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711.3808 | Hyperfinite graph limits | G\'abor Elek introduced the notion of a hyperfinite graph family: a
collection of graphs is hypefinite if for every $\epsilon>0$ there is some
finite $k$ such that each graph $G$ in the collection can be broken into
connected components of size at most $k$ by removing a set of edges of size at
most $\epsilon|V(G)|$. We presently extend this notion to a certain
compactification of finite bounded-degree graphs, and show that if a sequence
of finite graphs converges to a hyperfinite limit, then the sequence itself is
hyperfinite.
| math.PR math.CO | gabor elek introduced the notion of a hyperfinite graph family a collection of graphs is hypefinite if for every epsilon0 there is some finite k such that each graph g in the collection can be broken into connected components of size at most k by removing a set of edges of size at most epsilonvg we presently extend this notion to a certain compactification of finite boundeddegree graphs and show that if a sequence of finite graphs converges to a hyperfinite limit then the sequence itself is hyperfinite | [['gabor', 'elek', 'introduced', 'the', 'notion', 'of', 'a', 'hyperfinite', 'graph', 'family', 'a', 'collection', 'of', 'graphs', 'is', 'hypefinite', 'if', 'for', 'every', 'epsilon0', 'there', 'is', 'some', 'finite', 'k', 'such', 'that', 'each', 'graph', 'g', 'in', 'the', 'collection', 'can', 'be', 'broken', 'into', 'connected', 'components', 'of', 'size', 'at', 'most', 'k', 'by', 'removing', 'a', 'set', 'of', 'edges', 'of', 'size', 'at', 'most', 'epsilonvg', 'we', 'presently', 'extend', 'this', 'notion', 'to', 'a', 'certain', 'compactification', 'of', 'finite', 'boundeddegree', 'graphs', 'and', 'show', 'that', 'if', 'a', 'sequence', 'of', 'finite', 'graphs', 'converges', 'to', 'a', 'hyperfinite', 'limit', 'then', 'the', 'sequence', 'itself', 'is', 'hyperfinite']] | [-0.1613156372507991, 0.18893508538387196, -0.07132478923060347, 0.005657919815221671, -0.10368756425761899, -0.11673058773022751, 0.04553718369746537, 0.37602175538276517, -0.3338457092041756, -0.2122367578423257, 0.10675934179507326, -0.3181660987090233, -0.11132035404173007, 0.14854907650543853, -0.12890064484591401, -0.0254249325628544, 0.10625599043140578, 0.11795311098441828, -0.0016427187351943102, -0.24739458165361633, 0.345728003674425, -0.07612522274558974, 0.17847633431124132, 0.06668714145848224, 0.10372761786281846, 0.0055598405157324185, 0.012148882397775387, 0.10643244415608256, -0.13097780642487503, 0.07382691030520512, 0.2957144999540909, 0.16347466296581334, 0.3271523910293052, -0.2983310762613465, -0.175145466714491, 0.23985335338037722, 0.12463958840817213, 0.047297291798777015, -0.0012588170790221803, -0.22380022923895265, 0.21116844441221896, -0.15362690264348286, -0.093488646216344, -0.0067480048218871965, 0.10615504629433502, -0.011374847573596377, -0.2735451320836017, -0.07071435677840612, 0.15403151869513962, 0.05383038342129006, 0.04509052153958311, -0.07573684602217792, -0.043486323822181414, 0.10017138664870588, -0.05805498698109025, 0.06628567265714844, 0.07536215102232365, -0.07169097579398387, -0.11087115130625493, 0.3802379410961632, -0.06068199801496988, -0.18291632187292847, 0.1165369677595621, -0.1476022903211848, -0.22056690285112276, 0.13367062794629397, 0.08548006094818891, 0.1343048196285963, -0.09565421173262388, 0.1693369723568118, -0.14551346533563594, 0.1655436694665357, 0.13384024026738697, 0.008350403665370026, 0.1194780132365088, 0.17886753872762498, 0.16817167199778216, 0.18156422522909896, 0.04636155369388329, 0.040715700979236255, -0.3526562798205157, -0.11086741338895503, -0.25606079132642684, 0.11851248585857278, -0.19701334414512953, -0.22937587011865404, 0.3750933075626922, 0.08800310599834246, 0.22665254169598567, 0.1288377352080546, 0.2088199196042233, 0.06207944417448828, 0.07845700050834133, 0.1790471482577972, 0.0625277809804809, 0.1806860831769205, -0.08527536510468223, -0.14824945116307325, 0.03615233703884621, 0.17941387781201926] |
711.3809 | Dynamical Constraints on the Local Group from the CMB and 2MRS Dipoles | We place constraints on the dynamics of the Local Group (LG) by comparing the
dipole of the Cosmic Microwave Background (CMB) with the peculiar velocity
induced by the 2MRS galaxy sample. The analysis is limited by the lack of
surveyed galaxies behind the Zone of Avoidance (ZoA). We therefore allow for a
component of the LG velocity due to unknown mass concentrations behind the ZoA,
as well as for an unknown transverse velocity of the Milky Way relative to the
Andromeda galaxy. We infer extra motion along the direction of the Galactic
center (where Galactic confusion and dust obscuration peaks) at the 95%
significance level. With a future survey of the ZoA it might be possible to
constrain the transverse velocity of the Milky Way relative to Andromeda.
| astro-ph | we place constraints on the dynamics of the local group lg by comparing the dipole of the cosmic microwave background cmb with the peculiar velocity induced by the 2mrs galaxy sample the analysis is limited by the lack of surveyed galaxies behind the zone of avoidance zoa we therefore allow for a component of the lg velocity due to unknown mass concentrations behind the zoa as well as for an unknown transverse velocity of the milky way relative to the andromeda galaxy we infer extra motion along the direction of the galactic center where galactic confusion and dust obscuration peaks at the 95 significance level with a future survey of the zoa it might be possible to constrain the transverse velocity of the milky way relative to andromeda | [['we', 'place', 'constraints', 'on', 'the', 'dynamics', 'of', 'the', 'local', 'group', 'lg', 'by', 'comparing', 'the', 'dipole', 'of', 'the', 'cosmic', 'microwave', 'background', 'cmb', 'with', 'the', 'peculiar', 'velocity', 'induced', 'by', 'the', '2mrs', 'galaxy', 'sample', 'the', 'analysis', 'is', 'limited', 'by', 'the', 'lack', 'of', 'surveyed', 'galaxies', 'behind', 'the', 'zone', 'of', 'avoidance', 'zoa', 'we', 'therefore', 'allow', 'for', 'a', 'component', 'of', 'the', 'lg', 'velocity', 'due', 'to', 'unknown', 'mass', 'concentrations', 'behind', 'the', 'zoa', 'as', 'well', 'as', 'for', 'an', 'unknown', 'transverse', 'velocity', 'of', 'the', 'milky', 'way', 'relative', 'to', 'the', 'andromeda', 'galaxy', 'we', 'infer', 'extra', 'motion', 'along', 'the', 'direction', 'of', 'the', 'galactic', 'center', 'where', 'galactic', 'confusion', 'and', 'dust', 'obscuration', 'peaks', 'at', 'the', '95', 'significance', 'level', 'with', 'a', 'future', 'survey', 'of', 'the', 'zoa', 'it', 'might', 'be', 'possible', 'to', 'constrain', 'the', 'transverse', 'velocity', 'of', 'the', 'milky', 'way', 'relative', 'to', 'andromeda']] | [-0.08378710070974194, 0.061917856433069574, -0.06940260908231721, 0.07605970869644807, -0.16681232230257592, 0.025571741971361917, 0.03783462063256593, 0.3747936347790528, -0.22929591890715528, -0.3465207593580999, 0.022926892608666094, -0.26135971036819683, 0.0029077025246806443, 0.18230542814126238, -0.009468407981330529, -0.021252716564958973, -0.02025359953768202, -0.025792542155613774, -0.00017534623520987225, -0.24633646389884234, 0.2985469045906939, 0.14362765871555894, 0.20683049396029674, -0.036810216386584216, 0.1289231727278093, -0.05218091274582548, -0.10373777557106223, -0.005135375960890087, -0.13820153938991098, 0.0737575867005944, 0.20616995534510352, 0.11816346969499136, 0.20321972341480432, -0.36828410776041665, -0.18520421544053534, 0.1037682633887016, 0.2230640528277945, 0.10579534033240634, -0.05774432300586341, -0.33817904227180406, 0.06377895267019085, -0.1293581111895037, -0.2577002778161841, 0.07605540281110734, 0.019047906762352795, 0.0365355897374684, -0.17048298681947927, 0.153618817224924, 0.04222363865267198, 0.11031020383961732, -0.06850384481367655, -0.08587316898046993, -0.06710990251121984, 0.08754597235747497, 0.0555956485986826, 0.08998271121640755, 0.227731726521597, -0.15210382205623318, -0.02314037739051855, 0.45635455317096785, -0.07212550746498891, -0.04955114115955439, 0.16177581210286007, -0.22251175868223072, -0.1529710990471358, 0.08781293292940973, 0.17646867914254472, 0.049985630950686755, -0.16256760366741219, 0.0743024807720758, -0.01721342120981717, 0.15107252221059753, 0.07396434101974592, 0.03490874157091639, 0.3338655349070905, 0.07772919556373381, 0.1406075427239557, 0.0516738787837312, -0.28489547937169846, -0.021910288418894197, -0.2925002804331598, -0.09671838543727063, -0.14051031754206633, 0.03707214124096936, -0.1322936108443855, -0.09710154828280793, 0.3798131741787074, 0.15618960859137587, 0.2892754596341547, 0.024131085236149374, 0.354339062316285, 0.04262527726859844, 0.10881540797709022, 0.08050625471878448, 0.32126362186318147, 0.18662907458019617, 0.04444101658282307, -0.2768893143065725, 0.09103804185724584, -0.014688044244394405] |
711.381 | On a stabilized warped brane world without Planck brane | We discuss a stabilized brane world model with two branes, admitting the
solution to the hierarchy problem due to the warped extra dimension and
possessing a remarkable feature: the strength of gravitational interaction is
of the same order on both branes, contrary to the case of the Randall-Sundrum
model with a hierarchical difference of gravitational strength on the branes.
The solution also admits the existence of two branes with an equal strength of
gravitational interaction, which is of interest for treating the matter on the
"mirror" brane as dark matter.
| hep-th | we discuss a stabilized brane world model with two branes admitting the solution to the hierarchy problem due to the warped extra dimension and possessing a remarkable feature the strength of gravitational interaction is of the same order on both branes contrary to the case of the randallsundrum model with a hierarchical difference of gravitational strength on the branes the solution also admits the existence of two branes with an equal strength of gravitational interaction which is of interest for treating the matter on the mirror brane as dark matter | [['we', 'discuss', 'a', 'stabilized', 'brane', 'world', 'model', 'with', 'two', 'branes', 'admitting', 'the', 'solution', 'to', 'the', 'hierarchy', 'problem', 'due', 'to', 'the', 'warped', 'extra', 'dimension', 'and', 'possessing', 'a', 'remarkable', 'feature', 'the', 'strength', 'of', 'gravitational', 'interaction', 'is', 'of', 'the', 'same', 'order', 'on', 'both', 'branes', 'contrary', 'to', 'the', 'case', 'of', 'the', 'randallsundrum', 'model', 'with', 'a', 'hierarchical', 'difference', 'of', 'gravitational', 'strength', 'on', 'the', 'branes', 'the', 'solution', 'also', 'admits', 'the', 'existence', 'of', 'two', 'branes', 'with', 'an', 'equal', 'strength', 'of', 'gravitational', 'interaction', 'which', 'is', 'of', 'interest', 'for', 'treating', 'the', 'matter', 'on', 'the', 'mirror', 'brane', 'as', 'dark', 'matter']] | [-0.17601251430395576, 0.11125581546107746, -0.053681042759368816, 0.08684954267874774, -0.11235801223148074, -0.14960986856474645, -0.042980801541772154, 0.26689919088449743, -0.1951401463916732, -0.2963322829455137, 0.07664619861946752, -0.2792456666007638, -0.10655965043438806, 0.10887067511988183, -0.0067597051358057395, -0.026882977784973467, -0.030771045174656644, 0.07876801130672297, -0.0484734777154194, -0.252452291149853, 0.42835172245071995, 0.02310231185207764, 0.2610019939434197, 0.06463462623715814, 0.14831964195085068, -0.040428832835621306, 0.03502285038250395, 0.014961727956930796, -0.0995026409600137, 0.12026793495105166, 0.14375188861999455, 0.060255325293271905, 0.1567951226218914, -0.4322028058477574, -0.20798555727427204, 0.14863405552589232, 0.15909837847575545, 0.1605667275415423, -0.04164253607676882, -0.3172681297874078, 0.062202414896132215, -0.18717138868653113, -0.16226660053556163, 0.00048558790133231217, 0.02132733031693432, -0.05265300835793217, -0.25185159286742825, 0.049442085434566255, 0.04729832899239328, -0.02938812452678879, -0.10614991369139817, -0.05902271009464231, -0.07623703155097449, 0.04214165442907769, 0.1812457381670053, 0.04068789996413721, 0.11228086207475928, -0.1878910846891813, -0.11125094794875218, 0.4102783163595531, -0.1299445390662489, -0.2659085965611868, 0.21206946793115802, -0.10045476090162993, -0.06512011983949277, 0.0867366547230631, 0.12313370429393318, 0.1403961607720703, -0.07230552634638217, 0.1791986063530203, -0.019529830012470484, 0.18269751785426505, 0.1036588370696538, 0.06014988996450686, 0.3078742825697797, 0.1937810919040607, 0.08514383231910566, 0.15402091389728917, -0.08858805195583651, -0.13001631957789261, -0.3692643115089999, -0.11045009803751277, -0.14146990166563128, 0.04377765854199727, -0.18869715908319146, -0.18425030405633153, 0.3946439935515324, 0.08051739160178437, 0.20555246455801857, 0.018407772917352204, 0.23523458840532435, 0.054323860695068206, 0.035787917611499624, 0.007628994352287716, 0.32176994546833965, 0.1345686542180677, 0.09220871588525673, -0.25033947322517636, -0.049306117515597075, 0.11272908420198494] |
711.3811 | A small cosmological constant from the modified Brans-Dicke theory - an
interplay between different energy scales | In this paper we discuss a model in which the energy density, corresponding
to the effective cosmological constant, after the $SU(2)\times U(1)$ symmetry
breaking appears to be of the desired order of $10^{-48}\div 10^{-47} GeV^{4}$.
The model contain two different energy scales, one of which is associated with
the Higgs's vacuum expectation value. Another scale is of the order of
$10^{21}GeV$ and defines the vacuum expectation value of the Brans-Dicke scalar
field, non-minimally coupled to gravity, and sets the value of the Planck mass.
Other (dimensionless) parameters are assumed not to contain hierarchical
differences. The model is devoid of any fine-tuning and gives a small value of
the effective cosmological constant even if the real "bare" cosmological
constant is quite large.
| gr-qc astro-ph hep-th | in this paper we discuss a model in which the energy density corresponding to the effective cosmological constant after the su2times u1 symmetry breaking appears to be of the desired order of 1048div 1047 gev4 the model contain two different energy scales one of which is associated with the higgss vacuum expectation value another scale is of the order of 1021gev and defines the vacuum expectation value of the bransdicke scalar field nonminimally coupled to gravity and sets the value of the planck mass other dimensionless parameters are assumed not to contain hierarchical differences the model is devoid of any finetuning and gives a small value of the effective cosmological constant even if the real bare cosmological constant is quite large | [['in', 'this', 'paper', 'we', 'discuss', 'a', 'model', 'in', 'which', 'the', 'energy', 'density', 'corresponding', 'to', 'the', 'effective', 'cosmological', 'constant', 'after', 'the', 'su2times', 'u1', 'symmetry', 'breaking', 'appears', 'to', 'be', 'of', 'the', 'desired', 'order', 'of', '1048div', '1047', 'gev4', 'the', 'model', 'contain', 'two', 'different', 'energy', 'scales', 'one', 'of', 'which', 'is', 'associated', 'with', 'the', 'higgss', 'vacuum', 'expectation', 'value', 'another', 'scale', 'is', 'of', 'the', 'order', 'of', '1021gev', 'and', 'defines', 'the', 'vacuum', 'expectation', 'value', 'of', 'the', 'bransdicke', 'scalar', 'field', 'nonminimally', 'coupled', 'to', 'gravity', 'and', 'sets', 'the', 'value', 'of', 'the', 'planck', 'mass', 'other', 'dimensionless', 'parameters', 'are', 'assumed', 'not', 'to', 'contain', 'hierarchical', 'differences', 'the', 'model', 'is', 'devoid', 'of', 'any', 'finetuning', 'and', 'gives', 'a', 'small', 'value', 'of', 'the', 'effective', 'cosmological', 'constant', 'even', 'if', 'the', 'real', 'bare', 'cosmological', 'constant', 'is', 'quite', 'large']] | [-0.16851108471135132, 0.1881672902406436, -0.05055421659675967, 0.08248017989627297, -0.10776820180530683, -0.1315187196660114, -0.049208852123985646, 0.2986899808268337, -0.21706223038040853, -0.34916831443023655, 0.08403109062361304, -0.24827142367374247, -0.0444074908991446, 0.10822846409629937, 0.0009990458008872361, 0.020043499572124302, -0.032244628940967204, 0.11363774881612103, -0.07110342688803725, -0.249895505309731, 0.3701333398069842, 0.06329993734590146, 0.2281049499836038, 0.03979174599067128, 0.12101354129992019, -0.09427228898160696, 0.02411518488157572, 0.019134544599175202, -0.15736835449542694, 0.08145709279846369, 0.16228748632970602, 0.07332942716213835, 0.2409644697424995, -0.3501825403840821, -0.19077038842971444, 0.16862785526621743, 0.07690021668623413, 0.14623852585395405, -0.0026367592914890844, -0.240900146126348, 0.0766424150088755, -0.1632762431693381, -0.14494601063070303, -0.0327324346330324, -0.007562868526995871, -0.0814647183620504, -0.3138289596824789, 0.15179593485590273, -0.06224104510855023, -0.04438716353958144, -0.08755887933408044, -0.1164101122393265, -0.045968875903323166, 0.07445853507193197, 0.15504761577579937, 0.06887143498439216, 0.16190424116676627, -0.17896838638219326, -0.04229022287900614, 0.435728013828522, -0.13746447049026542, -0.19983884256270504, 0.12638456617020258, -0.14587282444821953, -0.1126422722503042, 0.12083743361584029, 0.09132597400579884, 0.09439846347947017, -0.12176036019222576, 0.1827639411149758, -0.012244214293030443, 0.21802953870951378, 0.06042529398696732, 0.02964194305241108, 0.25699587343182384, 0.12128606566595805, 0.055218514074579256, 0.06842108357633159, -0.03712852772749851, -0.12162979600653678, -0.3787848067023799, -0.12178005104367974, -0.175822208342025, 0.09872876021811962, -0.18164269941110073, -0.18556069805748573, 0.3915494557884874, 0.1752008113211819, 0.23334071481162133, 0.04811853273896923, 0.24564866365144858, 0.1324556934482911, 0.10927155123780943, 0.051879067560892646, 0.30807524266997116, 0.10594903318673185, 0.07756643317162427, -0.2390172384178438, -0.00861149757490063, 0.0413175214712015] |
711.3812 | Regulatory control and the costs and benefits of biochemical noise | Experiments in recent years have vividly demonstrated that gene expression
can be highly stochastic. How protein concentration fluctuations affect the
growth rate of a population of cells, is, however, a wide open question. We
present a mathematical model that makes it possible to quantify the effect of
protein concentration fluctuations on the growth rate of a population of
genetically identical cells. The model predicts that the population's growth
rate depends on how the growth rate of a single cell varies with protein
concentration, the variance of the protein concentration fluctuations, and the
correlation time of these fluctuations. The model also predicts that when the
average concentration of a protein is close to the value that maximizes the
growth rate, fluctuations in its concentration always reduce the growth rate.
However, when the average protein concentration deviates sufficiently from the
optimal level, fluctuations can enhance the growth rate of the population, even
when the growth rate of a cell depends linearly on the protein concentration.
The model also shows that the ensemble or population average of a quantity,
such as the average protein expression level or its variance, is in general not
equal to its time average as obtained from tracing a single cell and its
descendants. We apply our model to perform a cost-benefit analysis of gene
regulatory control. Our analysis predicts that the optimal expression level of
a gene regulatory protein is determined by the trade-off between the cost of
synthesizing the regulatory protein and the benefit of minimizing the
fluctuations in the expression of its target gene. We discuss possible
experiments that could test our predictions.
| q-bio.MN q-bio.PE | experiments in recent years have vividly demonstrated that gene expression can be highly stochastic how protein concentration fluctuations affect the growth rate of a population of cells is however a wide open question we present a mathematical model that makes it possible to quantify the effect of protein concentration fluctuations on the growth rate of a population of genetically identical cells the model predicts that the populations growth rate depends on how the growth rate of a single cell varies with protein concentration the variance of the protein concentration fluctuations and the correlation time of these fluctuations the model also predicts that when the average concentration of a protein is close to the value that maximizes the growth rate fluctuations in its concentration always reduce the growth rate however when the average protein concentration deviates sufficiently from the optimal level fluctuations can enhance the growth rate of the population even when the growth rate of a cell depends linearly on the protein concentration the model also shows that the ensemble or population average of a quantity such as the average protein expression level or its variance is in general not equal to its time average as obtained from tracing a single cell and its descendants we apply our model to perform a costbenefit analysis of gene regulatory control our analysis predicts that the optimal expression level of a gene regulatory protein is determined by the tradeoff between the cost of synthesizing the regulatory protein and the benefit of minimizing the fluctuations in the expression of its target gene we discuss possible experiments that could test our predictions | [['experiments', 'in', 'recent', 'years', 'have', 'vividly', 'demonstrated', 'that', 'gene', 'expression', 'can', 'be', 'highly', 'stochastic', 'how', 'protein', 'concentration', 'fluctuations', 'affect', 'the', 'growth', 'rate', 'of', 'a', 'population', 'of', 'cells', 'is', 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711.3813 | What can we learn from the decay of $ N_X(1625)$ in molecule picture? | Considering two molecular state assumptions, i.e. S-wave $\bar{\Lambda}-K^-$
and S-wave $\bar{\Sigma}^0-K^-$ molecular states, we study the possible decays
of $\bar N_X(1625)$ that include $\bar N_X(1625)\to K^{-}\bar{\Lambda},
\pi^{0}\bar{p}, \eta\bar{p}, \pi^{-}\bar{n}$. Our results indicate: (1) if
$\bar N_{X}(1625)$ is $\bar{\Lambda}-K^-$ molecular state, $K^{-}\bar{\Lambda}$
is the main decay modes of $\bar N_{X}(1625)$, and the branching ratios of the
rest decay modes are tiny; (2) if $\bar N_{X}(1625)$ is $\bar{\Sigma}^0-K^-$
molecular state, the branching ratio of $\bar N_{X}(1625)\to
K^{-}\bar{\Lambda}$ is one or two order smaller than that of $\bar
N_{X}(1625)\to \pi^{0}\bar{p}, \eta\bar{p}, \pi^{-}\bar{n}$. Thus the search
for $\bar N_X(1625)\to \pi^{0}\bar{p}, \eta\bar{p}, \pi^{-}\bar{n}$ will be
helpful to shed light on the nature of $\bar N_X(1625)$.
| hep-ph hep-ex nucl-ex nucl-th | considering two molecular state assumptions ie swave barlambdak and swave barsigma0k molecular states we study the possible decays of bar n_x1625 that include bar n_x1625to kbarlambda pi0barp etabarp pibarn our results indicate 1 if bar n_x1625 is barlambdak molecular state kbarlambda is the main decay modes of bar n_x1625 and the branching ratios of the rest decay modes are tiny 2 if bar n_x1625 is barsigma0k molecular state the branching ratio of bar n_x1625to kbarlambda is one or two order smaller than that of bar n_x1625to pi0barp etabarp pibarn thus the search for bar n_x1625to pi0barp etabarp pibarn will be helpful to shed light on the nature of bar n_x1625 | [['considering', 'two', 'molecular', 'state', 'assumptions', 'ie', 'swave', 'barlambdak', 'and', 'swave', 'barsigma0k', 'molecular', 'states', 'we', 'study', 'the', 'possible', 'decays', 'of', 'bar', 'n_x1625', 'that', 'include', 'bar', 'n_x1625to', 'kbarlambda', 'pi0barp', 'etabarp', 'pibarn', 'our', 'results', 'indicate', '1', 'if', 'bar', 'n_x1625', 'is', 'barlambdak', 'molecular', 'state', 'kbarlambda', 'is', 'the', 'main', 'decay', 'modes', 'of', 'bar', 'n_x1625', 'and', 'the', 'branching', 'ratios', 'of', 'the', 'rest', 'decay', 'modes', 'are', 'tiny', '2', 'if', 'bar', 'n_x1625', 'is', 'barsigma0k', 'molecular', 'state', 'the', 'branching', 'ratio', 'of', 'bar', 'n_x1625to', 'kbarlambda', 'is', 'one', 'or', 'two', 'order', 'smaller', 'than', 'that', 'of', 'bar', 'n_x1625to', 'pi0barp', 'etabarp', 'pibarn', 'thus', 'the', 'search', 'for', 'bar', 'n_x1625to', 'pi0barp', 'etabarp', 'pibarn', 'will', 'be', 'helpful', 'to', 'shed', 'light', 'on', 'the', 'nature', 'of', 'bar', 'n_x1625']] | [-0.1366459766275646, 0.1948669547068507, -0.09218284498072332, 0.0763993645173118, -0.02231644166426526, -0.14894599012202686, 0.038167152132330184, 0.2740898326177288, -0.20763000578585047, -0.1604789218421232, 0.013868463777557568, -0.30795678061743575, -0.013303142771797461, 0.10023814190989705, 0.08090417345886601, 0.01620643707725254, 0.063857426263254, -0.059876505095787624, 0.010336401970966512, -0.1700182098688351, 0.28447066582911823, -0.04563931516949432, 0.1365881465780721, 0.07889306883077586, -0.06759928789041522, -0.05876363227919986, 0.010700002355777003, -0.12913639823630177, -0.1764465003858883, 0.02062333489636701, 0.17011460599799952, 0.11675809530317094, 0.10560065138377939, -0.3612900924075533, -0.03392759683710109, 0.11789799711442794, 0.21274380385983493, 0.06159924638147155, 0.019603881643248583, -0.32050704658117696, 0.17343968517767885, -0.13430989165661028, -0.10959432843244737, -0.02166431011519981, 0.10494184373722722, -0.026094839643014386, -0.2786598976580771, 0.09886460939284276, 0.02615776488016342, 0.026502065231195755, -0.02035417036084389, -0.26230129151156656, -0.040714436441366735, 0.022115547902002517, 0.043601658168309194, 0.15383129037649337, 0.233118261792697, -0.12184234750802042, -0.103918405180728, 0.37531200611825893, -0.08542894831973374, -0.14434157504648384, 0.1794726537299101, -0.16040846373437456, -0.11866363942950826, 0.14991932101892652, 0.1402041305684381, 0.050188690389472025, -0.05484187587043615, 0.06985333158647539, -0.03804330741641698, 0.18163449634556417, 0.08444210880487743, 0.0786406957777217, 0.145954439849043, 0.1596708160445646, -0.007291472568694089, 0.05413974623338112, -0.1272919359595377, -0.07488461250829494, -0.2517212683817855, -0.17922926499266867, -0.039198439015308395, 0.08711678326923263, -0.025158659817760862, -0.04240515799891135, 0.29464633020365405, 0.017511556019868563, 0.23905943216824974, 0.02754587325465831, 0.2620497064113065, 0.024004921546697408, 0.057256882014270455, 0.10551076479842542, 0.28368311646152977, 0.18085658436434138, 0.0028481054404336545, -0.30078558275407113, 0.10232885663949505, -0.02708490437793511] |
711.3814 | Least Squares Fitting of Low-Level Gamma-ray Spectra with B-Spline Basis
Functions | In this paper, new methods for smoothing gamma-ray spectra measured by NaI
detector are derived. Least squares fitting method with B-spline basis
functions is used to reduce the influence of statistical fluctuations. The
derived procedures are simple and automatic. The results show that this method
is better than traditional method with a more complete reduction of staistical
fluctuation.
| math.SP | in this paper new methods for smoothing gammaray spectra measured by nai detector are derived least squares fitting method with bspline basis functions is used to reduce the influence of statistical fluctuations the derived procedures are simple and automatic the results show that this method is better than traditional method with a more complete reduction of staistical fluctuation | [['in', 'this', 'paper', 'new', 'methods', 'for', 'smoothing', 'gammaray', 'spectra', 'measured', 'by', 'nai', 'detector', 'are', 'derived', 'least', 'squares', 'fitting', 'method', 'with', 'bspline', 'basis', 'functions', 'is', 'used', 'to', 'reduce', 'the', 'influence', 'of', 'statistical', 'fluctuations', 'the', 'derived', 'procedures', 'are', 'simple', 'and', 'automatic', 'the', 'results', 'show', 'that', 'this', 'method', 'is', 'better', 'than', 'traditional', 'method', 'with', 'a', 'more', 'complete', 'reduction', 'of', 'staistical', 'fluctuation']] | [0.025472481843296504, 0.014082273680782109, -0.1394486289079252, 0.11793621198127144, -0.06011771552852894, -0.1514648827479074, -0.02435327899487068, 0.41196160972641227, -0.2168495092385759, -0.3162558490181701, 0.06824224619317408, -0.2915328082612209, -0.14288712747133614, 0.26836382240269396, -0.06644520895522937, 0.08199149981271803, 0.09395604094555765, -0.03999554529263262, -0.13831434974226317, -0.28543779164095195, 0.2689597286904852, 0.0939605327551825, 0.3094958182620375, -0.016473486398657162, 0.07979875422295249, -0.001899387172766422, -0.10631056303942674, 0.038663384962108055, -0.12564768722720482, 0.1975470905911112, 0.23297427521136246, 0.13160179797233196, 0.24346073514275385, -0.36174066781409475, -0.2430413338241347, 0.1215375404837623, 0.1412299648090674, 0.09864597659958363, -0.004120845896275632, -0.2447434132020071, 0.12252361039843476, -0.16192625775083638, -0.12444560686453131, -0.11585858689719125, -0.0712690643819147, 0.05108761373833802, -0.29210562657630235, 0.10915002190883745, 0.03789823227807095, 0.11945203400886896, -0.035735033697595724, -0.1872382028224437, 0.02974308072793575, 0.051997152949569, 0.01967747688391491, 0.023416586065044005, 0.09713176075826611, -0.06169025644888742, -0.11694021535661529, 0.35856760964777906, -0.0909507694838491, -0.218994427439675, 0.13639292803086472, -0.11546240667730831, -0.12827436433157377, 0.19583040126190895, 0.15868761447634092, 0.13705206423867167, -0.19823915725410507, -0.016604776389022732, 0.0019221827796284568, 0.19539623390556426, 0.02755133129590959, -9.005828025309663e-05, 0.09869159875731719, 0.19058303665900767, 0.08107545329748016, 0.10853825034287742, -0.13412290553382614, -0.004445381413557027, -0.29060982471626057, -0.10318923395192414, -0.18026744623325372, -0.051631150456766285, -0.0938653010267891, -0.1698725159492409, 0.39203811858437565, 0.1552174170910005, 0.15176139337321123, 0.07590970897785666, 0.3539862151077965, 0.16987426167255953, 0.07660007112447106, 0.059646530734505834, 0.24256883559160328, 0.11022076818258747, 0.03923771713386502, -0.1951102489327783, 0.06628518215004812, 0.11619338343377437] |
711.3815 | Optimisation of sample thickness for THz-TDS measurements | How thick should the sample be for a transmission THz-TDS measurement? Should
the sample be as thick as possible? The answer is `no'. Although more thickness
allows T-rays to interact more with bulk material, SNR rolls off with thickness
due to signal attenuation. Then, should the sample be extremely thin? Again,
the answer is `no'. A sample that is too thin renders itself nearly invisible
to T-rays, in such a way that the system can hardly sense the difference
between the sample and a free space path. So, where is the optimal boundary
between `too thick' and `too thin'? The trade-off is analysed and revealed in
this paper, where our approach is to find the optimal thickness that results in
the minimal variance of measured optical constants.
| physics.optics cond-mat.mtrl-sci | how thick should the sample be for a transmission thztds measurement should the sample be as thick as possible the answer is no although more thickness allows trays to interact more with bulk material snr rolls off with thickness due to signal attenuation then should the sample be extremely thin again the answer is no a sample that is too thin renders itself nearly invisible to trays in such a way that the system can hardly sense the difference between the sample and a free space path so where is the optimal boundary between too thick and too thin the tradeoff is analysed and revealed in this paper where our approach is to find the optimal thickness that results in the minimal variance of measured optical constants | [['how', 'thick', 'should', 'the', 'sample', 'be', 'for', 'a', 'transmission', 'thztds', 'measurement', 'should', 'the', 'sample', 'be', 'as', 'thick', 'as', 'possible', 'the', 'answer', 'is', 'no', 'although', 'more', 'thickness', 'allows', 'trays', 'to', 'interact', 'more', 'with', 'bulk', 'material', 'snr', 'rolls', 'off', 'with', 'thickness', 'due', 'to', 'signal', 'attenuation', 'then', 'should', 'the', 'sample', 'be', 'extremely', 'thin', 'again', 'the', 'answer', 'is', 'no', 'a', 'sample', 'that', 'is', 'too', 'thin', 'renders', 'itself', 'nearly', 'invisible', 'to', 'trays', 'in', 'such', 'a', 'way', 'that', 'the', 'system', 'can', 'hardly', 'sense', 'the', 'difference', 'between', 'the', 'sample', 'and', 'a', 'free', 'space', 'path', 'so', 'where', 'is', 'the', 'optimal', 'boundary', 'between', 'too', 'thick', 'and', 'too', 'thin', 'the', 'tradeoff', 'is', 'analysed', 'and', 'revealed', 'in', 'this', 'paper', 'where', 'our', 'approach', 'is', 'to', 'find', 'the', 'optimal', 'thickness', 'that', 'results', 'in', 'the', 'minimal', 'variance', 'of', 'measured', 'optical', 'constants']] | [-0.07872869718753857, 0.13950398938701025, -0.0994226337982503, 0.040907199733787925, -0.10254677267026478, -0.14011849939647153, 0.0767949972463053, 0.44957060427368273, -0.28322833000616293, -0.3267036476942498, 0.1111140340377804, -0.2828780654763966, -0.08293970145732457, 0.2250427880515088, -0.0786707433285265, 0.0009119501594072721, 0.016320795775941154, -0.013368589424080854, -0.03139369556905819, -0.2107449112658015, 0.2830772630258016, 0.08148570162405473, 0.2696500820085758, 0.020794002907570656, 0.031604586216789764, -0.06294601855755556, 0.019136378380257314, 0.06043124346655618, -0.10652986815556523, 0.06533217004602995, 0.28702705098943065, 0.0343957343835413, 0.234638103261942, -0.3941357864976625, -0.17655324888980295, 0.10229096951615799, 0.19970302280830585, 0.09854909050916358, -0.03966128074597956, -0.18350145945648158, 0.10646891762231162, -0.10607547386307416, -0.1331630948432318, -0.013296557212703106, 0.04393963708989616, -0.0701592533269853, -0.2751543531959737, 0.045358967318338904, 0.058217873892152876, 0.0004947194545419784, -0.06003580723869006, -0.061613314567815776, -0.07120586741591005, 0.1082542375844764, 0.07665977999623844, 0.043962124931281356, 0.1376475098718867, -0.10335836232837847, -0.0030409800590888605, 0.363455070740008, -0.049163994384841536, -0.18553254925865886, 0.18483683363970838, -0.17508379136043506, -0.00491531231389271, 0.15636918877112113, 0.1401547326735683, 0.115552379806548, -0.16458146596019427, 0.06945303731687792, -0.07445464245003362, 0.26299125287593816, 0.0821605538876038, 0.04907440640010292, 0.1989846808126487, 0.18805115041689668, 0.0799644835821287, 0.14331753550676674, -0.11770797804122658, -0.028187311401565038, -0.29260903973898694, -0.17564085169189322, -0.16869535301646996, 0.07154586969867466, -0.08490693585144624, -0.17001116922946544, 0.2836108526882283, 0.15022731250276658, 0.22425803369072478, 0.029969437033172668, 0.31212086608912065, 0.08418372113121982, 0.08645997856428304, 0.07898535245780165, 0.2944201443850349, 0.11476093415889567, 0.06896390158196776, -0.1882743054348242, 0.12771060143956753, -0.04086357861845277] |
711.3816 | Standard supersymmetry from a Planck-scale statistical theory | We outline three new ideas in a program to obtain standard physics, including
standard supersymmetry, from a Planck-scale statistical theory: (1) The initial
spin 1/2 bosonic fields are transformed to spin 0 fields together with their
auxiliary fields. (2) Time is defined by the progression of 3-geometries, just
as originally proposed by DeWitt. (3) The initial (D-1)-dimensional "path
integral" is converted from Euclidean to Lorentzian form by transformation of
the fields in the integrand.
| physics.gen-ph gr-qc hep-th | we outline three new ideas in a program to obtain standard physics including standard supersymmetry from a planckscale statistical theory 1 the initial spin 12 bosonic fields are transformed to spin 0 fields together with their auxiliary fields 2 time is defined by the progression of 3geometries just as originally proposed by dewitt 3 the initial d1dimensional path integral is converted from euclidean to lorentzian form by transformation of the fields in the integrand | [['we', 'outline', 'three', 'new', 'ideas', 'in', 'a', 'program', 'to', 'obtain', 'standard', 'physics', 'including', 'standard', 'supersymmetry', 'from', 'a', 'planckscale', 'statistical', 'theory', '1', 'the', 'initial', 'spin', '12', 'bosonic', 'fields', 'are', 'transformed', 'to', 'spin', '0', 'fields', 'together', 'with', 'their', 'auxiliary', 'fields', '2', 'time', 'is', 'defined', 'by', 'the', 'progression', 'of', '3geometries', 'just', 'as', 'originally', 'proposed', 'by', 'dewitt', '3', 'the', 'initial', 'd1dimensional', 'path', 'integral', 'is', 'converted', 'from', 'euclidean', 'to', 'lorentzian', 'form', 'by', 'transformation', 'of', 'the', 'fields', 'in', 'the', 'integrand']] | [-0.08808343552329854, 0.2028319144092903, -0.10382184124476201, 0.10493131761275534, -0.07674909204345297, -0.13045940286404378, -0.04221521935431991, 0.3156116395131559, -0.2618107865061107, -0.32322807755396776, 0.12537826575351427, -0.2273547353499846, -0.11405615682235441, 0.15751384080362482, -0.04277853181938062, 0.042006196252800325, -0.014313683621711223, 0.04936117252863541, -0.10304236970841885, -0.2655574142747257, 0.3518724463741622, -0.027294592705328722, 0.21186420792160002, -0.05433059479990924, 0.1387897386416994, 0.05609956318890122, -0.031719363961570164, 0.005429106021954401, -0.11231022938532201, 0.11095345985597453, 0.21122572299193693, 0.14778615771226483, 0.21755584535767902, -0.43398931823872233, -0.22057520673685782, 0.03260742008333673, 0.10634037077024176, 0.12789302306702813, -0.01680101998460265, -0.31194816968353417, 0.02163598590807335, -0.09877206033372597, -0.1579866384948931, -0.05431378902741582, 0.004840445767685368, -0.037393689080065975, -0.23912278479405655, 0.07148215815603279, 0.04271317420628022, 0.06533337497731319, -0.05179372324444655, -0.14897907946913228, -0.03242200897452799, 0.08167384319460473, 0.0532503265862328, 0.14578045294871805, 0.11207821924944182, -0.15191056578092882, -0.17896430690244242, 0.3579876251216676, -0.08659795313016386, -0.2089662798932074, 0.14699932029848364, -0.1405875330753121, -0.0803937755864919, 0.15210971646514293, 0.11166068097274448, 0.08532222714023413, -0.17575875176368533, 0.18814534339676234, 0.030697397252142027, 0.10727570195858543, 0.08903751358062632, 0.0016882751841802855, 0.20761499242714332, 0.07204801005286139, 0.03144091836529205, 0.14000612586057065, -0.04176783930774577, -0.1264933320014058, -0.3705299308875928, -0.17862112643952305, -0.17521434819728537, 0.1352603410093768, -0.08437737710522236, -0.1218627438301573, 0.3854426601492624, 0.10656690447767442, 0.160931158803578, 0.04502426518907619, 0.22114136442542076, 0.12234930617174737, 0.10573185441348501, 0.040904980495798625, 0.21485918393119466, 0.1658512886355606, 0.07807370054069906, -0.1527476612402982, -0.10538000420893769, 0.12230707277745209] |
711.3817 | Determination of Charm Hadronic Branching Fractions at CLEO-c | Recent results from CLEO-c on measurements of absolute hadronic branching
fractions of D0, D+, and Ds+ mesons are presented.
| hep-ex | recent results from cleoc on measurements of absolute hadronic branching fractions of d0 d and ds mesons are presented | [['recent', 'results', 'from', 'cleoc', 'on', 'measurements', 'of', 'absolute', 'hadronic', 'branching', 'fractions', 'of', 'd0', 'd', 'and', 'ds', 'mesons', 'are', 'presented']] | [-0.036599671409931034, 0.27685947404978306, -0.12329210693898954, -0.013460339096031691, -0.01362216933385322, -0.09529631212353706, 0.12381917463713571, 0.2916767278097962, -0.10581879709896289, -0.1929676800378059, -0.0288933758672915, -0.4845205849330676, 0.09357387111767342, 0.17727753382764364, 0.08621231799847201, 0.2352391139751202, 0.21684983171718686, 0.020396892373499117, -0.07274650571573722, -0.22055528744270927, 0.1949612890419207, -0.07216854962079149, 0.16377981085526316, 0.1431199962175206, -0.05476170758667745, -0.03251820939936136, -0.22394494614318797, -0.008293162149034049, -0.2495936485693643, 0.08784822884358857, 0.23741810798252883, 0.1857966668781285, -0.020696140433612623, -0.2952058366254756, 0.053862796165049076, 0.17081420241217865, 0.12235632874561768, 0.06874910011691482, -0.0003424331754151928, -0.45703749613542305, 0.19622443444830806, -0.13121049718833283, 0.002910551468008443, -0.0849158115881054, 0.12206313759088516, -0.05239660704606458, -0.3154417941052663, 0.12766347639262676, -0.13607823843822667, 0.10475220286140316, -0.0811106571192412, -0.4665727893772878, 0.0019506866014317463, -0.051061721910771574, 0.09638442594165865, 0.11939180000244003, 0.21724659439764524, -0.11886173922960695, -0.2824107856538735, 0.3201768897277744, -0.05811369242636781, -0.1341820564121008, 0.21685022561761894, -0.29614823203729956, -0.13352531581921012, 0.20708353327293144, 0.32055091196180957, 0.03341198300844744, -0.17977017237755813, 0.15677209423646624, -0.05806166198300688, 0.14787087256186887, 0.09066087181532853, 0.1376539511900199, 0.08221242625854518, 0.20201958108105159, -0.14756319250323272, -0.03301889992221013, -0.007123444756296904, -0.02104212578974272, -0.46361015572237146, -0.11604097887481514, -0.07859647156376588, 0.13691303133964539, -0.053680000409306226, 0.025095343393714803, 0.27919984898088795, -0.07737467428179164, 0.39850947054985325, 0.0220443137774342, 0.2932852726233633, 0.009476140821597687, -0.06331396867570124, 0.014563695576630141, 0.361371564237695, 0.3158522539919144, 0.19645035896744384, -0.3134159283393896, 0.034014737680799476, 0.0641170627388515] |
711.3818 | Quenched CLT for random toral automorphism | We establish a quenched Central Limit Theorem (CLT) for a smooth observable
of random sequences of iterated linear hyperbolic maps on the torus. To this
end we also obtain an annealed CLT for the same system. We show that, almost
surely, the variance of the quenched system is the same as for the annealed
system. Our technique is the study of the transfer operator on an anisotropic
Banach space specifically tailored to use the cone condition satisfied by the
maps.
| math.DS math.PR | we establish a quenched central limit theorem clt for a smooth observable of random sequences of iterated linear hyperbolic maps on the torus to this end we also obtain an annealed clt for the same system we show that almost surely the variance of the quenched system is the same as for the annealed system our technique is the study of the transfer operator on an anisotropic banach space specifically tailored to use the cone condition satisfied by the maps | [['we', 'establish', 'a', 'quenched', 'central', 'limit', 'theorem', 'clt', 'for', 'a', 'smooth', 'observable', 'of', 'random', 'sequences', 'of', 'iterated', 'linear', 'hyperbolic', 'maps', 'on', 'the', 'torus', 'to', 'this', 'end', 'we', 'also', 'obtain', 'an', 'annealed', 'clt', 'for', 'the', 'same', 'system', 'we', 'show', 'that', 'almost', 'surely', 'the', 'variance', 'of', 'the', 'quenched', 'system', 'is', 'the', 'same', 'as', 'for', 'the', 'annealed', 'system', 'our', 'technique', 'is', 'the', 'study', 'of', 'the', 'transfer', 'operator', 'on', 'an', 'anisotropic', 'banach', 'space', 'specifically', 'tailored', 'to', 'use', 'the', 'cone', 'condition', 'satisfied', 'by', 'the', 'maps']] | [-0.12339552517805714, 0.09618690927309217, -0.12232735825236887, 0.11717894704343053, 0.03542704910505563, -0.08945952890499029, 0.04773499852017267, 0.3792987706605345, -0.29417805057019, -0.16293638842180372, 0.1504265737545211, -0.254200269310968, -0.13020877540111542, 0.20733874404104427, -0.09008358244900591, 0.0682694741524756, 0.05496433887747117, 0.035569863769342194, -0.08435232086048927, -0.26720807513047473, 0.38703154590912164, 0.02271278257248923, 0.26763284277403726, 0.019611552196147387, 0.13352050291141496, 0.08212126627040561, 0.01670409313519485, 0.003761188714634045, -0.15480909812367827, 0.11278661711403401, 0.17229042630642652, 0.03364338398678228, 0.26899997241271195, -0.34952102139941416, -0.16849318486638368, 0.14231442502932623, 0.11970358913531527, 0.06964332940988242, -0.03452723172667902, -0.26340394977014514, 0.118630513001699, -0.11679125039372593, -0.20335758536239154, -0.0636698636924848, -0.03724617509869858, 0.040800362642039546, -0.32340049343183636, 0.04715888233295118, 0.17611474555451423, 0.05611371773993597, -0.0643840038581402, -0.04604193825653056, -0.044440078487969006, 0.1648340674233623, 0.0018586801743367687, 0.020729031981318258, 0.13688050388591363, -0.06094912633707281, -0.07507584653940284, 0.3297077751485631, -0.12330704966152553, -0.18404906855430453, 0.16194150841329247, -0.18875549637014047, -0.1919883394934004, 0.0864052253193222, 0.17528340625576674, 0.1507189135765657, -0.1738451930345036, 0.12145971056306734, -0.10285848207131494, 0.14847768136387457, 0.04165325121721253, 0.0012692796415649354, 0.1154123919608537, 0.13702460014028475, 0.17607913579049636, 0.204324839473702, -0.038547437766101214, -0.08080437358003109, -0.31251549075823276, -0.1800336901564151, -0.24229866726091132, 0.12175473078386859, -0.1629826717369724, -0.2092012394685298, 0.32249218972283417, 0.15203076347825117, 0.19050752081093378, 0.1597841413484275, 0.23165448363870383, 0.18864738142947318, 0.02512510591914179, 0.06749600698240102, 0.19050770248286425, 0.17138244263187516, 0.10452906361315399, -0.16555008004943375, 0.01670316345989704, 0.13936715199379252] |
711.3819 | A spectroscopic study of southern (candidate) gamma Doradus stars. II.
Detailed abundance analysis and fundamental parameters | The gamma Doradus stars are a recent class of variable main sequence F-type
stars located on the red edge of the Cepheid instability strip. They pulsate in
gravity modes, and this makes them particularly interesting for detailed
asteroseismic analysis, which can provide fundamental knowledge of properties
near the convective cores of intermediate-mass main sequence stars. To improve
current understanding of gamma Dor stars through theoretical modelling,
additional constraints are needed. Our aim is to estimate the fundamental
atmospheric parameters and determine the chemical composition of these stars.
