7 papers
Peelings and Wrappings of Families of Convex Sets with Applications to Strongly Convex Sets Generated by Random Samples
Alexander Marynych, Mykyta Sadok
We introduce and study peeling and wrapping operations for families of compact convex sets. The two peeling procedures considered in the paper are the -point peeling, obtained b…
On the distribution patterns of zeros for random polynomials with regularly varying coefficients
Zakhar Kabluchko, Boris Khoruzhenko, Alexander Marynych
This paper investigates asymptotic distribution of complex zeros of random polynomials , as , where is a regularly varying funct…
Zeros and exponential profiles of polynomials II: Examples
Jonas Jalowy, Zakhar Kabluchko, Alexander Marynych
In [Jalowy, Kabluchko, Marynych, arXiv:2504.11593v1, 2025], the authors discuss a user-friendly approach to determine the limiting empirical zero distribution of a sequence of real…
On local large deviations for decoupled random walks
Dariusz Buraczewski, Alexander Iksanov, Alexander Marynych
A decoupled standard random walk is a sequence of independent random variables such that, for each , the distribution of is the same…
Zeros and exponential profiles of polynomials I: Limit distributions, finite free convolutions and repeated differentiation
Jonas Jalowy, Zakhar Kabluchko, Alexander Marynych
Given a sequence of polynomials with only nonpositive zeros, the aim of this article is to present a user-friendly approach for determining the limiting…
Almost periodic stochastic processes with applications to analytic number theory
Alexander Iksanov, Zakhar Kabluchko, Alexander Marynych
A classical fact of the theory of almost periodic functions is the existence of their asymptotic distributions. In probabilistic terms, this means that if is a Besicovitch almo…