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Zapiski Nauchnykh Seminarov POMI, 2018, Volume 474, Pages 213–221
(Mi znsl6680)
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This article is cited in 1 scientific paper (total in 1 paper)
Asymptotic behavior of branching random walks on some two-dimensional lattices
K. S. Ryadovkinab 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.
Received: 29.10.2018
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
Linking options:
https://www.mathnet.ru/eng/znsl6680 https://www.mathnet.ru/eng/znsl/v474/p213
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Abstract page: | 133 | Full-text PDF : | 41 | References: | 32 |
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