dc.date.accessioned | 2018-09-13T23:25:45Z | |
dc.date.available | 2018-09-13T23:25:45Z | |
dc.date.created | 2018-09-13T23:25:45Z | |
dc.date.issued | 2015 | |
dc.identifier | http://hdl.handle.net/10533/220470 | |
dc.identifier | 1131098 | |
dc.identifier | WOS:000381051800004 | |
dc.description.abstract | We study a new Selberg-type integral with n+m indeterminates, which turns out to be related to the deformed Calogero-Sutherland systems. We show that the integral satisfies a holonomic system of n + m non-symmetric linear partial differential equations. We also prove that a particular hypergeometric function defined in terms of super-Jack polynomials is the unique solution of the system. Some properties such as duality relations, integral formulas, Pfaff-Euler and Kummer transformations are also established. As a direct application, we evaluate the expectation value of ratios of characteristic polynomials in the classical beta-ensembles of Random Matrix Theory. Keywords. Author Keywords:Selberg integrals; super-Jack polynomials; multivariate hypergeometric function; beta-ensembles | |
dc.language | eng | |
dc.relation | https://www.worldscientific.com/doi/abs/10.1142/S2010326315500070?src=recsys | |
dc.relation | 10.1142/S2010326315500070 | |
dc.relation | info:eu-repo/grantAgreement//1131098 | |
dc.relation | info:eu-repo/semantics/dataset/hdl.handle.net/10533/93477 | |
dc.relation | instname: Conicyt | |
dc.relation | reponame: Repositorio Digital RI2.0 | |
dc.rights | http://creativecommons.org/licenses/by-nc-nd/3.0/cl/ | |
dc.rights | info:eu-repo/semantics/openAccess | |
dc.rights | info:eu-repo/semantics/openAccess | |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Chile | |
dc.title | Selberg integrals, super-hypergeometric functions and applications to beta-ensembles of random matrices | |
dc.type | Articulo | |