0.1809290599824274, 0.05586499827977729, 0.10114550489409227, -0.18766926288961955, 0.06728998174785623, -0.08945753302884428, 0.28715161824190655, 0.05125141094043238, 0.0765204536313931, 0.2695903979809572, 0.13408379824289873, -0.05701311030273632, 0.16151029464616504, -0.20910127414390445, 0.0614339639783569, -0.18866637171794698, -0.06783164721875362, -0.16401722283447034, 0.11292677800560191, -0.0628077721042632, -0.1362683972701022, 0.35251704062022626, 0.08923701852662107, 0.20683894404018782, -0.011798642090145396, 0.32685272377111935, 0.18802774538308356, 0.053138614746710854, 0.10567437856432611, 0.30434447473029874, 0.14178541668831077, 0.08956155924713366, -0.22626167090214178, 0.08340655876425644, -0.03447313940037705] |
711.245 | Testing Primordial Abundances With Sterile Neutrinos | The mixing between sterile and active neutrinos is taken into account in the
calculation of Big Bang Nucleosynthesis. The abundances of primordial elements,
like D, 3He, 4He and 7Li, are calculated by including sterile neutrinos, and by
using finite chemical potentials. It is found that the resulting theoretical
abundances are consistent with WMAP data on baryonic densities, and with limits
of LSND on mixing angles, only if 7Li is excluded from the statistical analysis
of theoretical and experimental results.
| astro-ph | the mixing between sterile and active neutrinos is taken into account in the calculation of big bang nucleosynthesis the abundances of primordial elements like d 3he 4he and 7li are calculated by including sterile neutrinos and by using finite chemical potentials it is found that the resulting theoretical abundances are consistent with wmap data on baryonic densities and with limits of lsnd on mixing angles only if 7li is excluded from the statistical analysis of theoretical and experimental results | [['the', 'mixing', 'between', 'sterile', 'and', 'active', 'neutrinos', 'is', 'taken', 'into', 'account', 'in', 'the', 'calculation', 'of', 'big', 'bang', 'nucleosynthesis', 'the', 'abundances', 'of', 'primordial', 'elements', 'like', 'd', '3he', '4he', 'and', '7li', 'are', 'calculated', 'by', 'including', 'sterile', 'neutrinos', 'and', 'by', 'using', 'finite', 'chemical', 'potentials', 'it', 'is', 'found', 'that', 'the', 'resulting', 'theoretical', 'abundances', 'are', 'consistent', 'with', 'wmap', 'data', 'on', 'baryonic', 'densities', 'and', 'with', 'limits', 'of', 'lsnd', 'on', 'mixing', 'angles', 'only', 'if', '7li', 'is', 'excluded', 'from', 'the', 'statistical', 'analysis', 'of', 'theoretical', 'and', 'experimental', 'results']] | [-0.000316174842322929, 0.299232358307448, -0.03655242898701867, 0.10088985018827068, -0.0017880232462400122, -0.1244332251150774, 0.075478257493505, 0.30871540642213785, -0.1776283471668257, -0.3339094180448712, -0.005589792135030126, -0.36978662351169916, 0.04012623422225065, 0.1878102652233424, 0.04368839857368907, 0.029734729995503077, 0.11071551531034557, -0.015722505913316448, -0.06086684158366598, -0.24148926235694154, 0.3015373181021195, 0.0739082991723207, 0.19124470253864043, 0.07114737615861659, 0.004418934944463021, -0.1338633593596235, -0.09100404322807547, -0.030633068867499315, -0.13369346514708566, 0.06923536403411173, 0.19463091619206663, 0.1690572473703872, 0.07038602421555339, -0.45886606649979006, -0.25858938334438997, 0.14836140771549713, 0.1456997504110059, 0.10521850183818347, -0.11914050148481715, -0.3339198059815017, 0.04040549036492653, -0.1374162553715272, -0.07120917086147621, -0.08405774363752784, 0.023334036663740496, -0.02557306213575545, -0.28044203507914384, 0.12250864393773335, -0.022488950109227173, 0.041507535425450985, -0.0943666885995978, -0.2651342363273607, -0.0491874764991712, 0.03989129848896137, 0.12174068819849362, -0.07876732984934992, 0.1262789102112049, -0.06501556848046146, -0.004495189195098002, 0.4624614176587968, -0.11433653079586316, -0.07015387947329238, 0.11621454127038582, -0.1879146769171274, -0.14825507867020332, 0.12273267347695707, 0.1156063233104334, 0.01995589357618054, -0.1436702986188893, 0.140489438886878, -0.04393001476043387, 0.1899084269475852, 0.09127153099007622, -0.033868788004723156, 0.25352934707852104, 0.21085404187641282, 0.011175770215289314, -0.07899657231048221, -0.1354183418782357, -0.06633182651587302, -0.3426343091657456, -0.07127279820085704, -0.11415077414057112, 0.05620648081361351, -0.12312991306376556, -0.09189058506059684, 0.32775180314113445, 0.07865600117859489, 0.24269473514979398, -0.028834138289565527, 0.3516754818302167, 0.034549964285349545, 0.019268090541981444, 0.029611915205546385, 0.34773435073468506, 0.25553920652269374, 0.0705852143089228, -0.2856071129046333, 0.10481508532421122, 0.030972977946925013] |
711.2451 | D-branes at Singularities and String Phenomenology | In these notes we give an introduction to some of the concepts involved in
constructing SM-like gauge theories in systems of branes at singularities of CY
manifolds. These notes are an expanded version of lectures given by Herman
Verlinde at the Cargese 2006 Summer School.
| hep-th | in these notes we give an introduction to some of the concepts involved in constructing smlike gauge theories in systems of branes at singularities of cy manifolds these notes are an expanded version of lectures given by herman verlinde at the cargese 2006 summer school | [['in', 'these', 'notes', 'we', 'give', 'an', 'introduction', 'to', 'some', 'of', 'the', 'concepts', 'involved', 'in', 'constructing', 'smlike', 'gauge', 'theories', 'in', 'systems', 'of', 'branes', 'at', 'singularities', 'of', 'cy', 'manifolds', 'these', 'notes', 'are', 'an', 'expanded', 'version', 'of', 'lectures', 'given', 'by', 'herman', 'verlinde', 'at', 'the', 'cargese', '2006', 'summer', 'school']] | [-0.1275695705993308, 0.16654090703943641, -0.12662160253773133, 0.11672043138080174, -0.06820220086309645, -0.18702534215473052, -0.07955641167031394, 0.24877868013249504, -0.14918666309418363, -0.2994117565453053, 0.13612896998464646, -0.27598405769094825, -0.1709363688611322, 0.1513296069163415, -0.24815603494644164, -0.06551008698427015, 0.05938383625406358, -0.0033938610305388767, -0.09344785457683934, -0.4467480186786916, 0.38368912084649004, 0.1401811303363906, 0.17463033855375315, 0.08018317098418871, 0.12454053494665358, 0.0029613402568631703, -0.05473585329535935, -0.0634149479886724, -0.1927370307346185, 0.1842292776952187, 0.37102654402454693, 0.08736495674949968, 0.20775713730189535, -0.4600665842493375, -0.08186984040463964, 0.03579284855061107, 0.06791982034014331, 0.10391472424897882, 0.007247419375926256, -0.34502716432842945, 0.017090672709875635, -0.15857994821336535, -0.16599137866093466, -0.03773858403631796, 0.03070986462989822, -0.04649481260114246, -0.11555292831940783, -0.020312919415947463, 0.05145646527202593, 0.236636452190578, -0.03955167275142028, -0.14858741213877996, -0.04373030440054006, 0.029713735468168224, 0.05365495177813702, 0.027184316971235804, 0.08487406191933486, -0.13341029327776696, -0.1963377707120445, 0.32897329363558026, -0.03562216548533696, -0.1271165069606569, 0.14122099197573132, -0.10034583094012406, -0.2622038808133867, 0.11430755361086792, 0.19016912436733643, 0.1266344172724833, -0.13117085664222639, 0.16498750506175888, 0.00010226021921779546, 0.04384264348385235, 0.15683467672723864, 0.010041777830984857, 0.302769989044302, 0.03352759079490271, -0.0473284798881246, 0.0676362821004457, 0.06108047490318616, -0.10889968340181642, -0.4837143095003234, -0.1411024062997765, -0.11781163426219589, 0.09109993269149629, -0.0033136882301833892, -0.11705956314173009, 0.3966030995051066, 0.08124874434951279, 0.16394415998624431, 0.0015401724674221542, 0.0973553598134054, 0.08698120295173592, -0.037032718880153775, 0.04474607184529304, 0.16176642406434338, 0.15334830615772968, 0.18308152539862527, -0.04286983580225044, -0.11389423934742808, 0.2865284320587913] |
711.2452 | The Yang-Mills Vacuum in Coulomb Gauge in D=2+1 Dimensions | The variational approach to the Hamilton formulation of Yang-Mills theory in
Coulomb gauge developed by the present authors previously is applied to
Yang-Mills theory in 2+1 dimensions and is confronted with the existing lattice
data. We show that the resulting Dyson-Schwinger equations (DSE) yield
consistent solutions in 2+1 dimensions only for infrared divergent ghost form
factor and gluon energy. The obtained numerical solutions of the DSE reproduce
the analytic infrared results and are in satisfactory agreement with the
existing lattice date in the whole momentum range.
| hep-th | the variational approach to the hamilton formulation of yangmills theory in coulomb gauge developed by the present authors previously is applied to yangmills theory in 21 dimensions and is confronted with the existing lattice data we show that the resulting dysonschwinger equations dse yield consistent solutions in 21 dimensions only for infrared divergent ghost form factor and gluon energy the obtained numerical solutions of the dse reproduce the analytic infrared results and are in satisfactory agreement with the existing lattice date in the whole momentum range | [['the', 'variational', 'approach', 'to', 'the', 'hamilton', 'formulation', 'of', 'yangmills', 'theory', 'in', 'coulomb', 'gauge', 'developed', 'by', 'the', 'present', 'authors', 'previously', 'is', 'applied', 'to', 'yangmills', 'theory', 'in', '21', 'dimensions', 'and', 'is', 'confronted', 'with', 'the', 'existing', 'lattice', 'data', 'we', 'show', 'that', 'the', 'resulting', 'dysonschwinger', 'equations', 'dse', 'yield', 'consistent', 'solutions', 'in', '21', 'dimensions', 'only', 'for', 'infrared', 'divergent', 'ghost', 'form', 'factor', 'and', 'gluon', 'energy', 'the', 'obtained', 'numerical', 'solutions', 'of', 'the', 'dse', 'reproduce', 'the', 'analytic', 'infrared', 'results', 'and', 'are', 'in', 'satisfactory', 'agreement', 'with', 'the', 'existing', 'lattice', 'date', 'in', 'the', 'whole', 'momentum', 'range']] | [-0.05803143805932513, 0.08911419700462977, -0.10925398284818458, 0.0681664627451493, -0.06480514717309974, -0.07046385213927647, -0.011925093315238522, 0.34982499896093855, -0.14965648355698863, -0.2814603003965647, 0.08172385532511832, -0.2929906613020183, -0.1428977316026312, 0.12905414429016757, -0.027220984043683425, 0.11084124803283187, 0.09756097185349655, 0.014526877314025579, -0.0665639778680363, -0.28148038737844067, 0.31694752633095136, -0.0013467564496623223, 0.2810464946791356, 0.07377392498689682, 0.08901131029787668, -0.0020918580892950642, -0.06607151579458354, 0.07127055561516521, -0.16730788001713823, 0.11646072026125567, 0.26071991387018284, 0.04098736658302504, 0.15029677752741114, -0.4240922294123921, -0.24842235176325883, -0.0023017423552309357, 0.16169655807641184, 0.14132340387766099, -0.01950938951462334, -0.241698048421355, 0.049293352420939955, -0.1635019158143117, -0.21410257470398752, -0.12949646461408498, -0.05490677164824203, -0.029901382253440315, -0.2957966499853619, 0.12758369142796064, -0.06794170126979521, 0.037070579469463856, -0.1174061284346376, -0.17327610074629096, -0.038530351346369486, 0.05657077496221592, 0.08169034190833309, 0.1032378226478021, 0.03650566816958057, -0.20240834670487878, -0.12843802289192585, 0.3834347085117601, -0.06724786706171323, -0.1916241672236559, 0.18645389881093316, -0.1500843944688609, -0.1341114633359275, 0.18252319948704437, 0.07106758237188292, 0.11919062042630515, -0.17553276563236533, 0.18636364752202034, -0.06324471619120951, 0.16437714638968193, 0.08546383087090108, 0.029336527189518038, 0.13922127005969023, 0.11862227663148714, -0.013802085418340772, 0.08056279986847711, 0.011600178991292799, -0.20275380472154464, -0.3433125548248807, -0.06644386337896765, -0.1441555224077473, 0.05209093840337943, -0.11755850109719092, -0.12962324436494085, 0.33324129104263656, 0.1712088480478066, 0.12560265893549766, 0.055982042060688485, 0.26407061402447696, 0.17366112255339705, 0.0955406787404574, 0.08303928135915897, 0.30604575929600136, 0.13365462321928853, 0.1628011471461938, -0.2793857267337613, -0.13597885987093283, 0.15067773986997646] |
711.2453 | Global regularity for the 3D Navier-Stokes and the 3D Euler equations | The article `Global regularity for the 3D Navier-Stokes and the 3D Euler
equations'(arXiv:0711.2453) is withdrawn due to a serious error in the proof.
| math.AP | the article global regularity for the 3d navierstokes and the 3d euler equationsarxiv07112453 is withdrawn due to a serious error in the proof | [['the', 'article', 'global', 'regularity', 'for', 'the', '3d', 'navierstokes', 'and', 'the', '3d', 'euler', 'equationsarxiv07112453', 'is', 'withdrawn', 'due', 'to', 'a', 'serious', 'error', 'in', 'the', 'proof']] | [-0.12117346401580355, -0.09507000209255652, -0.05710455052427609, 0.09310343500163237, -0.07858936010267246, -0.10592172639867799, -0.062036197928881105, 0.1788931448351253, -0.32342361455613916, -0.3057382012802092, 0.18384114518994465, -0.25909066961189225, -0.10024677945131605, 0.1187905797904188, -0.25327112119306217, 0.17826269939541817, 0.11470474319701846, -0.07921526809646325, -0.09781655791977589, -0.23134278681721876, 0.37272795696150174, 0.03356298618018627, 0.29961691491983156, 0.1443646422333338, 0.10347112399441274, -0.0815413264896382, -0.06521012646738779, 0.0017129982059652155, -0.1879929020492868, 0.10830844917588613, 0.1879276575689966, -0.011312401260841976, 0.35863873633471405, -0.48224384477362037, -0.1903741596351293, 0.07677158840339292, 0.16648802254348993, 0.19879344986243683, -0.09162366750057448, -0.37161217583343387, 0.17827534485100346, -0.14380307669158687, -0.19894903601909225, 0.006416883319616318, 0.03051379881799221, -0.030246134212409907, -0.26927348294041376, 0.10770110887559978, 0.15801476045850327, 0.15257347671484406, -0.10478329590775749, -0.07102796268141405, -0.0354429226030003, 0.12957031099887734, 0.14911107984583147, 0.12324534212662415, -0.011203844057904049, -0.2261963944712823, 0.006694492989812385, 0.4441673636267131, 0.04403860291296786, -0.33631337874315004, 0.15935099243440412, -0.07923333414576271, -0.06446519841186026, 0.1987642405385321, 0.1928708033466881, 0.07222072297537868, -0.10660562499172309, 0.13012094219712625, -0.08358845453370702, 0.17209065180610528, 0.07947336729954589, -0.04144344986839728, 0.0672361972657117, 0.1668484355746345, 0.1173266270197928, 0.08595553458541293, -0.1332744707125874, -0.07187697329473766, -0.3132783083075827, -0.2803553131154992, -0.2345646279440685, 0.12384308997372334, -0.012084857052038635, -0.22421753309159118, 0.41759723153981293, 0.2293194948949597, 0.08727098696611145, 0.08695034981197254, 0.35763657228513196, 0.1141368964295411, -0.010452814252031121, 0.06452122679911554, 0.2579313992437991, 0.13158330084248024, 0.21530876494944096, -0.15802834405225108, 0.1005370908586139, 0.29275245892561297] |
711.2454 | Ladder Operators for q-orthogonal Polynomials | The q-difference analog of the classical ladder operators is derived for
those orthogonal polynomials arising from a class of indeterminate moments
problem.
| math-ph math.CA math.MP | the qdifference analog of the classical ladder operators is derived for those orthogonal polynomials arising from a class of indeterminate moments problem | [['the', 'qdifference', 'analog', 'of', 'the', 'classical', 'ladder', 'operators', 'is', 'derived', 'for', 'those', 'orthogonal', 'polynomials', 'arising', 'from', 'a', 'class', 'of', 'indeterminate', 'moments', 'problem']] | [-0.19732458127493208, 0.06272237832573327, -0.007969925764799964, 0.09068118417318063, -0.13404965850482273, -0.1124635761900043, -0.03716846767135642, 0.22526884099087593, -0.4058010239492763, -0.17612881323491986, 0.12086404929339717, -0.30665877647697926, -0.15075393075610258, 0.22425653188574043, -0.03993587352504784, 0.07394986217100681, 0.03172722294799645, 0.07876813134432516, -0.20477084442973137, -0.17143626892092553, 0.4099337581375783, -0.05223469211804596, 0.2090597894381393, -0.14670640814372085, 0.13175151564858176, 0.016063274096020243, -0.05178451792083003, -0.058126790364357556, -0.03946841223461723, 0.16544896564763886, 0.325304162773219, 0.06443496865474364, 0.16160889070604093, -0.3545035490427505, -0.07839447767897086, 0.2072560895573009, 0.1343407085250047, 0.11065563432533633, -0.011196728626435453, -0.2917915406552228, -0.0003568713807246902, -0.17109502854079686, -0.23808646820146928, 0.019962434318255295, -0.013220348818735643, 0.11473104859363627, -0.3663612598214637, 0.10726622234902937, 0.13474756428463894, 0.10080548449927433, -0.04699130838906223, -0.24673521840436893, 0.07252252813089978, 0.05633294635282999, -0.04407303565478122, 0.01065246748145331, 0.0048662361646579074, -0.07768132852189327, -0.19811401812529023, 0.40520681542429055, -0.01827823061665351, -0.24906193452294578, 0.0823684949322011, -0.14118202424354173, -0.1391870584127239, 0.11936901408162984, 0.07386546615849841, 0.1321416662751951, -0.16011886489154262, 0.18068217460743405, -0.11380211818455295, 0.030132134275680237, 0.09254894524135372, 0.1003195672211322, 0.16233280961486427, -0.08122876728884876, 0.03584615149619905, 0.2344282872297547, 0.027032200927020644, -0.19234603169289502, -0.2763057383285327, -0.09217298945242708, -0.18134029819206757, 0.10309315697205337, -0.14327841084873813, -0.21293149888515472, 0.37537810299545527, 0.0585978876624722, 0.1164848010309718, 0.10435643072494051, 0.20755792743611065, 0.2465963029217991, 0.060473556820811195, -0.031182631522163072, 0.1455705136230046, 0.27807981482791627, 0.09489198108415374, -0.20200583572626452, -0.005124267741021785, 0.31289244951172307] |
711.2455 | Physical boundary state for the quantum tetrahedron | We consider stability under evolution as a criterion to select a physical
boundary state for the spinfoam formalism. As an example, we apply it to the
simplest spinfoam defined by a single quantum tetrahedron and solve the
associated eigenvalue problem at leading order in the large spin limit. We show
that this fixes uniquely the free parameters entering the boundary state.
Remarkably, the state obtained this way gives a correlation between edges which
runs at leading order with the inverse distance between the edges, in agreement
with the linearized continuum theory. Finally, we give an argument why this
correlator represents the propagation of a pure gauge, consistently with the
absence of physical degrees of freedom in 3d general relativity.
| gr-qc hep-th | we consider stability under evolution as a criterion to select a physical boundary state for the spinfoam formalism as an example we apply it to the simplest spinfoam defined by a single quantum tetrahedron and solve the associated eigenvalue problem at leading order in the large spin limit we show that this fixes uniquely the free parameters entering the boundary state remarkably the state obtained this way gives a correlation between edges which runs at leading order with the inverse distance between the edges in agreement with the linearized continuum theory finally we give an argument why this correlator represents the propagation of a pure gauge consistently with the absence of physical degrees of freedom in 3d general relativity | [['we', 'consider', 'stability', 'under', 'evolution', 'as', 'a', 'criterion', 'to', 'select', 'a', 'physical', 'boundary', 'state', 'for', 'the', 'spinfoam', 'formalism', 'as', 'an', 'example', 'we', 'apply', 'it', 'to', 'the', 'simplest', 'spinfoam', 'defined', 'by', 'a', 'single', 'quantum', 'tetrahedron', 'and', 'solve', 'the', 'associated', 'eigenvalue', 'problem', 'at', 'leading', 'order', 'in', 'the', 'large', 'spin', 'limit', 'we', 'show', 'that', 'this', 'fixes', 'uniquely', 'the', 'free', 'parameters', 'entering', 'the', 'boundary', 'state', 'remarkably', 'the', 'state', 'obtained', 'this', 'way', 'gives', 'a', 'correlation', 'between', 'edges', 'which', 'runs', 'at', 'leading', 'order', 'with', 'the', 'inverse', 'distance', 'between', 'the', 'edges', 'in', 'agreement', 'with', 'the', 'linearized', 'continuum', 'theory', 'finally', 'we', 'give', 'an', 'argument', 'why', 'this', 'correlator', 'represents', 'the', 'propagation', 'of', 'a', 'pure', 'gauge', 'consistently', 'with', 'the', 'absence', 'of', 'physical', 'degrees', 'of', 'freedom', 'in', '3d', 'general', 'relativity']] | [-0.13517303019370727, 0.12130609937545359, -0.09625027475471631, 0.04866406699630799, -0.05818680322830792, -0.1099312244288373, 0.028395456656179697, 0.31340622793523076, -0.25850338695429953, -0.29983805651001694, 0.0675750135242579, -0.258682559091723, -0.1491395019213943, 0.10219536109694413, -0.004976288092659176, 0.03311423158288753, 0.05218343591677541, 0.07721286699441927, -0.09789171748199821, -0.1867291950366358, 0.3388026488764885, 0.03462285345259804, 0.24115461380291386, 0.037983535289541355, 0.11587657147871493, 0.05123488138969831, 0.04409478193915942, 0.02958819843406061, -0.1606571129565406, 0.08827485033201382, 0.23159329752054283, 0.04819186001296053, 0.2193901320966352, -0.42366104055696924, -0.1998228845851762, 0.06051723252856681, 0.1123313430829772, 0.1537191945024445, 0.0009351158671143676, -0.24584649182355203, 0.03466283611585425, -0.1521276326756142, -0.21711456699848583, -0.05484490999717172, -0.0065917739910738805, -0.10393281818657112, -0.2647985799801575, 0.09379151286635579, 0.029781837810707444, 0.0020580488030149157, -0.03764639218423922, -0.07488473903137345, -0.023305482512825177, 0.1398952860275612, 0.03458450377836604, 0.05411290965520409, 0.0513066123631008, -0.14533948679180705, -0.12590453911429866, 0.39952544462593165, -0.0646041047357281, -0.23055793564989693, 0.15748021990733863, -0.13359721831095936, -0.12289293898081705, 0.08429734540336273, 0.10301925306122343, 0.11561452095619865, -0.13803419380785287, 0.10030517534953502, -0.04397730278281667, 0.15118759186515787, 0.06543013060606327, 0.040541166586333305, 0.2182035910341294, 0.12162935961538754, 0.08993206852499176, 0.17437290227208913, -0.07730621563616999, -0.14080967365944086, -0.3885248443659614, -0.13956368642254707, -0.1669320155995577, 0.09081651675006171, -0.12516300941359138, -0.18443965353463002, 0.4061689817604898, 0.17786047630649873, 0.21036596987553002, 0.0733858139475244, 0.25132148175993385, 0.15675150037023136, 0.04461722935896226, 0.09109322893425446, 0.247390860574273, 0.14984386609749822, 0.0671420237069026, -0.25754687967592804, 0.01897029554815728, 0.10007639821744015] |
711.2456 | Cool X-ray emitting gas in the core of the Centaurus cluster of galaxies | We use a deep XMM-Newton Reflection Grating Spectrometer observation to
examine the X-ray emission from the core of the Centaurus cluster of galaxies.
We clearly detect Fe-XVII emission at four separate wavelengths, indicating the
presence of cool X-ray emitting gas in the core of the cluster. Fe ions from
Fe-XVII to XXIV are observed. The ratio of the Fe-XVII 17.1A lines to 15.0A
line and limits on O-VII emission indicate a lowest detected temperature in the
emitting region of 0.3 to 0.45 keV (3.5 to 5.2x10^6 K). The cluster also
exhibits strong N-VII emission, making it apparent that the N abundance is
supersolar in its very central regions. Comparison of the strength of the
Fe-XVII lines with a Solar metallicity cooling flow model in the inner 17 kpc
radius gives mass deposition rates in the absence of heating of 1.6-3 Msun/yr.
Spectral fitting implies an upper limit of 0.8 Msun/yr below 0.4 keV, 4 Msun/yr
below 0.8 keV and 8 Msun/yr below 1.6 keV. The cluster contains X-ray emitting
gas over at least the range of 0.35 to 3.7 keV, a factor of more than 10 in
temperature. We find that the best fitting metallicity of the cooler components
is smaller than the hotter ones, confirming that the apparent metallicity does
decline within the inner 1 arcmin radius.
| astro-ph | we use a deep xmmnewton reflection grating spectrometer observation to examine the xray emission from the core of the centaurus cluster of galaxies we clearly detect fexvii emission at four separate wavelengths indicating the presence of cool xray emitting gas in the core of the cluster fe ions from fexvii to xxiv are observed the ratio of the fexvii 171a lines to 150a line and limits on ovii emission indicate a lowest detected temperature in the emitting region of 03 to 045 kev 35 to 52x106 k the cluster also exhibits strong nvii emission making it apparent that the n abundance is supersolar in its very central regions comparison of the strength of the fexvii lines with a solar metallicity cooling flow model in the inner 17 kpc radius gives mass deposition rates in the absence of heating of 163 msunyr spectral fitting implies an upper limit of 08 msunyr below 04 kev 4 msunyr below 08 kev and 8 msunyr below 16 kev the cluster contains xray emitting gas over at least the range of 035 to 37 kev a factor of more than 10 in temperature we find that the best fitting metallicity of the cooler components is smaller than the hotter ones confirming that the apparent metallicity does decline within the inner 1 arcmin radius | [['we', 'use', 'a', 'deep', 'xmmnewton', 'reflection', 'grating', 'spectrometer', 'observation', 'to', 'examine', 'the', 'xray', 'emission', 'from', 'the', 'core', 'of', 'the', 'centaurus', 'cluster', 'of', 'galaxies', 'we', 'clearly', 'detect', 'fexvii', 'emission', 'at', 'four', 'separate', 'wavelengths', 'indicating', 'the', 'presence', 'of', 'cool', 'xray', 'emitting', 'gas', 'in', 'the', 'core', 'of', 'the', 'cluster', 'fe', 'ions', 'from', 'fexvii', 'to', 'xxiv', 'are', 'observed', 'the', 'ratio', 'of', 'the', 'fexvii', '171a', 'lines', 'to', '150a', 'line', 'and', 'limits', 'on', 'ovii', 'emission', 'indicate', 'a', 'lowest', 'detected', 'temperature', 'in', 'the', 'emitting', 'region', 'of', '03', 'to', '045', 'kev', '35', 'to', 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'hotter', 'ones', 'confirming', 'that', 'the', 'apparent', 'metallicity', 'does', 'decline', 'within', 'the', 'inner', '1', 'arcmin', 'radius']] | [-0.043900441529775416, 0.14024477039630395, 0.004656343354976603, 0.06270065190686848, -0.02787645890169309, -0.09815113126699414, 0.08941597915533502, 0.4602201103709192, -0.13249857791094324, -0.3827740662057416, 0.027213545064420402, -0.3517371324762221, 0.1066397281936563, 0.18957992315203573, -0.002077632658918547, -0.08670532617858538, -0.005957262749324471, -0.08135639448448466, -0.07773450951409538, -0.21034193670158252, 0.2283170122695091, 0.10313804095387266, 0.1733173225170231, 0.06841874413818877, 0.04285944878522839, -0.12109217135324722, -0.003114962559794226, -0.06396609506127747, -0.14244181219826227, 0.03137653734114382, 0.22155169248452178, 0.08477836890142917, 0.19532867265899542, -0.2774974459069802, -0.2051158396420949, 0.022864311137386868, 0.22539618335131015, -0.06695528100845555, 0.0003337897834435646, 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711.2457 | M-Dwarfs at Large Heliocentric Distances | We present an analysis of the faint M star population seen as foreground
contaminants in deep extragalactic surveys. We use space-based data to separate
such stars from high redshift galaxies in a publically-available dataset, and
consider the photometric properties of the resulting sample in the optical and
infrared. The inferred distances place these stars well beyond the scale height
of the thick disk. We find strong similarities between this faint sample
(reaching i'_{AB}=25) and the brighter disk M dwarf population studied by other
authors. The optical-infrared properties of the bulk of our sources spanning
6000A-4.5microns are consistent with those 5-10 magnitudes brighter. We also
present deep spectroscopy of faint M dwarf stars reaching continuum limits of
i'_{AB}~26, and measure absorption line strengths in the CaH2 and TiO5 bands.
