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math.PR2026
Harmonic polynomials and other exactly computable characteristics for -dimensional random walks in cones
Denis Denisov, Nikita Elizarov, Vitali Wachtel
In this note we consider -dimensional lattice random walks killed at leaving a wedge with opening . 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…