K. S. Ryadovkin, “Asymptotic behavior of branching random walks on some two-dimensional lattices”, Zap. Nauchn. Sem. POMI, 2018, Volume 474,Pages <nobr>213

This article is cited in 1 paper

Asymptotic behavior of branching random walks on some two-dimensional lattices

K. S. Ryadovkin^ab

^a St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, St. Petersburg, Russia
^b Saint Petersburg State University, Saint Petersburg, Russia

Abstract: A branching random walk on two dimensional lattices corresponding to graphene and stanene is considered. We assume that sources of branching are located periodically on lattices. An asymptotic of the mean value of particles in each vertex is obtained.

Key words and phrases: branching random walk, two-dimensional periodic lattice, combinatorial Laplacian.

UDC: 519.21

Received: 29.10.2018