Both photometrically and spectroscopically, our sources are consistent with
metallicities as low as a tenth solar: metal-rich compared with halo stars at
similar heliocentric distances. We comment on the possible MACHO identification
of M stars at faint magnitudes.
| astro-ph | we present an analysis of the faint m star population seen as foreground contaminants in deep extragalactic surveys we use spacebased data to separate such stars from high redshift galaxies in a publicallyavailable dataset and consider the photometric properties of the resulting sample in the optical and infrared the inferred distances place these stars well beyond the scale height of the thick disk we find strong similarities between this faint sample reaching i_ab25 and the brighter disk m dwarf population studied by other authors the opticalinfrared properties of the bulk of our sources spanning 6000a45microns are consistent with those 510 magnitudes brighter we also present deep spectroscopy of faint m dwarf stars reaching continuum limits of i_ab26 and measure absorption line strengths in the cah2 and tio5 bands both photometrically and spectroscopically our sources are consistent with metallicities as low as a tenth solar metalrich compared with halo stars at similar heliocentric distances we comment on the possible macho identification of m stars at faint magnitudes | [['we', 'present', 'an', 'analysis', 'of', 'the', 'faint', 'm', 'star', 'population', 'seen', 'as', 'foreground', 'contaminants', 'in', 'deep', 'extragalactic', 'surveys', 'we', 'use', 'spacebased', 'data', 'to', 'separate', 'such', 'stars', 'from', 'high', 'redshift', 'galaxies', 'in', 'a', 'publicallyavailable', 'dataset', 'and', 'consider', 'the', 'photometric', 'properties', 'of', 'the', 'resulting', 'sample', 'in', 'the', 'optical', 'and', 'infrared', 'the', 'inferred', 'distances', 'place', 'these', 'stars', 'well', 'beyond', 'the', 'scale', 'height', 'of', 'the', 'thick', 'disk', 'we', 'find', 'strong', 'similarities', 'between', 'this', 'faint', 'sample', 'reaching', 'i_ab25', 'and', 'the', 'brighter', 'disk', 'm', 'dwarf', 'population', 'studied', 'by', 'other', 'authors', 'the', 'opticalinfrared', 'properties', 'of', 'the', 'bulk', 'of', 'our', 'sources', 'spanning', '6000a45microns', 'are', 'consistent', 'with', 'those', '510', 'magnitudes', 'brighter', 'we', 'also', 'present', 'deep', 'spectroscopy', 'of', 'faint', 'm', 'dwarf', 'stars', 'reaching', 'continuum', 'limits', 'of', 'i_ab26', 'and', 'measure', 'absorption', 'line', 'strengths', 'in', 'the', 'cah2', 'and', 'tio5', 'bands', 'both', 'photometrically', 'and', 'spectroscopically', 'our', 'sources', 'are', 'consistent', 'with', 'metallicities', 'as', 'low', 'as', 'a', 'tenth', 'solar', 'metalrich', 'compared', 'with', 'halo', 'stars', 'at', 'similar', 'heliocentric', 'distances', 'we', 'comment', 'on', 'the', 'possible', 'macho', 'identification', 'of', 'm', 'stars', 'at', 'faint', 'magnitudes']] | [-0.02308328520575184, 0.09101757613602422, -0.04575336044311432, 0.10405704719257296, -0.11209644522215097, -0.029921164726152832, 0.09477758859255654, 0.4636370088516569, -0.1288694410064926, -0.393141173094831, 0.0238816482486329, -0.35816693729920984, 0.011235982515317804, 0.20988746763755528, -0.06468048966861119, -0.029141221856812668, 0.07581148782253631, -0.1064631762954355, -0.045086816249917366, -0.2878962304725946, 0.2842747869021459, 0.03308583247051089, 0.14091280661809025, -0.10208546156292221, 0.047530002649902064, -0.11055644670718469, -0.1233142635476507, -0.02864872763630437, -0.15986255877451297, 0.013301962376657896, 0.2705549952842615, 0.10381867454324398, 0.19944209703372826, -0.30501909118009646, -0.19342343833731726, 0.06002667959448467, 0.19348369650771283, 0.02551694214915388, -0.05200673419585097, -0.3167475528809373, 0.06952538294574828, -0.12298196660171896, -0.19437131802180063, 0.07261758456163771, 0.06367224519443841, 0.05586208779353397, -0.1607283249917366, 0.1259387970658839, 0.019402641212379137, 0.15434122089285152, -0.11942173516630634, -0.17544833298749718, -0.0825974776400996, 0.08701909623577322, 0.013547575877239482, 0.060902337583661814, 0.14187617973921582, -0.15068987182604343, 0.006460167890403168, 0.389627778948359, -0.14023979515282928, 0.07008440448885407, 0.25826639976449584, -0.20815510898000028, -0.1752157190363237, 0.10006338813302158, 0.17354377062614162, 0.17726654546232495, -0.1745236619015687, -0.005817515099031188, -0.009751769631209732, 0.17641599787730564, 0.05294365179867832, 0.13545883886881768, 0.3355141954919312, 0.13453423922761498, 0.048159500751130145, 0.07419537595777481, -0.3132351664226342, 0.03366761877090082, -0.22827449234551037, -0.05639453433979691, -0.13587045324880606, 0.10144445660132687, -0.16013875553342286, -0.130561959271982, 0.3211414462392521, 0.15830874251647412, 0.23656877596359815, 0.09459878324760992, 0.31445390972783044, 0.07041328085623567, 0.12790753673319277, 0.11110325492461401, 0.35422442739178067, 0.17358193384266338, 0.0674335478313633, -0.20245595021384763, 0.02756467059917428, -0.03515403482925855] |
711.2458 | The environs of the HII region Gum31 | We analyze the distribution of the interstellar matter in the environs of the
HII region Gum31, excited by the open cluster NGC3324, located in the complex
Carina region, with the aim of investigating the action of the massive stars on
the surrounding neutral material. We use neutral hydrogen 21-cm line data,
radio continuum images at 0.843, 2.4 and 4.9 GHz, 12CO(1-0) observations, and
IRAS and MSX infrared data. Adopting a distance of 3 kpc for the HII region and
the ionizing cluster, we derived an electron density of 33+/-3 cm^-3 and an
ionized mass of (3.3+/-1.1)x10^3 Mo based on the radio continuum data at 4.9
GHz. The HI 21-cm line images revealed an HI shell surrounding the HII region.
The HI structure is 10.0+/-1.7 pc in radius, has a neutral mass of 1500+/-500
Mo, and is expanding at 11 km/s. The associated molecular gas amounts to
1.1+/-0.5)x10^5 Mo, being its volume density of about 350 cm^3. This molecular
shell could represent the remains of the cloud where the young open cluster
NGC3324 was born or could have originated by the shock front associated with
the HII region. The difference between the ambient density and the electron
density of the HII region suggests that the HII region is expanding. The
distributions of the ionized and molecular material, along with that of the
emission in the MSX band A, suggest that a photodissociation region has
developed at the interface between the ionized and molecular gas. The
characteristics of a relatively large number of the IRAS, MSX, and 2MASS point
sources projected onto the molecular envelope are compatible with protostellar
candidates, showing the presence of active star forming regions. Very probably,
the expansion of the HII region has triggered stellar formation in the
molecular shell.
| astro-ph | we analyze the distribution of the interstellar matter in the environs of the hii region gum31 excited by the open cluster ngc3324 located in the complex carina region with the aim of investigating the action of the massive stars on the surrounding neutral material we use neutral hydrogen 21cm line data radio continuum images at 0843 24 and 49 ghz 12co10 observations and iras and msx infrared data adopting a distance of 3 kpc for the hii region and the ionizing cluster we derived an electron density of 333 cm3 and an ionized mass of 3311x103 mo based on the radio continuum data at 49 ghz the hi 21cm line images revealed an hi shell surrounding the hii region the hi structure is 10017 pc in radius has a neutral mass of 1500500 mo and is expanding at 11 kms the associated molecular gas amounts to 1105x105 mo being its volume density of about 350 cm3 this molecular shell could represent the remains of the cloud where the young open cluster ngc3324 was born or could have originated by the shock front associated with the hii region the difference between the ambient density and the electron density of the hii region suggests that the hii region is expanding the distributions of the ionized and molecular material along with that of the emission in the msx band a suggest that a photodissociation region has developed at the interface between the ionized and molecular gas the characteristics of a relatively large number of the iras msx and 2mass point sources projected onto the molecular envelope are compatible with protostellar candidates showing the presence of active star forming regions very probably the expansion of the hii region has triggered stellar formation in the molecular shell | [['we', 'analyze', 'the', 'distribution', 'of', 'the', 'interstellar', 'matter', 'in', 'the', 'environs', 'of', 'the', 'hii', 'region', 'gum31', 'excited', 'by', 'the', 'open', 'cluster', 'ngc3324', 'located', 'in', 'the', 'complex', 'carina', 'region', 'with', 'the', 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711.2459 | 17O NMR study of the intrinsic magnetic susceptibility and spin dynamics
of the quantum kagome antiferromagnet ZnCu3(OH)6Cl2 | We report through 17O NMR, an unambiguous local determination of the
intrinsic kagome lattice spin susceptibility as well as that created around
non-magnetic defects issued from natural Zn/ Cu exchange in the S=1/2 (Cu2+)
herbertsmithite ZnCu3(OH)6Cl2 compound. The issue of a singlet-triplet gap is
addressed. The magnetic response around a defect is found to markedly differ
from that observed in non-frustrated antiferromagnetic materials. Finally, we
discuss our relaxation measurements in the light of Cu and Cl NMR data
[cond-mat 070314] and suggest a flat q-dependence of the excitations.
| cond-mat.str-el | we report through 17o nmr an unambiguous local determination of the intrinsic kagome lattice spin susceptibility as well as that created around nonmagnetic defects issued from natural zn cu exchange in the s12 cu2 herbertsmithite zncu3oh6cl2 compound the issue of a singlettriplet gap is addressed the magnetic response around a defect is found to markedly differ from that observed in nonfrustrated antiferromagnetic materials finally we discuss our relaxation measurements in the light of cu and cl nmr data condmat 070314 and suggest a flat qdependence of the excitations | [['we', 'report', 'through', '17o', 'nmr', 'an', 'unambiguous', 'local', 'determination', 'of', 'the', 'intrinsic', 'kagome', 'lattice', 'spin', 'susceptibility', 'as', 'well', 'as', 'that', 'created', 'around', 'nonmagnetic', 'defects', 'issued', 'from', 'natural', 'zn', 'cu', 'exchange', 'in', 'the', 's12', 'cu2', 'herbertsmithite', 'zncu3oh6cl2', 'compound', 'the', 'issue', 'of', 'a', 'singlettriplet', 'gap', 'is', 'addressed', 'the', 'magnetic', 'response', 'around', 'a', 'defect', 'is', 'found', 'to', 'markedly', 'differ', 'from', 'that', 'observed', 'in', 'nonfrustrated', 'antiferromagnetic', 'materials', 'finally', 'we', 'discuss', 'our', 'relaxation', 'measurements', 'in', 'the', 'light', 'of', 'cu', 'and', 'cl', 'nmr', 'data', 'condmat', '070314', 'and', 'suggest', 'a', 'flat', 'qdependence', 'of', 'the', 'excitations']] | [-0.1389328724619044, 0.19556130352982015, 0.00885167716863169, 0.039456315795240664, -0.02601058166688201, -0.1475110456144073, 0.12222314624907984, 0.39377439623677185, -0.25435053776607086, -0.2748654487358149, 0.004643923839843222, -0.39668260905998703, -0.09980180517010305, 0.1527880980203667, 0.09148171528820591, -0.018569268045368893, -0.020953219721158003, 0.007877382696017452, -0.1431341034898149, -0.1942451417274859, 0.23894258588552475, 0.04557042944127287, 0.3040672165566477, 0.09557343376051078, 0.005952840388602652, 0.028071660027924883, 0.11944303702263312, 0.0007358392079671224, -0.15407876402287524, 0.08087421357417586, 0.27708091018400316, -0.0799620810617832, 0.1048144933221669, -0.44701013666973716, -0.17453003207478543, -0.01119122146254127, 0.16758084660074835, 0.1907427871771071, -0.11060153809911304, -0.29992307692059667, 0.016090909861451036, -0.13175211732821732, -0.10676231546843981, -0.10186648106566448, -0.05202866371335654, -0.02127920505965407, -0.2242940436117351, 0.15092955852976475, 0.11046605282222274, 0.17081317122511822, -0.1741501342548036, -0.181274805076142, -0.09530318321810029, 0.02555644205214734, 0.06397639719726539, 0.07343245225144956, 0.1806062195696279, -0.04992410007478862, -0.18148681106334874, 0.36134605633159134, -0.05788039568418252, -0.05552022207539058, 0.12155279318598666, -0.2149721077782498, -0.15226220107776509, 0.1230438027273992, 0.07691148319883787, 0.08060934362884868, -0.14863021776679602, 0.06299605171180106, -0.05490563692921109, 0.2320919878507868, -0.011327318697311413, 0.07826250204923509, 0.25527599702278775, 0.20177376007757566, -0.002545067879917293, 0.17193927500268508, -0.16320898828981345, -0.0437003325526442, -0.1767083786256697, -0.16283085779554543, -0.26577041526164474, 0.09988638229036553, -0.050805153806584125, -0.17210730551688494, 0.3531234214489145, 0.14328771566800858, 0.1965733110883284, -0.12246159628172801, 0.16077394115246146, 0.014511240247487166, 0.05646614818137952, 0.026160755837015038, 0.24930854060355273, 0.18159905876750235, 0.14065798727832948, -0.3379415840756191, 0.07447988952071159, -0.03593797595828943] |
711.246 | Linear dimension-free estimates for the Hermite-Riesz transforms | We utilize the Bellman function technique to prove a bilinear dimension-free
inequality for the Hermite operator. The Bellman technique is applied here to a
non-local operator, which at first did not seem to be feasible. As a
consequence of our bilinear inequality one proves dimension-free boundedness
for the Riesz-Hermite transforms on L^p with linear growth in terms of p. A
feature of the proof is a theorem establishing L^p(R^n) estimates for a class
of spectral multipliers with bounds independent of n and p. Connections with
known results on the Heisenberg group as well as with results for the Hilbert
transform along the parabola are also explored. We believe our approach is
quite universal in the sense that one could apply it to a whole range of Riesz
transforms arising from various differential operators. As a first step towards
this goal we prove our dimension-free bilinear embedding theorem for quite a
general family of Schroedinger semigroups.
| math.CA | we utilize the bellman function technique to prove a bilinear dimensionfree inequality for the hermite operator the bellman technique is applied here to a nonlocal operator which at first did not seem to be feasible as a consequence of our bilinear inequality one proves dimensionfree boundedness for the rieszhermite transforms on lp with linear growth in terms of p a feature of the proof is a theorem establishing lprn estimates for a class of spectral multipliers with bounds independent of n and p connections with known results on the heisenberg group as well as with results for the hilbert transform along the parabola are also explored we believe our approach is quite universal in the sense that one could apply it to a whole range of riesz transforms arising from various differential operators as a first step towards this goal we prove our dimensionfree bilinear embedding theorem for quite a general family of schroedinger semigroups | [['we', 'utilize', 'the', 'bellman', 'function', 'technique', 'to', 'prove', 'a', 'bilinear', 'dimensionfree', 'inequality', 'for', 'the', 'hermite', 'operator', 'the', 'bellman', 'technique', 'is', 'applied', 'here', 'to', 'a', 'nonlocal', 'operator', 'which', 'at', 'first', 'did', 'not', 'seem', 'to', 'be', 'feasible', 'as', 'a', 'consequence', 'of', 'our', 'bilinear', 'inequality', 'one', 'proves', 'dimensionfree', 'boundedness', 'for', 'the', 'rieszhermite', 'transforms', 'on', 'lp', 'with', 'linear', 'growth', 'in', 'terms', 'of', 'p', 'a', 'feature', 'of', 'the', 'proof', 'is', 'a', 'theorem', 'establishing', 'lprn', 'estimates', 'for', 'a', 'class', 'of', 'spectral', 'multipliers', 'with', 'bounds', 'independent', 'of', 'n', 'and', 'p', 'connections', 'with', 'known', 'results', 'on', 'the', 'heisenberg', 'group', 'as', 'well', 'as', 'with', 'results', 'for', 'the', 'hilbert', 'transform', 'along', 'the', 'parabola', 'are', 'also', 'explored', 'we', 'believe', 'our', 'approach', 'is', 'quite', 'universal', 'in', 'the', 'sense', 'that', 'one', 'could', 'apply', 'it', 'to', 'a', 'whole', 'range', 'of', 'riesz', 'transforms', 'arising', 'from', 'various', 'differential', 'operators', 'as', 'a', 'first', 'step', 'towards', 'this', 'goal', 'we', 'prove', 'our', 'dimensionfree', 'bilinear', 'embedding', 'theorem', 'for', 'quite', 'a', 'general', 'family', 'of', 'schroedinger', 'semigroups']] | [-0.0640245118396139, 0.04552650556282757, -0.12329419974582391, 0.10177863642494739, -0.10928772852677465, -0.13792301952391378, 0.03468201550134978, 0.3412238575681415, -0.33723392414969283, -0.21799161007277087, 0.14707811464640227, -0.2718479921799395, -0.1555525267363659, 0.2711875815906066, -0.08370058532073489, 0.07989892349034161, 0.04341174326700993, 0.051246874487970946, -0.12680883159371117, -0.23822347385969087, 0.35182087140931906, -0.03829791223291646, 0.2188086633346733, 0.06574580197326663, 0.09067621843529526, 0.013422055236463035, -0.002870845998480142, -0.04957662140814491, -0.12120965979684352, 0.14840385006353646, 0.2797714082838653, 0.08780630565033552, 0.3082593917507355, -0.3646182695996355, -0.17011092040179807, 0.1366365048044071, 0.1486676368210767, 0.054826532027158016, -0.06833982870871709, -0.28066191314901046, 0.08014667333502855, -0.11109730308306973, -0.18518876772360307, -0.12057197640662069, 0.006616946379351732, 0.02912493005913513, -0.35475335909089967, 0.07908080214791018, 0.16612928818575676, 0.0048265513879331675, -0.0829671488246312, -0.11991765725278211, 0.033959202257179855, 0.0478262267129907, 0.013078305660142236, 0.05086233329017308, 0.06485323171893304, -0.033772329350800386, -0.10969097831954744, 0.33703531815433063, -0.09316191638407129, -0.24898246894046278, 0.12877413150914885, -0.1446387866911079, -0.17653411852842946, 0.03770031089676762, 0.13417119925460694, 0.15372182495359862, -0.12510585199509347, 0.11538391071031559, -0.10385841647671028, 0.1206393715465901, 0.05820036528015195, 0.06655368554691615, 0.06259449539545851, 0.10742336963061486, 0.18896182945191667, 0.1548746119016349, -0.005353041437708519, -0.09017328613183716, -0.3580319262442312, -0.1904062800194052, -0.2205047044153144, 0.08011489711233563, -0.11344395232431866, -0.17397401634189483, 0.3655718723372496, 0.09458083030011795, 0.19008413918751788, 0.13638867792301484, 0.21194658132100647, 0.16818092769093498, 0.08738540498805898, 0.04064619445314558, 0.20147717305664697, 0.18694181791234568, 0.11378605187834277, -0.1381762438172523, 0.035550869058654344, 0.20196933501895953] |
711.2461 | [WC] and PG1159 Central Stars of Planetary Nebula: the Need for an
Alternative to the Born-Again Scenario | Hydrogen-deficient central stars of planetary nebula such as Wolf-Rayet and
PG1159 central stars and some weak emission line stars are primarily composed
of helium and carbon. This abundance is well explained by a scenario where a
single post-AGB star experiences a last helium shell flash which ingests and
burns, or simply dilutes, the remaining hydrogen atmosphere. But despite its
success in matching the photospheric abundances of these stars, this scenario
is faced with several observational challenges. A binary scenario is proposed
here as a more natural way to face some of the most stringent observational
constraints. In this scenario the H-rich primary in a close binary formed
during a common envelope on the AGB, suffers a last helium shell flash, which
results in a H-deficient primary with some of the characteristics needed to
match the observations.
| astro-ph | hydrogendeficient central stars of planetary nebula such as wolfrayet and pg1159 central stars and some weak emission line stars are primarily composed of helium and carbon this abundance is well explained by a scenario where a single postagb star experiences a last helium shell flash which ingests and burns or simply dilutes the remaining hydrogen atmosphere but despite its success in matching the photospheric abundances of these stars this scenario is faced with several observational challenges a binary scenario is proposed here as a more natural way to face some of the most stringent observational constraints in this scenario the hrich primary in a close binary formed during a common envelope on the agb suffers a last helium shell flash which results in a hdeficient primary with some of the characteristics needed to match the observations | [['hydrogendeficient', 'central', 'stars', 'of', 'planetary', 'nebula', 'such', 'as', 'wolfrayet', 'and', 'pg1159', 'central', 'stars', 'and', 'some', 'weak', 'emission', 'line', 'stars', 'are', 'primarily', 'composed', 'of', 'helium', 'and', 'carbon', 'this', 'abundance', 'is', 'well', 'explained', 'by', 'a', 'scenario', 'where', 'a', 'single', 'postagb', 'star', 'experiences', 'a', 'last', 'helium', 'shell', 'flash', 'which', 'ingests', 'and', 'burns', 'or', 'simply', 'dilutes', 'the', 'remaining', 'hydrogen', 'atmosphere', 'but', 'despite', 'its', 'success', 'in', 'matching', 'the', 'photospheric', 'abundances', 'of', 'these', 'stars', 'this', 'scenario', 'is', 'faced', 'with', 'several', 'observational', 'challenges', 'a', 'binary', 'scenario', 'is', 'proposed', 'here', 'as', 'a', 'more', 'natural', 'way', 'to', 'face', 'some', 'of', 'the', 'most', 'stringent', 'observational', 'constraints', 'in', 'this', 'scenario', 'the', 'hrich', 'primary', 'in', 'a', 'close', 'binary', 'formed', 'during', 'a', 'common', 'envelope', 'on', 'the', 'agb', 'suffers', 'a', 'last', 'helium', 'shell', 'flash', 'which', 'results', 'in', 'a', 'hdeficient', 'primary', 'with', 'some', 'of', 'the', 'characteristics', 'needed', 'to', 'match', 'the', 'observations']] | [-0.06945874987200916, 0.13378943149205846, -0.024806506568839884, 0.07317636296091437, -0.10878349450392895, -0.10685731280725175, 0.09916508900085533, 0.37592422597877245, -0.17827514350595747, -0.3251970818553887, 0.0873897960923119, -0.2747298545368454, -0.03548469583620317, 0.16395823106765472, -0.13700830079409676, -0.03829873804138247, 0.16641885633854306, -0.0005517384287325994, -0.0369742927244207, -0.26848823786370785, 0.32654183301800754, 0.07243688178577405, 0.11116806547044475, -0.023635987558758214, -0.005505121491082451, -0.1635249488197801, -0.013230750552953823, -0.06832295183694977, -0.08455737745423582, 0.0720452387296759, 0.2436672475134187, 0.18530032839215196, 0.22337977586807134, -0.4275065135238144, -0.2794889264246997, 0.05555336983353995, 0.18303496693603366, 0.06599736096412766, -0.13700091432720535, -0.21944330483572283, 0.06839321936593692, -0.24213014226338334, -0.15398840887321377, 0.10778538688250325, 0.03225683245331953, 0.02880146585897926, -0.2356631740442347, 0.034827420285985095, 0.0887279410226791, 0.060352510909604674, -0.07647046598568148, -0.1208817332296937, -0.05995028954417007, 0.05991924214450752, 0.05086361093836946, 0.025375727083027252, 0.13408789391328088, -0.15425597820157075, 0.019533672233057374, 0.46051974424763636, -0.08730777794056956, 0.007622042660574045, 0.24808073130449937, -0.14978667134282125, -0.20927619733094402, 0.13005240171504043, 0.0907884359921274, 0.17122039162581237, -0.17090867923466516, -0.02815057525945389, -0.018853244080673903, 0.17448029694958891, 0.08091435126056347, 0.04205809100120164, 0.3746896088260281, 0.1974117008366567, -0.05092533530670848, 0.09023082193230306, -0.19019338775165928, -0.08567526298301185, -0.24743330797783153, -0.11121900437651408, -0.1115406904136762, 0.05462798996064949, -0.0964324971098583, -0.18750207810936606, 0.3193190570557764, 0.06455197483249803, 0.21893638318151182, -0.05907814923557453, 0.3557925498496522, 0.06386117550701943, 0.07461107876973555, 0.10025730235707563, 0.29000498642712685, 0.21540901048608838, 0.11799811860135592, -0.2124293467392871, 0.1462616730337579, -0.0035693791030687004] |
711.2462 | Groupo\"ides de Lie et Feuilletages | This is a survey concerning the relationship between Lie Groupoids (and their
morphisms) and singular foliations in the sense of Sussmann-Stefan (considered
from a purely geometrical point of view). We focus on the interaction between
the algebraic and differentiable structures underlying Lie groupoids, and
between groups and graphs of equivalence relations, regarded as two basic
degeneracies for groupoids. Historical remarks, motivations and examples are
developed in five appendices.
| math.GT math.CT | this is a survey concerning the relationship between lie groupoids and their morphisms and singular foliations in the sense of sussmannstefan considered from a purely geometrical point of view we focus on the interaction between the algebraic and differentiable structures underlying lie groupoids and between groups and graphs of equivalence relations regarded as two basic degeneracies for groupoids historical remarks motivations and examples are developed in five appendices | [['this', 'is', 'a', 'survey', 'concerning', 'the', 'relationship', 'between', 'lie', 'groupoids', 'and', 'their', 'morphisms', 'and', 'singular', 'foliations', 'in', 'the', 'sense', 'of', 'sussmannstefan', 'considered', 'from', 'a', 'purely', 'geometrical', 'point', 'of', 'view', 'we', 'focus', 'on', 'the', 'interaction', 'between', 'the', 'algebraic', 'and', 'differentiable', 'structures', 'underlying', 'lie', 'groupoids', 'and', 'between', 'groups', 'and', 'graphs', 'of', 'equivalence', 'relations', 'regarded', 'as', 'two', 'basic', 'degeneracies', 'for', 'groupoids', 'historical', 'remarks', 'motivations', 'and', 'examples', 'are', 'developed', 'in', 'five', 'appendices']] | [-0.18464408347855754, 0.05576081164945751, -0.0794492010305177, 0.18211472477875093, -0.15366189682216785, -0.11796921823840978, 0.03194340271180245, 0.39485702191048594, -0.3245837613940239, -0.2887541094739268, 0.12241411495105878, -0.2888822288116885, -0.19342663001491509, 0.20815514881553046, -0.12591337345179116, -0.05126367393992285, 0.043253020967231756, 0.045005077468370326, -0.1400885403211882, -0.1941040658510165, 0.4803818299699186, 0.00013141830298882813, 0.22545418126591996, 0.026662677436121808, 0.1312599821127395, -0.0157265290131431, -0.09828822772060312, 0.01860302674180981, -0.15103686261755317, 0.16282794357680563, 0.33041502417277185, 0.06827352472942379, 0.21704333766933476, -0.398585679801876, -0.10054067219260024, 0.1045105085749902, 0.08164578213342535, 0.004544889124774082, -0.008915913824700932, -0.34899762295075315, 0.008280111567131173, -0.11862637847661972, -0.09631122950353284, -0.05932448974657637, 0.06918761443430141, 0.06286386812606187, -0.09348754305392504, -0.0014247932513035944, 0.12501768223983026, 0.18807558602750746, -0.06655913644901185, -0.09402070195699083, -0.06537368580865771, 0.1560052362923969, 0.022717528535164337, -0.04904403553497213, 0.1143607843681169, -0.09092787740432393, -0.17672515154725857, 0.39528020901202376, 0.03763391197061361, -0.21983159350147888, 0.21270637336506773, -0.10891141414419929, -0.20243597323936757, 0.03738982102715535, 0.10202380599551347, 0.09383574324145691, -0.12043109349906445, 0.145134609799012, -0.0286625172289561, 0.029437976349371054, 0.08843467078074368, 0.02957377076816203, 0.19910908085224566, 0.12240149900873205, 0.03426245242746463, 0.10168972293109592, 0.03729377797832573, -0.1057953682742012, -0.4031863501156444, -0.1396581939171388, -0.0560736092113292, 0.10045209509640265, -0.09655789051677531, -0.16292505782556288, 0.40048186614442227, 0.13802518445386816, 0.21999173447726045, 0.09498095496404749, 0.2137216710443817, 0.004166764201971688, 0.013978464608845203, 0.014975604274546478, 0.2097649762768354, 0.29752845424157914, 0.01979570447314364, -0.043962753461256845, -0.036881170256424754, 0.17138495350451166] |
711.2463 | The Distance of 4 kpc to the SNR CTB 109/AXP 1E 2259+586 system | We suggest a revised distance to the supernova remnant (SNR) G109.1-1.0 (CTB
109) and its associated anomalous X-ray pulsar (AXP) 1E 2259+586 by analyzing
21cm HI-line and 12CO-line spectra of CTB 109, HII region Sh 152, and the
adjacent molecular cloud complex. CTB 109 has been established to be
interacting with a large molecular cloud (recession velocity at v=-55 km s^-1).
The highest radial velocities of absorption features towards CTB 109 (-56 km
s^-1) and Sh 152 (-65 km s^-1) are larger than the recombination line velocity
(-50 km s^-1) of Sh 152 demonstrating the velocity reversal within the Perseus
arm. The molecular cloud has cold HI column density large enough to produce HI
self-absorption (HISA) and HI narrow self-absorption (HINSA) if it was at the
near side of the velocity reversal. Absence of both HISA and HINSA indicates
that the cloud is at the far side of the velocity reversal within the Perseus
Arm, so we obtain a distance for CTB 109 of 4+/-0.8 kpc. The new distance still
leads to a normal explosion energy for CTB 109/AXP 1E 2259+586.
| astro-ph | we suggest a revised distance to the supernova remnant snr g109110 ctb 109 and its associated anomalous xray pulsar axp 1e 2259586 by analyzing 21cm hiline and 12coline spectra of ctb 109 hii region sh 152 and the adjacent molecular cloud complex ctb 109 has been established to be interacting with a large molecular cloud recession velocity at v55 km s1 the highest radial velocities of absorption features towards ctb 109 56 km s1 and sh 152 65 km s1 are larger than the recombination line velocity 50 km s1 of sh 152 demonstrating the velocity reversal within the perseus arm the molecular cloud has cold hi column density large enough to produce hi selfabsorption hisa and hi narrow selfabsorption hinsa if it was at the near side of the velocity reversal absence of both hisa and hinsa indicates that the cloud is at the far side of the velocity reversal within the perseus arm so we obtain a distance for ctb 109 of 408 kpc the new distance still leads to a normal explosion energy for ctb 109axp 1e 2259586 | [['we', 'suggest', 'a', 'revised', 'distance', 'to', 'the', 'supernova', 'remnant', 'snr', 'g109110', 'ctb', '109', 'and', 'its', 'associated', 'anomalous', 'xray', 'pulsar', 'axp', '1e', '2259586', 'by', 'analyzing', '21cm', 'hiline', 'and', '12coline', 'spectra', 'of', 'ctb', '109', 'hii', 'region', 'sh', '152', 'and', 'the', 'adjacent', 'molecular', 'cloud', 'complex', 'ctb', '109', 'has', 'been', 'established', 'to', 'be', 'interacting', 'with', 'a', 'large', 'molecular', 'cloud', 'recession', 'velocity', 'at', 'v55', 'km', 's1', 'the', 'highest', 'radial', 'velocities', 'of', 'absorption', 'features', 'towards', 'ctb', '109', '56', 'km', 's1', 'and', 'sh', '152', '65', 'km', 's1', 'are', 'larger', 'than', 'the', 'recombination', 'line', 'velocity', '50', 'km', 's1', 'of', 'sh', '152', 'demonstrating', 'the', 'velocity', 'reversal', 'within', 'the', 'perseus', 'arm', 'the', 'molecular', 'cloud', 'has', 'cold', 'hi', 'column', 'density', 'large', 'enough', 'to', 'produce', 'hi', 'selfabsorption', 'hisa', 'and', 'hi', 'narrow', 'selfabsorption', 'hinsa', 'if', 'it', 'was', 'at', 'the', 'near', 'side', 'of', 'the', 'velocity', 'reversal', 'absence', 'of', 'both', 'hisa', 'and', 'hinsa', 'indicates', 'that', 'the', 'cloud', 'is', 'at', 'the', 'far', 'side', 'of', 'the', 'velocity', 'reversal', 'within', 'the', 'perseus', 'arm', 'so', 'we', 'obtain', 'a', 'distance', 'for', 'ctb', '109', 'of', '408', 'kpc', 'the', 'new', 'distance', 'still', 'leads', 'to', 'a', 'normal', 'explosion', 'energy', 'for', 'ctb', '109axp', '1e', '2259586']] | [-0.11740690007184942, 0.06155848600125561, 0.010404105515529711, 0.05377629752232072, -0.08751745135005977, -0.09076356217006429, 0.05005396142951213, 0.4410503358890613, -0.16634570916390254, -0.3101551102060411, 0.05650497826023234, -0.29170084800571205, 0.058926251033941904, 0.19486967044520295, 0.046245360463894436, -0.07265187830230893, 0.015707835865517456, -0.07496613450348377, -0.041532181675494134, -0.15475584941119047, 0.1683781001141243, 0.09845387773950481, 0.1861823074118648, 0.04913153003241556, 0.1358214010587997, -0.22029138862077768, -0.003619398672081944, -0.06462090669406785, -0.13387734822483455, 0.06956346348969318, 0.1862110299262794, 0.10945322102892938, 0.17329784742711732, -0.3208548126742244, -0.2064062162173084, 0.023113481242520113, 0.22588364655772844, 0.0027809919892913767, 0.042000094110456604, -0.3847046061470691, 0.07331774231505632, -0.24026719470404917, -0.2584471116722044, 0.13736622668155987, 0.12147430568519565, 0.026020306162536144, -0.15663757835411363, 0.22469770445798834, -0.05536042807313303, 0.13064783558947965, -0.08146420965527391, -0.15180505514662299, -0.022374327247962355, -0.023313673606349363, -0.006396077000277324, 0.1396929950505081, 0.23776073428048727, -0.1156868432418782, 0.027319124015048147, 0.4193313578298936, -0.09916748241044439, 0.08892609912695157, 0.21851279592891742, -0.23768377099832932, -0.16609804366792863, 0.27969853239935927, 0.07046379569607476, 0.017046920179078977, -0.11422619787562224, -0.013388210517587141, -0.11846613287861045, 0.21489902233911884, 0.10428681496737732, 0.0581915758206176, 0.2722376833792724, 0.03411287583585363, 0.08020559236821201, 0.08516151560147087, -0.392876045734738, -0.016165307853629605, -0.19827763287919678, -0.1054986287956126, -0.13050253757844782, 0.12510041000399116, -0.17809253598307906, -0.03663045020980967, 0.27598696663561795, 0.10737059035648902, 0.2657800119615988, 0.010870829381100419, 0.31668523250975544, 0.0870294665665521, 0.08356292410236266, 0.23113215325865893, 0.29870835933834317, 0.20489765532030207, 0.1118947125867837, -0.2545841344593403, 0.08938134943342044, -0.010358167650540255] |
711.2464 | Prompt photon production in photoproduction, DIS and hadronic collisions | Recent results on prompt photon production in photoproduction, deeply
inelastic scattering and hadronic collisions are reviewed and the importance of
photons for LHC experiments is briefly discussed.
