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2007 Processes on Unimodular Random Networks
David Aldous, Russell Lyons
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Electron. J. Probab. 12: 1454-1508 (2007). DOI: 10.1214/EJP.v12-463

Abstract

We investigate unimodular random networks. Our motivations include their characterization via reversibility of an associated random walk and their similarities to unimodular quasi-transitive graphs. We extend various theorems concerning random walks, percolation, spanning forests, and amenability from the known context of unimodular quasi-transitive graphs to the more general context of unimodular random networks. We give properties of a trace associated to unimodular random networks with applications to stochastic comparison of continuous-time random walk.

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David Aldous. Russell Lyons. "Processes on Unimodular Random Networks." Electron. J. Probab. 12 1454 - 1508, 2007. https://doi.org/10.1214/EJP.v12-463

Information

Accepted: 21 November 2007; Published: 2007
First available in Project Euclid: 1 June 2016

zbMATH: 1131.60003
MathSciNet: MR2354165
Digital Object Identifier: 10.1214/EJP.v12-463

Subjects:
Primary: 60C05
Secondary: 05C80, 60K99

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Vol.12 • 2007
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