On the empty balls of a critical or subcritical branching random walk

2022/12/25 by Jie Xiong, Xiong, Jie, Shuxiong Zhang +1
Mathematics · Biochemistry, Genetics and Molecular Biology · #Stochastic processes and statistical mechanics #advanced mathematical theories #Diffusion and Search Dynamics

paper · pdf · doi:10.48550/arxiv.2212.12833

Abstract

Let \Z_n\_{n≥ 0} be a critical or subcritical d-dimensional branching random walk started from a Poisson random measure whose intensity measure is the Lebesugue measure on ℝ^d. Denote by R_n:=sup\u>0:Z_n(\x∈ℝ^d:|x|

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