Detailed analyses of single stars have previously suggested links to Am and
lambda Bootis stars, so we wish to explore this interesting connection between
chemical peculiarity and pulsation. We have analysed a sample of gamma Dor
stars for the first time, including nine bona fide and three candidate members
of the class. We determined the fundamental atmospheric parameters and compared
the abundance pattern with other A-type stars. We used the semi-automatic
software package VWA for the analysis. This code relies on the calculation of
synthetic spectra and thus takes line-blending into account. This is important
because of the fast rotation in some of the sample stars, and we made a
thorough analysis of how VWA performs when increasing vsini. We obtained good
results in agreement with previously derived fundamental parameters and
abundances in a few selected reference stars with properties similar to the
gamma Dor stars. We find that the abundance pattern in the gamma Dor stars is
not distinct from the constant A- and F-type stars we analysed.
| astro-ph | the gamma doradus stars are a recent class of variable main sequence ftype stars located on the red edge of the cepheid instability strip they pulsate in gravity modes and this makes them particularly interesting for detailed asteroseismic analysis which can provide fundamental knowledge of properties near the convective cores of intermediatemass main sequence stars to improve current understanding of gamma dor stars through theoretical modelling additional constraints are needed our aim is to estimate the fundamental atmospheric parameters and determine the chemical composition of these stars detailed analyses of single stars have previously suggested links to am and lambda bootis stars so we wish to explore this interesting connection between chemical peculiarity and pulsation we have analysed a sample of gamma dor stars for the first time including nine bona fide and three candidate members of the class we determined the fundamental atmospheric parameters and compared the abundance pattern with other atype stars we used the semiautomatic software package vwa for the analysis this code relies on the calculation of synthetic spectra and thus takes lineblending into account this is important because of the fast rotation in some of the sample stars and we made a thorough analysis of how vwa performs when increasing vsini we obtained good results in agreement with previously derived fundamental parameters and abundances in a few selected reference stars with properties similar to the gamma dor stars we find that the abundance pattern in the gamma dor stars is not distinct from the constant a and ftype stars we analysed | [['the', 'gamma', 'doradus', 'stars', 'are', 'a', 'recent', 'class', 'of', 'variable', 'main', 'sequence', 'ftype', 'stars', 'located', 'on', 'the', 'red', 'edge', 'of', 'the', 'cepheid', 'instability', 'strip', 'they', 'pulsate', 'in', 'gravity', 'modes', 'and', 'this', 'makes', 'them', 'particularly', 'interesting', 'for', 'detailed', 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711.382 | Codimensions of Newton Strata for SL_3 in the Iwahori Case | We study the Newton stratification on SL_3(F), where F is a Laurent power
series field. We provide a formula for the codimensions of the Newton strata
inside each component of the affine Bruhat decomposition on SL_3(F). These
calculations are related to the study of certain affine Deligne-Lusztig
varieties. In particular, we describe a method for determining which of these
varieties is non-empty in the case of SL_3(F).
| math.AG | we study the newton stratification on sl_3f where f is a laurent power series field we provide a formula for the codimensions of the newton strata inside each component of the affine bruhat decomposition on sl_3f these calculations are related to the study of certain affine delignelusztig varieties in particular we describe a method for determining which of these varieties is nonempty in the case of sl_3f | [['we', 'study', 'the', 'newton', 'stratification', 'on', 'sl_3f', 'where', 'f', 'is', 'a', 'laurent', 'power', 'series', 'field', 'we', 'provide', 'a', 'formula', 'for', 'the', 'codimensions', 'of', 'the', 'newton', 'strata', 'inside', 'each', 'component', 'of', 'the', 'affine', 'bruhat', 'decomposition', 'on', 'sl_3f', 'these', 'calculations', 'are', 'related', 'to', 'the', 'study', 'of', 'certain', 'affine', 'delignelusztig', 'varieties', 'in', 'particular', 'we', 'describe', 'a', 'method', 'for', 'determining', 'which', 'of', 'these', 'varieties', 'is', 'nonempty', 'in', 'the', 'case', 'of', 'sl_3f']] | [-0.19925847464699797, 0.0063530324798410955, -0.1065513641337183, 0.021465932022529974, -0.07850436754385705, -0.09971770015197681, -0.005929479472783964, 0.30109156908662016, -0.3187528610118289, -0.1510608294533927, 0.12063399391290523, -0.2168108549858652, -0.1630078273644643, 0.23575835921732125, -0.15076476217372647, -0.04487866806839384, 0.004664388980832448, 0.08454685349324927, -0.0742760451732954, -0.32366383426002604, 0.4098924695611445, -0.04008059937562516, 0.2395126901344577, 0.03746672753077834, 0.10269233112487552, -0.003230710472188779, -0.025075114040232417, 0.02267664960592485, -0.1631861309757206, 0.1647173795195769, 0.3176286602531796, 0.0906461511682997, 0.22602086676868485, -0.3834461451355201, -0.10706607434453803, 0.17612456288466702, 0.11843095188126412, 0.038559960053691555, 0.007527995361154204, -0.1735693356821508, 0.07950674335180379, -0.14260046897150241, -0.1859196977022646, -0.09377940790727735, 0.02012486371677369, 0.07433787946686593, -0.25841945737475225, -0.02044346608888747, 0.07269280070244376, 0.1478777485994106, -0.10374945982484453, -0.13629416721775683, -0.021595109233271275, 0.05222858155125391, -0.015906801662727524, 0.01761283842957954, 0.08609356189063236, -0.10444868181540228, -0.08307645499007776, 0.38135077643083104, -0.035676788696810714, -0.21227278826243953, 0.10395180331126078, -0.20674069571906506, -0.2085206437119241, 0.10730149777633931, 0.16692168051515943, 0.1616387007577317, -0.023250032119008144, 0.15603198769238236, -0.129898923602122, 0.0036578935279107804, 0.10297461984498399, -0.046348565119082356, 0.15185757870646888, 0.0933215698998755, 0.034258142516795376, 0.149188933947902, -0.05674604805353195, -0.050604655810478905, -0.368552063702981, -0.2155190356381571, -0.10199673925248433, 0.08820184570417475, -0.13980734183578125, -0.22361165946766512, 0.4282392129969241, 0.07418537526321944, 0.19466192792378254, 0.07391754012561834, 0.24260405104940952, 0.11905810990329109, 0.03927265521861724, 0.01857388565845009, 0.14056778006922843, 0.22376624430849482, -0.05223019270976977, -0.21715302892557498, 0.013337605153279962, 0.2458137092458557] |
711.3821 | Unique ergodicity of circle and interval exchange transformations with
flips | We study the existence of transitive exchange maps with flips defined on the
unit circle. We provide a complete answer to the question of whether there
exists a transitive exchange map of the unit circle defined on n subintervals
and having f flips.
| math.DS | we study the existence of transitive exchange maps with flips defined on the unit circle we provide a complete answer to the question of whether there exists a transitive exchange map of the unit circle defined on n subintervals and having f flips | [['we', 'study', 'the', 'existence', 'of', 'transitive', 'exchange', 'maps', 'with', 'flips', 'defined', 'on', 'the', 'unit', 'circle', 'we', 'provide', 'a', 'complete', 'answer', 'to', 'the', 'question', 'of', 'whether', 'there', 'exists', 'a', 'transitive', 'exchange', 'map', 'of', 'the', 'unit', 'circle', 'defined', 'on', 'n', 'subintervals', 'and', 'having', 'f', 'flips']] | [-0.26764191212782334, 0.07629963420981238, 0.011742608665033828, 0.051998181398524794, -0.055861381683931795, -0.14429532270878553, 0.1506575911933946, 0.38667111293694306, -0.30433391103910845, -0.22992219576655432, 0.09650921537865732, -0.3562265190100947, -0.10466432652089658, 0.15430076689551434, -0.07805044784448868, -0.05202030364510625, 0.0388382607204623, 0.11423679542535548, -0.07846949394619049, -0.32300966485609234, 0.34142208558528925, -0.047544097950205554, 0.15858243132919767, 0.08961166502084843, 0.20581932261932728, 0.06693941590289564, -0.03592496979873368, -0.0035265055593363074, -0.22906166323742203, 0.10851794468282266, 0.16853812232960103, 0.13380377282670072, 0.23989992692720058, -0.37466540880674537, -0.12034234870225191, 0.22751237053510753, 0.08800629634670047, -0.0378146224200379, -0.05284608448422406, -0.2007243939090607, 0.07346608095564121, -0.058449245079658756, -0.10677421786064326, -0.05553786846440892, 0.08788129485883685, 0.0026829226083273806, -0.2509321895709565, -0.020877988638118083, 0.19963311845826548, 0.13332730505702106, -0.01956383834138166, 0.006245027577807737, -0.08688205562878487, 0.21913270344741123, -0.020299664118346997, 0.16447646976015423, 0.0873501637604001, 0.011560074844245994, -0.1492294707703729, 0.37692240885523864, -0.08388369591083637, -0.29402931337786276, 0.12057856669606165, -0.18314983563627615, -0.1559992139119395, 0.053082977464899074, 0.11526975936667863, 0.11466075705234395, -0.03236515280725651, 0.15984599225001064, -0.17586322774200938, 0.17358507510534552, 0.11604083253633837, -0.032404938247054815, 0.2308609611408915, 0.10876670674702456, 0.19007518900515036, 0.1589041163408479, 0.015334935848016379, -0.0841405235534144, -0.3049993876281173, -0.08573020989248573, -0.1508388543977987, 0.15647648205590803, -0.0597555903216342, -0.2594823966365914, 0.3905106916330581, 0.07605354382309976, 0.2699764844809854, 0.07793696991406208, 0.1985534001439593, 0.08197736432559269, 0.05041525339664415, 0.07794829198094301, 0.0637789394619853, 0.17188949369673812, -0.05686824744957131, -0.18100592691104772, 0.005349078518879968, 0.16270843135236307] |
711.3822 | Einstein-aether gravity: theory and observational constraints | Einstein-aether theory is general relativity coupled to a dynamical unit
timelike vector field. A brief review of current theoretical understanding and
observational constraints on the four coupling parameters of the theory is
given.
| gr-qc astro-ph hep-ph hep-th | einsteinaether theory is general relativity coupled to a dynamical unit timelike vector field a brief review of current theoretical understanding and observational constraints on the four coupling parameters of the theory is given | [['einsteinaether', 'theory', 'is', 'general', 'relativity', 'coupled', 'to', 'a', 'dynamical', 'unit', 'timelike', 'vector', 'field', 'a', 'brief', 'review', 'of', 'current', 'theoretical', 'understanding', 'and', 'observational', 'constraints', 'on', 'the', 'four', 'coupling', 'parameters', 'of', 'the', 'theory', 'is', 'given']] | [-0.2179584042310263, 0.1336116556529746, -0.044042754523230324, 0.08513375431666094, -0.19983879265121438, -0.1539566544145628, -0.0129143464534233, 0.2682453830352505, -0.2018130509126367, -0.2646162730613441, 0.07390263930640438, -0.2660032707040734, -0.1600702650788607, 0.16850664664172765, -0.027876832917558426, 0.04237454836115693, 0.031636419677824684, 0.1072744196563056, -0.11552881009199402, -0.2475632004665606, 0.3334265868743938, 0.04955531322312626, 0.2687227248909149, 0.053888411543360264, 0.08297645134117568, 0.019843565300107002, -0.06152761688060833, 0.06545704270176815, -0.19662301744701285, 0.12010337734086947, 0.17518726518998542, 0.19434731994106463, 0.26147153332942363, -0.48245959446737263, -0.2713397771232959, -0.021178575006849838, 0.05061659710763982, 0.1434425279272325, -0.06997817381158132, -0.24091399788404955, -0.025275350012110943, -0.1446593211907329, -0.1523155840960416, -0.06610320117606809, 0.023923312373826222, -0.04859403942034326, -0.26217350352442625, 0.04522879955104806, 0.003104163230587305, 0.07761270338387201, -0.13854153922787218, -0.06386864317270617, 0.022215812579926216, 0.024654242520531017, 0.11271490680166718, 0.15312077655372294, 0.13340606156623724, -0.15250283695588057, -0.13028409911996938, 0.4082103922511592, -0.0987396805624788, -0.22735641016201538, 0.1448201440789765, -0.1689420621842146, -0.17204494593721448, 0.012816678393970837, 0.18017118268956742, 0.12927080075623412, -0.18951771059779055, 0.19258611993405572, -0.022557580504905094, 0.12757730280811136, -0.03173197788948363, 0.04267085421385921, 0.3401554787362164, 0.19554535076586585, -0.041115847289223566, 0.012531086125157097, 0.003850510943624558, -0.21973091107087606, -0.43673682788556273, -0.09505818775770339, -0.07554478892548518, 0.10750117598835265, -0.13987982119248377, -0.15389592165240285, 0.4372658257683118, 0.13454339201703217, 0.12454554653077414, 0.0550909543579275, 0.31327838885287446, 0.10779027101781333, -0.00794800246755282, -0.0070171228355982085, 0.33458746631037106, 0.2796339499623035, 0.035900737596393534, -0.19894460309296846, -0.06489726974431312, 0.058136927161478634] |
711.3823 | The double Subgiant Branch of NGC 1851: the role of the CNO abundance | We explore the possibility that the anomalous split in the Subgiant branch of
the galactic globular cluster NGC 1851 is due to the presence of two distinct
stellar populations with very different initial metal mixtures: a normal
alpha-enhanced component, and one characterized by strong anticorrelations
among the CNONa abundances, with a total CNO abundance increased by a factor of
two. We test this hypothesis taking into account various empirical constraints,
and conclude that the two populations should be approximately coeval, with the
same initial He-content. More high-resolution spectroscopical measurements of
heavy elements -- and in particular of the CNO sum -- for this cluster are
necessary to prove (or disprove) this scenario.
| astro-ph | we explore the possibility that the anomalous split in the subgiant branch of the galactic globular cluster ngc 1851 is due to the presence of two distinct stellar populations with very different initial metal mixtures a normal alphaenhanced component and one characterized by strong anticorrelations among the cnona abundances with a total cno abundance increased by a factor of two we test this hypothesis taking into account various empirical constraints and conclude that the two populations should be approximately coeval with the same initial hecontent more highresolution spectroscopical measurements of heavy elements and in particular of the cno sum for this cluster are necessary to prove or disprove this scenario | [['we', 'explore', 'the', 'possibility', 'that', 'the', 'anomalous', 'split', 'in', 'the', 'subgiant', 'branch', 'of', 'the', 'galactic', 'globular', 'cluster', 'ngc', '1851', 'is', 'due', 'to', 'the', 'presence', 'of', 'two', 'distinct', 'stellar', 'populations', 'with', 'very', 'different', 'initial', 'metal', 'mixtures', 'a', 'normal', 'alphaenhanced', 'component', 'and', 'one', 'characterized', 'by', 'strong', 'anticorrelations', 'among', 'the', 'cnona', 'abundances', 'with', 'a', 'total', 'cno', 'abundance', 'increased', 'by', 'a', 'factor', 'of', 'two', 'we', 'test', 'this', 'hypothesis', 'taking', 'into', 'account', 'various', 'empirical', 'constraints', 'and', 'conclude', 'that', 'the', 'two', 'populations', 'should', 'be', 'approximately', 'coeval', 'with', 'the', 'same', 'initial', 'hecontent', 'more', 'highresolution', 'spectroscopical', 'measurements', 'of', 'heavy', 'elements', 'and', 'in', 'particular', 'of', 'the', 'cno', 'sum', 'for', 'this', 'cluster', 'are', 'necessary', 'to', 'prove', 'or', 'disprove', 'this', 'scenario']] | [-0.07967548788505939, 0.17767541752829122, -0.08918787595397289, 0.09941685837778955, -0.029440265414817687, -0.0917123620133471, 0.06749739551087927, 0.39753546203495166, -0.19525067962934647, -0.35476629441997054, 0.011522734112644551, -0.2671711406918294, -0.046226681502741, 0.15043416619087235, -0.035983348547250306, -0.06404067533317133, 0.1268075594396561, -0.04873194194766223, -0.040084405447604186, -0.3002328714804399, 0.3461005737953777, -0.025903193536428136, 0.19149118242358124, -0.030816368724501463, 0.029294753464263513, -0.09088910535541833, -0.04040692289522208, 0.01372286031415703, -0.08753812363557624, 0.09075317570700421, 0.22077078549105913, 0.14131741773191875, 0.22876566644211155, -0.3984940928244673, -0.19401850391162234, 0.13292990519810433, 0.2069552698313609, 0.058373175621237776, -0.09747737794839499, -0.2518523681840492, 0.09079684631967354, -0.17539833992753828, -0.17969470097760268, 0.05675833455261287, 0.021624423260159724, 0.02240004976613259, -0.2522734712527364, 0.11595556970019269, 0.04445949605230345, 0.086517733538848, -0.1051334140143024, -0.17501129095502402, -0.03760588372984918, 0.12024967402963121, 0.057320232603511, -0.03024629906349636, 0.09761908251675777, -0.08803520673125503, -0.012659027078829774, 0.3871643108854053, -0.08720044625940127, -0.05333759372096953, 0.235809583020388, -0.18970495764883832, -0.20959167251226687, 0.0497818213584192, 0.12044664033167406, 0.0861669989952117, -0.20256206917858452, 0.0033726028466827896, -0.03300653910691585, 0.18238646163148037, 0.06721767542644515, 0.016391918799036755, 0.2857503521367224, 0.12383711254096018, 0.03538267082778242, 0.09894317462762664, -0.15654463385052364, -0.05749036739964824, -0.22505640849009703, -0.1367735836842875, -0.07083114698836836, 0.05572426352017653, -0.16690719600111661, -0.14981646860582293, 0.33366128299470754, 0.07651191400449484, 0.24494608742646326, -0.005470058137397153, 0.3124415395896745, 0.08721051982351911, 0.0743943110125464, 0.06500538286898251, 0.2616592285184856, 0.20613475833002717, 0.01358548433032878, -0.279986413046205, 0.12813116794178656, -0.003938212495194663] |
711.3824 | The impact of main belt asteroids on infrared--submillimetre photometry
and source counts | <<>> Among the components of the infrared and submillimetre sky background,
the closest layer is the thermal emission of dust particles and minor bodies in
the Solar System. This contribution is especially important for current and
future infrared and submillimetre space instruments --like those of Spitzer,
Akari and Herschel -- and must be characterised by a reliable statistical
model. <<>> We describe the impact of the thermal emission of main belt
asteroids on the 5...1000um photometry and source counts, for the current and
future spaceborne and ground-based instruments, in general, as well as for
specific dates and sky positions. <<>> We used the statistical asteroid model
(SAM) to calculate the positions of main belt asteroids down to a size of 1km,
and calculated their infrared and submillimetre brightness using the standard
thermal model. Fluctuation powers, confusion noise values and number counts
were derived from the fluxes of individual asteroids. <<>> We have constructed
a large database of infrared and submillimetre fluxes for SAM asteroids with a
temporal resolution of 5 days, covering the time span January 1, 2000 --
December 31, 2012. Asteroid fluctuation powers and number counts derived from
this database can be obtained for a specific observation setup via our public
web-interface. <<>> Current space instruments working in the mid-infrared
regime (Akari and Spitzer Space Telescopes) are affected by asteroid confusion
noise in some specific areas of the sky, while the photometry of space infrared
and submillimetre instruments in the near future (e.g. Herschel and Planck
Space Observatories) will not be affected by asteroids. Faint main belt
asteroids might also be responsible for most of the zodiacal emission
fluctuations near the ecliptic.
| astro-ph | among the components of the infrared and submillimetre sky background the closest layer is the thermal emission of dust particles and minor bodies in the solar system this contribution is especially important for current and future infrared and submillimetre space instruments like those of spitzer akari and herschel and must be characterised by a reliable statistical model we describe the impact of the thermal emission of main belt asteroids on the 51000um photometry and source counts for the current and future spaceborne and groundbased instruments in general as well as for specific dates and sky positions we used the statistical asteroid model sam to calculate the positions of main belt asteroids down to a size of 1km and calculated their infrared and submillimetre brightness using the standard thermal model fluctuation powers confusion noise values and number counts were derived from the fluxes of individual asteroids we have constructed a large database of infrared and submillimetre fluxes for sam asteroids with a temporal resolution of 5 days covering the time span january 1 2000 december 31 2012 asteroid fluctuation powers and number counts derived from this database can be obtained for a specific observation setup via our public webinterface current space instruments working in the midinfrared regime akari and spitzer space telescopes are affected by asteroid confusion noise in some specific areas of the sky while the photometry of space infrared and submillimetre instruments in the near future eg herschel and planck space observatories will not be affected by asteroids faint main belt asteroids might also be responsible for most of the zodiacal emission fluctuations near the ecliptic | [['among', 'the', 'components', 'of', 'the', 'infrared', 'and', 'submillimetre', 'sky', 'background', 'the', 'closest', 'layer', 'is', 'the', 'thermal', 'emission', 'of', 'dust', 'particles', 'and', 'minor', 'bodies', 'in', 'the', 'solar', 'system', 'this', 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711.3825 | Effects of a classical homogeneous gravitational field on the
cavity-field entropy and generation of the Schrodinger-cat states in the
Jaynes-Cummings model | In this paper, we examine the effects of the gravitational field on the
dynamical evolution of the cavity-field entropy and the creation of the
Schrodinger-cat state in the Jaynes-Cummings model. We consider a moving
two-level atom interacting with a single mode quantized cavity-field in the
presence of a classical homogeneous gravitational field. Based on an su(2)
algebra, as the dynamical symmetry group of the model, we derive the reduced
density operator of the cavity-field which includes the effects of the atomic
motion and the gravitational field. Also, we obtain the exact solution and the
approximate solution for the system-state vector, and examine the atomic
dynamics. By considering the temporal evolution of the cavity-field entropy as
well as the dynamics of the Q-function of the cavity-field we study the effects
of the gravitational field on the generation of the Schrodinger-cat states of
the cavity-field by using the Q-function, field entropy and approximate
solution for the system-state vector. The results show that the gravitational
field destroys the generation of the Schrodinger-cat state of the cavity-field.
| quant-ph | in this paper we examine the effects of the gravitational field on the dynamical evolution of the cavityfield entropy and the creation of the schrodingercat state in the jaynescummings model we consider a moving twolevel atom interacting with a single mode quantized cavityfield in the presence of a classical homogeneous gravitational field based on an su2 algebra as the dynamical symmetry group of the model we derive the reduced density operator of the cavityfield which includes the effects of the atomic motion and the gravitational field also we obtain the exact solution and the approximate solution for the systemstate vector and examine the atomic dynamics by considering the temporal evolution of the cavityfield entropy as well as the dynamics of the qfunction of the cavityfield we study the effects of the gravitational field on the generation of the schrodingercat states of the cavityfield by using the qfunction field entropy and approximate solution for the systemstate vector the results show that the gravitational field destroys the generation of the schrodingercat state of the cavityfield | [['in', 'this', 'paper', 'we', 'examine', 'the', 'effects', 'of', 'the', 'gravitational', 'field', 'on', 'the', 'dynamical', 'evolution', 'of', 'the', 'cavityfield', 'entropy', 'and', 'the', 'creation', 'of', 'the', 'schrodingercat', 'state', 'in', 'the', 'jaynescummings', 'model', 'we', 'consider', 'a', 'moving', 'twolevel', 'atom', 'interacting', 'with', 'a', 'single', 'mode', 'quantized', 'cavityfield', 'in', 'the', 'presence', 'of', 'a', 'classical', 'homogeneous', 'gravitational', 'field', 'based', 'on', 'an', 'su2', 'algebra', 'as', 'the', 'dynamical', 'symmetry', 'group', 'of', 'the', 'model', 'we', 'derive', 'the', 'reduced', 'density', 'operator', 'of', 'the', 'cavityfield', 'which', 'includes', 'the', 'effects', 'of', 'the', 'atomic', 'motion', 'and', 'the', 'gravitational', 'field', 'also', 'we', 'obtain', 'the', 'exact', 'solution', 'and', 'the', 'approximate', 'solution', 'for', 'the', 'systemstate', 'vector', 'and', 'examine', 'the', 'atomic', 'dynamics', 'by', 'considering', 'the', 'temporal', 'evolution', 'of', 'the', 'cavityfield', 'entropy', 'as', 'well', 'as', 'the', 'dynamics', 'of', 'the', 'qfunction', 'of', 'the', 'cavityfield', 'we', 'study', 'the', 'effects', 'of', 'the', 'gravitational', 'field', 'on', 'the', 'generation', 'of', 'the', 'schrodingercat', 'states', 'of', 'the', 'cavityfield', 'by', 'using', 'the', 'qfunction', 'field', 'entropy', 'and', 'approximate', 'solution', 'for', 'the', 'systemstate', 'vector', 'the', 'results', 'show', 'that', 'the', 'gravitational', 'field', 'destroys', 'the', 'generation', 'of', 'the', 'schrodingercat', 'state', 'of', 'the', 'cavityfield']] | [-0.1601573677916575, 0.16302235452049463, -0.07361605693451587, 0.05515486217504959, 0.00779990224716808, -0.048384290940876554, 0.022161489517617743, 0.2709917437306718, -0.2749804487826055, -0.24934863511236072, 0.08425233554299598, -0.24579372583226317, -0.12627680882854614, 0.1494017240303337, 0.0454941042833504, 0.05270359912251978, 0.012767466926419667, 0.11280783770519788, -0.06559047131998345, -0.18823427836830603, 0.38497661986533616, 0.05302374636770544, 0.28209904680900666, 0.0063264015981270745, 0.14576128304456873, 0.06652141907725939, 0.005957571873064503, 0.0021251620283361116, -0.11108683016188368, 0.09866789179131377, 0.11309522074496514, 0.11526564694402706, 0.25051289028084345, -0.4462429982733864, -0.21548103142497427, 0.07289367183138525, 0.10298015783955423, 0.18900727701569892, -0.05515501471545892, -0.34701345392605126, -0.00839889885970752, -0.17853785698931945, -0.14622252965292146, -0.04368880946146098, -0.0037963053041993712, 0.05893087368646927, -0.2539885618287876, 0.09936231790992668, 0.052855545885368345, 0.02385645950848312, -0.12615993899169425, -0.03057693803650623, -0.03234553416905591, 0.0990262624721522, 0.03331616092432893, 0.019325140114023077, 0.15624291914504432, -0.1901489180617702, -0.13515472495013234, 0.3920575051563065, -0.15401472270386454, -0.2073654356611774, 0.13606771492033207, -0.16248462763022783, -0.07364551643329549, 0.07148183241884919, 0.15519877828420758, 0.12944489875485357, -0.10179933871955454, 0.11938427444486852, -0.02183870901017197, 0.1437524413646904, 0.02253807039468447, 0.10111505471740585, 0.20762542544223497, 0.12974476084823724, 0.03452597139941561, 0.2019299255762077, -0.10520933730382408, -0.15060047320940806, -0.33657863640597874, -0.18456883782876193, -0.19248209548680073, 0.05816839421652473, -0.09403074805372774, -0.18777682984818442, 0.4438179663000251, 0.14672487875752183, 0.15426252271463245, 0.026522510463635657, 0.2698070048381483, 0.18652193624165578, 0.031961682021101084, 0.03959692049653113, 0.28781651481555376, 0.17700039667368064, 0.08661425427259134, -0.3479258377384933, 0.005534477066248655, 0.07818303579556073] |
711.3826 | Bose-Fermi Kondo model with Ising anisotropy: cluster-Monte Carlo
approach | The Bose-Fermi Kondo model captures the physics of the destruction of Kondo
screening, which is of extensive current interest to the understanding of
quantum critical heavy fermion metals. There are presently limited theoretical
methods to study the finite temperature properties of the Bose-Fermi Kondo
model. Here we provide some of the consistency checks on the cluster-Monte
Carlo method, which we have recently applied to the Ising-anisotropic
Bose-Fermi Kondo model. We show that the method correctly captures the scaling
properties of the Kondo phase, as well as those on approach to the
Kondo-destroying quantum critical point. We establish that comparable results
are obtained when the Kondo couplings are placed at or away from a Toulouse
point.
| cond-mat.str-el | the bosefermi kondo model captures the physics of the destruction of kondo screening which is of extensive current interest to the understanding of quantum critical heavy fermion metals there are presently limited theoretical methods to study the finite temperature properties of the bosefermi kondo model here we provide some of the consistency checks on the clustermonte carlo method which we have recently applied to the isinganisotropic bosefermi kondo model we show that the method correctly captures the scaling properties of the kondo phase as well as those on approach to the kondodestroying quantum critical point we establish that comparable results are obtained when the kondo couplings are placed at or away from a toulouse point | [['the', 'bosefermi', 'kondo', 'model', 'captures', 'the', 'physics', 'of', 'the', 'destruction', 'of', 'kondo', 'screening', 'which', 'is', 'of', 'extensive', 'current', 'interest', 'to', 'the', 'understanding', 'of', 'quantum', 'critical', 'heavy', 'fermion', 'metals', 'there', 'are', 'presently', 'limited', 'theoretical', 'methods', 'to', 'study', 'the', 'finite', 'temperature', 'properties', 'of', 'the', 'bosefermi', 'kondo', 'model', 'here', 'we', 'provide', 'some', 'of', 'the', 'consistency', 'checks', 'on', 'the', 'clustermonte', 'carlo', 'method', 'which', 'we', 'have', 'recently', 'applied', 'to', 'the', 'isinganisotropic', 'bosefermi', 'kondo', 'model', 'we', 'show', 'that', 'the', 'method', 'correctly', 'captures', 'the', 'scaling', 'properties', 'of', 'the', 'kondo', 'phase', 'as', 'well', 'as', 'those', 'on', 'approach', 'to', 'the', 'kondodestroying', 'quantum', 'critical', 'point', 'we', 'establish', 'that', 'comparable', 'results', 'are', 'obtained', 'when', 'the', 'kondo', 'couplings', 'are', 'placed', 'at', 'or', 'away', 'from', 'a', 'toulouse', 'point']] | [-0.07517694898374509, 0.14104529517588385, -0.11118388679205325, 0.10906871766150161, -0.0056259988137243085, -0.18671762099767333, 0.09082441863996026, 0.33516890470248956, -0.23905422273827226, -0.2731385184125158, 0.04933965916892415, -0.322160623571427, -0.1274100919519633, 0.20384637547428147, 0.01694009789233014, 0.06197864812859559, 0.007083688231528197, 0.037505915289665084, -0.11147685834664132, -0.2655982847341843, 0.304758319686363, 0.03509227790371433, 0.29041755696546223, 0.1372094669812277, 0.03559779570123442, -0.01885308853040139, 0.0888332570290291, 0.022444658263243343, -0.1650170707844633, 0.04311269735754059, 0.22186890076907156, 0.005935195902885313, 0.22232632193583668, -0.39596036649227406, -0.2153759188296502, 0.059950477962398475, 0.11456697379859786, 0.18007453989948294, -0.06323904157493655, -0.3203059276116587, 0.06263440323323664, -0.16791987642972617, -0.1217024758613358, -0.123383829435497, -0.0864404682212983, -0.00963681677086769, -0.25947078684214175, 0.07167842253846557, 0.061331411702109075, 0.08776175473784015, -0.03542285179310854, -0.13855914936989153, -0.015330966817329457, 0.10819357920876141, 0.06249267703816785, -0.0011846365349922788, 0.13609670973464585, -0.15780068293066793, -0.11466821685041252, 0.3979555354862098, -0.03221585478617303, -0.10187515672377981, 0.24828144786634335, -0.17226780338310882, -0.1134053075914843, 0.083559779131687, 0.11428879247518796, 0.07858156786185869, -0.13163206557880602, 0.1356533174076232, -0.08753503936844809, 0.11469927324204739, -0.06044884580350889, 0.07253050231048021, 0.2746285138112542, 0.2142235024509494, 0.01934326724598609, 0.1550952639663592, -0.12432709775187009, -0.16124553276683418, -0.2806707606405804, -0.09936530050298754, -0.2420402226087294, 0.02607968984694596, -0.05569350707606135, -0.20142040259528776, 0.3905975427723637, 0.27043914531864094, 0.2048918123258964, -0.014905933076270708, 0.26009901722264067, 0.1318151721171218, 0.0639031176412429, 0.015963095130006735, 0.2218794736231518, 0.1393606166371651, 0.05409271540447024, -0.3140349661085853, 0.03950430879271344, 0.11822810424328373] |
711.3827 | Monochromatic and heterochromatic subgraph problems in a randomly
colored graph | Let $K_n$ be the complete graph with $n$ vertices and $c_1, c_2, ..., c_r$ be
$r$ different colors. Suppose we randomly and uniformly color the edges of
$K_n$ in $c_1, c_2, ..., c_r$. Then we get a random graph, denoted by
$\mathcal{K}_n^r$. In the paper, we investigate the asymptotic properties of
several kinds of monochromatic and heterochromatic subgraphs in
$\mathcal{K}_n^r$. Accurate threshold functions in some cases are also
obtained.
| math.CO | let k_n be the complete graph with n vertices and c_1 c_2 c_r be r different colors suppose we randomly and uniformly color the edges of k_n in c_1 c_2 c_r then we get a random graph denoted by mathcalk_nr in the paper we investigate the asymptotic properties of several kinds of monochromatic and heterochromatic subgraphs in mathcalk_nr accurate threshold functions in some cases are also obtained | [['let', 'k_n', 'be', 'the', 'complete', 'graph', 'with', 'n', 'vertices', 'and', 'c_1', 'c_2', 'c_r', 'be', 'r', 'different', 'colors', 'suppose', 'we', 'randomly', 'and', 'uniformly', 'color', 'the', 'edges', 'of', 'k_n', 'in', 'c_1', 'c_2', 'c_r', 'then', 'we', 'get', 'a', 'random', 'graph', 'denoted', 'by', 'mathcalk_nr', 'in', 'the', 'paper', 'we', 'investigate', 'the', 'asymptotic', 'properties', 'of', 'several', 'kinds', 'of', 'monochromatic', 'and', 'heterochromatic', 'subgraphs', 'in', 'mathcalk_nr', 'accurate', 'threshold', 'functions', 'in', 'some', 'cases', 'are', 'also', 'obtained']] | [-0.16398651677934425, 0.20754532492372083, -0.03383199274261941, -0.0034999659062543913, -0.025726299649521486, -0.1584028508722671, 0.02535388913568554, 0.4592258042808789, -0.2500571896836384, -0.25143040634636116, 0.059899514828158765, -0.37750620458886697, -0.13599008051053024, 0.0685296084387784, -0.10641637871236499, -0.018635076602726286, 0.050003489901645305, 0.10398293531207896, 0.04880016771103464, -0.27541264662703274, 0.2568603188230364, -0.15942229341659972, 0.15824097208678722, 0.06166462746184709, 0.00036958607831108037, 0.022478801045399992, -0.011802678528144511, 0.09133086197354388, -0.26865981280136464, 0.038582424501151735, 0.23669898746284976, 0.13670890740772237, 0.23179682174614116, -0.40022859042649395, -0.14672872083567418, 0.2608644556698959, 0.176484186751351, -0.011696917157786996, 0.018772688040982432, -0.1738133837760829, 0.16862132123657572, -0.0956885966736434, -0.07988518404899471, 0.018799611756494687, 0.10965072347629648, 0.07936424177501407, -0.3265489404048048, -0.020329636761852638, 0.062162577654165566, 0.05978697764951346, 0.09412596481782731, -0.23396795682275473, -0.09469155541190238, 0.12812946325362617, -0.048235997543739736, 0.06559740240449335, 0.0329645116285268, -0.10648754704048607, -0.10454377849628009, 0.37137175322190596, -0.05624070322947271, -0.14593663613603852, 0.03697392972770022, -0.15917236725591236, -0.1857544289304138, 0.06265955449624071, 0.08954258563358393, 0.21421491641050844, -0.08632775106286603, 0.13390166174582163, -0.09827947900839039, 0.08107819563862104, 0.13479011638590427, 0.07773830346874337, 0.10157462513880498, 0.029585875237165993, 0.10334356996376734, 0.1884169064344032, 0.029828968138169886, 0.09174494885269609, -0.3447394281514545, -0.07359497294454564, -0.23338092746796893, 0.10215221272621637, -0.24481413894921103, -0.14945599486627406, 0.42157717671856954, 0.09568190955949614, 0.25175603623710463, 0.10862795184296903, 0.2297410422574673, 0.05460248653318232, -0.027498192890588916, 0.17431645061292533, 0.08979943644736699, 0.16644393769787874, -0.07305748585555981, -0.12832352180562134, 0.016081151580299016, 0.18510063543026126] |
711.3828 | Symplectically hyperbolic manifolds | A symplectic form is called hyperbolic if its pull-back to the universal
cover is a differential of a bounded one-form. The present paper is concerned
with the properties and constructions of manifolds admitting hyperbolic
symplectic forms. The main results are:
* If a symplectic form represents a bounded cohomology class then it is
hyperbolic.
* The symplectic hyperbolicity is equivalent to a certain isoperimetric
inequality.
* The fundamental group of symplectically hyperbolic manifold is
non-amenable.
We also construct hyperbolic symplectic forms on certain bundles and
Lefschetz fibrations, discuss the dependenc of the symplectic hyperbolicity on
the fundamental group and discuss some properties of the group of symplectic
diffeomorphisms of a symplectically hyperbolic manifold.
| math.SG math.GT | a symplectic form is called hyperbolic if its pullback to the universal cover is a differential of a bounded oneform the present paper is concerned with the properties and constructions of manifolds admitting hyperbolic symplectic forms the main results are if a symplectic form represents a bounded cohomology class then it is hyperbolic the symplectic hyperbolicity is equivalent to a certain isoperimetric inequality the fundamental group of symplectically hyperbolic manifold is nonamenable we also construct hyperbolic symplectic forms on certain bundles and lefschetz fibrations discuss the dependenc of the symplectic hyperbolicity on the fundamental group and discuss some properties of the group of symplectic diffeomorphisms of a symplectically hyperbolic manifold | [['a', 'symplectic', 'form', 'is', 'called', 'hyperbolic', 'if', 'its', 'pullback', 'to', 'the', 'universal', 'cover', 'is', 'a', 'differential', 'of', 'a', 'bounded', 'oneform', 'the', 'present', 'paper', 'is', 'concerned', 'with', 'the', 'properties', 'and', 'constructions', 'of', 'manifolds', 'admitting', 'hyperbolic', 'symplectic', 'forms', 'the', 'main', 'results', 'are', 'if', 'a', 'symplectic', 'form', 'represents', 'a', 'bounded', 'cohomology', 'class', 'then', 'it', 'is', 'hyperbolic', 'the', 'symplectic', 'hyperbolicity', 'is', 'equivalent', 'to', 'a', 'certain', 'isoperimetric', 'inequality', 'the', 'fundamental', 'group', 'of', 'symplectically', 'hyperbolic', 'manifold', 'is', 'nonamenable', 'we', 'also', 'construct', 'hyperbolic', 'symplectic', 'forms', 'on', 'certain', 'bundles', 'and', 'lefschetz', 'fibrations', 'discuss', 'the', 'dependenc', 'of', 'the', 'symplectic', 'hyperbolicity', 'on', 'the', 'fundamental', 'group', 'and', 'discuss', 'some', 'properties', 'of', 'the', 'group', 'of', 'symplectic', 'diffeomorphisms', 'of', 'a', 'symplectically', 'hyperbolic', 'manifold']] | [-0.272121318299836, 0.07851107994579377, -0.11528651394086693, 0.09615183637665431, -0.18363693192464495, -0.1573240672229627, -0.056117366015731675, 0.3208093033300354, -0.3291863571732826, -0.1634157119156502, 0.12373330565639387, -0.26058643236072787, -0.21651249205898665, 0.18858159249733894, -0.22358972774049557, 0.013539139629414288, 0.05776028822543561, 0.12466016931271334, -0.1581482890621682, -0.23740110578818605, 0.5206677513966046, -0.09471084432112514, 0.18711961768439397, 0.10045140031127071, 0.188143417794565, -0.08394149258954946, 0.00848538372152989, -0.023329820949584246, -0.1674495129546988, 0.1323535715255442, 0.26477893151411225, 0.02249235255694991, 0.18246197509536638, -0.33615077601386867, -0.15380930230705017, 0.19032957852143076, 0.1170970479137512, -0.029705165569251832, -0.05410751198213377, -0.31967862017469806, 0.06824981563493883, -0.08908009037499341, -0.24874700241884506, -0.10114178567304524, -0.0009306891556453268, 0.02932849696435786, -0.12522190355764137, -0.034708150647796365, 0.16056148352426128, 0.09585250155367983, -0.05540430258399884, -0.00953639549023788, -0.09655748348717295, 0.0707815307354845, -0.005445362090073321, 0.02995411721869893, 0.1347531316921525, -0.02075603803397592, -0.06340263047845128, 0.4534485370952448, -0.04810402886258489, -0.34156683376998803, 0.07738167421738489, -0.13973229427591238, -0.26026446355609306, 0.16665942128747702, 0.12070175448065162, 0.15157033231348618, -0.028025233259407478, 0.2367485339583513, -0.15620871172756504, 0.05480339680157534, 0.08359319920472186, -0.028852931655294033, 0.07041948936973622, 0.12423394506993712, 0.17182766489787113, 0.10997272440266513, 0.046009213168071494, -0.09697411597253533, -0.3500675116793825, -0.2529447918860327, -0.08059355407235545, 0.22674051573107, -0.14127970813656623, -0.22784401870913668, 0.4048546687101757, -0.06733470427517463, 0.15307034666590189, 0.19676765494492895, 0.24193674944546245, 0.04133486870672007, 0.05055063337924967, 0.0956656890195034, 0.15700514275936298, 0.3001947462251154, -0.06954692341515435, -0.11319179854295942, -0.06914201889340894, 0.2386098781228386] |
711.3829 | The Scalar Glueball in the Instanton Vacuum | We study the contribution of instantons to the binding and the mass of the
lightest scalar glueball, in gluondynamics. We show that the short-range
correlations introduced by such non-perturbative vacuum fluctuations are
sufficient to give raise to a scalar glueball bound-state, with mass in good
agreement with the results of recent lattice calculations.
| hep-ph | we study the contribution of instantons to the binding and the mass of the lightest scalar glueball in gluondynamics we show that the shortrange correlations introduced by such nonperturbative vacuum fluctuations are sufficient to give raise to a scalar glueball boundstate with mass in good agreement with the results of recent lattice calculations | [['we', 'study', 'the', 'contribution', 'of', 'instantons', 'to', 'the', 'binding', 'and', 'the', 'mass', 'of', 'the', 'lightest', 'scalar', 'glueball', 'in', 'gluondynamics', 'we', 'show', 'that', 'the', 'shortrange', 'correlations', 'introduced', 'by', 'such', 'nonperturbative', 'vacuum', 'fluctuations', 'are', 'sufficient', 'to', 'give', 'raise', 'to', 'a', 'scalar', 'glueball', 'boundstate', 'with', 'mass', 'in', 'good', 'agreement', 'with', 'the', 'results', 'of', 'recent', 'lattice', 'calculations']] | [-0.12867523962631822, 0.21883999376307026, -0.07414863887242973, 0.1561661593329448, -0.012290255166590214, -0.09443657242585547, -0.006707374185610276, 0.34102848815606335, -0.1339952962902876, -0.28823379119141745, -0.02386773782871807, -0.3131538201839878, -0.11476060227141716, 0.08910769587293124, 0.031158825445275467, 0.10067733611839895, 0.0712515212631283, 0.05351714130777579, -0.06368702204333833, -0.2641027637112599, 0.386335255828901, 0.053027058082919284, 0.16872456200564137, 0.22267052359305894, 0.004137280038916147, -0.012380797494328223, 0.0016754892824862439, -0.03636366315186024, -0.21339305016156757, 0.11422737028736335, 0.1781749768773667, 0.02638877838706741, 0.16936612082645297, -0.3744192471584448, -0.1731348144911373, 0.11333719949023081, 0.1503926278808369, 0.17374050984374032, -0.09129406465217471, -0.29299930171467936, 0.10830056633298787, -0.1808246216700914, -0.15462424526385105, -0.16087993386855276, -0.03291250532492995, -0.022543759268815987, -0.3112346882430407, 0.14286294599206975, -0.05937372798171754, -0.02384638255856631, -0.10086471432497582, -0.1764030319889291, -0.051730115038271136, 0.07514301449275361, 0.1776794487467179, 0.07073465256298032, 0.11682073580316053, -0.19131239039751774, -0.12072321078113209, 0.39216563338413835, -0.12908822075965312, -0.17134765988717285, 0.1378027978621853, -0.17173184501902702, -0.13699177786027297, 0.11292123357550456, 0.10913696419895412, 0.06422079356315617, -0.12389459201278022, 0.09073925978177264, -0.047778567675357826, 0.18751115029534468, 0.03837262546249594, 0.10744837708107997, 0.25065117712634116, 0.11705294935605846, -0.00878270579358706, 0.11071960361620697, 0.00011669131568991221, -0.15739461564673826, -0.36193530773743987, -0.12152636398632939, -0.16033393620119357, 0.0737577725488406, -0.07020222090264164, -0.1639113807871651, 0.3853008711997133, 0.15706996608059853, 0.2488499814286255, 0.04916487391500805, 0.2279164020348197, 0.07696201336399938, 0.06271458529562761, 0.026063024514139846, 0.3263708912552549, 0.21538808877812698, 0.09071329949746051, -0.3094996652350976, -0.1141853293900987, 0.07772952913700674] |
711.383 | Optimized Folding Simulations of Protein A | We describe optimized parallel tempering simulations of the 46-residue
B-fragment of protein A. Native-like configurations with a root-mean-square
deviation of approximately 3A to the experimentally determined structure
(Protein Data Bank identifier 1BDD) are found. However, at biologically
relevant temperatures such conformations appear with only about 10% frequency
in our simulations. Possible short comings in our energy function are
discussed.
| cond-mat.stat-mech | we describe optimized parallel tempering simulations of the 46residue bfragment of protein a nativelike configurations with a rootmeansquare deviation of approximately 3a to the experimentally determined structure protein data bank identifier 1bdd are found however at biologically relevant temperatures such conformations appear with only about 10 frequency in our simulations possible short comings in our energy function are discussed | [['we', 'describe', 'optimized', 'parallel', 'tempering', 'simulations', 'of', 'the', '46residue', 'bfragment', 'of', 'protein', 'a', 'nativelike', 'configurations', 'with', 'a', 'rootmeansquare', 'deviation', 'of', 'approximately', '3a', 'to', 'the', 'experimentally', 'determined', 'structure', 'protein', 'data', 'bank', 'identifier', '1bdd', 'are', 'found', 'however', 'at', 'biologically', 'relevant', 'temperatures', 'such', 'conformations', 'appear', 'with', 'only', 'about', '10', 'frequency', 'in', 'our', 'simulations', 'possible', 'short', 'comings', 'in', 'our', 'energy', 'function', 'are', 'discussed']] | [-0.13178002701793698, 0.13750461794968163, -0.034538664401874745, 0.11558150021093232, 0.008232558694934207, -0.13432467397901096, 0.04616069607852426, 0.4637834972901536, -0.2545800179276349, -0.3306022766378841, 0.03742748093541844, -0.24721591891388275, -0.11763681547849306, 0.20717169708638852, 0.0380213888711296, 0.03642655438410917, 0.12784740559956326, 0.034818863549194896, -0.020300651057498596, -0.19233981280038798, 0.17882375983754173, 0.1227841593957107, 0.2365616164502821, 0.01832882351508098, 0.10440759112368271, -0.06609574809720341, -0.015282587971471782, -0.004762900560828192, -0.20928930250063008, 0.09372464431050632, 0.3108033866821123, 0.07467668545099773, 0.2134477981474317, -0.3887260588152068, -0.16837081610823848, 0.05009216239808926, 0.11308488502150535, 0.14465412331212843, -0.025107704369085177, -0.23111237578892282, 0.13143019494600594, -0.11888027510472707, -0.1195035787532106, -0.0840978887530842, 0.011116615912344838, 0.11259196885553788, -0.21779421568602889, 0.1238888291908162, -0.04630921345337161, 0.08258199490540262, -0.08059682482520916, -0.18356970105586307, -0.05198615221888758, 0.08508526175033435, 0.03403891177315797, 0.03540653141681105, 0.19555210886755958, -0.05370329558250627, -0.08153946646572356, 0.35791727408234564, -0.03031314936067377, -0.1795985117719933, 0.1814530485342922, -0.12188370498396191, -0.15151178928291692, 0.18957362686549978, 0.0925425022142008, 0.10542953690414184, -0.16175304941030585, 0.010729799521089132, 0.024863953259357783, 0.2391515053209982, 0.12110900946676598, -0.004472463533082711, 0.21651274378278426, 0.19400089292321354, -0.029458944951849326, 0.15121545973566494, -0.1327800381113775, -0.1518748863444281, -0.24845739327637212, -0.06832942232722417, -0.20974417163441622, 0.05728432235108422, -0.10896091080836154, -0.15292689242466753, 0.3921118755159633, 0.1386227050929197, 0.1899490476353094, 0.08899990484184984, 0.22762970697866486, 0.0031856793003888534, 0.10575105081079528, 0.06410354458993035, 0.19403686878337925, 0.05494799644969005, 0.10670666218668755, -0.2067326584282065, 0.06946640588804646, -0.04848521189913819] |
711.3831 | Generation of macroscopic superposition states in ring superlattices | Ultracold bosons in rotating ring lattices have previously been shown to form
macroscopic superpositions of different quasi-momentum states. We demonstrate
that the generation of such kind of states using slightly non-uniform ring
lattices has several advantages: the energy gap decreases less severely with
the number of particles, the sensitivity to detunings from the critical
rotation frequency is reduced, and the scheme is not limited to commensurate
filling. We show that different quasi-momentum states can be distinguished in
time-of-flight absorption imaging and propose to probe correlations via the
many-body oscillations induced by a sudden change in the rotation frequency.
| cond-mat.other quant-ph | ultracold bosons in rotating ring lattices have previously been shown to form macroscopic superpositions of different quasimomentum states we demonstrate that the generation of such kind of states using slightly nonuniform ring lattices has several advantages the energy gap decreases less severely with the number of particles the sensitivity to detunings from the critical rotation frequency is reduced and the scheme is not limited to commensurate filling we show that different quasimomentum states can be distinguished in timeofflight absorption imaging and propose to probe correlations via the manybody oscillations induced by a sudden change in the rotation frequency | [['ultracold', 'bosons', 'in', 'rotating', 'ring', 'lattices', 'have', 'previously', 'been', 'shown', 'to', 'form', 'macroscopic', 'superpositions', 'of', 'different', 'quasimomentum', 'states', 'we', 'demonstrate', 'that', 'the', 'generation', 'of', 'such', 'kind', 'of', 'states', 'using', 'slightly', 'nonuniform', 'ring', 'lattices', 'has', 'several', 'advantages', 'the', 'energy', 'gap', 'decreases', 'less', 'severely', 'with', 'the', 'number', 'of', 'particles', 'the', 'sensitivity', 'to', 'detunings', 'from', 'the', 'critical', 'rotation', 'frequency', 'is', 'reduced', 'and', 'the', 'scheme', 'is', 'not', 'limited', 'to', 'commensurate', 'filling', 'we', 'show', 'that', 'different', 'quasimomentum', 'states', 'can', 'be', 'distinguished', 'in', 'timeofflight', 'absorption', 'imaging', 'and', 'propose', 'to', 'probe', 'correlations', 'via', 'the', 'manybody', 'oscillations', 'induced', 'by', 'a', 'sudden', 'change', 'in', 'the', 'rotation', 'frequency']] | [-0.17019032597499045, 0.264467021133228, -0.0636986879993002, 0.03251391909873987, -0.029841428803165957, -0.1343570669770849, 0.0364200563112996, 0.3943442035542459, -0.2864159030022518, -0.27713781513501795, 0.03830368115628442, -0.2493445423184609, -0.07867879339740896, 0.20016405073811813, -0.008966917300368754, 0.05673618391821427, 0.03994684895186932, -0.0014061981203908824, -0.07984629355618084, -0.20211781350401592, 0.3102495704316629, 0.03605954224547865, 0.31487585752442177, 0.058762607407014895, 0.047839385217378794, -0.019059866479103814, 0.07094305200141152, 0.026127114107984364, -0.10177902651122743, 0.04148852017206824, 0.22466074493571128, 0.02648147351906768, 0.22131158613447785, -0.4325479537780796, -0.2159380149761481, 0.12859326857617315, 0.19578658934321483, 0.17493522916065188, -0.04635587398304927, -0.32022026061479536, 0.00878581911092624, -0.19837300055565274, -0.1618966086511025, -0.12566484317981771, 0.036757588291502725, 0.04548396268023216, -0.2266215808518535, 0.0945120402706825, 0.018999996443032, 0.07676964058369702, -0.05509131551929274, -0.07998757260347887, -0.02957306273889785, 0.06432598613782273, -0.0028108728678935034, -0.003082804842757023, 0.14535438411866733, -0.12469540236574807, -0.11916541150409957, 0.373948052677573, -0.0932245230188175, -0.18196791868504822, 0.20838316211628974, -0.2307200536977652, -0.04931098981570376, 0.18340921371567007, 0.12672765148097972, 0.07172671953995464, -0.07811776663821751, 0.0284663374554746, -0.03165151583201879, 0.20290300377753887, 0.1258417474657145, 0.12393595384699958, 0.22752835337673694, 0.12855549545944384, 0.07005809382737462, 0.16758485839937395, -0.14703037723190893, -0.07956230712398811, -0.20348315465035943, -0.11135589536659572, -0.2382318967744252, 0.053861041213724314, -0.015293791105825814, -0.10292523210881306, 0.42156240165990755, 0.13641389464598377, 0.21294050024138117, -0.043032328313102525, 0.2668036334691759, 0.155642636768919, 0.11362618220760962, 0.02747436746365714, 0.2777607921244843, 0.13164119724878015, 0.06137080773787231, -0.2776865690960834, 0.0055633449014656396, 0.01796078103195344] |
711.3832 | Interpr\'etation de l'Arithm\'etique dans certains groupes de
permutations affines par morceaux d'un intervalle | The Arithmetic is interpreted in all the groups of Richard Thompson and
Graham Higman, as well as in other groups of piecewise affine permutations of
an interval which generalize the groups of Thompson and Higman. In particular,
the elementary theories of all these groups are undecidable. Moreover,
Thompson's group $F$ and some of its generalizations interpret the Arithmetic
without parameters.
| math.LO math.GR | the arithmetic is interpreted in all the groups of richard thompson and graham higman as well as in other groups of piecewise affine permutations of an interval which generalize the groups of thompson and higman in particular the elementary theories of all these groups are undecidable moreover thompsons group f and some of its generalizations interpret the arithmetic without parameters | [['the', 'arithmetic', 'is', 'interpreted', 'in', 'all', 'the', 'groups', 'of', 'richard', 'thompson', 'and', 'graham', 'higman', 'as', 'well', 'as', 'in', 'other', 'groups', 'of', 'piecewise', 'affine', 'permutations', 'of', 'an', 'interval', 'which', 'generalize', 'the', 'groups', 'of', 'thompson', 'and', 'higman', 'in', 'particular', 'the', 'elementary', 'theories', 'of', 'all', 'these', 'groups', 'are', 'undecidable', 'moreover', 'thompsons', 'group', 'f', 'and', 'some', 'of', 'its', 'generalizations', 'interpret', 'the', 'arithmetic', 'without', 'parameters']] | [-0.1232154207614561, 0.1660367834015536, -0.07669826322235167, 0.12575861514584782, -0.1182195923756808, -0.09372417677659542, 0.04728543584545453, 0.38071718299761415, -0.34662610879167916, -0.28620760751267277, 0.15435524137574247, -0.22969849843842288, -0.14924358110971905, 0.26599821392446754, -0.1999915771652013, -0.027994386992456082, -0.06871995911933482, 0.1080522925592959, -0.07077532225909332, -0.3542887843873662, 0.2980478598270565, -0.0121040758327581, 0.1644825585380507, -0.006420267315115779, 0.057853801079424255, 0.03965251278908302, -0.07473669517785311, 0.016555018279662666, -0.06946645008089641, 0.07321341823165615, 0.3327490356440345, 0.09312230038146178, 0.2556836340731631, -0.34131570703660447, -0.18973687820349974, 0.14009694916506607, 0.11632166594111672, 0.01882051998982206, -0.022201291394109528, -0.3059359057495991, 0.04165054668361942, -0.18705360372550786, -0.10568324526151021, -0.014516805686677495, 0.06375697472443183, 0.08494449344774087, -0.13771354584799458, 0.02410685164310659, 0.141938530508196, 0.15453051797424752, -0.04355622932198457, -0.165839932517459, -0.006593347461118052, 0.16045943384524436, 0.031217593478504568, 0.012378864960434536, 0.08156005095224828, -0.07217670786970605, -0.20371092152393733, 0.4418017727633317, -0.012829269651168337, -0.1584422760643065, 0.1763695533387363, -0.1654975735718229, -0.2565283984489118, 0.022747496298203867, 0.06805462147264431, 0.1590600725884239, -0.025713720802256528, 0.20688079685302607, -0.18638929207809268, 0.017633048569162688, 0.14538226409349592, 0.0009640037819432716, 0.05405757620853061, 0.01472499660255077, 0.05507561600146194, 0.119933961891608, 0.0942728431429714, 0.007723754070078333, -0.3602776614328225, -0.21613163277506828, -0.0942069869992944, 0.019408217111291984, -0.12020934889175502, -0.20307098192473252, 0.38001227560453116, 0.09860996979599197, 0.14760418040289855, 0.1585694292424402, 0.15123474380622307, 0.030018923955503853, 0.05161339379070948, 0.06583479710388929, 0.08591127258502335, 0.2574584921511511, -0.09846614028016726, -0.15135476678454626, 0.007683993441363176, 0.20389386885799468] |
711.3833 | Perfect fluid quantum Universe in the presence of negative cosmological
constant | We present perfect fluid Friedmann-Robertson-Walker quantum cosmological
models in the presence of negative cosmological constant. In this work the
Schutz's variational formalism is applied for radiation, dust, cosmic string,
and domain wall dominated Universes with positive, negative, and zero constant
spatial curvature. In this approach the notion of time can be recovered. These
give rise to Wheeler-DeWitt equations for the scale factor. We find their
igenvalues and eigenfunctions by using Spectral Method. After that, we use the
eigenfunctions in order to construct wave packets for each case and evaluate
the time-dependent expectation value of the scale factors, which are found to
oscillate between finite maximum and minimum values. Since the expectation
values of the scale factors never tends to the singular point, we have an
initial indication that these models may not have singularities at the quantum
level.
| gr-qc | we present perfect fluid friedmannrobertsonwalker quantum cosmological models in the presence of negative cosmological constant in this work the schutzs variational formalism is applied for radiation dust cosmic string and domain wall dominated universes with positive negative and zero constant spatial curvature in this approach the notion of time can be recovered these give rise to wheelerdewitt equations for the scale factor we find their igenvalues and eigenfunctions by using spectral method after that we use the eigenfunctions in order to construct wave packets for each case and evaluate the timedependent expectation value of the scale factors which are found to oscillate between finite maximum and minimum values since the expectation values of the scale factors never tends to the singular point we have an initial indication that these models may not have singularities at the quantum level | [['we', 'present', 'perfect', 'fluid', 'friedmannrobertsonwalker', 'quantum', 'cosmological', 'models', 'in', 'the', 'presence', 'of', 'negative', 'cosmological', 'constant', 'in', 'this', 'work', 'the', 'schutzs', 'variational', 'formalism', 'is', 'applied', 'for', 'radiation', 'dust', 'cosmic', 'string', 'and', 'domain', 'wall', 'dominated', 'universes', 'with', 'positive', 'negative', 'and', 'zero', 'constant', 'spatial', 'curvature', 'in', 'this', 'approach', 'the', 'notion', 'of', 'time', 'can', 'be', 'recovered', 'these', 'give', 'rise', 'to', 'wheelerdewitt', 'equations', 'for', 'the', 'scale', 'factor', 'we', 'find', 'their', 'igenvalues', 'and', 'eigenfunctions', 'by', 'using', 'spectral', 'method', 'after', 'that', 'we', 'use', 'the', 'eigenfunctions', 'in', 'order', 'to', 'construct', 'wave', 'packets', 'for', 'each', 'case', 'and', 'evaluate', 'the', 'timedependent', 'expectation', 'value', 'of', 'the', 'scale', 'factors', 'which', 'are', 'found', 'to', 'oscillate', 'between', 'finite', 'maximum', 'and', 'minimum', 'values', 'since', 'the', 'expectation', 'values', 'of', 'the', 'scale', 'factors', 'never', 'tends', 'to', 'the', 'singular', 'point', 'we', 'have', 'an', 'initial', 'indication', 'that', 'these', 'models', 'may', 'not', 'have', 'singularities', 'at', 'the', 'quantum', 'level']] | [-0.11033430871601305, 0.14302963527341384, -0.10020488717896613, 0.07694847493714578, -0.07358162093526908, -0.12290557544766824, -0.002429023131823344, 0.3582792758013727, -0.25632733270954206, -0.2888002886035799, 0.06934909232089935, -0.2550570084203551, -0.0989289683252437, 0.13194598757192819, -0.01057947707110948, 0.04443339709881659, 0.03287316654829213, 0.04930832536116134, -0.06941136505826968, -0.2546669473518094, 0.37386652754184646, 0.08083663928240918, 0.25082867440638423, 0.06952972786949717, 0.11962879799904615, -0.07399950017744716, -0.009280959912405832, 0.05603904555123435, -0.1857162996028069, 0.05376548387185011, 0.22881081811201046, 0.08483427934209224, 0.2620264490060236, -0.4351322932209629, -0.22742641964131952, 0.1524429164493769, 0.14902631983918946, 0.17837091153538548, 4.73500966998565e-06, -0.2572069067803694, 0.10135947512870613, -0.1405374480999435, -0.1672738553908565, -0.06700196295269649, 0.013168176988744769, -0.03702702443285363, -0.2338707566806829, 0.1346409954334589, 0.0012396598663045107, -0.0027727853833106313, -0.10087656295334879, -0.10195406140542052, 0.017804371091931462, 0.10196153296286879, 0.0875417393390905, 0.016022750218339387, 0.0957356348402635, -0.12772485483254017, -0.09206538281682199, 0.3627877649018391, -0.1357118798883795, -0.2271224161623603, 0.10595851663472879, -0.16350067333474647, -0.08653406518932949, 0.10971286138315706, 0.151116046017838, 0.11408132149491214, -0.09766745404850175, 0.11570152937881581, 0.017126934453407405, 0.14263129394937368, 0.1211314209342601, 0.023215712316633358, 0.23205836145819103, 0.04338667688238686, 0.05793622710205017, 0.10054436035328511, -0.06137013927537159, -0.12639421040708892, -0.34788136907520084, -0.12955854721960589, -0.1796295368826411, 0.10089851256305297, -0.15488860170800073, -0.21005148580637725, 0.3695976285019169, 0.15989159044629492, 0.21453688711770913, 0.07500963270694806, 0.24290639081847493, 0.17459006716300102, 0.04800933380067403, 0.11298902280948186, 0.24940064405329035, 0.11078592941307727, 0.11395926384364058, -0.22360144430358492, 0.024377943383679337, 0.06527901550646137] |
711.3834 | On the Analytic Wavelet Transform | An exact and general expression for the analytic wavelet transform of a
real-valued signal is constructed, resolving the time-dependent effects of
non-negligible amplitude and frequency modulation. The analytic signal is first
locally represented as a modulated oscillation, demodulated by its own
instantaneous frequency, and then Taylor-expanded at each point in time. The
terms in this expansion, called the instantaneous modulation functions, are
time-varying functions which quantify, at increasingly higher orders, the local
departures of the signal from a uniform sinusoidal oscillation. Closed-form
expressions for these functions are found in terms of Bell polynomials and
derivatives of the signal's instantaneous frequency and bandwidth. The analytic
wavelet transform is shown to depend upon the interaction between the signal's
instantaneous modulation functions and frequency-domain derivatives of the
wavelet, inducing a hierarchy of departures of the transform away from a
perfect representation of the signal. The form of these deviation terms
suggests a set of conditions for matching the wavelet properties to suit the
variability of the signal, in which case our expressions simplify considerably.
