Stability and Instability of Steady States for a Branching Random Walk

Yaqin Feng (), Stanislav Molchanov () and Elena Yarovaya ()
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Yaqin Feng: Ohio University
Stanislav Molchanov: University of North Carolina at Charlotte
Elena Yarovaya: Lomonosov Moscow State University

Methodology and Computing in Applied Probability, 2021, vol. 23, issue 1, 207-218

Abstract: Abstract We consider the time evolution of a lattice branching random walk with local perturbations. Under certain conditions, we prove the Carleman type estimation for the moments of a particle subpopulation number and show the existence of a steady state.

Keywords: Branching random walk; Local perturbation; Steady state; Limit theorems; 60J80; 60J35; 60G32 (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1007/s11009-020-09791-0

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