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Ergodic theory on stationary random graphs

Dublin Core		PKP Metadata Items	Metadata for this Document
1.	Title	Title of document	Ergodic theory on stationary random graphs
2.	Creator	Author's name, affiliation, country	Itai Benjamini; Weizmann institute of science; Israel
2.	Creator	Author's name, affiliation, country	Nicolas Curien; ÉNS Paris; France
3.	Subject	Discipline(s)
3.	Subject	Keyword(s)	Stationary random graph ; Simple random walk ; Ergodic Theory ; Entropy ; Liouville Property
3.	Subject	Subject classification	05C80 ; 28D20
4.	Description	Abstract	A stationary random graph is a random rooted graph whose distribution is invariant under re-rooting along the simple random walk. We adapt the entropy technique developed for Cayley graphs and show in particular that stationary random graphs of subexponential growth are almost surely Liouville, that is, admit no non constant bounded harmonic functions. Applications include the uniform infinite planar quadrangulation and  long-range percolation clusters.
5.	Publisher	Organizing agency, location
6.	Contributor	Sponsor(s)
7.	Date	(YYYY-MM-DD)	2012-10-29
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/2401
10.	Identifier	Digital Object Identifier	10.1214/EJP.v17-2401
11.	Source	Journal/conference title; vol., no. (year)	Electronic Journal of Probability; Vol 17
12.	Language	English=en	en
14.	Coverage	Geo-spatial location, chronological period, research sample (gender, age, etc.)
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