A branching random walk on two-dimensional lattices corresponding to graphene and stanene is considered. It is assumed that sources of branching are located on lattices periodically. An asymptotics of the mean value of particles in each vertex of the lattice is obtained.
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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 474, 2018, pp. 213–221.
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Ryadovkin, K.S. Asymptotic Behavior of Branching Random Walks on Some Two-Dimensional Lattices. J Math Sci 251, 141–146 (2020). https://doi.org/10.1007/s10958-020-05074-8
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DOI: https://doi.org/10.1007/s10958-020-05074-8