Moment asymptotics of particle numbers at vertices for a supercritical branching random walk on a periodic graph
Teoriâ veroâtnostej i ee primeneniâ, Tome 68 (2023) no. 2, pp. 277-300 Cet article a éte moissonné depuis la source Math-Net.Ru

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We consider a continuous-time supercritical symmetric branching random walk on a multidimensional graph with periodic particle generation sources. A logarithmic asymptotic formula is obtained for the moments of population sizes of particles at each vertex of the graph as ${t\to\infty}$.
Keywords: branching random walk
Mots-clés : periodic perturbation, evolution equation.
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M. V. Platonova; K. S. Ryadovkin. Moment asymptotics of particle numbers at vertices for a supercritical branching random walk on a periodic graph. Teoriâ veroâtnostej i ee primeneniâ, Tome 68 (2023) no. 2, pp. 277-300. http://geodesic.mathdoc.fr/item/TVP_2023_68_2_a3/

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