Geodesic
Front propagation of branching random walk with periodic branching sources
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (2024), pp. 31-40

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We consider the model of branching random walk on an integer lattice $\mathbb{Z}^d$ with periodic sources of branching. It is supposed that the regime of branching is supercritical and, for a jump of the random walk, the Cramér condition is satisfied. The theorem established describes the rate of front propagation for particles population over the lattice as the time increases unboundedly. The proofs are based on fundamental results related to the spatial spread of general branching random walk. 
@article{VMUMM_2024_1_a3,
     author = {E. Vl. Bulinskaya},
     title = {Front propagation of branching random walk with periodic branching sources},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {31--40},
     publisher = {mathdoc},
     number = {1},
     year = {2024},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2024_1_a3/}
}
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E. Vl. Bulinskaya. Front propagation of branching random walk with periodic branching sources. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (2024), pp. 31-40. http://geodesic.mathdoc.fr/item/VMUMM_2024_1_a3/