One may then quantify the time-varying bias associated with signal estimation
via wavelet ridge analysis, and choose wavelets to minimize this bias.
| math.ST math.FA stat.ME stat.TH | an exact and general expression for the analytic wavelet transform of a realvalued signal is constructed resolving the timedependent effects of nonnegligible amplitude and frequency modulation the analytic signal is first locally represented as a modulated oscillation demodulated by its own instantaneous frequency and then taylorexpanded at each point in time the terms in this expansion called the instantaneous modulation functions are timevarying functions which quantify at increasingly higher orders the local departures of the signal from a uniform sinusoidal oscillation closedform expressions for these functions are found in terms of bell polynomials and derivatives of the signals instantaneous frequency and bandwidth the analytic wavelet transform is shown to depend upon the interaction between the signals instantaneous modulation functions and frequencydomain derivatives of the wavelet inducing a hierarchy of departures of the transform away from a perfect representation of the signal the form of these deviation terms suggests a set of conditions for matching the wavelet properties to suit the variability of the signal in which case our expressions simplify considerably one may then quantify the timevarying bias associated with signal estimation via wavelet ridge analysis and choose wavelets to minimize this bias | [['an', 'exact', 'and', 'general', 'expression', 'for', 'the', 'analytic', 'wavelet', 'transform', 'of', 'a', 'realvalued', 'signal', 'is', 'constructed', 'resolving', 'the', 'timedependent', 'effects', 'of', 'nonnegligible', 'amplitude', 'and', 'frequency', 'modulation', 'the', 'analytic', 'signal', 'is', 'first', 'locally', 'represented', 'as', 'a', 'modulated', 'oscillation', 'demodulated', 'by', 'its', 'own', 'instantaneous', 'frequency', 'and', 'then', 'taylorexpanded', 'at', 'each', 'point', 'in', 'time', 'the', 'terms', 'in', 'this', 'expansion', 'called', 'the', 'instantaneous', 'modulation', 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711.3835 | Einsteinian Manifolds and Gravitational Waves | The full relativity of the concepts of motion and rest, which is
characteristic of the Einsteinian general relativity (GR), does not allow the
generation of physical gravitational waves (GW's). -- The undulatory nature of
a metric tensor is not an invariant property, but depends on the coordinate
frame. -- An undulation of a metric tensor is propagated with a speed that can
have any value between zero and infinite.
| physics.gen-ph | the full relativity of the concepts of motion and rest which is characteristic of the einsteinian general relativity gr does not allow the generation of physical gravitational waves gws the undulatory nature of a metric tensor is not an invariant property but depends on the coordinate frame an undulation of a metric tensor is propagated with a speed that can have any value between zero and infinite | [['the', 'full', 'relativity', 'of', 'the', 'concepts', 'of', 'motion', 'and', 'rest', 'which', 'is', 'characteristic', 'of', 'the', 'einsteinian', 'general', 'relativity', 'gr', 'does', 'not', 'allow', 'the', 'generation', 'of', 'physical', 'gravitational', 'waves', 'gws', 'the', 'undulatory', 'nature', 'of', 'a', 'metric', 'tensor', 'is', 'not', 'an', 'invariant', 'property', 'but', 'depends', 'on', 'the', 'coordinate', 'frame', 'an', 'undulation', 'of', 'a', 'metric', 'tensor', 'is', 'propagated', 'with', 'a', 'speed', 'that', 'can', 'have', 'any', 'value', 'between', 'zero', 'and', 'infinite']] | [-0.19658305495629894, 0.17670137191637864, -0.1508417157204335, 0.03317045803883794, -0.18638979743665723, -0.09833059819248408, -0.08832276961418675, 0.31752390780055256, -0.2580672775242311, -0.22136416959006394, 0.06878477175817338, -0.23877019526909538, -0.14601217814262457, 0.1696666583050487, -0.05322731372469397, 0.011248185320187416, 0.0489251296967268, 0.12344266518380549, -0.12512505640720586, -0.17208140873030495, 0.32952882685879276, 0.0975555794230148, 0.28430707895878093, 0.03608107328095209, 0.1751628612070831, -0.004425508595669448, -0.012170702802823551, 0.07415585953797867, -0.07620898161290662, 0.08057535736849393, 0.18600186394221746, 0.18426007445929432, 0.26500919646819804, -0.3979004711301914, -0.23289791166559973, 0.1101858411818298, 0.07815191085248796, 0.17407535660643575, 0.011946730188844698, -0.28628396440241766, 0.07719359435002084, -0.16061962460890525, -0.136691765484414, -0.017262223134957143, 0.06281453390508446, -0.014764165464065858, -0.2021730671456056, 0.06454575359265306, 0.1114103055572999, 0.01596036166953507, -0.08627321159314197, -0.018310972790011384, -0.025487039446719546, 0.12803944708334644, 0.10050509538703056, 0.06601999292789555, 0.14386834637105547, -0.12497627368169044, -0.09425763739794214, 0.48344207603706796, -0.10140856821437491, -0.3010359964013767, 0.16817031623517623, -0.17565750554481993, -0.04732198528111426, 0.10769047840401086, 0.1500290543146765, 0.1523590589553785, -0.11999656186689303, 0.12221311481579193, 0.0020767105048272146, 0.2015898718651551, 0.09026485549480613, 0.05096654821649444, 0.27826255568261465, 0.05825919026870336, 0.06545397388026007, 0.04308103011059227, -0.048795468003641984, -0.07831485063504817, -0.3822893377310082, -0.16841355283091317, -0.18879994882771106, 0.08433851765845764, -0.14705901815331845, -0.22156265362012964, 0.4069469870804851, 0.10134597454192255, 0.11609146980492314, 0.08507321808494127, 0.26293663352505486, 0.10155077804220534, 0.0686993072879737, 0.09705143918825397, 0.36353892010094513, 0.13706326928100923, 0.09564311829492894, -0.19199739394487061, 0.05785989548677384, 0.08993011516511941] |
711.3836 | Refinement of Ado's Theorem in Low Dimensions and Application in Affine
Geometr | In this paper, we construct a faithful representation with the lowest
dimension for every complex Lie algebra in dimension $\leq 4$. In particular,
in our construction, in the case that the faithful representation has the same
dimension of the Lie algebra, it can induce an \'etale affine representation
with base zero which has a natural and simple form and gives a compatible
left-symmetric algebra on the Lie algebra. Such affine representations do not
contain any nontrivial one-parameter subgroups of translation.
| math.QA math-ph math.MP | in this paper we construct a faithful representation with the lowest dimension for every complex lie algebra in dimension leq 4 in particular in our construction in the case that the faithful representation has the same dimension of the lie algebra it can induce an etale affine representation with base zero which has a natural and simple form and gives a compatible leftsymmetric algebra on the lie algebra such affine representations do not contain any nontrivial oneparameter subgroups of translation | [['in', 'this', 'paper', 'we', 'construct', 'a', 'faithful', 'representation', 'with', 'the', 'lowest', 'dimension', 'for', 'every', 'complex', 'lie', 'algebra', 'in', 'dimension', 'leq', '4', 'in', 'particular', 'in', 'our', 'construction', 'in', 'the', 'case', 'that', 'the', 'faithful', 'representation', 'has', 'the', 'same', 'dimension', 'of', 'the', 'lie', 'algebra', 'it', 'can', 'induce', 'an', 'etale', 'affine', 'representation', 'with', 'base', 'zero', 'which', 'has', 'a', 'natural', 'and', 'simple', 'form', 'and', 'gives', 'a', 'compatible', 'leftsymmetric', 'algebra', 'on', 'the', 'lie', 'algebra', 'such', 'affine', 'representations', 'do', 'not', 'contain', 'any', 'nontrivial', 'oneparameter', 'subgroups', 'of', 'translation']] | [-0.14055972896749153, 0.07395464097662625, -0.08688567936769687, 0.016816406293946783, -0.1670763390196953, -0.12643084312439895, -0.05474834076449042, 0.37411263869144024, -0.3290623032604344, -0.1845465974882245, 0.10755731712997658, -0.2068914500530809, -0.1859235109295696, 0.191128997427586, -0.16279978899401612, -0.09623291061725467, 0.05595965561515186, 0.20344048358965666, -0.15453363279520999, -0.23524250342743472, 0.40307267927564683, -0.04933701178524643, 0.27279327266005565, -0.0242224388231989, 0.17941575744916918, 0.012195385684026405, 0.02633562717528548, -0.04616479431279004, -0.11314868261442826, 0.13006749004125595, 0.33180687049170954, 0.07181679660861846, 0.17998027649882714, -0.3530114734585368, -0.1354628981291171, 0.2382083413307555, 0.1900493084685877, 0.06373761549330084, -0.04475975870882394, -0.23842456127458717, 0.09954226725385525, -0.24277701943647118, -0.12531159713398665, -0.09742131235543638, 0.07657793730031699, -0.1066651574918069, -0.23290431722125504, 0.008481373521499335, 0.12513598795048891, 0.1578601989080198, -0.09500376873766073, -0.07287820436758921, -0.0841994882299332, 0.1060579748256714, -0.1152218675124459, 0.07885955300880595, 0.06751843910242314, -0.07297737506160047, -0.1695088252716232, 0.3851540998963173, -0.01947307796217501, -0.2971556609030813, 0.18930406337603928, -0.21522506539040479, -0.23586830992717295, 0.09594578244432342, 0.09586342442780733, 0.06731284400448204, -0.017835695971734823, 0.23850189627701185, -0.16318946300307288, 0.08834648741612909, 0.06380043704994023, 0.0018522975442465395, 0.11542235680390149, 0.1291740942018805, 0.07493170359230135, 0.06816497344989329, 0.06709113944962156, -0.003439957753289491, -0.3787475121207535, -0.2074796841279749, -0.09908794362272602, 0.1352505029673921, -0.13119083673773274, -0.1857901485869661, 0.41833959211071486, 0.10872144217719323, 0.2053685879043769, 0.12284782279893988, 0.19660284877754747, 0.12126752588228555, 0.17122517642565072, 0.11867088993312791, 0.107306494389195, 0.19234611464198678, -0.054570339986821634, -0.09512729234993458, -0.03830129938141909, 0.16386708939971867] |
711.3837 | Coevolution of Mercy and Altruistic Cooperation | Besides altruistic punishment and group selection, we argue that, mercy can
lead to altruistic cooperation. Modeling the micro economic behavior of the
mercy, with two alleles of genes (Cooperation or Defection & Mercy or No mercy)
agents in a network, we present the computational simulation results in the
spatiotemporal evolution game theory frame to prove the above argument. Here,
mercy (or as 'Love thy neighbors') means, the agents, with mercy preference,
might share his own fitness with his poorest neighbor who poorer than himself.
| nlin.AO nlin.PS | besides altruistic punishment and group selection we argue that mercy can lead to altruistic cooperation modeling the micro economic behavior of the mercy with two alleles of genes cooperation or defection mercy or no mercy agents in a network we present the computational simulation results in the spatiotemporal evolution game theory frame to prove the above argument here mercy or as love thy neighbors means the agents with mercy preference might share his own fitness with his poorest neighbor who poorer than himself | [['besides', 'altruistic', 'punishment', 'and', 'group', 'selection', 'we', 'argue', 'that', 'mercy', 'can', 'lead', 'to', 'altruistic', 'cooperation', 'modeling', 'the', 'micro', 'economic', 'behavior', 'of', 'the', 'mercy', 'with', 'two', 'alleles', 'of', 'genes', 'cooperation', 'or', 'defection', 'mercy', 'or', 'no', 'mercy', 'agents', 'in', 'a', 'network', 'we', 'present', 'the', 'computational', 'simulation', 'results', 'in', 'the', 'spatiotemporal', 'evolution', 'game', 'theory', 'frame', 'to', 'prove', 'the', 'above', 'argument', 'here', 'mercy', 'or', 'as', 'love', 'thy', 'neighbors', 'means', 'the', 'agents', 'with', 'mercy', 'preference', 'might', 'share', 'his', 'own', 'fitness', 'with', 'his', 'poorest', 'neighbor', 'who', 'poorer', 'than', 'himself']] | [-0.13652181274612457, 0.08021579795034535, -0.11341317036365865, 0.10111084459517825, -0.1718487931718399, -0.2530488270357341, 0.19921610005766557, 0.3921595177422446, -0.21173832471291704, -0.3025763408696077, 0.019489969943190015, -0.3094686502702983, -0.2139995848866606, -0.008845187984519156, -0.1499769357257489, -0.13319490897098937, 0.0675946285973404, 0.07317278744002063, 0.12070542527082186, -0.3380275137767375, 0.28689702339919215, 0.09098640409949045, 0.24267535485574102, -0.035130505377135, 0.07979985722901681, 0.023748744963612182, -0.016680342100381135, 0.02940375963646739, -0.11703422861582255, 0.06400843659634646, 0.31990178751321624, 0.19821583556785552, 0.4822137681655137, -0.4640933559107852, -0.16572823442752943, 0.15145960072874573, 0.13303787579917045, 0.1306764721556241, -0.007084737801840192, -0.3268739517823041, 0.04070453762065574, -0.24413471843476453, -0.12386847438896637, -0.041828705213195365, -0.02958400978661894, 0.041108812847881614, -0.24610364009592547, 0.0457298974744998, 0.03731062285130821, 0.14040449921445675, -0.0691317780033113, -0.13311065917453133, -0.08771808899333139, 0.19351443709175842, 0.10065381316445678, -0.04665386376633163, 0.17497394981244244, -0.14189583953492432, -0.19214716422966266, 0.35592776384339275, 0.00157212963414025, -0.16570337617724953, 0.2306619670847992, -0.14880220998213234, -0.12310989367977593, 0.03368883217539055, 0.11383948589574142, 0.04444046627943325, -0.10198664046958628, -0.05591863838756592, -0.04270328319889594, 0.17895993678998875, 0.11680497466979256, 0.016612305843091785, 0.1706973968006401, 0.13779573848313956, 0.11170024600957172, 0.005667692344882582, 0.05950836612596121, -0.16515179518161408, -0.16943957420425063, -0.11682705975036664, -0.11116514273032725, 0.07645724315465574, -0.10807184667269705, -0.07332227786397, 0.3113391869981964, 0.13307588303977824, 0.0747328172830573, 0.15093054608946824, 0.25182717596461257, 0.010561098404935595, 0.03964592731860747, 0.06705978373626628, 0.1942162361130657, -0.012823743801788393, 0.1150952861812639, -0.22684818208890867, 0.21286079523445342, 0.02260358302842781] |
711.3838 | The \Delta contribution to the parity-violating nucleon-nucleon force | Because the nucleon may be excited and transformed into a virtual $\Delta$
resonance easily, we consider the decuplet contribution to the parity-violating
(PV) nucleon-nucleon interaction in the chiral effective field theory. The
effective PV nucleon-nucleon potential is derived without introducing any
unknown coupling constants.
| nucl-th | because the nucleon may be excited and transformed into a virtual delta resonance easily we consider the decuplet contribution to the parityviolating pv nucleonnucleon interaction in the chiral effective field theory the effective pv nucleonnucleon potential is derived without introducing any unknown coupling constants | [['because', 'the', 'nucleon', 'may', 'be', 'excited', 'and', 'transformed', 'into', 'a', 'virtual', 'delta', 'resonance', 'easily', 'we', 'consider', 'the', 'decuplet', 'contribution', 'to', 'the', 'parityviolating', 'pv', 'nucleonnucleon', 'interaction', 'in', 'the', 'chiral', 'effective', 'field', 'theory', 'the', 'effective', 'pv', 'nucleonnucleon', 'potential', 'is', 'derived', 'without', 'introducing', 'any', 'unknown', 'coupling', 'constants']] | [-0.15057768449398942, 0.26406608896583994, -0.06706223588182846, 0.12337678130345674, -0.08790415931831706, -0.1397353311979466, 0.020922398117942397, 0.30089451817118307, -0.24034387355839665, -0.2706441841807894, -0.09219484935271215, -0.2992784433617172, -0.09218407346105034, 0.05752347327176143, 0.0927820101867176, 0.0021906527981627733, 0.016631228537087074, 0.08852593761614778, -0.009186856197299097, -0.13015829807740043, 0.3534023433352228, -0.04347513362087987, 0.1691755007063462, 0.20646314377981154, 0.029042865213176065, 0.10267173548345454, 0.035162233070216396, -0.016669647027315063, -0.07222401683049445, 0.13879753714850682, 0.2637029825511325, -0.010752199207093905, 0.1309037029912526, -0.4484033615497703, -0.1902471330355514, 0.13477945124561136, 0.160744069757956, 0.19128728154200045, -0.03468182816339487, -0.3490128993501209, 0.03780146408296952, -0.2520637463100932, -0.19151123437437823, -0.1525536637583917, 0.007975819978376174, -0.03896416845435107, -0.37677103975279763, 0.019638813935505987, -0.07040389751041816, 0.03684836471537975, -0.13801077359609984, -0.20337361031719906, -0.035810267214070664, 0.08077264245895838, 0.07636684922512028, 0.11831557353831489, 0.17141472083643416, -0.1909243390387432, -0.035191121098416094, 0.4462677891027521, -0.07204042828049172, -0.22209484433882276, 0.0199662563549778, -0.077525852618485, -0.08808803686406463, 0.12096171656792815, 0.20008386334203268, 0.04925830448469655, -0.2470644566188143, 0.17008312325792344, 0.06418281289833513, 0.19123840621746654, 0.06001744764349, 0.04715082101227546, 0.17830701877193694, 0.07985818697224287, -0.04702482891099697, 0.0728335683207578, -0.0698651252949441, -0.10389230290258472, -0.342594177885489, -0.039211085426028476, -0.17859147358897395, 0.08546065635428848, -0.11225373013208313, -0.07865235757675361, 0.38058427355082874, 0.09728284274619496, 0.1642924207421443, -0.044128448152067984, 0.3404966315085238, 0.20680222088677427, 0.1612690317931331, 0.013142085454257374, 0.35821541386063804, 0.19102464294569058, 0.09639133954293687, -0.31350202273196454, 0.006009353769265793, 0.09756523102987558] |
711.3839 | The Stochastic Green Function (SGF) algorithm | We present the Stochastic Green Function (SGF) algorithm designed for bosons
on lattices. This new quantum Monte Carlo algorithm is independent of the
dimension of the system, works in continuous imaginary time, and is exact (no
error beyond statistical errors). Hamiltonians with several species of bosons
(and one-dimensional Bose-Fermi Hamiltonians) can be easily simulated. Some
important features of the algorithm are that it works in the canonical ensemble
and gives access to n-body Green functions.
| cond-mat.stat-mech | we present the stochastic green function sgf algorithm designed for bosons on lattices this new quantum monte carlo algorithm is independent of the dimension of the system works in continuous imaginary time and is exact no error beyond statistical errors hamiltonians with several species of bosons and onedimensional bosefermi hamiltonians can be easily simulated some important features of the algorithm are that it works in the canonical ensemble and gives access to nbody green functions | [['we', 'present', 'the', 'stochastic', 'green', 'function', 'sgf', 'algorithm', 'designed', 'for', 'bosons', 'on', 'lattices', 'this', 'new', 'quantum', 'monte', 'carlo', 'algorithm', 'is', 'independent', 'of', 'the', 'dimension', 'of', 'the', 'system', 'works', 'in', 'continuous', 'imaginary', 'time', 'and', 'is', 'exact', 'no', 'error', 'beyond', 'statistical', 'errors', 'hamiltonians', 'with', 'several', 'species', 'of', 'bosons', 'and', 'onedimensional', 'bosefermi', 'hamiltonians', 'can', 'be', 'easily', 'simulated', 'some', 'important', 'features', 'of', 'the', 'algorithm', 'are', 'that', 'it', 'works', 'in', 'the', 'canonical', 'ensemble', 'and', 'gives', 'access', 'to', 'nbody', 'green', 'functions']] | [-0.11220210952373842, 0.12136932863543431, -0.12181539816781878, 0.1293013852663959, -0.023671897314488887, -0.1741987976928552, 0.029826876763254403, 0.43485804706811904, -0.21681077383458613, -0.2589824249595404, 0.05636925799461703, -0.2484749964872996, -0.15640046656131745, 0.2182928217947483, 0.014379238511125247, 0.1432099890584747, 0.08823804028953115, -0.02706851516229411, -0.0852029300077508, -0.30772363031903904, 0.26434282617643473, 0.08418639506058147, 0.20038818094879388, -0.004147628576805194, 0.09324266843497753, 0.049359020687018834, 0.0017623052870233853, -0.02670442120327304, -0.10925389269104926, 0.08532490696758031, 0.23080133475363254, 0.10816528871102492, 0.25116339422762396, -0.3820714669302106, -0.19146356479575236, 0.15006988428533077, 0.17515653215930796, 0.19814120709896088, -0.017930902088992298, -0.29649267879625163, 0.020811371706853, -0.15931897150973479, -0.13722611960023642, -0.11021612397084633, -0.02183501398190856, 0.05568625663096706, -0.28446817213048536, 0.09097837885841727, 0.025944585750500362, 0.06168868508189917, -0.016043698241313298, -0.15575328262367596, 0.03598606708769997, 0.08530467777668188, -0.020772130330248426, 0.023203161861747503, 0.12812785159175594, -0.07296319701708853, -0.16296362062295278, 0.3605435540837546, -0.05186463102387885, -0.22941638990615806, 0.2205938561881582, -0.0930989781829218, -0.1482682151409487, 0.14068563813964527, 0.1667186146477858, 0.09098432616641124, -0.1856545580178499, 0.1678477367425027, -0.06172876238822937, 0.14906528779266712, -0.025748850324501592, 0.03132187314176311, 0.14085982764760654, 0.11559246738130848, 0.06520305254884685, 0.16439682260000457, -0.02833155863918364, -0.18809843863050144, -0.2739750912288825, -0.17098257285077126, -0.25700129418323436, 0.03453480842212836, -0.0966869734408101, -0.18929805994033813, 0.40121947390337787, 0.19393672995346908, 0.15927529440571864, 0.0970202346270283, 0.3077062096695105, 0.13421407128373783, 0.0713314979026715, 0.0737507581152022, 0.15433489821424398, 0.11512741800708075, 0.06372012284584344, -0.2330873776972294, -0.0027868981659412385, 0.11634482733284433] |
711.384 | Eigenvalue Correlations in Continuum one-dimensional Anderson Models | The methods used to prove the main result must be incorrect, as they can be
used to arrive at a contradiction with previously known results. Thus the paper
was withdrawn.
| math-ph math.MP | the methods used to prove the main result must be incorrect as they can be used to arrive at a contradiction with previously known results thus the paper was withdrawn | [['the', 'methods', 'used', 'to', 'prove', 'the', 'main', 'result', 'must', 'be', 'incorrect', 'as', 'they', 'can', 'be', 'used', 'to', 'arrive', 'at', 'a', 'contradiction', 'with', 'previously', 'known', 'results', 'thus', 'the', 'paper', 'was', 'withdrawn']] | [-0.020612326388557752, 0.04483876323016981, -0.1792171215172857, 0.10123703400604427, -0.11197888037810723, -0.13165830965153874, 0.005858881496048222, 0.35508335530757906, -0.29717862692972025, -0.38092517995586, 0.1405052317927281, -0.23802582199374836, -0.1259911020596822, 0.2054751217365265, -0.2110228222173949, 0.0732186257528762, 0.06032981214423974, 0.03595285974442959, -0.028594977552226435, -0.3425094158699115, 0.2684268269687891, 0.08636283998688062, 0.1974016015107433, 0.10236517482747634, -0.00018371205466488998, -0.08010627585463226, -0.027477217682947714, 0.06750739996011058, -0.10584975571061174, 0.07352495056887468, 0.3240791878973444, 0.07688524619831393, 0.2856272739668687, -0.44893691688776016, -0.19049002435058354, 0.12145174431692188, 0.21214560034374397, 0.1972004440613091, 0.0072633461949105065, -0.30162855616460243, 0.17938755933816233, -0.17292986602988095, -0.22469242674609025, -0.03754173979784051, -0.06548898566203813, -0.02429122170433402, -0.25869516680637994, 0.03182500215868155, 0.10847486282388369, -0.026142532005906105, -0.025500168581493197, -0.15967576190208396, 0.001225491411363085, 0.2017486584528039, 0.1272161182637016, 0.1271634796789537, 0.05989803709089756, 0.017280624806880952, -0.15473903622478247, 0.40408586263656615, -0.033587609355648355, -0.19972209967672824, 0.23093073666095734, -0.058496551712354024, -0.12164704430227478, 0.10547963595017791, 0.11022409874324997, 0.10695938325176636, -0.18961928691715002, -0.00768534253584221, -0.037136894464492795, 0.18301084370662768, 0.10935045902927716, -0.024547689594328403, 0.1709447528546055, 0.06868146432874103, 0.01826214880372087, 0.1323010346231361, -0.01971557584280769, 0.027251845062710344, -0.2972878471016884, -0.13924926148417097, -0.22612410715470713, 0.066083521139808, 0.06975090696165959, -0.0755723643116653, 0.2695821486413479, 0.22622778553826114, 0.2139018217722575, 0.0425728273888429, 0.27128888117149474, 0.18644811438862235, 0.1218710442384084, 0.06460226178169251, 0.2983391961703698, 0.1142774178336064, 0.12942529125139118, -0.06384004472444454, 0.1944248993260165, 0.09588393444816272] |
711.3841 | On the Induction Operation for Shift Subspaces and Cellular Automata as
Presentations of Dynamical Systems | We consider continuous, translation-commuting transformations of compact,
translation-invariant families of mappingsfrom finitely generated groups into
finite alphabets. It is well-known that such transformations and spaces can be
described "locally" via families of patterns and finitary functions; such
descriptions can be re-used on groups larger than the original, usually
defining non-isomorphic structures. We show how some of the properties of the
"induced" entities can be deduced from those of the original ones, and vice
versa; then, we show how to "simulate" the smaller structure into the larger
one, and obtain a characterization in terms of group actions for the dynamical
systems admitting of presentations via structures as such. Special attention is
given to the class of sofic shifts.
| math.DS | we consider continuous translationcommuting transformations of compact translationinvariant families of mappingsfrom finitely generated groups into finite alphabets it is wellknown that such transformations and spaces can be described locally via families of patterns and finitary functions such descriptions can be reused on groups larger than the original usually defining nonisomorphic structures we show how some of the properties of the induced entities can be deduced from those of the original ones and vice versa then we show how to simulate the smaller structure into the larger one and obtain a characterization in terms of group actions for the dynamical systems admitting of presentations via structures as such special attention is given to the class of sofic shifts | [['we', 'consider', 'continuous', 'translationcommuting', 'transformations', 'of', 'compact', 'translationinvariant', 'families', 'of', 'mappingsfrom', 'finitely', 'generated', 'groups', 'into', 'finite', 'alphabets', 'it', 'is', 'wellknown', 'that', 'such', 'transformations', 'and', 'spaces', 'can', 'be', 'described', 'locally', 'via', 'families', 'of', 'patterns', 'and', 'finitary', 'functions', 'such', 'descriptions', 'can', 'be', 'reused', 'on', 'groups', 'larger', 'than', 'the', 'original', 'usually', 'defining', 'nonisomorphic', 'structures', 'we', 'show', 'how', 'some', 'of', 'the', 'properties', 'of', 'the', 'induced', 'entities', 'can', 'be', 'deduced', 'from', 'those', 'of', 'the', 'original', 'ones', 'and', 'vice', 'versa', 'then', 'we', 'show', 'how', 'to', 'simulate', 'the', 'smaller', 'structure', 'into', 'the', 'larger', 'one', 'and', 'obtain', 'a', 'characterization', 'in', 'terms', 'of', 'group', 'actions', 'for', 'the', 'dynamical', 'systems', 'admitting', 'of', 'presentations', 'via', 'structures', 'as', 'such', 'special', 'attention', 'is', 'given', 'to', 'the', 'class', 'of', 'sofic', 'shifts']] | [-0.09467301652969226, 0.1863812684243464, -0.08373008835250917, 0.1083856627608285, -0.09219765224210594, -0.10309737511890252, -0.002769030800656132, 0.39768061822523243, -0.3431291419526805, -0.24664423986459555, 0.11718339680430843, -0.25839474081547686, -0.1637648963065737, 0.25397939652042545, -0.07608699458853706, -0.03434072711464504, 0.031514786891436775, 0.09546590173293067, -0.1273872734391657, -0.25048476098024325, 0.3798958228820044, -0.038044391374063236, 0.24054542252712924, -0.015180864270128634, 0.07586316077403077, 0.011924010061699412, -0.03194139235369537, 0.0772673694335896, -0.10267230783337374, 0.11982960922481573, 0.28275110263620384, 0.14833695505867187, 0.2090672823580225, -0.39140176303360774, -0.21602829250041394, 0.181324383324903, 0.11753684226423503, 0.10688831953574782, -0.027940271500214612, -0.3243727807765422, 0.11635108353043704, -0.18311061345486213, -0.08846569577960864, -0.11802466998038733, 0.025840298149167842, 0.058298209301479484, -0.21736850653542206, 0.008505308565319232, 0.11928872446929428, 0.05704876894293272, -0.06564900009366481, -0.0873191736638546, -0.07351731218640571, 0.15823323418102833, -0.0036204138051961427, -0.04273553857296381, 0.11318796702620128, -0.06812980346705602, -0.13200331375245813, 0.44702689208333257, -0.03674925198340687, -0.2548345128317242, 0.21338866652677888, -0.13342978715005777, -0.14449366515340364, 0.11114244975412832, 0.17081211364787557, 0.140097364578801, -0.08987887774685235, 0.0777360325862031, -0.07640150544921989, 0.1419899535122449, 0.0994524112376182, 0.07482682513073087, 0.15765102287025556, 0.08951311456748164, 0.06761627737027795, 0.20960309447254985, 0.07581573893801997, -0.0621517277459371, -0.2814743120415622, -0.1355692053132731, -0.11280398227416141, 0.07268947281915208, -0.07270247102057076, -0.16715984653337332, 0.4070161581525336, 0.07746025003573817, 0.19856112837872428, 0.08030512421796827, 0.22306997754975505, 0.09775993655253526, 0.11338814624038565, 0.052412333311108145, 0.12089472884924718, 0.12761627728848354, -0.05726756957035674, -0.12145945250623576, 0.03808922776446232, 0.14532790812461271] |
711.3842 | Spectral Properties of a Magnetic Quantum Hamiltonian on a Strip | We consider a 2D Schroedinger operator H0 with constant magnetic field, on a
strip of finite width. The spectrum of H0 is absolutely continuous, and
contains a discrete set of thresholds. We perturb H0 by an electric potential V
which decays in a suitable sense at infinity, and study the spectral properties
of the perturbed operator H = H0 + V . First, we establish a Mourre estimate,
and as a corollary prove that the singular continuous spectrum of H is empty,
and any compact subset of the complement of the threshold set may contain at
most a finite set of eigenvalues of H, each of them having a finite
multiplicity. Next, we introduce the Krein spectral shift function (SSF) for
the operator pair (H,H0). We show that this SSF is bounded on any compact
subset of the complement of the threshold set, and is continuous away from the
threshold set and the eigenvalues of H. The main results of the article concern
the asymptotic behaviour of the SSF at the thresholds, which is described in
terms of the SSF for a pair of effective Hamiltonians.
| math-ph math.MP | we consider a 2d schroedinger operator h0 with constant magnetic field on a strip of finite width the spectrum of h0 is absolutely continuous and contains a discrete set of thresholds we perturb h0 by an electric potential v which decays in a suitable sense at infinity and study the spectral properties of the perturbed operator h h0 v first we establish a mourre estimate and as a corollary prove that the singular continuous spectrum of h is empty and any compact subset of the complement of the threshold set may contain at most a finite set of eigenvalues of h each of them having a finite multiplicity next we introduce the krein spectral shift function ssf for the operator pair hh0 we show that this ssf is bounded on any compact subset of the complement of the threshold set and is continuous away from the threshold set and the eigenvalues of h the main results of the article concern the asymptotic behaviour of the ssf at the thresholds which is described in terms of the ssf for a pair of effective hamiltonians | [['we', 'consider', 'a', '2d', 'schroedinger', 'operator', 'h0', 'with', 'constant', 'magnetic', 'field', 'on', 'a', 'strip', 'of', 'finite', 'width', 'the', 'spectrum', 'of', 'h0', 'is', 'absolutely', 'continuous', 'and', 'contains', 'a', 'discrete', 'set', 'of', 'thresholds', 'we', 'perturb', 'h0', 'by', 'an', 'electric', 'potential', 'v', 'which', 'decays', 'in', 'a', 'suitable', 'sense', 'at', 'infinity', 'and', 'study', 'the', 'spectral', 'properties', 'of', 'the', 'perturbed', 'operator', 'h', 'h0', 'v', 'first', 'we', 'establish', 'a', 'mourre', 'estimate', 'and', 'as', 'a', 'corollary', 'prove', 'that', 'the', 'singular', 'continuous', 'spectrum', 'of', 'h', 'is', 'empty', 'and', 'any', 'compact', 'subset', 'of', 'the', 'complement', 'of', 'the', 'threshold', 'set', 'may', 'contain', 'at', 'most', 'a', 'finite', 'set', 'of', 'eigenvalues', 'of', 'h', 'each', 'of', 'them', 'having', 'a', 'finite', 'multiplicity', 'next', 'we', 'introduce', 'the', 'krein', 'spectral', 'shift', 'function', 'ssf', 'for', 'the', 'operator', 'pair', 'hh0', 'we', 'show', 'that', 'this', 'ssf', 'is', 'bounded', 'on', 'any', 'compact', 'subset', 'of', 'the', 'complement', 'of', 'the', 'threshold', 'set', 'and', 'is', 'continuous', 'away', 'from', 'the', 'threshold', 'set', 'and', 'the', 'eigenvalues', 'of', 'h', 'the', 'main', 'results', 'of', 'the', 'article', 'concern', 'the', 'asymptotic', 'behaviour', 'of', 'the', 'ssf', 'at', 'the', 'thresholds', 'which', 'is', 'described', 'in', 'terms', 'of', 'the', 'ssf', 'for', 'a', 'pair', 'of', 'effective', 'hamiltonians']] | [-0.13249917816411438, 0.11732128891202334, -0.06327824273574181, 0.033110056774146204, -0.053209599608789536, -0.10414227515794948, 0.05823765899744292, 0.34493942026435676, -0.26587230883999297, -0.19676756042518903, 0.09159695491057317, -0.3008984290368733, -0.08399745037230852, 0.14990226230253287, -0.011059505167758204, 0.0403816911571308, 0.08184809896896486, 0.1464919228834492, -0.057089732886709356, -0.16952490321579364, 0.3936350956416684, -0.029553212444272524, 0.1859290802322043, 0.0713875189708556, 0.08321759301648714, 0.013228591844500577, -0.013484598577653613, 0.01658535918699262, -0.15262215488116052, 0.09730997907069049, 0.18635634406943058, 0.09679561990180913, 0.2967105259090825, -0.3136283202463242, -0.18118576435728476, 0.1912771086717442, 0.1253294423069866, 0.0552654459721363, -0.009327779882816507, -0.28088557948180237, 0.1365791421416699, -0.12288573485305482, -0.18923485950984142, -0.009508988326364527, 0.050450039216408844, 0.0266791004420365, -0.30979522654552605, 0.05596447467458526, 0.08626896999216552, 0.04237626193478052, -0.058847548449004854, -0.12205599275382002, -0.06175116952534134, 0.09800060370763958, -0.021141264892356276, 0.054765851909289634, 0.09668737868498502, -0.0885754271480064, -0.07969395001355274, 0.34672656503271904, -0.12328997643695014, -0.19707301476349434, 0.15568997652417488, -0.18795973021038326, -0.1035100244458948, 0.1234945578136751, 0.13884109313742263, 0.1334401718595274, -0.10145114857672913, 0.19440636321043633, -0.048044873045279025, 0.12448420961860751, 0.06617675063103601, 0.047762452244320935, 0.1494060191809317, 0.11503384712462623, 0.15319819444067817, 0.1370764538617754, -0.07810530694449051, -0.008833670678238073, -0.4225932121521137, -0.16232501878275898, -0.22382601774221317, 0.07652222820051278, -0.0879599033987539, -0.229734665202621, 0.4357975576011861, 0.07272613463640885, 0.26157058048688, 0.06064046875197094, 0.22517770572560405, 0.18689492195146476, 0.006701862054006731, 0.08132718854629603, 0.18197686608901115, 0.15010256082827195, 0.03694944530012992, -0.2102531784791703, -0.01467350250888677, 0.11017412132393668] |
711.3843 | SFT-inspired Algebraic Structures in Gauge Theories | We consider gauge theories in a String Field Theory-inspired formalism. The
constructed algebraic operations lead in particular to homotopy algebras of the
related BV theories. We discuss invariant description of the gauge fixing
procedure and special algebraic features of gauge theories coupled to matter
fields.
| hep-th math-ph math.MP math.QA | we consider gauge theories in a string field theoryinspired formalism the constructed algebraic operations lead in particular to homotopy algebras of the related bv theories we discuss invariant description of the gauge fixing procedure and special algebraic features of gauge theories coupled to matter fields | [['we', 'consider', 'gauge', 'theories', 'in', 'a', 'string', 'field', 'theoryinspired', 'formalism', 'the', 'constructed', 'algebraic', 'operations', 'lead', 'in', 'particular', 'to', 'homotopy', 'algebras', 'of', 'the', 'related', 'bv', 'theories', 'we', 'discuss', 'invariant', 'description', 'of', 'the', 'gauge', 'fixing', 'procedure', 'and', 'special', 'algebraic', 'features', 'of', 'gauge', 'theories', 'coupled', 'to', 'matter', 'fields']] | [-0.20469117609577048, 0.16347494301282697, -0.13344338627325164, 0.16632022621730963, -0.11231644948323567, -0.19113782142392463, -0.029036302047057285, 0.3100956782905592, -0.24543959093797538, -0.2610400291159749, 0.012741512769005365, -0.1685869295615703, -0.1769622114797433, 0.07730614795453018, -0.13550610341545608, -0.003981646854016516, -0.031083102845069436, 0.09571531851672464, -0.16408662791881296, -0.3006137110137691, 0.3928036570549011, -0.04270391462681194, 0.2451865319923349, -0.006922481560872661, 0.12077052613927258, 0.04850881061413222, -0.08543602348201805, 0.03912082758421699, -0.1656572162070208, 0.11245201687431998, 0.2706257746451431, 0.08854272129635016, 0.11023928293337425, -0.45437997082869214, -0.18243073425773118, 0.09547831316788992, 0.12842106092721223, 0.15954484291788604, 0.005973788123163912, -0.30301876440644265, 0.027186007244098517, -0.18152581482297844, -0.1466619369858462, -0.140013244913684, -0.03205293031771564, -0.07571924006462925, -0.2178660322705077, -0.008464947948232293, -0.013055156241171062, 0.13122099954117503, -0.07857960708853272, -0.0046358978531012935, -0.03802165317659577, -0.0020551208096245923, 0.11706278006184018, 0.08871226692572236, 0.16771155593709813, -0.2300642521534529, -0.1807715662651592, 0.43547374622689355, -0.05699399152977599, -0.2324944753613737, 0.13781609965695274, -0.08197638847761685, -0.2864757060797678, 0.047916629136953916, 0.10564084417290158, 0.17952469831539525, -0.09557161689218548, 0.30003925185107316, -0.027782948604888388, 0.04501440976228979, 0.07267000495145719, 0.08968551454858648, 0.21565354300869835, 0.029820099260864985, -0.010678382228232093, 0.1371021686328782, 0.0899026023534437, -0.14787373797347148, -0.433081773089038, -0.136629793388824, -0.010878894467734629, 0.1066040901415464, -0.10846368246162051, -0.21270983864863713, 0.42780113013254273, 0.18153856214549807, 0.08698770748451352, 0.07565184612241056, 0.14489814105133217, 0.12275598338908619, 0.11713404952444964, -0.017283454164862634, 0.177153921375672, 0.3214555513527658, 0.016334666260000734, -0.20219374510278512, -0.20701650562178758, 0.23336592072414028] |
711.3844 | Spatially Resolved Molecular Hydrogen Emission in the Inner 200AU
Environments of Classical T Tauri Stars | We present 2.0-2.4micron integral field spectroscopy at adaptive optics
spatial resolution (~0.''1) obtained with the Near-infrared Integral Field
Spectrograph (NIFS) at Gemini North Observatory of six Classical T Tauri stars:
T Tau, DG Tau, XZ Tau, HL Tau, RW Aur and HV Tau C. In all cases, the v=1-0
S(1) (2.12 micron) emission is detected at spatially extended distances from
the central stars. The bulk of the H_2 emission is typically not spatially
coincident with the location of continuum flux. Multiple transitions detected
in the K-band spectra show that H_2 level populations are typical of gas in
thermal equilibrium with excitation temperatures in the 1800K-2300 K range.
Three of the stars have H_2 velocity profiles that are centered at the stellar
radial velocity, and three show velocity shifts with respect to the system.
Each of the stars studied here show observed excitation temperatures, spatial
extents, and kinematics of the H_2 that are most consistent with shock excited
emission from the inner regions of the known Herbig-Haro energy flows or from
wide-angle winds encompassing the outflows rather than predominantly from UV or
X-ray stimulated emission from the central stars. The data presented in this
study highlights the sensitivity of adaptive optics-fed integral field
spectroscopy for spatially resolving emission line structures in the
environments of bright young stars.
| astro-ph | we present 2024micron integral field spectroscopy at adaptive optics spatial resolution 01 obtained with the nearinfrared integral field spectrograph nifs at gemini north observatory of six classical t tauri stars t tau dg tau xz tau hl tau rw aur and hv tau c in all cases the v10 s1 212 micron emission is detected at spatially extended distances from the central stars the bulk of the h_2 emission is typically not spatially coincident with the location of continuum flux multiple transitions detected in the kband spectra show that h_2 level populations are typical of gas in thermal equilibrium with excitation temperatures in the 1800k2300 k range three of the stars have h_2 velocity profiles that are centered at the stellar radial velocity and three show velocity shifts with respect to the system each of the stars studied here show observed excitation temperatures spatial extents and kinematics of the h_2 that are most consistent with shock excited emission from the inner regions of the known herbigharo energy flows or from wideangle winds encompassing the outflows rather than predominantly from uv or xray stimulated emission from the central stars the data presented in this study highlights the sensitivity of adaptive opticsfed integral field spectroscopy for spatially resolving emission line structures in the environments of bright young stars | [['we', 'present', '2024micron', 'integral', 'field', 'spectroscopy', 'at', 'adaptive', 'optics', 'spatial', 'resolution', '01', 'obtained', 'with', 'the', 'nearinfrared', 'integral', 'field', 'spectrograph', 'nifs', 'at', 'gemini', 'north', 'observatory', 'of', 'six', 'classical', 't', 'tauri', 'stars', 't', 'tau', 'dg', 'tau', 'xz', 'tau', 'hl', 'tau', 'rw', 'aur', 'and', 'hv', 'tau', 'c', 'in', 'all', 'cases', 'the', 'v10', 's1', '212', 'micron', 'emission', 'is', 'detected', 'at', 'spatially', 'extended', 'distances', 'from', 'the', 'central', 'stars', 'the', 'bulk', 'of', 'the', 'h_2', 'emission', 'is', 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'rather', 'than', 'predominantly', 'from', 'uv', 'or', 'xray', 'stimulated', 'emission', 'from', 'the', 'central', 'stars', 'the', 'data', 'presented', 'in', 'this', 'study', 'highlights', 'the', 'sensitivity', 'of', 'adaptive', 'opticsfed', 'integral', 'field', 'spectroscopy', 'for', 'spatially', 'resolving', 'emission', 'line', 'structures', 'in', 'the', 'environments', 'of', 'bright', 'young', 'stars']] | [-0.06681438720432009, 0.13589298535802974, -0.04434451395252221, 0.044428835463920006, -0.04180430523185453, -0.10652863096550737, -0.017313803618275364, 0.48456694196227573, -0.2131953453923851, -0.29368726336949247, 0.043918000457113165, -0.2851522523743656, 0.0374710440139413, 0.16851259393949813, 0.03511007483655088, -0.057057548931935376, 0.0762200130503887, -0.053927503027209896, -0.016223066027042293, -0.16227087875589852, 0.3102539816145466, 0.040997343806838484, 0.12573914474068743, -0.03005455176787617, 0.04662784238995223, -0.1204364068845523, -0.09066543960287957, 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711.3845 | Differential graded versus Simplicial categories | We construct a zig-zag of Quillen adjunctions between the homotopy theories
of differential graded and simplicial categories. In an intermediate step we
generalize Shipley-Schwede's work on connective DG algebras by extending the
Dold-Kan correspondence to a Quillen equivalence between categories enriched
over positive graded chain complexes and simplicial k-modules.
As an application we obtain a conceptual explanation of Simpson's homotopy
fiber construction.
| math.KT math.AT | we construct a zigzag of quillen adjunctions between the homotopy theories of differential graded and simplicial categories in an intermediate step we generalize shipleyschwedes work on connective dg algebras by extending the doldkan correspondence to a quillen equivalence between categories enriched over positive graded chain complexes and simplicial kmodules as an application we obtain a conceptual explanation of simpsons homotopy fiber construction | [['we', 'construct', 'a', 'zigzag', 'of', 'quillen', 'adjunctions', 'between', 'the', 'homotopy', 'theories', 'of', 'differential', 'graded', 'and', 'simplicial', 'categories', 'in', 'an', 'intermediate', 'step', 'we', 'generalize', 'shipleyschwedes', 'work', 'on', 'connective', 'dg', 'algebras', 'by', 'extending', 'the', 'doldkan', 'correspondence', 'to', 'a', 'quillen', 'equivalence', 'between', 'categories', 'enriched', 'over', 'positive', 'graded', 'chain', 'complexes', 'and', 'simplicial', 'kmodules', 'as', 'an', 'application', 'we', 'obtain', 'a', 'conceptual', 'explanation', 'of', 'simpsons', 'homotopy', 'fiber', 'construction']] | [-0.15413751024142153, -0.020453884086445676, -0.06593333745039388, 0.1487443562535966, -0.12528908205672823, -0.19391349148096854, -0.017356182769185206, 0.43530088937917694, -0.4284828803502023, -0.19291873847241284, -0.004034261801280081, -0.17512608472196783, -0.15596639317246613, 0.10055319244255785, -0.24944352431864034, -0.16517592513109328, 0.07704945009384977, 0.05121820140630007, -0.0691505366569904, -0.22187709075505616, 0.4586424779940824, -0.00516081154422804, 0.221617811021312, 0.04588416673349919, 0.14736464584521095, -0.022187945745946444, -0.015726807847863337, 0.03415025378287327, -0.23572110691581105, 0.2304515383496392, 0.3822483186472635, 0.014949205827700799, 0.1748209969659687, -0.36046241956656094, -0.04366157992817385, 0.14962719757964865, 0.1217790824345878, 0.06311931154217387, 0.010661991349360371, -0.3607946575359731, 0.10524365312007607, -0.28603834535193734, -0.0470545628226408, -0.07542417984700105, 0.07903541187893172, -0.00451145840228581, -0.23064824616628105, -0.09182861995058836, 0.11715067646725745, 0.20391888487473375, -0.09083581664675816, -0.0075974752973826205, -0.10214993433996303, 0.08876369330940433, -0.07201010926977777, -0.06311129388727675, 0.11768618228341468, -0.0677831870671667, -0.23513152569410253, 0.3245149404726556, -0.092753798227574, -0.1734281462601951, 0.15663981773569935, -0.07347036323597898, -0.19162572853145052, 0.1336987709901372, -0.10366000693108214, 0.1750596634677199, 0.012265670968250174, 0.20211635114525858, -0.14167685652548662, 0.05386600144909787, 0.18027111516929553, -0.020002933509159285, 0.1643403537579064, 0.18005804115997964, 0.07115221243412768, 0.16837449048141964, 0.07004969710957443, -0.09959984916552413, -0.34216762419606817, -0.2737154386156109, -0.010163609518623743, 0.17300876433441995, -0.15564194220055247, -0.21401688816850303, 0.3878553350013299, 0.11437970966428529, 0.20176006762356666, 0.2310042986188267, 0.2248120066694549, -0.052271785876774765, 0.06417489593054672, -0.11644466567143309, 0.08334825520754838, 0.40067528417624043, 0.010844132822907727, -0.004031804947518423, -0.05268534466044092, 0.348666486929583] |
711.3846 | Similarity Renormalization Group for Few-Body Systems | Internucleon interactions evolved via flow equations yield soft potentials
that lead to rapid variational convergence in few-body systems.
| nucl-th | internucleon interactions evolved via flow equations yield soft potentials that lead to rapid variational convergence in fewbody systems | [['internucleon', 'interactions', 'evolved', 'via', 'flow', 'equations', 'yield', 'soft', 'potentials', 'that', 'lead', 'to', 'rapid', 'variational', 'convergence', 'in', 'fewbody', 'systems']] | [-0.11722732490549485, 0.18229217785927984, -0.22641208164148136, 0.13107781345024705, -0.009531120950770047, -0.17013182511760128, -0.04818965786964529, 0.3491317845053143, -0.3038936524341504, -0.22716476364682117, -0.013526777394064184, -0.25083236520489055, -0.1526303959803449, 0.16203968082037237, 0.04231017662419213, 0.14731912257977658, 0.2281974024242825, -0.06674722437229422, -0.07805317287178089, -0.19122007709100014, 0.3011235440563824, -0.01854516089790397, 0.19535174443283015, 0.09402770362794399, 0.050276518126742706, 0.025856471258319087, 0.1277792643652194, -0.023908335767272446, -0.09565284606530138, 0.15129005179430047, 0.2456776927380512, 0.04233052415980233, 0.24191969591710302, -0.5627742051664326, -0.27341404112262857, 0.09087030310183764, 0.23052950493163532, 0.15059570450749662, -0.11171653390758568, -0.29338608785635895, -0.02501965779811144, -0.2658610945153568, -0.19209837173629138, -0.300517405072848, 0.0044569481785098715, 0.15751454601478246, -0.27750506510751116, 0.2172242859378457, 0.015175803512748744, 0.0421453818368415, -0.12830869336095121, -0.07214854807696408, 0.02635996632872977, 0.06434392453067833, 0.08011322767318536, 0.04693045366245011, 0.18440118918402326, -0.18193544320658678, -0.07303982163365516, 0.37819981916497153, -0.04057091675026135, -0.2058798513478703, 0.3377312744657199, -0.020065354079835944, -0.17515758983790874, 0.277416978445318, 0.2749695877234141, 0.11295300784210364, -0.26406735699209904, 0.04703047121357587, 0.16277244397335583, 0.15362775299905074, 0.028070364561345842, 0.032240892475884825, 0.13102605969955525, 0.12406551289475626, 0.08702222945996457, 0.07137423112160629, 0.07910664431336853, -0.3043295306464036, -0.1997655978322857, 0.03168522359596358, -0.09830074136455853, 0.09799942933022976, -0.11549978191033006, -0.18659712886437774, 0.2724124311676456, 0.11844916395946509, 0.14051506109535694, 0.0373668986139819, 0.19093333019150627, 0.14451320469379425, 0.12285438366234303, 0.04782100456456343, 0.3903922269948655, 0.2297083627846506, 0.14381986442539427, -0.2729668251057673, 0.03154971253954702, 0.1805807482968602] |
711.3847 | Virtual Hadronic and Leptonic Contributions to Bhabha Scattering | Using dispersion relations, we derive the complete virtual QED contributions
to Bhabha scattering due to vacuum polarization effects in photon propagation.
