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

Patryk Pagacz; Michal Wojtylak

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arXiv · 1310.2122

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

Patryk Pagacz·Michal Wojtylak

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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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Patryk Pagacz, Michal Wojtylak. 2013-10-08. On the spectral properties of a class of $H$-selfadjoint random matrices and the underlying combinatorics. https://arxiv.org/abs/1310.2122

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