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Processes on Unimodular Random Networks

Dublin Core		PKP Metadata Items	Metadata for this Document
1.	Title	Title of document	Processes on Unimodular Random Networks
2.	Creator	Author's name, affiliation, country	David J. Aldous; University of California, Berkeley
2.	Creator	Author's name, affiliation, country	Russell Lyons; Indiana University
3.	Subject	Discipline(s)
3.	Subject	Keyword(s)	Amenability, equivalence relations, infinite graphs, percolation, quasi-transitive, random walks, transitivity, weak convergence, reversibility, trace, stochastic comparison, spanning forests, sofic groups.
3.	Subject	Subject classification	60C05; 60K99; 05C80
4.	Description	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.
5.	Publisher	Organizing agency, location
6.	Contributor	Sponsor(s)	NSF
7.	Date	(YYYY-MM-DD)	2007-11-21
8.	Type	Status & genre	Peer-reviewed Article
8.	Type	Type
9.	Format	File format	PDF
10.	Identifier	Uniform Resource Identifier	http://ejp.ejpecp.org/article/view/463
10.	Identifier	Digital Object Identifier	10.1214/EJP.v12-463
11.	Source	Journal/conference title; vol., no. (year)	Electronic Journal of Probability; Vol 12
12.	Language	English=en
14.	Coverage	Geo-spatial location, chronological period, research sample (gender, age, etc.)
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