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On the spectral properties of a class of -selfadjoint random matrices and the underlying combinatorics
Michal Wojtylak, Patryk Pagacz
Source abstract
An expansion of the Weyl function of a -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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