Translator Disclaimer
2017 The moving particle lemma for the exclusion process on a weighted graph
Joe P. Chen
Electron. Commun. Probab. 22: 1-13 (2017). DOI: 10.1214/17-ECP82

Abstract

We prove a version of the moving particle lemma for the exclusion process on any finite weighted graph, based on the octopus inequality of Caputo, Liggett, and Richthammer. In light of their proof of Aldous’ spectral gap conjecture, we conjecture that our moving particle lemma is optimal in general. Our result can be applied to graphs which lack translational invariance, including, but not limited to, fractal graphs. An application of our result is the proof of local ergodicity for the exclusion process on a class of weighted graphs, the details of which are reported in a follow-up paper [arXiv:1705.10290].

Citation

Download Citation

Joe P. Chen. "The moving particle lemma for the exclusion process on a weighted graph." Electron. Commun. Probab. 22 1 - 13, 2017. https://doi.org/10.1214/17-ECP82

Information

Received: 3 June 2016; Accepted: 29 August 2017; Published: 2017
First available in Project Euclid: 2 October 2017

zbMATH: 1372.05207
MathSciNet: MR3710803
Digital Object Identifier: 10.1214/17-ECP82

Subjects:
Primary: 05C81, 28A80, 31C20, 60K35, 82C22

JOURNAL ARTICLE
13 PAGES


SHARE
Back to Top