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Processes on unimodular random networks

  • Author(s): Aldous, D
  • Lyons, R
  • et al.
Abstract

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.

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