On the variance of the particle number of the supercritical branching random walk on periodic graphs
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 28, Tome 486 (2019), pp. 233-253

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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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     author = {M. V. Platonova and K. S. Ryadovkin},
     title = {On the variance of the particle number of the supercritical branching random walk on periodic graphs},
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     pages = {233--253},
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     volume = {486},
     year = {2019},
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     url = {http://geodesic.mathdoc.fr/item/ZNSL_2019_486_a14/}
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M. V. Platonova; K. S. Ryadovkin. On the variance of the particle number of the supercritical branching random walk on periodic graphs. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 28, Tome 486 (2019), pp. 233-253. http://geodesic.mathdoc.fr/item/ZNSL_2019_486_a14/