A. Kolesnik

collaborators

3 papers

math.PR2026

Exact formula for the 2-marginal second moment function of the multidimensional symmetric Markov random flight

Alexander D. Kolesnik

We consider the symmetric Markov random flight $X (t), t > 0,$ in the Euclidean space $R^{m}, m \geq 3$ , performed by a particle that moves in $R^{m}$ with constant fi…

math.PR2025

A diffusion model of surface soil pollution based on planar finite-velocity stochastic motion with random lifetime

Alexander D. Kolesnik

We present a diffusion model of surface soil pollution from a stationary source based on the symmetric stochastic motion at finite speed in the plane $R^{2}$ , also called the pl…

math.PR2025

Marginals of the planar symmetric Markov random flight on long time intervals behave like the Goldstein-Kac telegraph process

Alexander D. Kolesnik

The planar symmetric Markov random flight $X (t), t > 0,$ is represented by the stochastic motion of a particle moving with constant finite speed $c > 0$ in the Euclidean plane…