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.
Citation
Michal Wojtylak. Patryk Pagacz. "On the spectral properties of a class of $H$-selfadjoint random matrices and the underlying combinatorics." Electron. Commun. Probab. 19 1 - 14, 2014. https://doi.org/10.1214/ECP.v19-3066
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