Buscar
Mostrando ítems 1-5 de 5
Scaling Limits of Correlations of Characteristic Polynomials for the Gaussian beta-Ensemble with External Source
(2015)
We study the averaged product of characteristic polynomials of large random matrices in the Gaussian beta-ensemble perturbed by an external source of finite rank. We prove that at the edge of the spectrum, the limiting ...
Selberg integrals, super-hypergeometric functions and applications to beta-ensembles of random matrices
(2015)
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 ...