Translator Disclaimer
2019 An upper bound for the probability of visiting a distant point by a critical branching random walk in $\mathbb{Z} ^{4}$
Qingsan Zhu
Electron. Commun. Probab. 24: 1-6 (2019). DOI: 10.1214/19-ECP228

Abstract

In this paper, we study the probability of visiting a distant point $a\in \mathbb{Z} ^{4}$ by a critical branching random walk starting at the origin. We prove that this probability is bounded by $1/(|a|^{2}\log |a|)$ up to a constant factor.

Citation

Download Citation

Qingsan Zhu. "An upper bound for the probability of visiting a distant point by a critical branching random walk in $\mathbb{Z} ^{4}$." Electron. Commun. Probab. 24 1 - 6, 2019. https://doi.org/10.1214/19-ECP228

Information

Received: 5 December 2018; Accepted: 8 April 2019; Published: 2019
First available in Project Euclid: 14 June 2019

zbMATH: 07068656
MathSciNet: MR3962482
Digital Object Identifier: 10.1214/19-ECP228

Subjects:
Primary: 60G50, 60J80

JOURNAL ARTICLE
6 PAGES


SHARE
Back to Top