Processes on unimodular random networks
- Author(s): Aldous, D
- Lyons, R
- et al.
Published Web Locationhttps://doi.org/10.1214/EJP.v12-463
We investigate unimodular random networks. Our motivations include their characteri- zation 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. © 2007 Applied Probability Trust.