On the variance of the particle number of the supercritical branching random walk on periodic graphs

M. V. Platonova ; K. S. Ryadovkin

Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 28, Tome 486 (2019), pp. 233-253

Résumé

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.

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