We apply our result to hadronic corrections and to heavy lepton and top quark
loop insertions. We give the first complete estimate of their net numerical
effects for both small and large angle scattering at typical beam energies of
meson factories, LEP, and the ILC. The effects turn out to be smaller, in most
cases, than those corresponding to electron loop insertions, but stay, with
amounts of typically one per mille, of relevance for precision experiments.
Hadronic corrections themselves are typically about 2-3 times larger than those
of intermediate muon pairs (the largest heavy leptonic terms).
| hep-ph | using dispersion relations we derive the complete virtual qed contributions to bhabha scattering due to vacuum polarization effects in photon propagation we apply our result to hadronic corrections and to heavy lepton and top quark loop insertions we give the first complete estimate of their net numerical effects for both small and large angle scattering at typical beam energies of meson factories lep and the ilc the effects turn out to be smaller in most cases than those corresponding to electron loop insertions but stay with amounts of typically one per mille of relevance for precision experiments hadronic corrections themselves are typically about 23 times larger than those of intermediate muon pairs the largest heavy leptonic terms | [['using', 'dispersion', 'relations', 'we', 'derive', 'the', 'complete', 'virtual', 'qed', 'contributions', 'to', 'bhabha', 'scattering', 'due', 'to', 'vacuum', 'polarization', 'effects', 'in', 'photon', 'propagation', 'we', 'apply', 'our', 'result', 'to', 'hadronic', 'corrections', 'and', 'to', 'heavy', 'lepton', 'and', 'top', 'quark', 'loop', 'insertions', 'we', 'give', 'the', 'first', 'complete', 'estimate', 'of', 'their', 'net', 'numerical', 'effects', 'for', 'both', 'small', 'and', 'large', 'angle', 'scattering', 'at', 'typical', 'beam', 'energies', 'of', 'meson', 'factories', 'lep', 'and', 'the', 'ilc', 'the', 'effects', 'turn', 'out', 'to', 'be', 'smaller', 'in', 'most', 'cases', 'than', 'those', 'corresponding', 'to', 'electron', 'loop', 'insertions', 'but', 'stay', 'with', 'amounts', 'of', 'typically', 'one', 'per', 'mille', 'of', 'relevance', 'for', 'precision', 'experiments', 'hadronic', 'corrections', 'themselves', 'are', 'typically', 'about', '23', 'times', 'larger', 'than', 'those', 'of', 'intermediate', 'muon', 'pairs', 'the', 'largest', 'heavy', 'leptonic', 'terms']] | [-0.05055182541195208, 0.26005460689158744, -0.007051136014330336, 0.16932138436052024, -0.057971002036530495, -0.11198734266396898, 0.061198152064417415, 0.32883401819242114, -0.1920081662445958, -0.31868807925906384, 0.017435505323541853, -0.3690839591734589, 0.021284721148474954, 0.18294555268998647, 0.06156227446726372, 0.06529906697924007, 0.09505582269297069, -0.004605966345526469, -0.1019543165850461, -0.23726068121086583, 0.2818723199570663, 0.09135744360108407, 0.20796009534412724, 0.13202722527436975, 0.04557724398138941, 0.029865118846074384, -0.06173030750698641, -0.032431208008083016, -0.05000612089951706, 0.08767424772780102, 0.2047371632657332, 0.022781026394416887, 0.135617719628872, -0.43643970736581034, -0.10236947480927452, 0.11524385421210502, 0.13409229410358536, 0.14941208648821738, -0.009504534318072036, -0.25309794747199005, 0.10269103158249432, -0.19780033769714844, -0.1326711330180749, -0.07648549889588457, -0.0038288296996337227, -0.06976799024507785, -0.29655661810444206, 0.06484291857729356, -0.059619792255485415, 0.01037824746921786, 0.02169188927126746, -0.21594947481400564, -0.02221422337799564, 0.10851947538172588, 0.10790194135605015, 0.03996895568477165, 0.17157877995592788, -0.1652675819181256, -0.15474120049904555, 0.423288576814354, -0.04852481187509301, -0.17620712897589064, 0.1558076523972723, -0.26185910004608004, -0.10365422409521337, 0.1911355725481597, 0.25318046456250626, 0.10125301648991016, -0.16095146409665737, 0.03846207576899383, 0.029112830519294128, 0.1418259452120998, 0.10836530695908153, 0.10657597923826458, 0.19356362286031756, 0.12455343378262006, 0.0057390936417505145, 0.07957855289559175, -0.10577388907161851, -0.06965567849369513, -0.39812551207967806, -0.09596990029781292, -0.04683870186981482, 0.07309911757882716, -0.07723736718374614, -0.12040446335688615, 0.3486462138159376, 0.13841570178832874, 0.2314404347079655, 0.035721229070909, 0.3443677548287261, 0.10875100974873123, 0.13086104155597714, 0.07479515126667535, 0.3066104094330699, 0.14562572508604607, 0.10121094592265849, -0.2564695556120724, 0.03358877088046736, 0.05584106383383529] |
711.3848 | Geometric properties of two-dimensional coarsening with weak disorder | The domain morphology of weakly disordered ferromagnets, quenched from the
high-temperature phase to the low-temperature phase, is studied using numerical
simulations. We find that the geometrical properties of the coarsening domain
structure, e.g., the distributions of hull enclosed areas and domain perimeter
lengths, are described by a scaling phenomenology in which the growing domain
scale R(t) is the only relevant parameter. Furthermore, the scaling functions
have forms identical to those of the corresponding pure system, extending the
'super-universality' property previously noted for the pair correlation
function.
| cond-mat.dis-nn cond-mat.stat-mech | the domain morphology of weakly disordered ferromagnets quenched from the hightemperature phase to the lowtemperature phase is studied using numerical simulations we find that the geometrical properties of the coarsening domain structure eg the distributions of hull enclosed areas and domain perimeter lengths are described by a scaling phenomenology in which the growing domain scale rt is the only relevant parameter furthermore the scaling functions have forms identical to those of the corresponding pure system extending the superuniversality property previously noted for the pair correlation function | [['the', 'domain', 'morphology', 'of', 'weakly', 'disordered', 'ferromagnets', 'quenched', 'from', 'the', 'hightemperature', 'phase', 'to', 'the', 'lowtemperature', 'phase', 'is', 'studied', 'using', 'numerical', 'simulations', 'we', 'find', 'that', 'the', 'geometrical', 'properties', 'of', 'the', 'coarsening', 'domain', 'structure', 'eg', 'the', 'distributions', 'of', 'hull', 'enclosed', 'areas', 'and', 'domain', 'perimeter', 'lengths', 'are', 'described', 'by', 'a', 'scaling', 'phenomenology', 'in', 'which', 'the', 'growing', 'domain', 'scale', 'rt', 'is', 'the', 'only', 'relevant', 'parameter', 'furthermore', 'the', 'scaling', 'functions', 'have', 'forms', 'identical', 'to', 'those', 'of', 'the', 'corresponding', 'pure', 'system', 'extending', 'the', 'superuniversality', 'property', 'previously', 'noted', 'for', 'the', 'pair', 'correlation', 'function']] | [-0.12868387313278087, 0.15857373841166453, -0.0946709316786985, 0.059607073808153874, -0.044707401804517696, -0.07188020238035553, 0.01730379000912572, 0.3685108485525382, -0.30582697351658067, -0.24362448234717513, 0.10594861737728595, -0.293069094766018, -0.12025065581465877, 0.166301044938696, 0.044283983622526016, 0.08089093156808684, -0.0403889954972709, -0.017265236024138365, -0.09887805489991076, -0.19184467594983967, 0.3366117912918589, 0.0028791655732188807, 0.3205857523608693, 0.021988553790982034, 0.030007598585947308, -0.019131270104607696, 0.021318559074601114, 0.06671350420625924, -0.18553579713227727, 0.03430623673768931, 0.19543945972352875, 0.013459082625178231, 0.16570465084501043, -0.40820001555216867, -0.25006118433030194, 0.06531047593628944, 0.1525042434200999, 0.05636047582862205, -0.035902501740438734, -0.2643977992973009, 0.06630182506646527, -0.12283199504396856, -0.17215851736038404, -0.04491822643552062, 0.043347843305402714, 0.04167736846368846, -0.2329400445173527, 0.12273911887584904, 0.06697673302517425, 0.05657938627937679, -0.053421724140968956, -0.10717247796196187, -0.03304392422636061, 0.12108931838410235, 0.02770965939338947, 0.0444884009356069, 0.15601879054528855, -0.1627210749984654, -0.0741785193467242, 0.3412721219234342, 0.022658987883153524, -0.19169098351064118, 0.22460637481471654, -0.22080984253024813, -0.08319948826981492, 0.13232705375547846, 0.09833182834175437, 0.11115412757668351, -0.15742401755482585, 0.12965141640656944, -0.03478238135467955, 0.17799344880852935, 0.05087135288171297, 0.042943757817928876, 0.1846247370582247, 0.18067946438785903, 0.006267174626267407, 0.19779921300319392, -0.07912545497962382, -0.16774900246487368, -0.28683628366047215, -0.11295555750731119, -0.23115043647229933, -0.007082967472067753, -0.12988335790290623, -0.1945585494124612, 0.37721720688738103, 0.10250796948635388, 0.20999045317537737, 0.03530567033395041, 0.2147067266538046, 0.10946205867519386, 0.09196970828938796, 0.0536429132659768, 0.21614349064915334, 0.11066916312610861, 0.10138886452782465, -0.23974189855602332, 0.07737626900983065, 0.06867320422992804] |
711.3849 | Relation of Orbital Integrals on SO(5) and PGL(2) | We relate the "Fourier" orbital integrals of corresponding spherical
functions on the p-adic groups SO(5) and PGL(2). The correspondence is defined
by a "lifting" of representations of these groups. This is a local "fundamental
lemma" needed to compare the geometric sides of the global Fourier summation
formulae (or relative trace formulae) on these two groups. This comparison
leads to conclusions about a well known lifting of representations from PGL(2)
to PGSp(4). This lifting produces counter examples to the Ramanujan conjecture.
| math.RT | we relate the fourier orbital integrals of corresponding spherical functions on the padic groups so5 and pgl2 the correspondence is defined by a lifting of representations of these groups this is a local fundamental lemma needed to compare the geometric sides of the global fourier summation formulae or relative trace formulae on these two groups this comparison leads to conclusions about a well known lifting of representations from pgl2 to pgsp4 this lifting produces counter examples to the ramanujan conjecture | [['we', 'relate', 'the', 'fourier', 'orbital', 'integrals', 'of', 'corresponding', 'spherical', 'functions', 'on', 'the', 'padic', 'groups', 'so5', 'and', 'pgl2', 'the', 'correspondence', 'is', 'defined', 'by', 'a', 'lifting', 'of', 'representations', 'of', 'these', 'groups', 'this', 'is', 'a', 'local', 'fundamental', 'lemma', 'needed', 'to', 'compare', 'the', 'geometric', 'sides', 'of', 'the', 'global', 'fourier', 'summation', 'formulae', 'or', 'relative', 'trace', 'formulae', 'on', 'these', 'two', 'groups', 'this', 'comparison', 'leads', 'to', 'conclusions', 'about', 'a', 'well', 'known', 'lifting', 'of', 'representations', 'from', 'pgl2', 'to', 'pgsp4', 'this', 'lifting', 'produces', 'counter', 'examples', 'to', 'the', 'ramanujan', 'conjecture']] | [-0.1569655242259614, 0.04798520726999413, -0.16239144431310706, 0.12573164089553757, -0.1147807338682469, -0.05839372337795794, 0.0454928173639928, 0.3280128103680909, -0.3117944199941121, -0.2620682303328067, 0.10744762725080363, -0.23697590381489136, -0.13555948573339266, 0.21845308826013934, -0.12041473236822639, -0.0010831108083948493, 0.0018708100251387805, 0.0656433457537787, -0.1652113045740407, -0.25420726220472717, 0.347402290860191, -0.026284410094376653, 0.2190402446547523, 0.02483066140121082, 0.07806371513870544, 0.02608607954825857, -0.09758844844182021, -0.09548254982219077, -0.12020602171542123, 0.2089247427182272, 0.24715128031093628, 0.055005537788383664, 0.18864503078511916, -0.3993672029580921, -0.10806380455906037, 0.12997046783711994, 0.11679489731322974, 0.08000124243553727, 0.002754747262224555, -0.288407409354113, 0.05974541230971227, -0.15879877430852501, -0.138355475832941, -0.11523740733973682, 0.014895262743812055, 0.0369084411780932, -0.22587850709678606, 0.059169457431562475, 0.10034370489784124, 0.10794736126554198, -0.09218873122008517, -0.13320926213636994, -0.020557995114359073, 0.12287286864302586, 0.06398499418864959, 0.018934771860949696, 0.07515842766151763, -0.09498739365953952, -0.13307928706053646, 0.35727011134149506, -0.004477338977449108, -0.19872639039822387, 0.21454255272401496, -0.15838239295990206, -0.15569596164277755, 0.10589343150495552, 0.08904966982081533, 0.1402669881237671, -0.048694717152102385, 0.1008402471888985, -0.1311952324846061, 0.09258532689127605, 0.16756089571863414, -0.01255289560649544, 0.16217149097647052, -0.002797749545425177, 0.07451587032992393, 0.18863556352443994, 0.005537876200833125, -0.07049772075843067, -0.3450136628933251, -0.16764755141921342, -0.13883543467964046, 0.09243383936991449, -0.12350238138733402, -0.16633076712896583, 0.4291771741816774, 0.09468572771875187, 0.1920770066091791, 0.1345115640113363, 0.2643580396194011, 0.125326183589641, 0.12647017468698324, -0.01166358221671544, 0.1250118251889944, 0.27346114999672866, -0.03996948164021887, -0.1609150474629132, -0.022898951853858308, 0.2161701373406686] |
711.385 | Electromagnetic Field Induced Modification of Branching Ratios for
Emission in Structured Vacuum | We report a fundamental effect of the electromagnetic field induced
modification of the branching ratios for emission into several final states.
The modifications are especially significant if the vacuum into which the atom
is radiating has a finite spectral width comparable with the separation of the
final states. This is easily realizable in cavity QED. Further our results are
quite generic and are applicable to any system interacting with a structured
reservoir.
| quant-ph | we report a fundamental effect of the electromagnetic field induced modification of the branching ratios for emission into several final states the modifications are especially significant if the vacuum into which the atom is radiating has a finite spectral width comparable with the separation of the final states this is easily realizable in cavity qed further our results are quite generic and are applicable to any system interacting with a structured reservoir | [['we', 'report', 'a', 'fundamental', 'effect', 'of', 'the', 'electromagnetic', 'field', 'induced', 'modification', 'of', 'the', 'branching', 'ratios', 'for', 'emission', 'into', 'several', 'final', 'states', 'the', 'modifications', 'are', 'especially', 'significant', 'if', 'the', 'vacuum', 'into', 'which', 'the', 'atom', 'is', 'radiating', 'has', 'a', 'finite', 'spectral', 'width', 'comparable', 'with', 'the', 'separation', 'of', 'the', 'final', 'states', 'this', 'is', 'easily', 'realizable', 'in', 'cavity', 'qed', 'further', 'our', 'results', 'are', 'quite', 'generic', 'and', 'are', 'applicable', 'to', 'any', 'system', 'interacting', 'with', 'a', 'structured', 'reservoir']] | [-0.12023160827569275, 0.21705495323597765, -0.08960001018001801, 0.04251841482376525, -0.03475880474434234, -0.13271636700180048, -0.015084480787562724, 0.38376809559607256, -0.2078104962905248, -0.2759565894472568, 0.06212122597207781, -0.25425400600458187, -0.051588899759937905, 0.20662772649019542, 0.019588528433814645, 0.03859511647735619, 0.10529513072429432, 0.026051138091133907, -0.053899799822829664, -0.17804369387320346, 0.34080799842356807, 0.03116727170870743, 0.2585856296484255, 0.11124692407772979, 0.047941075786689505, -0.030923132684418105, 0.03569788474770677, 0.046858869169631764, -0.03863347408413473, 0.11426670279373259, 0.20121333469352168, 0.08523591662459593, 0.22070303595521384, -0.38846025129573214, -0.18762167041293448, 0.10066051389245938, 0.1436364321505405, 0.17961771280291336, -0.07625779246963146, -0.30165753075400265, 0.06700429412457096, -0.1594487337473159, -0.09261761817914602, -0.03329986217835944, 0.01910850162999446, -0.009411548290194737, -0.27352667934933883, 0.027059636124047555, 0.06284735475168822, -0.011118553371893035, -0.05259386877555193, -0.12177780121015126, 0.0030091422150791106, 0.09748277691606846, -0.007761085619373868, 0.015540840718636496, 0.17005588296645632, -0.13361710975813265, -0.09858463767967704, 0.4234489136789408, -0.09808881619311352, -0.2123176826086516, 0.20648696734052566, -0.15790173889965647, -0.1097961934348051, 0.18657273514610198, 0.16536552746159336, 0.10653704247023496, -0.12421143141626897, 0.07433371822682805, -0.03581715817563236, 0.18978010213726926, 0.031016387077721044, 0.0875181338762761, 0.22425674608287713, 0.17258810212175982, 0.007569592109777861, 0.2042141487052302, -0.06703683921498144, -0.08907531266514626, -0.33485006145201623, -0.15607410655744994, -0.15099440668968278, 0.06926895782170403, -0.06955740276276225, -0.16808856400894, 0.40931610715213335, 0.11651109446150561, 0.203186971316528, 0.0026953263295581564, 0.3035607483341462, 0.15724374357281098, 0.081300713296514, 0.045466951589332893, 0.31608452803144854, 0.163750523287389, 0.03259384346246305, -0.2515058742687365, 0.04312532994663343, -0.028452214422739215] |
711.3851 | The curvature homogeneity bound for Lorentzian four-manifolds | We prove that a four-dimensional Lorentzian manifold that is curvature
homogeneous of order 3, or CH_3 for short, is necessarily locally homogeneous.
We also exhibit and classify four-dimensional Lorentzian, CH_2 manifolds that
are not homogeneous. The resulting metrics belong to the class of null
electromagnetic radiation, type N solutions on an anti-de Sitter background.
These findings prove that the four-dimensional Lorentzian Singer number
$k_{1,3}=3$, falsifying some recent conjectures by Gilkey. We also prove that
invariant classification for these proper CH_2 solutions requires
$\nabla^{(7)}R$, and that these are the unique metrics requiring the seventh
order.
| gr-qc math.DG | we prove that a fourdimensional lorentzian manifold that is curvature homogeneous of order 3 or ch_3 for short is necessarily locally homogeneous we also exhibit and classify fourdimensional lorentzian ch_2 manifolds that are not homogeneous the resulting metrics belong to the class of null electromagnetic radiation type n solutions on an antide sitter background these findings prove that the fourdimensional lorentzian singer number k_133 falsifying some recent conjectures by gilkey we also prove that invariant classification for these proper ch_2 solutions requires nabla7r and that these are the unique metrics requiring the seventh order | [['we', 'prove', 'that', 'a', 'fourdimensional', 'lorentzian', 'manifold', 'that', 'is', 'curvature', 'homogeneous', 'of', 'order', '3', 'or', 'ch_3', 'for', 'short', 'is', 'necessarily', 'locally', 'homogeneous', 'we', 'also', 'exhibit', 'and', 'classify', 'fourdimensional', 'lorentzian', 'ch_2', 'manifolds', 'that', 'are', 'not', 'homogeneous', 'the', 'resulting', 'metrics', 'belong', 'to', 'the', 'class', 'of', 'null', 'electromagnetic', 'radiation', 'type', 'n', 'solutions', 'on', 'an', 'antide', 'sitter', 'background', 'these', 'findings', 'prove', 'that', 'the', 'fourdimensional', 'lorentzian', 'singer', 'number', 'k_133', 'falsifying', 'some', 'recent', 'conjectures', 'by', 'gilkey', 'we', 'also', 'prove', 'that', 'invariant', 'classification', 'for', 'these', 'proper', 'ch_2', 'solutions', 'requires', 'nabla7r', 'and', 'that', 'these', 'are', 'the', 'unique', 'metrics', 'requiring', 'the', 'seventh', 'order']] | [-0.15089126702641015, 0.1306251129605263, -0.05641377249570644, 0.09578154220134424, -0.12486352913243615, -0.15049509263253244, -0.0795416229951155, 0.40776222907816584, -0.1562623656962229, -0.22443976961886106, 0.11378647456054435, -0.29318697167479474, -0.17161198713027104, 0.17949481415511717, -0.0945174644154537, 0.01280457666143775, 0.05995303310919553, 0.07297773561035485, -0.08247697502678342, -0.304233117332763, 0.45266949786278216, -0.024086331047684602, 0.2683024078141898, 0.03901170563134972, 0.08682409845768353, -0.055234325994008585, -0.036926979841866894, 0.07422297932308815, -0.17279507592304624, 0.09915878115798873, 0.2520526401399959, 0.11582373718872828, 0.15147948481709414, -0.3836963968756406, -0.22298687680259996, 0.17617174966827684, 0.1254021388394113, 0.10342780336403572, -0.041750802995090416, -0.3075708250474671, 0.11885913600638995, -0.1024810899043982, -0.19247366441919914, -0.13765334071459898, 0.027401622050725247, -0.007778735279039804, -0.2172280561948276, 0.05541852108929205, 0.1260874702838128, 0.012453323543962577, -0.1271870371521167, -0.06115320104594423, -0.04360968307288283, 0.0828712395994681, 0.059192037113699254, 0.03964877419639379, 0.06587314829938924, -0.058210755322563826, -0.13410374402756925, 0.32358921395169327, -0.07797612945559314, -0.2729263006830993, 0.16116882876857466, -0.14482975923759944, -0.16335031425620875, 0.14975199388826024, 0.1127299422742394, 0.18312905001980456, -0.10355162324950747, 0.15223665411315818, -0.06359109682354915, 0.10666466220889402, 0.14492858429034444, 0.014973017265615255, 0.16488407543131514, 0.03535448771688844, 0.10531054677836515, 0.06634508979597899, -0.01629122266414292, -0.05315873500607584, -0.393112242748232, -0.19882333978160244, -0.10361996242705651, 0.19789419936932973, -0.13961300460457848, -0.22684054994834182, 0.32953570261800097, 0.009455262656126211, 0.1466941836634246, 0.1210365483193132, 0.19011326861041394, 0.03616631744712915, 0.005593801458852123, 0.14058514525506483, 0.2376456571222187, 0.11335491334118517, 0.039626167758125004, -0.15603290500281297, -0.0656059013120324, 0.11309738339775283] |
711.3852 | The structure of the allelic partition of the total population for
Galton-Watson processes with neutral mutations | We consider a (sub) critical Galton-Watson process with neutral mutations
(infinite alleles model), and decompose the entire population into clusters of
individuals carrying the same allele. We specify the law of this allelic
partition in terms of the distribution of the number of clone-children and the
number of mutant-children of a typical individual. The approach combines an
extension of Harris representation of Galton-Watson processes and a version of
the ballot theorem. Some limit theorems related to the distribution of the
allelic partition are also given.
| math.PR q-bio.PE | we consider a sub critical galtonwatson process with neutral mutations infinite alleles model and decompose the entire population into clusters of individuals carrying the same allele we specify the law of this allelic partition in terms of the distribution of the number of clonechildren and the number of mutantchildren of a typical individual the approach combines an extension of harris representation of galtonwatson processes and a version of the ballot theorem some limit theorems related to the distribution of the allelic partition are also given | [['we', 'consider', 'a', 'sub', 'critical', 'galtonwatson', 'process', 'with', 'neutral', 'mutations', 'infinite', 'alleles', 'model', 'and', 'decompose', 'the', 'entire', 'population', 'into', 'clusters', 'of', 'individuals', 'carrying', 'the', 'same', 'allele', 'we', 'specify', 'the', 'law', 'of', 'this', 'allelic', 'partition', 'in', 'terms', 'of', 'the', 'distribution', 'of', 'the', 'number', 'of', 'clonechildren', 'and', 'the', 'number', 'of', 'mutantchildren', 'of', 'a', 'typical', 'individual', 'the', 'approach', 'combines', 'an', 'extension', 'of', 'harris', 'representation', 'of', 'galtonwatson', 'processes', 'and', 'a', 'version', 'of', 'the', 'ballot', 'theorem', 'some', 'limit', 'theorems', 'related', 'to', 'the', 'distribution', 'of', 'the', 'allelic', 'partition', 'are', 'also', 'given']] | [-0.10168950384796922, 0.13495342159824003, -0.10922190922604177, 0.09896257856565949, -0.024294825997315795, -0.09370195924540062, 0.1546502373663776, 0.27463334623769103, -0.26560887221965085, -0.24385564457849565, 0.06098202047504889, -0.2755037293466459, -0.11081521853759706, 0.11557610973390381, -0.07028946530982762, 0.005371036524155054, 0.04828425084734448, 0.049951188816094255, 0.06507782339039876, -0.2527466935879854, 0.33999996556036444, 0.0008772181414337043, 0.2857548629146922, -0.017201592753001725, 0.146296005617513, 0.05595948744610132, -0.07556291758531637, -0.0011871333727725298, -0.12624757648838392, 0.1314327392694877, 0.18909162992095374, 0.16864341283104864, 0.3157184629936714, -0.3681856411206256, -0.15688450174148094, 0.1765681087903409, 0.19424336066424666, 0.13961558203291463, 0.01693276604300881, -0.2650280211300376, 0.08140509957111025, -0.17919860202650797, -0.1756844528984413, 0.028406309659581585, -0.012322159029588282, 0.1081067642466311, -0.2795521859191807, 0.09045453612792238, 0.13043926606033313, 0.06328135337652527, -0.060408771820703006, -0.1342270415646574, -0.05826831204502518, 0.18730415416746793, 0.05583572235338513, -0.04257161357630807, 0.15600017462688756, -0.15373616637392054, -0.1123684284064066, 0.3289558691342911, -0.03042838495247156, -0.21449570519378386, 0.1496180406216173, -0.19778714827205762, -0.20153264554935585, 0.11054147720191045, 0.16280241497281758, 0.11869070745335894, -0.17039658532040305, 0.09131646640837215, -0.07571969212717321, 0.08396313168916357, 0.09172053400045597, 0.02121938372322594, 0.2155676007169826, 0.1747298951103655, 0.06265003722811859, 0.2127976778288742, -0.0654296565812126, -0.13510095708476133, -0.2991635125265064, -0.1652453982450786, -0.1486624373229647, 0.081299964784566, -0.1722053082329179, -0.26239820729088353, 0.4160641798895436, 0.15240197602157335, 0.23316152970564652, 0.17719545922275767, 0.19727634674454309, 0.15617380393332386, 0.040323113422302236, -0.00599114389540291, 0.028863680202875802, 0.16161601235304612, 0.021246956162020027, -0.20483909002000308, 0.10051117017472455, 0.10547757324066956] |
711.3853 | Supercontinua for high resolution absorption multiplex infrared
spectroscopy | Supercontinua generated in highly non-linear fibers by ultrashort-pulse
lasers can be used for high resolution Fourier transform absorption
spectroscopy. The practical advantages of these bright ultrabroadband light
sources for spectroscopy are reported in the near-infrared region. A Cr^4+:YAG
femtosecond laser broadened by an extruded soft-glass photonic crystal fiber,
emitting from 1200 to 2200 nm and from 675 to 950 nm, provides a spectral
radiance being 1x10^5 times higher than that of a 3000 K blackbody and 10^2
times higher than that of a synchrotron radiation. The C_2H_2 and NH_3 overtone
spectra are recorded using this source within a few seconds.
| physics.optics | supercontinua generated in highly nonlinear fibers by ultrashortpulse lasers can be used for high resolution fourier transform absorption spectroscopy the practical advantages of these bright ultrabroadband light sources for spectroscopy are reported in the nearinfrared region a cr4yag femtosecond laser broadened by an extruded softglass photonic crystal fiber emitting from 1200 to 2200 nm and from 675 to 950 nm provides a spectral radiance being 1x105 times higher than that of a 3000 k blackbody and 102 times higher than that of a synchrotron radiation the c_2h_2 and nh_3 overtone spectra are recorded using this source within a few seconds | [['supercontinua', 'generated', 'in', 'highly', 'nonlinear', 'fibers', 'by', 'ultrashortpulse', 'lasers', 'can', 'be', 'used', 'for', 'high', 'resolution', 'fourier', 'transform', 'absorption', 'spectroscopy', 'the', 'practical', 'advantages', 'of', 'these', 'bright', 'ultrabroadband', 'light', 'sources', 'for', 'spectroscopy', 'are', 'reported', 'in', 'the', 'nearinfrared', 'region', 'a', 'cr4yag', 'femtosecond', 'laser', 'broadened', 'by', 'an', 'extruded', 'softglass', 'photonic', 'crystal', 'fiber', 'emitting', 'from', '1200', 'to', '2200', 'nm', 'and', 'from', '675', 'to', '950', 'nm', 'provides', 'a', 'spectral', 'radiance', 'being', '1x105', 'times', 'higher', 'than', 'that', 'of', 'a', '3000', 'k', 'blackbody', 'and', '102', 'times', 'higher', 'than', 'that', 'of', 'a', 'synchrotron', 'radiation', 'the', 'c_2h_2', 'and', 'nh_3', 'overtone', 'spectra', 'are', 'recorded', 'using', 'this', 'source', 'within', 'a', 'few', 'seconds']] | [-0.013198540066227768, 0.20335152990909675, -0.05802102527590563, -0.002108827297989693, -0.02947487205154065, -0.16116309586931207, 0.027196255704209284, 0.5430365447143112, -0.19490307479193716, -0.3192335295189887, 0.07024405410071138, -0.3480760423711153, 0.03966895488062591, 0.29654346423392947, -0.00404022962843877, 0.012564464800313792, 0.01582431759699389, -0.12597131770988457, 0.00021511125331274186, -0.12201476954111848, 0.16214763256486017, 0.08598961199003488, 0.25567713219935845, 0.016689753965380593, 0.10352588929424081, -0.06479492149024148, 0.006871974269149241, -0.09517729660082194, -0.08881287472842925, 0.12173954241278798, 0.27814171371765134, 0.029752140008665696, 0.23839273638647013, -0.37975921713267313, -0.2541015509020942, 0.013855046992462993, 0.149204906852295, 0.03500636635028353, -0.0425884899585696, -0.27218730539798436, 0.0949359185208162, -0.1113024065459166, -0.12483097114976534, 0.02832109847980918, 0.020329277849558628, 0.005157061349224262, -0.21540477718085502, 0.04983150717482498, -0.0517209301222906, 0.14485904579803424, -0.06487825328032627, -0.08550672288372586, -0.04402836692058528, -0.027734491527268684, -0.08861830068582838, 0.04721495066063874, 0.18451434436884492, -0.06970696806239736, -0.05710682775260824, 0.40842215803385984, -0.16090614040707935, 0.033835919809085555, 0.1398426734400217, -0.20884190491786359, -0.030555846329515027, 0.33809637438242485, 0.10643621966786061, 0.19717634537003256, -0.12331215198259951, -0.06800902107756378, 0.031877684611544915, 0.3001467419677706, 0.19987752558804597, 0.15227374241621505, 0.21578246793436884, 0.14001523313874548, -0.03919846590871763, 0.1261501302131254, -0.23341424005444755, 0.04867877079070442, -0.21576614516100498, -0.10746580199573678, -0.1639867527974826, 0.11874289593348901, -0.10568610815795237, -0.06822009147979752, 0.3995753455568444, 0.09984045404696254, 0.16514746315137604, -0.009722304137687038, 0.3217091838255374, 0.11885546865600227, 0.10767298979176716, 0.03129728157261406, 0.28293191759160374, 0.18017241723525027, 0.14694310692750445, -0.14908337908693486, -0.07289414161421133, -0.07356648713425555] |
711.3854 | A Simultaneous Solution to the ^6Li and ^7Li Big Bang Nucleosynthesis
Problems from a Long-Lived Negatively-Charged Leptonic Particle | The $^6$Li abundance observed in metal poor halo stars exhibits a plateau
similar to that for $^7$Li suggesting a primordial origin. However, the
observed abundance of $^6$Li is a factor of $10^3$ larger and that of $^7$Li is
a factor of 3 lower than the abundances predicted in the standard big bang when
the baryon-to-photon ratio is fixed by WMAP. Here we show that both of these
abundance anomalies can be explained by the existence of a long-lived massive,
negatively-charged leptonic particle during nucleosynthesis. Such particles
would capture onto the synthesized nuclei thereby reducing the reaction Coulomb
barriers and opening new transfer reaction possibilities, and catalyzing a
second round of big bang nucleosynthesis. This novel solution to both of the Li
problems can be achieved with or without the additional effects of stellar
destruction.
| astro-ph | the 6li abundance observed in metal poor halo stars exhibits a plateau similar to that for 7li suggesting a primordial origin however the observed abundance of 6li is a factor of 103 larger and that of 7li is a factor of 3 lower than the abundances predicted in the standard big bang when the baryontophoton ratio is fixed by wmap here we show that both of these abundance anomalies can be explained by the existence of a longlived massive negativelycharged leptonic particle during nucleosynthesis such particles would capture onto the synthesized nuclei thereby reducing the reaction coulomb barriers and opening new transfer reaction possibilities and catalyzing a second round of big bang nucleosynthesis this novel solution to both of the li problems can be achieved with or without the additional effects of stellar destruction | [['the', '6li', 'abundance', 'observed', 'in', 'metal', 'poor', 'halo', 'stars', 'exhibits', 'a', 'plateau', 'similar', 'to', 'that', 'for', '7li', 'suggesting', 'a', 'primordial', 'origin', 'however', 'the', 'observed', 'abundance', 'of', '6li', 'is', 'a', 'factor', 'of', '103', 'larger', 'and', 'that', 'of', '7li', 'is', 'a', 'factor', 'of', '3', 'lower', 'than', 'the', 'abundances', 'predicted', 'in', 'the', 'standard', 'big', 'bang', 'when', 'the', 'baryontophoton', 'ratio', 'is', 'fixed', 'by', 'wmap', 'here', 'we', 'show', 'that', 'both', 'of', 'these', 'abundance', 'anomalies', 'can', 'be', 'explained', 'by', 'the', 'existence', 'of', 'a', 'longlived', 'massive', 'negativelycharged', 'leptonic', 'particle', 'during', 'nucleosynthesis', 'such', 'particles', 'would', 'capture', 'onto', 'the', 'synthesized', 'nuclei', 'thereby', 'reducing', 'the', 'reaction', 'coulomb', 'barriers', 'and', 'opening', 'new', 'transfer', 'reaction', 'possibilities', 'and', 'catalyzing', 'a', 'second', 'round', 'of', 'big', 'bang', 'nucleosynthesis', 'this', 'novel', 'solution', 'to', 'both', 'of', 'the', 'li', 'problems', 'can', 'be', 'achieved', 'with', 'or', 'without', 'the', 'additional', 'effects', 'of', 'stellar', 'destruction']] | [-0.054236319828291996, 0.22157335154531496, -0.04604989153015038, 0.0959838856543317, -0.006801194491372235, -0.1221627276599296, 0.07214398124713951, 0.2980506629127064, -0.2340130350246692, -0.3717730200863374, -0.004609288746810782, -0.2922735765381758, -0.011989127073103368, 0.15821844693394935, -0.024634489355219613, 0.0006415155401745283, 0.08798295007184592, -0.0186110702586541, -0.07480249960329939, -0.24334625652191966, 0.31489060835481913, 0.10424282197117694, 0.17936733687894224, 0.07243279168562991, 0.006673926689119926, -0.13111676043594506, 0.017107078478907915, -0.016960073366705606, -0.10973261753977893, 0.08921434411278634, 0.19891379281718619, 0.14757896424705552, 0.17919677722531913, -0.4450759860798161, -0.25524133803156107, 0.16407678545793214, 0.21065567346609462, 0.14445880073497988, -0.16506795087175916, -0.2612401643879156, 0.07926415974176976, -0.15932067717884235, -0.13594086413660936, -0.013013430259454607, 0.018193425714914033, -0.03790789846167552, -0.2749947724141069, 0.11798351339443322, 0.034529947138864044, 0.016379469122960053, -0.06989282265013612, -0.1504481033519355, -0.04717527308028692, 0.0348587907243037, 0.05712872011927582, -0.0030432332618989108, 0.17650726002835626, -0.1314302757017509, -0.04444662176086498, 0.4360938770140507, -0.12859669415188568, -0.02641645806959705, 0.15375687503394908, -0.17981328856054027, -0.14438266194522825, 0.1549535304439991, 0.11247946380693187, 0.1086049772965819, -0.13335537704269473, 0.06139700325881826, 0.028538466052416323, 0.1959355657697836, 0.1251244315106088, -0.012363588698069328, 0.2600877812660452, 0.20478608791973554, 0.01276835214621179, 0.02517538187928053, -0.14312336740514903, -0.07387023962644944, -0.22169146564469408, -0.17618649766377326, -0.10640526800538037, 0.1145481178363257, -0.14481723992600984, -0.12863946778338348, 0.3154027868410201, 0.07101206760853529, 0.2857701423484137, -0.04112914265411447, 0.3072470024526953, 0.08232801844219942, 0.07767752719236844, 0.04704779518573587, 0.31672836360591117, 0.1539688861056634, 0.06860895044823635, -0.2912639895692527, 0.15485842250384835, -0.012262681888333007] |
711.3855 | Concentration-modulation FT emission spectroscopy of TiCl_4/He plasma.
Analysis of the C ^4\Delta- X ^4 \Phi \Delta v=0 perturbed transitions of
TiCl | A TiCl_4/He plasma is observed by high resolution double-modulation FTS using
concentration-modulation as a selective detection method. Analysis of the C
^4\Delta- X ^4 \Phi \Delta v=0 transitions of ^48Ti^35Cl reveals perturbations
affecting the C ^4\Delta_{1/2} sub-state.
| physics.chem-ph physics.optics | a ticl_4he plasma is observed by high resolution doublemodulation fts using concentrationmodulation as a selective detection method analysis of the c 4delta x 4 phi delta v0 transitions of 48ti35cl reveals perturbations affecting the c 4delta_12 substate | [['a', 'ticl_4he', 'plasma', 'is', 'observed', 'by', 'high', 'resolution', 'doublemodulation', 'fts', 'using', 'concentrationmodulation', 'as', 'a', 'selective', 'detection', 'method', 'analysis', 'of', 'the', 'c', '4delta', 'x', '4', 'phi', 'delta', 'v0', 'transitions', 'of', '48ti35cl', 'reveals', 'perturbations', 'affecting', 'the', 'c', '4delta_12', 'substate']] | [-0.18640635267718497, 0.1215775798103123, -0.04390024190599268, 0.004394891110926189, 0.07031011800140594, -0.2066958388313651, 0.08289479340116183, 0.3598132770169865, -0.21631928681480614, -0.30077701050675276, 0.06757282471340714, -0.2690148272862037, -0.04086887848626992, 0.1410168185336233, 0.030361411075291195, 0.01938123820406018, 0.05653048469155857, -0.008892010558735241, -0.07905562071016792, -0.07280592992901802, 0.20928577486086974, 0.030707125862439472, 0.23062331167007374, 0.052811102137308226, 0.0886348940319184, -0.04244956207659208, -0.03304794605708483, -0.016428318721326916, -0.13742222251135955, 0.05104936051859774, 0.1812701964213788, 0.15067827458154748, 0.2409226227213036, -0.257478320237362, -0.20955585143669989, 0.04739585146307945, 0.14929930498879967, 0.022987877188081093, 0.01199393750478824, -0.301989348097281, 0.09672290978558136, -0.08561905134807933, -0.12302703084424138, -0.06554933133619753, 0.0745082243035237, 0.021966082156833374, -0.2809005133299665, 0.10362460960944493, 0.0581952011367927, 0.11649691945675647, -0.0015051671106255417, -0.1439426268140475, -0.08309238579011324, 0.030545866624875503, -0.047159985420435216, 0.1324482807240477, 0.18995400394002596, -0.09556919533872243, -0.050020626092604784, 0.39643805236978963, -0.18983648767497277, -0.09974651185400558, 0.14579621970540646, -0.20568909167283864, -0.17536056950462586, 0.23298875345481615, 0.05496661379143144, 0.16075556939750008, -0.04617879133332859, 0.1161616303619336, 0.044087495429046226, 0.22047117575438638, 0.12585866161988993, 0.0005942307073961605, 0.1324083872781502, 0.17480073790207054, 0.022118718915435515, 0.11079259232307474, -0.19422980042784757, 0.08693951537663286, -0.30385376569448097, -0.1636129914585388, -0.12259560045927312, 0.08334506064949726, -0.07101010093747666, -0.0938109831821004, 0.3499245833266865, 0.048004101030528545, 0.2238804015937741, -0.03866132163216896, 0.2988845014549566, 0.12634056048453646, 0.00645188556165632, 0.034172538329254494, 0.16159726955899686, 0.1589216287459501, 0.1432122659276832, -0.28464926803258783, 0.037214384879916906, 0.0003846584903922948] |
711.3856 | Forward estimation for ergodic time series | The forward estimation problem for stationary and ergodic time series
$\{X_n\}_{n=0}^{\infty}$ taking values from a finite alphabet ${\cal X}$ is to
estimate the probability that $X_{n+1}=x$ based on the observations $X_i$,
$0\le i\le n$ without prior knowledge of the distribution of the process
$\{X_n\}$. We present a simple procedure $g_n$ which is evaluated on the data
segment $(X_0,...,X_n)$ and for which, ${\rm error}(n) = |g_{n}(x)-P(X_{n+1}=x
|X_0,...,X_n)|\to 0$ almost surely for a subclass of all stationary and ergodic
time series, while for the full class the Cesaro average of the error tends to
zero almost surely and moreover, the error tends to zero in probability.
| math.PR cs.IT math.IT | the forward estimation problem for stationary and ergodic time series x_n_n0infty taking values from a finite alphabet cal x is to estimate the probability that x_n1x based on the observations x_i 0le ile n without prior knowledge of the distribution of the process x_n we present a simple procedure g_n which is evaluated on the data segment x_0x_n and for which rm errorn g_nxpx_n1x x_0x_nto 0 almost surely for a subclass of all stationary and ergodic time series while for the full class the cesaro average of the error tends to zero almost surely and moreover the error tends to zero in probability | [['the', 'forward', 'estimation', 'problem', 'for', 'stationary', 'and', 'ergodic', 'time', 'series', 'x_n_n0infty', 'taking', 'values', 'from', 'a', 'finite', 'alphabet', 'cal', 'x', 'is', 'to', 'estimate', 'the', 'probability', 'that', 'x_n1x', 'based', 'on', 'the', 'observations', 'x_i', '0le', 'ile', 'n', 'without', 'prior', 'knowledge', 'of', 'the', 'distribution', 'of', 'the', 'process', 'x_n', 'we', 'present', 'a', 'simple', 'procedure', 'g_n', 'which', 'is', 'evaluated', 'on', 'the', 'data', 'segment', 'x_0x_n', 'and', 'for', 'which', 'rm', 'errorn', 'g_nxpx_n1x', 'x_0x_nto', '0', 'almost', 'surely', 'for', 'a', 'subclass', 'of', 'all', 'stationary', 'and', 'ergodic', 'time', 'series', 'while', 'for', 'the', 'full', 'class', 'the', 'cesaro', 'average', 'of', 'the', 'error', 'tends', 'to', 'zero', 'almost', 'surely', 'and', 'moreover', 'the', 'error', 'tends', 'to', 'zero', 'in', 'probability']] | [-0.11885265476361971, 0.10725472183578243, -0.068011963702362, 0.03593893718827916, 0.000516207789945783, -0.1338143666284253, 0.10169632388325879, 0.38433690331499987, -0.26529484891304467, -0.18792219311375208, 0.13944567573277958, -0.3085600970162436, -0.047322044140221835, 0.15385252163002286, -0.055463900911913375, 0.11213394292442697, 0.045567318853555305, 0.13956052329240723, -0.0671622356825574, -0.2719515574122356, 0.28842518185124255, 0.007943271198356994, 0.27427668178999665, -0.038741131839365936, 0.1547576185242941, 0.02831068394277621, -0.009438240145699996, -0.03222776947053845, -0.1775711200325991, 0.03064587493920981, 0.23740199438738402, 0.12892330460476153, 0.3092552619572315, -0.33170304668484013, -0.1663208290219608, 0.1919236839372627, 0.19146056302042322, 0.01965374486859549, 0.034062189913138446, -0.2794589170753354, 0.1451535646267461, -0.11856095325389895, -0.1264925292349712, -0.013868294430501533, 0.08728497578160405, 0.04561360407505429, -0.38184092450426005, 0.06012428126702405, 0.13089483963193918, 0.020006761848550252, -0.03023449016730254, -0.16308222930276334, -0.0010340462222394318, 0.163959693342372, 0.0590226701363766, 0.06295169127935712, 0.05539160847400475, -0.04431833308942691, -0.06127723445410304, 0.31836067073310564, -0.1151837437799332, -0.2228205499775482, 0.07922186593130005, -0.20356970690567083, -0.15066331799490132, 0.18412739890768673, 0.14276743386731003, 0.1474040315081977, -0.10604614485995938, 0.14737816859798675, -0.03240865557877855, 0.14490998861605697, 0.03934027299736485, 0.023187544107474763, 0.12636751119950504, 0.09711821119047025, 0.12785704872768486, 0.09176467714661901, -0.09266642343271712, -0.07780716305767948, -0.34764505172091903, -0.1494695325499645, -0.2395007402713721, 0.14198160064265583, -0.1440840592846566, -0.19264042155459674, 0.32394390793122124, 0.13202630345135777, 0.20534468972773262, 0.21229780547207955, 0.23946977782091408, 0.12946603900630665, -0.05738889386952676, 0.10652791990926772, 0.07801624989569789, 0.12174347915094007, 0.034054081654176116, -0.1755768168527125, 0.10077484207923966, 0.08801109541555623] |
711.3857 | Periodic Chandrasekhar recursions | This paper extends the Chandrasekhar-type recursions due to Morf, Sidhu, and
Kailath "Some new algorithms for recursive estimation in constant, linear,
discrete-time systems, IEEE Trans. Autom. Control 19 (1974) 315-323" to the
case of periodic time-varying state-space models. We show that the S-lagged
increments of the one-step prediction error covariance satisfy certain
recursions from which we derive some algorithms for linear least squares
estimation for periodic state-space models. The proposed recursions may have
potential computational advantages over the Kalman Filter and, in particular,
the periodic Riccati difference equation.
| stat.ME | this paper extends the chandrasekhartype recursions due to morf sidhu and kailath some new algorithms for recursive estimation in constant linear discretetime systems ieee trans autom control 19 1974 315323 to the case of periodic timevarying statespace models we show that the slagged increments of the onestep prediction error covariance satisfy certain recursions from which we derive some algorithms for linear least squares estimation for periodic statespace models the proposed recursions may have potential computational advantages over the kalman filter and in particular the periodic riccati difference equation | [['this', 'paper', 'extends', 'the', 'chandrasekhartype', 'recursions', 'due', 'to', 'morf', 'sidhu', 'and', 'kailath', 'some', 'new', 'algorithms', 'for', 'recursive', 'estimation', 'in', 'constant', 'linear', 'discretetime', 'systems', 'ieee', 'trans', 'autom', 'control', '19', '1974', '315323', 'to', 'the', 'case', 'of', 'periodic', 'timevarying', 'statespace', 'models', 'we', 'show', 'that', 'the', 'slagged', 'increments', 'of', 'the', 'onestep', 'prediction', 'error', 'covariance', 'satisfy', 'certain', 'recursions', 'from', 'which', 'we', 'derive', 'some', 'algorithms', 'for', 'linear', 'least', 'squares', 'estimation', 'for', 'periodic', 'statespace', 'models', 'the', 'proposed', 'recursions', 'may', 'have', 'potential', 'computational', 'advantages', 'over', 'the', 'kalman', 'filter', 'and', 'in', 'particular', 'the', 'periodic', 'riccati', 'difference', 'equation']] | [-0.11511649233015145, -0.004137136491344256, -0.05914056636666989, 0.04229682933925206, -0.0984217571450726, -0.2137686780489543, 0.02392067503704525, 0.35253535075222747, -0.3063269274446237, -0.24288292704697917, 0.18150932602310443, -0.19983076751779985, -0.22508169406038872, 0.20315873399582307, -0.14814004963811706, 0.16716199854717534, 0.05729366078534547, -0.016368955516201607, -0.10612561027519404, -0.3081882466452525, 0.2231778982643257, 0.026181158091982498, 0.24175014941788772, -0.07297156832783538, 0.15955160757088485, 0.05210694425246295, -0.04679480590583647, -0.03700353010174106, -0.14156109820272403, 0.0911114047993632, 0.2831122179882882, 0.10227072850307997, 0.32465038290795156, -0.3680343328482088, -0.21495253717362442, 0.15614142841659487, 0.15272057206534287, 0.13327158119611662, 0.00951354734818725, -0.3003636465764002, 0.06785348148139961, -0.17157211520654314, -0.08643921506317223, -0.043271667236352666, -0.010578262077315765, 0.0888589345576132, -0.35136647921959485, 0.08028169198180823, 0.08276573157157091, 0.059066453647306734, -0.05330983479233349, -0.18106901912456927, 0.013175022262422478, 0.0310228939031196, 0.028167059754624087, -0.07842069750870852, 0.08094818903790678, -0.04717339910840725, -0.183051274700419, 0.29710114775773355, -0.06742707301369484, -0.24535988447639873, 0.1402595427161192, -0.04943439845981843, -0.18110093228409396, 0.15647597558358137, 0.25623048165922657, 0.0585832350065603, -0.1805355583974982, 0.12315536639790106, -0.05308103068416719, 0.13769857219475157, 0.08707453336785821, -0.001226166816537871, 0.08491703360615407, 0.10611098176416228, 0.12906718127539052, 0.08332159762982937, -0.048967341180233395, -0.1644491726957152, -0.27801218209240364, -0.11608393599881846, -0.1302035376566517, -0.028251643911661472, -0.15493365801727016, -0.19523295691127288, 0.390580244581489, 0.20108620769426447, 0.09991648082128342, 0.17128011212711605, 0.24360608805299683, 0.19355603520046263, -0.015081158261198331, 0.12388842628501794, 0.17437614306109026, 0.19854390322340323, 0.11387089441996068, -0.2035955917391488, 0.0551004305262776, 0.11457929263329682] |
711.3858 | The X^- Solution to the ^6Li and ^7Li Big Bang Nucleosynthesis Problems | The $^6$Li abundance observed in metal poor halo stars appears to exhibit a
plateau as a function of metallicity similar to that for $^7$Li, suggesting a
big bang origin. However, the inferred primordial abundance of $^6$Li is
$\sim$1000 times larger than that predicted by standard big bang
nucleosynthesis for the baryon-to-photon ratio inferred from the WMAP data.
Also, the inferred $^7$Li primordial abundance is 3 times smaller than the big
bang prediction. We here describe in detail a possible simultaneous solution to
both the problems of underproduction of $^6$Li and overproduction of $^7$Li in
big bang nucleosynthesis. This solution involves a hypothetical massive,
negatively-charged leptonic particle that would bind to the light nuclei
produced in big bang nucleosynthesis, but would decay long before it could be
detected. We consider only the $X$-nuclear reactions and assume that the effect
of decay products is negligible, as would be the case if lifetime were large or
the mass difference between the charged particle and its daughter were small.
An interesting feature of this paradigm is that, because the particle remains
bound to the existing nuclei after the cessation of the usual big bang nuclear
reactions, a second longer epoch of nucleosynthesis can occur among $X$-nuclei.
