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math.PR2024
An operator theory approach to the evanescent part of a two-parametric weak-stationary stochastic process
Zbigniew Burdak, Marek Kosiek, Patryk Pagacz +1
A new approach to the evanescent part of a two-dimensional weak-stationary stochastic process with the past given by a half-plane is proceed. The classical result due to Helson and…
math.PR2017★ 2 cited
Random Perturbations of Matrix Polynomials
Patryk Pagacz, Michał Wojtylak
A sum of a large-dimensional random matrix polynomial and a fixed low-rank matrix polynomial is considered. The main assumption is that the resolvent of the random polynomial conve…
math.PR2013
On the spectral properties of a class of -selfadjoint random matrices and the underlying combinatorics
Patryk Pagacz, Michal Wojtylak
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…