Geodesic
Asymptotic behavior of the mean number of particles of branching random walk on $\mathbf Z^d$ with periodic sources of branching
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 26, Tome 466 (2017), pp. 234-256 
M. V. Platonova; K. S. Ryadovkin. Asymptotic behavior of the mean number of particles of branching random walk on $\mathbf Z^d$ with periodic sources of branching. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 26, Tome 466 (2017), pp. 234-256. http://geodesic.mathdoc.fr/item/ZNSL_2017_466_a15/
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     title = {Asymptotic behavior of the mean number of particles of branching random walk on $\mathbf Z^d$ with periodic sources of branching},
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     year = {2017},
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     url = {http://geodesic.mathdoc.fr/item/ZNSL_2017_466_a15/}
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

We consider a continuous-time branching random walk on $\mathbf Z^d$ with birth and death of particles at a periodic set of points (the sources of branching). Spectral properties of an evolution operator of the mean number of particles are studied. We derive a representation of the mean value of particle number in a form of asymptotic series.

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