N. Elizarov

collaborators

2 papers

math.PR2026

Harmonic polynomials and other exactly computable characteristics for $2$ -dimensional random walks in cones

Denis Denisov, Nikita Elizarov, Vitali Wachtel

In this note we consider $2$ -dimensional lattice random walks killed at leaving a wedge with opening $I^\pm \in (0, I ¨ ]$ . Assuming that the walk cannot jump over the boundary of the wedg…

math.PR2025

Co-existence of branching populations in random environment

Nikita Elizarov, Vitali Wachtel

In this paper we consider two branching processes living in a joint random environment. Assuming that both processes are critical we address the following question: What is the pro…

Harmonic polynomials and other exactly computable characteristics for 2-dimensional random walks in cones

Co-existence of branching populations in random environment

Harmonic polynomials and other exactly computable characteristics for $2$ -dimensional random walks in cones