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Asymptotic Behavior of the Mean Number of Particles for a Branching Random Walk on the Lattice Zd with Periodic Sources of Branching. / Platonova, M.V.

In: Journal of Mathematical Sciences , Vol. 244, No. 5, 2020, p. 858-873.

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@article{619ee54873f54b54bc67fe8d77055035,
title = "Asymptotic Behavior of the Mean Number of Particles for a Branching Random Walk on the Lattice Zd with Periodic Sources of Branching.",
abstract = "We consider a continuous-time branching random walk on ℤ d with birth and death of particles at a periodic set of points (sources of branching). Spectral properties of the 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.",
author = "M.V. Platonova",
year = "2020",
language = "English",
volume = "244",
pages = "858--873",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "5",

}

RIS

TY - JOUR

T1 - Asymptotic Behavior of the Mean Number of Particles for a Branching Random Walk on the Lattice Zd with Periodic Sources of Branching.

AU - Platonova, M.V.

PY - 2020

Y1 - 2020

N2 - We consider a continuous-time branching random walk on ℤ d with birth and death of particles at a periodic set of points (sources of branching). Spectral properties of the 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.

AB - We consider a continuous-time branching random walk on ℤ d with birth and death of particles at a periodic set of points (sources of branching). Spectral properties of the 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.

M3 - Article

VL - 244

SP - 858

EP - 873

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 5

ER -

ID: 78540241