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Zapiski Nauchnykh Seminarov POMI, 2019, Volume 486, Pages 233–253
(Mi znsl6894)
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This article is cited in 4 scientific papers (total in 4 papers)
On the variance of the particle number of the supercritical branching random walk on periodic graphs
M. V. Platonovaab, K. S. Ryadovkinab 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.
Received: 05.11.2019
Citation:
M. V. Platonova, K. S. Ryadovkin, “On the variance of the particle number of the supercritical branching random walk on periodic graphs”, Probability and statistics. Part 28, Zap. Nauchn. Sem. POMI, 486, POMI, St. Petersburg, 2019, 233–253
Linking options:
https://www.mathnet.ru/eng/znsl6894 https://www.mathnet.ru/eng/znsl/v486/p233
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Abstract page: | 124 | Full-text PDF : | 37 | References: | 31 |
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