Asymptotic capacity of the range of random walks on free products of graphs

DOI10.1214/24-ejp1086arXiv2209.09884OpenAlexW4392051151MaRDI QIDQ6126980

Lorenz A. Gilch

Publication date: 10 April 2024

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.09884

zbMATH Keywords

capacitycentral limit theoremanalyticityrandom walkrangefree product

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50) Graph operations (line graphs, products, etc.) (05C76) Random walks on graphs (05C81)

Cites Work

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• Asymptotic entropy of random walks on free products
• Vacant set of random interlacements and percolation
• Local limits and harmonic functions for nonisotropic random walks on free groups
• Finite range random walk on free groups and homogeneous trees
• The range of random walk on trees and related trapping problem
• Range of random walks on free products
• Capacity of the range in dimension 5
• Capacity of the range of random walk on \(\mathbb{Z}^{4}\)
• On the range of random walk
• Two observations on the capacity of the range of simple random walks on \(\mathbb{Z} ^3\) and \(\mathbb{Z} ^4\)
• Phase transitions for random walk asymptotics on free products of groups
• Isotropic random walks in a tree
• Capacity of the range of random walk on $\mathbb {Z}^d$
• Random Walks on Infinite Graphs and Groups
• Random walks on free products of cyclic groups
• Moderate deviations for the range of a transient random walk: path concentration
• Rate of escape of random walks on free products

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