On the spectral properties of a class of $H$-selfadjoint random matrices and the underlying combinatorics

Abstract

An expansion of the Weyl function of a $H$-selfadjoint random matrix with one negative square is provided. It is shown that the coefficients converge to a certain generalization of Catlan numbers. Properties of this generalization are studied, in particular, a combinatorial interpretation is given.

References in corpus (1)

• The Isotropic Semicircle Law and Deformation of Wigner Matrices