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

Michal Wojtylak (Jagiellonian University)
Patryk Pagacz (Jagiellonian University)

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.

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Pages: 1-14

Publication Date: February 7, 2014

DOI: 10.1214/ECP.v19-3066

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