ECP Reading Tools

On Fixation of Activated Random Walks

Dublin Core		PKP Metadata Items	Metadata for this Document
1.	Title	Title of document	On Fixation of Activated Random Walks
2.	Creator	Author's name, affiliation, country	Ori Gurel-Gurevich; Microsoft Research
2.	Creator	Author's name, affiliation, country	Gideon Amir; University of Toronto
3.	Subject	Discipline(s)
3.	Subject	Keyword(s)	Activated Random Walks; Interacting Particles System
3.	Subject	Subject classification	60K35; 82C22
4.	Description	Abstract	We prove that for the Activated Random Walks model on transitive unimodular graphs, if there is fixation, then every particle eventually fixates, almost surely. We deduce that the critical density is at most 1. Our methods apply for much more general processes on unimodular graphs. Roughly put, our result apply whenever the path of each particle has an automorphism invariant distribution and is independent of other particles' paths, and the interaction between particles is automorphism invariant and local. In particular, we do not require the particles path distribution to be Markovian. This allows us to answer a question of Rolla and Sidoravicius, in a more general setting then had been previously known (by Shellef).
5.	Publisher	Organizing agency, location
6.	Contributor	Sponsor(s)
7.	Date	(YYYY-MM-DD)	2010-04-26
8.	Type	Status & genre	Peer-reviewed Article
8.	Type	Type
9.	Format	File format	PDF
10.	Identifier	Uniform Resource Identifier	http://ecp.ejpecp.org/article/view/1536
10.	Identifier	Digital Object Identifier	10.1214/ECP.v15-1536
11.	Source	Journal/conference title; vol., no. (year)	Electronic Communications in Probability; Vol 15
12.	Language	English=en
14.	Coverage	Geo-spatial location, chronological period, research sample (gender, age, etc.)
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