## Processes on unimodular random networks (2005)

by
David Aldous
,
Russell Lyons

Venue: | In preparation |

Citations: | 48 - 4 self |

### BibTeX

@INPROCEEDINGS{Aldous05processeson,

author = {David Aldous and Russell Lyons},

title = {Processes on unimodular random networks},

booktitle = {In preparation},

year = {2005},

publisher = {University Press}

}

### Years of Citing Articles

### OpenURL

### Abstract

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