On empty balls of critical 2-dimensional branching random walks

2025/02/22 by Shuxiong Zhang, Zhang, Shuxiong · 1 citation
Mathematics · #FOS: Mathematics #Mathematical Dynamics and Fractals #Probability (math.PR) #Stochastic processes and statistical mechanics #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.2502.16225

openalex publication_date 2025/02/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

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