Large deviations for simple random walk on supercritical percolation clusters
type: Item
instance of: scholarly article
title: Large deviations for simple random walk on supercritical percolation clusters
zbMATH Open document ID: 1261.60098
author: Naoki Kubota
published in: Kodai Mathematical Journal
publication date: 2013-01-18T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.kmj/1352985454
review text: Large deviation principles for simple random walks on a supercritical site percolation have already been dealt with in the literature, mainly with elliptic transition probabilities. The author of this paper goes a step further and states similar results for non-elliptic transition probabilities which originate from the fluctuation of site percolation clusters. The proof is based mainly on the use of the Lyapunov exponent. An upper bound and a lower bound for the large deviations are obtained.
Mathematics Subject Classification ID: 60K37
Mathematics Subject Classification ID: 60F10
zbMATH DE Number: 6126933
zbMATH Keywords: random walk
zbMATH Keywords: large deviations
zbMATH Keywords: Lyapunov exponent
zbMATH Keywords: shape theorem
reviewed by: Guy Jumarie
MaRDI profile type: Publication
OpenAlex ID: W2062400775
DOI: 10.2996/KMJ/1352985454
description: scientific article; zbMATH DE number 6126933