On the critical branching random walk. III: the critical dimension

DOI10.1214/20-AIHP1071zbMath1491.60061arXiv1701.08917OpenAlexW3139103282MaRDI QIDQ2041788

Qingsan Zhu

Publication date: 23 July 2021

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.08917

zbMATH Keywords

harmonic measurecritical branching random walktree-indexed random walkvisiting probability

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (3)

Capacity of the range of branching random walks in low dimensions ⋮ An upper bound for the probability of visiting a distant point by a critical branching random walk in \(\mathbb{Z} ^{4}\) ⋮ Convergence in law for the capacity of the range of a critical branching random walk

Cites Work

• The range of tree-indexed random walk in low dimensions
• Subdiffusive behavior of random walk on a random cluster
• An upper bound for the probability of visiting a distant point by a critical branching random walk in \(\mathbb{Z} ^{4}\)
• THE RANGE OF TREE-INDEXED RANDOM WALK
• Random Walk: A Modern Introduction
• Unnamed Item

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