We confirm that reactions in which the hypothetical particle is transferred can
occur that greatly enhance the production of $^6$Li while depleting $^7$Li. We
also identify a new reaction that destroys large amounts of $^7$Be, and hence
reduces the ultimate $^7$Li abundance. Thus, big-bang nucleosynthesis in the
presence of these hypothetical particles, together with or without an event of
stellar processing, can simultaneously solve the two Li abundance problems.
| astro-ph | the 6li abundance observed in metal poor halo stars appears to exhibit a plateau as a function of metallicity similar to that for 7li suggesting a big bang origin however the inferred primordial abundance of 6li is sim1000 times larger than that predicted by standard big bang nucleosynthesis for the baryontophoton ratio inferred from the wmap data also the inferred 7li primordial abundance is 3 times smaller than the big bang prediction we here describe in detail a possible simultaneous solution to both the problems of underproduction of 6li and overproduction of 7li in big bang nucleosynthesis this solution involves a hypothetical massive negativelycharged leptonic particle that would bind to the light nuclei produced in big bang nucleosynthesis but would decay long before it could be detected we consider only the xnuclear reactions and assume that the effect of decay products is negligible as would be the case if lifetime were large or the mass difference between the charged particle and its daughter were small an interesting feature of this paradigm is that because the particle remains bound to the existing nuclei after the cessation of the usual big bang nuclear reactions a second longer epoch of nucleosynthesis can occur among xnuclei we confirm that reactions in which the hypothetical particle is transferred can occur that greatly enhance the production of 6li while depleting 7li we also identify a new reaction that destroys large amounts of 7be and hence reduces the ultimate 7li abundance thus bigbang nucleosynthesis in the presence of these hypothetical particles together with or without an event of stellar processing can simultaneously solve the two li abundance problems | [['the', '6li', 'abundance', 'observed', 'in', 'metal', 'poor', 'halo', 'stars', 'appears', 'to', 'exhibit', 'a', 'plateau', 'as', 'a', 'function', 'of', 'metallicity', 'similar', 'to', 'that', 'for', '7li', 'suggesting', 'a', 'big', 'bang', 'origin', 'however', 'the', 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711.3859 | Convergence and stability of locally \mathbb{R}^{N}-invariant solutions
of Ricci flow | Important models for immortal solutions of Ricci flow that collapse with
bounded curvature come from locally G-invariant solutions on principal bundles,
where G is a nilpotent Lie group. In this paper, we establish convergence and
asymptotic stability, modulo smooth finite-dimensional center manifolds, of
certain R^{N}-invariant solutions. When the dimension of the total space is
three, these results are relevant to work of Lott classifying the asymptotic
behavior of all 3-dimensional Ricci flow solutions whose sectional curvatures
and diameters are respectively O(t^{-1}) and O(t^{1/2}).
| math.DG math.AP | important models for immortal solutions of ricci flow that collapse with bounded curvature come from locally ginvariant solutions on principal bundles where g is a nilpotent lie group in this paper we establish convergence and asymptotic stability modulo smooth finitedimensional center manifolds of certain rninvariant solutions when the dimension of the total space is three these results are relevant to work of lott classifying the asymptotic behavior of all 3dimensional ricci flow solutions whose sectional curvatures and diameters are respectively ot1 and ot12 | [['important', 'models', 'for', 'immortal', 'solutions', 'of', 'ricci', 'flow', 'that', 'collapse', 'with', 'bounded', 'curvature', 'come', 'from', 'locally', 'ginvariant', 'solutions', 'on', 'principal', 'bundles', 'where', 'g', 'is', 'a', 'nilpotent', 'lie', 'group', 'in', 'this', 'paper', 'we', 'establish', 'convergence', 'and', 'asymptotic', 'stability', 'modulo', 'smooth', 'finitedimensional', 'center', 'manifolds', 'of', 'certain', 'rninvariant', 'solutions', 'when', 'the', 'dimension', 'of', 'the', 'total', 'space', 'is', 'three', 'these', 'results', 'are', 'relevant', 'to', 'work', 'of', 'lott', 'classifying', 'the', 'asymptotic', 'behavior', 'of', 'all', '3dimensional', 'ricci', 'flow', 'solutions', 'whose', 'sectional', 'curvatures', 'and', 'diameters', 'are', 'respectively', 'ot1', 'and', 'ot12']] | [-0.21133324476072518, 0.07424133486986137, -0.07653179349059738, 0.02290427800205468, -0.11519799328681718, -0.15919594070306275, -0.08601181568271231, 0.3436990953050554, -0.2651143592062531, -0.1950200752059861, 0.1877504625775079, -0.29664578405776765, -0.1376703695661002, 0.16870949674034263, -0.11155051651706056, 0.06483970993630044, 0.06036647680079246, 0.12287265195783864, -0.06011883668294858, -0.2841992618447942, 0.4616728446832517, -0.06190007233924073, 0.24794240159595884, 0.057184089259130925, 0.11234869671383554, -0.11127054852024629, 0.021512263238702607, 0.054625530028360805, -0.23199255224191315, 0.1389633300373467, 0.2584621091733957, 0.04994593964741997, 0.22423195171385732, -0.36096159192710753, -0.18762314085076312, 0.2088492069870415, 0.18331677902762483, 0.005853857106824473, -0.012600842904492577, -0.28897301073572257, 0.13947773472655836, -0.08708169645198234, -0.16065824123684364, -0.1026687859784721, 0.05266333906343434, 0.05885030870700664, -0.20280019523825768, 0.0829528723389092, 0.10916888403916368, 0.08154461094428127, -0.16734881000593305, -0.11900388305987623, -0.09595146299930425, 0.09357646452128127, 0.10227380817324468, -0.01000192100977207, 0.09450222811911528, -0.08801650524241622, -0.06595145943915336, 0.33387568824152214, -0.08054584818437877, -0.27304286059991617, 0.13456549066709492, -0.1547395654204415, -0.12343685451054537, 0.13689174051055822, 0.17577719628220287, 0.23017143634738538, -0.05706249943330299, 0.15144534564432233, -0.047664543659221834, 0.04829534708249678, 0.11227386633343087, -0.018422502743239266, 0.11191742308437824, 0.11178004891021041, 0.15723231739773438, 0.07305219019024928, 0.027097590236424853, -0.09379358206330458, -0.39377659800030834, -0.19814215231936697, -0.1068228034568076, 0.18382225097043486, -0.18600104550391622, -0.15433311960716709, 0.38439519091781865, 0.022950373873932332, 0.19467202559249794, 0.20444250190857707, 0.23049755979942657, 0.024083507656142478, 0.0030382099027586418, 0.16901001597686513, 0.22313547432252273, 0.22875288782535524, 0.015818422041242806, -0.14083696531540738, -0.05454248644797722, 0.18953759800809544] |
711.386 | K\"allen-Lehman Representation and the Gluon Propagator | We exploit the Kallen-Lehman representation of the two-point Green function
to prove that the gluon propagator cannot go to zero in the infrared limit. We
are able to derive also the functional form of it. This means that current
results on the lattice can be used to derive the scalar glueball spectrum to be
compared both with experiments and different aimed lattice computations.
| hep-th | we exploit the kallenlehman representation of the twopoint green function to prove that the gluon propagator cannot go to zero in the infrared limit we are able to derive also the functional form of it this means that current results on the lattice can be used to derive the scalar glueball spectrum to be compared both with experiments and different aimed lattice computations | [['we', 'exploit', 'the', 'kallenlehman', 'representation', 'of', 'the', 'twopoint', 'green', 'function', 'to', 'prove', 'that', 'the', 'gluon', 'propagator', 'can', 'not', 'go', 'to', 'zero', 'in', 'the', 'infrared', 'limit', 'we', 'are', 'able', 'to', 'derive', 'also', 'the', 'functional', 'form', 'of', 'it', 'this', 'means', 'that', 'current', 'results', 'on', 'the', 'lattice', 'can', 'be', 'used', 'to', 'derive', 'the', 'scalar', 'glueball', 'spectrum', 'to', 'be', 'compared', 'both', 'with', 'experiments', 'and', 'different', 'aimed', 'lattice', 'computations']] | [-0.04849706866525594, 0.10175674592028372, -0.17152890547004063, 0.10604910240181198, -0.10013788110154564, -0.0695068928762339, 0.03288479705224745, 0.3983563234505709, -0.23759919215081027, -0.224451689486159, 0.10241592953934742, -0.2576315232727211, -0.16611010006454308, 0.15940164395215106, 0.02197900600003777, 0.06401293263479602, 0.02798307499506336, 0.03834112486219965, -0.059530440950766206, -0.26780620955105405, 0.32106054315227084, 0.031018711109936703, 0.26054080814355984, 0.11900168614010909, 0.040076476863760035, 0.009232177631929517, -0.015756832268380094, 0.014232622474082746, -0.13929019872125536, 0.12479028767847922, 0.24591200488066534, 0.09076034346435335, 0.1805338512185699, -0.43242459651082754, -0.1766326706565451, 0.1133771073364187, 0.17695841243403265, 0.1372184538777219, 0.01936560646754515, -0.2504271948710084, 0.14697383762540994, -0.16073336378030945, -0.1518574386718683, -0.16877795987238642, -0.08987360900209751, 0.0015614286967320368, -0.2935085565040936, 0.03943483949797155, -0.042613973513653036, -0.024341455020476133, -0.05808659111403358, -0.148020961896691, -0.03442270547384396, 0.16893306246493012, 0.06549786852326633, 0.06650674028060166, 0.11502846785117526, -0.1517180384362291, -0.08734576608003408, 0.36907213346239587, -0.15134718210902065, -0.2426112141693011, 0.19656938486150466, -0.18694226475054165, -0.10421649458294269, 0.08044086118752602, 0.12845890228345525, 0.10515520826447755, -0.18527018201712053, 0.09263503800229955, -0.03618617737083696, 0.1647767605027184, 0.06022191580632352, 0.0655157050350681, 0.18533443356864154, 0.07426094416587148, 0.0418838300392963, 0.16563732833310496, -0.05444135448124143, -0.08392377490235958, -0.31177527585532516, -0.1296319684915943, -0.1994968993240036, 0.07157099861456118, -0.05830020191001495, -0.1427651756821433, 0.378451261389273, 0.20186645930516534, 0.19756132554539363, 0.10027665496454574, 0.2601942730252631, 0.20933678981964476, 0.1169953536009416, 0.07820112715126015, 0.236721720029891, 0.13323327240141225, 0.09501586073747603, -0.2517570840573171, -0.05790923862150521, 0.0870821702410467] |
711.3861 | Approximation Algorithms for Restless Bandit Problems | The restless bandit problem is one of the most well-studied generalizations
of the celebrated stochastic multi-armed bandit problem in decision theory. In
its ultimate generality, the restless bandit problem is known to be PSPACE-Hard
to approximate to any non-trivial factor, and little progress has been made
despite its importance in modeling activity allocation under uncertainty.
We consider a special case that we call Feedback MAB, where the reward
obtained by playing each of n independent arms varies according to an
underlying on/off Markov process whose exact state is only revealed when the
arm is played. The goal is to design a policy for playing the arms in order to
maximize the infinite horizon time average expected reward. This problem is
also an instance of a Partially Observable Markov Decision Process (POMDP), and
is widely studied in wireless scheduling and unmanned aerial vehicle (UAV)
routing. Unlike the stochastic MAB problem, the Feedback MAB problem does not
admit to greedy index-based optimal policies.
We develop a novel and general duality-based algorithmic technique that
yields a surprisingly simple and intuitive 2+epsilon-approximate greedy policy
to this problem. We then define a general sub-class of restless bandit problems
that we term Monotone bandits, for which our policy is a 2-approximation. Our
technique is robust enough to handle generalizations of these problems to
incorporate various side-constraints such as blocking plays and switching
costs. This technique is also of independent interest for other restless bandit
problems. By presenting the first (and efficient) O(1) approximations for
non-trivial instances of restless bandits as well as of POMDPs, our work
initiates the study of approximation algorithms in both these contexts.
| cs.DS | the restless bandit problem is one of the most wellstudied generalizations of the celebrated stochastic multiarmed bandit problem in decision theory in its ultimate generality the restless bandit problem is known to be pspacehard to approximate to any nontrivial factor and little progress has been made despite its importance in modeling activity allocation under uncertainty we consider a special case that we call feedback mab where the reward obtained by playing each of n independent arms varies according to an underlying onoff markov process whose exact state is only revealed when the arm is played the goal is to design a policy for playing the arms in order to maximize the infinite horizon time average expected reward this problem is also an instance of a partially observable markov decision process pomdp and is widely studied in wireless scheduling and unmanned aerial vehicle uav routing unlike the stochastic mab problem the feedback mab problem does not admit to greedy indexbased optimal policies we develop a novel and general dualitybased algorithmic technique that yields a surprisingly simple and intuitive 2epsilonapproximate greedy policy to this problem we then define a general subclass of restless bandit problems that we term monotone bandits for which our policy is a 2approximation our technique is robust enough to handle generalizations of these problems to incorporate various sideconstraints such as blocking plays and switching costs this technique is also of independent interest for other restless bandit problems by presenting the first and efficient o1 approximations for nontrivial instances of restless bandits as well as of pomdps our work initiates the study of approximation algorithms in both these contexts | [['the', 'restless', 'bandit', 'problem', 'is', 'one', 'of', 'the', 'most', 'wellstudied', 'generalizations', 'of', 'the', 'celebrated', 'stochastic', 'multiarmed', 'bandit', 'problem', 'in', 'decision', 'theory', 'in', 'its', 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711.3862 | Supersymmetric QFT, Super Loop Spaces and Bismut-Chern Character | In this paper, we give a quantum interpretation of the Bismut-Chern character
form (the loop space lifting of the Chern character form) as well as the Chern
character form associated to a complex vector bundle with connection over a
smooth manifold in the framework of supersymmetric quantum field theories
developed by Stolz and Teichner \cite{ST07}. We show that the Bismut-Chern
character form comes up via a loop-deloop process when one goes from $1|1$D
theory over a manifold down to a $0|1$D theory over its free loop space. Based
on our quantum interpretation of the Bismut-Chern character form and Chern
character form, we construct Chern character type maps for SUSY QFTs.
| math.DG math-ph math.MP | in this paper we give a quantum interpretation of the bismutchern character form the loop space lifting of the chern character form as well as the chern character form associated to a complex vector bundle with connection over a smooth manifold in the framework of supersymmetric quantum field theories developed by stolz and teichner citest07 we show that the bismutchern character form comes up via a loopdeloop process when one goes from 11d theory over a manifold down to a 01d theory over its free loop space based on our quantum interpretation of the bismutchern character form and chern character form we construct chern character type maps for susy qfts | [['in', 'this', 'paper', 'we', 'give', 'a', 'quantum', 'interpretation', 'of', 'the', 'bismutchern', 'character', 'form', 'the', 'loop', 'space', 'lifting', 'of', 'the', 'chern', 'character', 'form', 'as', 'well', 'as', 'the', 'chern', 'character', 'form', 'associated', 'to', 'a', 'complex', 'vector', 'bundle', 'with', 'connection', 'over', 'a', 'smooth', 'manifold', 'in', 'the', 'framework', 'of', 'supersymmetric', 'quantum', 'field', 'theories', 'developed', 'by', 'stolz', 'and', 'teichner', 'citest07', 'we', 'show', 'that', 'the', 'bismutchern', 'character', 'form', 'comes', 'up', 'via', 'a', 'loopdeloop', 'process', 'when', 'one', 'goes', 'from', '11d', 'theory', 'over', 'a', 'manifold', 'down', 'to', 'a', '01d', 'theory', 'over', 'its', 'free', 'loop', 'space', 'based', 'on', 'our', 'quantum', 'interpretation', 'of', 'the', 'bismutchern', 'character', 'form', 'and', 'chern', 'character', 'form', 'we', 'construct', 'chern', 'character', 'type', 'maps', 'for', 'susy', 'qfts']] | [-0.16198582545405737, 0.11287230177226269, -0.09981071494123037, 0.05442217935943619, -0.1081869766737024, -0.13781848988340548, 0.040791729733528986, 0.30520607210281825, -0.26815549108303255, -0.2097009449455611, 0.05659685527509147, -0.23034506058320403, -0.23539587569043594, 0.189930947833798, -0.049203880303711804, 0.011698386441653216, 0.027302307137115685, 0.08347015803748811, -0.10279580831950254, -0.22531429614173248, 0.4002984925776858, -0.03677838212806145, 0.2343486336909269, 0.025704437836625234, 0.13345331361913984, 0.012447455619824015, 0.0674181052017957, 0.0066650046150984795, -0.10778096287450117, 0.17369341714894054, 0.23753951642558807, 0.03570752067888087, 0.18605319614289328, -0.4032976547325099, -0.21085931238701083, 0.07429606015621512, 0.09171581551156661, 0.07148564239549968, 0.0040111615337621144, -0.3169964243554407, 0.08567224942251211, -0.21084577659213985, -0.11860777532975017, -0.1400794996448827, 0.010572151286329177, -0.09916167851123545, -0.2050018024035833, 0.01025668971663065, 0.07277350991649588, 0.08917499724258152, -0.08038203196311197, -0.051353608449938255, -0.022565428846670937, 0.08140234828466351, 0.028053347040474397, 0.08875386953716063, 0.0811512130614439, -0.17130405468978332, -0.15946468709174683, 0.38197029373367075, -0.12112774390886814, -0.23235046417728342, 0.12211420441572382, -0.12592359772383202, -0.1300012885066853, 0.14961392389334463, 0.11023207098521569, 0.12830939348700834, 0.021520992526886943, 0.2098186041942056, -0.053912665919159296, 0.12158349232265243, 0.042121459971423504, 0.025478079410580296, 0.22501824797062134, 0.06359973709590526, 0.03418344034192463, 0.1611981995800441, -0.046845584127435426, -0.1595429043992664, -0.3847476001828909, -0.29437750942694646, -0.18033520183181045, 0.17076146346516907, -0.047521601021192815, -0.2121459522383736, 0.4235428453862874, 0.05677807727759635, 0.25357973190127975, 0.10034379116431982, 0.20894777072653933, 0.12598340536998068, 0.06250093796714079, 0.019538080052438157, 0.11793745395348028, 0.1924533347698377, 0.03249277839010271, -0.16070087611916717, -0.05195885697483189, 0.19963308997210805] |
711.3863 | Computing Hilbert modular forms over fields with nontrivial class group | In previous work, the first author developed an algorithm for the computation
of Hilbert modular forms. In this paper, we extend this to all totally real
number fields of even degree and nontrivial class group. Using the algorithm
over $\Q(\sqrt{10})$ and $\Q(\sqrt{85})$ and their Hilbert class fields, we
present some new instances of the conjectural Eichler-Shimura construction for
totally real fields, and in particular find new examples of modular abelian
varieties with everywhere good reduction.
| math.NT math.AG | in previous work the first author developed an algorithm for the computation of hilbert modular forms in this paper we extend this to all totally real number fields of even degree and nontrivial class group using the algorithm over qsqrt10 and qsqrt85 and their hilbert class fields we present some new instances of the conjectural eichlershimura construction for totally real fields and in particular find new examples of modular abelian varieties with everywhere good reduction | [['in', 'previous', 'work', 'the', 'first', 'author', 'developed', 'an', 'algorithm', 'for', 'the', 'computation', 'of', 'hilbert', 'modular', 'forms', 'in', 'this', 'paper', 'we', 'extend', 'this', 'to', 'all', 'totally', 'real', 'number', 'fields', 'of', 'even', 'degree', 'and', 'nontrivial', 'class', 'group', 'using', 'the', 'algorithm', 'over', 'qsqrt10', 'and', 'qsqrt85', 'and', 'their', 'hilbert', 'class', 'fields', 'we', 'present', 'some', 'new', 'instances', 'of', 'the', 'conjectural', 'eichlershimura', 'construction', 'for', 'totally', 'real', 'fields', 'and', 'in', 'particular', 'find', 'new', 'examples', 'of', 'modular', 'abelian', 'varieties', 'with', 'everywhere', 'good', 'reduction']] | [-0.16113599912863072, 0.05415752176247212, -0.06549342916895674, 0.025081780187351858, -0.11154522161854252, -0.08510683242180576, 0.003942568478659305, 0.34385038141722546, -0.2654308394962692, -0.28372644181427076, 0.08156536061680326, -0.18293084714510668, -0.2274911625514904, 0.2737807246716055, -0.11069125928939957, 0.016921820933930576, 0.026702847740013306, 0.06284016011002129, -0.06446038739602655, -0.40358858203438863, 0.4380759081407769, -0.007313073498726351, 0.22125451428790208, 0.039572380668139215, 0.09457123169854079, 0.04122869079065037, -0.03782532135445676, -0.007561321689249718, -0.10084218202056745, 0.1775999475806339, 0.29449931081473724, 0.0923211144359961, 0.2167964698619222, -0.39307442664691844, -0.14938464183766995, 0.22237329750819362, 0.09854017705847956, 0.09827481411805708, -0.07771411505910529, -0.2675433859024962, 0.07414471959593157, -0.18843572084614146, -0.14884530870907314, -0.16826088278720233, 0.02730860023389328, -0.014577090382984239, -0.23675660651547145, -0.008824036456644535, 0.07742640440677587, 0.16195201687514782, -0.08120317898741732, -0.11641035411404828, 0.05174248841629453, 0.08114282728160081, 0.016003714032369117, 0.030815300461517214, 0.019794557358406177, -0.12006443743402623, -0.1441543488827062, 0.3231370691975502, -0.04396795481283932, -0.18080261949296683, 0.18745035562051893, -0.14740491196615238, -0.2213447501704301, 0.13100693122266907, 0.18215324617411993, 0.17372376820047017, -0.060940721799453645, 0.16298025703912422, -0.1350228745133093, 0.06352297278529365, 0.07176898042224858, -0.004876275317207591, 0.08375380165262582, 0.07225309535286913, 0.06299528576535722, 0.16242207098777775, 0.004535687318684099, -0.07324093837316518, -0.3644998593204846, -0.24811016885948062, -0.14597576153815456, 0.041365828964706156, -0.08136948566064112, -0.19090980745545805, 0.45947842761772134, 0.1297517708081701, 0.18926931913202144, 0.1686148151423629, 0.2473591286433886, 0.05989785660823731, 0.04917288161750424, 0.11336086820555877, 0.1255575935950356, 0.1660203440752748, 0.0361638599033914, -0.09945103985397782, -0.04529177748330244, 0.09280069422436087] |
711.3864 | Difference fields and descent in algebraic dynamics - I | We draw a connection between the model-theoretic notions of modularity (or
one-basedness), orthogonality and internality, as applied to difference fields,
and questions of descent in in algebraic dynamics. In particular we prove in
any dimension a strong dynamical version of Northcott's theorem for function
fields, answering a question of Szpiro and Tucker and generalizing a theorem of
Baker's for the projective line.
The paper comes in three parts. This first part contains an exposition some
of the main results of the model theory of difference fields, and their
immediate connection to questions of descent in algebraic dynamics. We present
the model-theoretic notion of internality in a context that does not require a
universal domain with quantifier-elimination. We also note a version of
canonical heights that applies well beyond polarized algebraic dynamics. Part
II sharpens the structure theory to arbitrary base fields and constructible
maps where in part I we emphasize finite base change and correspondences. Part
III will include precise structure theorems related to the Galois theory
considered here, and will enable a sharpening of the descent results for
non-modular dynamics.
| math.LO math.AG | we draw a connection between the modeltheoretic notions of modularity or onebasedness orthogonality and internality as applied to difference fields and questions of descent in in algebraic dynamics in particular we prove in any dimension a strong dynamical version of northcotts theorem for function fields answering a question of szpiro and tucker and generalizing a theorem of bakers for the projective line the paper comes in three parts this first part contains an exposition some of the main results of the model theory of difference fields and their immediate connection to questions of descent in algebraic dynamics we present the modeltheoretic notion of internality in a context that does not require a universal domain with quantifierelimination we also note a version of canonical heights that applies well beyond polarized algebraic dynamics part ii sharpens the structure theory to arbitrary base fields and constructible maps where in part i we emphasize finite base change and correspondences part iii will include precise structure theorems related to the galois theory considered here and will enable a sharpening of the descent results for nonmodular dynamics | [['we', 'draw', 'a', 'connection', 'between', 'the', 'modeltheoretic', 'notions', 'of', 'modularity', 'or', 'onebasedness', 'orthogonality', 'and', 'internality', 'as', 'applied', 'to', 'difference', 'fields', 'and', 'questions', 'of', 'descent', 'in', 'in', 'algebraic', 'dynamics', 'in', 'particular', 'we', 'prove', 'in', 'any', 'dimension', 'a', 'strong', 'dynamical', 'version', 'of', 'northcotts', 'theorem', 'for', 'function', 'fields', 'answering', 'a', 'question', 'of', 'szpiro', 'and', 'tucker', 'and', 'generalizing', 'a', 'theorem', 'of', 'bakers', 'for', 'the', 'projective', 'line', 'the', 'paper', 'comes', 'in', 'three', 'parts', 'this', 'first', 'part', 'contains', 'an', 'exposition', 'some', 'of', 'the', 'main', 'results', 'of', 'the', 'model', 'theory', 'of', 'difference', 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711.3865 | Difference fields and descent in algebraic dynamics, II | This second part of the paper strengthens the descent theory described in the
first part to rational maps, arbitrary base fields, and dynamics given by
correspondences. We obtain in particular a decomposition of any difference
field extension into a tower of finite, field-internal and one-based difference
field extensions. This is needed in order to obtain the "dynamical Northcott"
Theorem 1.11 of Part I in sharp form.
| math.LO math.AG | this second part of the paper strengthens the descent theory described in the first part to rational maps arbitrary base fields and dynamics given by correspondences we obtain in particular a decomposition of any difference field extension into a tower of finite fieldinternal and onebased difference field extensions this is needed in order to obtain the dynamical northcott theorem 111 of part i in sharp form | [['this', 'second', 'part', 'of', 'the', 'paper', 'strengthens', 'the', 'descent', 'theory', 'described', 'in', 'the', 'first', 'part', 'to', 'rational', 'maps', 'arbitrary', 'base', 'fields', 'and', 'dynamics', 'given', 'by', 'correspondences', 'we', 'obtain', 'in', 'particular', 'a', 'decomposition', 'of', 'any', 'difference', 'field', 'extension', 'into', 'a', 'tower', 'of', 'finite', 'fieldinternal', 'and', 'onebased', 'difference', 'field', 'extensions', 'this', 'is', 'needed', 'in', 'order', 'to', 'obtain', 'the', 'dynamical', 'northcott', 'theorem', '111', 'of', 'part', 'i', 'in', 'sharp', 'form']] | [-0.15895735079494233, 0.06611715086664145, -0.11219218121125148, 0.06418378532756693, -0.06312168862384099, -0.04805012387760843, 0.007990501126131186, 0.2890772385809284, -0.29645090401172636, -0.26299543423005023, 0.0923431902550734, -0.20289089310054595, -0.161381280533253, 0.14175049592382633, -0.09735964911703307, -0.04756883428646968, -0.008424433496279212, 0.06740040578521216, -0.06939838528633117, -0.2513937577121676, 0.3581025552935898, -0.032320445088239814, 0.20680035569776709, 0.04904516491179283, 0.11282989487338524, 0.04732967609396348, -0.039598622946785046, 0.02604782870039344, -0.1319758978815606, 0.16476207978736895, 0.27270012272951694, 0.07627568979962514, 0.2580411239885367, -0.3888580905846678, -0.1600402550915113, 0.14558359427520862, 0.1281579616981057, 0.09539152436818067, -0.05549117956453791, -0.22604869151344667, 0.09247929330628651, -0.15828210146954427, -0.1677651285408781, -0.04650097770186571, 0.01654066988446105, 0.021367361711768004, -0.277218731578726, 0.02652295922430662, 0.13494306433041436, 0.11473713900464086, -0.08346153797868353, -0.06611157424676303, 0.03723012710419985, 0.11859865207225084, 0.022586901353385588, 0.08754773117207851, 0.06085019095156055, -0.10918473818411048, -0.09553992430178018, 0.35553670436716994, -0.1413657198731716, -0.18743225156974333, 0.13037607370016094, -0.17520144518034964, -0.15475016671877642, 0.11712938656027501, 0.13827504610212948, 0.13606128426125416, -0.08711113039439974, 0.15965234776074513, -0.057198818242893766, 0.1353342359778113, 0.09233122794673992, -0.03193708242705235, 0.13830334299172348, 0.08614853815032313, 0.09332016927834887, 0.16867543236137583, -0.013456782619827069, -0.0969086588288729, -0.3951362095056818, -0.2079258542221326, -0.1510985205308176, 0.04670898937262022, -0.06159835100630656, -0.17510576594907504, 0.4305251451459928, 0.12649373292493132, 0.19803277880239945, 0.0591385861285604, 0.2721418125554919, 0.12552588049035807, 0.04408567626602375, 0.06405311443914588, 0.19068730161167108, 0.2428121569673889, 0.07864085524701155, -0.14400037939418464, -0.024941654754086183, 0.17020482653035568] |
711.3866 | Integrated Optical Approach to Trapped Ion Quantum Computation | Recent experimental progress in quantum information processing with trapped
ions have demonstrated most of the fundamental elements required to realize a
scalable quantum computer. The next set of challenges lie in realization of a
large number of qubits and the means to prepare, manipulate and measure them,
leading to error-protected qubits and fault tolerant architectures. The
integration of qubits necessarily require integrated optical approach as most
of these operations involve interaction with photons. In this paper, we discuss
integrated optics technologies and concrete optical designs needed for the
physical realization of scalable quantum computer.
| quant-ph | recent experimental progress in quantum information processing with trapped ions have demonstrated most of the fundamental elements required to realize a scalable quantum computer the next set of challenges lie in realization of a large number of qubits and the means to prepare manipulate and measure them leading to errorprotected qubits and fault tolerant architectures the integration of qubits necessarily require integrated optical approach as most of these operations involve interaction with photons in this paper we discuss integrated optics technologies and concrete optical designs needed for the physical realization of scalable quantum computer | [['recent', 'experimental', 'progress', 'in', 'quantum', 'information', 'processing', 'with', 'trapped', 'ions', 'have', 'demonstrated', 'most', 'of', 'the', 'fundamental', 'elements', 'required', 'to', 'realize', 'a', 'scalable', 'quantum', 'computer', 'the', 'next', 'set', 'of', 'challenges', 'lie', 'in', 'realization', 'of', 'a', 'large', 'number', 'of', 'qubits', 'and', 'the', 'means', 'to', 'prepare', 'manipulate', 'and', 'measure', 'them', 'leading', 'to', 'errorprotected', 'qubits', 'and', 'fault', 'tolerant', 'architectures', 'the', 'integration', 'of', 'qubits', 'necessarily', 'require', 'integrated', 'optical', 'approach', 'as', 'most', 'of', 'these', 'operations', 'involve', 'interaction', 'with', 'photons', 'in', 'this', 'paper', 'we', 'discuss', 'integrated', 'optics', 'technologies', 'and', 'concrete', 'optical', 'designs', 'needed', 'for', 'the', 'physical', 'realization', 'of', 'scalable', 'quantum', 'computer']] | [-0.1347425858272819, 0.13412150064919223, 0.009509552567404635, -0.0370934420436165, -0.04095584590067255, -0.2145339620913914, 0.02855958567530987, 0.41086833097754005, -0.23005932772859058, -0.3479126779699421, 0.09069200567009443, -0.24877731018560997, -0.1391321681526569, 0.2733369747949566, -0.06778782294156585, 0.1724611304309021, 0.08343971686476738, -0.01997206663276921, -0.05807875885202133, -0.2654423468270676, 0.24121299727839676, 0.034635087961895746, 0.30266272103255415, 0.027932637014446107, 0.11864330993341084, -0.0029381675598647524, -0.02519801416542094, -0.05928968230356522, -0.09157015583378837, 0.23922415469039945, 0.33583146721642326, 0.12392368849287642, 0.2663396651202694, -0.53137716341843, -0.17888504371760375, 0.0996250501298841, 0.1452283466115911, 0.1802952927240032, -0.09576304930514913, -0.2701848886926916, 0.01156333326659304, -0.18491762658541508, -0.11530700732676431, -0.12259467508602996, 0.04327150669067781, -0.01673550590218857, -0.21078724231808743, -0.03461706009693444, 0.0002279091586774968, 0.06113650236635449, 0.05572676011163028, -0.04183477681982232, 0.0780013142366636, 0.13376900766223193, -0.1232218494876585, -0.002363709503774868, 0.17513797603091819, -0.1408130684842732, -0.23168131296443653, 0.3866713733035833, 0.046092693101951576, -0.15729418332797496, 0.2051897497669338, -0.06542057323794653, -0.13981412291685316, 0.05471513099582034, 0.1849774538162858, 0.05955131378636616, -0.134085059295993, 0.055933785761032806, 0.07822382439205304, 0.17984379213699636, 0.03478478776053228, 0.18955311037481148, 0.24205410389348547, 0.20146663112446983, 0.07326215705363714, 0.14521822463126577, -0.04462233062200694, -0.11162259911206808, -0.3068468674541788, -0.23642195265819418, -0.2151204098060608, 0.08323308952806636, -0.03218662586778977, -0.15886331035537607, 0.3515244675800204, 0.2356199601137555, 0.14758131598082788, -0.03355233913703643, 0.3343536916654557, 0.06602545389475206, 0.14110593997224413, 0.061521499229476174, 0.22148542052897763, 0.17592183197353115, 0.0929991092948996, -0.20370806615918557, -0.00013827514324456135, -0.027926550306221272] |
711.3867 | A Family of Likelihood Ascent Search Multiuser Detectors: Approach to
Single-User Performance via Quasi-Large Random Sequence CDMA | Since Tse and Verdu proved that the global maximum likelihood (GML) detector
achieves unit asymptotic multiuser efficiency (AME) in the limit of large
random spreading (LRS) CDMA, no suboptimal detector has been found to achieve
unit AME. In this letter, we obtain that the WSLAS detector with a linear
per-bit complexity achieves unit AME in the LRS-CDMA with a channel load < 1/2
- 1/(4ln2) bits/s/Hz. For a practical system with any user number, a quasi
LRS-CDMA is then proposed to approach the single-user performance in the high
SNR regime.
| cs.IT math.IT | since tse and verdu proved that the global maximum likelihood gml detector achieves unit asymptotic multiuser efficiency ame in the limit of large random spreading lrs cdma no suboptimal detector has been found to achieve unit ame in this letter we obtain that the wslas detector with a linear perbit complexity achieves unit ame in the lrscdma with a channel load 12 14ln2 bitsshz for a practical system with any user number a quasi lrscdma is then proposed to approach the singleuser performance in the high snr regime | [['since', 'tse', 'and', 'verdu', 'proved', 'that', 'the', 'global', 'maximum', 'likelihood', 'gml', 'detector', 'achieves', 'unit', 'asymptotic', 'multiuser', 'efficiency', 'ame', 'in', 'the', 'limit', 'of', 'large', 'random', 'spreading', 'lrs', 'cdma', 'no', 'suboptimal', 'detector', 'has', 'been', 'found', 'to', 'achieve', 'unit', 'ame', 'in', 'this', 'letter', 'we', 'obtain', 'that', 'the', 'wslas', 'detector', 'with', 'a', 'linear', 'perbit', 'complexity', 'achieves', 'unit', 'ame', 'in', 'the', 'lrscdma', 'with', 'a', 'channel', 'load', '12', '14ln2', 'bitsshz', 'for', 'a', 'practical', 'system', 'with', 'any', 'user', 'number', 'a', 'quasi', 'lrscdma', 'is', 'then', 'proposed', 'to', 'approach', 'the', 'singleuser', 'performance', 'in', 'the', 'high', 'snr', 'regime']] | [-0.177015200650896, -0.006780292545001777, -0.05765155603417259, -0.000985511761557843, -0.009201905285451738, -0.23165654694838894, 0.11299991704124425, 0.3778465273568318, -0.17859366497335336, -0.267173954141548, 0.08469488136359446, -0.26050401315262117, -0.1369445267011456, 0.16574403362271065, -0.1354862914720018, 0.12018506272718132, 0.0462844924768433, 0.05150963570867177, -0.0445759533849057, -0.30977955818664105, 0.17404467873607896, 0.18340075375800508, 0.37490834698214065, 0.016651476544904568, 0.14970464049838483, -0.029326262337798698, 0.027693456277206895, -0.014921910550800107, -0.08991318227743336, 0.07212255938377764, 0.3277924644561218, 0.17247471860554514, 0.24036744148248718, -0.3140809294058099, -0.24313247193848447, 0.12668390167389243, 0.16066037237483433, 0.04800191655799392, -0.06119484051928988, -0.22868688841394724, 0.16780953690232264, -0.23973940396016197, -0.04395733129543563, 0.042641196388839966, -0.0315281855679738, -0.019812957460263056, -0.3701781933306761, 0.053621174649119245, 0.05821901477160975, 0.023494013901134685, -0.014174516035598658, -0.1459250683283677, 0.036215134164584536, 0.09405757290022891, 0.0020415338942603696, 0.026359296223658714, 0.0801168727089784, -0.08770020527576673, -0.12660054614700908, 0.30287895914876745, -0.069295739023281, -0.254307550777282, 0.17669201172802354, -0.19830836911707939, -0.08763053968903564, 0.19546033149319036, 0.19153456140442618, 0.04493363128997208, -0.17653431243490472, 0.11455576423308923, -0.06895768288744702, 0.22270452846437583, 0.11192163002366821, 0.11360417144896928, 0.10820986114586481, 0.21717014064363735, 0.13534867302847228, 0.20959239893376694, -0.1849874619379296, -0.07657133616019218, -0.20612660470596028, -0.15352627748091305, -0.24938665955172232, 0.04214401080528097, -0.13238759155900057, -0.11261651752560976, 0.32417558919682743, 0.12236643325914406, 0.1365945187641219, 0.15426177525382845, 0.33560310162249063, 0.10835203649808786, 0.01739276013159681, 0.17069729643740825, 0.2672710053267933, 0.10631058790854045, 0.12534977306218242, -0.2207114031383147, 0.05904798194976701, 0.00617267660640036] |
711.3868 | A comparison of spectral element and finite difference methods using
statically refined nonconforming grids for the MHD island coalescence
instability problem | A recently developed spectral-element adaptive refinement incompressible
magnetohydrodynamic (MHD) code [Rosenberg, Fournier, Fischer, Pouquet, J. Comp.
Phys. 215, 59-80 (2006)] is applied to simulate the problem of MHD island
coalescence instability (MICI) in two dimensions. MICI is a fundamental MHD
process that can produce sharp current layers and subsequent reconnection and
heating in a high-Lundquist number plasma such as the solar corona [Ng and
Bhattacharjee, Phys. Plasmas, 5, 4028 (1998)]. Due to the formation of thin
current layers, it is highly desirable to use adaptively or statically refined
grids to resolve them, and to maintain accuracy at the same time. The output of
the spectral-element static adaptive refinement simulations are compared with
simulations using a finite difference method on the same refinement grids, and
both methods are compared to pseudo-spectral simulations with uniform grids as
baselines. It is shown that with the statically refined grids roughly scaling
linearly with effective resolution, spectral element runs can maintain accuracy
significantly higher than that of the finite difference runs, in some cases
achieving close to full spectral accuracy.
| physics.comp-ph astro-ph.EP astro-ph.SR physics.plasm-ph physics.space-ph | a recently developed spectralelement adaptive refinement incompressible magnetohydrodynamic mhd code rosenberg fournier fischer pouquet j comp phys 215 5980 2006 is applied to simulate the problem of mhd island coalescence instability mici in two dimensions mici is a fundamental mhd process that can produce sharp current layers and subsequent reconnection and heating in a highlundquist number plasma such as the solar corona ng and bhattacharjee phys plasmas 5 4028 1998 due to the formation of thin current layers it is highly desirable to use adaptively or statically refined grids to resolve them and to maintain accuracy at the same time the output of the spectralelement static adaptive refinement simulations are compared with simulations using a finite difference method on the same refinement grids and both methods are compared to pseudospectral simulations with uniform grids as baselines it is shown that with the statically refined grids roughly scaling linearly with effective resolution spectral element runs can maintain accuracy significantly higher than that of the finite difference runs in some cases achieving close to full spectral accuracy | [['a', 'recently', 'developed', 'spectralelement', 'adaptive', 'refinement', 'incompressible', 'magnetohydrodynamic', 'mhd', 'code', 'rosenberg', 'fournier', 'fischer', 'pouquet', 'j', 'comp', 'phys', '215', '5980', '2006', 'is', 'applied', 'to', 'simulate', 'the', 'problem', 'of', 'mhd', 'island', 'coalescence', 'instability', 'mici', 'in', 'two', 'dimensions', 'mici', 'is', 'a', 'fundamental', 'mhd', 'process', 'that', 'can', 'produce', 'sharp', 'current', 'layers', 'and', 'subsequent', 'reconnection', 'and', 'heating', 'in', 'a', 'highlundquist', 'number', 'plasma', 'such', 'as', 'the', 'solar', 'corona', 'ng', 'and', 'bhattacharjee', 'phys', 'plasmas', '5', '4028', '1998', 'due', 'to', 'the', 'formation', 'of', 'thin', 'current', 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711.3869 | A Family of Likelihood Ascent Search Multiuser Detectors: an Upper Bound
of Bit Error Rate and a Lower Bound of Asymptotic Multiuser Efficiency | In this paper, the bit error performance of a family of likelihood ascent
search (LAS) multiuser detectors is analyzed. An upper bound on the BER of any
LAS detector is obtained by bounding the fixed point region with the worst
initial detector. The concept of indecomposable errors developed by Verdu is
applied to tighten the upper bound. In a special instance, the upper bound is
reduced to that for all the local maximum likelihood detectors. The upper bound
is comparable with that of the optimum detector obtained by Verdu. A lower
bound on the asymptotic multiuser efficiency (AME) is then obtained. It is
shown that there are nontrivial CDMA channels such that a LAS detector can
achieve unit AME regardless of user number. The AME lower bound provides a
means for further seeking a good set of spreading sequences and power
distribution for spectral and power efficient CDMA.
| cs.IT math.IT | in this paper the bit error performance of a family of likelihood ascent search las multiuser detectors is analyzed an upper bound on the ber of any las detector is obtained by bounding the fixed point region with the worst initial detector the concept of indecomposable errors developed by verdu is applied to tighten the upper bound in a special instance the upper bound is reduced to that for all the local maximum likelihood detectors the upper bound is comparable with that of the optimum detector obtained by verdu a lower bound on the asymptotic multiuser efficiency ame is then obtained it is shown that there are nontrivial cdma channels such that a las detector can achieve unit ame regardless of user number the ame lower bound provides a means for further seeking a good set of spreading sequences and power distribution for spectral and power efficient cdma | [['in', 'this', 'paper', 'the', 'bit', 'error', 'performance', 'of', 'a', 'family', 'of', 'likelihood', 'ascent', 'search', 'las', 'multiuser', 'detectors', 'is', 'analyzed', 'an', 'upper', 'bound', 'on', 'the', 'ber', 'of', 'any', 'las', 'detector', 'is', 'obtained', 'by', 'bounding', 'the', 'fixed', 'point', 'region', 'with', 'the', 'worst', 'initial', 'detector', 'the', 'concept', 'of', 'indecomposable', 'errors', 'developed', 'by', 'verdu', 'is', 'applied', 'to', 'tighten', 'the', 'upper', 'bound', 'in', 'a', 'special', 'instance', 'the', 'upper', 'bound', 'is', 'reduced', 'to', 'that', 'for', 'all', 'the', 'local', 'maximum', 'likelihood', 'detectors', 'the', 'upper', 'bound', 'is', 'comparable', 'with', 'that', 'of', 'the', 'optimum', 'detector', 'obtained', 'by', 'verdu', 'a', 'lower', 'bound', 'on', 'the', 'asymptotic', 'multiuser', 'efficiency', 'ame', 'is', 'then', 'obtained', 'it', 'is', 'shown', 'that', 'there', 'are', 'nontrivial', 'cdma', 'channels', 'such', 'that', 'a', 'las', 'detector', 'can', 'achieve', 'unit', 'ame', 'regardless', 'of', 'user', 'number', 'the', 'ame', 'lower', 'bound', 'provides', 'a', 'means', 'for', 'further', 'seeking', 'a', 'good', 'set', 'of', 'spreading', 'sequences', 'and', 'power', 'distribution', 'for', 'spectral', 'and', 'power', 'efficient', 'cdma']] | [-0.165909354417857, 0.05874724475742787, -0.08576281029766235, 0.07977860035985154, -0.026392268191557378, -0.17146116289045862, 0.11524778927402646, 0.3111916755867266, -0.18098295080739804, -0.3461206679521884, 0.10312760751096632, -0.27513263698484797, -0.14169703784117135, 0.23705959031075188, -0.08510907309470428, 0.09136418462416308, 0.06196360660377084, 0.06890756356831942, -0.0553048086192182, -0.3001886005890933, 0.23557444343444062, 0.1726026191467394, 0.32576905492365965, 0.022031244132793636, 0.09154751733876765, -0.034057778715332214, 0.008607464236823993, -0.027290496717181964, -0.15347600183422155, 0.1290142897113755, 0.3014426647333076, 0.20565079359299931, 0.21459334747349793, -0.3253145228530205, -0.1633113680479771, 0.13838566287823423, 0.1668832124882642, 0.05516088229755091, -0.07368039547755206, -0.27162923134007566, 0.131705859978054, -0.17701198279580757, -0.049656182552712994, 0.03701664231374633, -0.019876965415991238, 0.021419723415936065, -0.3409693397823847, 0.015774258211053705, 0.09186769579379894, 0.027915909766011895, -0.023449843636134993, -0.1792430583437955, 0.01071065418560662, 0.1153750983601738, -0.03310085857142317, 0.03546051919850445, 0.08175245480536408, -0.11803028449523137, -0.08964998631209538, 0.25474098766013364, -0.10762406272712995, -0.22064630707216173, 0.13496038392563728, -0.13591421045979635, -0.06717057114253072, 0.18730772648248947, 0.1862301204850696, 0.1025558361733282, -0.1742907294632263, 0.11645087570099891, -0.08526701662009833, 0.19141236825502395, 0.1153766813379637, 0.09240155708441208, 0.13419849088500455, 0.16685252101475223, 0.20218348920949408, 0.19499706191079993, -0.14324004647661806, -0.05494110846445216, -0.27486570256233617, -0.1495494108349777, -0.25579786535141663, 0.018748002325033618, -0.1350536955639679, -0.12445421404314598, 0.32687685856708903, 0.10679187624860001, 0.1570894048498893, 0.13279779981570067, 0.3294949534072264, 0.14916495986314682, 0.017559495544520434, 0.14113036065906714, 0.2687933540248589, 0.10157970695070469, 0.005623904424971221, -0.1985557810529261, 0.10850467086404662, 0.09297929710305038] |
711.387 | The G-Fredholm Property of the \bar\partial-Neumann Problem | Let $G$ be a unimodular Lie group, $X$ a compact manifold with boundary, and
$M$ be the total space of a principal bundle $G\to M\to X$ so that $M$ is also
a strongly pseudoconvex complex manifold. In this work, we show that if $G$
acts by holomorphic transformations in $M$, then the complex Laplacian
$\square$ on $M$ has the following properties: The kernel of $\square$
restricted to the forms $\Lambda^{p,q}$ with $q$ positive is a closed,
$G$-invariant subspace in $L^{2}(M,\Lambda^{p,q})$ of finite $G$-dimension.
Secondly, we show that if $q$ is positive, then the image of $\square$ contains
a closed, $G$-invariant subspace of finite codimension in
$L^{2}(M,\Lambda^{p,q})$. These two properties taken together amount to saying
that $\square$ is a $G$-Fredholm operator. The boundary Laplacian has similar
properties.
| math.CV math.AP | let g be a unimodular lie group x a compact manifold with boundary and m be the total space of a principal bundle gto mto x so that m is also a strongly pseudoconvex complex manifold in this work we show that if g acts by holomorphic transformations in m then the complex laplacian square on m has the following properties the kernel of square restricted to the forms lambdapq with q positive is a closed ginvariant subspace in l2mlambdapq of finite gdimension secondly we show that if q is positive then the image of square contains a closed ginvariant subspace of finite codimension in l2mlambdapq these two properties taken together amount to saying that square is a gfredholm operator the boundary laplacian has similar properties | [['let', 'g', 'be', 'a', 'unimodular', 'lie', 'group', 'x', 'a', 'compact', 'manifold', 'with', 'boundary', 'and', 'm', 'be', 'the', 'total', 'space', 'of', 'a', 'principal', 'bundle', 'gto', 'mto', 'x', 'so', 'that', 'm', 'is', 'also', 'a', 'strongly', 'pseudoconvex', 'complex', 'manifold', 'in', 'this', 'work', 'we', 'show', 'that', 'if', 'g', 'acts', 'by', 'holomorphic', 'transformations', 'in', 'm', 'then', 'the', 'complex', 'laplacian', 'square', 'on', 'm', 'has', 'the', 'following', 'properties', 'the', 'kernel', 'of', 'square', 'restricted', 'to', 'the', 'forms', 'lambdapq', 'with', 'q', 'positive', 'is', 'a', 'closed', 'ginvariant', 'subspace', 'in', 'l2mlambdapq', 'of', 'finite', 'gdimension', 'secondly', 'we', 'show', 'that', 'if', 'q', 'is', 'positive', 'then', 'the', 'image', 'of', 'square', 'contains', 'a', 'closed', 'ginvariant', 'subspace', 'of', 'finite', 'codimension', 'in', 'l2mlambdapq', 'these', 'two', 'properties', 'taken', 'together', 'amount', 'to', 'saying', 'that', 'square', 'is', 'a', 'gfredholm', 'operator', 'the', 'boundary', 'laplacian', 'has', 'similar', 'properties']] | [-0.20511024323105811, 0.11524343978008256, -0.0822635569870472, -0.013206500300206245, -0.1278349243476987, -0.1385885692499578, -0.03677044039405882, 0.4012525008618832, -0.3013119416795671, -0.1572084632050246, 0.10813572765374556, -0.29156071930378674, -0.15915999060124159, 0.14651753664389253, -0.10226871173083782, -0.03727412117831409, 0.08957696825265885, 0.1659844346717, -0.12667117402330041, -0.2740011378610507, 0.4151300606243312, -0.06299988761544227, 0.17072781800478698, 0.037358322761952875, 0.1442289691977203, -0.03750922093167901, 0.04557668698951602, 0.055126291861524804, -0.14300219401833603, 0.09229566638544202, 0.2543238215520978, 0.08132433914020658, 0.2757837029993534, -0.34400378981232643, -0.1914720107316971, 0.2190141448676586, 0.12145513366162777, -0.0929875797778368, 0.0019626343892887236, -0.25635794323682787, 0.1558873054087162, -0.08046098055690527, -0.14197263872623445, -0.047142893865704534, 0.10732429218292236, -0.01923149602673948, -0.27376228692755106, -0.012000178585061803, 0.12162169679999352, 0.055876370713114736, -0.04581467364355922, -0.1262802386432886, -0.1087394663952291, 0.058436365690082315, -0.04609450579062104, 0.12418785162176937, 0.08334107613191008, -0.012509744558250532, -0.04573231882974505, 0.3569500592648983, -0.13154249101877213, -0.29680694053322076, 0.10208802746795118, -0.2091116392724216, -0.14718461187183857, 0.13625921823829412, 0.12190989019535482, 0.1461950840651989, -0.05113810551911593, 0.25047602319484574, -0.15958275619708, 0.12229891734570265, 0.03349463415890932, -0.02998936278373003, 0.13380128233740107, 0.11247534013539552, 0.1595738768912852, 0.1185282186018303, -0.021598141117021442, 0.034151278011500835, -0.34749253863096236, -0.1971022537201643, -0.22627651299536228, 0.20547948955744505, -0.11387194294098299, -0.17606752209039406, 0.35113737780973314, 0.014558596473187208, 0.23864887829124928, 0.06018787044286728, 0.21011003439128398, 0.07222144405357539, 0.06743142233788967, 0.11720067773759366, 0.09413026432693004, 0.21586028133146465, -0.06312159309536218, -0.17757760501187295, -0.0711937210150063, 0.16663499457389117] |
711.3871 | Packing 3-Vertex Paths in Claw-Free Graphs | An L-factor of a graph G is a spanning subgraph of G whose every component is
a 3-vertex path. Let v(G) denote the number of vertices of G. A graph is called
claw-free if it does not have a subgraph isomorphic to the graph with 4
vertices and 3 edges having a common vertex. Our results include the following.
Let G$ be a 3-connected claw-free graph, x be a vertex, e = xy be an edge, and
P be a 3-vertex path in G. Then (c1) if v(G) = 0 mod 3, then G has an L-factor
containing (avoiding) e, (c2) if v(G) = 1 mod 3, then G - x has a L-factor,
(c3) if v(G) = 2 mod 3, then G - x -y has an L-factor, (c4) if v(G) = 0 mod 3
and G is either cubic or 4-connected, then G - P has an L-factor, and (c5) if G
is cubic and E is a set of three edges in G, then G - E has an L -factor if and
only if the subgraph induced by E in G is not a claw and not a triangle.