| hep-ph | recent results on prompt photon production in photoproduction deeply inelastic scattering and hadronic collisions are reviewed and the importance of photons for lhc experiments is briefly discussed | [['recent', 'results', 'on', 'prompt', 'photon', 'production', 'in', 'photoproduction', 'deeply', 'inelastic', 'scattering', 'and', 'hadronic', 'collisions', 'are', 'reviewed', 'and', 'the', 'importance', 'of', 'photons', 'for', 'lhc', 'experiments', 'is', 'briefly', 'discussed']] | [-0.017265597246242343, 0.3536901091984301, -0.07395811782528956, 0.20505616926432899, -0.02645394095668086, -0.057188190450822865, -0.05109349507148619, 0.41758966942628223, -0.14612980083458954, -0.14422496277149077, -0.05014260053306956, -0.4803002445993048, 0.03772345792364191, 0.22966486927880733, 0.12906200776773472, 0.15191132889163714, 0.1956293999251944, -0.0379949714816003, 0.07634840202000406, -0.2635569139901135, 0.3830391165834886, 0.14753579895046573, 0.24840323144087084, 0.33978590548590376, 0.03403835226264265, 0.1627766498433495, -0.13527208824288445, -0.1090658676845056, -0.10625510500674998, 0.08261679312218567, 0.3483332512141378, 0.09600611513101116, 0.008619396912830847, -0.44280303331712884, -0.13673234879280682, 0.06974538522600024, 0.15853192876265557, 0.051406786432144816, -0.165796620447913, -0.31874812401279257, 0.012239935359469167, -0.2065139409430601, -0.07682465927468406, -0.07742044269279749, 0.04763110100153695, 0.00781467381036944, -0.2130740108313384, 0.03766818022941826, -0.10030511706308634, -0.006075418787077069, -0.02665916784166324, -0.20854546681598382, 0.024884433796008427, -0.11655661118803201, 0.12531185794311264, 0.04693839266137392, 0.21204247077306113, -0.23419988212710316, -0.28640257139448766, 0.3760643896681291, 0.04614053394093558, -0.07484268997278479, 0.20842720171505655, -0.21765020596622317, -0.19361848144412594, 0.16753253175152671, 0.27468240061015997, 0.07690698653459549, -0.2155531078439068, 0.039144473732449114, 0.037607928531037435, 0.09991915536940926, 0.07454689534346538, 0.1511614905471948, 0.14990995389719805, 0.34165529437639097, -0.22318741047961843, 0.0735222478310957, -0.15262556209711842, -0.1020455157591237, -0.47707579340095874, -0.07758006432818042, -0.09481778175190643, 0.039291602490400826, 0.020451685845964, 0.05774623883405217, 0.26031557301542274, 0.08710002688760007, 0.28439512931638294, -0.07189058774599323, 0.39388083832131493, 0.11683392431586981, -0.06663621120430806, 0.040967309192098955, 0.4340489026572969, 0.22315052744966965, 0.20103169648252703, -0.2441383269270537, 0.05262487946095428, -0.015839571383333317] |
711.2465 | A two-dimensional ruin problem on the positive quadrant | In this paper we study the joint ruin problem for two insurance companies
that divide between them both claims and premia in some specified proportions
(modeling two branches of the same insurance company or an insurance and
re-insurance company). Modeling the risk processes of the insurance companies
by Cram\'{e}r-Lundberg processes we obtain the Laplace transform in space of
the probability that either of the insurance companies is ruined in finite
time. Subsequently, for exponentially distributed claims, we derive an explicit
analytical expression for this joint ruin probability by explicitly inverting
this Laplace transform. We also provide a characterization of the Laplace
transform of the joint ruin time.
| math.PR | in this paper we study the joint ruin problem for two insurance companies that divide between them both claims and premia in some specified proportions modeling two branches of the same insurance company or an insurance and reinsurance company modeling the risk processes of the insurance companies by cramerlundberg processes we obtain the laplace transform in space of the probability that either of the insurance companies is ruined in finite time subsequently for exponentially distributed claims we derive an explicit analytical expression for this joint ruin probability by explicitly inverting this laplace transform we also provide a characterization of the laplace transform of the joint ruin time | [['in', 'this', 'paper', 'we', 'study', 'the', 'joint', 'ruin', 'problem', 'for', 'two', 'insurance', 'companies', 'that', 'divide', 'between', 'them', 'both', 'claims', 'and', 'premia', 'in', 'some', 'specified', 'proportions', 'modeling', 'two', 'branches', 'of', 'the', 'same', 'insurance', 'company', 'or', 'an', 'insurance', 'and', 'reinsurance', 'company', 'modeling', 'the', 'risk', 'processes', 'of', 'the', 'insurance', 'companies', 'by', 'cramerlundberg', 'processes', 'we', 'obtain', 'the', 'laplace', 'transform', 'in', 'space', 'of', 'the', 'probability', 'that', 'either', 'of', 'the', 'insurance', 'companies', 'is', 'ruined', 'in', 'finite', 'time', 'subsequently', 'for', 'exponentially', 'distributed', 'claims', 'we', 'derive', 'an', 'explicit', 'analytical', 'expression', 'for', 'this', 'joint', 'ruin', 'probability', 'by', 'explicitly', 'inverting', 'this', 'laplace', 'transform', 'we', 'also', 'provide', 'a', 'characterization', 'of', 'the', 'laplace', 'transform', 'of', 'the', 'joint', 'ruin', 'time']] | [-0.04400057240310952, 0.04641743047216202, -0.11285708941819547, 0.13891308038129915, -0.08417021357846037, -0.07737628258677705, 0.15464776460294585, 0.39827605472686134, -0.26590592911789, -0.206694354503372, 0.16866754576407164, -0.2990425122318633, -0.13110044416884464, 0.14972101408709712, -0.16611002419561705, 0.07827652815868642, 0.0062481570645087515, 0.004886064084658017, 0.04598456612901292, -0.2699353917127597, 0.3081962578705834, 0.036073084328776206, 0.31851048751029176, 0.016958913522137103, 0.10045694219488129, 0.04009216777636521, -0.07399792150185208, -0.09941237915927983, -0.16590594044501925, 0.1338912450173156, 0.3312397365954435, 0.195741406389486, 0.3962425397552341, -0.45610838757706024, -0.14788715596197644, 0.19039167755361752, 0.09088194705371823, 0.010828125647434565, -0.036004580239652195, -0.3060639746591588, -0.027241462985245147, -0.2744027004690371, -0.12140100379692059, -0.027842055092278484, 0.05221049021059108, 0.04042542916200359, -0.3229058099753946, 0.05688329354101557, 0.053628393936310415, 0.0018191645835813517, -0.10472042559619958, -0.1289458985605808, 0.02867333238474398, 0.17538193468152433, 0.18151607830730207, -0.13725307017834595, 0.11090961623519102, -0.09293259153899815, -0.16947055450547052, 0.29602171642331526, -0.05826776102185249, -0.21178133168614635, 0.05712534332752367, -0.14407089052321476, -0.15324507365612505, 0.0967351788563532, 0.21673194282235594, 0.07106976634953345, -0.23282994298595133, 0.10788084136509275, -0.027890875688035947, 0.08897665823661835, 0.14050130983031242, -0.07726495289113199, 0.132282393914865, 0.13219007105505634, 0.11326944481616265, 0.1476534436648346, -0.03244212528535113, -0.14463202255804128, -0.3304868066056727, -0.23549138078744583, -0.19925165568939715, 0.05514461024899349, -0.12340887115858104, -0.20074810555953287, 0.35528216272958113, 0.15213220625480411, 0.13498563862135896, 0.1772151214819158, 0.2964582333915702, 0.22886672155348428, -0.07543789211956557, 0.08183708182475138, 0.08562519423642945, 0.004420322196331815, 0.09971539758006547, -0.18049511470979898, 0.1429991931132276, 0.010830581209961778] |
711.2466 | Representations of the quantum torus and applications to finitely
presented groups | A structure theorem is proved for strongly holonomic modules over a quantum
torus (a crossed product of a field with a free abelian group in which the
field is central). This can be applied to give a structure theorem for finitely
presented abelian-by-nilpotent groups.
| math.RT math.GR | a structure theorem is proved for strongly holonomic modules over a quantum torus a crossed product of a field with a free abelian group in which the field is central this can be applied to give a structure theorem for finitely presented abelianbynilpotent groups | [['a', 'structure', 'theorem', 'is', 'proved', 'for', 'strongly', 'holonomic', 'modules', 'over', 'a', 'quantum', 'torus', 'a', 'crossed', 'product', 'of', 'a', 'field', 'with', 'a', 'free', 'abelian', 'group', 'in', 'which', 'the', 'field', 'is', 'central', 'this', 'can', 'be', 'applied', 'to', 'give', 'a', 'structure', 'theorem', 'for', 'finitely', 'presented', 'abelianbynilpotent', 'groups']] | [-0.2146352680442347, 0.13593117710710925, -0.1727450187423859, 0.047369356026386165, -0.06903895138847557, -0.13635920146903532, -0.03044644407187165, 0.3601447298953479, -0.321814434518191, -0.1894867961845276, 0.12457578438492915, -0.12170410510787572, -0.09157564924945208, 0.28699556907469576, -0.11906182346865535, -0.08760117269544439, 0.07191942445933819, 0.1492141328159381, -0.03548742921239781, -0.26324680929114536, 0.3470983045514334, -0.028817149336894297, 0.24103108222003689, 0.07046120757745071, 0.11099466264501891, 0.06593250440941616, 0.014592198813757435, 0.06200183276087046, -0.10133815757845613, 0.13860517376187173, 0.33776880047199404, 0.005157821600071408, 0.23742862241554327, -0.334070427978242, -0.18571862393185834, 0.12701261344111778, 0.08590196215928617, 0.04856252508100376, -0.09883584412322803, -0.2895098709585992, 0.12309165167706934, -0.25739605542780325, -0.15220697804100133, -0.046823531770232046, 0.06396909204671498, -0.011764626759527759, -0.275018595532112, 0.002344884295863184, 0.08349999290129001, 0.09074798941781576, -0.03130780331875113, 0.005151261152191596, -0.011265833375298163, 0.07524162041954696, -0.057801632581024685, 0.06020778240847655, 0.16199407185724174, -0.10289961285359989, -0.16088178485039284, 0.38082604736767034, -0.045246770944107666, -0.23923852290450173, 0.1397229498463937, -0.14476025667549533, -0.14616199252618986, 0.14881673582236876, 0.06868387809531255, 0.15177178581837902, -0.06680248601796021, 0.21617814337051558, -0.16370762359689583, 0.11849100777710025, 0.032943820623172956, -0.04168375522236933, 0.16991751353171738, 0.08650061368561265, 0.12128567577085712, 0.16881320919492282, 0.040216917701234874, -0.0381231274117123, -0.3311800193041563, -0.23062583217820662, -0.11545376663773575, 0.18146432263099335, -0.046176428758454596, -0.21346615331607277, 0.43366219221868296, 0.036211614846251905, 0.1441164173566821, 0.056828625782641626, 0.22704327521337705, 0.11426022242416035, 0.12714814983138983, 0.0757789851420305, 0.13502995398911563, 0.3204473589271815, -0.059773464361734856, -0.0823425398716195, -0.06392540330786935, 0.1750522141175514] |
711.2467 | Constraints on economical 331 models from mixing of K, Bd and Bs neutral
mesons | We analyze the effect of flavor changing neutral currents within 331 models.
In particular, we concentrate in the so-called "economical" models, which have
a minimal scalar sector. Taking into account the experimental measurements of
observables related to neutral K and B meson mixing, we study the resulting
bounds for angles and phases in the mixing matrix for the down quark sector,
and the mass and mixing parameters related to the new Z' gauge boson.
| hep-ph | we analyze the effect of flavor changing neutral currents within 331 models in particular we concentrate in the socalled economical models which have a minimal scalar sector taking into account the experimental measurements of observables related to neutral k and b meson mixing we study the resulting bounds for angles and phases in the mixing matrix for the down quark sector and the mass and mixing parameters related to the new z gauge boson | [['we', 'analyze', 'the', 'effect', 'of', 'flavor', 'changing', 'neutral', 'currents', 'within', '331', 'models', 'in', 'particular', 'we', 'concentrate', 'in', 'the', 'socalled', 'economical', 'models', 'which', 'have', 'a', 'minimal', 'scalar', 'sector', 'taking', 'into', 'account', 'the', 'experimental', 'measurements', 'of', 'observables', 'related', 'to', 'neutral', 'k', 'and', 'b', 'meson', 'mixing', 'we', 'study', 'the', 'resulting', 'bounds', 'for', 'angles', 'and', 'phases', 'in', 'the', 'mixing', 'matrix', 'for', 'the', 'down', 'quark', 'sector', 'and', 'the', 'mass', 'and', 'mixing', 'parameters', 'related', 'to', 'the', 'new', 'z', 'gauge', 'boson']] | [-0.09382546911444012, 0.29822557856253273, -0.011904266625139359, 0.11998246238894157, -0.03422329589925908, -0.15049074728016718, 0.11654907307977713, 0.2998380274952364, -0.21786034192789244, -0.27678530033979865, 0.05876745889749932, -0.2497811460917866, -0.04069810003243588, 0.07987829650173316, 0.05723435749815827, 0.041881427445725816, 0.011555513216031564, -0.026863260452660756, -0.11001383448397187, -0.18214881662405222, 0.3237034675942079, -0.015522264674104549, 0.2160289531850533, 0.10492612911086227, 0.06716482681725677, -0.003946756314788316, -0.06672053493408335, -0.03885446982206525, -0.1530577577021275, 0.07239443816659921, 0.1177562402591394, 0.08516651852610144, 0.08472597323408401, -0.3933942986627084, -0.1620196580502985, 0.1684584735288612, 0.12381057110866783, 0.11334689642220887, -0.06507173791445943, -0.3194107884490812, 0.04169911002689922, -0.18420057611640644, -0.10967330558609369, -0.09833368375847065, -0.016950033762416727, -0.0936355698834853, -0.3506433389879562, 0.08981706356201824, -0.031942240377837744, 0.013272010859706113, -0.013984609307167498, -0.18947584865413405, -0.06708027425889126, 0.08994297451037611, 0.16504833401759733, -0.00916041762605813, 0.1336622756521998, -0.22129244556197444, -0.1026676640030928, 0.4425447064174994, -0.13306642601084015, -0.21412832856278968, 0.14492773829732794, -0.1914856742182196, -0.1770546813747166, 0.0703534526825958, 0.2562834869667485, 0.05949373446354592, -0.17230922795479764, 0.16973617959553627, -0.09605115085739542, 0.11181125127886599, 0.016161391659438407, 0.06427713629563113, 0.2262906964012497, 0.16053385094966036, 0.014220227767411317, 0.07450150619135112, -0.05679590174475232, -0.11558928255092453, -0.3504220873520181, -0.15163125565929994, -0.024911298636800132, 0.03425484516884427, -0.07972909925848472, -0.08044931364113565, 0.48385631670621604, 0.1548899671053388, 0.24086259335682197, -0.0026951459271053004, 0.2731947394692012, 0.09664787871706476, 0.10247511323934698, 0.04779176313329388, 0.28800183774374827, 0.21923403894981822, 0.09289234457537532, -0.256852756455742, 0.005124579410295229, 0.05871852404891035] |
711.2468 | The automorphism groups of the groups of orders $16p$ and $16p^2$ | Results of the computation of the automorphism groups for the groups of
orders $16p$ and $16p^{2}$ are given. In some cases it has not been possible to
give as complete a set of results as was done previously for the case of groups
of order $8p^2$. Problems arise for those groups of the form ($C_{p} \times
C_{p}$) @ $\G$[16] that occur in the orders $p\equiv 1$ mod(8) and $p\equiv 7$
mod(8), where $G$[16] means any group of order 16. The groups $G$[16] in
question are $C_{16}$, $D_{8}$, $QD_{8}$, and $Q_{4}$. For the other cases,
explicit presentations are presented for the automorphism groups of the groups
of orders 16$p$ and 16$p^2$.
| math.GR | results of the computation of the automorphism groups for the groups of orders 16p and 16p2 are given in some cases it has not been possible to give as complete a set of results as was done previously for the case of groups of order 8p2 problems arise for those groups of the form c_p times c_p g16 that occur in the orders pequiv 1 mod8 and pequiv 7 mod8 where g16 means any group of order 16 the groups g16 in question are c_16 d_8 qd_8 and q_4 for the other cases explicit presentations are presented for the automorphism groups of the groups of orders 16p and 16p2 | [['results', 'of', 'the', 'computation', 'of', 'the', 'automorphism', 'groups', 'for', 'the', 'groups', 'of', 'orders', '16p', 'and', '16p2', 'are', 'given', 'in', 'some', 'cases', 'it', 'has', 'not', 'been', 'possible', 'to', 'give', 'as', 'complete', 'a', 'set', 'of', 'results', 'as', 'was', 'done', 'previously', 'for', 'the', 'case', 'of', 'groups', 'of', 'order', '8p2', 'problems', 'arise', 'for', 'those', 'groups', 'of', 'the', 'form', 'c_p', 'times', 'c_p', 'g16', 'that', 'occur', 'in', 'the', 'orders', 'pequiv', '1', 'mod8', 'and', 'pequiv', '7', 'mod8', 'where', 'g16', 'means', 'any', 'group', 'of', 'order', '16', 'the', 'groups', 'g16', 'in', 'question', 'are', 'c_16', 'd_8', 'qd_8', 'and', 'q_4', 'for', 'the', 'other', 'cases', 'explicit', 'presentations', 'are', 'presented', 'for', 'the', 'automorphism', 'groups', 'of', 'the', 'groups', 'of', 'orders', '16p', 'and', '16p2']] | [-0.1870672665879609, 0.1118908483921638, -0.03345001165596944, 0.058372766991971796, -0.02561205965993961, -0.0794810924266096, 0.030861367550590692, 0.3597149847883661, -0.23506787648635372, -0.32676650791095113, 0.15710007992050312, -0.30917004348692606, -0.09311134203003263, 0.26971606643132445, -0.04583377016346928, -0.03683255278101226, -0.02858933438063722, 0.12753635600103802, -0.07185969153640985, -0.3654407963666292, 0.3282083393961964, -0.06248952575326669, 0.16155881547140624, 0.009786300875141093, 0.0494768050156604, -0.03236603720183923, -0.009521955547344713, -0.01064944022337446, -0.14797745236748322, 0.057165721062359946, 0.30853529259088047, 0.039552379619189594, 0.19222284640835705, -0.3546247043348146, -0.16358322659419533, 0.1720735073124744, 0.13508427835877915, 0.03890379565275924, -0.03208549115103933, -0.22696077480323543, 0.15168896634878484, -0.19348553046232686, -0.10050770091683657, -0.061127365301011725, 0.08296246153636361, 0.019644058168918458, -0.2509733676989475, 0.1021714635492074, 0.09492244591655315, 0.11633851534230108, -0.03712139387597453, -0.1899927189916302, 0.003381061378673141, 0.18639055496292575, 0.032228787737142925, 0.015295371676812757, 0.04889479031751178, -0.10366320998390328, -0.1575157424777676, 0.43318625152954515, 0.03666675846171478, -0.1256863229890477, 0.15671578540361292, -0.1767807647164138, -0.19362619539002343, 0.13484822015963355, 0.08720143571636586, 0.15151533558042193, -0.030928319812102138, 0.12744070159245002, -0.08053757849079117, 0.11287181435003525, 0.10560713023527192, -0.005983675579663436, 0.036291339127171154, 0.06523751800458105, 0.06598026128178287, 0.08992220489978175, 0.027460965222485784, 0.040712026237259745, -0.32644878721462106, -0.1717852922156453, -0.0651162219967447, 0.051891552345999646, -0.09197707044428548, -0.08218151173457715, 0.3667323515587926, 0.06769701964134034, 0.13536091925541185, 0.07068457517702624, 0.160327209884582, 0.06185056106310957, 0.09748597731286625, 0.07638446273247027, 0.14760333216745836, 0.1887462369060882, -0.04887013218172316, -0.12195456177347673, -0.0021349768426691023, 0.12214106907365176] |
711.2469 | Quasi-local contribution to the scalar self-force: Geodesic Motion | We consider a scalar charge travelling in a curved background spacetime. We
calculate the quasi-local contribution to the scalar self-force experienced by
such a particle following a geodesic in a general spacetime. We also show that
if we assume a massless field and a vacuum background spacetime, the expression
for the self-force simplifies significantly. We consider some specific cases
whose gravitational analog are of immediate physical interest for the
calculation of radiation reaction corrected orbits of binary black hole
systems. These systems are expected to be detectable by the LISA space based
gravitational wave observatory. We also investigate how alternate techniques
may be employed in some specific cases and use these as a check on our own
results.
| gr-qc | we consider a scalar charge travelling in a curved background spacetime we calculate the quasilocal contribution to the scalar selfforce experienced by such a particle following a geodesic in a general spacetime we also show that if we assume a massless field and a vacuum background spacetime the expression for the selfforce simplifies significantly we consider some specific cases whose gravitational analog are of immediate physical interest for the calculation of radiation reaction corrected orbits of binary black hole systems these systems are expected to be detectable by the lisa space based gravitational wave observatory we also investigate how alternate techniques may be employed in some specific cases and use these as a check on our own results | [['we', 'consider', 'a', 'scalar', 'charge', 'travelling', 'in', 'a', 'curved', 'background', 'spacetime', 'we', 'calculate', 'the', 'quasilocal', 'contribution', 'to', 'the', 'scalar', 'selfforce', 'experienced', 'by', 'such', 'a', 'particle', 'following', 'a', 'geodesic', 'in', 'a', 'general', 'spacetime', 'we', 'also', 'show', 'that', 'if', 'we', 'assume', 'a', 'massless', 'field', 'and', 'a', 'vacuum', 'background', 'spacetime', 'the', 'expression', 'for', 'the', 'selfforce', 'simplifies', 'significantly', 'we', 'consider', 'some', 'specific', 'cases', 'whose', 'gravitational', 'analog', 'are', 'of', 'immediate', 'physical', 'interest', 'for', 'the', 'calculation', 'of', 'radiation', 'reaction', 'corrected', 'orbits', 'of', 'binary', 'black', 'hole', 'systems', 'these', 'systems', 'are', 'expected', 'to', 'be', 'detectable', 'by', 'the', 'lisa', 'space', 'based', 'gravitational', 'wave', 'observatory', 'we', 'also', 'investigate', 'how', 'alternate', 'techniques', 'may', 'be', 'employed', 'in', 'some', 'specific', 'cases', 'and', 'use', 'these', 'as', 'a', 'check', 'on', 'our', 'own', 'results']] | [-0.16439440129798347, 0.11882285625768542, -0.08440192066891695, 0.1422651585199381, -0.10235131403107701, -0.10291881531761107, 0.0051703931876237235, 0.3386979797022354, -0.16608859694136655, -0.26053824711401585, 0.08356344278692662, -0.2679949212835123, -0.1958133992660096, 0.22424761159838794, -0.04358881882833854, 0.034637129107900594, 0.05156841191415817, 0.07118292636695807, -0.08911600370567797, -0.20605975525627324, 0.3707434091306591, 0.07223190615048349, 0.16441073721685148, 0.030900505292466133, 0.10772678076084387, 0.0257664288993988, -0.04506686313661857, 0.054365344473792945, -0.1473122588717068, 0.05295341330880331, 0.20462095185372411, 0.13477473899769454, 0.2081491098881273, -0.4362718064211688, -0.2569818807868445, 0.0951892072019183, 0.14453117743576482, 0.19189371421175488, -0.11143936784010601, -0.2883812121749003, 0.05906790044253408, -0.21992078239603316, -0.1533953754973235, -0.05275829155708395, 0.03506919620972979, 0.01183385037327722, -0.22309396543019153, 0.043482951555002515, 0.043025423902860384, -0.05861126788560364, -0.11252202755392735, -0.07120247231303099, -4.763023580534983e-05, 0.08727074962630237, 0.08605815039679282, 0.039869507318175144, 0.1845406858226821, -0.09129405097436097, -0.10751026177826195, 0.40456528585972423, -0.10321440098223165, -0.2724610203166761, 0.1634075794451854, -0.19286363163886008, -0.1422563594789639, 0.100010290469627, 0.20270147247603004, 0.17797999397466271, -0.17266245649622405, 0.12350101722305704, 0.018072570739358355, 0.13554378472647424, 0.12591438187223117, 0.05470137931337438, 0.304795822345699, 0.06330760811471332, 0.038361242421808, 0.14313888213581452, -0.05948851530398716, -0.06259557343940488, -0.35301145788092736, -0.17983752741060077, -0.15334163170497297, 0.09564975788853806, -0.10574436878318844, -0.1662848524638783, 0.3598569743927189, 0.17500638007704303, 0.1337489018047039, 0.00910422372063464, 0.2835292502038054, 0.11809538821522067, 0.006356288410596929, 0.08693270655708996, 0.31150309159963047, 0.0951275850243677, 0.09866053377124244, -0.2102494195993532, -0.048465847625728635, 0.05925325170885456] |
711.247 | From Characters to Quantum (Super)Spin Chains via Fusion | We give an elementary proof of the Bazhanov-Reshetikhin determinant formula
for rational transfer matrices of the twisted quantum super-spin chains
associated with the gl(K|M) algebra. This formula describes the most general
fusion of transfer matrices in symmetric representations into arbitrary finite
dimensional representations of the algebra and is at the heart of analytical
Bethe ansatz approach. Our technique represents a systematic generalization of
the usual Jacobi-Trudi formula for characters to its quantum analogue using
certain group derivatives.
| hep-th math-ph math.MP math.QA nlin.SI | we give an elementary proof of the bazhanovreshetikhin determinant formula for rational transfer matrices of the twisted quantum superspin chains associated with the glkm algebra this formula describes the most general fusion of transfer matrices in symmetric representations into arbitrary finite dimensional representations of the algebra and is at the heart of analytical bethe ansatz approach our technique represents a systematic generalization of the usual jacobitrudi formula for characters to its quantum analogue using certain group derivatives | [['we', 'give', 'an', 'elementary', 'proof', 'of', 'the', 'bazhanovreshetikhin', 'determinant', 'formula', 'for', 'rational', 'transfer', 'matrices', 'of', 'the', 'twisted', 'quantum', 'superspin', 'chains', 'associated', 'with', 'the', 'glkm', 'algebra', 'this', 'formula', 'describes', 'the', 'most', 'general', 'fusion', 'of', 'transfer', 'matrices', 'in', 'symmetric', 'representations', 'into', 'arbitrary', 'finite', 'dimensional', 'representations', 'of', 'the', 'algebra', 'and', 'is', 'at', 'the', 'heart', 'of', 'analytical', 'bethe', 'ansatz', 'approach', 'our', 'technique', 'represents', 'a', 'systematic', 'generalization', 'of', 'the', 'usual', 'jacobitrudi', 'formula', 'for', 'characters', 'to', 'its', 'quantum', 'analogue', 'using', 'certain', 'group', 'derivatives']] | [-0.14500252371286287, 0.08463319363976265, -0.11791675180345344, 0.07285285470884685, -0.10142187465374407, -0.1398582476754918, -0.0036859481448405667, 0.2953410655456154, -0.2878518066641654, -0.1962797156731157, 0.07905961347492657, -0.2394070559990053, -0.17580190565097023, 0.1910370470049154, -0.04443856335159293, 0.010857907480002675, 0.049881309322939306, 0.11705150127129041, -0.17999112526395997, -0.2027629882734465, 0.3477504742944515, 0.013671223009862987, 0.2916463989868613, 0.04316271544973317, 0.16419329632098148, 0.0959261492397146, -0.007309764096709459, -0.11493363373569752, -0.11066645315823782, 0.20076094181767026, 0.2959875361840731, 0.07535136347685598, 0.16022069380300022, -0.39330708620285515, -0.1143190934947741, 0.11276521507993732, 0.14423081428915457, 0.14733525347822396, -0.02124488717680307, -0.25717598506200473, 0.08903173273919444, -0.2855037901501514, -0.1864547032838393, -0.09169255814662106, 0.01765116416898213, -0.05449471233020488, -0.2639452621561328, 0.06609281284832641, 0.09817192598098987, 0.11643203877400465, -0.08805202873344042, -0.14797569077774442, 0.03062726982170716, 0.10254142329243845, -0.031196848700729835, -0.029881052360379773, 0.06690930933569018, -0.1095899249727441, -0.14418734247355083, 0.33626835126625865, -0.021570314567438083, -0.25026115628057405, 0.11327062102377806, -0.1297973133010888, -0.14447969814615422, 0.10282343018211816, 0.08018010102310463, 0.1519386401694072, -0.08601852577473772, 0.16902984701951745, -0.09719122649709645, 0.05000611275624435, 0.06102268591425136, -0.012790344584285967, 0.15263904295371553, 0.06476847560292012, 0.005477750195974582, 0.2163051846682241, 0.05151616381159616, -0.15479625489464716, -0.35489993601253156, -0.241683757974227, -0.19501585948991737, 0.14829049514312492, -0.1550348312653353, -0.22260222909206182, 0.399542184154454, 0.10509389432646506, 0.15828814582997247, 0.12207915757684723, 0.23750006485926478, 0.20133674291948983, 0.10810505684563204, -0.00275169441010803, 0.060944074770974875, 0.28489916222660167, 0.005895600522451691, -0.19886073307287389, -0.008868547634368664, 0.2665768533601965] |
711.2471 | The large scale dust lanes of the Galactic bar | (abridged) By comparing the distribution of dust and gas in the central
regions of the Galaxy, we aim to obtain new insights into the properties of the
offset dust lanes leading the bar's major axis in the Milky Way. On the one
hand, the molecular emission of the dust lanes is extracted from the observed
CO l-b-V distribution according to the interpretation of a dynamical model. On
the other hand, a three dimensional extinction map of the Galactic central
region constructed from near-infrared observations is used as a tracer of the
dust itself and clearly reveals dust lanes in its face-on projection.
