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Zapiski Nauchnykh Seminarov POMI, 2023, Volume 526, Pages 90–108 (Mi znsl7381)  
Periodic branching random walk on $\mathbf {Z}^d$ with immigration

I. I. Lukashovaab

a Euler International Mathematical Institute, St. Petersburg
b St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences
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Abstract: We consider a continuous-time branching random walk with immigration on $\mathbf {Z}^d$ with branching sources located periodically. The asymptotic behavior of the mean number of particles at an arbitrary point is obtained for $t\to\infty$ in the supercritical and subcritical cases.
Key words and phrases: branching random walk, periodic perturbation, the direct integral decomposition.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-15-2022-289
Received: 28.09.2023
Document Type: Article
UDC: 519.2
Language: Russian
Citation: I. I. Lukashova, “Periodic branching random walk on $\mathbf {Z}^d$ with immigration”, Probability and statistics. Part 35, Zap. Nauchn. Sem. POMI, 526, POMI, St. Petersburg, 2023, 90–108
Citation in format AMSBIB
\Bibitem{Luk23}
\by I.~I.~Lukashova
\paper Periodic branching random walk on $\mathbf {Z}^d$ with immigration
\inbook Probability and statistics. Part~35
\serial Zap. Nauchn. Sem. POMI
\yr 2023
\vol 526
\pages 90--108
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl7381}
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