Keywords: claw-free graph, cubic graph, L-packing, L-factor.
| math.CO | an lfactor of a graph g is a spanning subgraph of g whose every component is a 3vertex path let vg denote the number of vertices of g a graph is called clawfree if it does not have a subgraph isomorphic to the graph with 4 vertices and 3 edges having a common vertex our results include the following let g be a 3connected clawfree graph x be a vertex e xy be an edge and p be a 3vertex path in g then c1 if vg 0 mod 3 then g has an lfactor containing avoiding e c2 if vg 1 mod 3 then g x has a lfactor c3 if vg 2 mod 3 then g x y has an lfactor c4 if vg 0 mod 3 and g is either cubic or 4connected then g p has an lfactor and c5 if g is cubic and e is a set of three edges in g then g e has an l factor if and only if the subgraph induced by e in g is not a claw and not a triangle keywords clawfree graph cubic graph lpacking lfactor | [['an', 'lfactor', 'of', 'a', 'graph', 'g', 'is', 'a', 'spanning', 'subgraph', 'of', 'g', 'whose', 'every', 'component', 'is', 'a', '3vertex', 'path', 'let', 'vg', 'denote', 'the', 'number', 'of', 'vertices', 'of', 'g', 'a', 'graph', 'is', 'called', 'clawfree', 'if', 'it', 'does', 'not', 'have', 'a', 'subgraph', 'isomorphic', 'to', 'the', 'graph', 'with', '4', 'vertices', 'and', '3', 'edges', 'having', 'a', 'common', 'vertex', 'our', 'results', 'include', 'the', 'following', 'let', 'g', 'be', 'a', '3connected', 'clawfree', 'graph', 'x', 'be', 'a', 'vertex', 'e', 'xy', 'be', 'an', 'edge', 'and', 'p', 'be', 'a', '3vertex', 'path', 'in', 'g', 'then', 'c1', 'if', 'vg', '0', 'mod', '3', 'then', 'g', 'has', 'an', 'lfactor', 'containing', 'avoiding', 'e', 'c2', 'if', 'vg', '1', 'mod', '3', 'then', 'g', 'x', 'has', 'a', 'lfactor', 'c3', 'if', 'vg', '2', 'mod', '3', 'then', 'g', 'x', 'y', 'has', 'an', 'lfactor', 'c4', 'if', 'vg', '0', 'mod', '3', 'and', 'g', 'is', 'either', 'cubic', 'or', '4connected', 'then', 'g', 'p', 'has', 'an', 'lfactor', 'and', 'c5', 'if', 'g', 'is', 'cubic', 'and', 'e', 'is', 'a', 'set', 'of', 'three', 'edges', 'in', 'g', 'then', 'g', 'e', 'has', 'an', 'l', 'factor', 'if', 'and', 'only', 'if', 'the', 'subgraph', 'induced', 'by', 'e', 'in', 'g', 'is', 'not', 'a', 'claw', 'and', 'not', 'a', 'triangle', 'keywords', 'clawfree', 'graph', 'cubic', 'graph', 'lpacking', 'lfactor']] | [-0.23099000803658162, 0.13529539622636097, -0.07489028424195243, -0.08773662070822975, -0.1362560125353078, -0.2089159247509316, 0.01658820910610902, 0.4352464792830626, -0.31479251376323947, -0.2843646433555487, 0.04577670540692314, -0.37985151760397157, -0.12712302986966417, 0.04986075290444634, -0.09678207657846051, -0.09044794888718356, 0.14085108822416417, 0.19812767660118522, 0.05133584778510882, -0.270639689438379, 0.23806763006555873, -0.1513525560420221, 0.07835616746183524, 0.08519759032685134, 0.1028293806996138, 0.04053371351612098, 0.10904454084293654, 0.0912704771111539, -0.1932499023612725, -0.0014077379607171287, 0.27236768402676076, 0.13082519957688465, 0.26134322300438734, -0.35825459108275304, -0.15902135846770676, 0.3482827735742973, 0.09384515694054868, -0.12013276571320146, 0.05061067084547776, -0.17385010579991014, 0.22319119181346084, -0.1371952862422718, -0.059967151521193106, 0.055452302533460306, 0.30179848335683346, -0.051542371988091716, -0.3398281430791459, -0.07956305622118305, 0.15460967946631823, 0.0622792001374807, 0.15085929384971944, -0.18561025513384824, -0.19131390297668377, 0.03454275822561936, -0.1524644381709821, 0.27128667443873683, 0.020095061534876734, -0.09770377169982457, -0.16695128209128274, 0.4174981848653698, -0.04721923731937907, -0.14292110452496726, 0.04936916083682582, -0.16119131294483835, -0.18984544195761388, 0.1673436909231372, 0.020087901838075038, 0.16650935889743462, -0.058407153179978764, 0.26869202030765343, -0.12128496169602054, 0.13509486137075027, 0.09777712559142195, -0.10699911476009287, 0.1139708061588115, 0.10478099594465627, 0.19566962615762354, 0.11153918847622087, -0.007386969002597619, 0.2875890258056019, -0.3454859137379062, -0.10274217851918327, -0.2555175385418402, 0.17815728338228976, -0.18001064282900797, -0.1520882463619035, 0.4073794820389823, 0.008969755121628651, 0.17603605201331343, 0.03745280648947386, 0.1592586803986296, 0.0627487843384002, 0.02842534552401429, 0.23081344246366964, 0.022280147796526005, 0.20791835164899952, -0.17096479382385446, -0.11830765108153692, 0.00554701389198762, 0.17910006781064794] |
711.3872 | Washboard Road: The dynamics of granular ripples formed by rolling
wheels | Granular surfaces tend to develop lateral ripples under the action of surface
forces exerted by rolling wheels, an effect known as washboard or corrugated
road. We report the results of both laboratory experiments and soft-particle
direct numerical simulations. Above a critical speed, the ripple pattern
appears as small patches of traveling waves which eventually spread to the
entire circumference. The ripples drift slowly in the driving direction.
Interesting secondary dynamics of the saturated ripples were observed, as well
as various ripple creation and destruction events. All of these effects are
captured qualitatively by 2D soft particle simulations in which a disk rolls
over a bed of poly-disperse particles in a periodic box. These simulations show
that compaction and segregation are inessential to the ripple phenomenon. We
also discuss a simplified scaling model which gives some insight into the
mechanism of the instability.
| nlin.PS cond-mat.soft nlin.CD physics.pop-ph | granular surfaces tend to develop lateral ripples under the action of surface forces exerted by rolling wheels an effect known as washboard or corrugated road we report the results of both laboratory experiments and softparticle direct numerical simulations above a critical speed the ripple pattern appears as small patches of traveling waves which eventually spread to the entire circumference the ripples drift slowly in the driving direction interesting secondary dynamics of the saturated ripples were observed as well as various ripple creation and destruction events all of these effects are captured qualitatively by 2d soft particle simulations in which a disk rolls over a bed of polydisperse particles in a periodic box these simulations show that compaction and segregation are inessential to the ripple phenomenon we also discuss a simplified scaling model which gives some insight into the mechanism of the instability | [['granular', 'surfaces', 'tend', 'to', 'develop', 'lateral', 'ripples', 'under', 'the', 'action', 'of', 'surface', 'forces', 'exerted', 'by', 'rolling', 'wheels', 'an', 'effect', 'known', 'as', 'washboard', 'or', 'corrugated', 'road', 'we', 'report', 'the', 'results', 'of', 'both', 'laboratory', 'experiments', 'and', 'softparticle', 'direct', 'numerical', 'simulations', 'above', 'a', 'critical', 'speed', 'the', 'ripple', 'pattern', 'appears', 'as', 'small', 'patches', 'of', 'traveling', 'waves', 'which', 'eventually', 'spread', 'to', 'the', 'entire', 'circumference', 'the', 'ripples', 'drift', 'slowly', 'in', 'the', 'driving', 'direction', 'interesting', 'secondary', 'dynamics', 'of', 'the', 'saturated', 'ripples', 'were', 'observed', 'as', 'well', 'as', 'various', 'ripple', 'creation', 'and', 'destruction', 'events', 'all', 'of', 'these', 'effects', 'are', 'captured', 'qualitatively', 'by', '2d', 'soft', 'particle', 'simulations', 'in', 'which', 'a', 'disk', 'rolls', 'over', 'a', 'bed', 'of', 'polydisperse', 'particles', 'in', 'a', 'periodic', 'box', 'these', 'simulations', 'show', 'that', 'compaction', 'and', 'segregation', 'are', 'inessential', 'to', 'the', 'ripple', 'phenomenon', 'we', 'also', 'discuss', 'a', 'simplified', 'scaling', 'model', 'which', 'gives', 'some', 'insight', 'into', 'the', 'mechanism', 'of', 'the', 'instability']] | [-0.16881320333029604, 0.22792715314723647, -0.09786479209031596, 0.06984221011164113, -0.05592641992409202, -0.09719705309810668, 0.002951724859754699, 0.35886689882830414, -0.2958867156117315, -0.3091504549432192, 0.0883482313037745, -0.2628056068616119, -0.18315501446986546, 0.19942120160714027, -0.0019773856382554683, 0.05709819385493305, 0.05675996845083075, -0.03243096336118982, 0.016026852676205496, -0.19513721077688181, 0.2443499105234801, 0.08699497562758526, 0.2817197716139047, 0.08317732990147139, 0.06728723725881165, -0.030119841721590976, 0.011494354512148969, 0.06455730413997539, -0.1813402993256217, -0.00040789116108396525, 0.1466740761034217, -0.019341088805190275, 0.23142437740478297, -0.5162408658709954, -0.25669970186951924, 0.01888026296190629, 0.17334698598740073, 0.12816578475184556, -0.08452911655054572, -0.2769887997665521, 0.05010541447710482, -0.1324106154661678, -0.17153557352590518, -0.008529307363037525, 0.04802924566689065, 0.06166394489726782, -0.24270868059378906, 0.08163300526150483, 0.10246438351476198, 0.05212555731430282, -0.0906300308063141, -0.04919977073597027, -0.0778493888923754, 0.1111865857596391, 0.09357908408261645, 0.0032486888140597393, 0.22549808680237285, -0.1477256638758724, -0.08697686599023167, 0.408224562543746, -0.054830353430793684, -0.19136084891020724, 0.22483047005608942, -0.17236788864706604, -0.0091381515507442, 0.17939882548148808, 0.20764933977420377, 0.07803869101343493, -0.10814581144745396, -0.035381776654132, -0.06134305654329733, 0.11542592056810488, 0.14098954985646242, -0.035862754418803246, 0.27867351246433675, 0.18805716515184237, 0.040393613557606727, 0.17158196399047393, -0.13832662741876614, -0.11712402310615903, -0.28253669252383035, -0.11686983790484742, -0.08912584943857542, 0.012485642507541138, -0.08666526082553491, -0.22326117231097387, 0.3739110314365949, 0.12783505942370796, 0.20496608749069734, 0.02349524080186007, 0.2749717821872098, 0.039171698478601455, 0.09319096389079047, 0.04548497694301826, 0.23611833234452873, 0.07495345680607142, 0.09594954076324734, -0.20759360692267056, 0.06241533710477008, 0.02470419786109681] |
711.3873 | The Interaction Between Multi-Overlaps in the High Temperature Phase of
the Sherrington-Kirkpatrick Spin Glass | We explore the joint behavior of a finite number of multi-overlaps in the
high temperature phase of the SK model. Extending work by M. Talagrand, we show
that, when these objects are scaled to have non-trivial limiting distributions,
the joint behavior is described by a Gaussian process with an explicit
covariance structure.
| math.PR math-ph math.MP | we explore the joint behavior of a finite number of multioverlaps in the high temperature phase of the sk model extending work by m talagrand we show that when these objects are scaled to have nontrivial limiting distributions the joint behavior is described by a gaussian process with an explicit covariance structure | [['we', 'explore', 'the', 'joint', 'behavior', 'of', 'a', 'finite', 'number', 'of', 'multioverlaps', 'in', 'the', 'high', 'temperature', 'phase', 'of', 'the', 'sk', 'model', 'extending', 'work', 'by', 'm', 'talagrand', 'we', 'show', 'that', 'when', 'these', 'objects', 'are', 'scaled', 'to', 'have', 'nontrivial', 'limiting', 'distributions', 'the', 'joint', 'behavior', 'is', 'described', 'by', 'a', 'gaussian', 'process', 'with', 'an', 'explicit', 'covariance', 'structure']] | [-0.10994568474304217, 0.14566520477288017, -0.11254488341868497, 0.05840414601212055, -0.029832989622194033, -0.0858504378881592, 0.04307749370435396, 0.37583703017578673, -0.24746087541839537, -0.3092989188690598, 0.07505177519096133, -0.2590863003055207, -0.15508034857563102, 0.14811746014031366, -0.06641892723452586, 0.06272216662406348, -0.020581667508500125, 0.008412435892611168, -0.09515418961662082, -0.22436012570799974, 0.3458778633771894, 0.0746542895750071, 0.2733367969138691, -0.022505613133454554, 0.10357094276696444, 0.025172577776874486, -0.025945739028079864, 0.03302234355942346, -0.13936363947379085, 0.0812084611881381, 0.20931486591087797, 0.08465229388541327, 0.23692553844571543, -0.35613498761533546, -0.2618842552989148, 0.12792592624632212, 0.11806428085905142, 0.05882012292456169, -0.006872445344924927, -0.2723466822376045, 0.11753119080542372, -0.1894541109750907, -0.16530171534619653, -0.09070214136646917, -0.0006164823873684957, 0.06366863079333249, -0.2643288646011989, 0.07636771435276248, 0.12602451935303038, 0.0501327247161848, -0.011766642905198611, -0.126986221732715, 0.009416706398881685, 0.1291004325819533, 0.040544828464380074, -0.03329783866110329, 0.08964392123743892, -0.11951396222083041, -0.07843430612522823, 0.2857028618454933, -0.09088421330894701, -0.2004900764172467, 0.1393643089910396, -0.1912115844539725, -0.12579716896960655, 0.13392458498800316, 0.15634778740171057, 0.1129350545637023, -0.15324593216987872, 0.1416062541271598, -0.06841753527903795, 0.12094030343891624, 0.03220593195874244, -0.007653195811704231, 0.17469062161846802, 0.1560203043090251, 0.05211929728438218, 0.19085055897728756, -0.08107757520897743, -0.08566540037281811, -0.29546748055145144, -0.13104066551806262, -0.2515762598038866, 0.0619373173551419, -0.1335534040654938, -0.14794994253092086, 0.3678007966373116, 0.11590774185830154, 0.2938803287061791, 0.10102130771757892, 0.22173091751308396, 0.14948260913101527, -0.01595170127872664, 0.08178979107357848, 0.1706292682972092, 0.12547248851758644, 0.05300434310741436, -0.20808081512446874, 0.06387037509837402, 0.03678165207831906] |
711.3874 | The meandering instability of a viscous thread | A viscous thread falling from a nozzle onto a surface exhibits the famous
rope-coiling effect, in which the thread buckles to form loops. If the surface
is replaced by a belt moving with speed $U$, the rotational symmetry of the
buckling instability is broken and a wealth of interesting states are observed
[See S. Chiu-Webster and J. R. Lister, J. Fluid Mech., {\bf 569}, 89 (2006)].
We experimentally studied this "fluid mechanical sewing machine" in a new, more
precise apparatus. As $U$ is reduced, the steady catenary thread bifurcates
into a meandering state in which the thread displacements are only transverse
to the motion of the belt. We measured the amplitude and frequency $\omega$ of
the meandering close to the bifurcation. For smaller $U$, single-frequency
meandering bifurcates to a two-frequency "figure eight" state, which contains a
significant $2\omega$ component and parallel as well as transverse
displacements. This eventually reverts to single-frequency coiling at still
smaller $U$. More complex, highly hysteretic states with additional frequencies
are observed for larger nozzle heights. We propose to understand this zoology
in terms of the generic amplitude equations appropriate for resonant
interactions between two oscillatory modes with frequencies $\omega$ and
$2\omega$. The form of the amplitude equations captures both the axisymmetry of
the U=0 coiling state and the symmetry-breaking effects induced by the moving
belt.
| physics.flu-dyn math.DS nlin.PS physics.class-ph | a viscous thread falling from a nozzle onto a surface exhibits the famous ropecoiling effect in which the thread buckles to form loops if the surface is replaced by a belt moving with speed u the rotational symmetry of the buckling instability is broken and a wealth of interesting states are observed see s chiuwebster and j r lister j fluid mech bf 569 89 2006 we experimentally studied this fluid mechanical sewing machine in a new more precise apparatus as u is reduced the steady catenary thread bifurcates into a meandering state in which the thread displacements are only transverse to the motion of the belt we measured the amplitude and frequency omega of the meandering close to the bifurcation for smaller u singlefrequency meandering bifurcates to a twofrequency figure eight state which contains a significant 2omega component and parallel as well as transverse displacements this eventually reverts to singlefrequency coiling at still smaller u more complex highly hysteretic states with additional frequencies are observed for larger nozzle heights we propose to understand this zoology in terms of the generic amplitude equations appropriate for resonant interactions between two oscillatory modes with frequencies omega and 2omega the form of the amplitude equations captures both the axisymmetry of the u0 coiling state and the symmetrybreaking effects induced by the moving belt | [['a', 'viscous', 'thread', 'falling', 'from', 'a', 'nozzle', 'onto', 'a', 'surface', 'exhibits', 'the', 'famous', 'ropecoiling', 'effect', 'in', 'which', 'the', 'thread', 'buckles', 'to', 'form', 'loops', 'if', 'the', 'surface', 'is', 'replaced', 'by', 'a', 'belt', 'moving', 'with', 'speed', 'u', 'the', 'rotational', 'symmetry', 'of', 'the', 'buckling', 'instability', 'is', 'broken', 'and', 'a', 'wealth', 'of', 'interesting', 'states', 'are', 'observed', 'see', 's', 'chiuwebster', 'and', 'j', 'r', 'lister', 'j', 'fluid', 'mech', 'bf', 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711.3875 | An Overview of Hopf Algebras of Trees and Their Actions on Functions | We provide an expository account of some of the Hopf algebras that can be
defined using trees, labeled trees, ordered trees and heap ordered trees. We
also describe some actions of these Hopf algebras on algebra of functions.
| math.RA math.CO | we provide an expository account of some of the hopf algebras that can be defined using trees labeled trees ordered trees and heap ordered trees we also describe some actions of these hopf algebras on algebra of functions | [['we', 'provide', 'an', 'expository', 'account', 'of', 'some', 'of', 'the', 'hopf', 'algebras', 'that', 'can', 'be', 'defined', 'using', 'trees', 'labeled', 'trees', 'ordered', 'trees', 'and', 'heap', 'ordered', 'trees', 'we', 'also', 'describe', 'some', 'actions', 'of', 'these', 'hopf', 'algebras', 'on', 'algebra', 'of', 'functions']] | [-0.18298157980959667, 0.1972890021191377, -0.09209388945447772, 0.15941726803583534, -0.1993640315669932, -0.08667825311912518, 0.05474065952493172, 0.42651853788840144, -0.39467104485160426, -0.2029861407354474, 0.1613057936598412, -0.23028389491925114, -0.19362844477750754, 0.16454671389472328, -0.15481049175325193, -0.08581904008200295, 0.1196802562886947, 0.09734634433238841, -0.06466529498146356, -0.3441002011593235, 0.4367822580235569, -0.012913664913197098, 0.1476042426534389, 0.012498780447793635, 0.14463855233043432, 0.05380194316814212, -0.05665899373247827, 0.11505999401407807, -0.24110229893707774, 0.06909456006006191, 0.35753605050941634, 0.15658026172681466, 0.14095621948179446, -0.4122907313469209, -0.03803818092044247, 0.1680838446083822, 0.1992856531011823, 0.0980324656947663, 0.0002543873882754461, -0.29758780971659643, 0.07398582078320415, -0.25457983865941824, -0.021020566088784682, -0.1475098814423147, 0.03891020759597028, 0.06616529087094884, -0.20220677802143128, -0.047700851157730394, 0.15735527743144254, 0.15722714893912015, -0.10091992165574706, -0.1510994868402026, -0.1460734304579857, 0.12214022742486313, -0.10992155219183157, -0.007292881951128182, 0.11067309934572366, -0.039666251671549524, -0.2921246251483497, 0.26984652158755223, 0.08986321152923138, -0.22774684929141872, 0.1429531635091591, -0.14236436100480587, -0.24957640165168987, 0.07797411728748366, 0.13896382639282628, 0.15196110637809493, -0.0629416293660669, 0.1274227439410568, -0.1556112543238621, 0.009103026339098028, 0.13290568844929926, -0.009829848306253552, 0.1813027595512961, 0.17014313111767956, 0.024482416699787502, 0.2185156844574713, 0.10818112289263426, -0.009664027510504974, -0.2923976484882204, -0.11817360532126929, -0.045163956023507604, 0.030730932093176403, -0.1904354978618549, -0.30606298383913544, 0.3875199481844902, 0.20728136298834884, 0.2062289993719835, 0.16591593422191708, 0.1858441414752681, 0.06304198192236454, 0.10286634974181652, 0.020305705011675234, 0.021248772625480535, 0.26714811054989696, -0.013768558500726757, -0.029083158036595898, 0.03678067062834376, 0.2231255420238564] |
711.3876 | Dihedral-angle Gaussian distribution driving protein folding | The proposal of this paper is to provide a simple angular random walk model
to build up polypeptide structures, which encompass properties of dihedral
angles of folded proteins. From this model, structures will be built with
lengths ranging from 125 up to 400 amino acids for the different fractions of
secondary structure motifs, which dihedral angles were randomly chosen
according to narrow Gaussian probability distributions. In order to measure the
fractal dimension of proteins three different cases were analyzed. The first
contained alpha-helix structures only, the second beta-strands structures and
the third a mix of alpha-helices and beta-sheets. The behavior of proteins with
alpha-helix motifs are more compacted than in other situations. The findings
herein indicate that this model describes some structural properties of a
protein and suggest that randomness is an essential ingredient but proteins are
driven by narrow angular Gaussian probability distributions and not by
random-walk processes.
| physics.bio-ph | the proposal of this paper is to provide a simple angular random walk model to build up polypeptide structures which encompass properties of dihedral angles of folded proteins from this model structures will be built with lengths ranging from 125 up to 400 amino acids for the different fractions of secondary structure motifs which dihedral angles were randomly chosen according to narrow gaussian probability distributions in order to measure the fractal dimension of proteins three different cases were analyzed the first contained alphahelix structures only the second betastrands structures and the third a mix of alphahelices and betasheets the behavior of proteins with alphahelix motifs are more compacted than in other situations the findings herein indicate that this model describes some structural properties of a protein and suggest that randomness is an essential ingredient but proteins are driven by narrow angular gaussian probability distributions and not by randomwalk processes | [['the', 'proposal', 'of', 'this', 'paper', 'is', 'to', 'provide', 'a', 'simple', 'angular', 'random', 'walk', 'model', 'to', 'build', 'up', 'polypeptide', 'structures', 'which', 'encompass', 'properties', 'of', 'dihedral', 'angles', 'of', 'folded', 'proteins', 'from', 'this', 'model', 'structures', 'will', 'be', 'built', 'with', 'lengths', 'ranging', 'from', '125', 'up', 'to', '400', 'amino', 'acids', 'for', 'the', 'different', 'fractions', 'of', 'secondary', 'structure', 'motifs', 'which', 'dihedral', 'angles', 'were', 'randomly', 'chosen', 'according', 'to', 'narrow', 'gaussian', 'probability', 'distributions', 'in', 'order', 'to', 'measure', 'the', 'fractal', 'dimension', 'of', 'proteins', 'three', 'different', 'cases', 'were', 'analyzed', 'the', 'first', 'contained', 'alphahelix', 'structures', 'only', 'the', 'second', 'betastrands', 'structures', 'and', 'the', 'third', 'a', 'mix', 'of', 'alphahelices', 'and', 'betasheets', 'the', 'behavior', 'of', 'proteins', 'with', 'alphahelix', 'motifs', 'are', 'more', 'compacted', 'than', 'in', 'other', 'situations', 'the', 'findings', 'herein', 'indicate', 'that', 'this', 'model', 'describes', 'some', 'structural', 'properties', 'of', 'a', 'protein', 'and', 'suggest', 'that', 'randomness', 'is', 'an', 'essential', 'ingredient', 'but', 'proteins', 'are', 'driven', 'by', 'narrow', 'angular', 'gaussian', 'probability', 'distributions', 'and', 'not', 'by', 'randomwalk', 'processes']] | [-0.09496228362593, 0.20378631813658304, -0.06682419974119372, 0.06543258438433752, -0.03614910280694498, -0.14987445281093453, 0.03106483136500613, 0.4172375337408243, -0.2919633345172159, -0.28477396584903486, 0.014283914851874814, -0.26985305838049356, -0.17638725984916592, 0.1322712933241496, -0.008072056396608084, 0.008497261320359556, 0.04699015733629665, 0.024993562410099607, -0.003396303843372445, -0.20500575258371564, 0.27746384413975395, 0.06295558790701297, 0.24778278356405511, -0.0019431098054894466, 0.06528528295957402, -0.0493939542914772, -0.0015042265369275573, -0.016287336472444642, -0.16676664030878263, 0.1586303410820363, 0.233283951959804, 0.048840061656743185, 0.2028790335061541, -0.4013612230352107, -0.23758565883024052, 0.07390977635873394, 0.146276771812856, 0.11652271812797317, 0.009319866903813012, -0.2753881558325867, 0.1401778575725972, -0.12493817570100495, -0.14562378836258147, -0.05567889723257981, 0.007545378021645866, 0.09718093612807921, -0.2066072764694722, 0.09230030587430568, 0.06051400261337325, 0.0662967897451564, -0.03905968699172989, -0.15337473957255582, -0.05996984128071458, 0.16361287392710255, 0.0507262053238478, -0.008075397861683929, 0.1874854025890388, -0.07221398485943908, -0.1333901275718122, 0.39894250232488815, 0.02359456456476907, -0.20768271650393938, 0.18264438842279498, -0.1418199818307884, -0.1743700990653378, 0.200019772336412, 0.1501707813738464, 0.10783146639298273, -0.18903185849135817, 0.004243800165006678, -0.018406701563301202, 0.21414832463300468, 0.11822920802030587, 0.01259925690535831, 0.20757401192985825, 0.14621557370172, 0.019676434141021198, 0.15045803324624132, -0.08929259355036204, -0.13321656261839523, -0.22823332396614046, -0.13055587931217363, -0.1433602749876328, 0.033450321627303416, -0.10786222891792993, -0.18747468798065045, 0.40264634952736683, 0.06886258345384826, 0.2544675776586499, 0.07555874726491286, 0.20259170749790392, -0.0328575944576425, 0.09116027474906546, 0.011761780243816992, 0.14255985204265578, 0.13014060850317696, 0.041080699685879754, -0.1364186618669699, 0.12160165306968276, 0.030535100909237493] |
711.3877 | Hopf-algebraic structures of families of trees | Description of cocommutative Hopf algebras associated with families of trees.
Applications include Cayley's theorem on the number of rooted trees with n
nodes, and Catalan's theorem on the number of rooted ordered trees with n
nodes.
| math.RA math.CO | description of cocommutative hopf algebras associated with families of trees applications include cayleys theorem on the number of rooted trees with n nodes and catalans theorem on the number of rooted ordered trees with n nodes | [['description', 'of', 'cocommutative', 'hopf', 'algebras', 'associated', 'with', 'families', 'of', 'trees', 'applications', 'include', 'cayleys', 'theorem', 'on', 'the', 'number', 'of', 'rooted', 'trees', 'with', 'n', 'nodes', 'and', 'catalans', 'theorem', 'on', 'the', 'number', 'of', 'rooted', 'ordered', 'trees', 'with', 'n', 'nodes']] | [-0.2810348126416405, 0.19610011277513373, 0.027989808987412188, 0.038350783909360565, -0.13226413716458613, -0.1299069607630372, 0.1180771165010002, 0.2713968687587314, -0.298863724197468, -0.30076715495023465, 0.062322478017045393, -0.32868073433120215, -0.15905978966556075, 0.19435225111535853, -0.10973321004874176, -0.06317161246099406, 0.1492875065240595, 0.19554059647230637, 0.031071903174355004, -0.3106530610885885, 0.40323676520751583, -0.03175781551463944, 0.19083992505653036, -0.012006753357127309, 0.10955101282646258, 0.13552334560598764, -0.07164385097308291, 0.06472089157129328, -0.1647635086749991, 0.07939362318979369, 0.3455491750501096, 0.0990004501460741, 0.15239202251864803, -0.3847404916046394, -0.08800996516624258, 0.21157585881236526, 0.12080211621812648, 0.061449942799905934, 0.0476412401573422, -0.24055474937065607, 0.07398514082241389, -0.18275260428587595, -0.1443199751019064, -0.02932110436571141, 0.07138092815876007, 0.07561628805059525, -0.2024460214888677, 0.02062966018113204, 0.14512081334315655, 0.13815043763154083, 0.05148367741559115, -0.19129260074502477, -0.14681469235155317, 0.045457829307350844, -0.07185521344136861, 0.011701329067970315, 0.03870323235686454, -0.06013827442398502, -0.28610516463716823, 0.27313411473813987, 0.08542638352244264, -0.17367559630009863, 0.1623109310587299, -0.10908264322723779, -0.2559294662852254, 0.10425977605498499, 0.13401141545424858, 0.15655028323332468, 0.02298606634657416, 0.1914478645954255, -0.15193373668524954, 0.021188253329859838, 0.2216913215816021, 0.008468366021083461, 0.1644289642572403, 0.12460375033939879, 0.08056536792880958, 0.1675686663430598, 0.06971622093988117, -0.06542547393797173, -0.2706736835340659, -0.09865932373536958, -0.14751925924792886, 0.08952146251168516, -0.2662656079430437, -0.3442870249143905, 0.3290906138718128, 0.09799411287531257, 0.20784756686124536, 0.22610144715549219, 0.1654211239785784, 0.010096091518385543, 0.09746683200096919, 0.08999129361473024, -0.03919650303820769, 0.40295011539840037, -0.022206067443928786, -0.047971487931338035, 0.01364034215576895, 0.30078689236607814] |
711.3878 | Local discriminants, kummerian extensions, and elliptic curves | Some thoughts on the congruence D=0,1(mod 4) for the absolute discriminant D
of a number field
| math.NT math.AC | some thoughts on the congruence d01mod 4 for the absolute discriminant d of a number field | [['some', 'thoughts', 'on', 'the', 'congruence', 'd01mod', '4', 'for', 'the', 'absolute', 'discriminant', 'd', 'of', 'a', 'number', 'field']] | [-0.24225873996814093, 0.08010682935516039, -0.10545000607768694, 0.07419983682533106, -0.11954566724598407, -0.13883031802251936, 0.05467024880150954, 0.26748729720711706, -0.25901441431293887, -0.3232989524801572, 0.1256278286377589, -0.31034679114818575, -0.07330757242937883, 0.22804752375620108, -0.03273647483438254, 0.022024208307266237, -0.0017528736342986425, 0.30629383474588395, -0.05075318242112795, -0.35187678275009, 0.3601413403948148, -0.04788127007583777, 0.19507094037253409, 0.014152797684073449, 0.05375231939057509, 0.0485502814874053, -0.04259553843488296, 0.016985833272337915, -0.10618869283547004, 0.16957479119300842, 0.1753079151113828, 0.1728031591512263, 0.32015653053919474, -0.3212747802337011, -0.11431195034335057, 0.12677045147866012, 0.10496526298423609, 0.014781635937591393, 0.0007298313934976856, -0.22408165062467258, 0.07510583171000083, -0.07588495233406624, -0.18102054397265116, -0.06849289316063126, 0.13814238293562084, 0.025693180287877718, -0.233261085798343, -0.01629317949215571, 0.11265763429303964, 0.3002889429529508, -0.05202269045015176, -0.2622987975676854, 0.08212300812204679, 0.021762383077293633, 0.0796749030550321, 0.07942057233303786, 0.07031565370659033, -0.17995810012022653, -0.06269775492449602, 0.3296454450736443, -0.035427594433228175, -0.21004690354069075, 0.11865773517638445, -0.1647105312595765, -0.15600302293896676, 0.12218241554995378, 0.18361688094834486, 0.09460622780025005, -0.0015433608243862788, 0.11675352255503336, -0.09421906097171208, 0.16769749410450457, 0.13203330729156731, -0.022696458051602045, 0.16059112921357155, 0.08717837184667587, -0.0010128596176703772, 0.00866004421065251, -0.08419341958748798, 0.07678624838590623, -0.41237545311450957, -0.2363524088015159, -0.14348403190573056, 0.11507262090841928, -0.20973424005011718, -0.10995702395836512, 0.43871301747858527, 0.09596679631310205, 0.19738169834017755, 0.1249359656125307, 0.19349999606298904, -0.03664900679141283, 0.05443403931955496, 0.0666887516155839, 0.17698998660198412, 0.20715969962378342, 0.008667244917402665, -0.21232169196009637, -0.02587528045599659, 0.11694471264878908] |
711.3879 | Wilson's theorem | We show that there are four possibilities for the product of all elements in
the multiplicative group of a quotient of the ring of integers in a number
field, and give precise conditions for each of the possibilities to occur. This
generalisation of Wilson's theorem turns out to have been first discovered by
M. La\v{s}\v{s}\'ak (2000), but our proof is simpler and more direct.
| math.NT math.HO | we show that there are four possibilities for the product of all elements in the multiplicative group of a quotient of the ring of integers in a number field and give precise conditions for each of the possibilities to occur this generalisation of wilsons theorem turns out to have been first discovered by m lavsvsak 2000 but our proof is simpler and more direct | [['we', 'show', 'that', 'there', 'are', 'four', 'possibilities', 'for', 'the', 'product', 'of', 'all', 'elements', 'in', 'the', 'multiplicative', 'group', 'of', 'a', 'quotient', 'of', 'the', 'ring', 'of', 'integers', 'in', 'a', 'number', 'field', 'and', 'give', 'precise', 'conditions', 'for', 'each', 'of', 'the', 'possibilities', 'to', 'occur', 'this', 'generalisation', 'of', 'wilsons', 'theorem', 'turns', 'out', 'to', 'have', 'been', 'first', 'discovered', 'by', 'm', 'lavsvsak', '2000', 'but', 'our', 'proof', 'is', 'simpler', 'and', 'more', 'direct']] | [-0.16544328287192103, 0.09457599444847022, -0.11143990623809043, 0.01295831919248615, -0.06665853247238648, -0.12006647708190102, 0.04694767166224737, 0.331853260773988, -0.25461745394452934, -0.28070409851710476, 0.09601683480413778, -0.21087265635530153, -0.1417934578355579, 0.2640228821666882, -0.051372261126599615, -0.026380550367609848, 0.04088903536340074, 0.08009569914568038, -0.0729747094945716, -0.30821432049075764, 0.34643168927776435, -0.005513445784648259, 0.18850033026602533, 0.05786829008646901, 0.08332524739117139, -0.013441643736783474, -0.07531278480273036, 0.031662688590586185, -0.13260063263349742, 0.09035915684043652, 0.24848579405021617, 0.10839416163914378, 0.28258787128808244, -0.3924968927093441, -0.16134483786299825, 0.12909613458055352, 0.11403945094299694, 0.08028031609183739, -0.05674568784449967, -0.2474651439706721, 0.14162516079488255, -0.18455620819614046, -0.14653114401661452, -0.086765397236579, 0.09485326245582353, 0.003683643592965035, -0.2654075598018983, 0.012560321417238032, 0.10770608036084071, 0.07358058654363193, 0.016359740073630023, -0.14842367723643307, 0.005017390271412238, 0.1201145737062371, 0.03751398533922694, -0.017208073288202286, 0.047726088462190494, -0.07294902484494424, -0.11566826821644864, 0.39060523290009724, -0.03406672587706929, -0.15628160242109546, 0.18057461067043717, -0.152469097141413, -0.16091492218482825, 0.14148495375873552, 0.052809945381586516, 0.14775813134416702, -0.11002557068353608, 0.10836137109620882, -0.12901649417148697, 0.10507581877477822, 0.10583624985098603, 0.03797998104155773, 0.17735160192445157, 0.11796434058083428, 0.08906126715333408, 0.13829770731547522, -0.013532939455693676, -0.05654398370386353, -0.3115337144524332, -0.2148576249915456, -0.1264941782620366, 0.10082835170425593, -0.071502363942157, -0.13829116328131585, 0.3962542335724547, 0.13053228316592083, 0.19554272276305018, 0.05236551640111776, 0.2288786723381943, 0.08976657795978503, 0.09909096635907652, 0.043782246099518876, 0.2133916530403353, 0.17262067662418953, 0.011668850405378238, -0.11716551606410316, -0.01530960010039428, 0.11280231727730661] |
711.388 | Systematic Analysis of B --> K pi l^+ l^- Decay through Angular
Decomposition | We investigate systematically how to extract new physics contributions in B
--> K pi l^+ l^- decay by using the angular decomposition. The decomposition
will enable us to define not only several CP averaged forward-backward (FB)
asymmetries but also the direct CP asymmetry and the time-dependent mixing
induced CP asymmetry for each FB asymmetry newly defined in the general 4 body
angular space. The decay process involves several intermediate vector and
scalar resonances as sources of strong phase difference through interference,
therefore, one can expect largely enhanced CP asymmetries, if there exists any
new physics with weak CP phases. The combined analysis of the FB and CP
asymmetries will give us fruitful information about new physics contributions
in detail.
| hep-ph | we investigate systematically how to extract new physics contributions in b k pi l l decay by using the angular decomposition the decomposition will enable us to define not only several cp averaged forwardbackward fb asymmetries but also the direct cp asymmetry and the timedependent mixing induced cp asymmetry for each fb asymmetry newly defined in the general 4 body angular space the decay process involves several intermediate vector and scalar resonances as sources of strong phase difference through interference therefore one can expect largely enhanced cp asymmetries if there exists any new physics with weak cp phases the combined analysis of the fb and cp asymmetries will give us fruitful information about new physics contributions in detail | [['we', 'investigate', 'systematically', 'how', 'to', 'extract', 'new', 'physics', 'contributions', 'in', 'b', 'k', 'pi', 'l', 'l', 'decay', 'by', 'using', 'the', 'angular', 'decomposition', 'the', 'decomposition', 'will', 'enable', 'us', 'to', 'define', 'not', 'only', 'several', 'cp', 'averaged', 'forwardbackward', 'fb', 'asymmetries', 'but', 'also', 'the', 'direct', 'cp', 'asymmetry', 'and', 'the', 'timedependent', 'mixing', 'induced', 'cp', 'asymmetry', 'for', 'each', 'fb', 'asymmetry', 'newly', 'defined', 'in', 'the', 'general', '4', 'body', 'angular', 'space', 'the', 'decay', 'process', 'involves', 'several', 'intermediate', 'vector', 'and', 'scalar', 'resonances', 'as', 'sources', 'of', 'strong', 'phase', 'difference', 'through', 'interference', 'therefore', 'one', 'can', 'expect', 'largely', 'enhanced', 'cp', 'asymmetries', 'if', 'there', 'exists', 'any', 'new', 'physics', 'with', 'weak', 'cp', 'phases', 'the', 'combined', 'analysis', 'of', 'the', 'fb', 'and', 'cp', 'asymmetries', 'will', 'give', 'us', 'fruitful', 'information', 'about', 'new', 'physics', 'contributions', 'in', 'detail']] | [-0.14646837715714603, 0.18435465920937516, -0.09154301929145546, 0.13436419386828874, -0.12807123806580142, -0.175671725636506, 0.09372594396157538, 0.29245373035260175, -0.3344149892849816, -0.274649334826775, 0.042053564752538894, -0.25196963049850224, -0.06628311198536244, 0.12777299121598382, 0.07575769615912084, -0.00860006751303198, 0.04004571306266648, -0.04571070228861171, -0.10955006848641877, -0.1517367658217169, 0.2792474021819436, -0.016988754645384595, 0.21907453837911045, 0.09535944387237778, 0.023697251931495838, 0.018275083389954042, -0.11657740297269518, -0.01045849252816771, -0.14713189597399431, 0.06294527007819359, 0.2213756583563952, 0.13084027479290253, 0.12525074357971927, -0.34953658196727855, -0.11013184404158491, 0.186918812271176, 0.19471482867651255, 0.08020530030983737, -0.07300330241510676, -0.31159414875052743, 0.06185438704550645, -0.14119815481116332, -0.0845911117720465, -0.13094536506697158, 0.0740886803684851, -0.08087193551552245, -0.3259925983640981, 0.10579928351438928, -0.007559830259721158, 0.023869152040757492, 0.06649979173355752, -0.20389967138575138, -0.01548035638564724, 0.0918672645456647, 0.0841462280898714, 0.03474733201782929, 0.12732235345914486, -0.07224227897665006, -0.15443413591868702, 0.36446141022241724, -0.09455218048908322, -0.21676309131306865, 0.13341613087834694, -0.2338175259204236, -0.15960641277922413, 0.1623671110561591, 0.1873528559581708, 0.06026467022247281, -0.1860835466739106, 0.09028270440343847, -0.021838658007840486, 0.162975301013044, 0.0670527036585924, 0.08522782456258043, 0.23792799104447082, 0.11108686906182981, 0.08812794642586072, 0.07112823825495286, -0.1254182648549046, -0.0708381823398236, -0.36035959528151396, -0.13762337638665054, -0.049330481343855294, 0.06183939484074826, -0.05309905711464264, -0.049662974595498705, 0.40367534315466125, 0.10966707969782874, 0.2109779095064091, -0.04854325132081443, 0.2892489647976186, 0.08482866707332906, 0.07775962466652253, 0.03099320482036446, 0.2914717379223429, 0.20393653584336388, 0.1895450686294017, -0.2635669680243216, 0.06769559962548695, 0.0007254676064634222] |
711.3881 | Multipartite Dark Matter | Dark matter (comprising a quarter of the Universe) is usually assumed to be
due to one and only one weakly interacting particle which is neutral and
absolutely stable. We consider the possibility that there are several
coexisting dark-matter particles, and explore in some detail the generic case
where there are two. We discuss how the second dark-matter particle may relax
the severe constraints on the parameter space of the Minimal Supersymmetric
Standard Model, as well as other verifiable predictions in both direct and
indirect search experiments.
| hep-ph astro-ph | dark matter comprising a quarter of the universe is usually assumed to be due to one and only one weakly interacting particle which is neutral and absolutely stable we consider the possibility that there are several coexisting darkmatter particles and explore in some detail the generic case where there are two we discuss how the second darkmatter particle may relax the severe constraints on the parameter space of the minimal supersymmetric standard model as well as other verifiable predictions in both direct and indirect search experiments | [['dark', 'matter', 'comprising', 'a', 'quarter', 'of', 'the', 'universe', 'is', 'usually', 'assumed', 'to', 'be', 'due', 'to', 'one', 'and', 'only', 'one', 'weakly', 'interacting', 'particle', 'which', 'is', 'neutral', 'and', 'absolutely', 'stable', 'we', 'consider', 'the', 'possibility', 'that', 'there', 'are', 'several', 'coexisting', 'darkmatter', 'particles', 'and', 'explore', 'in', 'some', 'detail', 'the', 'generic', 'case', 'where', 'there', 'are', 'two', 'we', 'discuss', 'how', 'the', 'second', 'darkmatter', 'particle', 'may', 'relax', 'the', 'severe', 'constraints', 'on', 'the', 'parameter', 'space', 'of', 'the', 'minimal', 'supersymmetric', 'standard', 'model', 'as', 'well', 'as', 'other', 'verifiable', 'predictions', 'in', 'both', 'direct', 'and', 'indirect', 'search', 'experiments']] | [-0.11184185016142248, 0.20586729010697022, -0.04228150751441717, 0.13238956648477374, -0.0858040228648501, -0.1807846739227602, -0.010755795584774987, 0.3258372657271752, -0.2422883177046166, -0.3135945290586976, 0.13034066813456457, -0.28525268113197283, -0.08395902018690872, 0.16711495163428142, 0.023794946693923583, 0.01826181711065908, 0.010449845044667897, 0.06358397277721832, -0.017832708585639158, -0.24789321035428277, 0.32918017252001824, 0.0037207970081633607, 0.19440975053192572, 0.04201751219130359, 0.07403332655058177, -0.015235819815939595, -0.05012557485823108, 0.004025085206173339, -0.1475773248311334, 0.07564113190029423, 0.18737888142336592, 0.0965791025881244, 0.2152709856786397, -0.45209263319279563, -0.20516406716562288, 0.2285117480124152, 0.14925150326344855, 0.0959799004391074, -0.09894543684488379, -0.2772017185397576, 0.06929301924267134, -0.18096287764045735, -0.10674742495013011, -0.06832337055658531, -0.02369463187100929, -0.008618941736342601, -0.23056785185106618, 0.09621497809204685, 0.013348277453820459, -0.06873534670299959, -0.045535694333984585, -0.08925381788799842, -0.03203939244984974, 0.0364166711467903, 0.1002699087216887, -0.026983876964402232, 0.1793074631836092, -0.16437596823955172, -0.1021653009946783, 0.4626438004062186, -0.08465180878505804, -0.2229437855841202, 0.279040218975265, -0.14641722062126147, -0.1491961764539917, 0.07906117999850404, 0.1285717628008231, 0.09679482912449816, -0.14248698276229377, 0.12073331478669114, -0.07761534789663761, 0.16242045459749047, 0.032765341205197536, 0.04788631160857242, 0.2827204414318467, 0.18378226239190892, 0.09172850660438281, 0.09402606427211986, -0.06758239389083154, -0.15611394845100857, -0.3371064466705849, -0.16579095737705396, -0.140771203836816, -0.033266830929490024, -0.05118954806286723, -0.13764130093460514, 0.38428732747926786, 0.1406503736087511, 0.23544801427809478, 0.006915785728271531, 0.3075244735796438, 0.07127441394110319, -0.0054468877267005835, 0.011258722678216737, 0.30055966223475017, 0.0772935742144148, 0.03277667791062836, -0.15505274511680148, 0.017012775028232743, -0.012590181667271048] |
711.3882 | Entanglement in an SU(n) Valence-Bond-Solid State | We investigate entanglement properties in the ground state of the
open/periodic SU($n$) generalized valence-bond-solid state consisting of
representations of SU($n$). We obtain exact expression for the reduced density
matrix of a block of contiguous spins and explicitly evaluate the von Neumann
and the R\'enyi entropies. We discover that the R\'enyi entropy is independent
of the parameter $\alpha$ in the limit of large block sizes and its value $2
\log n$ coincides with that of von Neumann entropy. We also find the direct
relation between the reduced density matrix of the subsystem and edge states
for the corresponding open boundary system.
| quant-ph cond-mat.stat-mech math-ph math.MP | we investigate entanglement properties in the ground state of the openperiodic sun generalized valencebondsolid state consisting of representations of sun we obtain exact expression for the reduced density matrix of a block of contiguous spins and explicitly evaluate the von neumann and the renyi entropies we discover that the renyi entropy is independent of the parameter alpha in the limit of large block sizes and its value 2 log n coincides with that of von neumann entropy we also find the direct relation between the reduced density matrix of the subsystem and edge states for the corresponding open boundary system | [['we', 'investigate', 'entanglement', 'properties', 'in', 'the', 'ground', 'state', 'of', 'the', 'openperiodic', 'sun', 'generalized', 'valencebondsolid', 'state', 'consisting', 'of', 'representations', 'of', 'sun', 'we', 'obtain', 'exact', 'expression', 'for', 'the', 'reduced', 'density', 'matrix', 'of', 'a', 'block', 'of', 'contiguous', 'spins', 'and', 'explicitly', 'evaluate', 'the', 'von', 'neumann', 'and', 'the', 'renyi', 'entropies', 'we', 'discover', 'that', 'the', 'renyi', 'entropy', 'is', 'independent', 'of', 'the', 'parameter', 'alpha', 'in', 'the', 'limit', 'of', 'large', 'block', 'sizes', 'and', 'its', 'value', '2', 'log', 'n', 'coincides', 'with', 'that', 'of', 'von', 'neumann', 'entropy', 'we', 'also', 'find', 'the', 'direct', 'relation', 'between', 'the', 'reduced', 'density', 'matrix', 'of', 'the', 'subsystem', 'and', 'edge', 'states', 'for', 'the', 'corresponding', 'open', 'boundary', 'system']] | [-0.12818921137262473, 0.1693640994131471, -0.058769581133012914, 0.039532854641561935, 0.05399242133805246, -0.12410617472058294, 0.05629501056227118, 0.2710642843563674, -0.2596626215416825, -0.23937731289841008, 0.11813861916001622, -0.33669320906916955, -0.07746890351185669, 0.12485290960305268, -0.021877360857101253, 0.10120704395618911, 0.05784970869996933, 0.13324418209370864, -0.15571778271855277, -0.20292573839877592, 0.3471530493902398, 0.007084605654447593, 0.2829089642577626, 0.04545329554439193, 0.08421379577773011, 0.022476786953359466, 0.009678733488074456, 0.034177836327051576, -0.19818033103556537, 0.14670627212888007, 0.2226731681613007, 0.13656443143267868, 0.20148360471222362, -0.40910352079781015, -0.1584902766790956, 0.10266865070702301, 0.09206479962802294, 0.08741627917672047, 0.05152626036939145, -0.2787434622043311, 0.056194167880510744, -0.24911308128414958, -0.13577710046677502, -0.03727413816941959, 0.07179573925230841, -0.034761640600709603, -0.27331625071890425, 0.17338566295538013, 0.04067038397088346, 0.027001160413327844, -0.0819104506617713, -0.11556722894851872, -0.05173496843663731, 0.16859589668103692, 0.0021443338147505665, -0.04265950070317797, 0.1110541211779822, -0.1327703003412215, -0.07103555574319373, 0.2725119249744698, -0.06629419450723388, -0.1830161176621914, 0.15042970801769484, -0.17062311622342377, -0.11038156817996442, 0.048952178375776666, 0.09730375778268684, 0.1058063485913656, -0.07510582528857872, 0.143308950576348, -0.07203495842192999, 0.18996633315280156, 0.04117578231362683, 0.06736418201277654, 0.1574661446772892, 0.05834685239677477, 0.10597692350057339, 0.24007340667374205, -0.08530689702802008, -0.12640782005407594, -0.3063923223226359, -0.24829167462391497, -0.2601855470860057, 0.057664031393336826, -0.16031958215259665, -0.19285608130046214, 0.38451014030160324, 0.12876618999254072, 0.21900067811436724, 0.07010183465017965, 0.1854183581949334, 0.15883474411311174, 0.01627150945591204, 0.11837658991054115, 0.1753946499842586, 0.20629585247881937, 0.016483098165028624, -0.3191884937602086, 0.014520098309437133, 0.14848628920982732] |
711.3883 | Positivit\'e des exposants de Lyapounov pour un op\'erateur de
Schr\"odinger continu \`a valeurs matricielles | In this note, we study a continuous matrix-valued Anderson-type model. Both
leading Lyapounov exponents of this model are proved to be positive and
distincts for all energies in $(2,+\infty)$ except those in a discrete set,
which leads to absence of absolutely continuous spectrum in $(2,+\infty)$. The
methods, using group theory results by Breuillard and Gelander, allow for
singular Bernoulli distributions.
| math-ph math.MP | in this note we study a continuous matrixvalued andersontype model both leading lyapounov exponents of this model are proved to be positive and distincts for all energies in 2infty except those in a discrete set which leads to absence of absolutely continuous spectrum in 2infty the methods using group theory results by breuillard and gelander allow for singular bernoulli distributions | [['in', 'this', 'note', 'we', 'study', 'a', 'continuous', 'matrixvalued', 'andersontype', 'model', 'both', 'leading', 'lyapounov', 'exponents', 'of', 'this', 'model', 'are', 'proved', 'to', 'be', 'positive', 'and', 'distincts', 'for', 'all', 'energies', 'in', '2infty', 'except', 'those', 'in', 'a', 'discrete', 'set', 'which', 'leads', 'to', 'absence', 'of', 'absolutely', 'continuous', 'spectrum', 'in', '2infty', 'the', 'methods', 'using', 'group', 'theory', 'results', 'by', 'breuillard', 'and', 'gelander', 'allow', 'for', 'singular', 'bernoulli', 'distributions']] | [-0.08361670772234599, 0.10358040465507656, -0.11381446747109294, 0.06815788085805252, -0.012543979465651016, -0.1488630671519786, 0.01117253325258692, 0.3689639743669735, -0.24929474263529602, -0.20271504216749842, 0.09288969708917041, -0.28050128848602374, -0.1550102572888136, 0.2076221704715863, -0.07922226289908091, 0.10450737084417293, 0.00632955067170163, 0.02964996050965662, -0.05147837325930595, -0.20830339156091213, 0.33613219612743706, -0.03231407400841514, 0.21310078703487914, 0.04400300836811463, 0.03347476406488568, 0.010193865257315337, -0.04406141780006389, -0.01896540727466345, -0.14746750462024164, 0.09994238658497731, 0.28895899691075705, 0.022520519987059135, 0.26778077650815246, -0.3491992640619477, -0.20735995227005333, 0.22139826901257037, 0.08951848826836795, 0.057235968553383525, -0.022594289962823193, -0.2987392351807406, 0.12662620165889774, -0.17668097095253568, -0.1749211691475163, -0.11598187189859649, 0.0186956820388635, 0.05416635311751937, -0.3347038523914913, 0.11973465040015678, 0.09648309477294485, 0.0487980635293449, -0.1253871547911937, -0.10420899893312405, -0.007234251697082072, 0.09372887416587522, 0.02555413848021999, 0.025411666264214244, 0.01539606962663432, -0.04357508666968594, -0.1349520010718455, 0.3493679689282241, -0.06622535495165115, -0.23936293258642158, 0.16029789765986305, -0.21039969339035453, -0.19364703827692817, 0.13737896214782572, 0.12297738280612976, 0.12940728029449625, -0.12892061788588763, 0.1665366844565142, -0.05815237702336162, 0.09293036953701327, 0.08043966478483829, 0.006061622632356981, 0.09582455763593316, 0.03622759883292019, 0.09775993046350777, 0.11695314115883472, 0.0026594461232889444, -0.09538519829511642, -0.32078639265770714, -0.11575894188911964, -0.16391358242253773, 0.08830480719916523, -0.07775185643646788, -0.18863457235662887, 0.38481037607416513, 0.13186540455014134, 0.20449784124114861, 0.1358161292252286, 0.1675622483715415, 0.14739065499185625, -0.022130077708667765, 0.059043008073543506, 0.14613288845866917, 0.15150153969492142, 0.06808185904907683, -0.12001147931441665, 0.013976148473254095, 0.13805154114961624] |
711.3884 | Dynamics of cascade three-level system interacting with the classical
and quantized field | We study the exact solutions of the cascade three-level atom interacting with
a single mode classical and quantized field with different initial conditions
of the atom. For the semiclassical model, it is found that if the atom is
initially in the middle level, the time dependent populations of the upper and
lower levels are always equal. This dynamical symmetry exhibited by the
classical field is spoiled on quantization of the field mode. To reveal this
nonclassical effect an Euler matrix formalism is developed to solve the dressed
states of the cascade Jaynes-Cummings model (JCM). Possible modification of
such effect on the collapse and revival phenomenon is also discussed by taking
the quantized field in a coherent state.