Comparison of the position of both independent detections of the dust lanes is
performed in the (l, b) plane. These two completely independent methods are
used to provide a coherent picture of the dust lanes in the Milky Way bar. In
both the gas and dust distributions, the dust lanes are found to be out of the
Galactic plane, appearing at negative latitudes for l > 0 deg and at positive
latitudes for l < 0 deg. However, even though there is substantial overlap
between the two components, they are offset from one another with the dust
appearing to lie closer to the b = 0 deg plane. Two scenarios are proposed to
explain the observed offset. The first involves grain destruction by the bar
shock and reformation downstream. Due to the decrease in velocity caused by the
shock, this occurs at lower z. The second assumes that the gas and dust remain
on a common tilted plane, but that the molecular gas decouples from the Milky
Way's magnetic field, itself strong enough to resist the shear of the bar's
shock. The diffuse gas and dust remain coupled to the field and are carried
further downstream. This second scenario has recently been suggested in order
to explain observations of the barred galaxy NGC 1097.
| astro-ph | abridged by comparing the distribution of dust and gas in the central regions of the galaxy we aim to obtain new insights into the properties of the offset dust lanes leading the bars major axis in the milky way on the one hand the molecular emission of the dust lanes is extracted from the observed co lbv distribution according to the interpretation of a dynamical model on the other hand a three dimensional extinction map of the galactic central region constructed from nearinfrared observations is used as a tracer of the dust itself and clearly reveals dust lanes in its faceon projection comparison of the position of both independent detections of the dust lanes is performed in the l b plane these two completely independent methods are used to provide a coherent picture of the dust lanes in the milky way bar in both the gas and dust distributions the dust lanes are found to be out of the galactic plane appearing at negative latitudes for l 0 deg and at positive latitudes for l 0 deg however even though there is substantial overlap between the two components they are offset from one another with the dust appearing to lie closer to the b 0 deg plane two scenarios are proposed to explain the observed offset the first involves grain destruction by the bar shock and reformation downstream due to the decrease in velocity caused by the shock this occurs at lower z the second assumes that the gas and dust remain on a common tilted plane but that the molecular gas decouples from the milky ways magnetic field itself strong enough to resist the shear of the bars shock the diffuse gas and dust remain coupled to the field and are carried further downstream this second scenario has recently been suggested in order to explain observations of the barred galaxy ngc 1097 | [['abridged', 'by', 'comparing', 'the', 'distribution', 'of', 'dust', 'and', 'gas', 'in', 'the', 'central', 'regions', 'of', 'the', 'galaxy', 'we', 'aim', 'to', 'obtain', 'new', 'insights', 'into', 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711.2472 | Strangeness, Charm and Beauty in Quark Matter: SQM 2007 Experimental
Overview | This paper aims at providing an experimental overview of the Strangeness in
Quark Matter 2007 Conference
| nucl-ex | this paper aims at providing an experimental overview of the strangeness in quark matter 2007 conference | [['this', 'paper', 'aims', 'at', 'providing', 'an', 'experimental', 'overview', 'of', 'the', 'strangeness', 'in', 'quark', 'matter', '2007', 'conference']] | [-0.09546015676460229, 0.1730675514345421, -0.15434066698071547, 0.0035251867593615316, -0.09820543718524277, -0.008552256622351706, 0.02494243119872408, 0.2547627673484385, -0.08791471511358395, -0.40028974192682654, -0.029193475005740765, -0.3220013927202672, -0.05251178843900561, 0.059625166933983564, -0.08918804337736219, 0.062008037231862545, 0.04504853137768805, 0.04720654114498757, -0.04171418712940067, -0.34376337146386504, 0.32968714222079143, 0.19687842088751495, 0.22704609669744968, 0.28305545006878674, 0.07055411016335711, 0.0033065078023355454, -0.22093336883699521, -0.12736320146359503, -0.14446335821412504, 0.10796829627361149, 0.35381960011363844, 0.11881348112365231, 0.1826511070248671, -0.47082872223109007, -0.06399759229680058, 0.07771510351449251, 0.08186790641047992, 0.12366588111035526, -0.1489474179688841, -0.30628957971930504, 0.01444182766135782, -0.2942788614309393, -0.15481389197520912, -0.037270343280397356, 0.03541478476836346, -0.05673738871701062, -0.24252947885543108, 0.035373177321162075, 0.04457692813593894, 0.1697186976671219, -0.02648692554794252, -0.23386891512200236, 0.15281357950880192, 0.013086153077892959, 0.044586023315787315, 0.18771959873265587, 0.06683542253449559, -0.21302367465978023, -0.18173831037711352, 0.3945587445050478, 0.0038813702412880957, 0.01260545989498496, 0.16787389595992863, -0.09792426705826074, -0.2346506449393928, 0.03962812898680568, 0.28156754141673446, 0.03243271270184778, -0.3028164824936539, 0.1421166456420906, -0.08395745046436787, 0.20000924123451114, 0.045851434115320444, 0.022711535915732384, 0.37596334726549685, 0.3301851022988558, 0.001500582555308938, 0.0618695926386863, -0.017262548091821373, -0.055239381617866457, -0.454531236551702, -0.12616835068911314, -0.061288896249607205, -0.005925955600105226, 0.03998037546989508, -0.012782298144884408, 0.4829623618279584, 0.1849480955133913, 0.20044823340140283, -0.05788011773256585, 0.33780356077477336, 0.0047308715438703075, -0.18490597559139132, 0.13163858075859025, 0.22104026057058945, 0.17097927792929113, 0.3266520327888429, -0.22031835187226534, -0.016841113421833143, 0.06598681752802804] |
711.2473 | Parton Distributions for LO Generators | We present a study of the results obtained combining LO partonic matrix
elements with either LO or NLO partons distributions. These are compared to the
best prediction using NLO for both matrix elements and parton distributions.
The aim is to determine which parton distributions are most appropriate to use
in those cases where only LO matrix elements are available, e.g. as in many
Monte Carlo generators. Both LO and NLO parton distributions have flaws,
sometimes serious, for some processes, so a modified optimal LO set is
suggested. We investigate a wide variety of process, and the LO* pdf works at
least as well as, and often better than, both LO and NLO pdfs in nearly all
cases.The LO* pdf set is now available in the LHAPDF package.
| hep-ph | we present a study of the results obtained combining lo partonic matrix elements with either lo or nlo partons distributions these are compared to the best prediction using nlo for both matrix elements and parton distributions the aim is to determine which parton distributions are most appropriate to use in those cases where only lo matrix elements are available eg as in many monte carlo generators both lo and nlo parton distributions have flaws sometimes serious for some processes so a modified optimal lo set is suggested we investigate a wide variety of process and the lo pdf works at least as well as and often better than both lo and nlo pdfs in nearly all casesthe lo pdf set is now available in the lhapdf package | [['we', 'present', 'a', 'study', 'of', 'the', 'results', 'obtained', 'combining', 'lo', 'partonic', 'matrix', 'elements', 'with', 'either', 'lo', 'or', 'nlo', 'partons', 'distributions', 'these', 'are', 'compared', 'to', 'the', 'best', 'prediction', 'using', 'nlo', 'for', 'both', 'matrix', 'elements', 'and', 'parton', 'distributions', 'the', 'aim', 'is', 'to', 'determine', 'which', 'parton', 'distributions', 'are', 'most', 'appropriate', 'to', 'use', 'in', 'those', 'cases', 'where', 'only', 'lo', 'matrix', 'elements', 'are', 'available', 'eg', 'as', 'in', 'many', 'monte', 'carlo', 'generators', 'both', 'lo', 'and', 'nlo', 'parton', 'distributions', 'have', 'flaws', 'sometimes', 'serious', 'for', 'some', 'processes', 'so', 'a', 'modified', 'optimal', 'lo', 'set', 'is', 'suggested', 'we', 'investigate', 'a', 'wide', 'variety', 'of', 'process', 'and', 'the', 'lo', 'pdf', 'works', 'at', 'least', 'as', 'well', 'as', 'and', 'often', 'better', 'than', 'both', 'lo', 'and', 'nlo', 'pdfs', 'in', 'nearly', 'all', 'casesthe', 'lo', 'pdf', 'set', 'is', 'now', 'available', 'in', 'the', 'lhapdf', 'package']] | [-0.015987514606200334, 0.13555572999963963, -0.11188747955845507, 0.1511085749889604, -0.021541777118219165, -0.05925014473160538, -0.025308004010278058, 0.45318497888978543, -0.17592713770027618, -0.2655859833700568, 0.09144877703625738, -0.3570442944618426, -0.03156623095603968, 0.13721810017096422, 0.007988916211358206, 0.1571425846787023, 0.08535536787817329, -0.08104977360009913, -0.08056751661383965, -0.24190916577500737, 0.30696565279825117, 0.07018897883359372, 0.23775883717095758, 0.05676013024846517, 0.07544088267948566, 0.06697679321670275, -0.09341630888149494, -0.05514946790845704, -0.10440642370908397, 0.062184362344106466, 0.31502007643736196, 0.0778074144591086, 0.16595756073343002, -0.37050906810762846, -0.13342494033753696, 0.045118199280045165, 0.16178565642346837, 0.14012979229409833, 0.02932863756940942, -0.19860084728139826, 0.0815398822223225, -0.2891863027998195, -0.1143429370333008, -0.1382806610561702, -0.060323539809653846, 0.04494632205350222, -0.3159821463206152, 0.023363750310629372, -0.03530187054819567, -0.000797210778219728, 0.09571331761792068, -0.28400472080789685, -0.08286723201016448, 0.09834904790311451, 0.05019072534247874, 0.07973000368444381, 0.07662141195124411, -0.17028393489345323, -0.15895633697033104, 0.3958644080709109, -0.04344403851049949, -0.157012592500633, 0.15865213806396278, -0.19516243191259935, -0.12886245949487166, 0.14973083353330066, 0.19809196553171032, 0.10967747144599072, -0.20775335542784315, 0.06684691068949178, 0.03244449798105739, 0.157190680232515, 0.0521147397830789, 0.058119655396114654, 0.08075260973396146, 0.12691447110186646, -0.011017126555088907, 0.01687001326033391, -0.027405803132156924, -0.12612041710017938, -0.3618020568790985, -0.09196241584599135, -0.15173511569091214, -0.006094172133103482, -0.11365629858316718, -0.18205953480338488, 0.3345956757158686, 0.18180140995193184, 0.23852853301736548, 0.045855896970015166, 0.3161539940207493, 0.11237565769312544, 0.07096590904159633, 0.12707608237158596, 0.2125834424701092, 0.12943108426773642, 0.01789927546037581, -0.15084676440130537, 0.11564135141524039, 0.05529904709468911] |
711.2474 | Casimir effect in deformed field | The Casimir energy is calculated in one-, two-, and three-dimensional spaces
for the field with generalized coordinates and momenta satisfying the deformed
Poisson brackets leading to the minimal length.
| quant-ph | the casimir energy is calculated in one two and threedimensional spaces for the field with generalized coordinates and momenta satisfying the deformed poisson brackets leading to the minimal length | [['the', 'casimir', 'energy', 'is', 'calculated', 'in', 'one', 'two', 'and', 'threedimensional', 'spaces', 'for', 'the', 'field', 'with', 'generalized', 'coordinates', 'and', 'momenta', 'satisfying', 'the', 'deformed', 'poisson', 'brackets', 'leading', 'to', 'the', 'minimal', 'length']] | [-0.16324790599274225, 0.1891931913279254, -0.020736583075004405, 0.11691722526327418, -0.06280545646260524, -0.09585065375371225, -0.10089815118960266, 0.3188834906041879, -0.28093625386727267, -0.24973851306652972, -0.024606294468334265, -0.2675936442061231, -0.07029501727685847, 0.18761387338926053, -0.016659539835206395, 0.04645115336210563, 0.00014727972929590735, 0.13521011334297986, -0.17314161276765938, -0.20796548074175572, 0.4377243187406967, 0.0741733024017243, 0.25225118085228165, -0.013860150593621978, 0.16004881174464164, 0.057716056295060394, 0.013800739856629536, 0.04666638104566213, -0.1904393427780476, 0.11289984649368401, 0.18697161304539647, -0.06545983075067915, 0.13683441982219188, -0.408406646151481, -0.14699121731622466, 0.12378734790174098, 0.08059793453792045, 0.03731892277197591, 0.01560270818399972, -0.23971528871434516, 0.030549234871206612, -0.1349984272704299, -0.20499882879185266, -0.06097640973869069, 0.010668354546490672, 0.03294892011788385, -0.26298047480141296, 0.06682822313801996, 0.018972883876091962, 0.024547941340454692, -0.14545404811486087, -0.12015889238180785, -0.08565724840195015, 0.06504359712888455, 0.0534422822890739, 0.044265183459582, 0.09485715993776403, -0.0687716400957313, -0.10949690389479029, 0.4377966088981464, 0.023251388543124855, -0.3500939115625003, 0.10279172479078688, -0.16072448686664476, -0.10574556299453151, 0.135427779582297, 0.061506556748444664, 0.05977503547308453, -0.14598918661218266, 0.1554011638589396, 0.040520419013397445, 0.044743910648635234, 0.1665700659284304, 0.016643048874263107, 0.1725195913479246, 0.06646469042732797, 0.04211962711194466, 0.11352679961971168, -0.09345977714863317, -0.18503548950559043, -0.3658083240533697, -0.2204892728798862, -0.17033290782750682, 0.05618848911775597, -0.1611288183936769, -0.18293367249184642, 0.3664017029363534, 0.06229670689409149, 0.19584870185092862, 0.08439640109908991, 0.2589012112083106, 0.16399752586309252, 0.11902849795296788, 0.08762461674431789, 0.21158588704942116, 0.19709450265408718, 0.08428654408660428, -0.20741933296787843, -0.13871055401476293, 0.1762477987734922] |
711.2475 | Photon bremsstrahlung and diffusive broadening of a hard jet | The photon bremsstrahlung rate from a quark jet produced in deep-inelastic
scattering (DIS) off a large nucleus is studied in the collinear limit. The
leading medium-enhanced higher twist corrections which describe the multiple
scattering of the jet in the nucleus are re-summed to all orders of twist. The
propagation of the jet in the absence of further radiative energy loss is shown
to be governed by a transverse momentum diffusion equation. We compute the
final photon spectrum in the limit of soft photons, taking into account the
leading and next-to-leading terms in the photon momentum fraction y. In this
limit, the photon spectrum in a physical gauge is shown to arise from two
interfering sources: one where the initial hard scattering produces an
off-shell quark which immediately radiates the photon and then undergoes
subsequent soft re-scattering; alternatively the quark is produced on-shell and
propagates through the medium until it is driven off-shell by re-scattering and
radiates the photon. Our result has a simple formal structure as a product of
the photon splitting function, the quark transverse momentum distribution
coming from a diffusion equation and a dimensionless factor which encodes the
effect of the interferences encountered by the propagating quark over the
length of the medium. The destructive nature of such interferences in the small
y limit are responsible for the origin of the Landau-Pomeranchuck-Migdal (LPM)
effect. Along the way we also discuss possible implications for quark jets in
hot nuclear matter.
| nucl-th hep-ph | the photon bremsstrahlung rate from a quark jet produced in deepinelastic scattering dis off a large nucleus is studied in the collinear limit the leading mediumenhanced higher twist corrections which describe the multiple scattering of the jet in the nucleus are resummed to all orders of twist the propagation of the jet in the absence of further radiative energy loss is shown to be governed by a transverse momentum diffusion equation we compute the final photon spectrum in the limit of soft photons taking into account the leading and nexttoleading terms in the photon momentum fraction y in this limit the photon spectrum in a physical gauge is shown to arise from two interfering sources one where the initial hard scattering produces an offshell quark which immediately radiates the photon and then undergoes subsequent soft rescattering alternatively the quark is produced onshell and propagates through the medium until it is driven offshell by rescattering and radiates the photon our result has a simple formal structure as a product of the photon splitting function the quark transverse momentum distribution coming from a diffusion equation and a dimensionless factor which encodes the effect of the interferences encountered by the propagating quark over the length of the medium the destructive nature of such interferences in the small y limit are responsible for the origin of the landaupomeranchuckmigdal lpm effect along the way we also discuss possible implications for quark jets in hot nuclear matter | [['the', 'photon', 'bremsstrahlung', 'rate', 'from', 'a', 'quark', 'jet', 'produced', 'in', 'deepinelastic', 'scattering', 'dis', 'off', 'a', 'large', 'nucleus', 'is', 'studied', 'in', 'the', 'collinear', 'limit', 'the', 'leading', 'mediumenhanced', 'higher', 'twist', 'corrections', 'which', 'describe', 'the', 'multiple', 'scattering', 'of', 'the', 'jet', 'in', 'the', 'nucleus', 'are', 'resummed', 'to', 'all', 'orders', 'of', 'twist', 'the', 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711.2476 | Non-quasiparticle states in Co$_2$MnSi evidenced through magnetic tunnel
junction spectroscopy measurements | We investigate the effects of electronic correlations in the full-Heusler
Co$_2$MnSi, by combining a theoretical analysis of the spin-resolved density of
states with tunneling-conductance spectroscopy measurements using Co$_2$MnSi as
electrode. Both experimental and theoretical results confirm the existence of
so-called non-quasiparticle states and their crucial contribution to the
finite-temperature spin polarisation in this material.
| cond-mat.str-el cond-mat.mtrl-sci | we investigate the effects of electronic correlations in the fullheusler co_2mnsi by combining a theoretical analysis of the spinresolved density of states with tunnelingconductance spectroscopy measurements using co_2mnsi as electrode both experimental and theoretical results confirm the existence of socalled nonquasiparticle states and their crucial contribution to the finitetemperature spin polarisation in this material | [['we', 'investigate', 'the', 'effects', 'of', 'electronic', 'correlations', 'in', 'the', 'fullheusler', 'co_2mnsi', 'by', 'combining', 'a', 'theoretical', 'analysis', 'of', 'the', 'spinresolved', 'density', 'of', 'states', 'with', 'tunnelingconductance', 'spectroscopy', 'measurements', 'using', 'co_2mnsi', 'as', 'electrode', 'both', 'experimental', 'and', 'theoretical', 'results', 'confirm', 'the', 'existence', 'of', 'socalled', 'nonquasiparticle', 'states', 'and', 'their', 'crucial', 'contribution', 'to', 'the', 'finitetemperature', 'spin', 'polarisation', 'in', 'this', 'material']] | [-0.12044952800145971, 0.13428036794769313, -0.10851852406027182, 0.03105758625864631, 0.01707083532446117, -0.0642101539140743, 0.10916750765634033, 0.3642480678786084, -0.2242003113980282, -0.3061650864920526, 0.04087478545810676, -0.36173095684147105, -0.11550182367692578, 0.1622134883062176, 0.08334388524153323, 0.08289803590906679, 0.01349744383456572, -0.10773338800963927, -0.12356430682230671, -0.13319677329745214, 0.30601773157996953, 0.0712117029459409, 0.302648566346967, 0.16426007298506656, 0.0099919021814921, 0.05387005612324431, 0.0248316285762725, 0.03634389047071619, -0.1709308321675602, 0.11178987790206622, 0.2541422947740428, -0.05608141503103499, 0.19316184647240728, -0.4821702576470825, -0.19992647819080442, -0.028900369158330955, 0.07464302238076925, 0.15186722585404255, -0.1074288752422018, -0.31031424559231074, 0.042951705760129216, -0.13948001700260168, -0.13871006517372322, -0.1593005501682747, -0.04307128508346823, 0.025837267379996913, -0.21168927838784238, 0.12591783380803634, 0.026757466228995122, 0.07963195774168268, -0.1323527281242862, -0.16428128475288176, -0.08735337903512255, 0.08819695227375289, 0.025066724451223633, 0.009013707890122567, 0.12612717149708913, -0.13668000336543148, -0.1666602110665924, 0.3160716621820235, -0.08205340374349002, -0.10243106074631214, 0.1353693667465364, -0.21431639854673226, -0.11802016100231207, 0.07010698188447727, 0.11578508239801762, 0.11355772285880346, -0.12427963452624544, 0.04028743118287134, -0.02731082758224868, 0.15125008813052807, -0.03861491505126908, 0.13915991918447446, 0.22187162626464413, 0.20117310965257995, -0.05107291742175255, 0.1563114369472594, -0.1619684930961087, -0.03727542691565347, -0.2454916753999467, -0.17672083486433862, -0.21094051708976896, 0.056260339917948925, -0.027316014782661782, -0.15954757068868516, 0.45972149074077606, 0.15763023293594708, 0.19922004043528774, -0.04129358381032944, 0.27506637337775725, 0.06329212533990976, 0.02156342734705727, -0.01823469009777566, 0.30015912634443564, 0.27033521467380506, 0.09105019967229862, -0.3502195291221142, 0.12172806504586677, -0.05794484598808131] |
711.2477 | Photometric Redshift Estimation on SDSS Data Using Random Forests | Given multiband photometric data from the SDSS DR6, we estimate galaxy
redshifts. We employ a Random Forest trained on color features and
spectroscopic redshifts from 80,000 randomly chosen primary galaxies yielding a
mapping from color to redshift such that the difference between the estimate
and the spectroscopic redshift is small. Our methodology results in tight RMS
scatter in the estimates limited by photometric errors. Additionally, this
approach yields an error distribution that is nearly Gaussian with parameter
estimates giving reliable confidence intervals unique to each galaxy
photometric redshift.
| astro-ph | given multiband photometric data from the sdss dr6 we estimate galaxy redshifts we employ a random forest trained on color features and spectroscopic redshifts from 80000 randomly chosen primary galaxies yielding a mapping from color to redshift such that the difference between the estimate and the spectroscopic redshift is small our methodology results in tight rms scatter in the estimates limited by photometric errors additionally this approach yields an error distribution that is nearly gaussian with parameter estimates giving reliable confidence intervals unique to each galaxy photometric redshift | [['given', 'multiband', 'photometric', 'data', 'from', 'the', 'sdss', 'dr6', 'we', 'estimate', 'galaxy', 'redshifts', 'we', 'employ', 'a', 'random', 'forest', 'trained', 'on', 'color', 'features', 'and', 'spectroscopic', 'redshifts', 'from', '80000', 'randomly', 'chosen', 'primary', 'galaxies', 'yielding', 'a', 'mapping', 'from', 'color', 'to', 'redshift', 'such', 'that', 'the', 'difference', 'between', 'the', 'estimate', 'and', 'the', 'spectroscopic', 'redshift', 'is', 'small', 'our', 'methodology', 'results', 'in', 'tight', 'rms', 'scatter', 'in', 'the', 'estimates', 'limited', 'by', 'photometric', 'errors', 'additionally', 'this', 'approach', 'yields', 'an', 'error', 'distribution', 'that', 'is', 'nearly', 'gaussian', 'with', 'parameter', 'estimates', 'giving', 'reliable', 'confidence', 'intervals', 'unique', 'to', 'each', 'galaxy', 'photometric', 'redshift']] | [-0.0002608418528159911, 0.052750504852321516, -0.11498356340135532, 0.11139046448542186, -0.11720146947879005, -0.08289312530012632, 0.12064045565520329, 0.49604902585799043, -0.15506027443122797, -0.3282603259960359, 0.030992697677654425, -0.3473638114942746, -0.016689175778248518, 0.22429307232695547, -0.09924481292149391, 0.05671026413752274, 0.10798897737351415, -0.10871692353182218, -0.04495522169351964, -0.3522110966203565, 0.27864672636496834, 0.0632681344551119, 0.24725701838244937, -0.13521330257539044, 0.12896527752772355, -0.025410246871284802, -0.15177638502130072, -0.004957714110126041, -0.22178968928561849, 0.05835432810603048, 0.28316104900229466, 0.14075687843565407, 0.2682427766055546, -0.20476890140509402, -0.1896066872127862, 0.08954581498454156, 0.18092232874584047, 0.13798410625366325, -0.06214696825720074, -0.3138524725906212, 0.0963453518290242, -0.14022102683652934, -0.08701893422138793, 0.0177642264964313, -0.033527829578485, 0.06506609776988626, -0.28452750574665103, 0.18563351158941674, -0.017091940194156698, 0.14683737006800418, -0.11793615187475966, -0.11224857102338733, -0.06406981447468173, 0.14985427994873712, -0.026350953214039855, 0.1288995556903749, 0.09197202084628357, -0.09995391222764738, 0.031480629949576476, 0.36590197777629574, -0.0770648407289462, -0.05599626409821212, 0.1464704718038609, -0.1493114379488609, -0.16307342500658706, 0.09631214469184422, 0.21968216196414272, 0.03619881405029446, -0.20660609284161843, -0.0015118147619597783, 0.0013394199406982145, 0.30397132407365873, -0.019680629230358383, 0.06679109827680142, 0.24787588126094884, 0.07372924877563491, 0.10258713088908487, 0.060945639280940996, -0.2785133559082169, 0.048428653167899356, -0.27775039566172793, -0.0019011823354627597, -0.23313319747632538, 0.08679696887504013, -0.24250671763299828, -0.16100214257444764, 0.3955494418465109, 0.2024404888824475, 0.28078584863925987, 0.1762077728159387, 0.344039872944863, 0.06770338416919747, 0.09563074137126519, 0.06631492606406524, 0.26201834927567025, 0.11926240365772339, -0.01373769170392982, -0.14530281916482968, 0.050967316047965804, 0.038507155015725984] |
711.2478 | A Compact Self-organizing Cellular Automata-based Genetic Algorithm | A Genetic Algorithm (GA) is proposed in which each member of the population
can change schemata only with its neighbors according to a rule. The rule
methodology and the neighborhood structure employ elements from the Cellular
Automata (CA) strategies. Each member of the GA population is assigned to a
cell and crossover takes place only between adjacent cells, according to the
predefined rule. Although combinations of CA and GA approaches have appeared
previously, here we rely on the inherent self-organizing features of CA, rather
than on parallelism. This conceptual shift directs us toward the evolution of
compact populations containing only a handful of members. We find that the
resulting algorithm can search the design space more efficiently than
traditional GA strategies due to its ability to exploit mutations within this
compact self-organizing population. Consequently, premature convergence is
avoided and the final results often are more accurate. In order to reinforce
the superior mutation capability, a re-initialization strategy also is
implemented. Ten test functions and two benchmark structural engineering truss
design problems are examined in order to demonstrate the performance of the
method.
| cs.NE cs.AI | a genetic algorithm ga is proposed in which each member of the population can change schemata only with its neighbors according to a rule the rule methodology and the neighborhood structure employ elements from the cellular automata ca strategies each member of the ga population is assigned to a cell and crossover takes place only between adjacent cells according to the predefined rule although combinations of ca and ga approaches have appeared previously here we rely on the inherent selforganizing features of ca rather than on parallelism this conceptual shift directs us toward the evolution of compact populations containing only a handful of members we find that the resulting algorithm can search the design space more efficiently than traditional ga strategies due to its ability to exploit mutations within this compact selforganizing population consequently premature convergence is avoided and the final results often are more accurate in order to reinforce the superior mutation capability a reinitialization strategy also is implemented ten test functions and two benchmark structural engineering truss design problems are examined in order to demonstrate the performance of the method | [['a', 'genetic', 'algorithm', 'ga', 'is', 'proposed', 'in', 'which', 'each', 'member', 'of', 'the', 'population', 'can', 'change', 'schemata', 'only', 'with', 'its', 'neighbors', 'according', 'to', 'a', 'rule', 'the', 'rule', 'methodology', 'and', 'the', 'neighborhood', 'structure', 'employ', 'elements', 'from', 'the', 'cellular', 'automata', 'ca', 'strategies', 'each', 'member', 'of', 'the', 'ga', 'population', 'is', 'assigned', 'to', 'a', 'cell', 'and', 'crossover', 'takes', 'place', 'only', 'between', 'adjacent', 'cells', 'according', 'to', 'the', 'predefined', 'rule', 'although', 'combinations', 'of', 'ca', 'and', 'ga', 'approaches', 'have', 'appeared', 'previously', 'here', 'we', 'rely', 'on', 'the', 'inherent', 'selforganizing', 'features', 'of', 'ca', 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711.2479 | Enhancement in spin-torque efficiency by nonuniform spin current
generated within a tapered nanopillar spin valve | We examine the effect a spatially non-uniform spin current with a component
polarized partially out of the plane has on a low saturation magnetization
nanomagnet free layer. Micromagnetic simulations indicate that the spin torque
efficiency acting upon the reversing nanomagnet can be enhanced through this
process, resulting in faster switching with smaller currents. In doing so, we
determine that micromagnetic structure within the nanomagnets can be beneficial
for reversal processes. We verify this enhancement experimentally in devices
with a tapered nanopillar geometry that generates a spin current polarized
partly out of plane. Finally, to take even better advantage of these effects,
we examine micromagnetically the benefits of a tapered three-magnetic-layer
structure that further reduces reversal times while maintaining the thermal
stability of the free layer.
| cond-mat.other | we examine the effect a spatially nonuniform spin current with a component polarized partially out of the plane has on a low saturation magnetization nanomagnet free layer micromagnetic simulations indicate that the spin torque efficiency acting upon the reversing nanomagnet can be enhanced through this process resulting in faster switching with smaller currents in doing so we determine that micromagnetic structure within the nanomagnets can be beneficial for reversal processes we verify this enhancement experimentally in devices with a tapered nanopillar geometry that generates a spin current polarized partly out of plane finally to take even better advantage of these effects we examine micromagnetically the benefits of a tapered threemagneticlayer structure that further reduces reversal times while maintaining the thermal stability of the free layer | [['we', 'examine', 'the', 'effect', 'a', 'spatially', 'nonuniform', 'spin', 'current', 'with', 'a', 'component', 'polarized', 'partially', 'out', 'of', 'the', 'plane', 'has', 'on', 'a', 'low', 'saturation', 'magnetization', 'nanomagnet', 'free', 'layer', 'micromagnetic', 'simulations', 'indicate', 'that', 'the', 'spin', 'torque', 'efficiency', 'acting', 'upon', 'the', 'reversing', 'nanomagnet', 'can', 'be', 'enhanced', 'through', 'this', 'process', 'resulting', 'in', 'faster', 'switching', 'with', 'smaller', 'currents', 'in', 'doing', 'so', 'we', 'determine', 'that', 'micromagnetic', 'structure', 'within', 'the', 'nanomagnets', 'can', 'be', 'beneficial', 'for', 'reversal', 'processes', 'we', 'verify', 'this', 'enhancement', 'experimentally', 'in', 'devices', 'with', 'a', 'tapered', 'nanopillar', 'geometry', 'that', 'generates', 'a', 'spin', 'current', 'polarized', 'partly', 'out', 'of', 'plane', 'finally', 'to', 'take', 'even', 'better', 'advantage', 'of', 'these', 'effects', 'we', 'examine', 'micromagnetically', 'the', 'benefits', 'of', 'a', 'tapered', 'threemagneticlayer', 'structure', 'that', 'further', 'reduces', 'reversal', 'times', 'while', 'maintaining', 'the', 'thermal', 'stability', 'of', 'the', 'free', 'layer']] | [-0.17084592325057113, 0.1739244549140905, -0.06773457590926198, -0.008196762837527669, -0.09231311965530979, -0.0834390889672983, 0.04433463526055998, 0.46094515481062476, -0.2990817069526642, -0.26370282950360446, 0.06647603350575082, -0.21639506163398525, -0.1039385313877926, 0.21925326001890486, 0.029710890734643346, -0.03239643626617298, 0.02722726329680412, -0.059431258363709334, -0.07092735278908344, -0.19741790624891198, 0.244235759060229, 0.06760779750953999, 0.3351222173791499, 0.05783907963984435, 0.10834566200332295, 0.023329791654231807, 0.06930923331979542, 0.05861837309954177, -0.10524136654778211, 0.06522726825430929, 0.193029384339048, -0.04076989283860331, 0.1947828893467123, -0.533639602321801, -0.2299949107677563, 0.037245098328698545, 0.16358979946498067, 0.15378511068411171, -0.05889120178706493, -0.23715915737838875, 0.13445065919339896, -0.16538040010228514, -0.13267328499827155, -0.0962067092768848, -0.0267355564846507, -0.0014917875875741424, -0.24117714779229923, 0.053344356729799224, 0.12593594117976364, 0.05192305168677722, -0.013176384849136793, -0.08258131339267318, -0.09260573461952229, 0.07964405321024148, 0.028877885827950516, 0.032218689534572825, 0.21047659852587047, -0.12612524443501305, -0.1497469021067504, 0.2932531259383165, -0.08061638217458816, -0.22054335945135645, 0.10874003453195215, -0.20203599188056204, -0.06496699385705494, 0.1299460483339405, 0.15264628921830725, 0.11491733593603355, -0.11872097857074902, 0.041125856522299845, -0.012346883800121085, 0.21281754336650333, 0.05559013143647462, -0.0027185327733957, 0.26060659422787025, 0.21649113278873566, 0.09088283013214447, 0.21769283583665627, -0.1304516881505298, -0.10781433116907495, -0.2223648782669296, -0.1472828546764269, -0.15120312821818516, 0.09188892802922055, -0.08813530290424224, -0.10123880181626807, 0.40637143360706224, 0.18348782903687547, 0.16962845817268377, -0.00019933066270764796, 0.3296128720075132, 0.1286699284213565, 0.11406949074608425, 0.0541224800155408, 0.25602778345496663, 0.14939011848201195, 0.0866504232042409, -0.30916563187155033, 0.08551756040598717, -0.059360347729506754] |
711.248 | Alignments of Voids in the Cosmic Web | We investigate the shapes and mutual alignment of voids in the large scale
matter distribution of a LCDM cosmology simulation. The voids are identified
using the novel WVF void finder technique. The identified voids are quite
nonspherical and slightly prolate, with axis ratios in the order of c:b:a
approx. 0.5:0.7:1. Their orientations are strongly correlated with significant
alignments spanning scales >30 Mpc/h.
