Processes on unimodular random networks
Processes on unimodular random networks
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DOI：
10.1214/ejp.v12-463
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发表时间：
2007-11-21
影响因子：
1.4
通讯作者：
Lyons, Russell
中科院分区：
文献类型：
--
作者：
Aldous, David;Lyons, Russell
我们研究了单模随机网络。我们的动机包括通过相关随机游动的可逆性来刻画它们，以及它们与单模拟传递图的相似性。我们将关于随机游动、渗流、跨林和可修饰性的各种定理从么模拟传递图的已知背景推广到更一般的么模随机网络的背景。给出了与单模随机网络相关的迹的性质，并将其应用于连续时间随机游动的随机比较。
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.