@article{EJP463,
author = {David Aldous and Russell Lyons},
title = {Processes on Unimodular Random Networks},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {12},
year = {2007},
keywords = {Amenability, equivalence relations, infinite graphs, percolation, quasi-transitive, random walks, transitivity, weak convergence, reversibility, trace, stochastic comparison, spanning forests, sofic groups.},
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.},
pages = {no. 54, 1454-1508},
issn = {1083-6489},
doi = {10.1214/EJP.v12-463},
url = {http://ejp.ejpecp.org/article/view/463}}