We also find an intimate link between the cosmic tidal field and the void
orientations. Over a very wide range of scales we find a coherent and strong
alignment of the voids with the tidal field computed from the smoothed density
distribution. This orientation-tide alignment remains significant on scales
exceeding twice the typical void size, which shows that the long range external
field is responsible for the alignment of the voids. This confirms the view
that the large scale tidal force field is the main agent for the large scale
spatial organization of the Cosmic Web.
| astro-ph | we investigate the shapes and mutual alignment of voids in the large scale matter distribution of a lcdm cosmology simulation the voids are identified using the novel wvf void finder technique the identified voids are quite nonspherical and slightly prolate with axis ratios in the order of cba approx 05071 their orientations are strongly correlated with significant alignments spanning scales 30 mpch we also find an intimate link between the cosmic tidal field and the void orientations over a very wide range of scales we find a coherent and strong alignment of the voids with the tidal field computed from the smoothed density distribution this orientationtide alignment remains significant on scales exceeding twice the typical void size which shows that the long range external field is responsible for the alignment of the voids this confirms the view that the large scale tidal force field is the main agent for the large scale spatial organization of the cosmic web | [['we', 'investigate', 'the', 'shapes', 'and', 'mutual', 'alignment', 'of', 'voids', 'in', 'the', 'large', 'scale', 'matter', 'distribution', 'of', 'a', 'lcdm', 'cosmology', 'simulation', 'the', 'voids', 'are', 'identified', 'using', 'the', 'novel', 'wvf', 'void', 'finder', 'technique', 'the', 'identified', 'voids', 'are', 'quite', 'nonspherical', 'and', 'slightly', 'prolate', 'with', 'axis', 'ratios', 'in', 'the', 'order', 'of', 'cba', 'approx', '05071', 'their', 'orientations', 'are', 'strongly', 'correlated', 'with', 'significant', 'alignments', 'spanning', 'scales', '30', 'mpch', 'we', 'also', 'find', 'an', 'intimate', 'link', 'between', 'the', 'cosmic', 'tidal', 'field', 'and', 'the', 'void', 'orientations', 'over', 'a', 'very', 'wide', 'range', 'of', 'scales', 'we', 'find', 'a', 'coherent', 'and', 'strong', 'alignment', 'of', 'the', 'voids', 'with', 'the', 'tidal', 'field', 'computed', 'from', 'the', 'smoothed', 'density', 'distribution', 'this', 'orientationtide', 'alignment', 'remains', 'significant', 'on', 'scales', 'exceeding', 'twice', 'the', 'typical', 'void', 'size', 'which', 'shows', 'that', 'the', 'long', 'range', 'external', 'field', 'is', 'responsible', 'for', 'the', 'alignment', 'of', 'the', 'voids', 'this', 'confirms', 'the', 'view', 'that', 'the', 'large', 'scale', 'tidal', 'force', 'field', 'is', 'the', 'main', 'agent', 'for', 'the', 'large', 'scale', 'spatial', 'organization', 'of', 'the', 'cosmic', 'web']] | [-0.17024236198705742, 0.12836243769608047, -0.08282317967416766, 0.11079705862973172, -0.04983743549867844, 0.011956786330884848, -0.0613059104876951, 0.3987570991142629, -0.2575147976824202, -0.3992394810148443, 0.008939767048921054, -0.21819382628055814, -0.08417640617475487, 0.1479478054172479, 0.049838084467829995, -0.03134839720009134, 0.012997904320796713, -0.0364738759608605, -0.05643954945023721, -0.24208951803395906, 0.29147855365851844, 0.12205040742619297, 0.2938810295234315, 0.0038868986213436495, 0.09161744092722447, -0.027340584380838733, -0.07068495323153165, 0.07816724789340813, -0.18196855708167556, 0.07411402217052782, 0.1705773914253745, 0.07294266207892901, 0.23896175450108087, -0.37218143915136653, -0.17483702737995488, 0.09859660686626552, 0.17336868005524872, 0.13695901805066313, -0.0747206643237195, -0.2849676200406602, 0.1030366691844299, -0.14366554188876388, -0.13519581779837608, 0.021484684497595597, 0.045959703060081944, 0.06738222125344552, -0.2116674589663326, 0.18569032283770726, 0.010975983358012179, 0.07067529874620959, -0.049114360144206635, -0.09500103456435355, -0.005449266807259753, 0.10139243601439282, 0.07566361862700433, 0.06487445020376562, 0.20257059186219406, -0.17507891294409114, -0.01840553814933325, 0.4231139734172477, -0.05039389910794293, -0.10855393835868782, 0.20178577973423764, -0.19308651460988374, -0.12229338231293532, 0.14547533920118347, 0.1590195648202028, 0.08526140495609397, -0.09934509017815192, 0.06396132422527537, -0.027693264201307334, 0.22035891903737465, 0.07698018910685697, -0.005599671831497779, 0.32278937533779894, 0.15534327367846018, 0.08938497906544796, 0.08762285334822269, -0.20536215802153143, -0.08019944288146992, -0.2751308042288889, -0.08175542231840201, -0.20076854914599934, 0.006842735877188926, -0.21367081609899358, -0.20431552175432444, 0.36232045714934474, 0.14370599081321883, 0.2367520104520596, 0.09278730507298277, 0.26350375119214636, 0.012511724931522248, 0.14026840685908562, 0.05830383491224776, 0.28150304964779377, 0.11889353164811976, 0.07250284421099469, -0.2116911594818633, 0.05703575204825029, -0.055473867629189044] |
711.2481 | New Multiwavelength Observations of PKS 2155-304 and Implications for
the Coordinated Variability Patterns of Blazars | The TeV blazar PKS 2155--304 was the subject of an intensive 2 week optical
and near-infrared observing campaign in 2004 August with the CTIO 0.9m
telescope. During this time, simultaneous X-ray data from RXTE were also
obtained. We compare the results of our observations to the results from two
previous simultaneous multiwavelength campaigns on PKS 2155-304. We conclude
that the correlation between the X-ray and UV/optical variability is strongest
and the time lag is shortest (only a few hours) when the object is brightest.
As the object becomes fainter, the correlations are weaker and the lags longer,
increasing to a few days. Based on the results of four campaigns, we find
evidence for a linear relationship between the mean optical brightness and lag
time of X-ray and UV/optical events. Furthermore, we assert that this behavior,
along with the different multiwavelength flare lag times across different flux
states is consistent with a highly relativistic shock propagating down the jet
producing the flares observed during a high state. In a quiescent state, the
variability is likely to be due to a number of factors including both the jet
and contributions outside of the jet, such as the accretion disk.
| astro-ph | the tev blazar pks 2155304 was the subject of an intensive 2 week optical and nearinfrared observing campaign in 2004 august with the ctio 09m telescope during this time simultaneous xray data from rxte were also obtained we compare the results of our observations to the results from two previous simultaneous multiwavelength campaigns on pks 2155304 we conclude that the correlation between the xray and uvoptical variability is strongest and the time lag is shortest only a few hours when the object is brightest as the object becomes fainter the correlations are weaker and the lags longer increasing to a few days based on the results of four campaigns we find evidence for a linear relationship between the mean optical brightness and lag time of xray and uvoptical events furthermore we assert that this behavior along with the different multiwavelength flare lag times across different flux states is consistent with a highly relativistic shock propagating down the jet producing the flares observed during a high state in a quiescent state the variability is likely to be due to a number of factors including both the jet and contributions outside of the jet such as the accretion disk | [['the', 'tev', 'blazar', 'pks', '2155304', 'was', 'the', 'subject', 'of', 'an', 'intensive', '2', 'week', 'optical', 'and', 'nearinfrared', 'observing', 'campaign', 'in', '2004', 'august', 'with', 'the', 'ctio', '09m', 'telescope', 'during', 'this', 'time', 'simultaneous', 'xray', 'data', 'from', 'rxte', 'were', 'also', 'obtained', 'we', 'compare', 'the', 'results', 'of', 'our', 'observations', 'to', 'the', 'results', 'from', 'two', 'previous', 'simultaneous', 'multiwavelength', 'campaigns', 'on', 'pks', '2155304', 'we', 'conclude', 'that', 'the', 'correlation', 'between', 'the', 'xray', 'and', 'uvoptical', 'variability', 'is', 'strongest', 'and', 'the', 'time', 'lag', 'is', 'shortest', 'only', 'a', 'few', 'hours', 'when', 'the', 'object', 'is', 'brightest', 'as', 'the', 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'disk']] | [-0.0694969081376599, 0.14780571607130918, -0.0829586256271805, 0.10645014760119907, -0.11285335692780347, -0.09374451462585989, 0.03665720410455907, 0.5055634910571696, -0.17559181585870115, -0.35421685633121935, 0.12900874614219185, -0.33630352043712197, -0.04243506364013792, 0.2459050406498579, -0.026372727429787367, 0.00825808817865847, 0.11220248793086349, -0.09093481259240868, -0.044486291970121605, -0.23917171628235692, 0.24007510910044674, 0.08362476264958643, 0.19800264479564078, 0.010070800405707172, 0.09777641573478822, -0.022899114240792953, -0.07560867806281989, -0.04351402941126811, -0.055769442661377594, 0.03252905388545897, 0.2061665214924378, 0.10566467845453148, 0.2459153131331284, -0.38090647199205335, -0.21854884177446365, 0.04949245237872988, 0.09937187212490982, -0.001992308612685972, 0.03453230578806913, -0.2842918691901386, 0.014479248797483175, -0.163095274063768, -0.09920819266581066, 0.0833848475662963, 0.08522239217279375, 0.017159825669563738, 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711.2482 | Transport modulation of graphene nanoribbons with side-attached organic
molecules | In this work we address the effects on the conductance of graphene
nanoribbons (GNRs) at which organic molecules are side-attached on the ribbon
ends. For simplicity, only armchair (AGNRs) and zigzag (ZGNRs) nanoribbons are
considered and quasi one-dimensional molecules, such as linear poly-aromatic
hydrocarbon (LPHC) and poly(para-phenylene), are chosen. The conductance of the
GNRs exhibit a particular behavior as a function of the length of the organic
molecules: the energy spectrum of the quasi one-dimensional system is clearly
reflected in the conductance curves of the GNRs. The results suggest that GNRs
can be used as an spectrograph-sensor device. An even-odd parity effect, as a
function of the length of the attached molecules, can be observed in the
conductance of these system. The nanostructures are described using a
single-band tight binding Hamiltonian and the electronic conductance and the
density of states of the systems are calculated within the Green's function
formalism based on real-space renormalization techniques.
| cond-mat.mes-hall | in this work we address the effects on the conductance of graphene nanoribbons gnrs at which organic molecules are sideattached on the ribbon ends for simplicity only armchair agnrs and zigzag zgnrs nanoribbons are considered and quasi onedimensional molecules such as linear polyaromatic hydrocarbon lphc and polyparaphenylene are chosen the conductance of the gnrs exhibit a particular behavior as a function of the length of the organic molecules the energy spectrum of the quasi onedimensional system is clearly reflected in the conductance curves of the gnrs the results suggest that gnrs can be used as an spectrographsensor device an evenodd parity effect as a function of the length of the attached molecules can be observed in the conductance of these system the nanostructures are described using a singleband tight binding hamiltonian and the electronic conductance and the density of states of the systems are calculated within the greens function formalism based on realspace renormalization techniques | [['in', 'this', 'work', 'we', 'address', 'the', 'effects', 'on', 'the', 'conductance', 'of', 'graphene', 'nanoribbons', 'gnrs', 'at', 'which', 'organic', 'molecules', 'are', 'sideattached', 'on', 'the', 'ribbon', 'ends', 'for', 'simplicity', 'only', 'armchair', 'agnrs', 'and', 'zigzag', 'zgnrs', 'nanoribbons', 'are', 'considered', 'and', 'quasi', 'onedimensional', 'molecules', 'such', 'as', 'linear', 'polyaromatic', 'hydrocarbon', 'lphc', 'and', 'polyparaphenylene', 'are', 'chosen', 'the', 'conductance', 'of', 'the', 'gnrs', 'exhibit', 'a', 'particular', 'behavior', 'as', 'a', 'function', 'of', 'the', 'length', 'of', 'the', 'organic', 'molecules', 'the', 'energy', 'spectrum', 'of', 'the', 'quasi', 'onedimensional', 'system', 'is', 'clearly', 'reflected', 'in', 'the', 'conductance', 'curves', 'of', 'the', 'gnrs', 'the', 'results', 'suggest', 'that', 'gnrs', 'can', 'be', 'used', 'as', 'an', 'spectrographsensor', 'device', 'an', 'evenodd', 'parity', 'effect', 'as', 'a', 'function', 'of', 'the', 'length', 'of', 'the', 'attached', 'molecules', 'can', 'be', 'observed', 'in', 'the', 'conductance', 'of', 'these', 'system', 'the', 'nanostructures', 'are', 'described', 'using', 'a', 'singleband', 'tight', 'binding', 'hamiltonian', 'and', 'the', 'electronic', 'conductance', 'and', 'the', 'density', 'of', 'states', 'of', 'the', 'systems', 'are', 'calculated', 'within', 'the', 'greens', 'function', 'formalism', 'based', 'on', 'realspace', 'renormalization', 'techniques']] | [-0.17904981472255552, 0.12857895042519754, -0.06564200884553001, 0.03402353212042572, 0.048484501902552726, -0.164100820910843, 0.025571815235832452, 0.444263213234984, -0.267708534402225, -0.24821686982085892, -0.013107917307316039, -0.308216555044055, -0.17092608990455108, 0.18658743179677165, 0.04029139031631738, 0.06355006495198491, 0.051786931444665577, -0.04351089464719681, -0.06260761772465034, -0.200229379801944, 0.25131521170070165, 0.03495903927041522, 0.26543206081183907, 0.141592924367466, -0.005135171234096382, 0.007304671724186906, 0.12486633308706623, 0.058385704057382456, -0.14504760965649563, 0.11724321213756304, 0.24365432638814977, -0.12308429751326055, 0.182836409530365, -0.4876549766076351, -0.19754697355058262, -0.004326060336038282, 0.145223449774123, 0.16764977075436513, 0.009889816166072159, -0.28094086568388676, 0.057813697331356724, -0.11401525884258007, -0.10828609125280839, -0.02829575139931799, -0.014407885190878624, 0.06709363418509515, -0.17671608893517282, 0.0914095261596825, 0.022787892618794846, 0.060342023027391216, -0.05592078506471772, -0.17777495612268598, -0.11952341607546592, 0.0815115891050036, 0.012525399442262997, -0.04737765800049589, 0.2296324797869459, -0.11275477012241977, -0.11613024590427384, 0.3987208036158015, -0.0779636719468007, -0.14279023348505981, 0.14016305387561862, -0.11956353889157374, -0.0771871759918415, 0.14804940701468416, 0.09843643487992641, 0.13148082372142014, -0.15360115314803385, 0.09996669952955677, -0.07053584448941466, 0.14768258293632577, 0.0679421954608699, 0.12582579581980027, 0.24442454791487822, 0.17326415400781664, 0.05232801785071691, 0.1529756860261223, -0.10277993392254062, -0.025331621310898875, -0.23383425559629412, -0.2019908726609358, -0.2531899447861779, 0.07062724144715402, -0.030841981013152546, -0.244296154037751, 0.4733233583506708, 0.08953987495377173, 0.21258912453415738, 0.020977158529312635, 0.23423030531776498, 0.17729406879630452, 0.10250691845221749, -0.014772972073771205, 0.1799243165193783, 0.18154004672724827, 0.05364940252369635, -0.29673626030767886, 0.07593741270050017, 0.0082612827365451] |
711.2483 | Decoherence by a spin thermal bath: Role of the spin-spin interactions | We study the decoherence of two coupled spins that interact with a spin-bath
environment. It is shown that the connectivity and the coupling strength
between the spins in the environment are of crucial importance for the
decoherence of the central system. Changing the connectivity or coupling
strenghts changes the decoherence of the central system from Gaussian to
exponential decay law.
| quant-ph | we study the decoherence of two coupled spins that interact with a spinbath environment it is shown that the connectivity and the coupling strength between the spins in the environment are of crucial importance for the decoherence of the central system changing the connectivity or coupling strenghts changes the decoherence of the central system from gaussian to exponential decay law | [['we', 'study', 'the', 'decoherence', 'of', 'two', 'coupled', 'spins', 'that', 'interact', 'with', 'a', 'spinbath', 'environment', 'it', 'is', 'shown', 'that', 'the', 'connectivity', 'and', 'the', 'coupling', 'strength', 'between', 'the', 'spins', 'in', 'the', 'environment', 'are', 'of', 'crucial', 'importance', 'for', 'the', 'decoherence', 'of', 'the', 'central', 'system', 'changing', 'the', 'connectivity', 'or', 'coupling', 'strenghts', 'changes', 'the', 'decoherence', 'of', 'the', 'central', 'system', 'from', 'gaussian', 'to', 'exponential', 'decay', 'law']] | [-0.1946864832949359, 0.2034981856122613, -0.03402306605130434, 0.057029155756269274, 0.040593962635224065, -0.15723275212415805, 0.0161369703283223, 0.3583104424954702, -0.2832891898229718, -0.2690338672604412, 0.05057142051130844, -0.28946603542814653, -0.10640994675535088, 0.14032058665761724, 0.03314237801047663, -0.0056223861717929445, 0.023589169901485244, 0.07716021127222726, -0.004590576778476437, -0.18755443406601746, 0.3389529205077755, 0.06941923920530826, 0.27987949961485964, 0.04848071487310032, 0.05501547635843356, 0.03526887209154665, 0.04845596803352237, -0.012577211732665699, -0.05686017174860657, 0.10615305596256804, 0.16203564070165158, 0.05607998756070932, 0.2669153834072252, -0.4284279176034033, -0.17095704458964367, 0.10424192515007841, 0.13389851745062817, 0.1223802100867033, -0.043082064737488206, -0.3201618934360643, -0.00013036783784627914, -0.18181998260940116, -0.11577023404339949, -0.013972148446676632, 0.04049794711172581, 0.04375887475519751, -0.2807795372258018, 0.09764636329685648, 0.10090221179028352, 0.0004081785911694169, -0.03558345650477956, 0.006060209144682934, -0.02185642986247937, 0.2137159074821587, 0.07461184630713737, 0.017110387154389173, 0.22935148292065907, -0.14273266459349543, -0.068600738964354, 0.32738869469612836, -0.05535894625354558, -0.18416012733553846, 0.2587485844735056, -0.16322120948073765, -0.10977866539033129, 0.08939079966706534, 0.16581774127359192, 0.036923234532029406, -0.17738197698878747, 0.0869786085706437, 0.062271481162558, 0.1978811953216791, -0.006440731642457346, 0.09696927143571278, 0.1982382540901502, 0.18035630695521832, 0.07432070365175605, 0.16078084136048953, -0.05965203087156017, -0.1669317279011011, -0.27891682827224334, -0.11515718013979495, -0.2222924472996965, 0.09804877596907317, -0.13096406537394312, -0.09605522466348096, 0.4120437506586313, 0.18345257098165652, 0.15834604912282277, 0.012016995918626587, 0.2639982755606373, 0.11054651152032118, 0.08690533583673338, 0.04879721284220674, 0.29358630776405337, 0.22249166107115645, 0.05637040322180838, -0.3735458204871975, 0.08922726778934399, -0.037061474099755284] |
711.2484 | Coefficient Quantization for Frames in Banach Spaces | Let $(e_i)$ be a fundamental system of a Banach space.
We consider the problem of approximating linear combinations of elements of
this system by linear combinations using quantized coefficients. We will
concentrate on systems which are possibly redundant. Our model for this
situation will be frames in Banach spaces.
| math.FA math.MG | let e_i be a fundamental system of a banach space we consider the problem of approximating linear combinations of elements of this system by linear combinations using quantized coefficients we will concentrate on systems which are possibly redundant our model for this situation will be frames in banach spaces | [['let', 'e_i', 'be', 'a', 'fundamental', 'system', 'of', 'a', 'banach', 'space', 'we', 'consider', 'the', 'problem', 'of', 'approximating', 'linear', 'combinations', 'of', 'elements', 'of', 'this', 'system', 'by', 'linear', 'combinations', 'using', 'quantized', 'coefficients', 'we', 'will', 'concentrate', 'on', 'systems', 'which', 'are', 'possibly', 'redundant', 'our', 'model', 'for', 'this', 'situation', 'will', 'be', 'frames', 'in', 'banach', 'spaces']] | [-0.18059433935856334, 0.14092126811797523, -0.04717817203122742, -0.006770625278087599, -0.053897139293198684, -0.1269467641618483, 0.006635587795504502, 0.3709443493613175, -0.3705225989830737, -0.16560982656189982, 0.14308128417327012, -0.2664441859957819, -0.15429279923781145, 0.21572833348122633, -0.12795009349985997, 0.03148191245462822, 0.10628907983096278, 0.04384170562903188, -0.12986695374913362, -0.29892666071976476, 0.41445672274472156, -0.007214709527182336, 0.12721476188803815, -0.0813857594847071, 0.13091129536873528, 0.03917973355048013, -0.008760628518553413, 0.042893085347806885, -0.08691543510316738, 0.18476297092215366, 0.320062350381964, 0.10936591944334154, 0.3230325692922485, -0.40168232227466544, -0.21279263837567094, 0.188800907845856, 0.11646733483375639, 0.052809889929616174, 0.021248654621577233, -0.26725710327832064, 0.0754077401135725, -0.14631635900966974, -0.07509915582949714, -0.1203545875923366, 0.019431268948377396, 0.03159313158569287, -0.3501405608745254, 0.014436388540328766, 0.07118703196851575, 0.06506580796700959, -0.10204527014866471, -0.13655967012104786, 0.022911381546636016, 0.07160488445767943, -0.05529226936228877, -0.0008733760261414003, 0.08124289000216796, -0.02043771501440479, -0.10703010203278794, 0.4060317106088813, -0.05773603610162224, -0.32114400908503, 0.12261479477189025, -0.16747413435950875, -0.13468126333033553, 0.044392607155807166, 0.2682085127322649, 0.15481920129790597, -0.12521123720751126, 0.16194723322227292, -0.12462724602724216, 0.14911851931211292, 0.02913780400187385, 0.0939005253722473, 0.24029922740039777, 0.14623577535456542, 0.1062559511284439, 0.1392261723427064, 0.024514398627857467, -0.015070514680998286, -0.3588140588633868, -0.14505061735304034, -0.15094703877800886, 0.04618624238563435, -0.07383310704549052, -0.13772703351795065, 0.36601017384162665, 0.10692394849825271, 0.2097443406831245, 0.06752277731572334, 0.2196568473793414, 0.16090733467895843, 0.0209421173251253, 0.023720049641418214, 0.17783003390234495, 0.1209754847721862, 0.06959494937933525, -0.14209908725959913, 0.0026329111745010832, 0.16017781633275505] |
711.2485 | Sub-natural width of transparency window in 85Rb vapor with D2
transition, | We study 85Rb atomic vapor for electromagnetically induced transparency (EIT)
and obtain sub-natural EIT spectra at optical power higher than saturation
intensity. It is shown that spectral width of transmission and intensity of EIT
signal increases with intensity of optical field, which is one of the desirable
features for slow light and quantum information processing. A details analysis
has been done on such an atomic system.
| physics.atom-ph physics.optics | we study 85rb atomic vapor for electromagnetically induced transparency eit and obtain subnatural eit spectra at optical power higher than saturation intensity it is shown that spectral width of transmission and intensity of eit signal increases with intensity of optical field which is one of the desirable features for slow light and quantum information processing a details analysis has been done on such an atomic system | [['we', 'study', '85rb', 'atomic', 'vapor', 'for', 'electromagnetically', 'induced', 'transparency', 'eit', 'and', 'obtain', 'subnatural', 'eit', 'spectra', 'at', 'optical', 'power', 'higher', 'than', 'saturation', 'intensity', 'it', 'is', 'shown', 'that', 'spectral', 'width', 'of', 'transmission', 'and', 'intensity', 'of', 'eit', 'signal', 'increases', 'with', 'intensity', 'of', 'optical', 'field', 'which', 'is', 'one', 'of', 'the', 'desirable', 'features', 'for', 'slow', 'light', 'and', 'quantum', 'information', 'processing', 'a', 'details', 'analysis', 'has', 'been', 'done', 'on', 'such', 'an', 'atomic', 'system']] | [-0.09760611843508245, 0.16874507471948164, -0.0435704083083141, 0.04022122997522467, -0.010356409475207329, -0.1521339249950622, 0.0032262705005423136, 0.5125980231007843, -0.24561260804308183, -0.2705900054989439, 0.05601285885539696, -0.26789619279743143, -0.10493044638441819, 0.2421522649908156, 0.004043984212771509, 0.09627728545191613, 0.03001368401050003, 0.04532469095394128, 0.01815843538762155, -0.1309653315128702, 0.26697710267917224, 0.09743757295302313, 0.35073323858280975, 0.08822164737450128, 0.11480716672359091, -0.0005605311916125091, 0.014227465564159282, -0.019221846479922533, -0.09062285926318675, 0.09084893241665806, 0.2034196194656419, 0.10727135346369875, 0.22543815925548022, -0.38755764292948175, -0.2730882596083437, 0.08734872265521323, 0.15459870431346423, 0.15096156333509664, -0.05864354826432342, -0.3080291651245771, 0.016111574686047705, -0.05550913182510571, -0.09934624865876907, -0.07899877340109511, 0.01693363303043456, 0.0032244486108290653, -0.2894592697054825, 0.007108777563906077, 0.04278235643340105, 0.17293854716770124, -0.02066878044526234, -0.04534921414663338, 0.011245402338152582, 0.03489232497205111, -0.08409637803296474, -0.01848666309061545, 0.19990217191816279, -0.14085693090843657, -0.049763140914199706, 0.3908861111426218, -0.1599443784227443, -0.013598855584859848, 0.1401190904787544, -0.1741025463755553, -0.02817467620083004, 0.22881475700573486, 0.12861378212939156, 0.044852474429221315, -0.1063491906265192, 0.00827324045839663, -0.024429006586697968, 0.26505709450804826, 0.2031614251759355, 0.2064461554894506, 0.15257450021718713, 0.17742163398669977, 0.08084164657206698, 0.13825573371441074, -0.1533655763751912, -0.018385906421551197, -0.178038427338117, -0.1377030160987157, -0.14733860621257036, 0.08784013937375593, -0.055483437714098145, -0.12415937494678832, 0.41773532796651125, 0.1345158192244443, 0.1913044910073619, -0.10209440430590996, 0.4231395178446264, 0.22545980451854342, 0.061901386474456754, 0.021751057864590126, 0.284611620954379, 0.18772321907013204, 0.1507608436795911, -0.300778042256945, 0.020378212571482767, -0.025430100292644718] |
711.2486 | An annotation based approach to support design communication | The aim of this paper is to propose an approach based on the concept of
annotation for supporting design communication. In this paper, we describe a
co-operative design case study where we analyse some annotation practices,
mainly focused on design minutes recorded during project reviews. We point out
specific requirements concerning annotation needs. Based on these requirements,
we propose an annotation model, inspired from the Speech Act Theory (SAT) to
support communication in a 3D digital environment. We define two types of
annotations in the engineering design context, locutionary and illocutionary
annotations. The annotations we describe in this paper are materialised by a
set of digital artefacts, which have a semantic dimension allowing
express/record elements of technical justifications, traces of contradictory
debates, etc. In this paper, we first clarify the semantic annotation concept,
and we define general properties of annotations in the engineering design
context, and the role of annotations in different design project situations.
