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 Zap. Nauchn. Sem. POMI, 2018, Volume 474, Pages 213–221 (Mi znsl6680)

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

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.

 Funding Agency Grant Number Russian Science Foundation 17-11-01136

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UDC: 519.21

Citation: K. S. Ryadovkin, “Asymptotic behavior of branching random walks on some two-dimensional lattices”, Probability and statistics. Part 27, Zap. Nauchn. Sem. POMI, 474, POMI, St. Petersburg, 2018, 213–221

Citation in format AMSBIB
\Bibitem{Rya18} \by K.~S.~Ryadovkin \paper Asymptotic behavior of branching random walks on some two-dimensional lattices \inbook Probability and statistics. Part~27 \serial Zap. Nauchn. Sem. POMI \yr 2018 \vol 474 \pages 213--221 \publ POMI \publaddr St.~Petersburg \mathnet{http://mi.mathnet.ru/znsl6680}