Matches in SemOpenAlex for { <https://semopenalex.org/work/W3211330101> ?p ?o ?g. }
- W3211330101 endingPage "115582" @default.
- W3211330101 startingPage "115582" @default.
- W3211330101 abstract "We show that the Riemannian Gaussian distributions on symmetric spaces, introduced in recent years, are of standard random matrix type. We exploit this to compute analytically marginals of the probability density functions. This can be done fully, using Stieltjes-Wigert orthogonal polynomials, for the case of the space of Hermitian matrices, where the distributions have already appeared in the physics literature. For the case when the symmetric space is the space of $m times m$ symmetric positive definite matrices, we show how to efficiently compute by evaluating Pfaffians at specific values of $m$. Equivalently, we can obtain the same result by constructing specific skew orthogonal polynomials with regards to the log-normal weight function (skew Stieltjes-Wigert polynomials). Other symmetric spaces are studied and the same type of result is obtained for the quaternionic case. Moreover, we show how the probability density functions are a particular case of diffusion reproducing kernels of the Karlin-McGregor type, describing non-intersecting Brownian motions, which are also diffusion processes in the Weyl chamber of Lie groups." @default.
- W3211330101 created "2021-11-08" @default.
- W3211330101 creator A5082850015 @default.
- W3211330101 creator A5089483267 @default.
- W3211330101 date "2021-12-01" @default.
- W3211330101 modified "2023-10-06" @default.
- W3211330101 title "Riemannian Gaussian distributions, random matrix ensembles and diffusion kernels" @default.
- W3211330101 cites W1528946541 @default.
- W3211330101 cites W1548670378 @default.
- W3211330101 cites W1811453145 @default.
- W3211330101 cites W1967632959 @default.
- W3211330101 cites W1974093332 @default.
- W3211330101 cites W1975293638 @default.
- W3211330101 cites W1977136767 @default.
- W3211330101 cites W1983496390 @default.
- W3211330101 cites W1988076732 @default.
- W3211330101 cites W1994675040 @default.
- W3211330101 cites W2006134199 @default.
- W3211330101 cites W2006515435 @default.
- W3211330101 cites W2007940102 @default.
- W3211330101 cites W2010631622 @default.
- W3211330101 cites W2016079975 @default.
- W3211330101 cites W2016277170 @default.
- W3211330101 cites W2017262657 @default.
- W3211330101 cites W2032236594 @default.
- W3211330101 cites W2038547964 @default.
- W3211330101 cites W2039456945 @default.
- W3211330101 cites W2047172692 @default.
- W3211330101 cites W2048192550 @default.
- W3211330101 cites W2059969954 @default.
- W3211330101 cites W2062327077 @default.
- W3211330101 cites W2079630523 @default.
- W3211330101 cites W2086555146 @default.
- W3211330101 cites W2089520361 @default.
- W3211330101 cites W2090589015 @default.
- W3211330101 cites W2096597330 @default.
- W3211330101 cites W2100396546 @default.
- W3211330101 cites W2100633843 @default.
- W3211330101 cites W2116022929 @default.
- W3211330101 cites W2119210976 @default.
- W3211330101 cites W2140729254 @default.
- W3211330101 cites W2610484685 @default.
- W3211330101 cites W2963167705 @default.
- W3211330101 cites W2963725005 @default.
- W3211330101 cites W2963856272 @default.
- W3211330101 cites W2964045128 @default.
- W3211330101 cites W3102819548 @default.
- W3211330101 cites W3102903233 @default.
- W3211330101 cites W3104298728 @default.
- W3211330101 cites W3104683248 @default.
- W3211330101 cites W3105254736 @default.
- W3211330101 cites W3106207050 @default.
- W3211330101 cites W4213367101 @default.
- W3211330101 cites W4248658188 @default.
- W3211330101 doi "https://doi.org/10.1016/j.nuclphysb.2021.115582" @default.
- W3211330101 hasPublicationYear "2021" @default.
- W3211330101 type Work @default.
- W3211330101 sameAs 3211330101 @default.
- W3211330101 citedByCount "4" @default.
- W3211330101 countsByYear W32113301012022 @default.
- W3211330101 countsByYear W32113301012023 @default.
- W3211330101 crossrefType "journal-article" @default.
- W3211330101 hasAuthorship W3211330101A5082850015 @default.
- W3211330101 hasAuthorship W3211330101A5089483267 @default.
- W3211330101 hasBestOaLocation W32113301011 @default.
- W3211330101 hasConcept C105795698 @default.
- W3211330101 hasConcept C10628310 @default.
- W3211330101 hasConcept C106487976 @default.
- W3211330101 hasConcept C112401455 @default.
- W3211330101 hasConcept C121332964 @default.
- W3211330101 hasConcept C134306372 @default.
- W3211330101 hasConcept C138885662 @default.
- W3211330101 hasConcept C149441793 @default.
- W3211330101 hasConcept C158693339 @default.
- W3211330101 hasConcept C159985019 @default.
- W3211330101 hasConcept C163716315 @default.
- W3211330101 hasConcept C18903297 @default.
- W3211330101 hasConcept C192562407 @default.
- W3211330101 hasConcept C197055811 @default.
- W3211330101 hasConcept C202444582 @default.
- W3211330101 hasConcept C2777299769 @default.
- W3211330101 hasConcept C2778572836 @default.
- W3211330101 hasConcept C33923547 @default.
- W3211330101 hasConcept C3746008 @default.
- W3211330101 hasConcept C41106240 @default.
- W3211330101 hasConcept C41895202 @default.
- W3211330101 hasConcept C49712288 @default.
- W3211330101 hasConcept C54848796 @default.
- W3211330101 hasConcept C62520636 @default.
- W3211330101 hasConcept C64812099 @default.
- W3211330101 hasConcept C69044650 @default.
- W3211330101 hasConcept C86803240 @default.
- W3211330101 hasConcept C94940 @default.
- W3211330101 hasConceptScore W3211330101C105795698 @default.
- W3211330101 hasConceptScore W3211330101C10628310 @default.
- W3211330101 hasConceptScore W3211330101C106487976 @default.
- W3211330101 hasConceptScore W3211330101C112401455 @default.
- W3211330101 hasConceptScore W3211330101C121332964 @default.