After the description of the case study, where we observe and analyse
annotations usage during the design reviews and minute making, the last section
is dedicated to present our approach. We then describe the SAT concept, and
define the concept of annotation acts. We conclude with a description of basic
annotation functionalities that are actually implemented in a software, based
on our approach.
| cs.HC | the aim of this paper is to propose an approach based on the concept of annotation for supporting design communication in this paper we describe a cooperative design case study where we analyse some annotation practices mainly focused on design minutes recorded during project reviews we point out specific requirements concerning annotation needs based on these requirements we propose an annotation model inspired from the speech act theory sat to support communication in a 3d digital environment we define two types of annotations in the engineering design context locutionary and illocutionary annotations the annotations we describe in this paper are materialised by a set of digital artefacts which have a semantic dimension allowing expressrecord elements of technical justifications traces of contradictory debates etc in this paper we first clarify the semantic annotation concept and we define general properties of annotations in the engineering design context and the role of annotations in different design project situations after the description of the case study where we observe and analyse annotations usage during the design reviews and minute making the last section is dedicated to present our approach we then describe the sat concept and define the concept of annotation acts we conclude with a description of basic annotation functionalities that are actually implemented in a software based on our approach | [['the', 'aim', 'of', 'this', 'paper', 'is', 'to', 'propose', 'an', 'approach', 'based', 'on', 'the', 'concept', 'of', 'annotation', 'for', 'supporting', 'design', 'communication', 'in', 'this', 'paper', 'we', 'describe', 'a', 'cooperative', 'design', 'case', 'study', 'where', 'we', 'analyse', 'some', 'annotation', 'practices', 'mainly', 'focused', 'on', 'design', 'minutes', 'recorded', 'during', 'project', 'reviews', 'we', 'point', 'out', 'specific', 'requirements', 'concerning', 'annotation', 'needs', 'based', 'on', 'these', 'requirements', 'we', 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711.2487 | Self-organization and magnetic domain microstructure of Fe nanowire
arrays | Starting from essentially flat nanometer-thick Fe films, epitaxially grown at
room temperature on W(110) surfaces, we used carefully tuned annealing
schedules to produce periodic arrays of nanoscale ferromagnetic wires. The
structural transition from continuous films to nanowire arrays is accompanied
with an in-plane 90 degree rotation of the spontaneous magnetization. Using
spin-polarized low-energy electron microscopy to map the local magnetization
directions while annealing, we studied the role of the dewetting mechanism on
the self-organization and magnetization reorientation processes.
| cond-mat.mtrl-sci | starting from essentially flat nanometerthick fe films epitaxially grown at room temperature on w110 surfaces we used carefully tuned annealing schedules to produce periodic arrays of nanoscale ferromagnetic wires the structural transition from continuous films to nanowire arrays is accompanied with an inplane 90 degree rotation of the spontaneous magnetization using spinpolarized lowenergy electron microscopy to map the local magnetization directions while annealing we studied the role of the dewetting mechanism on the selforganization and magnetization reorientation processes | [['starting', 'from', 'essentially', 'flat', 'nanometerthick', 'fe', 'films', 'epitaxially', 'grown', 'at', 'room', 'temperature', 'on', 'w110', 'surfaces', 'we', 'used', 'carefully', 'tuned', 'annealing', 'schedules', 'to', 'produce', 'periodic', 'arrays', 'of', 'nanoscale', 'ferromagnetic', 'wires', 'the', 'structural', 'transition', 'from', 'continuous', 'films', 'to', 'nanowire', 'arrays', 'is', 'accompanied', 'with', 'an', 'inplane', '90', 'degree', 'rotation', 'of', 'the', 'spontaneous', 'magnetization', 'using', 'spinpolarized', 'lowenergy', 'electron', 'microscopy', 'to', 'map', 'the', 'local', 'magnetization', 'directions', 'while', 'annealing', 'we', 'studied', 'the', 'role', 'of', 'the', 'dewetting', 'mechanism', 'on', 'the', 'selforganization', 'and', 'magnetization', 'reorientation', 'processes']] | [-0.1619381610160837, 0.2497709475128198, -0.0236006908906767, -0.04164829127078589, -0.01406742169115788, -0.17386198535752603, 0.10694889740000527, 0.5234647845515074, -0.3049932739769037, -0.2964369464137305, -0.0066592474348652056, -0.29941551128211313, -0.05647077081868282, 0.22719808622526053, 0.073720030952245, 0.06460876284519401, -0.08312418059899639, -0.16598431242462724, -0.08484277778109409, -0.22207769044997314, 0.21917788432433438, 0.06774253649592328, 0.3995377415170272, 0.0659553593932054, 0.09917154244314401, 0.012072266646636983, 0.20929883084355447, 0.018917283258185938, -0.19238223580536074, 0.012189977088919243, 0.2322840092387289, -0.17284521533367345, 0.10373942465640795, -0.5726064559884179, -0.18995460497666125, -0.012503385563878767, 0.11259756676064661, 0.1614989066371121, -0.10057414975614311, -0.2781767244808949, 0.04242113999162729, 0.015386109438669594, -0.10897527003469758, -0.07887966400728776, -0.08150377138875999, -0.0187124510076291, -0.22134474067327878, 0.052735805472669504, 0.10276114286329502, 0.18594041652977467, -0.09522465001552916, -0.07979030486864921, -0.15796104167850736, -0.0005049666342062828, 0.04609116561746655, 0.08988549323298801, 0.3190146333430536, -0.038256587190493845, -0.14954221481457353, 0.293110681602206, -0.04586947293211825, -0.051498586541782014, 0.14219600250586295, -0.18817895553477754, -0.04224482398384657, 0.23308311940099186, 0.1185304704361046, 0.14662011330111477, -0.1498070016192893, 0.05210351840016814, 0.08354594417585012, 0.24120175901155633, 0.1472705493752773, 0.015742567845453054, 0.27573587248722714, 0.24850999764375722, 0.035078772086984455, 0.16476679432880467, -0.16340138748264274, -0.030301091452248585, -0.15227672104419282, -0.15909322333307221, -0.2327478820255074, 0.13697892604156947, -0.09947863983520969, -0.21614801156549499, 0.3910358063816929, 0.1279835763435142, 0.13588418008368583, -0.07629772172404979, 0.21793081192225097, 0.02387398598381342, 0.05382385136237225, -0.005513108747366529, 0.19511389991758057, 0.21511923688619086, 0.1637910747100623, -0.29419303939152414, 0.12655485628578717, -0.020400970087697107] |
711.2488 | Controllability properties of a class of systems modeling swimming
microscopic organisms | We consider a finite-dimensional model for the motion of microscopic
organisms whose propulsion exploits the action of a layer of cilia covering its
surface. The model couples Newton's laws driving the organism, considered as a
rigid body, with Stokes equations governing the surrounding fluid. The action
of the cilia is described by a set of controlled velocity fields on the surface
of the organism. The first contribution of the paper is the proof that such a
system is generically controllable when the space of controlled velocity fields
is at least three-dimensional. We also provide a complete characterization of
controllable systems in the case in which the organism has a spherical shape.
Finally, we offer a complete picture of controllable and non-controllable
systems under the additional hypothesis that the organism and the fluid have
densities of the same order of magnitude.
| math.OC | we consider a finitedimensional model for the motion of microscopic organisms whose propulsion exploits the action of a layer of cilia covering its surface the model couples newtons laws driving the organism considered as a rigid body with stokes equations governing the surrounding fluid the action of the cilia is described by a set of controlled velocity fields on the surface of the organism the first contribution of the paper is the proof that such a system is generically controllable when the space of controlled velocity fields is at least threedimensional we also provide a complete characterization of controllable systems in the case in which the organism has a spherical shape finally we offer a complete picture of controllable and noncontrollable systems under the additional hypothesis that the organism and the fluid have densities of the same order of magnitude | [['we', 'consider', 'a', 'finitedimensional', 'model', 'for', 'the', 'motion', 'of', 'microscopic', 'organisms', 'whose', 'propulsion', 'exploits', 'the', 'action', 'of', 'a', 'layer', 'of', 'cilia', 'covering', 'its', 'surface', 'the', 'model', 'couples', 'newtons', 'laws', 'driving', 'the', 'organism', 'considered', 'as', 'a', 'rigid', 'body', 'with', 'stokes', 'equations', 'governing', 'the', 'surrounding', 'fluid', 'the', 'action', 'of', 'the', 'cilia', 'is', 'described', 'by', 'a', 'set', 'of', 'controlled', 'velocity', 'fields', 'on', 'the', 'surface', 'of', 'the', 'organism', 'the', 'first', 'contribution', 'of', 'the', 'paper', 'is', 'the', 'proof', 'that', 'such', 'a', 'system', 'is', 'generically', 'controllable', 'when', 'the', 'space', 'of', 'controlled', 'velocity', 'fields', 'is', 'at', 'least', 'threedimensional', 'we', 'also', 'provide', 'a', 'complete', 'characterization', 'of', 'controllable', 'systems', 'in', 'the', 'case', 'in', 'which', 'the', 'organism', 'has', 'a', 'spherical', 'shape', 'finally', 'we', 'offer', 'a', 'complete', 'picture', 'of', 'controllable', 'and', 'noncontrollable', 'systems', 'under', 'the', 'additional', 'hypothesis', 'that', 'the', 'organism', 'and', 'the', 'fluid', 'have', 'densities', 'of', 'the', 'same', 'order', 'of', 'magnitude']] | [-0.170531066068049, 0.1518124144790428, -0.09692341172069843, -0.012680601245457572, -0.04454434269240924, -0.09667343326644706, -0.00025170163550813283, 0.3136534167453647, -0.26649731883912214, -0.26835881918668747, 0.06773009155378011, -0.2186253772782428, -0.1802540694945492, 0.1908795655405681, -0.0627082838165474, 0.015374239227717875, 0.020368100170578274, 0.06158895088945948, 0.0044577884654115356, -0.17918367940832727, 0.31407881131329174, 0.005782802948462112, 0.24017386336178917, 0.003461476289417728, 0.19984696781528846, -0.0355081107949705, 0.012722297368704208, 0.04927255554835678, -0.14013464298883005, 0.1449604862984935, 0.1644568028726748, 0.07831497790591259, 0.24834750544811998, -0.4401127433936511, -0.2316649606251823, 0.08105718482152692, 0.11727449141492668, 0.13913048726805885, -0.025465616145603626, -0.2464687511008898, 0.049566799144460154, -0.161109968105198, -0.19859458467523966, -0.04512838817068509, 0.03814790326702808, 0.03345664281930242, -0.24522194004218492, 0.07537858440752773, 0.11087184281121673, 0.1077827417624316, -0.13019400468911044, -0.03444433531008794, -0.06970390704227611, 0.14070612707645133, 0.03239870743210693, 0.017868119744317873, 0.1816157480502235, -0.17441769435203502, -0.0740573325992695, 0.43803052306175233, -0.049007582585909405, -0.25411922986220037, 0.2100249516378556, -0.14926182191619383, -0.061583305835457784, 0.12810033570276574, 0.2015949884429574, 0.11753205273832594, -0.1597657260739652, 0.10320185743980151, -0.07742996279017202, 0.15274088884969908, 0.0474896509932088, -0.00982266588336123, 0.21465319548317763, 0.2195510261741999, 0.09750691163187314, 0.1346196929591575, -0.06627181430646617, -0.083657697930799, -0.3328394849718149, -0.1874272148723581, -0.1856569495725645, 0.046048010918977006, -0.08372613000330083, -0.17306431065413302, 0.421936733671464, 0.09618954087075378, 0.1585870837327093, 0.05350343755729097, 0.2938848727249673, 0.09201646904704311, 0.05589581562838118, 0.04491910405590066, 0.23658133640087076, 0.11718243915487879, 0.0661535208013707, -0.2490058603014664, 0.06711114507966807, 0.06807193527929485] |
711.2489 | Axiomatic structure of k-additive capacities | In this paper we deal with the problem of axiomatizing the preference
relations modelled through Choquet integral with respect to a $k$-additive
capacity, i.e. whose M\"obius transform vanishes for subsets of more than $k$
elements. Thus, $k$-additive capacities range from probability measures ($k=1$)
to general capacities ($k=n$). The axiomatization is done in several steps,
starting from symmetric 2-additive capacities, a case related to the Gini
index, and finishing with general $k$-additive capacities. We put an emphasis
on 2-additive capacities. Our axiomatization is done in the framework of social
welfare, and complete previous results of Weymark, Gilboa and Ben Porath, and
Gajdos.
| cs.DM | in this paper we deal with the problem of axiomatizing the preference relations modelled through choquet integral with respect to a kadditive capacity ie whose mobius transform vanishes for subsets of more than k elements thus kadditive capacities range from probability measures k1 to general capacities kn the axiomatization is done in several steps starting from symmetric 2additive capacities a case related to the gini index and finishing with general kadditive capacities we put an emphasis on 2additive capacities our axiomatization is done in the framework of social welfare and complete previous results of weymark gilboa and ben porath and gajdos | [['in', 'this', 'paper', 'we', 'deal', 'with', 'the', 'problem', 'of', 'axiomatizing', 'the', 'preference', 'relations', 'modelled', 'through', 'choquet', 'integral', 'with', 'respect', 'to', 'a', 'kadditive', 'capacity', 'ie', 'whose', 'mobius', 'transform', 'vanishes', 'for', 'subsets', 'of', 'more', 'than', 'k', 'elements', 'thus', 'kadditive', 'capacities', 'range', 'from', 'probability', 'measures', 'k1', 'to', 'general', 'capacities', 'kn', 'the', 'axiomatization', 'is', 'done', 'in', 'several', 'steps', 'starting', 'from', 'symmetric', '2additive', 'capacities', 'a', 'case', 'related', 'to', 'the', 'gini', 'index', 'and', 'finishing', 'with', 'general', 'kadditive', 'capacities', 'we', 'put', 'an', 'emphasis', 'on', '2additive', 'capacities', 'our', 'axiomatization', 'is', 'done', 'in', 'the', 'framework', 'of', 'social', 'welfare', 'and', 'complete', 'previous', 'results', 'of', 'weymark', 'gilboa', 'and', 'ben', 'porath', 'and', 'gajdos']] | [-0.11015666754719484, 0.053111141402491596, -0.06703595286619264, 0.05981001519650874, -0.09949195390740007, -0.16902362748250827, 0.13846256297571374, 0.39447707490822703, -0.2629414851364401, -0.23717562350523705, 0.07188665974505976, -0.31603560209773557, -0.10681994472865552, 0.1832530986944924, -0.14643134269743352, 0.04563000447779279, 0.006662508561611944, 0.1147534875961299, -0.06279599756847337, -0.2729762880438843, 0.3440246585007642, 0.03796417787479064, 0.23441275633084252, 0.07697050522091155, 0.0425389354674088, 0.028944025291417985, -0.06426982596737438, 0.07547454960337005, -0.1699304024115224, 0.16414670319627664, 0.29387453075536746, 0.1535450101196382, 0.27630034657003183, -0.39715401501366004, -0.1899461414780199, 0.1332845613360405, 0.03943882802424511, -0.012143510840257112, 0.004627240206488197, -0.2707552833977088, 0.04633727887664566, -0.18018772077420248, -0.10400888663968648, -0.02594678698722081, 0.04868822016743655, 0.005390254931870042, -0.28463753934027913, 0.003551318096273012, 0.0913158849592215, 0.10157906340876806, -0.06426872005302113, -0.17087253096475044, 0.012490312955294227, 0.1177541840984726, 0.014703289754496715, 0.021115723416478056, 0.03637159266269084, -0.10254831377599273, -0.14561437612841116, 0.3970137280364012, -0.04251254525485079, -0.23723129700562082, 0.12319981564585235, -0.14300517997099566, -0.16096481629023232, 0.10250187254289991, 0.14066758252603492, 0.15735063482959247, -0.12540097669794312, 0.1048525186740438, -0.06935485961280533, 0.10025292122856588, 0.12302917338062808, 0.04062355294962865, 0.12848159741879123, 0.10938126914510407, 0.0994998300592079, 0.18882914315957153, 0.05158154017618406, -0.14899957686729884, -0.2661267413959368, -0.16927149840006508, -0.19283476763299293, 0.07327112289038774, -0.10390088665383129, -0.09936933115739183, 0.32230492504601627, 0.08656383837698046, 0.14970328658819199, 0.17979988182136386, 0.25822685081895785, 0.10853248848651834, 0.017124815858401282, 0.09619119760013886, 0.10018242556918605, 0.16536870127370984, 0.08731706448129772, -0.13466007208221198, 0.06781867155133142, 0.07857430283671495] |
711.249 | The M\"obius transform on symmetric ordered structures and its
application to capacities on finite sets | Considering a linearly ordered set, we introduce its symmetric version, and
endow it with two operations extending supremum and infimum, so as to obtain an
algebraic structure close to a commutative ring. We show that imposing symmetry
necessarily entails non associativity, hence computing rules are defined in
order to deal with non associativity. We study in details computing rules,
which we endow with a partial order. This permits to find solutions to the
inversion formula underlying the M\"obius transform. Then we apply these
results to the case of capacities, a notion from decision theory which
corresponds, in the language of ordered sets, to order preserving mappings,
preserving also top and bottom. In this case, the solution of the inversion
formula is called the M\"obius transform of the capacity. Properties and
examples of M\"obius transform of sup-preserving and inf-preserving capacities
are given.
| cs.DM | considering a linearly ordered set we introduce its symmetric version and endow it with two operations extending supremum and infimum so as to obtain an algebraic structure close to a commutative ring we show that imposing symmetry necessarily entails non associativity hence computing rules are defined in order to deal with non associativity we study in details computing rules which we endow with a partial order this permits to find solutions to the inversion formula underlying the mobius transform then we apply these results to the case of capacities a notion from decision theory which corresponds in the language of ordered sets to order preserving mappings preserving also top and bottom in this case the solution of the inversion formula is called the mobius transform of the capacity properties and examples of mobius transform of suppreserving and infpreserving capacities are given | [['considering', 'a', 'linearly', 'ordered', 'set', 'we', 'introduce', 'its', 'symmetric', 'version', 'and', 'endow', 'it', 'with', 'two', 'operations', 'extending', 'supremum', 'and', 'infimum', 'so', 'as', 'to', 'obtain', 'an', 'algebraic', 'structure', 'close', 'to', 'a', 'commutative', 'ring', 'we', 'show', 'that', 'imposing', 'symmetry', 'necessarily', 'entails', 'non', 'associativity', 'hence', 'computing', 'rules', 'are', 'defined', 'in', 'order', 'to', 'deal', 'with', 'non', 'associativity', 'we', 'study', 'in', 'details', 'computing', 'rules', 'which', 'we', 'endow', 'with', 'a', 'partial', 'order', 'this', 'permits', 'to', 'find', 'solutions', 'to', 'the', 'inversion', 'formula', 'underlying', 'the', 'mobius', 'transform', 'then', 'we', 'apply', 'these', 'results', 'to', 'the', 'case', 'of', 'capacities', 'a', 'notion', 'from', 'decision', 'theory', 'which', 'corresponds', 'in', 'the', 'language', 'of', 'ordered', 'sets', 'to', 'order', 'preserving', 'mappings', 'preserving', 'also', 'top', 'and', 'bottom', 'in', 'this', 'case', 'the', 'solution', 'of', 'the', 'inversion', 'formula', 'is', 'called', 'the', 'mobius', 'transform', 'of', 'the', 'capacity', 'properties', 'and', 'examples', 'of', 'mobius', 'transform', 'of', 'suppreserving', 'and', 'infpreserving', 'capacities', 'are', 'given']] | [-0.14085874948382593, 0.0762775218870747, -0.07650789921339467, 0.07421538095314913, -0.12275597103033885, -0.11201927605002998, 0.07553901131643424, 0.3716392282986169, -0.34487953465833937, -0.23015256858893113, 0.1346156207355503, -0.2757124995323662, -0.15512188630037868, 0.13666923054688268, -0.09557765920599587, 0.04090120859080658, -0.0024706332227416175, 0.06746345853580417, -0.13553692704475345, -0.22755116268845021, 0.34908334737000385, -0.015773781209266174, 0.2602134631936633, 0.05888722870137087, 0.08295077464724188, 0.011545880593815082, -0.02983896745362138, 0.026455545399284405, -0.1292576026257815, 0.1397464129263066, 0.23306128020539021, 0.10317971864916223, 0.20163167301371104, -0.4100340318819173, -0.10266073801883048, 0.1216618085042205, 0.07922716554013087, 0.06349705596179735, -0.008765781659251012, -0.25477412908183905, 0.1347612435996479, -0.17230869242720467, -0.14461517746211866, -0.13729447663741576, -0.011520245681992537, -0.0045338557941727396, -0.28920340920394794, -0.008025235374392807, 0.12079206970687821, 0.04657637009149243, -0.06909364845064342, -0.05258785261146108, -0.029262136450211564, 0.0925410371474761, 0.022202876146896172, 0.005326756057806863, 0.06881723719190055, -0.08099103037924539, -0.12534595169663001, 0.39783890540008066, -0.026649886024479333, -0.27892000588132804, 0.1503198395781353, -0.1498858751863134, -0.15119514511496152, 0.0942422169890496, 0.12607956127926923, 0.12846360824291977, -0.10970598992953585, 0.15713672430159042, -0.06791350204604778, 0.12715151256348992, 0.10644780969073017, 0.06220839507274812, 0.1475835278724059, 0.09518350880733766, 0.10693864039963667, 0.24085747126134768, -0.0008130010431833404, -0.139141826642503, -0.31783493899023363, -0.1798299851143907, -0.14382544791547033, 0.07648716041510054, -0.04716124805664097, -0.2049183359293421, 0.3752356511038199, 0.11932072444088596, 0.19481462984314027, 0.124829210352702, 0.25966366844774363, 0.15344237447592762, 0.10331489522974911, 0.07119649163113988, 0.1042798575057427, 0.19160527846501244, 0.054356066550282266, -0.16363504393153536, 0.0120604897735359, 0.1398677969110205] |
711.2491 | Labyrinthine Island Growth during Pd/Ru(0001) Heteroepitaxy | Using low energy electron microscopy we observe that Pd deposited on Ru only
attaches to small sections of the atomic step edges surrounding Pd islands.
This causes a novel epitaxial growth mode in which islands advance in a
snakelike motion, giving rise to labyrinthine patterns. Based on density
functional theory together with scanning tunneling microscopy and low energy
electron microscopy we propose that this growth mode is caused by a surface
alloy forming around growing islands. This alloy gradually reduces step
attachment rates, resulting in an instability that favors adatom attachment at
fast advancing step sections.
| cond-mat.mtrl-sci | using low energy electron microscopy we observe that pd deposited on ru only attaches to small sections of the atomic step edges surrounding pd islands this causes a novel epitaxial growth mode in which islands advance in a snakelike motion giving rise to labyrinthine patterns based on density functional theory together with scanning tunneling microscopy and low energy electron microscopy we propose that this growth mode is caused by a surface alloy forming around growing islands this alloy gradually reduces step attachment rates resulting in an instability that favors adatom attachment at fast advancing step sections | [['using', 'low', 'energy', 'electron', 'microscopy', 'we', 'observe', 'that', 'pd', 'deposited', 'on', 'ru', 'only', 'attaches', 'to', 'small', 'sections', 'of', 'the', 'atomic', 'step', 'edges', 'surrounding', 'pd', 'islands', 'this', 'causes', 'a', 'novel', 'epitaxial', 'growth', 'mode', 'in', 'which', 'islands', 'advance', 'in', 'a', 'snakelike', 'motion', 'giving', 'rise', 'to', 'labyrinthine', 'patterns', 'based', 'on', 'density', 'functional', 'theory', 'together', 'with', 'scanning', 'tunneling', 'microscopy', 'and', 'low', 'energy', 'electron', 'microscopy', 'we', 'propose', 'that', 'this', 'growth', 'mode', 'is', 'caused', 'by', 'a', 'surface', 'alloy', 'forming', 'around', 'growing', 'islands', 'this', 'alloy', 'gradually', 'reduces', 'step', 'attachment', 'rates', 'resulting', 'in', 'an', 'instability', 'that', 'favors', 'adatom', 'attachment', 'at', 'fast', 'advancing', 'step', 'sections']] | [-0.11980765894016561, 0.20262179073218553, -0.07185906544812799, 0.004959162475036767, -0.0012802653229944856, -0.15266444656541958, 0.09148250647255433, 0.38204763946335635, -0.28245798171459074, -0.29744019054730114, -0.04379470531785046, -0.3296435881153836, -0.15250932012228682, 0.14525561911674836, -0.01979782551158375, -0.017607475359303255, 0.027728551969630644, -0.1032394940557424, -0.02345854956123124, -0.20463447453221306, 0.28206178979113855, 0.14289760956307873, 0.3708727370443133, 0.07669723698927555, 0.09346623867168091, 0.06561631700969883, 0.08873356989837096, 0.04155861745433261, -0.20101342945774073, 0.10706575814159199, 0.23532598332531052, -0.07415627810405567, 0.2670540393155534, -0.5961661962986303, -0.1907260897763384, -0.06232745020194367, 0.1871468766791319, 0.1554174379404382, -0.1605129819957559, -0.2156854155837209, 0.060535087453899905, -0.1080260706506427, -0.12632881806833515, -0.03759212343235655, 0.012784647532195473, 0.0033260529611046272, -0.23173499646266768, 0.10453123469293739, 0.03308810262630383, 0.08067907034031425, -0.10571818543636861, -0.015941460498045974, -0.10682251283530302, 0.034572440141346306, 0.03983562228434797, 0.08227537030810102, 0.25000340545375366, -0.06985531163203025, -0.09190285417328899, 0.2847344283266769, -0.04264809764572419, -0.1086879162855136, 0.1914679018300376, -0.21388945327392625, -0.07894113034126349, 0.2276052481805285, 0.1561836871454337, 0.11873894593251559, -0.09938269938963155, 0.04007617312890943, 0.07357393291628493, 0.21585551463310063, 0.17763987469273465, -0.002478376055175128, 0.21458598604658619, 0.265932547270495, 0.10668492663050226, 0.09520570867850135, -0.19249555663069864, -0.04079466104061188, -0.1744505250341414, -0.18364240603356544, -0.16416183973766843, 0.04719990154505164, -0.04294941067428226, -0.21426385552816404, 0.3567362876201514, 0.0611402823390866, 0.26313407363098423, -0.06399459613870324, 0.2536097904279207, 0.10847811014051938, 0.10864644827415759, -0.014875698320489997, 0.16717946719533452, 0.12457663447761054, 0.12969767865433823, -0.24731695155302683, 0.13268998680238533, 0.055265220427827444] |
711.2492 | Heavy Baryons in a Quark Model | A quark model is applied to the spectrum of baryons containing heavy quarks.
The model gives masses for the known heavy baryons that are in agreement with
experiment, but for the doubly-charmed baryon Cascade_{cc}, the model
prediction is too heavy. Mixing between the Cascade_Q and Cascade_Q^\prime
states is examined and is found to be small for the lowest lying states. In
contrast with this, mixing between the Cascade_{bc} and Cascade_{bc}^\prime
states is found to be large, and the implication of this mixing for properties
of these states is briefly discussed. We also examine heavy-quark spin-symmetry
multiplets, and find that many states in the model can be placed in such
multiplets. We compare our predictions with those of a number of other authors.
| nucl-th hep-ex hep-ph | a quark model is applied to the spectrum of baryons containing heavy quarks the model gives masses for the known heavy baryons that are in agreement with experiment but for the doublycharmed baryon cascade_cc the model prediction is too heavy mixing between the cascade_q and cascade_qprime states is examined and is found to be small for the lowest lying states in contrast with this mixing between the cascade_bc and cascade_bcprime states is found to be large and the implication of this mixing for properties of these states is briefly discussed we also examine heavyquark spinsymmetry multiplets and find that many states in the model can be placed in such multiplets we compare our predictions with those of a number of other authors | [['a', 'quark', 'model', 'is', 'applied', 'to', 'the', 'spectrum', 'of', 'baryons', 'containing', 'heavy', 'quarks', 'the', 'model', 'gives', 'masses', 'for', 'the', 'known', 'heavy', 'baryons', 'that', 'are', 'in', 'agreement', 'with', 'experiment', 'but', 'for', 'the', 'doublycharmed', 'baryon', 'cascade_cc', 'the', 'model', 'prediction', 'is', 'too', 'heavy', 'mixing', 'between', 'the', 'cascade_q', 'and', 'cascade_qprime', 'states', 'is', 'examined', 'and', 'is', 'found', 'to', 'be', 'small', 'for', 'the', 'lowest', 'lying', 'states', 'in', 'contrast', 'with', 'this', 'mixing', 'between', 'the', 'cascade_bc', 'and', 'cascade_bcprime', 'states', 'is', 'found', 'to', 'be', 'large', 'and', 'the', 'implication', 'of', 'this', 'mixing', 'for', 'properties', 'of', 'these', 'states', 'is', 'briefly', 'discussed', 'we', 'also', 'examine', 'heavyquark', 'spinsymmetry', 'multiplets', 'and', 'find', 'that', 'many', 'states', 'in', 'the', 'model', 'can', 'be', 'placed', 'in', 'such', 'multiplets', 'we', 'compare', 'our', 'predictions', 'with', 'those', 'of', 'a', 'number', 'of', 'other', 'authors']] | [-0.0728935066702115, 0.24535975602065396, -0.05935266377746613, 0.11907662981006707, 0.002955528404006464, -0.11189972015463898, 0.03511516967565458, 0.34722949671121234, -0.19330061161811027, -0.3156712025276616, 0.05024609559128045, -0.328192824155538, -0.04637799171221434, 0.12957951166213322, 0.01649534339722023, 0.0191558554657122, 0.052929007806457005, 0.058228024508422, -0.042760423842308104, -0.2133613470623381, 0.32544678430526686, -0.003054234700707289, 0.22194264450261736, 0.11359021944365998, 0.013860827200433128, -0.06392722458252285, 0.009294896710934674, -0.0069900192718347935, -0.058887676678774044, 0.09927723563473242, 0.20975136146910536, 0.06369816850966369, 0.14734790152591518, -0.3876647417807681, -0.18378250766346532, 0.11815553611148404, 0.13810171709300426, 0.18430090671341515, -0.07827211218352756, -0.27016547217996967, 0.11095944167966516, -0.1750553681089296, -0.15631206565273878, -0.10519543230438079, 0.01589444611603633, -0.006086336504508797, -0.3047739522388348, 0.10572049329549862, -0.03177787555763737, -0.0075711507119365735, -0.04296643152120563, -0.18676818964175051, -0.08539410145419976, 0.09635889382921478, 0.11691601749541414, 0.021770553587752785, 0.05120944073344143, -0.16468896825089413, -0.10178747290793137, 0.4421482530191668, -0.07026944618321891, -0.19405674453203878, 0.20229145938642004, -0.1610881341069053, -0.1419140817478108, 0.034029822553802505, 0.1629027983125968, 0.10250406017781705, -0.12449078566721107, 0.07470440752077927, -0.09054113718537757, 0.168546452298442, 0.02941760827954381, 0.07026047874822901, 0.2225943331917127, 0.19348191573388046, -0.016256844704974696, 0.1052714868893441, -0.07016345891608004, -0.10271625539972487, -0.3265422024947201, -0.1376491110994775, -0.1360912325226853, -0.009672702751799017, -0.022258583503416102, -0.10904464229909527, 0.41798521218518925, 0.14430848536933336, 0.2743302447737282, 0.02500749623371113, 0.2531395298667634, 0.10847517119374317, 0.08410713968909958, 0.09157098259808671, 0.31953943957391584, 0.18699905096402025, 0.054597584602351375, -0.23056292100053313, 0.03387582005184685, 0.016222499770661578] |
711.2493 | Effect of surface nanostructure on temperature programmed reaction
spectroscopy: First-principles kinetic Monte Carlo simulations of CO
oxidation at RuO2(110) | Using the catalytic CO oxidation at RuO2(110) as a showcase, we employ
first-principles kinetic Monte Carlo simulations to illustrate the intricate
effects on temperature programmed reaction spectroscopy data brought about by
the mere correlations between the locations of the active sites at a
nanostructured surface. Even in the absence of lateral interactions, this
nanostructure alone can cause inhomogeneities that cannot be grasped by
prevalent mean-field data analysis procedures, which thus lead to wrong
conclusions on the reactivity of the different surface species.
