Processes on Unimodular Random Networks

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.


Publication Date:
Jun 01 2016
Date Submitted:
Feb 22 2019
Citation:
Electronic Journal of Probability
12




 Record created 2019-02-22, last modified 2019-04-03

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