Limit theorems for the empirical distribution of supercritical branching random walks on transitive graphs
Probability
2026-02-12 v2
Abstract
We consider supercritical branching random walks on transitive graphs and we prove a law of large numbers for the mean displacement of the ensemble of particles, and a Stam-type central limit theorem for the empirical distributions, thus answering the questions from Kaimanovich-Woess [KW23, Section 6.2].
Keywords
Cite
@article{arxiv.2502.07633,
title = {Limit theorems for the empirical distribution of supercritical branching random walks on transitive graphs},
author = {Robin Kaiser and Martin Klötzer and Ecaterina Sava-Huss},
journal= {arXiv preprint arXiv:2502.07633},
year = {2026}
}
Comments
Electronic Journal of Probability (2026); to appear