| cond-mat.mtrl-sci | using the catalytic co oxidation at ruo2110 as a showcase we employ firstprinciples kinetic monte carlo simulations to illustrate the intricate effects on temperature programmed reaction spectroscopy data brought about by the mere correlations between the locations of the active sites at a nanostructured surface even in the absence of lateral interactions this nanostructure alone can cause inhomogeneities that cannot be grasped by prevalent meanfield data analysis procedures which thus lead to wrong conclusions on the reactivity of the different surface species | [['using', 'the', 'catalytic', 'co', 'oxidation', 'at', 'ruo2110', 'as', 'a', 'showcase', 'we', 'employ', 'firstprinciples', 'kinetic', 'monte', 'carlo', 'simulations', 'to', 'illustrate', 'the', 'intricate', 'effects', 'on', 'temperature', 'programmed', 'reaction', 'spectroscopy', 'data', 'brought', 'about', 'by', 'the', 'mere', 'correlations', 'between', 'the', 'locations', 'of', 'the', 'active', 'sites', 'at', 'a', 'nanostructured', 'surface', 'even', 'in', 'the', 'absence', 'of', 'lateral', 'interactions', 'this', 'nanostructure', 'alone', 'can', 'cause', 'inhomogeneities', 'that', 'can', 'not', 'be', 'grasped', 'by', 'prevalent', 'meanfield', 'data', 'analysis', 'procedures', 'which', 'thus', 'lead', 'to', 'wrong', 'conclusions', 'on', 'the', 'reactivity', 'of', 'the', 'different', 'surface', 'species']] | [-0.06415644574472792, 0.14050979284479856, -0.08647485368664892, 0.08348395641057202, -0.012842269664832267, -0.12149039570646114, 0.11601129352081432, 0.38590044200038875, -0.2638189097787871, -0.3562709603638175, 0.03791675930253668, -0.28691757786794597, -0.12545231420053057, 0.16147882098623786, 0.020768730135365242, -0.034234608304742946, 0.07890296310287373, -0.07788839843685189, -0.0714972701212265, -0.21378724150224981, 0.28191778570952186, 0.1312636737375105, 0.27083438951297695, 0.1254353492733944, 0.049271603925602446, -0.021324935890958612, 0.034544296882463146, 0.02687267329633595, -0.1331852126957923, 0.07914516041514671, 0.2602721037517066, 0.011680999602449227, 0.2424411164731326, -0.5563739616289196, -0.2709546547203538, 0.05093541975323874, 0.15471207475042845, 0.17356988945162394, -0.0735000250047544, -0.2821846677464467, 0.020312405412971794, -0.10288574545032693, -0.13853970255298786, -0.09008174436166883, -0.050160400131829534, 0.027889803345090742, -0.22335999015948724, 0.09126296345458691, 0.015279323238520378, 0.13354656559763006, -0.04090618655220213, -0.1247977567163397, -0.13087082171184292, 0.10751942453165371, 0.03253088168749384, -0.010172529419230476, 0.24428977127220616, -0.07075367863177805, -0.09903867592676038, 0.347532957567867, -0.04385927022737732, -0.16991697925041957, 0.23896373975573174, -0.1406977360686624, -0.11595892483166542, 0.19094557956938285, 0.16709884427802033, 0.10830560275521803, -0.19039013099867896, 0.008119643674265728, 0.05197329505687546, 0.174438643033605, 0.048455857469823706, -0.03226079762470067, 0.23588578627411141, 0.18552445419446892, -0.011451496389212019, 0.09773338012991989, -0.1356294226316533, -0.0824623572729887, -0.22538587747209043, -0.12848138392914132, -0.19660330457186484, 0.0709672473773924, -0.10617395638521895, -0.12469344081761069, 0.3251057483300746, 0.19027446922411334, 0.15424585070584462, -0.04787000586104815, 0.27611318851136657, 0.041488543476808415, 0.09784651445561504, -0.017955488530941397, 0.23982199531676898, 0.11025772107406015, 0.0861555788250842, -0.3056226137756224, 0.17584076073548072, 0.0009626945963196726] |
711.2494 | Polar Kerr Effect Measurements of YBa2Cu3O6+x: Evidence for Broken
Symmetry Near the Pseudogap Temperature | Polar Kerr effect in the high-Tc superconductor \YBCO was measured at zero
magnetic field with high precision using a cyogenic Sagnac fiber
interferometer. We observed non-zero Kerr rotations of order $\sim 1 \mu$rad
appearing near the pseudogap temperature $T^*$, and marking what appears to be
a true phase transition. Anomalous magnetic behavior in magnetic-field training
of the effect suggests that time reversal symmetry is already broken above room
temperature.
| cond-mat.supr-con | polar kerr effect in the hightc superconductor ybco was measured at zero magnetic field with high precision using a cyogenic sagnac fiber interferometer we observed nonzero kerr rotations of order sim 1 murad appearing near the pseudogap temperature t and marking what appears to be a true phase transition anomalous magnetic behavior in magneticfield training of the effect suggests that time reversal symmetry is already broken above room temperature | [['polar', 'kerr', 'effect', 'in', 'the', 'hightc', 'superconductor', 'ybco', 'was', 'measured', 'at', 'zero', 'magnetic', 'field', 'with', 'high', 'precision', 'using', 'a', 'cyogenic', 'sagnac', 'fiber', 'interferometer', 'we', 'observed', 'nonzero', 'kerr', 'rotations', 'of', 'order', 'sim', '1', 'murad', 'appearing', 'near', 'the', 'pseudogap', 'temperature', 't', 'and', 'marking', 'what', 'appears', 'to', 'be', 'a', 'true', 'phase', 'transition', 'anomalous', 'magnetic', 'behavior', 'in', 'magneticfield', 'training', 'of', 'the', 'effect', 'suggests', 'that', 'time', 'reversal', 'symmetry', 'is', 'already', 'broken', 'above', 'room', 'temperature']] | [-0.2378240012399414, 0.30079781032948044, -0.04127622384797124, 0.029570602409555304, -0.09836292655809838, -0.1825357938034679, 0.07098747567985864, 0.41254386341418414, -0.21013464477351484, -0.3048054801081033, 0.02757883122916717, -0.2930023795651162, -0.0591291472356876, 0.16085996200768826, -0.005526548073462704, 0.035709185238160635, -0.13335232836577823, 0.036768523168147486, -0.1586784416679567, -0.204808792208924, 0.2436987550326568, 0.056685067896443585, 0.3318667997715666, 0.026403780102127176, 0.08408317097757176, -0.08877688099164516, 0.16674334933871732, 0.03807814896572381, -0.1405062528079083, -0.10449239000102833, 0.2591325829853304, -0.10319912741322375, 0.14778369638610028, -0.35411325957187834, -0.19873351713656173, 0.05380763857529553, 0.1191154242876698, 0.15961058054338484, -0.0667255084057722, -0.30298867541783053, 0.032880469480433556, -0.10165245540659218, -0.18727867092649617, -0.05962359965098371, 0.004638511401614831, -0.11263810195069869, -0.23922212339718552, 0.12075218429569812, 0.07664712912211304, 0.17204690473291145, -0.03568461468881544, -0.07222981844782173, -0.05000078148098991, 0.01257512133623309, 0.07628607693443294, 0.14406159746474312, 0.1706286017827498, -0.08706538611338199, -0.09167853128575884, 0.324348586570362, -0.11655762808924705, 0.02143150137956528, 0.05752838297527941, -0.33656653083915655, -0.05006611656555084, 0.20265199008452542, 0.09654096208567567, 0.08822324358419899, -0.08270979453022044, 0.0460623394456514, 0.029521161320564503, 0.1918155412080095, 0.15258485399467378, 0.07868012015516047, 0.2710610317367622, 0.20118286042741282, 0.018868197947192716, 0.1314170931102982, -0.1868801714564838, 0.0032464266919037875, -0.2828288944917457, -0.1276396469295244, -0.21636888519381448, 0.08487452920320827, -0.09814875801962711, -0.13919597066363648, 0.3258432725937489, 0.17242757869226968, 0.2108601802302634, -0.08205292082514942, 0.2689065958496512, 0.10952887879958485, 0.12816323920303738, 0.05675135628895506, 0.29947197946774606, 0.1774118460170404, 0.18846643403829896, -0.33180633031845314, 0.08253384275389287, 0.00846078893279328] |
711.2495 | Weak homogeneity in generalized function algebras | In this paper, weakly homogeneous generalized functions in the special
Colombeau algebras are determined up to equality in the sense of generalized
distributions. This yields characterizations that are formally similar to
distribution theory. Further, we give several characterizations of equality in
the sense of generalized distributions in these algebras.
| math.FA | in this paper weakly homogeneous generalized functions in the special colombeau algebras are determined up to equality in the sense of generalized distributions this yields characterizations that are formally similar to distribution theory further we give several characterizations of equality in the sense of generalized distributions in these algebras | [['in', 'this', 'paper', 'weakly', 'homogeneous', 'generalized', 'functions', 'in', 'the', 'special', 'colombeau', 'algebras', 'are', 'determined', 'up', 'to', 'equality', 'in', 'the', 'sense', 'of', 'generalized', 'distributions', 'this', 'yields', 'characterizations', 'that', 'are', 'formally', 'similar', 'to', 'distribution', 'theory', 'further', 'we', 'give', 'several', 'characterizations', 'of', 'equality', 'in', 'the', 'sense', 'of', 'generalized', 'distributions', 'in', 'these', 'algebras']] | [-0.09326724239568017, 0.10180780690695558, -0.10792773283485856, 0.12894317680228579, -0.05440862203130917, -0.09169852720307452, -0.053626526042590945, 0.3690215928898174, -0.3574718347921663, -0.23032278772823664, 0.030908982599705304, -0.25822844320661104, -0.16072947224031905, 0.17474878853072925, -0.1423333433589765, 0.02217772462386258, 0.028466178769511834, 0.052506356889724125, -0.1734135771616913, -0.31093901502234594, 0.4038498374367399, -0.0036457512903084258, 0.2746618184812215, 0.03768008641366448, 0.0399696088338993, 0.03461242441506106, -0.020489885766363264, 0.04011754927282431, -0.23366424409575803, 0.154548435538475, 0.3004282853585117, 0.1256509530833181, 0.22966667141157146, -0.354845275722292, -0.13742860681282318, 0.13926851308467436, 0.159975996649615, 0.012154759421032302, 0.00016097224326994347, -0.21781351360283335, 0.1010625329990016, -0.19067632802286927, -0.1566867571685235, -0.11171517105849117, -0.003148941465710499, 0.08994174307706404, -0.23346642910369805, 0.10210820129711409, 0.14312160201370716, 0.06364353329931595, -0.11650821185499734, -0.09692731182261997, 0.02550338809283412, 0.046595098640845746, -0.027899376135699604, -0.05526326048396984, 0.0074296560689654885, -0.08150505535874744, -0.10572564431314109, 0.3222392546393129, -0.0417060314164478, -0.30287118893941123, 0.14148447489632027, -0.22135084297279922, -0.23111106118909558, 0.03428897376846978, 0.11895215100779825, 0.1727856361896408, -0.1884276952442466, 0.12044615140754958, -0.12455668923806171, -0.0040593110785192375, 0.1312549195195339, 0.08091820901906004, 0.10688480947698865, 0.04235505816355652, 0.05898676358391436, 0.19778945076526427, 0.0875846090517482, -0.13025887909212283, -0.38400009525369627, -0.153146734385162, -0.08633177170567975, 0.0628351646057349, -0.08720305324437058, -0.19910676176754796, 0.37785404582260823, 0.13691003815442018, 0.16892794383765788, 0.12567567621946943, 0.17106783907024228, 0.14676875062286854, 0.044992207720571636, 0.036274790117631156, 0.21123806584854515, 0.262083432732188, 0.04022229335517907, -0.052553046494722366, 0.037079352153731246, 0.10605864893949153] |
711.2496 | The two flavour Schwinger model: scaling of the scalar condensate | We investigate the continuum limit scaling of the scalar condensate in the
$N_f=2$ Schwinger model on the lattice. We employ maximally twisted mass Wilson
fermions and overlap fermions. We compute the scalar condensate by taking the
trace of the propagator (direct method) and by utilizing the integrated
Ward-Takahashi identity. While the scalar condensate comes out consistent using
these two methods for a given kind of lattice fermions, we find --quite
surprisingly-- large discrepancies for the scalar condensate between twisted
mass and overlap fermions. These discrepancies are only resolved when using the
point split current for twisted mass fermions.
| hep-lat | we investigate the continuum limit scaling of the scalar condensate in the n_f2 schwinger model on the lattice we employ maximally twisted mass wilson fermions and overlap fermions we compute the scalar condensate by taking the trace of the propagator direct method and by utilizing the integrated wardtakahashi identity while the scalar condensate comes out consistent using these two methods for a given kind of lattice fermions we find quite surprisingly large discrepancies for the scalar condensate between twisted mass and overlap fermions these discrepancies are only resolved when using the point split current for twisted mass fermions | [['we', 'investigate', 'the', 'continuum', 'limit', 'scaling', 'of', 'the', 'scalar', 'condensate', 'in', 'the', 'n_f2', 'schwinger', 'model', 'on', 'the', 'lattice', 'we', 'employ', 'maximally', 'twisted', 'mass', 'wilson', 'fermions', 'and', 'overlap', 'fermions', 'we', 'compute', 'the', 'scalar', 'condensate', 'by', 'taking', 'the', 'trace', 'of', 'the', 'propagator', 'direct', 'method', 'and', 'by', 'utilizing', 'the', 'integrated', 'wardtakahashi', 'identity', 'while', 'the', 'scalar', 'condensate', 'comes', 'out', 'consistent', 'using', 'these', 'two', 'methods', 'for', 'a', 'given', 'kind', 'of', 'lattice', 'fermions', 'we', 'find', 'quite', 'surprisingly', 'large', 'discrepancies', 'for', 'the', 'scalar', 'condensate', 'between', 'twisted', 'mass', 'and', 'overlap', 'fermions', 'these', 'discrepancies', 'are', 'only', 'resolved', 'when', 'using', 'the', 'point', 'split', 'current', 'for', 'twisted', 'mass', 'fermions']] | [-0.15604921412293096, 0.22905444203666886, -0.06457634034509561, 0.14256861940862572, -0.019577857449042554, -0.12978799181173042, 0.07609319569048834, 0.38506006190971453, -0.14660583019294604, -0.2528111672275985, 0.03964556671788308, -0.28455015518987664, -0.07374565422116798, 0.10521355723280326, 0.05780241198894777, 0.08425483904892997, 0.06948999547618157, 0.008939721897168428, -0.11942215217277408, -0.24037420596661313, 0.43177344313613614, -0.04312095056021852, 0.25311505343118795, 0.11533477780770282, 0.0638109116567945, 0.025035049462196778, -0.0456012463748303, -0.026472916118610575, -0.09151907305812881, 0.08212119628371177, 0.1023262328294828, -0.03632651799244388, 0.13024551400496642, -0.39287177400368894, -0.16043468177014467, 0.08688718428341102, 0.19488965367841327, 0.11315942941262025, -0.04352263179346349, -0.30224856717169896, 0.022233954468048274, -0.19040537106671504, -0.1821481452836674, -0.11690935529578401, -0.06982526051507769, -0.07861019880095098, -0.3020279164407022, 0.12724936264567077, -0.06392223394133759, 0.04695288234447338, -0.033412615231675456, -0.15072941707865317, -0.06446418484520851, 0.09638522302034568, 0.08079175807283812, 0.025472597232116957, 0.10848523136586181, -0.20956562523140895, -0.09571471533795096, 0.39340597928064513, -0.14341526429587026, -0.20170730532013945, 0.12934979774552036, -0.1587045097875656, -0.12094826127963179, 0.09199175389615133, 0.07916859369629956, 0.07502436641679734, -0.15202139734070183, 0.11312955588741437, -0.11909102656099262, 0.13931129105437823, 0.10157305335302894, 0.022048992874594976, 0.33170197141945973, 0.08443839514713582, -0.0004510391855194252, 0.14154396504543873, -0.045531854696324744, -0.16383058537386966, -0.3145105009518412, -0.15169818129637563, -0.1943480101062403, 0.07506202614143948, -0.10863140722239575, -0.15136585391022037, 0.37542927175836294, 0.17230552848789613, 0.20546505111744817, 0.05481759653122602, 0.25065237374938265, 0.16121187226428668, 0.134057524024832, 0.05556004286544131, 0.25898130773566663, 0.17678485474815325, 0.10137339733892634, -0.30955012459593007, -0.18033219240510798, 0.1449918508130525] |
711.2497 | Exponential sensitivity of noise-driven switching in genetic networks | Cells are known to utilize biochemical noise to probabilistically switch
between distinct gene expression states. We demonstrate that such noise-driven
switching is dominated by tails of probability distributions and is therefore
exponentially sensitive to changes in physiological parameters such as
transcription and translation rates. However, provided mRNA lifetimes are
short, switching can still be accurately simulated using protein-only models of
gene expression. Exponential sensitivity limits the robustness of noise-driven
switching, suggesting cells may use other mechanisms in order to switch
reliably.
| q-bio.MN cond-mat.stat-mech q-bio.CB | cells are known to utilize biochemical noise to probabilistically switch between distinct gene expression states we demonstrate that such noisedriven switching is dominated by tails of probability distributions and is therefore exponentially sensitive to changes in physiological parameters such as transcription and translation rates however provided mrna lifetimes are short switching can still be accurately simulated using proteinonly models of gene expression exponential sensitivity limits the robustness of noisedriven switching suggesting cells may use other mechanisms in order to switch reliably | [['cells', 'are', 'known', 'to', 'utilize', 'biochemical', 'noise', 'to', 'probabilistically', 'switch', 'between', 'distinct', 'gene', 'expression', 'states', 'we', 'demonstrate', 'that', 'such', 'noisedriven', 'switching', 'is', 'dominated', 'by', 'tails', 'of', 'probability', 'distributions', 'and', 'is', 'therefore', 'exponentially', 'sensitive', 'to', 'changes', 'in', 'physiological', 'parameters', 'such', 'as', 'transcription', 'and', 'translation', 'rates', 'however', 'provided', 'mrna', 'lifetimes', 'are', 'short', 'switching', 'can', 'still', 'be', 'accurately', 'simulated', 'using', 'proteinonly', 'models', 'of', 'gene', 'expression', 'exponential', 'sensitivity', 'limits', 'the', 'robustness', 'of', 'noisedriven', 'switching', 'suggesting', 'cells', 'may', 'use', 'other', 'mechanisms', 'in', 'order', 'to', 'switch', 'reliably']] | [-0.11184917973285471, 0.19259935115854956, -0.02001556009054184, 0.14845531437557513, -0.04758150268484045, -0.1953514167740021, 0.09772420636619683, 0.43785761057594674, -0.29120017489257416, -0.2906005377133871, 0.054609602995584774, -0.23089909117760848, -0.23783871478596588, 0.22194335202651996, -0.10431629649282974, 0.04019565652641985, 0.059078474888753396, -0.0014548293763288745, 0.061580416824047766, -0.16737189159993035, 0.19568051987638077, 0.03360677377125363, 0.31685679836520625, -0.023566204430765392, 0.10482047009281814, -0.12648273724487719, -0.00040578131598454937, -0.03245843749315144, -0.09711357864688142, 0.08591863671024862, 0.3149765551737082, 0.14811018840582282, 0.20720297858739892, -0.49879535586561685, -0.22458387792317402, 0.1356888557166252, 0.20919275554012, 0.17578469683059755, -0.009521663154440897, -0.24025609198509268, 0.09598514122060603, -0.15372678548971444, -0.06911622143614991, -0.15259725579784977, 0.050322794165738205, 0.12401783096540811, -0.3030458840162114, 0.13478728667775422, 0.03481547946482609, 0.03572141039357693, -0.044487596207792746, -0.09135699832099087, -0.06367945435807615, 0.21326312183597942, 0.09355642519500336, -0.02020519738442, 0.24213978598170258, -0.09701612212315754, -0.1573466315842521, 0.2690881882581492, -0.059948397022786974, -0.23021776729297858, 0.23653607020430542, -0.1332428094321563, -0.09991511531220174, 0.1516977322092395, 0.17123137091366966, 0.045384581223774104, -0.21793369179660524, -0.005363122176344472, 0.1262980921216953, 0.21046684166117582, 0.12902841813586377, 0.06949628099086291, 0.16020046060123008, 0.1879130680527952, 0.024089625829623804, 0.11382282697696262, -0.10719274735239184, -0.1316130125757169, -0.19942184983764166, -0.06164489338967811, -0.1488497771874622, 0.10700939435017422, -0.07749333110728508, -0.13211653801256124, 0.3888461169338337, 0.11197007045488988, 0.2211656144628913, 0.08808633838032867, 0.2832335342687589, 0.11324919764682605, 0.058345531676838425, 0.014285664803066067, 0.16098712352506908, 0.09787211719221998, 0.024680637541790434, -0.25542093793873066, 0.24313056903005933, -0.04443682845176002] |
711.2498 | On the Coupling Problem of Higher Spin Fields in 2+1 Dimension | The coupling problem of higher spin fields with a non dynamical background is
revisited, focussing our attention in 2+1 dimensional space-time. Starting with
a suitable Lagrangian field formulation, we study causality and the
conservation of local degrees of freedom in a theory with gravitational (no
dynamical) interaction, verifying that this type of theories must be consistent
only in some space-time (i.e., dS/AdS). On the other hand, we consider the
gravitational field as a dynamical object coupled with material fields as
sources, from the point of view of a Yang-Mills gauge formulation for gravity.
There we found some constraints on the shape of material fields and we show
that introduction of auxiliary fields coupled with gauge connection does
eliminate those constraints. The model of a Yang-Mills gauge formulation for
topological massive gravity with cosmological constant is briefly introduced
and we show that its field equations are consistent with the well known
cosmologically extended topological massive gravity of Deser at the torsionless
limit.
| hep-th gr-qc | the coupling problem of higher spin fields with a non dynamical background is revisited focussing our attention in 21 dimensional spacetime starting with a suitable lagrangian field formulation we study causality and the conservation of local degrees of freedom in a theory with gravitational no dynamical interaction verifying that this type of theories must be consistent only in some spacetime ie dsads on the other hand we consider the gravitational field as a dynamical object coupled with material fields as sources from the point of view of a yangmills gauge formulation for gravity there we found some constraints on the shape of material fields and we show that introduction of auxiliary fields coupled with gauge connection does eliminate those constraints the model of a yangmills gauge formulation for topological massive gravity with cosmological constant is briefly introduced and we show that its field equations are consistent with the well known cosmologically extended topological massive gravity of deser at the torsionless limit | [['the', 'coupling', 'problem', 'of', 'higher', 'spin', 'fields', 'with', 'a', 'non', 'dynamical', 'background', 'is', 'revisited', 'focussing', 'our', 'attention', 'in', '21', 'dimensional', 'spacetime', 'starting', 'with', 'a', 'suitable', 'lagrangian', 'field', 'formulation', 'we', 'study', 'causality', 'and', 'the', 'conservation', 'of', 'local', 'degrees', 'of', 'freedom', 'in', 'a', 'theory', 'with', 'gravitational', 'no', 'dynamical', 'interaction', 'verifying', 'that', 'this', 'type', 'of', 'theories', 'must', 'be', 'consistent', 'only', 'in', 'some', 'spacetime', 'ie', 'dsads', 'on', 'the', 'other', 'hand', 'we', 'consider', 'the', 'gravitational', 'field', 'as', 'a', 'dynamical', 'object', 'coupled', 'with', 'material', 'fields', 'as', 'sources', 'from', 'the', 'point', 'of', 'view', 'of', 'a', 'yangmills', 'gauge', 'formulation', 'for', 'gravity', 'there', 'we', 'found', 'some', 'constraints', 'on', 'the', 'shape', 'of', 'material', 'fields', 'and', 'we', 'show', 'that', 'introduction', 'of', 'auxiliary', 'fields', 'coupled', 'with', 'gauge', 'connection', 'does', 'eliminate', 'those', 'constraints', 'the', 'model', 'of', 'a', 'yangmills', 'gauge', 'formulation', 'for', 'topological', 'massive', 'gravity', 'with', 'cosmological', 'constant', 'is', 'briefly', 'introduced', 'and', 'we', 'show', 'that', 'its', 'field', 'equations', 'are', 'consistent', 'with', 'the', 'well', 'known', 'cosmologically', 'extended', 'topological', 'massive', 'gravity', 'of', 'deser', 'at', 'the', 'torsionless', 'limit']] | [-0.183768106737284, 0.15784383500833643, -0.08841261850461735, 0.0636632347360878, -0.10579058849570915, -0.14898582625055326, -0.03190012380801812, 0.30269407065041504, -0.18463378389776677, -0.2993491968857298, 0.09273290728805991, -0.2466416447712629, -0.17118492352296105, 0.1361393524631742, -0.03798208155116842, -0.006908790012084017, -0.0009562870290893945, 0.07952565699237289, -0.10632419471790933, -0.23072482160616503, 0.37400086580411246, 0.02119446870970673, 0.21233809109551613, 0.005958867733661803, 0.14507323965684782, 0.014196160087442917, -0.043426588893526734, 0.10179745606349214, -0.10991836986745822, 0.0729597700443061, 0.1614495052855537, 0.08513327688846437, 0.19900259484322916, -0.42687643457620594, -0.2949757701688394, 0.06649741702293688, 0.09845226467153208, 0.17197959258666504, -0.08232073371026734, -0.30067326815116296, 0.03396132594315763, -0.14911033373950802, -0.16484207306447676, -0.048747307610819524, -0.010608724382798541, -0.038060059136080536, -0.2452893129619336, 0.07581821114247121, 0.029079802005489572, 0.05289956268721393, -0.08602402854645018, -0.06339080984015828, -0.055960691667028835, 0.027079043331446114, 0.1160127823703824, 0.08790142273657625, 0.12046444780765946, -0.20058961001410827, -0.117220104570784, 0.4268337504602737, -0.10169724088165076, -0.2369943134778979, 0.2238157393572771, -0.14138147564061124, -0.18504157650099362, 0.08538224577024486, 0.13051913193172504, 0.14868454938835424, -0.14686351141643636, 0.18620082047321077, -0.021540723136562554, 0.14398136682123647, 0.050458151751678, 0.08827391800091758, 0.2894678782087444, 0.10937962336292179, 0.05263839118899951, 0.10751667814669112, -0.017686570849940644, -0.13164290147746757, -0.3796524116827279, -0.14461516640626287, -0.1275363163254296, 0.08873097375700516, -0.13068501350749356, -0.15638644639250782, 0.34530224053837033, 0.17574185200407233, 0.11625716909448043, 0.05435484364883315, 0.23060328680993006, 0.11456223704016287, 0.07190973818358555, 0.06645233738265052, 0.29341750429048036, 0.20957674361441447, 0.07413236383400765, -0.21878936857430506, -0.11063146786706418, 0.0875351584736281] |
711.2499 | Electromagnetic wave-particle with spin and magnetic moment | An axisymmetric static solution of a nonlinear electrodynamics is considered
as a massive charged particle with spin and magnetic moment. A linearization of
the nonlinear electrodynamics around the static solution is investigated. The
appropriate problem for linear waves around the static solution is considered.
This wave part of the particle solution is considered to provide the
appropriate wave properties for the particle. It has been found that the right
(experimentally proved) formula for frequency of this wave appears
theoretically for the static solution with ring singularity.
| hep-th | an axisymmetric static solution of a nonlinear electrodynamics is considered as a massive charged particle with spin and magnetic moment a linearization of the nonlinear electrodynamics around the static solution is investigated the appropriate problem for linear waves around the static solution is considered this wave part of the particle solution is considered to provide the appropriate wave properties for the particle it has been found that the right experimentally proved formula for frequency of this wave appears theoretically for the static solution with ring singularity | [['an', 'axisymmetric', 'static', 'solution', 'of', 'a', 'nonlinear', 'electrodynamics', 'is', 'considered', 'as', 'a', 'massive', 'charged', 'particle', 'with', 'spin', 'and', 'magnetic', 'moment', 'a', 'linearization', 'of', 'the', 'nonlinear', 'electrodynamics', 'around', 'the', 'static', 'solution', 'is', 'investigated', 'the', 'appropriate', 'problem', 'for', 'linear', 'waves', 'around', 'the', 'static', 'solution', 'is', 'considered', 'this', 'wave', 'part', 'of', 'the', 'particle', 'solution', 'is', 'considered', 'to', 'provide', 'the', 'appropriate', 'wave', 'properties', 'for', 'the', 'particle', 'it', 'has', 'been', 'found', 'that', 'the', 'right', 'experimentally', 'proved', 'formula', 'for', 'frequency', 'of', 'this', 'wave', 'appears', 'theoretically', 'for', 'the', 'static', 'solution', 'with', 'ring', 'singularity']] | [-0.17692195537207692, 0.07394859141302647, -0.06457783138855945, 0.0816370670894854, -0.0853982180963422, -0.13163382155539163, -0.07136225446092159, 0.3159909606153189, -0.22751078512086426, -0.2231338454063895, 0.1222951994115097, -0.2830667201602875, -0.12476571904885214, 0.16200968693958076, 0.06852486466469113, 0.11970134134144457, -0.013657995055667883, 0.1011362267136276, -0.031339285719251736, -0.13709940871786933, 0.321718969490639, 0.06837151365268022, 0.2556600740753374, 0.03526117484258531, 0.1466765500561789, 0.006816248983404664, 0.04929074688359748, 0.058408526303030034, -0.11439175872434389, 0.014629002637500593, 0.23620653102650893, 0.07386850898403155, 0.25667060963094757, -0.42977674920545067, -0.21811094645107554, 0.04989304687546263, 0.1536506559824311, 0.1564675906976295, -0.14056858312078688, -0.2768297114011528, 0.10760693459468353, -0.14608718797044698, -0.251351093331915, -0.036493951513812344, 0.08817638858589669, 0.004167731656411359, -0.30440523022742466, 0.09011503616564495, 0.07528815691381, -0.018135148241336264, -0.1361474940109305, -0.05252337297641261, 0.0146788893224195, 0.0343466695062383, 0.090923031477994, 0.04278649345885009, 0.10034256037541253, -0.12914190139773107, -0.08377997014606588, 0.41337086940400825, -0.05996236867314681, -0.2849168279966296, 0.12846073186089998, -0.13732911509645798, -0.02715061851343963, 0.1414432288066289, 0.11941956400568056, 0.19263884600869186, -0.18231421923887547, 0.12788087365604656, -0.0709512934711732, 0.1593894874027302, 0.1021343911023334, 0.015241503840052458, 0.2430253907345062, 0.1719648301341506, 0.09307391772102186, 0.17022259076407484, -0.07035123297489833, -0.11762272026173251, -0.2664583282826772, -0.15688724749786562, -0.18193700984336955, 0.06443981002633146, -0.07857070418685907, -0.21886901625128852, 0.40519421589885685, 0.09486219761243393, 0.08198932606488639, -0.0023592815539518067, 0.27765169880504526, 0.22296582239133111, 0.02930415672964828, 0.06949060975552299, 0.34194205805312755, 0.15011753683075915, 0.1606022297123144, -0.24873474791245317, 0.001998522459680951, 0.07491086885809552] |
711.25 | Mesonic interactions and their contribution to strong phases in flavor
physics | We analyze the contributions of hadronic final-state interactions to the
strong phases generated in the B -> Kpipi weak decays. To this end, we develop
an alternative approach to the commonly employed isobar model based upon scalar
and vector form factors for pion-pion and pion-kaon interactions.
| hep-ph nucl-th | we analyze the contributions of hadronic finalstate interactions to the strong phases generated in the b kpipi weak decays to this end we develop an alternative approach to the commonly employed isobar model based upon scalar and vector form factors for pionpion and pionkaon interactions | [['we', 'analyze', 'the', 'contributions', 'of', 'hadronic', 'finalstate', 'interactions', 'to', 'the', 'strong', 'phases', 'generated', 'in', 'the', 'b', 'kpipi', 'weak', 'decays', 'to', 'this', 'end', 'we', 'develop', 'an', 'alternative', 'approach', 'to', 'the', 'commonly', 'employed', 'isobar', 'model', 'based', 'upon', 'scalar', 'and', 'vector', 'form', 'factors', 'for', 'pionpion', 'and', 'pionkaon', 'interactions']] | [-0.09611298567098048, 0.2047875611658027, -0.1070416249257202, 0.14761808541241206, -0.07761049720251725, -0.10289112764100233, 0.046589741716808124, 0.32073509838018155, -0.2332020131819364, -0.19420877260466415, -0.08725287832785397, -0.31480666630797915, -0.12378612833304538, 0.04946545564776494, 0.11836214769217702, 0.07161212820921921, 0.02571874203470846, 0.012931139989652568, -0.047720268658465806, -0.16948468152744076, 0.3610362363824, 0.0025853734877374435, 0.25244000441291264, 0.12649521629015606, 0.016805276543729836, 0.08388123891005914, -0.04407164388232761, -0.0683800830402308, -0.16165257919993664, 0.09382562680790822, 0.19998302972979015, 0.08034583569695113, 0.13144599758088588, -0.43149533588439226, -0.10916167803936534, 0.12311473629540867, 0.17304403241206373, 0.14366312905525166, -0.007025304809212684, -0.35090473571585284, 0.08428974689708815, -0.22534198741325073, -0.09449847837289174, -0.15598781837357414, -0.010665641973416011, -0.05689804223883483, -0.39816778434647454, 0.04927299370368322, -0.00024208732777171666, -0.0037598418227086463, -0.05021951055775086, -0.19639384064616427, 0.078518513797058, 0.08697408105557164, 0.14783416965510696, 0.0770412332067887, 0.12530461820877262, -0.1500500198194964, -0.12909145833562233, 0.39860691817270383, -0.12547014879269733, -0.2130166883683867, 0.20873240905606913, -0.07526111522618319, -0.11596459389353792, 0.12441886197775602, 0.25934366745253407, 0.06648285650816332, -0.22392388011018435, 0.08398885426577181, 0.06688985532770554, 0.17139644014338654, 0.01181445082442628, 0.05100628561857674, 0.11653067386812634, 0.13739102400011485, -0.07386302432666222, 0.10363036890824635, -0.07909208118087716, -0.0870502021163702, -0.3511288118859132, -0.0747483026701957, -0.06354169595805514, 0.022562673449930216, -0.03237879689097301, -0.15773123695204655, 0.3800911189419114, 0.14296976293488922, 0.24921368662681845, -0.02798806940101915, 0.3526493087410927, 0.09285535684062375, 0.04490663425337213, 0.04276264125688208, 0.3191002975528439, 0.20365415716336832, 0.08652907200157642, -0.25897668645613725, 0.017795817191816037, 0.10530785624351767] |
711.2501 | Error Exponents of Erasure/List Decoding Revisited via Moments of
Distance Enumerators | The analysis of random coding error exponents pertaining to erasure/list
decoding, due to Forney, is revisited. Instead of using Jensen's inequality as
well as some other inequalities in the derivation, we demonstrate that an
exponentially tight analysis can be carried out by assessing the relevant
moments of a certain distance enumerator. The resulting bound has the following
advantages: (i) it is at least as tight as Forney's bound, (ii) under certain
symmetry conditions associated with the channel and the random coding
distribution, it is simpler than Forney's bound in the sense that it involves
an optimization over one parameter only (rather than two), and (iii) in certain
special cases, like the binary symmetric channel (BSC), the optimum value of
this parameter can be found in closed form, and so, there is no need to conduct
a numerical search. We have not found yet, however, a numerical example where
this new bound is strictly better than Forney's bound. This may provide an
additional evidence to support Forney's conjecture that his bound is tight for
the average code. We believe that the technique we suggest in this paper can be
useful in simplifying, and hopefully also improving, exponential error bounds
in other problem settings as well.
