Asymptotics of Selberg-like integrals by lattice path counting
Mathematical Physics
2011-11-23 v1 math.MP
Chaotic Dynamics
Abstract
We obtain explicit expressions for positive integer moments of the probability density of eigenvalues of the Jacobi and Laguerre random matrix ensembles, in the asymptotic regime of large dimension. These densities are closely related to the Selberg and Selberg-like multidimensional integrals. Our method of solution is combinatorial: it consists in the enumeration of certain classes of lattice paths associated to the solution of recurrence relations.
Keywords
Cite
@article{arxiv.1111.5181,
title = {Asymptotics of Selberg-like integrals by lattice path counting},
author = {Marcel Novaes},
journal= {arXiv preprint arXiv:1111.5181},
year = {2011}
}