| quant-ph | we study the exact solutions of the cascade threelevel atom interacting with a single mode classical and quantized field with different initial conditions of the atom for the semiclassical model it is found that if the atom is initially in the middle level the time dependent populations of the upper and lower levels are always equal this dynamical symmetry exhibited by the classical field is spoiled on quantization of the field mode to reveal this nonclassical effect an euler matrix formalism is developed to solve the dressed states of the cascade jaynescummings model jcm possible modification of such effect on the collapse and revival phenomenon is also discussed by taking the quantized field in a coherent state | [['we', 'study', 'the', 'exact', 'solutions', 'of', 'the', 'cascade', 'threelevel', 'atom', 'interacting', 'with', 'a', 'single', 'mode', 'classical', 'and', 'quantized', 'field', 'with', 'different', 'initial', 'conditions', 'of', 'the', 'atom', 'for', 'the', 'semiclassical', 'model', 'it', 'is', 'found', 'that', 'if', 'the', 'atom', 'is', 'initially', 'in', 'the', 'middle', 'level', 'the', 'time', 'dependent', 'populations', 'of', 'the', 'upper', 'and', 'lower', 'levels', 'are', 'always', 'equal', 'this', 'dynamical', 'symmetry', 'exhibited', 'by', 'the', 'classical', 'field', 'is', 'spoiled', 'on', 'quantization', 'of', 'the', 'field', 'mode', 'to', 'reveal', 'this', 'nonclassical', 'effect', 'an', 'euler', 'matrix', 'formalism', 'is', 'developed', 'to', 'solve', 'the', 'dressed', 'states', 'of', 'the', 'cascade', 'jaynescummings', 'model', 'jcm', 'possible', 'modification', 'of', 'such', 'effect', 'on', 'the', 'collapse', 'and', 'revival', 'phenomenon', 'is', 'also', 'discussed', 'by', 'taking', 'the', 'quantized', 'field', 'in', 'a', 'coherent', 'state']] | [-0.13742336094315744, 0.21744355400658558, -0.07461045545119888, 0.0779710707332318, -0.014254962092138126, -0.15504446586008924, 0.026414725210609186, 0.31782534550557023, -0.24673271137807104, -0.2730362967102446, 0.03491733347774189, -0.23018804075331706, -0.1254955623139683, 0.15282130187265894, 0.007933495484658668, 0.0202458090443387, 0.05890228673338126, 0.08726570043418333, -0.017668243715018194, -0.2165231950489409, 0.3599937711563757, 0.0724701568174363, 0.3162675180161993, 0.01921214109971228, 0.11522316851485999, -0.012692849780196566, 0.06789094135244815, 0.013818244688594952, -0.09421573059752028, 0.05199711409578514, 0.1687836397686002, 0.06398235882321994, 0.2468395188737374, -0.46365643590370303, -0.20053056000063244, 0.06157963437179469, 0.14007735055394702, 0.19185336774740464, -0.03021060555285782, -0.3097341698554591, 0.023883436082137957, -0.16169755249164808, -0.14903586434248167, -0.01787179944296487, 0.026940575386914942, -0.03195589259625054, -0.2562072416687878, 0.08024917466692331, 0.06248482740479203, 0.03445407715362385, -0.0739584072954698, -0.0613498946524456, -0.00447758721609592, 0.06656682754331468, 0.018962038300820012, 0.004769955409748448, 0.121472362581139, -0.14461546536519104, -0.11461457797588828, 0.3633928313258335, -0.0962518371341145, -0.19671164406500816, 0.14626753190134326, -0.16222281989633527, -0.06613881133385321, 0.12176766376305595, 0.09075831878198008, 0.10280149749233428, -0.09788633168985446, 0.08834798637087035, -0.046188478186949454, 0.1623079279421741, 0.04983067017000837, 0.05616428071441941, 0.18233952229508224, 0.1427618408511974, 0.021405221185941473, 0.17980187743878326, -0.07655404354883437, -0.17711307449339944, -0.29765368787508106, -0.13959477211896087, -0.20144623633161682, 0.08129596022459176, -0.04609697663912283, -0.17068414401231158, 0.41934972008865357, 0.1292725509086337, 0.16144883564999726, -0.018957366293264378, 0.29157736216090685, 0.23696036136143991, 0.03402454986159379, 0.022203010228327196, 0.29189565041874593, 0.18369262226514965, 0.060550320169164076, -0.3031002966504003, 0.012952384069307238, 0.05243906534961464] |
711.3885 | Quantum smoothing | Quantum initial state estimation through entanglement and continuous
measurement is introduced. This paper provides a unified formulation of
classical and quantum smoothing and shows a smoothing uncertainty relation. As
an example, a communication between two parties via a two mode squeezed state
is shown.
| quant-ph | quantum initial state estimation through entanglement and continuous measurement is introduced this paper provides a unified formulation of classical and quantum smoothing and shows a smoothing uncertainty relation as an example a communication between two parties via a two mode squeezed state is shown | [['quantum', 'initial', 'state', 'estimation', 'through', 'entanglement', 'and', 'continuous', 'measurement', 'is', 'introduced', 'this', 'paper', 'provides', 'a', 'unified', 'formulation', 'of', 'classical', 'and', 'quantum', 'smoothing', 'and', 'shows', 'a', 'smoothing', 'uncertainty', 'relation', 'as', 'an', 'example', 'a', 'communication', 'between', 'two', 'parties', 'via', 'a', 'two', 'mode', 'squeezed', 'state', 'is', 'shown']] | [-0.15397729176170702, 0.15371094368145516, -0.1727720968827436, 0.05718973475847055, -0.021402545463801784, -0.21570643558251587, 0.04658972909303636, 0.34234309128739615, -0.27317335799505765, -0.268495216246017, 0.08421554648454978, -0.24085984429852528, -0.14752248052338307, 0.21130057504739275, -0.07753272153521804, 0.13130216575651008, 0.08004813924939795, 0.0069561090045185256, -0.06377856363013218, -0.17311558225827123, 0.3111035486852581, 0.007458974051670256, 0.33899440578269685, 0.01742659693329849, 0.18332076197574762, 0.05912793857384135, -0.022221033461391926, -0.0002660732716321945, -0.10926891382868317, 0.10776222770271654, 0.25236808051439846, 0.12421983367213132, 0.3458468311635608, -0.33785588209601963, -0.21684101858938282, 0.10140372780998322, 0.13554043739780106, 0.1734194710575552, -0.05679156889461658, -0.3157204855233431, -0.04931293135847558, -0.23137506289111281, -0.030235910491848535, -0.07777524646371603, -0.03072282096201723, -0.10279285010289062, -0.3293408182534305, 0.11622373935427856, 0.06689094613433223, 0.04584078660065478, 0.00718213723633777, 0.01351904191754081, 0.02304671797901392, 0.09653699220242826, -0.042084430820647285, 0.031304019460962576, 0.09268265920267864, -0.10442447538000786, -0.16369770941409198, 0.33137175361414184, -0.04483826534653252, -0.23139491397887468, 0.16147726427086376, -0.020768067037517376, -0.07490303198044951, -0.020545878558715976, 0.09881395897404714, 0.06142718048596924, -0.16087338370694357, 0.05027319181482943, -0.0003228046169335192, 0.2310460632804527, 0.04332397644281049, 0.0871938076293604, 0.17221669538941403, 0.13166675039313055, 0.15113220700401475, 0.22441836387257685, -0.07728677789088, -0.20124309416860342, -0.3435781287791377, -0.23846795086071573, -0.23494901705668203, 0.0824297537857836, -0.08005418377532889, -0.12582444552191935, 0.3965009307827462, 0.0765379539688266, 0.18562760568139228, 0.03819814696907997, 0.35518337263916194, 0.12846268943923694, -0.05184366219592365, 0.06533011910505593, 0.24086849302561444, 0.19743103415451266, 0.05529308023820208, -0.20836343889294023, 0.05600378447508609, 0.05415540628283369] |
711.3886 | Formation of intermediate-mass black holes as primordial black holes in
the inflationary cosmology with running spectral index | Formation of primordial black holes (PBHs) on astrophysical mass scales is a
natural consequence of inflationary cosmology if the primordial perturbation
spectrum has a large and negative running of the spectral index as
observationally inferred today, because double inflation is required to explain
it and fluctuations on some astrophysical scales are enhanced in the field
oscillation regime in between. It is argued that PBHs thus produced can serve
as intermediate-mass black holes (IMBHs) which act as the observed
ultraluminous X-ray sources (ULXs) by choosing appropriate values of the model
parameters in their natural ranges. Our scenario can be observationally tested
in near future because the mass of PBHs is uniquely determined once we specify
the values of the spectral index and its running on large scales.
| astro-ph hep-ph | formation of primordial black holes pbhs on astrophysical mass scales is a natural consequence of inflationary cosmology if the primordial perturbation spectrum has a large and negative running of the spectral index as observationally inferred today because double inflation is required to explain it and fluctuations on some astrophysical scales are enhanced in the field oscillation regime in between it is argued that pbhs thus produced can serve as intermediatemass black holes imbhs which act as the observed ultraluminous xray sources ulxs by choosing appropriate values of the model parameters in their natural ranges our scenario can be observationally tested in near future because the mass of pbhs is uniquely determined once we specify the values of the spectral index and its running on large scales | [['formation', 'of', 'primordial', 'black', 'holes', 'pbhs', 'on', 'astrophysical', 'mass', 'scales', 'is', 'a', 'natural', 'consequence', 'of', 'inflationary', 'cosmology', 'if', 'the', 'primordial', 'perturbation', 'spectrum', 'has', 'a', 'large', 'and', 'negative', 'running', 'of', 'the', 'spectral', 'index', 'as', 'observationally', 'inferred', 'today', 'because', 'double', 'inflation', 'is', 'required', 'to', 'explain', 'it', 'and', 'fluctuations', 'on', 'some', 'astrophysical', 'scales', 'are', 'enhanced', 'in', 'the', 'field', 'oscillation', 'regime', 'in', 'between', 'it', 'is', 'argued', 'that', 'pbhs', 'thus', 'produced', 'can', 'serve', 'as', 'intermediatemass', 'black', 'holes', 'imbhs', 'which', 'act', 'as', 'the', 'observed', 'ultraluminous', 'xray', 'sources', 'ulxs', 'by', 'choosing', 'appropriate', 'values', 'of', 'the', 'model', 'parameters', 'in', 'their', 'natural', 'ranges', 'our', 'scenario', 'can', 'be', 'observationally', 'tested', 'in', 'near', 'future', 'because', 'the', 'mass', 'of', 'pbhs', 'is', 'uniquely', 'determined', 'once', 'we', 'specify', 'the', 'values', 'of', 'the', 'spectral', 'index', 'and', 'its', 'running', 'on', 'large', 'scales']] | [-0.11869016926853902, 0.20169128445051018, -0.07124074312695672, 0.19991183251009456, -0.09232397410013372, -0.0963954833033125, -0.0073175822525093, 0.3215943229429069, -0.18963314539619855, -0.3872607875179263, 0.10473311412247963, -0.2567769325382653, -0.047691840589756056, 0.24796855591222763, -0.021136967280495262, 0.010527866587388359, 0.018196595914011435, 0.0011613476866235335, 0.00881715669455598, -0.23809769673139922, 0.33619614055616753, 0.1697021997607653, 0.18305948088573853, 0.011782641938586335, 0.04473873117332539, -0.12056023958656523, -0.01371783773518271, -0.0019359692694648864, -0.1447131466576095, 0.01741635819364871, 0.2524760825234273, 0.16921286168508232, 0.20650592947467453, -0.36832830289171803, -0.25529050084924887, 0.13487832659279414, 0.1903260290800106, 0.07949482383749758, -0.07754900291218378, -0.24158047512912798, 0.10309404570245302, -0.18806276452868054, -0.11250550599606146, -0.02099782256557355, 0.061178952260571164, -0.01338084364524259, -0.27254898604818634, 0.11515718439800872, -0.01660094314230798, -0.07143149426436081, -0.08046910572623361, -0.05503111653074268, -0.06953785935091594, 0.07660624046721273, 0.1435409767824846, -0.009991243814251252, 0.22400617881101512, -0.11164219441476263, -0.061011422078110396, 0.4069944984087395, -0.10743759021843, -0.07413454425575706, 0.14204656024323037, -0.21824017238418852, -0.18324881538911353, 0.06041203530889655, 0.126024806164279, 0.15179379505386192, -0.09092619195432654, 0.12245225786492006, 0.01528359258026328, 0.2263489124764289, 0.11364237186942427, 0.10730891171768898, 0.43069081533227177, 0.13735719340287947, 0.02142959912972791, 0.06329772336730025, -0.07932099948881105, -0.029481977537562626, -0.2659766135713278, -0.0542487962363613, -0.22485978526270223, 0.1134478382550047, -0.18699269077617264, -0.17089967188260902, 0.341460589594799, 0.13363015928143074, 0.23465989199319173, -0.0035098757204924903, 0.26167614102329634, 0.12375499498854864, 0.09788452971741439, 0.060830008401165876, 0.35091513815628816, 0.1234612296324312, 0.09820279455004585, -0.20796704261253277, 0.05527893894366802, -0.007798835975191896] |
711.3887 | Spherical-separablility of non-Hermitian Dirac Hamiltonians and
pseudo-PT-symmetry | A non-Hermitian P$_{\phi}$T$_{\phi}$-symmetrized spherically-separable Dirac
Hamiltonian is considered. It is observed that the descendant Hamiltonians
H$_{r}$, H$_{\theta}$, and H$_{\phi}$ play essential roles and offer some
user-feriendly options as to which one (or ones) of them is (or are)
non-Hermitian. Considering a P$_{\phi}$T$_{\phi}$-symmetrized H$_{\phi}$, we
have shown that the conventional relativistic energy eigenvalues are
recoverable. We have also witnessed an unavoidable change in the azimuthal part
of the general wavefunction. Moreover, setting a possible interaction
$V(\theta)$=0 in the descendant Hamiltonian H$_{\theta}$ would manifest a
change in the angular $\theta$-dependent part of the general solution too.
Whilst some P$_{\phi}$T$_{\phi}$-symmetrized H$_{\phi}$ Hamiltonians are
considered, a recipe to keep the regular magnetic quantum number m, as defined
in the regular traditional Hermitian settings, is suggested. Hamiltonians
possess properties similar to the PT-symmetric ones (here the non-Hermitian
| quant-ph | a nonhermitian p_phit_phisymmetrized sphericallyseparable dirac hamiltonian is considered it is observed that the descendant hamiltonians h_r h_theta and h_phi play essential roles and offer some userferiendly options as to which one or ones of them is or are nonhermitian considering a p_phit_phisymmetrized h_phi we have shown that the conventional relativistic energy eigenvalues are recoverable we have also witnessed an unavoidable change in the azimuthal part of the general wavefunction moreover setting a possible interaction vtheta0 in the descendant hamiltonian h_theta would manifest a change in the angular thetadependent part of the general solution too whilst some p_phit_phisymmetrized h_phi hamiltonians are considered a recipe to keep the regular magnetic quantum number m as defined in the regular traditional hermitian settings is suggested hamiltonians possess properties similar to the ptsymmetric ones here the nonhermitian | [['a', 'nonhermitian', 'p_phit_phisymmetrized', 'sphericallyseparable', 'dirac', 'hamiltonian', 'is', 'considered', 'it', 'is', 'observed', 'that', 'the', 'descendant', 'hamiltonians', 'h_r', 'h_theta', 'and', 'h_phi', 'play', 'essential', 'roles', 'and', 'offer', 'some', 'userferiendly', 'options', 'as', 'to', 'which', 'one', 'or', 'ones', 'of', 'them', 'is', 'or', 'are', 'nonhermitian', 'considering', 'a', 'p_phit_phisymmetrized', 'h_phi', 'we', 'have', 'shown', 'that', 'the', 'conventional', 'relativistic', 'energy', 'eigenvalues', 'are', 'recoverable', 'we', 'have', 'also', 'witnessed', 'an', 'unavoidable', 'change', 'in', 'the', 'azimuthal', 'part', 'of', 'the', 'general', 'wavefunction', 'moreover', 'setting', 'a', 'possible', 'interaction', 'vtheta0', 'in', 'the', 'descendant', 'hamiltonian', 'h_theta', 'would', 'manifest', 'a', 'change', 'in', 'the', 'angular', 'thetadependent', 'part', 'of', 'the', 'general', 'solution', 'too', 'whilst', 'some', 'p_phit_phisymmetrized', 'h_phi', 'hamiltonians', 'are', 'considered', 'a', 'recipe', 'to', 'keep', 'the', 'regular', 'magnetic', 'quantum', 'number', 'm', 'as', 'defined', 'in', 'the', 'regular', 'traditional', 'hermitian', 'settings', 'is', 'suggested', 'hamiltonians', 'possess', 'properties', 'similar', 'to', 'the', 'ptsymmetric', 'ones', 'here', 'the', 'nonhermitian']] | [-0.17784313563629262, 0.1613597251853207, -0.07063376908587624, 0.1273183273765179, -0.08447765159265448, -0.18470224086917186, -0.05499528427319529, 0.3747408139382222, -0.22739654765897538, -0.262543313840563, 0.06682038553015784, -0.27970074697635894, -0.17075537559720724, 0.15481325711282476, -0.04108246952266425, 0.04913440360434989, 0.042090379900132965, 0.07086904062853419, -0.10242694923915907, -0.20797765015285144, 0.3154497661342657, 0.030089844959470365, 0.16691874747539964, 0.021859387762469144, 0.016093098872536144, -0.0033213379269451367, 0.054866421014763585, -0.001144932849646741, -0.08968498187138277, 0.049796969781434816, 0.25139555935756946, 0.05769920614507418, 0.23124112663862778, -0.3912810245240035, -0.18015454409399445, 0.14772553607817404, 0.1473818438871251, 0.10782719481025295, -0.045362143069794476, -0.2622420105852129, 0.016649937708392855, -0.1866725718299317, -0.20048076848412844, -0.10051527462697538, 0.04859929664652477, -0.03196885037892895, -0.24968174974932228, 0.06252062773691172, 0.11323949147391227, 0.02310021770323894, -0.0303640971032455, -0.1300334444381441, -0.07412321978905635, 0.08074351565374509, 0.02339147822931409, 0.007479132878659076, 0.09551601667072653, -0.0632524613197171, -0.08350572358751886, 0.42236874163035276, -0.0028460334892594077, -0.2370595009347727, 0.15061624593989448, -0.11513879221355067, -0.1255191200297297, 0.10105702152851131, 0.08911532530373381, 0.11203800238553406, -0.1186420120760914, 0.1517684047946042, -0.042705505349954896, 0.08214349950151156, 0.052182028672925033, 0.11711247188540883, 0.19001306474295465, 0.06240140894326822, 0.07673044061981314, 0.09163438311467569, 0.005767393201840464, -0.14080338967222245, -0.28191063241210096, -0.1407021011132025, -0.22883671018215576, 0.1045152661988472, -0.05753535255695, -0.1824251215446058, 0.42091282012388687, 0.10303067701847055, 0.18962951312870394, 0.0041014300433687804, 0.20683842116259327, 0.17139667780643922, 0.11942635385622812, 0.0744379732591757, 0.26216977239313877, 0.14332926108559607, 0.09967187461407148, -0.19609451531829644, 0.017205023773505475, 0.06479428595567281] |
711.3888 | Simulations of one-flavor QCD at finite temperature by RHMC | We simulate one-flavor QCD with standard Wilson fermions at finite
temperature by the rational hybrid Monte Carlo algorithm. In the heavy quark
region when we decrease the quark mass there is an endpoint which terminates
the first order phase transition. We try to locate it by calculating the Binder
cumulant of the Polyakov loop norm. We estimate the end-point to be kappa_c
\sim 0.07-0.08.
| hep-lat | we simulate oneflavor qcd with standard wilson fermions at finite temperature by the rational hybrid monte carlo algorithm in the heavy quark region when we decrease the quark mass there is an endpoint which terminates the first order phase transition we try to locate it by calculating the binder cumulant of the polyakov loop norm we estimate the endpoint to be kappa_c sim 007008 | [['we', 'simulate', 'oneflavor', 'qcd', 'with', 'standard', 'wilson', 'fermions', 'at', 'finite', 'temperature', 'by', 'the', 'rational', 'hybrid', 'monte', 'carlo', 'algorithm', 'in', 'the', 'heavy', 'quark', 'region', 'when', 'we', 'decrease', 'the', 'quark', 'mass', 'there', 'is', 'an', 'endpoint', 'which', 'terminates', 'the', 'first', 'order', 'phase', 'transition', 'we', 'try', 'to', 'locate', 'it', 'by', 'calculating', 'the', 'binder', 'cumulant', 'of', 'the', 'polyakov', 'loop', 'norm', 'we', 'estimate', 'the', 'endpoint', 'to', 'be', 'kappa_c', 'sim', '007008']] | [-0.06994195073275478, 0.2627000827435495, -0.09639767463204407, 0.11123438066033486, -0.019941812231991207, -0.11177215454517864, 0.11365637306516874, 0.3806319669674849, -0.19384472083766013, -0.22868073647259735, 0.05229164139564091, -0.34337180870352313, -0.034881098271398514, 0.07052738344646059, 0.03412978122241839, 0.09921386974747293, -0.01349678955739364, 0.04891031210718211, -0.155091186039499, -0.2202491702773841, 0.3047531828051433, 0.026786756483488716, 0.1892837413761299, 0.1452760262400261, 0.026606014638673514, -0.014196293162967777, 0.03107734392324346, -0.0390498516644584, -0.1776710237027146, -0.02127270569508255, 0.19424436589724792, -0.025067011963983532, 0.16141727314970922, -0.33394182575284503, -0.14697469649036066, 0.1932511494924256, 0.16450768243521452, 0.09319676553968748, -0.01346718383138068, -0.2439112628053408, 0.10593740769400029, -0.21729916316689923, -0.20432376117969397, -0.11773080941929948, -0.08456287106309901, -0.06522442094865255, -0.3207982259336859, 0.07175856077083154, -0.06793464491784107, 0.02586050349054858, 0.05647658876841888, -0.14862490934319794, -0.014389568306796718, 0.0892908489608999, 0.07145956458634828, 0.14726532328404573, 0.14175436087680282, -0.11958491816767491, -0.11214318637212273, 0.35427454800810665, -0.08238637258364179, -0.11119760575820692, 0.08388833093340509, -0.21091420423181262, -0.13306471706891898, 0.1577633770924649, 0.11790301886503585, 0.14332591719721677, -0.15805741991539435, 0.0948041965457378, 0.006209163679159246, 0.17621758790846798, 0.04808788627269678, -0.08601144567364827, 0.21545350133237662, 0.15197715523027, 0.019338653713930398, 0.14990681405288342, -0.0954408899488044, -0.20097665800130926, -0.35652461330755614, -0.14508902828310966, -0.1938070566393435, -0.017197636669152416, -0.18029687584203202, -0.23050390020944178, 0.3623576164827682, 0.24294331028067973, 0.20247051116894, 0.03835151381099422, 0.3065390030751587, 0.1967953446583124, 0.07577170414151624, 0.11994502042216482, 0.20967943795403698, 0.13562197452847613, 0.12750947434687987, -0.3347883714930049, -0.00820640009624185, 0.24620914638217073] |
711.3889 | H\"older continuity of the IDS for matrix-valued Anderson models | We study a class of continuous matrix-valued Anderson models acting on
$L^{2}(\R^{d})\otimes \C^{N}$. We prove the existence of their Integrated
Density of States for any $d\geq 1$ and $N\geq 1$. Then for $d=1$ and for
arbitrary $N$, we prove the H\"older continuity of the Integrated Density of
States under some assumption on the group $G_{\mu_{E}}$ generated by the
transfer matrices associated to our models. This regularity result is based
upon the analoguous regularity of the Lyapounov exponents associated to our
model, and a new Thouless formula which relates the sum of the positive
Lyapounov exponents to the Integrated Density of States. In the final section,
we present an example of matrix-valued Anderson model for which we have already
proved, in a previous article, that the assumption on the group $G_{\mu_{E}}$
is verified. Therefore the general results developed here can be applied to
this model.
| math-ph math.MP | we study a class of continuous matrixvalued anderson models acting on l2rdotimes cn we prove the existence of their integrated density of states for any dgeq 1 and ngeq 1 then for d1 and for arbitrary n we prove the holder continuity of the integrated density of states under some assumption on the group g_mu_e generated by the transfer matrices associated to our models this regularity result is based upon the analoguous regularity of the lyapounov exponents associated to our model and a new thouless formula which relates the sum of the positive lyapounov exponents to the integrated density of states in the final section we present an example of matrixvalued anderson model for which we have already proved in a previous article that the assumption on the group g_mu_e is verified therefore the general results developed here can be applied to this model | [['we', 'study', 'a', 'class', 'of', 'continuous', 'matrixvalued', 'anderson', 'models', 'acting', 'on', 'l2rdotimes', 'cn', 'we', 'prove', 'the', 'existence', 'of', 'their', 'integrated', 'density', 'of', 'states', 'for', 'any', 'dgeq', '1', 'and', 'ngeq', '1', 'then', 'for', 'd1', 'and', 'for', 'arbitrary', 'n', 'we', 'prove', 'the', 'holder', 'continuity', 'of', 'the', 'integrated', 'density', 'of', 'states', 'under', 'some', 'assumption', 'on', 'the', 'group', 'g_mu_e', 'generated', 'by', 'the', 'transfer', 'matrices', 'associated', 'to', 'our', 'models', 'this', 'regularity', 'result', 'is', 'based', 'upon', 'the', 'analoguous', 'regularity', 'of', 'the', 'lyapounov', 'exponents', 'associated', 'to', 'our', 'model', 'and', 'a', 'new', 'thouless', 'formula', 'which', 'relates', 'the', 'sum', 'of', 'the', 'positive', 'lyapounov', 'exponents', 'to', 'the', 'integrated', 'density', 'of', 'states', 'in', 'the', 'final', 'section', 'we', 'present', 'an', 'example', 'of', 'matrixvalued', 'anderson', 'model', 'for', 'which', 'we', 'have', 'already', 'proved', 'in', 'a', 'previous', 'article', 'that', 'the', 'assumption', 'on', 'the', 'group', 'g_mu_e', 'is', 'verified', 'therefore', 'the', 'general', 'results', 'developed', 'here', 'can', 'be', 'applied', 'to', 'this', 'model']] | [-0.10732335413158839, 0.09457282183441278, -0.10897094530634688, 0.05788729289639081, 0.0013635534766718005, -0.11416970628333535, 0.020662184994575297, 0.3373732660973035, -0.24152593566302924, -0.2270192959385508, 0.1173543398176049, -0.25923164379089436, -0.15566010533250763, 0.18946701730271234, -0.044743637240604095, 0.08720295763564632, -0.00016663167526588795, 0.05479096763285128, -0.0727203469112489, -0.2444054327693814, 0.3814928291088089, -0.016546144236064125, 0.24763239802237838, 0.08267494247927402, 0.08732967029147326, 0.011427136413019864, -0.01181147492602996, -0.009355943263607456, -0.17548918242076889, 0.16133780169163678, 0.19751071364765183, 0.07139123226770866, 0.24985674066561545, -0.38956073530890206, -0.22600525156561788, 0.13982013277115024, 0.11177408822699852, 0.07720963073834936, -0.03881676087786728, -0.30692613547575387, 0.1366171691011875, -0.15786680056720126, -0.18482300863396509, -0.037810398662026894, 0.046221351277426624, 0.022666303888425655, -0.3250566329212582, 0.0654789459931248, 0.11390685455721691, 0.042199181188030024, -0.11411259738160363, -0.11796212919198426, -0.02157463512799524, 0.1005441429298239, 0.007050969797279026, 0.016658103947217267, 0.08609844820494665, -0.09090667442544133, -0.12267483088207688, 0.2981130143871914, -0.07624126694013253, -0.23981021998569052, 0.17249780178816448, -0.14960217342137339, -0.15740478812247938, 0.06880416480679039, 0.16827192221081266, 0.13468060772436677, -0.09626318855832021, 0.12641893246860064, -0.0969456652623555, 0.15858808984477998, 0.04940277717822621, -0.003534693283719136, 0.0920916071524084, 0.09806658894299193, 0.10967543273536713, 0.13789297801571243, -0.035526056373524906, -0.0584784198175878, -0.36401039203430746, -0.1735318732639471, -0.217479731570533, 0.1216779844703298, -0.077427644107234, -0.1520941184358077, 0.4125176187569989, 0.1748712590948434, 0.20407934232238442, 0.12265836771293576, 0.19342588738320357, 0.1856537901528893, 0.0231876298405415, 0.06945061932337727, 0.18229727831389259, 0.16020169125742723, 0.05852697591185042, -0.1797135482337458, 0.05461539040445119, 0.120753960731829] |
711.389 | On the universal abelian variety of dimension 4 | Let A be the moduli space of principally polarized abelian varieties of
dimension 4 over an algebraically closed field k of characteristic different
from 2,3. It is proved that the universal principally polarized abelian variety
over A, as well as the universal theta divisor over A, are unirational
varieties.
| math.AG | let a be the moduli space of principally polarized abelian varieties of dimension 4 over an algebraically closed field k of characteristic different from 23 it is proved that the universal principally polarized abelian variety over a as well as the universal theta divisor over a are unirational varieties | [['let', 'a', 'be', 'the', 'moduli', 'space', 'of', 'principally', 'polarized', 'abelian', 'varieties', 'of', 'dimension', '4', 'over', 'an', 'algebraically', 'closed', 'field', 'k', 'of', 'characteristic', 'different', 'from', '23', 'it', 'is', 'proved', 'that', 'the', 'universal', 'principally', 'polarized', 'abelian', 'variety', 'over', 'a', 'as', 'well', 'as', 'the', 'universal', 'theta', 'divisor', 'over', 'a', 'are', 'unirational', 'varieties']] | [-0.21492612116723037, 0.1960726238870922, -0.13863184500713738, 0.046821394376931905, -0.07368016356070127, -0.1553889131743689, -0.053896501584320654, 0.3374703840485641, -0.3762245316828164, -0.17926933582187915, 0.06153593019449285, -0.15974474161369157, -0.09821548334760022, 0.3347003651564295, -0.08700939957812732, -0.10665244649031333, -0.09231637990368265, 0.09628521643426953, -0.06351253721501907, -0.4179646024974633, 0.4535075634413836, -0.11306252874129889, 0.2542476384135495, 0.05135465798215294, 0.128587346714066, 0.020683585642361824, 0.014561201122646429, 0.031706693472354955, -0.0644070182468716, 0.08417085464093454, 0.42824343303028417, 0.04688101781921803, 0.11941723894251853, -0.2776472203965698, -0.20803699817042798, 0.24695274963670846, 0.1620597966604543, 0.002197598639343466, 0.09358825736051919, -0.2084024903573552, 0.11666651146144283, -0.1939880695878243, -0.19032396704946852, -0.09698024051910152, 0.13350628410722604, 0.010907457590255201, -0.20991450901694444, -0.12082764709710467, 0.051852411754448345, 0.2700912796949245, -0.04429643614483731, -0.16299718810359434, -0.07386277192652378, -0.019977334214431444, 0.025251923789441282, 0.1779793716910086, 0.08409225708824031, -0.15607684018204407, -0.0912740147881666, 0.3362259775761287, -0.11307612264870989, -0.16819391726535193, 0.12695754855415042, -0.16320674750497755, -0.012402443158231219, 0.25855397284791176, 0.11582708392026168, 0.24594418347185973, 0.049365908648742705, 0.23282743621693583, -0.2070271614368777, 0.08984958078256067, 0.08329374184451845, -0.03342327501206678, 0.19092909078237277, 0.07522240269701091, 0.04543077008684679, 0.08492673307951844, -0.023228070489606078, -0.018654350212737158, -0.4049875146272231, -0.18009045704895135, -0.09100091674041991, 0.2996901810853457, -0.12570202907509342, -0.1587605080852399, 0.4129866810838635, -0.015326616151153813, 0.20158082788468015, 0.09462087770581853, 0.23196868872155949, -0.013700367168913007, 0.06659742456157597, 0.06481869806706601, 0.07264105930487263, 0.2647488702050581, -0.09939916184580676, -0.11439641728065908, -0.010052720284355538, 0.09758275349111277] |
711.3891 | A Two Higgs Bi-doublet Left-Right Model With Spontaneous CP Violation | We discuss a left-right symmetric model with two Higgs bi-doublet and
spontaneous P and CP violation. The flavor changing neutral currents is
suppressed by assuming approximate global U(1) family symmetry. We calculate
the constraints from neural K meson mass difference \Delta m_K and demonstrate
that a right-handed gauge boson W_2 contribution in box-diagrams with mass
around 600 GeV is allowed due to a negative interference with a light charged
Higgs boson around 150 \sim 300 GeV. The W_2 contribution to \epsilon_K is
suppressed from appropriate choice of additional CP phases appearing in the
right-handed Cabbibo-Kobayashi-Maskawa(CKM) matrix. The model is found fully
consistent with B^0 mass difference and the mixing-induced CP asymmetry
measurements.
| hep-ph | we discuss a leftright symmetric model with two higgs bidoublet and spontaneous p and cp violation the flavor changing neutral currents is suppressed by assuming approximate global u1 family symmetry we calculate the constraints from neural k meson mass difference delta m_k and demonstrate that a righthanded gauge boson w_2 contribution in boxdiagrams with mass around 600 gev is allowed due to a negative interference with a light charged higgs boson around 150 sim 300 gev the w_2 contribution to epsilon_k is suppressed from appropriate choice of additional cp phases appearing in the righthanded cabbibokobayashimaskawackm matrix the model is found fully consistent with b0 mass difference and the mixinginduced cp asymmetry measurements | [['we', 'discuss', 'a', 'leftright', 'symmetric', 'model', 'with', 'two', 'higgs', 'bidoublet', 'and', 'spontaneous', 'p', 'and', 'cp', 'violation', 'the', 'flavor', 'changing', 'neutral', 'currents', 'is', 'suppressed', 'by', 'assuming', 'approximate', 'global', 'u1', 'family', 'symmetry', 'we', 'calculate', 'the', 'constraints', 'from', 'neural', 'k', 'meson', 'mass', 'difference', 'delta', 'm_k', 'and', 'demonstrate', 'that', 'a', 'righthanded', 'gauge', 'boson', 'w_2', 'contribution', 'in', 'boxdiagrams', 'with', 'mass', 'around', '600', 'gev', 'is', 'allowed', 'due', 'to', 'a', 'negative', 'interference', 'with', 'a', 'light', 'charged', 'higgs', 'boson', 'around', '150', 'sim', '300', 'gev', 'the', 'w_2', 'contribution', 'to', 'epsilon_k', 'is', 'suppressed', 'from', 'appropriate', 'choice', 'of', 'additional', 'cp', 'phases', 'appearing', 'in', 'the', 'righthanded', 'cabbibokobayashimaskawackm', 'matrix', 'the', 'model', 'is', 'found', 'fully', 'consistent', 'with', 'b0', 'mass', 'difference', 'and', 'the', 'mixinginduced', 'cp', 'asymmetry', 'measurements']] | [-0.14994763450168475, 0.3162486156331258, 0.020357419161948265, 0.14815132656797497, -0.1082955968339701, -0.2252469362003041, 0.08733054507431481, 0.328682767797832, -0.24891521466207933, -0.30331163151978374, -0.0031834148092883398, -0.3232804660702141, -0.0020466423215898307, 0.04731765870625774, 0.07357843404820373, 0.009155799139727343, 0.009449953972655642, -0.0038709553831198194, -0.11800600741234785, -0.15151875931979367, 0.2761922855232213, -0.05762951690829485, 0.2063264541143367, 0.102493407771092, 0.05351672891258925, -0.029953273199918168, -0.050649709026287265, -0.10423353556040171, -0.10347243302732734, 0.02493496354971383, 0.12909622267643744, 0.027368378481483675, 0.07479658191876805, -0.27755561803241036, -0.072526754207305, 0.21940846571715567, 0.15092325104434076, 0.06587242068689284, -0.1025392871364733, -0.34585023105882845, 0.12109098465995746, -0.201894805221273, -0.12795117091458827, -0.025962448576129636, -0.021729766705853713, -0.16599093704182352, -0.40467754439324943, 0.16577940549164474, -0.08017585003698194, 0.02281224836809309, 0.030694128095952643, -0.20661659945675112, -0.09570069325592805, -0.06269257680118621, 0.20917035356323394, 0.0889230074826628, 0.17246094036549497, -0.1349154893426342, -0.11957010896960357, 0.42942886946561354, -0.13316255369903268, -0.17841218608674836, 0.09203084061543147, -0.1829068414403623, -0.12222961503341123, 0.16015543986892178, 0.14362673797048964, 0.04663264148801498, -0.18548324489378715, 0.1701876519747112, -0.07058858885671021, 0.17828975229729638, 0.06522469341687791, 0.05029875641428606, 0.29191650915051903, 0.1485291246559706, 0.07256892894033913, 0.044584632129618176, -0.08024911997002877, -0.07947147001621423, -0.39949728444487126, -0.09359832746522115, -0.054149283805174066, 0.09429921733366477, -0.10125985625776807, -0.005000142741377826, 0.4021614089624973, 0.09051490032537798, 0.2529281244554498, 0.027142570433752226, 0.2847257316666278, 0.08046012816254285, 0.11193462003962146, 0.05322843080235494, 0.293459872740346, 0.2375082207008827, 0.13360694088964714, -0.2963045086032031, -0.021563343464623432, 0.03802425881243638] |
711.3892 | A Simple Proof of Sharkovsky's Theorem Rerevisited | Based on various strategies and a new general doubling operator, we obtain
several simple proofs of the celebrated Sharkovsky's cycle coexistence theorem.
A simple non-directed graph proof which is especially suitable for a calculus
course right after the introduction of Intermediate Value Theorem is also given
(in section 3).
| math.DS | based on various strategies and a new general doubling operator we obtain several simple proofs of the celebrated sharkovskys cycle coexistence theorem a simple nondirected graph proof which is especially suitable for a calculus course right after the introduction of intermediate value theorem is also given in section 3 | [['based', 'on', 'various', 'strategies', 'and', 'a', 'new', 'general', 'doubling', 'operator', 'we', 'obtain', 'several', 'simple', 'proofs', 'of', 'the', 'celebrated', 'sharkovskys', 'cycle', 'coexistence', 'theorem', 'a', 'simple', 'nondirected', 'graph', 'proof', 'which', 'is', 'especially', 'suitable', 'for', 'a', 'calculus', 'course', 'right', 'after', 'the', 'introduction', 'of', 'intermediate', 'value', 'theorem', 'is', 'also', 'given', 'in', 'section', '3']] | [-0.11393774499788842, 0.08432534893936648, -0.13932593457628878, 0.11919764808036995, -0.131121761759515, -0.20295753247313658, 0.09156828074316893, 0.30048364013129353, -0.2498325506339268, -0.23706637676425127, 0.18448102781881712, -0.18338253006947283, -0.15732239186763763, 0.24357810784701486, -0.1275109295372148, -0.03032405343743003, 0.08203692274282173, 0.06538317892320301, -0.04479505093198041, -0.22070467957991594, 0.31277524824349245, -0.024929260112801378, 0.23053095326283757, 0.14530672119664295, 0.10604991912081534, 0.09776346509021763, -0.04271779509679395, -0.022400483717115557, -0.15957305675410494, 0.13015661865700873, 0.2216547117853651, 0.1243284357977765, 0.2919563226857964, -0.39306092680412896, -0.11790196253556987, 0.12316421438388679, 0.06941506447631637, 0.1243478137006679, -0.040918571753332356, -0.2481750739472253, 0.10312810716485339, -0.15562758099154703, -0.16061944328307898, -0.04689006324695917, 0.05880657907537356, -0.008376063702970135, -0.2668150315389075, 0.027684323588856592, 0.15404557102188773, 0.11837143791193257, -0.025232604189837655, -0.1365448360364618, 0.039323681155314705, 0.05748596584082258, -0.0247035708031332, 0.016403398452782814, 0.08685942179504402, -0.046201362293593735, -0.1482642521245443, 0.30707624486210394, -0.03322279926541508, -0.14637691193089195, 0.14061789783383055, -0.06325960244831381, -0.20104534739191282, 0.08218652700853286, 0.09603539806771644, 0.17250508974230258, -0.142120330447179, 0.10906241484323745, -0.07596083874909246, 0.11885714517640215, 0.1258816627443445, 0.021279555399740607, 0.10597171794090952, 0.19386281477933637, 0.1321299656446339, 0.11305013882490444, 0.03417519289449009, -0.143970476786549, -0.3629952235413449, -0.1731848765012561, -0.13728745552064964, 0.09211788629211382, -0.1650592921184713, -0.17723262933444003, 0.43081027721720083, 0.06858203603829048, 0.16935152742935686, 0.1180175754018318, 0.26546927954887556, 0.15839159718657636, 0.011524800777824938, 0.029659504740860085, 0.14589527865149537, 0.19497840163507024, 0.13183939741088116, -0.06102785909054231, 0.025494185404623955, 0.1974663937711442] |
711.3893 | Topologically Massive Abelian Gauge Theory | We discuss three mathematical structures which arise in topologically massive
abelian gauge theory. First, the euclidean topologically massive abelian gauge
theory defines a contact structure on a manifold. We briefly discuss three
solutions and the related contact structures on the flat 3-torus, the AdS
space, the 3-sphere which respectively correspond to Bianchi type I, VIII, IX
spaces. We also present solutions on Bianchi type II, VI and VII spaces.
Secondly, we discuss a family of complex (anti-)self-dual solutions of the
euclidean theory in cartesian coordinates on R3 which are given by
(anti-)holomorpic functions. The orthogonality relation of contact structures
which are determined by the real parts of these complex solutions separates
them into two classes: the self-dual and the anti-self-dual solutions. Thirdly,
we apply the curl transformation to this theory. An arbitrary solution is given
by a vector tangent to a sphere whose radius is determined by the topological
mass in transform space. Meanwhile a gauge transformation corresponds to a
vector normal to this sphere. We discuss the quantization of topological mass
on an example.
| hep-th | we discuss three mathematical structures which arise in topologically massive abelian gauge theory first the euclidean topologically massive abelian gauge theory defines a contact structure on a manifold we briefly discuss three solutions and the related contact structures on the flat 3torus the ads space the 3sphere which respectively correspond to bianchi type i viii ix spaces we also present solutions on bianchi type ii vi and vii spaces secondly we discuss a family of complex antiselfdual solutions of the euclidean theory in cartesian coordinates on r3 which are given by antiholomorpic functions the orthogonality relation of contact structures which are determined by the real parts of these complex solutions separates them into two classes the selfdual and the antiselfdual solutions thirdly we apply the curl transformation to this theory an arbitrary solution is given by a vector tangent to a sphere whose radius is determined by the topological mass in transform space meanwhile a gauge transformation corresponds to a vector normal to this sphere we discuss the quantization of topological mass on an example | [['we', 'discuss', 'three', 'mathematical', 'structures', 'which', 'arise', 'in', 'topologically', 'massive', 'abelian', 'gauge', 'theory', 'first', 'the', 'euclidean', 'topologically', 'massive', 'abelian', 'gauge', 'theory', 'defines', 'a', 'contact', 'structure', 'on', 'a', 'manifold', 'we', 'briefly', 'discuss', 'three', 'solutions', 'and', 'the', 'related', 'contact', 'structures', 'on', 'the', 'flat', '3torus', 'the', 'ads', 'space', 'the', '3sphere', 'which', 'respectively', 'correspond', 'to', 'bianchi', 'type', 'i', 'viii', 'ix', 'spaces', 'we', 'also', 'present', 'solutions', 'on', 'bianchi', 'type', 'ii', 'vi', 'and', 'vii', 'spaces', 'secondly', 'we', 'discuss', 'a', 'family', 'of', 'complex', 'antiselfdual', 'solutions', 'of', 'the', 'euclidean', 'theory', 'in', 'cartesian', 'coordinates', 'on', 'r3', 'which', 'are', 'given', 'by', 'antiholomorpic', 'functions', 'the', 'orthogonality', 'relation', 'of', 'contact', 'structures', 'which', 'are', 'determined', 'by', 'the', 'real', 'parts', 'of', 'these', 'complex', 'solutions', 'separates', 'them', 'into', 'two', 'classes', 'the', 'selfdual', 'and', 'the', 'antiselfdual', 'solutions', 'thirdly', 'we', 'apply', 'the', 'curl', 'transformation', 'to', 'this', 'theory', 'an', 'arbitrary', 'solution', 'is', 'given', 'by', 'a', 'vector', 'tangent', 'to', 'a', 'sphere', 'whose', 'radius', 'is', 'determined', 'by', 'the', 'topological', 'mass', 'in', 'transform', 'space', 'meanwhile', 'a', 'gauge', 'transformation', 'corresponds', 'to', 'a', 'vector', 'normal', 'to', 'this', 'sphere', 'we', 'discuss', 'the', 'quantization', 'of', 'topological', 'mass', 'on', 'an', 'example']] | [-0.18630103643277082, 0.11925811601161085, -0.03625446152819813, 0.09813059470750092, -0.12529688312714898, -0.1344474785902334, -0.018644649113244753, 0.3586341785213471, -0.2546586925324438, -0.21205983488036362, 0.11209376154791285, -0.26700542680116307, -0.22232858189809854, 0.11769059721658799, -0.051847901548547994, -0.023059071598296194, -0.013136598325719864, 0.059439931367256345, -0.164868105149389, -0.2630813909325235, 0.44521879567095646, -0.07060205962658785, 0.2632018567394765, -0.00525552223318781, 0.11511067316824591, -0.01526303639389232, -0.03897236541232051, 0.05109563279842112, -0.17191062851048922, 0.12790110944094532, 0.1968696872200603, 0.09918332874143346, 0.14292374125483778, -0.39180964309636546, -0.17927037533533213, 0.09039784665687824, 0.12565929857992578, 0.056035456610254775, -0.022712111987585694, -0.3263436835259199, 0.07409320188413278, -0.11835838688387611, -0.16625768332086482, -0.07717500740244727, 0.034160166826291846, -0.025350452113050925, -0.18206710850013066, 0.010411621078046978, 0.04502623825837141, 0.03291546389053779, -0.14382284354009056, -0.05916481423352299, -0.05198398978588568, 0.05220699868828658, 0.03923165926110299, 0.04280379674418819, 0.07361614363232558, -0.1061650773541448, -0.10168073991120889, 0.4041641084059147, -0.051313839676179765, -0.301785123059138, 0.17011742791075302, -0.09516373064486716, -0.14369620199331307, 0.11747312637302897, 0.14135913306515363, 0.13328830238790304, -0.09204193402982275, 0.19688749204867456, -0.044419713270176076, 0.10682176028099981, 0.08151739963126936, -0.009051109554417345, 0.22273933000584273, 0.05861982010604664, 0.06409300342416284, 0.14017845275704802, -0.04547727164218936, -0.13726331818856877, -0.3911364093936723, -0.20870873473862978, -0.11561764132274294, 0.11894868619889877, -0.13575264184052277, -0.22620666102003092, 0.3954786508579621, 0.03633957317141795, 0.19426629563322526, 0.04107447366508516, 0.20576557329449074, 0.10028931670340485, 0.043216847129508684, 0.0663751076613205, 0.2153283513683676, 0.17382596979110404, 0.059529887489578416, -0.17552029958728102, -0.10119147085177915, 0.18462262995776602] |
711.3894 | Plane Jacobian conjecture for simple polynomials | A non-zero constant Jacobian polynomial map $F=(P,Q):\mathbb{C}^2
\longrightarrow \mathbb{C}^2$ has a polynomial inverse if the component $P$ is
a simple polynomial, i.e. if, when $P$ extended to a morphism
$p:X\longrightarrow \mathbb{P}^1$ of a compactification $X$ of $\mathbb{C}^2$,
the restriction of $p$ to each irreducible component $C$ of the
compactification divisor $D = X-\mathbb{C}^2$ is either degree 0 or 1.
| math.AG math.AC | a nonzero constant jacobian polynomial map fpqmathbbc2 longrightarrow mathbbc2 has a polynomial inverse if the component p is a simple polynomial ie if when p extended to a morphism pxlongrightarrow mathbbp1 of a compactification x of mathbbc2 the restriction of p to each irreducible component c of the compactification divisor d xmathbbc2 is either degree 0 or 1 | [['a', 'nonzero', 'constant', 'jacobian', 'polynomial', 'map', 'fpqmathbbc2', 'longrightarrow', 'mathbbc2', 'has', 'a', 'polynomial', 'inverse', 'if', 'the', 'component', 'p', 'is', 'a', 'simple', 'polynomial', 'ie', 'if', 'when', 'p', 'extended', 'to', 'a', 'morphism', 'pxlongrightarrow', 'mathbbp1', 'of', 'a', 'compactification', 'x', 'of', 'mathbbc2', 'the', 'restriction', 'of', 'p', 'to', 'each', 'irreducible', 'component', 'c', 'of', 'the', 'compactification', 'divisor', 'd', 'xmathbbc2', 'is', 'either', 'degree', '0', 'or', '1']] | [-0.24980605949055065, 0.08105079061775045, -0.10555918176065791, -0.014943552165376869, -0.1305848377333446, -0.2621888242577287, -0.023750330372290178, 0.2891424392434684, -0.448711536553773, -0.08538181219588627, 0.0866998362947594, -0.24979194135997784, -0.07035377779552206, 0.09836012534373863, -0.058081472273492675, -0.011663980172439055, 0.02007460148835724, 0.13542806143787775, -0.12506514179774306, -0.306437342681668, 0.3642453114586798, -0.12599583977664058, 0.12614377960562706, 0.07788011701777578, 0.15550725178962405, -0.04984103562310338, 0.06760075122795321, -0.0948861557312987, -0.13973097432066095, 0.06762767496561124, 0.2924197253263132, 0.11400258832357146, 0.20678949897939508, -0.28011629042977637, -0.1453431767157533, 0.36537125151265754, 0.18132197221910412, -0.06922004398974506, 0.0936260626312684, -0.18741900440813467, 0.148487600506368, -0.1262699551269179, -0.19606615013696932, -0.020824427623301743, 0.22438197689638897, -0.03785131004723635, -0.35205511764030567, -0.046335854296657174, 0.14899543645707045, 0.1885318227112293, 0.04134725451215424, -0.1418775866993449, -0.0874680729244243, -0.05439424993713725, -0.019341049436479806, 0.24803170586343515, 0.10471865147860213, -0.09678817161104895, -0.044462436556138775, 0.39388906881213187, -0.11386258787560193, -0.2761690055443482, 0.06499009963802316, -0.19394975873557005, -0.13975035367872227, 0.19885062862251124, 0.048741303054107864, 0.16266635494645346, 0.07111485270566349, 0.3011943999254568, -0.117744376916777, 0.1582590966400775, 0.13068570035605015, -0.14804389239712196, 0.10594239254185761, 0.04653606351718984, 0.10190913922746073, 0.08455549420958215, -0.03722071943973953, 0.05737009146674113, -0.41940571638670837, -0.1518319796918976, -0.17180990211834962, 0.25135255107148124, -0.1593609764833342, -0.1366927660324357, 0.36520089246332643, -0.06760982283475724, 0.2730671306902712, 0.09628306176852096, 0.2416369475847618, 0.07787591144442559, 0.006649267197247934, 0.04645163525234569, 0.035049756480888886, 0.1846796589818868, -0.0808829872106964, -0.15837535013190723, 0.03179643199863759, 0.19870421441949226] |
711.3895 | Hidden Local Symmetry and Dense Half-Skyrmion Matter | Transition from baryonic matter to color-flavor-locked quark matter is
described in terms of skyrmion matter changing into half-skyrmion matter. The
intermediate phase between the density $n_p$ at which a skyrmion turns into two
half skyrmions and the chiral transition density $n_c^{\chi SR}$ at which
hadronic matter changes over to quark matter corresponds to a chiral symmetry
restored phase characterized by a vanishing quark condensate and a {\em
non-vanishing} pion decay constant. When hidden local fields are incorporated,
the vector manifestation of Harada-Yamawaki HLS theory implies that as density
approaches $n_c^{\chi SR}$, the gauge coupling $g$ goes to zero (in the chiral
limit) and the symmetry "swells" to $SU(N_f)^4$ as proposed by Georgi for the
"vector limit." This enhanced symmetry, not present in QCD, can be interpreted
as "emergent" in medium due to collective excitations. The fractionization of
skyrmions into half-skyrmions resembles closely the magnetic N\'eel--to-valence
bond solid (VBS) paramagnet transition where "baby" half-skyrmions enter as
relevant degrees of freedom in the intermediate phase. It is suggested that the
half-skyrmion phase in dense matter corresponds to the "hadronic freedom"
regime that plays a singularly important role in inducing kaon condensation
that leads to the collapse of massive compact stars into black holes..
| nucl-th hep-ph hep-th | transition from baryonic matter to colorflavorlocked quark matter is described in terms of skyrmion matter changing into halfskyrmion matter the intermediate phase between the density n_p at which a skyrmion turns into two half skyrmions and the chiral transition density n_cchi sr at which hadronic matter changes over to quark matter corresponds to a chiral symmetry restored phase characterized by a vanishing quark condensate and a em nonvanishing pion decay constant when hidden local fields are incorporated the vector manifestation of haradayamawaki hls theory implies that as density approaches n_cchi sr the gauge coupling g goes to zero in the chiral limit and the symmetry swells to sun_f4 as proposed by georgi for the vector limit this enhanced symmetry not present in qcd can be interpreted as emergent in medium due to collective excitations the fractionization of skyrmions into halfskyrmions resembles closely the magnetic neeltovalence bond solid vbs paramagnet transition where baby halfskyrmions enter as relevant degrees of freedom in the intermediate phase it is suggested that the halfskyrmion phase in dense matter corresponds to the hadronic freedom regime that plays a singularly important role in inducing kaon condensation that leads to the collapse of massive compact stars into black holes | [['transition', 'from', 'baryonic', 'matter', 'to', 'colorflavorlocked', 'quark', 'matter', 'is', 'described', 'in', 'terms', 'of', 'skyrmion', 'matter', 'changing', 'into', 'halfskyrmion', 'matter', 'the', 'intermediate', 'phase', 'between', 'the', 'density', 'n_p', 'at', 'which', 'a', 'skyrmion', 'turns', 'into', 'two', 'half', 'skyrmions', 'and', 'the', 'chiral', 'transition', 'density', 'n_cchi', 'sr', 'at', 'which', 'hadronic', 'matter', 'changes', 'over', 'to', 'quark', 'matter', 'corresponds', 'to', 'a', 'chiral', 'symmetry', 'restored', 'phase', 'characterized', 'by', 'a', 'vanishing', 'quark', 'condensate', 'and', 'a', 'em', 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711.3896 | Accelerating consensus of self-driven swarm via adaptive speed | In resent years, Vicsek model has attracted more and more attention and been
well developed. However, the in-depth analysis on the convergence time are
scarce thus far. In this paper, we study some certain factors that mainly
govern the convergence time of Vicsek model. By extensively numerical
simulations, we find the convergence time scales in a power law with $r^2\ln N$
in the noise-free case, where $r$ and $N$ are horizon radius and the number of
particles. Furthermore, to accelerate the convergence, we propose a new model
in which the speed of each particle is variable. The convergence time can be
remarkably shortened compared with the standard Vicsek model.
