M. V. Platonova, K. S. Ryadovkin, “On the variance of the particle number of the supercritical branching random walk on periodic graphs”, Zap. Nauchn. Sem. POMI, 2019, Volume 486,Pages <nobr>233

This article is cited in 4 papers

On the variance of the particle number of the supercritical branching random walk on periodic graphs

M. V. Platonova^ab, K. S. Ryadovkin^ab

^a St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences
^b Chebyshev Laboratory, St. Petersburg State University, Department of Mathematics and Mechanics

Abstract: An asymptotic behavior of the variance of the local particle number of a supercritical branching random walk with branching sources which are located periodically on $\mathbf{Z}^d$ is obtained.

Key words and phrases: branching random walk, periodic perturbation, evolution equation.

UDC: 519.2

Received: 05.11.2019