| cs.IT math.IT | the analysis of random coding error exponents pertaining to erasurelist decoding due to forney is revisited instead of using jensens inequality as well as some other inequalities in the derivation we demonstrate that an exponentially tight analysis can be carried out by assessing the relevant moments of a certain distance enumerator the resulting bound has the following advantages i it is at least as tight as forneys bound ii under certain symmetry conditions associated with the channel and the random coding distribution it is simpler than forneys bound in the sense that it involves an optimization over one parameter only rather than two and iii in certain special cases like the binary symmetric channel bsc the optimum value of this parameter can be found in closed form and so there is no need to conduct a numerical search we have not found yet however a numerical example where this new bound is strictly better than forneys bound this may provide an additional evidence to support forneys conjecture that his bound is tight for the average code we believe that the technique we suggest in this paper can be useful in simplifying and hopefully also improving exponential error bounds in other problem settings as well | [['the', 'analysis', 'of', 'random', 'coding', 'error', 'exponents', 'pertaining', 'to', 'erasurelist', 'decoding', 'due', 'to', 'forney', 'is', 'revisited', 'instead', 'of', 'using', 'jensens', 'inequality', 'as', 'well', 'as', 'some', 'other', 'inequalities', 'in', 'the', 'derivation', 'we', 'demonstrate', 'that', 'an', 'exponentially', 'tight', 'analysis', 'can', 'be', 'carried', 'out', 'by', 'assessing', 'the', 'relevant', 'moments', 'of', 'a', 'certain', 'distance', 'enumerator', 'the', 'resulting', 'bound', 'has', 'the', 'following', 'advantages', 'i', 'it', 'is', 'at', 'least', 'as', 'tight', 'as', 'forneys', 'bound', 'ii', 'under', 'certain', 'symmetry', 'conditions', 'associated', 'with', 'the', 'channel', 'and', 'the', 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'also', 'improving', 'exponential', 'error', 'bounds', 'in', 'other', 'problem', 'settings', 'as', 'well']] | [-0.11587399055076507, 0.06881257723616013, -0.10462076124945181, 0.10730996956836487, -0.07352836890483969, -0.2303022289872352, 0.09116488315995928, 0.3483394132088185, -0.2452551641035825, -0.3041433573052214, 0.14736423826623507, -0.2281528901281383, -0.1842765490588385, 0.23630595956723588, -0.07963278784654011, 0.05658602957641158, 0.0435369823358533, 0.07720520915181088, -0.08737856705841955, -0.28256892184521454, 0.28203006081200915, 0.11027480465674992, 0.2577997676357079, 0.08163051078793383, 0.012935809420727595, -0.006880488105154797, 0.005544651753963062, 0.008051012669565191, -0.14540592599708665, 0.09633896682199146, 0.24845710120451472, 0.17167934806853094, 0.28810190831712795, -0.3744949793178296, -0.19952082486626893, 0.1278637509174444, 0.196418013122371, 0.11462490602542519, -0.052252963330829516, -0.23953014270998263, 0.10175313965238257, 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711.2502 | Cohomology of groups in o-minimal structures: acyclicity of the
infinitesimal subgroup | By recent work on some conjectures of Pillay, each definably compact group in
a saturated o-minimal structure is an expansion of a compact Lie group by a
torsion free normal divisible subgroup, called its infinitesimal subgroup. We
show that the infinitesimal subgroup is cohomologically acyclic. This implies
that the functorial correspondence between definably compact groups and Lie
groups preserves the cohomology.
| math.LO math.AT | by recent work on some conjectures of pillay each definably compact group in a saturated ominimal structure is an expansion of a compact lie group by a torsion free normal divisible subgroup called its infinitesimal subgroup we show that the infinitesimal subgroup is cohomologically acyclic this implies that the functorial correspondence between definably compact groups and lie groups preserves the cohomology | [['by', 'recent', 'work', 'on', 'some', 'conjectures', 'of', 'pillay', 'each', 'definably', 'compact', 'group', 'in', 'a', 'saturated', 'ominimal', 'structure', 'is', 'an', 'expansion', 'of', 'a', 'compact', 'lie', 'group', 'by', 'a', 'torsion', 'free', 'normal', 'divisible', 'subgroup', 'called', 'its', 'infinitesimal', 'subgroup', 'we', 'show', 'that', 'the', 'infinitesimal', 'subgroup', 'is', 'cohomologically', 'acyclic', 'this', 'implies', 'that', 'the', 'functorial', 'correspondence', 'between', 'definably', 'compact', 'groups', 'and', 'lie', 'groups', 'preserves', 'the', 'cohomology']] | [-0.2743811334681804, 0.10184629476217927, -0.14702667525328209, 0.05452054739952637, -0.22755815974650445, -0.07290959544479847, 0.0047942182949942645, 0.4360203972605408, -0.3514406238835244, -0.14539548537892397, 0.09268792703190483, -0.19295884119194062, -0.12428802325100195, 0.17646886747269358, -0.22200905917914676, -0.13736366306633888, 0.027518116415776006, 0.17979622408594997, -0.06575981907729732, -0.2607139054586592, 0.460231873252597, -0.06583838284656894, 0.2552389053543877, -0.012670620787339132, 0.12487951812685513, -0.028078005851206338, -0.026333492249250412, -0.02271565315542651, -0.10891760068255683, 0.1481272348385976, 0.33795855606554964, -0.005910095659496843, 0.22663758063429326, -0.36115027652656445, -0.14134979405302983, 0.22052432644203854, 0.10397889955588578, -0.0586735592147366, -0.09463014816445467, -0.33706963462297057, 0.14886135516352342, -0.24088603648983065, -0.18067047315970308, -0.08832621044616719, 0.13674607512647988, -0.05639343081252935, -0.1331694491759141, 0.01950099280668942, 0.13579072593329627, 0.1611535926425799, -0.05788631645817554, -0.0031069540342346567, -0.09345543383025244, 0.062124321603628456, -0.04435875774437531, 0.06715581927173694, 0.15997112746356193, -0.05101693989174654, -0.12799524144292426, 0.3868960275726973, -0.07873730723494206, -0.16946718243301892, 0.12415214716533168, -0.21839260345050057, -0.31344611124425636, 0.1484177153191117, -0.021930685144711713, 0.18506076001298813, 0.008120750915831657, 0.26388948051865807, -0.24315536668005047, 0.0548094256216141, 0.06497304585808125, -0.06835162577020829, 0.09658413273511363, 0.08839062169255292, 0.09209043509708564, 0.12239043734448611, 0.1567158974730028, 0.08576065824046487, -0.4003493032250248, -0.20993121517974822, -0.09461143863249998, 0.12943670297133142, -0.1480965986692816, -0.1986616761728999, 0.3728420396075874, 0.028843825912011452, 0.10710289765943269, 0.16787748406717523, 0.19701993215035218, -0.015552791839343359, 0.07353729062301458, 0.16585327185629334, 0.06065791358142618, 0.33628494704722384, -0.2157358007398663, -0.1327887097617886, -0.051055029200649533, 0.242197391210643] |
711.2503 | Sparsity in time-frequency representations | We consider signals and operators in finite dimension which have sparse
time-frequency representations. As main result we show that an $S$-sparse Gabor
representation in $\mathbb{C}^n$ with respect to a random unimodular window can
be recovered by Basis Pursuit with high probability provided that $S\leq
Cn/\log(n)$. Our results are applicable to the channel estimation problem in
wireless communications and they establish the usefulness of a class of
measurement matrices for compressive sensing.
| math.CA cs.IT math.IT | we consider signals and operators in finite dimension which have sparse timefrequency representations as main result we show that an ssparse gabor representation in mathbbcn with respect to a random unimodular window can be recovered by basis pursuit with high probability provided that sleq cnlogn our results are applicable to the channel estimation problem in wireless communications and they establish the usefulness of a class of measurement matrices for compressive sensing | [['we', 'consider', 'signals', 'and', 'operators', 'in', 'finite', 'dimension', 'which', 'have', 'sparse', 'timefrequency', 'representations', 'as', 'main', 'result', 'we', 'show', 'that', 'an', 'ssparse', 'gabor', 'representation', 'in', 'mathbbcn', 'with', 'respect', 'to', 'a', 'random', 'unimodular', 'window', 'can', 'be', 'recovered', 'by', 'basis', 'pursuit', 'with', 'high', 'probability', 'provided', 'that', 'sleq', 'cnlogn', 'our', 'results', 'are', 'applicable', 'to', 'the', 'channel', 'estimation', 'problem', 'in', 'wireless', 'communications', 'and', 'they', 'establish', 'the', 'usefulness', 'of', 'a', 'class', 'of', 'measurement', 'matrices', 'for', 'compressive', 'sensing']] | [-0.11102257405540773, 0.11965865212945832, -0.05374461588050638, -0.007347034697886556, -0.0272499869344756, -0.15850383621041797, -0.007526129670441151, 0.407824493465679, -0.31845945856933083, -0.18400719657157813, 0.16181123280465337, -0.23487716524728708, -0.21444452508751835, 0.17636715019387858, -0.1481348059539284, 0.10463817289897374, 0.0859637665329501, 0.06661072711327247, -0.09612030103702897, -0.23775972200091927, 0.2877851911421333, 0.020297090389898846, 0.28930551349850636, -0.004790386996631112, 0.08218011372456593, 0.061815768729762306, -0.04128663735464215, -0.023139478558940548, -0.0694711252824553, 0.12012468006827735, 0.37714953470442975, 0.18040019151758316, 0.2715227212790134, -0.3874695832708052, -0.2693620477004775, 0.15622157507709095, 0.16303589174390903, 0.07444591420270237, -0.09560566011683218, -0.34598112259991465, 0.16203705685412778, -0.14440265514089592, -0.09040084296970495, -0.0991693871627961, -0.03046382657318775, 0.021664420501994235, -0.3948379120656422, 0.06533597444982402, 0.07204978901094623, 0.026589053283844675, -0.08093255774251053, -0.1251943511954908, 0.07223826325165907, 0.1041763348222178, 0.0005421513575129211, 0.0427183723077178, 0.06683929211992239, -0.06658167619524258, -0.12701980253415449, 0.38716920741301564, -0.08790757117260779, -0.28592325491564613, 0.15894192971505358, -0.1564760070892849, -0.15012650678067335, 0.0850437920274479, 0.22985681759725723, 0.07489703951370237, -0.09349123518913985, 0.10308911856097569, -0.08913071183487772, 0.14092492855519856, 0.07735609192667263, 0.1165429048506277, 0.1128392845059612, 0.10092425174745066, 0.1537706313688042, 0.11526166144924771, -0.07944035917919662, -0.0026682120348726, -0.2650979764185779, -0.11571436660763408, -0.28496848637171623, 0.019854358064809015, -0.15211714563982762, -0.11854345968791417, 0.3804381115095956, 0.16466176079453101, 0.19466678663156928, 0.1418103128821323, 0.25432356568053366, 0.11696355956872659, 0.035813900961407595, 0.07580215214485568, 0.1618803141106452, 0.19634289828328683, 0.04550300291074174, -0.11166021802928298, 0.0016563868715560861, 0.08413248691109142] |
711.2504 | Isotopic Anomalies in CP Stars: Helium, Mercury, Platinum, and Calcium | We review the classical observational results for isotopic abundance
variations for several elements in CP stars. We concentrate on the "newest"
anomaly, in calcium. The cosmically very rare isotope, Ca-48 can rival and even
dominate the more common, alpha nuclide, Ca-40. Relevant examples are found in
the hot, non-magnetic HgMn stars, and the field horizontal-branch star, Feige
86. The calcium anomaly is also present in cool, magnetic stars, including the
notorious HD 101065, Przybylski's star.
| astro-ph | we review the classical observational results for isotopic abundance variations for several elements in cp stars we concentrate on the newest anomaly in calcium the cosmically very rare isotope ca48 can rival and even dominate the more common alpha nuclide ca40 relevant examples are found in the hot nonmagnetic hgmn stars and the field horizontalbranch star feige 86 the calcium anomaly is also present in cool magnetic stars including the notorious hd 101065 przybylskis star | [['we', 'review', 'the', 'classical', 'observational', 'results', 'for', 'isotopic', 'abundance', 'variations', 'for', 'several', 'elements', 'in', 'cp', 'stars', 'we', 'concentrate', 'on', 'the', 'newest', 'anomaly', 'in', 'calcium', 'the', 'cosmically', 'very', 'rare', 'isotope', 'ca48', 'can', 'rival', 'and', 'even', 'dominate', 'the', 'more', 'common', 'alpha', 'nuclide', 'ca40', 'relevant', 'examples', 'are', 'found', 'in', 'the', 'hot', 'nonmagnetic', 'hgmn', 'stars', 'and', 'the', 'field', 'horizontalbranch', 'star', 'feige', '86', 'the', 'calcium', 'anomaly', 'is', 'also', 'present', 'in', 'cool', 'magnetic', 'stars', 'including', 'the', 'notorious', 'hd', '101065', 'przybylskis', 'star']] | [-0.06209633945537781, 0.19536006793763638, 0.024462065635865705, 0.12753958180326516, -0.09487872377723909, -0.10772194914721153, 0.08332186570781208, 0.3833169224546165, -0.1302090709198367, -0.29910310466043855, 0.029098445381277014, -0.3416673504634181, -0.04594266173001882, 0.18759591825860175, -0.08829402992174633, -0.035985009280675266, 0.13079212432903414, 0.044573806660451194, -0.034005596370096446, -0.26506811086319676, 0.25895840055435093, 0.022091310055976785, 0.1195286902216754, 0.008785656030365342, -0.07014958083478583, -0.17057816158174663, -0.06196051810842913, -0.0448050385190023, -0.13024027829335347, 0.009300822214336714, 0.24018068805437637, 0.13280762188337944, 0.11412197390470553, -0.3715857443827632, -0.2073531314176885, 0.06913706106511322, 0.19220751917266563, 0.07722689509643493, -0.15493041129623117, -0.25973061665993286, 0.0807277830821034, -0.1351998831472687, -0.10467170486132286, -0.044646802786234265, 0.03514576383167878, 0.012721723946113442, -0.25269697241585803, 0.09506970630900469, 0.04359656382301772, 0.15750787112031234, -0.10392509622977593, -0.2571102272643632, 0.0028712287689936725, 0.06153098337440374, 0.06545270079063689, 0.01726043308657166, 0.14893732953665628, -0.1216945707911273, -0.0026991228648536912, 0.4247515169853294, -0.15113080694887637, 0.027613559913997714, 0.21147280485318923, -0.18487065349630005, -0.2625492423634372, 0.11221751500852406, 0.08461384023413868, 0.21744541474618018, -0.19690297592456477, 0.015270913037081325, -0.012173199456663349, 0.15851342949915576, 0.061040002122722765, 0.082459447326491, 0.2982662042753922, 0.1584274672550728, -0.027848933760479495, 0.06372955976041488, -0.24676876416669, -0.07191988848451827, -0.1982105026065649, -0.15144659967690305, -0.029808041708845948, 0.023091679929780798, -0.08994840957638116, -0.15898451158726537, 0.3175258675166972, 0.11260597022782029, 0.1439169180906705, -0.07579850327424906, 0.26443133725960916, 0.016520843178531742, 0.0962260891341233, 0.10707050168609901, 0.31818333730051246, 0.25120398513595193, 0.14817124473660984, -0.3428960559398842, 0.12569338711280678, -0.005496855800014896] |
711.2505 | Star Spot Induced Radial Velocity Variability in LkCa 19 | We describe a new radial velocity survey of T Tauri stars and present the
first results. Our search is motivated by an interest in detecting massive
young planets, as well as investigating the origin of the brown dwarf desert.
As part of this survey, we discovered large-amplitude, periodic, radial
velocity variations in the spectrum of the weak line T Tauri star LkCa 19.
Using line bisector analysis and a new simulation of the effect of star spots
on the photometric and radial velocity variability of T Tauri stars, we show
that our measured radial velocities for LkCa19 are fully consistent with
variations caused by the presence of large star spots on this rapidly rotating
young star. These results illustrate the level of activity-induced radial
velocity noise associated with at least some very young stars. This
activity-induced noise will set lower limits on the mass of a companion
detectable around LkCa 19, and similarly active young stars.
| astro-ph | we describe a new radial velocity survey of t tauri stars and present the first results our search is motivated by an interest in detecting massive young planets as well as investigating the origin of the brown dwarf desert as part of this survey we discovered largeamplitude periodic radial velocity variations in the spectrum of the weak line t tauri star lkca 19 using line bisector analysis and a new simulation of the effect of star spots on the photometric and radial velocity variability of t tauri stars we show that our measured radial velocities for lkca19 are fully consistent with variations caused by the presence of large star spots on this rapidly rotating young star these results illustrate the level of activityinduced radial velocity noise associated with at least some very young stars this activityinduced noise will set lower limits on the mass of a companion detectable around lkca 19 and similarly active young stars | [['we', 'describe', 'a', 'new', 'radial', 'velocity', 'survey', 'of', 't', 'tauri', 'stars', 'and', 'present', 'the', 'first', 'results', 'our', 'search', 'is', 'motivated', 'by', 'an', 'interest', 'in', 'detecting', 'massive', 'young', 'planets', 'as', 'well', 'as', 'investigating', 'the', 'origin', 'of', 'the', 'brown', 'dwarf', 'desert', 'as', 'part', 'of', 'this', 'survey', 'we', 'discovered', 'largeamplitude', 'periodic', 'radial', 'velocity', 'variations', 'in', 'the', 'spectrum', 'of', 'the', 'weak', 'line', 't', 'tauri', 'star', 'lkca', '19', 'using', 'line', 'bisector', 'analysis', 'and', 'a', 'new', 'simulation', 'of', 'the', 'effect', 'of', 'star', 'spots', 'on', 'the', 'photometric', 'and', 'radial', 'velocity', 'variability', 'of', 't', 'tauri', 'stars', 'we', 'show', 'that', 'our', 'measured', 'radial', 'velocities', 'for', 'lkca19', 'are', 'fully', 'consistent', 'with', 'variations', 'caused', 'by', 'the', 'presence', 'of', 'large', 'star', 'spots', 'on', 'this', 'rapidly', 'rotating', 'young', 'star', 'these', 'results', 'illustrate', 'the', 'level', 'of', 'activityinduced', 'radial', 'velocity', 'noise', 'associated', 'with', 'at', 'least', 'some', 'very', 'young', 'stars', 'this', 'activityinduced', 'noise', 'will', 'set', 'lower', 'limits', 'on', 'the', 'mass', 'of', 'a', 'companion', 'detectable', 'around', 'lkca', '19', 'and', 'similarly', 'active', 'young', 'stars']] | [-0.1040969654557205, 0.15854596583137004, -0.054064570120610896, 0.062262013186550426, -0.12253659673395657, -0.03688721476242907, 0.08860589434663134, 0.3652326173599689, -0.16811905080873157, -0.34223181908769956, 0.07479378454116804, -0.2613738925734417, -0.0667974948402374, 0.22145095042013113, -0.10422176940426711, -0.00602022728792602, 0.13151549495636455, -0.032911294848928525, -0.017674888338473055, -0.23364431141244787, 0.3169893522536562, 0.04060473616325086, 0.05853727189823985, -0.052107062609866264, 0.019027060859145656, -0.1105263629147122, -0.12710540798763115, 0.015988326607452284, -0.16825503562300112, 0.027415558302234258, 0.19343692455290545, 0.10148138853030339, 0.2184059050354746, -0.2858861908436783, -0.22028062320614775, 0.045853578575676485, 0.1939541890826677, 0.016550604073751356, -0.09578145343374701, -0.3225715147451528, 0.10544772694307951, -0.1507860387900784, -0.21210503917968562, 0.018218702472926628, 0.09762413781136274, 0.07574830328474842, -0.2184767608155286, 0.13971089501714995, 0.09006512777414173, 0.19186216313391924, -0.12385910204761932, -0.13510203666444268, -0.04061340260649881, 0.07117988242497367, 0.03785570679502862, 0.0841077376316647, 0.13454697620604308, -0.13718420170217513, -0.0366047470109357, 0.3804709881544113, -0.1791778968451845, -0.024767877905058765, 0.2715159554154642, -0.25405944405844616, -0.187788121101837, 0.11543893506600252, 0.17851856789446527, 0.19991158618922195, -0.17707327300262066, -0.024785884537343535, -0.045971497631211194, 0.1814642634839871, 0.08452707856833454, 0.04450222465900644, 0.37418075053081395, 0.12453971126496101, 0.04816002926278499, 0.09549606397162161, -0.3167558775347237, -0.047071127960037804, -0.2654158763046707, -0.1082576819905831, -0.13710622919663307, 0.03541717372549277, -0.10204139358717047, -0.1254961408584589, 0.35023583214609855, 0.10402009490456793, 0.2193287984753448, 0.04129455668941861, 0.28001849056792355, 0.10401794680764133, 0.10885074538809637, 0.1512401596342604, 0.27430923217851216, 0.22086096291971063, 0.1446504921171694, -0.2940342127045076, 0.0565689098525552, -0.004010493674826238] |
711.2506 | Effect of initial configuration on network-based recommendation | In this paper, based on a weighted object network, we propose a
recommendation algorithm, which is sensitive to the configuration of initial
resource distribution. Even under the simplest case with binary resource, the
current algorithm has remarkably higher accuracy than the widely applied global
ranking method and collaborative filtering. Furthermore, we introduce a free
parameter $\beta$ to regulate the initial configuration of resource. The
numerical results indicate that decreasing the initial resource located on
popular objects can further improve the algorithmic accuracy. More
significantly, we argue that a better algorithm should simultaneously have
higher accuracy and be more personal. According to a newly proposed measure
about the degree of personalization, we demonstrate that a degree-dependent
initial configuration can outperform the uniform case for both accuracy and
personalization strength.
| physics.soc-ph | in this paper based on a weighted object network we propose a recommendation algorithm which is sensitive to the configuration of initial resource distribution even under the simplest case with binary resource the current algorithm has remarkably higher accuracy than the widely applied global ranking method and collaborative filtering furthermore we introduce a free parameter beta to regulate the initial configuration of resource the numerical results indicate that decreasing the initial resource located on popular objects can further improve the algorithmic accuracy more significantly we argue that a better algorithm should simultaneously have higher accuracy and be more personal according to a newly proposed measure about the degree of personalization we demonstrate that a degreedependent initial configuration can outperform the uniform case for both accuracy and personalization strength | [['in', 'this', 'paper', 'based', 'on', 'a', 'weighted', 'object', 'network', 'we', 'propose', 'a', 'recommendation', 'algorithm', 'which', 'is', 'sensitive', 'to', 'the', 'configuration', 'of', 'initial', 'resource', 'distribution', 'even', 'under', 'the', 'simplest', 'case', 'with', 'binary', 'resource', 'the', 'current', 'algorithm', 'has', 'remarkably', 'higher', 'accuracy', 'than', 'the', 'widely', 'applied', 'global', 'ranking', 'method', 'and', 'collaborative', 'filtering', 'furthermore', 'we', 'introduce', 'a', 'free', 'parameter', 'beta', 'to', 'regulate', 'the', 'initial', 'configuration', 'of', 'resource', 'the', 'numerical', 'results', 'indicate', 'that', 'decreasing', 'the', 'initial', 'resource', 'located', 'on', 'popular', 'objects', 'can', 'further', 'improve', 'the', 'algorithmic', 'accuracy', 'more', 'significantly', 'we', 'argue', 'that', 'a', 'better', 'algorithm', 'should', 'simultaneously', 'have', 'higher', 'accuracy', 'and', 'be', 'more', 'personal', 'according', 'to', 'a', 'newly', 'proposed', 'measure', 'about', 'the', 'degree', 'of', 'personalization', 'we', 'demonstrate', 'that', 'a', 'degreedependent', 'initial', 'configuration', 'can', 'outperform', 'the', 'uniform', 'case', 'for', 'both', 'accuracy', 'and', 'personalization', 'strength']] | [-0.07817882280323829, 0.02609252091133385, -0.09994925629507634, 0.0763166078404538, -0.08605262619676068, -0.1699910476236255, 0.0774646784457218, 0.44037504456355236, -0.20190650961376377, -0.3391709632869606, 0.0781634246404792, -0.20576818027257104, -0.1524836035532644, 0.1878398341286811, -0.0976736191805685, 0.04738438842650794, 0.1139049537819119, 0.0788206017750781, -0.0735479250906792, -0.30394846054423397, 0.3141237400122918, 0.11033703842986142, 0.34648545723757707, 0.039612667378150945, 0.08147198994629434, 0.007813163676388513, -0.006324015539576067, 0.05537408397907484, -0.10039094498546319, 0.14507479909661924, 0.2287751950934762, 0.17983427164290333, 0.3162561546341749, -0.3555311768577667, -0.21128425261122175, 0.11616428117849864, 0.16653890924499137, 0.10684477672566572, -0.037103843605336806, -0.2887568693558933, 0.134667834136053, -0.21825981780705206, -0.08549296237288218, -0.11441022354210872, -0.017443219949200284, 0.03147008687574271, -0.32223369892744813, 0.06649666830799106, 0.026717195414676098, -0.002221851487774984, -0.0598649077473965, -0.1415955979609862, -0.005806158473205869, 0.12360458127295715, 0.0033499023302283604, 0.06631326684873784, 0.14649929351071478, -0.14198936818365837, -0.13516719382096198, 0.36534753820160404, -0.05473746677910185, -0.23604270119903958, 0.19103292228282953, -0.09167652374162572, -0.15632485056994483, 0.09130323962017428, 0.2021837372376467, 0.12441216085608175, -0.12161611801275285, -0.0025582323592061584, -0.031281988878617994, 0.2246449311642209, 0.04452846684580436, 0.03210623711856897, 0.15304386524076108, 0.21089688230131287, 0.14301835737205693, 0.15094916507405287, -0.0951556351687941, -0.09393465196626494, -0.1909569840063341, -0.12923839078575838, -0.16468970667483518, -0.008164620696334168, -0.13708102538623734, -0.11518870275176596, 0.4061134035073337, 0.24036486630211584, 0.15729600534541532, 0.07298097056718689, 0.308996977226343, 0.09615811379626393, 0.053407552885801124, 0.10256232941537746, 0.2048679790677852, 0.012420698618370807, 0.11849476292991312, -0.207522676235385, 0.11944739278987981, 0.034277643855602946] |
711.2507 | A singular stochastic differential equation driven by fractional
Brownian motion | In this paper we study a singular stochastic differential equation driven by
an additive fractional Brownian motion with Hurst parameter $H>\frac 12$. Under
some assumptions on the drift, we show that there is a unique solution, which
has moments of all orders. We also apply the techniques of Malliavin calculus
to prove that the solution has an absolutely continuous law at any time $t>0$.
| math.PR | in this paper we study a singular stochastic differential equation driven by an additive fractional brownian motion with hurst parameter hfrac 12 under some assumptions on the drift we show that there is a unique solution which has moments of all orders we also apply the techniques of malliavin calculus to prove that the solution has an absolutely continuous law at any time t0 | [['in', 'this', 'paper', 'we', 'study', 'a', 'singular', 'stochastic', 'differential', 'equation', 'driven', 'by', 'an', 'additive', 'fractional', 'brownian', 'motion', 'with', 'hurst', 'parameter', 'hfrac', '12', 'under', 'some', 'assumptions', 'on', 'the', 'drift', 'we', 'show', 'that', 'there', 'is', 'a', 'unique', 'solution', 'which', 'has', 'moments', 'of', 'all', 'orders', 'we', 'also', 'apply', 'the', 'techniques', 'of', 'malliavin', 'calculus', 'to', 'prove', 'that', 'the', 'solution', 'has', 'an', 'absolutely', 'continuous', 'law', 'at', 'any', 'time', 't0']] | [-0.12194097807514481, 0.08693026993250896, -0.13809169255546294, 0.014117797094513662, -0.07578028772695689, -0.11411939702520613, 0.002032484890150954, 0.3666034343186766, -0.3356982665864052, -0.1798627411844791, 0.14791041922308068, -0.30782108621497173, -0.16484050278086215, 0.17437006058753468, -0.12576697507756762, 0.07014213726506568, 0.022893321627634577, 0.04677329935657326, -0.03787146570539335, -0.21614089352078736, 0.34063546892866725, -0.06931614078348503, 0.1592213275580434, -0.017800065533265297, 0.20587370186694898, -0.03525391692528501, -0.02454479315201752, 0.021292092598741874, -0.24366928952190392, 0.060085788631113246, 0.18709439582380583, 0.009784478057554225, 0.3484999665815849, -0.38746877521043643, -0.18222845158015843, 0.17484716471517459, 0.10497131428519424, 0.05197659736404603, -0.0620013921707141, -0.300216357660247, 0.1025236780224077, -0.14626125848371885, -0.1919468150663306, -0.1280558081161871, 0.08835511727374978, 0.05055663635357632, -0.3130203561449889, 0.092988199040974, 0.1432803856441751, 0.029176739262766205, -0.11980408344243187, -0.09394485477241687, 0.02668287464621244, 0.02831239115766948, 0.07993328172233305, 0.022582991152376053, 0.08064629612636054, -0.07605881120343838, -0.17377605081128422, 0.30220421342892223, -0.1337571040930925, -0.2956871739879716, 0.13325154114863835, -0.20849332709622104, -0.18529576383298263, 0.1502848305099178, 0.09312263125320897, 0.14297722760477427, -0.20433832152775722, 0.1952586618863279, -0.031563976386678405, 0.19248392988811247, 0.078298082400579, -0.019916080593247898, 0.06917313701706007, 0.13409905743901618, 0.20060181333246874, 0.09712163770745974, -0.06617443805225776, -0.12980126251204638, -0.3439008981222287, -0.1904392314463621, -0.16839078182420053, 0.11721649022365455, -0.13508093777636532, -0.1764675141312182, 0.34735155475209467, 0.18420536977646407, 0.14478583421441726, 0.09316860523722426, 0.244416456844192, 0.2741722457722062, -0.03238507521018619, 0.08877842543734005, 0.15766478405248563, 0.11732637375462218, 0.12893003179124207, -0.17968594020021555, 0.07073498282625224, 0.09013338637305424] |
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