| cond-mat.dis-nn cond-mat.stat-mech | in resent years vicsek model has attracted more and more attention and been well developed however the indepth analysis on the convergence time are scarce thus far in this paper we study some certain factors that mainly govern the convergence time of vicsek model by extensively numerical simulations we find the convergence time scales in a power law with r2ln n in the noisefree case where r and n are horizon radius and the number of particles furthermore to accelerate the convergence we propose a new model in which the speed of each particle is variable the convergence time can be remarkably shortened compared with the standard vicsek model | [['in', 'resent', 'years', 'vicsek', 'model', 'has', 'attracted', 'more', 'and', 'more', 'attention', 'and', 'been', 'well', 'developed', 'however', 'the', 'indepth', 'analysis', 'on', 'the', 'convergence', 'time', 'are', 'scarce', 'thus', 'far', 'in', 'this', 'paper', 'we', 'study', 'some', 'certain', 'factors', 'that', 'mainly', 'govern', 'the', 'convergence', 'time', 'of', 'vicsek', 'model', 'by', 'extensively', 'numerical', 'simulations', 'we', 'find', 'the', 'convergence', 'time', 'scales', 'in', 'a', 'power', 'law', 'with', 'r2ln', 'n', 'in', 'the', 'noisefree', 'case', 'where', 'r', 'and', 'n', 'are', 'horizon', 'radius', 'and', 'the', 'number', 'of', 'particles', 'furthermore', 'to', 'accelerate', 'the', 'convergence', 'we', 'propose', 'a', 'new', 'model', 'in', 'which', 'the', 'speed', 'of', 'each', 'particle', 'is', 'variable', 'the', 'convergence', 'time', 'can', 'be', 'remarkably', 'shortened', 'compared', 'with', 'the', 'standard', 'vicsek', 'model']] | [-0.08410251940976521, 0.09779921155038435, -0.08715835505019907, 0.0381605923218533, -0.03650799503874615, -0.14476703686229542, 0.013680753260722742, 0.37907266261380745, -0.2532208298051029, -0.30897068304069547, 0.11886904198663531, -0.26718220053616604, -0.14318883462826115, 0.1811323339138778, -0.04454024158281471, 0.07786500556089401, 0.04270867616741346, 0.057313182626193, -0.0319778277440458, -0.2774358846208747, 0.21993500691061035, 0.11225415894402824, 0.26336304115456177, 0.013349683162833163, 0.060962369699680476, -0.047334670055008264, -0.03428656581379132, 0.05725534209007517, -0.15104463774052185, 0.07025636497184361, 0.16769794549006933, 0.09404485365333155, 0.3256935826203692, -0.4427217124820337, -0.2340574906199077, 0.13064961379325582, 0.2084359278530737, 0.11372498122424127, -0.0585591206863766, -0.24029893484265638, 0.08818001023263013, -0.17717163628522614, -0.08955783465740468, -0.08018335190904967, 0.049471078944657375, 0.06203747204175954, -0.24234496291359425, 0.09364129663146006, 0.06978414739095477, 0.05454611553545665, -0.03132647825746771, -0.07761905268913374, 0.019248683789505734, 0.09966950493740824, 0.12391639712967252, 0.007486158347509186, 0.08049285833920361, -0.10444821331675651, -0.10556785224877092, 0.39700086341333496, -0.05059382174625446, -0.19886859899403853, 0.21515658813520172, -0.18097175632116444, -0.13911499750347586, 0.11003337157975643, 0.213878643827154, 0.16217491484105367, -0.14698588347421326, 0.1263830656839381, -0.06558057273110084, 0.16472018685687437, 0.03155332868662449, 0.018145320368845256, 0.11736152129709174, 0.21944851804217066, 0.04251247493618535, 0.1406938547306959, -0.08591456840096742, -0.15342597724280294, -0.257237838846076, -0.13220893870184727, -0.18094140082734442, 0.02042904195115141, -0.12476027007545815, -0.09150253632319492, 0.41633189240590146, 0.17439376479100197, 0.223769748233122, 0.12213313989789831, 0.28162789830100643, 0.11369019045297979, 0.02618496339135897, 0.11999209596425159, 0.25650366175831124, 0.08426864641086293, 0.13240706575863542, -0.18843780967637624, 0.07611528302354892, 0.07995718166044136] |
711.3897 | Optical Monitoring of 3C 390.3 from 1995 to 2004 and Possible
Periodicities in the Historical Light Curve | We report V, R, and I band CCD photometry of the radio galaxy 3C 390.3
obtained with the 1.56-m telescope of the Shanghai Astronomical Observatory
from March 1995 to August 2004. Combining these data with data from the
literature, we have constructed a historical light curve from 1894 to 2004 and
searched for periodicities using the CLEANest program. We find possible periods
of 8.30+-1.17, 5.37+-0.49, 3.51+-0.21, and 2.13+-0.08 years.
| astro-ph | we report v r and i band ccd photometry of the radio galaxy 3c 3903 obtained with the 156m telescope of the shanghai astronomical observatory from march 1995 to august 2004 combining these data with data from the literature we have constructed a historical light curve from 1894 to 2004 and searched for periodicities using the cleanest program we find possible periods of 830117 537049 351021 and 213008 years | [['we', 'report', 'v', 'r', 'and', 'i', 'band', 'ccd', 'photometry', 'of', 'the', 'radio', 'galaxy', '3c', '3903', 'obtained', 'with', 'the', '156m', 'telescope', 'of', 'the', 'shanghai', 'astronomical', 'observatory', 'from', 'march', '1995', 'to', 'august', '2004', 'combining', 'these', 'data', 'with', 'data', 'from', 'the', 'literature', 'we', 'have', 'constructed', 'a', 'historical', 'light', 'curve', 'from', '1894', 'to', '2004', 'and', 'searched', 'for', 'periodicities', 'using', 'the', 'cleanest', 'program', 'we', 'find', 'possible', 'periods', 'of', '830117', '537049', '351021', 'and', '213008', 'years']] | [-0.05346353501797869, 0.03156072061795455, -0.1297635245638398, 0.025000694120087874, -0.13441534069581673, -0.1155303715584943, 0.11499992359716159, 0.455104085459159, -0.17870210860497676, -0.39476919775971997, 0.14840630338025781, -0.34178857605841656, -0.10271437966193143, 0.2800180477412561, -0.04461347290243094, -0.016754700558689925, 0.16253710515224018, -0.1551083120589073, -0.02809893092086825, -0.28687107334486567, 0.22017755477617568, 0.104658654346489, 0.2002118164458527, -0.0752946387224186, 0.11951825419942347, 0.021386237990540954, -0.16442807513074234, -0.05871577141090081, -0.1492891039054554, 0.08203351289893572, 0.26649954325806063, 0.1632114020955319, 0.12486594449012325, -0.3615359327970789, -0.14640039334503505, 0.0524966930039227, 0.014465743117034436, 0.0012389733241154597, -0.004730759815384562, -0.36942027024924756, -0.005665372197444622, -0.17542234475079638, -0.1407933043459287, 0.08612025008859256, 0.11614452616239969, 0.03841600751934143, -0.19137559120471662, 0.06884435886660448, -0.0910729403535907, 0.197742508416279, -0.10825895346844426, -0.16295374909129282, -0.0661409843659315, 0.12247958042873786, 0.07077499103660767, 0.07716133515708722, 0.0043608489553802286, -0.013274034879242, -0.1321596381182854, 0.33918650039256765, -0.07972209854767873, 0.17023858211648005, 0.14455728659119743, -0.19543332477601674, -0.1949801876066396, 0.09898896092334046, 0.1896806430358153, 0.07064786870748951, -0.1870941994425196, 0.1126249634168254, -0.05832621341284651, 0.2055979711934924, 0.09688688076746005, 0.016056505651795304, 0.23285902145390328, 0.07538625455389802, -0.05166428434805801, 0.09724833440895264, -0.3397670992291891, 0.019938063326900683, -0.25310773465495845, -0.07450923495567761, -0.14048074172953, 0.08223754630352442, -0.019350121269907015, -0.049744240681712446, 0.4292498453305318, 0.10947537168573875, 0.14047731867489907, -0.001508806087076664, 0.20196357664580528, 0.034226120865115756, 0.0642691504317694, 0.1773120785705172, 0.3373026048334745, 0.07984457686633015, 0.21676361529299845, -0.12383065135307754, -0.04601506390967048, 9.05015434210117e-05] |
711.3898 | Equivariant relative Thom forms and Chern characters | These notes are the first chapter of a monograph, dedicated to a detailed
proof of the equivariant index theorem for transversally elliptic operators. In
this preliminary chapter, we prove a certain number of natural relations in
equivariant cohomology. These relations include the Thom isomorphism in
equivariant cohomology, the multiplicativity of the relative Chern characters,
and the Riemann-Roch relation between the relative Chern character of the Bott
symbol and of the relative Thom class.
| math.DG | these notes are the first chapter of a monograph dedicated to a detailed proof of the equivariant index theorem for transversally elliptic operators in this preliminary chapter we prove a certain number of natural relations in equivariant cohomology these relations include the thom isomorphism in equivariant cohomology the multiplicativity of the relative chern characters and the riemannroch relation between the relative chern character of the bott symbol and of the relative thom class | [['these', 'notes', 'are', 'the', 'first', 'chapter', 'of', 'a', 'monograph', 'dedicated', 'to', 'a', 'detailed', 'proof', 'of', 'the', 'equivariant', 'index', 'theorem', 'for', 'transversally', 'elliptic', 'operators', 'in', 'this', 'preliminary', 'chapter', 'we', 'prove', 'a', 'certain', 'number', 'of', 'natural', 'relations', 'in', 'equivariant', 'cohomology', 'these', 'relations', 'include', 'the', 'thom', 'isomorphism', 'in', 'equivariant', 'cohomology', 'the', 'multiplicativity', 'of', 'the', 'relative', 'chern', 'characters', 'and', 'the', 'riemannroch', 'relation', 'between', 'the', 'relative', 'chern', 'character', 'of', 'the', 'bott', 'symbol', 'and', 'of', 'the', 'relative', 'thom', 'class']] | [-0.22248315491573248, 0.05185058264261947, -0.11256609201329211, 0.12620589748018562, -0.08942698304898629, -0.11886493598225795, 0.006180474764271958, 0.2612265872016345, -0.3740366535541946, -0.28448893576350115, 0.05946602413832682, -0.2330081896626786, -0.19108536691494185, 0.1748778522907667, -0.2169967684256908, 0.03982595868459712, 0.05797588242192383, 0.05450137020790414, -0.12243388316989558, -0.2577296629271387, 0.48287293320036917, -0.032863820635088505, 0.22634408822002478, 0.11047551061396729, 0.059878796243351205, -0.022842553769531725, -0.10904661017431788, -0.09993347066314254, -0.14979955680949025, 0.22175347768025447, 0.35740202537750543, -0.006082415226719355, 0.1591724993099701, -0.35128674491576545, -0.032064146987379416, 0.16212678807851386, 0.059190912905774294, 0.01101402458671021, 0.044271483803678256, -0.29430155991895557, 0.08905134624454722, -0.2166732101356738, -0.13145992195565406, -0.0827460475489242, 0.07502897821162662, 0.07240750557704739, -0.15844522049165752, 0.0012616333679283318, 0.1596659183013213, 0.22327975236032516, -0.0848521442943546, -0.06712862663608912, -0.05674199216476042, 0.10636450745777724, 0.03800525236236926, -0.009169672182059451, 0.05355654496776119, -0.09072795150122184, -0.15920183039589286, 0.3605294553180263, -0.0626962343358422, -0.17122018421451524, 0.05677785068648319, -0.14648291913869038, -0.25367122142869114, 0.0859376923882798, 0.06385209778808568, 0.18146501304199025, 0.0372522407887529, 0.1372205829231885, -0.09724761814150915, 0.10201535985026866, 0.11469043757485813, 0.03703233450396012, 0.15191883741788667, 0.01077023272925656, 0.017304433152487832, 0.16763344835745145, 0.005913034004911984, -0.05948367589855031, -0.4218122083438586, -0.32580418712523296, -0.1359570810494766, 0.17618484445209678, -0.10561382137071533, -0.16321145704858106, 0.48731652565606653, 0.09208698031709414, 0.15664186787931886, 0.16855946697345744, 0.2382730071318068, 0.08127588355173804, -0.004621293619019936, -0.025967652220534137, 0.16808072635776375, 0.2852788259587625, 0.07384506257072296, -0.09922249365138681, -0.07260437536512641, 0.3005177093644256] |
711.3899 | Stable pairs and BPS invariants | We define the BPS invariants of Gopakumar-Vafa in the case of irreducible
curve classes on Calabi-Yau 3-folds. The main tools are the theory of stable
pairs in the derived category and Behrend's constructible function approach to
the virtual class. We prove that for irreducible classes the stable pairs
generating function satisfies the strong BPS rationality conjectures.
We define the contribution of each curve to the BPS invariants. A curve $C$
only contributes to the BPS invariants in genera lying between the geometric
genus and arithmetic genus of $C$. Complete formulae are derived for
nonsingular and nodal curves.
A discussion of primitive classes on K3 surfaces from the point of view of
stable pairs is given in the Appendix via calculations of Kawai-Yoshioka. A
proof of the Yau-Zaslow formula for rational curve counts is obtained. A
connection is made to the Katz-Klemm-Vafa formula for BPS counts in all genera.
| math.AG hep-th | we define the bps invariants of gopakumarvafa in the case of irreducible curve classes on calabiyau 3folds the main tools are the theory of stable pairs in the derived category and behrends constructible function approach to the virtual class we prove that for irreducible classes the stable pairs generating function satisfies the strong bps rationality conjectures we define the contribution of each curve to the bps invariants a curve c only contributes to the bps invariants in genera lying between the geometric genus and arithmetic genus of c complete formulae are derived for nonsingular and nodal curves a discussion of primitive classes on k3 surfaces from the point of view of stable pairs is given in the appendix via calculations of kawaiyoshioka a proof of the yauzaslow formula for rational curve counts is obtained a connection is made to the katzklemmvafa formula for bps counts in all genera | [['we', 'define', 'the', 'bps', 'invariants', 'of', 'gopakumarvafa', 'in', 'the', 'case', 'of', 'irreducible', 'curve', 'classes', 'on', 'calabiyau', '3folds', 'the', 'main', 'tools', 'are', 'the', 'theory', 'of', 'stable', 'pairs', 'in', 'the', 'derived', 'category', 'and', 'behrends', 'constructible', 'function', 'approach', 'to', 'the', 'virtual', 'class', 'we', 'prove', 'that', 'for', 'irreducible', 'classes', 'the', 'stable', 'pairs', 'generating', 'function', 'satisfies', 'the', 'strong', 'bps', 'rationality', 'conjectures', 'we', 'define', 'the', 'contribution', 'of', 'each', 'curve', 'to', 'the', 'bps', 'invariants', 'a', 'curve', 'c', 'only', 'contributes', 'to', 'the', 'bps', 'invariants', 'in', 'genera', 'lying', 'between', 'the', 'geometric', 'genus', 'and', 'arithmetic', 'genus', 'of', 'c', 'complete', 'formulae', 'are', 'derived', 'for', 'nonsingular', 'and', 'nodal', 'curves', 'a', 'discussion', 'of', 'primitive', 'classes', 'on', 'k3', 'surfaces', 'from', 'the', 'point', 'of', 'view', 'of', 'stable', 'pairs', 'is', 'given', 'in', 'the', 'appendix', 'via', 'calculations', 'of', 'kawaiyoshioka', 'a', 'proof', 'of', 'the', 'yauzaslow', 'formula', 'for', 'rational', 'curve', 'counts', 'is', 'obtained', 'a', 'connection', 'is', 'made', 'to', 'the', 'katzklemmvafa', 'formula', 'for', 'bps', 'counts', 'in', 'all', 'genera']] | [-0.20129802528252774, 0.03678063601610366, -0.1221003777574043, 0.14603015926675997, -0.056041065531128365, -0.14909731648308602, 0.045821507186849124, 0.2849761392516902, -0.2508367129972809, -0.26224167788766223, 0.029292677359252766, -0.2768407910495896, -0.13935486073416933, 0.25860734252932455, -0.1441044855793636, 0.007644732768263517, 0.03587764180328294, 0.05671406048350036, -0.10642980366498483, -0.3144598373611508, 0.4177832671258649, -0.09982328301899739, 0.22500448454347616, 0.08340449206534194, 0.08337399095447885, 0.013540228929471326, -0.009013622508359116, -0.03835223701694426, -0.17369167187442489, 0.21200855883039735, 0.29914495072050673, 0.09852653009835882, 0.08501088459869041, -0.34681056050986453, -0.13010665661391072, 0.18109454024847396, 0.0862047915376221, 0.08142355166539247, 0.034945060804209394, -0.20463226545394422, 0.1287159491739412, -0.10526849784120615, -0.2225805796380784, -0.06295127715487536, 0.08491228363552206, 0.03901601376993632, -0.18068942798591042, -0.00460770823426444, 0.048037442658725824, 0.12895425536304617, -0.06189537712851086, -0.11656916597417581, -0.13173722456888975, 0.09799398241463948, 0.03399117213101252, 0.03961327018505718, 0.05704277045584309, -0.17108335747459047, -0.1254591991703303, 0.30719670620621053, -0.04697454087687908, -0.1969328883766335, 0.07927624510311698, -0.1055478887928247, -0.18509072353245337, 0.16832609024808137, 0.08439218471411968, 0.21769619576406438, -0.02539931975833669, 0.14680138569383416, -0.10335272227451708, 0.09870539672890634, 0.11074610003521917, -0.015704045767543483, 0.2161903550535302, 0.03490209549577353, -0.0026357226998771767, 0.16926911666224762, -0.047357600279832004, -0.09288717327935218, -0.42179182648809777, -0.20442207442357432, -0.10046875711083664, 0.12669817997595748, -0.08879035739890831, -0.19802744911253653, 0.44342883318549375, 0.011707128346520098, 0.18124060976363063, 0.1713066687791709, 0.22109387070884476, 0.0924790125726439, 0.04351536068291328, 0.06316511448460153, 0.1396873359052414, 0.1957293249056297, -0.023472527519196453, -0.14242668780403817, -0.014644273525305293, 0.2462443102566475] |
711.39 | On Translational Superfluidity and the Landau Criterion for Trapped Bose
gases in the Gross-Pitaevski Limit | The two-fluid and Landau criteria for superfluidity are compared for trapped
Bose gases. While the two-fluid criterion predicts translational superfluidity,
it is suggested, on the basis of the homogeneous Gross-Pitaevski limit, that a
necessary part of Landau's criterion, adequate for non-translationally
invariant systems, d oes not hold for trapped Bose gases in the GP limit. As a
consequence, if the compressibility is detected to be very large (infinite by
experimental standards) the two-fluid criterion is seen to be the relevant one
in case the system is a tranlational superfluid, while the Landau criterion is
the relevant one if translational superfluidity is absent.
| cond-mat.supr-con cond-mat.stat-mech | the twofluid and landau criteria for superfluidity are compared for trapped bose gases while the twofluid criterion predicts translational superfluidity it is suggested on the basis of the homogeneous grosspitaevski limit that a necessary part of landaus criterion adequate for nontranslationally invariant systems d oes not hold for trapped bose gases in the gp limit as a consequence if the compressibility is detected to be very large infinite by experimental standards the twofluid criterion is seen to be the relevant one in case the system is a tranlational superfluid while the landau criterion is the relevant one if translational superfluidity is absent | [['the', 'twofluid', 'and', 'landau', 'criteria', 'for', 'superfluidity', 'are', 'compared', 'for', 'trapped', 'bose', 'gases', 'while', 'the', 'twofluid', 'criterion', 'predicts', 'translational', 'superfluidity', 'it', 'is', 'suggested', 'on', 'the', 'basis', 'of', 'the', 'homogeneous', 'grosspitaevski', 'limit', 'that', 'a', 'necessary', 'part', 'of', 'landaus', 'criterion', 'adequate', 'for', 'nontranslationally', 'invariant', 'systems', 'd', 'oes', 'not', 'hold', 'for', 'trapped', 'bose', 'gases', 'in', 'the', 'gp', 'limit', 'as', 'a', 'consequence', 'if', 'the', 'compressibility', 'is', 'detected', 'to', 'be', 'very', 'large', 'infinite', 'by', 'experimental', 'standards', 'the', 'twofluid', 'criterion', 'is', 'seen', 'to', 'be', 'the', 'relevant', 'one', 'in', 'case', 'the', 'system', 'is', 'a', 'tranlational', 'superfluid', 'while', 'the', 'landau', 'criterion', 'is', 'the', 'relevant', 'one', 'if', 'translational', 'superfluidity', 'is', 'absent']] | [-0.13927136750106572, 0.19527152492025612, -0.10383699401555692, 0.13695660490752654, -0.01971047426409581, -0.2128771820206049, 0.022299163844710326, 0.26517722162180674, -0.1976857712702351, -0.20244820027922591, 0.07091568475908727, -0.2335084339366386, -0.06314762511893231, 0.1680342602662231, 0.010291542307765899, 0.08243198109010015, 0.017103234536525812, 0.033286789402493515, -0.036122885770073124, -0.26007891081127466, 0.3108892435774061, 0.0423137309388075, 0.32575496788794067, 0.09067841506490082, 0.06474785024600387, -0.032486413717361204, 0.06586461281403899, 0.020651670775431043, -0.1562464677609016, -0.009786699524185821, 0.281340186721554, 0.01528024285867372, 0.22264126837070958, -0.3766289534887262, -0.2396585687209724, 0.07775579727546987, 0.16603913207027113, 0.17550540074030413, 0.02796605125973549, -0.2771298992652994, 0.008977013242924037, -0.1997298722283221, -0.21718066694744514, -0.1390466466180834, 0.052834531657543836, -0.01940732196831674, -0.2625410771043058, 0.16042580450976304, 0.1502269860357046, 0.1031411186444993, -0.11830866453922628, -0.06721999923876651, -0.014907105131914802, 0.03256211283288019, -0.0011959362720303675, 0.029738364196793342, 0.11024246833688926, -0.16412008686137258, -0.008621851584928878, 0.5031827364993446, -0.08633637030873739, -0.2123583854340455, 0.22543553765874594, -0.149844840557004, -0.09175390410967463, 0.16156516131470164, 0.059331806796584646, 0.06634700783829697, -0.12757970890322445, 0.05288912795938314, -0.12973949534923532, 0.13073873189597518, 0.05941679643229673, 0.03402809376654891, 0.2639737101545667, 0.1877792291251906, 0.05423617490119867, 0.10722063408534535, -0.07394722766156181, -0.09185911598158818, -0.31697898952281284, -0.17538661150919163, -0.23444469262590156, -0.003778821530645741, 0.014947072625777675, -0.1368814134084638, 0.2918084200360931, 0.12243451661996398, 0.1365656571407967, -0.013008969911264585, 0.26240166968793843, 0.17473737597145944, 0.049850447549318895, 0.04341441809254534, 0.2720647814190563, 0.17700916614757814, 0.05561918210165173, -0.2519311564517956, 0.03201853113212422, 0.13386494637120003] |
711.3901 | Improving the reliability of material databases using multiscale
approaches | This article addresses the propagation of constitutive uncertainties between
scales occurring in the multiscale modelling of fibre-reinforced composites.
The amplification of such uncertainties through upward or downward transitions
by a homogenisation model is emphasized and exemplified with the Mori-Tanaka
model. In particular, the sensitivity to data uncertainty in the inverse
determination of constituent parameters based on downward transitions is
stressed on an example. Then a database improvement method, which exploits
simultaneously the available information on constitutive uncertainties at all
scales instead of just propagating those associated with one scale, is
presented and shown to yield substantial reductions in uncertainty for both the
constitutive parameters and the response of structures. The latter finding is
demonstrated on two examples of structures, with significant gains in
confidence obtained on both.
| physics.class-ph | this article addresses the propagation of constitutive uncertainties between scales occurring in the multiscale modelling of fibrereinforced composites the amplification of such uncertainties through upward or downward transitions by a homogenisation model is emphasized and exemplified with the moritanaka model in particular the sensitivity to data uncertainty in the inverse determination of constituent parameters based on downward transitions is stressed on an example then a database improvement method which exploits simultaneously the available information on constitutive uncertainties at all scales instead of just propagating those associated with one scale is presented and shown to yield substantial reductions in uncertainty for both the constitutive parameters and the response of structures the latter finding is demonstrated on two examples of structures with significant gains in confidence obtained on both | [['this', 'article', 'addresses', 'the', 'propagation', 'of', 'constitutive', 'uncertainties', 'between', 'scales', 'occurring', 'in', 'the', 'multiscale', 'modelling', 'of', 'fibrereinforced', 'composites', 'the', 'amplification', 'of', 'such', 'uncertainties', 'through', 'upward', 'or', 'downward', 'transitions', 'by', 'a', 'homogenisation', 'model', 'is', 'emphasized', 'and', 'exemplified', 'with', 'the', 'moritanaka', 'model', 'in', 'particular', 'the', 'sensitivity', 'to', 'data', 'uncertainty', 'in', 'the', 'inverse', 'determination', 'of', 'constituent', 'parameters', 'based', 'on', 'downward', 'transitions', 'is', 'stressed', 'on', 'an', 'example', 'then', 'a', 'database', 'improvement', 'method', 'which', 'exploits', 'simultaneously', 'the', 'available', 'information', 'on', 'constitutive', 'uncertainties', 'at', 'all', 'scales', 'instead', 'of', 'just', 'propagating', 'those', 'associated', 'with', 'one', 'scale', 'is', 'presented', 'and', 'shown', 'to', 'yield', 'substantial', 'reductions', 'in', 'uncertainty', 'for', 'both', 'the', 'constitutive', 'parameters', 'and', 'the', 'response', 'of', 'structures', 'the', 'latter', 'finding', 'is', 'demonstrated', 'on', 'two', 'examples', 'of', 'structures', 'with', 'significant', 'gains', 'in', 'confidence', 'obtained', 'on', 'both']] | [-0.0889802355544759, 0.11138022129387709, -0.03129597172493071, 0.04433340681478469, -0.0588767471737925, -0.05885441976922058, 0.03516610216452029, 0.3777628496699915, -0.2759093311285292, -0.33956703420464446, 0.10484297298569614, -0.28917442870832333, -0.11974381167243608, 0.22552870959960158, -0.028497628733794404, 0.07289866365741675, 0.06702962336973764, 0.009031924499770787, -0.0719433507009402, -0.16313585844422565, 0.28876008796615626, 0.07468447754504233, 0.3178484428776648, 0.03463986590797976, 0.12926930978831902, -0.024248412516936074, -0.08094883596847259, 0.047667607489063984, -0.10386978403305797, 0.14389858215746623, 0.22145485388129715, 0.062256597251975986, 0.23655199711981018, -0.4041031946347454, -0.26206440536862635, 0.03997740542560112, 0.10714601253812003, 0.09600012793341343, -0.010849066398575843, -0.26669398813295786, 0.02206604828687722, -0.13026706199711702, -0.07922739134808107, -0.04337348296732356, 0.02380213286639668, 0.020796570479576514, -0.2748313754738316, 0.09969187964956591, 0.06248113440027035, 0.07237078741882143, -0.054849991010223316, -0.1402104607431262, -0.03225210626191628, 0.09259389920376047, 0.08644960608194018, -0.037354345551662615, 0.11337879852677776, -0.13496049439101884, -0.08987620281189401, 0.4163452926436512, -0.05212353640987619, -0.20902414272693315, 0.1465052902482186, -0.11260468666473822, -0.12796355666607384, 0.14209008689485783, 0.19609240430781222, 0.05621568976322145, -0.15793589529706034, 0.03138487034809123, 0.019985860173304483, 0.19354448290211773, 0.04802499570027654, -0.0028041781468947573, 0.16832913807409955, 0.2284852342559098, 0.012508725960130297, 0.11016021220666158, -0.07485455502600108, -0.11623902730442084, -0.3308913825358462, -0.09961415206698158, -0.1264952257079417, -0.015720724472849387, -0.09850950051416683, -0.15752172897323255, 0.3807246070941837, 0.18445493587417397, 0.20124453337364426, 0.042308076753237056, 0.2891225945021165, 0.1060992956443829, 0.08105842087887169, 0.06687111666015401, 0.28317470738561606, 0.1336600333323893, 0.05271301015214188, -0.20986892576659405, 0.10088329161260659, 0.0287029836546835] |
711.3902 | The glueball among the light scalar mesons | The lightest gluonic meson is expected with J^{PC}=0^{++}, calculations in
full QCD point towards a mass of around 1 GeV. The interpretation of the scalar
meson spectrum is hindered as some states are rather broad. In a largely
model-independent analysis of pi+ pi- \to pi+ pi-, pi0 pi0 scattering in the
region 600-1800 MeV a unique solution for the isoscalar S-wave is obtained. The
resonances f_0(980), f_0(1500) and the broad f_0(600) or ``sigma'' are clearly
identified whereas f_0(1370) is not seen at the level B(f_0(1370)\to pi
pi)\gtrsim 10%. Arguments for the broad state to be a glueball are recalled. We
see no contradiction with the reported large B(sigma \to gamma gamma) and
propose some further experimental tests.
| hep-ph hep-ex | the lightest gluonic meson is expected with jpc0 calculations in full qcd point towards a mass of around 1 gev the interpretation of the scalar meson spectrum is hindered as some states are rather broad in a largely modelindependent analysis of pi pi to pi pi pi0 pi0 scattering in the region 6001800 mev a unique solution for the isoscalar swave is obtained the resonances f_0980 f_01500 and the broad f_0600 or sigma are clearly identified whereas f_01370 is not seen at the level bf_01370to pi pigtrsim 10 arguments for the broad state to be a glueball are recalled we see no contradiction with the reported large bsigma to gamma gamma and propose some further experimental tests | [['the', 'lightest', 'gluonic', 'meson', 'is', 'expected', 'with', 'jpc0', 'calculations', 'in', 'full', 'qcd', 'point', 'towards', 'a', 'mass', 'of', 'around', '1', 'gev', 'the', 'interpretation', 'of', 'the', 'scalar', 'meson', 'spectrum', 'is', 'hindered', 'as', 'some', 'states', 'are', 'rather', 'broad', 'in', 'a', 'largely', 'modelindependent', 'analysis', 'of', 'pi', 'pi', 'to', 'pi', 'pi', 'pi0', 'pi0', 'scattering', 'in', 'the', 'region', '6001800', 'mev', 'a', 'unique', 'solution', 'for', 'the', 'isoscalar', 'swave', 'is', 'obtained', 'the', 'resonances', 'f_0980', 'f_01500', 'and', 'the', 'broad', 'f_0600', 'or', 'sigma', 'are', 'clearly', 'identified', 'whereas', 'f_01370', 'is', 'not', 'seen', 'at', 'the', 'level', 'bf_01370to', 'pi', 'pigtrsim', '10', 'arguments', 'for', 'the', 'broad', 'state', 'to', 'be', 'a', 'glueball', 'are', 'recalled', 'we', 'see', 'no', 'contradiction', 'with', 'the', 'reported', 'large', 'bsigma', 'to', 'gamma', 'gamma', 'and', 'propose', 'some', 'further', 'experimental', 'tests']] | [-0.11064531181105658, 0.23144788694723198, -0.11446248163599848, 0.1396671273345291, -0.08043663649285711, -0.15604453053521483, 0.09657089310910619, 0.34474739786278324, -0.17456547879989734, -0.2096505935463172, -0.043924926898111345, -0.34853047116153074, -0.02262651916029618, 0.11614992291862636, 0.09502791376251066, 0.10065021015001102, 0.06108858910993787, 0.08078269853272982, -0.04479034951267143, -0.09751372770488001, 0.3088036865249211, -0.0038039031777563586, 0.16260299048174107, 0.1480247082490997, -0.07611759866408088, -0.027449590619653463, -0.010134031787808789, -0.10524642486288621, -0.12939785949869506, 0.04177497833989675, 0.298257910803761, 0.06757057332352065, 0.1427224113630425, -0.27333924456973346, -0.1341232511831709, 0.12506388138628385, 0.2014144592991981, 0.07299348539182622, -0.00831048556995627, -0.3782681851982744, 0.1701631164596939, -0.1551976769860311, -0.1590610201421537, -0.09796398313278985, 0.02914740047172496, -0.12912338481104949, -0.28852027206550956, 0.09104866103530583, -0.03457979682073193, 0.06904656280861227, -0.05004102004877815, -0.29210005160992997, -0.015498519111261294, -0.008673836728312859, 0.13176951010143712, 0.1251817719141336, 0.15759817851102798, -0.15103445300554627, -0.13051371032825523, 0.40896553608278435, -0.04206012092018092, -0.1859619484462759, 0.12502442537643538, -0.18546316462666973, -0.13972722139748694, 0.22139618746433898, 0.09867466388580699, 0.06284907235960036, -0.13273023244549045, 0.10918602266802306, -0.06798908283337624, 0.22591343339611245, 0.08143703475708894, 0.06824316471925397, 0.21010442731264783, 0.1629169542881611, -0.038432469526142404, 0.03299459559217978, -0.08703582799225523, -0.08312729468340413, -0.38749961769657637, -0.10824249875159901, -0.11013969812101047, 0.09980776961170354, -0.03309960699647363, -0.09102908380558355, 0.3485463009820434, 0.006631779990959586, 0.2950960447962739, -0.0015278049589445193, 0.2884782757283303, 0.13932678152770295, 0.04414441831932779, 0.07541012262778454, 0.32392781329792597, 0.20021491640721234, 0.13596089682623483, -0.23247274441089025, -0.007642831061068073, -0.04229350087821091] |
711.3903 | Decoupling and coherent plasma oscillations around last scattering | Coherent properties of the baryon-photon fluid decoupling are considered in
the terms of an effective nonlinear Schr\"{o}dinger equation for a macroscopic
wave function that specifies the index of the coherent state. Generation of a
transitional acoustic turbulence preceding formation of large-scale condensate
in the plasma and its influence on the CMB power spectrum has been studied. A
scaling $k^{-1}$ law is derived for the CMB Doppler spectrum $E(k)$
(angle-averaged) in the {\it wavenumber} space, for sufficiently large
wavenumber $k$ and for the weak nonlinear and completely disordered initial
conditions. Using the recent WMAP data it is shown that the so-called first
acoustic peak represents (in a compensated spectral form) a pre-condensate
fraction of the spectrum $E(k)$ at a rather advance stage of the condensate
formation process.
| astro-ph nlin.CD physics.plasm-ph | coherent properties of the baryonphoton fluid decoupling are considered in the terms of an effective nonlinear schrodinger equation for a macroscopic wave function that specifies the index of the coherent state generation of a transitional acoustic turbulence preceding formation of largescale condensate in the plasma and its influence on the cmb power spectrum has been studied a scaling k1 law is derived for the cmb doppler spectrum ek angleaveraged in the it wavenumber space for sufficiently large wavenumber k and for the weak nonlinear and completely disordered initial conditions using the recent wmap data it is shown that the socalled first acoustic peak represents in a compensated spectral form a precondensate fraction of the spectrum ek at a rather advance stage of the condensate formation process | [['coherent', 'properties', 'of', 'the', 'baryonphoton', 'fluid', 'decoupling', 'are', 'considered', 'in', 'the', 'terms', 'of', 'an', 'effective', 'nonlinear', 'schrodinger', 'equation', 'for', 'a', 'macroscopic', 'wave', 'function', 'that', 'specifies', 'the', 'index', 'of', 'the', 'coherent', 'state', 'generation', 'of', 'a', 'transitional', 'acoustic', 'turbulence', 'preceding', 'formation', 'of', 'largescale', 'condensate', 'in', 'the', 'plasma', 'and', 'its', 'influence', 'on', 'the', 'cmb', 'power', 'spectrum', 'has', 'been', 'studied', 'a', 'scaling', 'k1', 'law', 'is', 'derived', 'for', 'the', 'cmb', 'doppler', 'spectrum', 'ek', 'angleaveraged', 'in', 'the', 'it', 'wavenumber', 'space', 'for', 'sufficiently', 'large', 'wavenumber', 'k', 'and', 'for', 'the', 'weak', 'nonlinear', 'and', 'completely', 'disordered', 'initial', 'conditions', 'using', 'the', 'recent', 'wmap', 'data', 'it', 'is', 'shown', 'that', 'the', 'socalled', 'first', 'acoustic', 'peak', 'represents', 'in', 'a', 'compensated', 'spectral', 'form', 'a', 'precondensate', 'fraction', 'of', 'the', 'spectrum', 'ek', 'at', 'a', 'rather', 'advance', 'stage', 'of', 'the', 'condensate', 'formation', 'process']] | [-0.18161602213420713, 0.1708680594471396, -0.09483617836124882, 0.0647906049433524, -0.06705884620480772, -0.055914151471196896, -0.03244421093739451, 0.30069339942807954, -0.2638567807374611, -0.23528813623217126, 0.06295769515499058, -0.2736840586280561, -0.08287773658484517, 0.20621993032003205, 0.05157762255135273, 0.07056597398459127, 0.015159485307300375, 0.04134696107801227, -0.0021166238926410203, -0.16983056095029628, 0.33294915079715703, 0.09593737469099108, 0.3104497259538177, 0.009668668565739478, 0.08872267731838668, -0.04202323769485312, -0.016783165974572065, 0.004479046746310483, -0.14790167472055477, 0.047439414220640345, 0.20822828416139744, 0.08611363856609733, 0.24403560742558467, -0.38786890839655247, -0.2924040372950941, 0.08746194231346072, 0.15269669999473817, 0.11676133259953488, -0.0482603343885525, -0.2387121371806614, 0.05685335880012384, -0.16165590404702854, -0.14068220380604976, -0.02947976129750411, 0.07462588091573072, 0.00512810074724257, -0.2959227457066022, 0.14752969676919747, 0.07177978225000617, 0.02072937260307963, -0.10197828509493746, -0.06644002213290641, -0.0549266322997273, 0.06006444624758193, -0.001071746416513749, 0.02603962126794079, 0.08838511395059334, -0.1662491908415206, -0.009059272515254893, 0.40134373565189657, -0.12013738525713542, -0.11608289252404892, 0.1089595665042806, -0.1840231428698947, -0.09803639342712742, 0.15711948364078704, 0.144377962316549, 0.08808691866284962, -0.09674795108684708, 0.09050148483670671, -0.02107294260823105, 0.18014205588648716, 0.08187324879321432, 0.04117693874009308, 0.23460993305262592, 0.15399505264894475, 0.05999015125312975, 0.12113202704229421, -0.10138301884511575, -0.0420312183790855, -0.2875783895511949, -0.0870969150407565, -0.2400687834255338, 0.05641558819802918, -0.10091826226897187, -0.17802608348424584, 0.4149727155990337, 0.07167923289705955, 0.209933038704866, 0.01799398791303651, 0.31551128908223103, 0.1879278529788338, 0.020554190819403007, 0.0636994538326112, 0.2892815807006425, 0.1710331678992906, 0.16301638827130702, -0.26223017408009913, 0.020363830995472475, 0.046595049341992725] |
711.3904 | Ab initio prediction on ferrotoroidic olivine Li4MnFeCoNiP4O16 | First-principles calculation predict that olivine Li4MnFeCoNiP4O16 has
ferrotoroidic characteristic and ferrimagnetic configuration with magnetic
moment of 1.56 \muB per formula unit. The ferrotoroidicity of this material
makes it a potential candidate for magnetoelectric materials . Based on the
orbital-resolved density of states for the transtion-metal ions in
Li4MnFeCoNiP4O16, the spin configuration for Mn2+,Fe3+,Co2+, and Ni2+ is
t2g3eg2, t2g3eg2,t2g1t2g3eg1eg2, and t2g2t2g3eg1eg2, respectively. Density
functional theory plus U (DFT+U) shows a indirect band gap of 1.25 eV in this
predicted material, which is not simply related to the electronic conductivity
in terms of being used as cathode material in rechargeable Li-ion batteries.
| cond-mat.mtrl-sci cond-mat.str-el | firstprinciples calculation predict that olivine li4mnfeconip4o16 has ferrotoroidic characteristic and ferrimagnetic configuration with magnetic moment of 156 mub per formula unit the ferrotoroidicity of this material makes it a potential candidate for magnetoelectric materials based on the orbitalresolved density of states for the transtionmetal ions in li4mnfeconip4o16 the spin configuration for mn2fe3co2 and ni2 is t2g3eg2 t2g3eg2t2g1t2g3eg1eg2 and t2g2t2g3eg1eg2 respectively density functional theory plus u dftu shows a indirect band gap of 125 ev in this predicted material which is not simply related to the electronic conductivity in terms of being used as cathode material in rechargeable liion batteries | [['firstprinciples', 'calculation', 'predict', 'that', 'olivine', 'li4mnfeconip4o16', 'has', 'ferrotoroidic', 'characteristic', 'and', 'ferrimagnetic', 'configuration', 'with', 'magnetic', 'moment', 'of', '156', 'mub', 'per', 'formula', 'unit', 'the', 'ferrotoroidicity', 'of', 'this', 'material', 'makes', 'it', 'a', 'potential', 'candidate', 'for', 'magnetoelectric', 'materials', 'based', 'on', 'the', 'orbitalresolved', 'density', 'of', 'states', 'for', 'the', 'transtionmetal', 'ions', 'in', 'li4mnfeconip4o16', 'the', 'spin', 'configuration', 'for', 'mn2fe3co2', 'and', 'ni2', 'is', 't2g3eg2', 't2g3eg2t2g1t2g3eg1eg2', 'and', 't2g2t2g3eg1eg2', 'respectively', 'density', 'functional', 'theory', 'plus', 'u', 'dftu', 'shows', 'a', 'indirect', 'band', 'gap', 'of', '125', 'ev', 'in', 'this', 'predicted', 'material', 'which', 'is', 'not', 'simply', 'related', 'to', 'the', 'electronic', 'conductivity', 'in', 'terms', 'of', 'being', 'used', 'as', 'cathode', 'material', 'in', 'rechargeable', 'liion', 'batteries']] | [-0.11671368029111853, 0.13863315200049348, 0.004129281712716425, -0.006435052713041531, -0.02209701520073545, -0.14204368426126765, 0.10855341274073797, 0.4004913629697902, -0.24814630775702196, -0.342377828996997, -0.008943987994935813, -0.3515001837123226, -0.08920199282794863, 0.13905502710962198, 0.012338785380432074, 0.0077969272682381855, -0.028105944108504515, 0.018492075276898813, -0.09930204331700863, -0.15375255386263215, 0.220169862399676, 0.05999749678872771, 0.2587203970383648, 0.1378733314737514, 0.04136751031318864, -0.011031312888467705, 0.13966945598124536, 0.006487871300183482, -0.13111424475057873, 0.13133136505596238, 0.28342927604975116, -0.07135455766283386, 0.2056605540993777, -0.4476995021514185, -0.21700798728308834, -0.003307896185216013, 0.05960014634407484, 0.09544062129718221, -0.08827432680614088, -0.22072091278527955, 0.10344979819422076, -0.2095222931590627, -0.11763200295863899, -0.09230641248011655, 0.037112302832551056, 0.007373805183426037, -0.2568829452905517, 0.11642663521119036, -0.005044208188377484, 0.05302251752460846, -0.19233704556373285, -0.23241421538481877, -0.09460020405598558, -0.0016536688723775383, 0.06024374989383332, 0.07512684121400445, 0.17605291675919524, -0.08629849728114986, -0.08678246844191473, 0.4138050670684366, -0.04672685275775391, -0.10970276721835054, 0.11129012685217946, -0.15208593477715052, -0.07980641385970208, 0.16150446440819854, 0.07785773402908919, 0.11052528758031818, -0.15278073733897654, 0.09502834423283975, 0.008052486909366632, 0.2012573560702379, 0.00414852111262607, 0.07664423839414267, 0.238205888318819, 0.19610707072930023, 0.06124065757043414, 0.11275052561700999, -0.13321428684707076, -0.01801324726061916, -0.22081141809902186, -0.26736109998527463, -0.2675351774918714, 0.06177869623166811, -0.061341326145978474, -0.22876639946640193, 0.4041633067427428, 0.11291410339673838, 0.10915134370245122, -0.09048422426497052, 0.2191325552444291, 0.0965369129950017, 0.09069670232238022, 0.022300843773716755, 0.2564663850487425, 0.20847676595120312, 0.13129304481445106, -0.23161743924656247, 0.11262410131006778, 0.03325803274196665] |
711.3905 | Some Sharp L^2 Inequalities for Dirac Type Operators | We use the spectra of Dirac type operators on the sphere $S^{n}$ to produce
sharp $L^{2}$ inequalities on the sphere. These operators include the Dirac
operator on $S^{n}$, the conformal Laplacian and Paenitz operator. We use the
Cayley transform, or stereographic projection, to obtain similar inequalities
for powers of the Dirac operator and their inverses in $\mathbb{R}^{n}$.
| math-ph math.DG math.MP | we use the spectra of dirac type operators on the sphere sn to produce sharp l2 inequalities on the sphere these operators include the dirac operator on sn the conformal laplacian and paenitz operator we use the cayley transform or stereographic projection to obtain similar inequalities for powers of the dirac operator and their inverses in mathbbrn | [['we', 'use', 'the', 'spectra', 'of', 'dirac', 'type', 'operators', 'on', 'the', 'sphere', 'sn', 'to', 'produce', 'sharp', 'l2', 'inequalities', 'on', 'the', 'sphere', 'these', 'operators', 'include', 'the', 'dirac', 'operator', 'on', 'sn', 'the', 'conformal', 'laplacian', 'and', 'paenitz', 'operator', 'we', 'use', 'the', 'cayley', 'transform', 'or', 'stereographic', 'projection', 'to', 'obtain', 'similar', 'inequalities', 'for', 'powers', 'of', 'the', 'dirac', 'operator', 'and', 'their', 'inverses', 'in', 'mathbbrn']] | [-0.0618835293030965, 0.06487581717582154, -0.0264487358342324, 0.12285940904569413, -0.14971278768332144, -0.1192321987057637, 0.011048834421671927, 0.3840962990320155, -0.26534927390249713, -0.16727004715773677, 0.14462006037813677, -0.4148015019350818, -0.1491675637205065, 0.17373054346119585, -0.05249126591453595, 0.08807106302785021, 0.056421018804290464, 0.0654106664005667, -0.21210346933055138, -0.22029022110759147, 0.4393188283512635, -0.04430535272695124, 0.1843557613402871, 0.04622913608493816, 0.0550622926883599, 0.0027909407009636717, -0.008701874608440059, -0.10770454695531433, -0.14497841436033404, 0.15358275892296142, 0.1468810848891735, 0.06638233264675364, 0.15882113555978453, -0.47485071134620477, -0.16083511286082544, 0.16774234992252396, 0.1391239443494539, -0.05640040213308696, -0.02971942698059138, -0.34864028955676724, 0.02499797646721293, -0.06546387219402407, -0.1845894152065739, -0.09408607694786042, -0.059406115972836106, 0.0006893572863191366, -0.26360217528417706, 0.10552319164188313, 0.10726993145155055, 0.02192735713158202, -0.10485929047821888, -0.13239290627617656, -0.02336486000733982, 0.03763423719127396, -0.026688802455152785, -0.032979759161077836, 0.06967366288881749, -0.001726441883615085, -0.08278120987649475, 0.36636171862483025, -0.0540596453606018, -0.28320728920932325, 0.11045022298847991, -0.21109799532652168, -0.07957178291897955, 0.013848210186032313, 0.1735839872521215, 0.1563135568285361, -0.07116184028148252, 0.17749818786770838, -0.052093481861187944, 0.031329864070617726, 0.1155735514060195, 0.07620905747171491, 0.08969101506019277, -0.020213345564635738, 0.1918957503013579, 0.10174119838380388, -0.07724296964754883, -0.018974382758772532, -0.3404780511212136, -0.2006909972988069, -0.24846422279785788, 0.13242899571611946, -0.19747549746898585, -0.21851751022040844, 0.42536497585076305, 0.05129501524035212, 0.20459256899942244, 0.05155232478864491, 0.17771459091454744, 0.1924940342515973, 0.1323677827562538, 0.05518221228183912, 0.18745946558192372, 0.23916770348192326, 0.14993123691653767, -0.20085122072902908, -0.10003712868118393, 0.2853783177311665] |
711.3906 | Low energy properties of non-perturbative quantum systems: a space
reduction approach | We propose and test a renormalization procedure which acts in Hilbert space.
We test its efficiency on strongly correlated quantum spin systems by working
out and analyzing the low-energy spectral properties of frustrated quantum spin
systems in different parts of the phase diagram and in the neighbourhood of
quantum critical points.
| quant-ph cond-mat.str-el nucl-th physics.atm-clus | we propose and test a renormalization procedure which acts in hilbert space we test its efficiency on strongly correlated quantum spin systems by working out and analyzing the lowenergy spectral properties of frustrated quantum spin systems in different parts of the phase diagram and in the neighbourhood of quantum critical points | [['we', 'propose', 'and', 'test', 'a', 'renormalization', 'procedure', 'which', 'acts', 'in', 'hilbert', 'space', 'we', 'test', 'its', 'efficiency', 'on', 'strongly', 'correlated', 'quantum', 'spin', 'systems', 'by', 'working', 'out', 'and', 'analyzing', 'the', 'lowenergy', 'spectral', 'properties', 'of', 'frustrated', 'quantum', 'spin', 'systems', 'in', 'different', 'parts', 'of', 'the', 'phase', 'diagram', 'and', 'in', 'the', 'neighbourhood', 'of', 'quantum', 'critical', 'points']] | [-0.18008686368371926, 0.18880417110288844, -0.10205965894548331, 0.03985753018116834, -4.379717888785344e-05, -0.1254542096171017, 0.09762779819578224, 0.35308757183306355, -0.229269835075327, -0.2501444487522046, 0.05073035076744489, -0.2709168129755805, -0.15275873394463868, 0.22371414212473467, -0.005292220022894588, 0.08526493915626049, 0.007394459719459216, 0.013601426144733149, -0.14530879051844572, -0.2384179882413032, 0.354593467989973, 0.03460711087602392, 0.28359563614460914, 0.017100381135356193, 0.0885752202102951, 0.06321192659693313, 0.02112312711702258, 0.02834594687024661, -0.12325908523052931, 0.0771469567975431, 0.25332247219322357, 0.03944949976479014, 0.1981317700416434, -0.38222554092313726, -0.19544573276139357, 0.07255549414777289, 0.13248873111225812, 0.07774787754797395, -0.020171744449922414, -0.30922449358245907, 0.014948041077849328, -0.15187745110369197, -0.12264791760118861, -0.133185882901136, -0.04658837873013873, -0.03374283304255383, -0.18225283210403195, 0.06358200024502973, 0.060611428659410424, 0.09503798920880346, -0.012427305846073317, -0.0526798055050712, -0.02560487510088612, 0.13268152093880026, -0.04012074217419414, -0.012163425585729819, 0.16327821948182056, -0.1458216896828483, -0.1411096416413784, 0.386893374078414, -0.020126859510235268, -0.16963772132408386, 0.20994802171309643, -0.16271290081717513, -0.14548471380098194, 0.05930509333334425, 0.17677281968587755, 0.14096796247815968, -0.1233454112000033, 0.1475310077920428, 0.009832549785428187, 0.16239016638228707, -0.03796201716085859, 0.09602205780353032, 0.2634667261120151, 0.16279483247804, 0.059329417095903086, 0.17778637771512948, -0.11022022341414556, -0.1941692673911651, -0.27963992763383716, -0.2022464596209865, -0.23193801398955138, 0.05841989347747728, -0.11271014348426879, -0.181224699497369, 0.4570173798220269, 0.16634992458948902, 0.19236346109605887, -0.08007885791833841, 0.23459586325813742, 0.12718713511804156, 0.02443717149835007, 0.061432731976988265, 0.2014869629661096, 0.14620479335551897, 0.05280471424225206, -0.3005942502675359, -0.027013596740788688, 0.10634437457238342] |
711.3907 | Weighted Projective Lines Associated to Regular Systems of Weights of
Dual Type | We associate to a regular system of weights a weighted projective line over
an algebraically closed field of characteristic zero in two different ways. One
is defined as a quotient stack via a hypersurface singularity for a regular
system of weights and the other is defined via the signature of the same
regular system of weights.
The main result in this paper is that if a regular system of weights is of
dual type then these two weighted projective lines have equivalent abelian
categories of coherent sheaves. As a corollary, we can show that the
triangulated categories of the graded singularity associated to a regular
system of weights has a full exceptional collection, which is expected from
homological mirror symmetries.
Main theorem of this paper will be generalized to more general one, to the
case when a regular system of weights is of genus zero, which will be given in
the joint paper with Kajiura and Saito. Since we need more detailed study of
regular systems of weights and some knowledge of algebraic geometry of
Deligne--Mumford stacks there, the author write a part of the result in this
paper to which another simple proof based on the idea by Geigle--Lenzing can be
applied.
| math.AG | we associate to a regular system of weights a weighted projective line over an algebraically closed field of characteristic zero in two different ways one is defined as a quotient stack via a hypersurface singularity for a regular system of weights and the other is defined via the signature of the same regular system of weights the main result in this paper is that if a regular system of weights is of dual type then these two weighted projective lines have equivalent abelian categories of coherent sheaves as a corollary we can show that the triangulated categories of the graded singularity associated to a regular system of weights has a full exceptional collection which is expected from homological mirror symmetries main theorem of this paper will be generalized to more general one to the case when a regular system of weights is of genus zero which will be given in the joint paper with kajiura and saito since we need more detailed study of regular systems of weights and some knowledge of algebraic geometry of delignemumford stacks there the author write a part of the result in this paper to which another simple proof based on the idea by geiglelenzing can be applied | [['we', 'associate', 'to', 'a', 'regular', 'system', 'of', 'weights', 'a', 'weighted', 'projective', 'line', 'over', 'an', 'algebraically', 'closed', 'field', 'of', 'characteristic', 'zero', 'in', 'two', 'different', 'ways', 'one', 'is', 'defined', 'as', 'a', 'quotient', 'stack', 'via', 'a', 'hypersurface', 'singularity', 'for', 'a', 'regular', 'system', 'of', 'weights', 'and', 'the', 'other', 'is', 'defined', 'via', 'the', 'signature', 'of', 'the', 'same', 'regular', 'system', 'of', 'weights', 'the', 'main', 'result', 'in', 'this', 'paper', 'is', 'that', 'if', 'a', 'regular', 'system', 'of', 'weights', 'is', 'of', 'dual', 'type', 'then', 'these', 'two', 'weighted', 'projective', 'lines', 'have', 'equivalent', 'abelian', 'categories', 'of', 'coherent', 'sheaves', 'as', 'a', 'corollary', 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