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Law of Large Numbers for a Class of Random Walks in Dynamic Random Environments

Dublin Core		PKP Metadata Items	Metadata for this Document
1.	Title	Title of document	Law of Large Numbers for a Class of Random Walks in Dynamic Random Environments
2.	Creator	Author's name, affiliation, country	Luca LA Avena; Unversity of Zürich; Switzerland
2.	Creator	Author's name, affiliation, country	Frank den Hollander; Leiden University; Netherlands
2.	Creator	Author's name, affiliation, country	Frank Redig; Radboud University Nijmegen; Netherlands
3.	Subject	Discipline(s)
3.	Subject	Keyword(s)	Random walk, dynamic random environment.
3.	Subject	Subject classification	MSC 2000. Primary 60H25, 82C44; Secondary 60F10, 35B40.
4.	Description	Abstract	In this paper we consider a class of one-dimensional interacting particle systems in equilibrium, constituting a dynamic random environment, together with a nearest-neighbor random walk that on occupied/vacant sites has a local drift to the right/left. We adapt a regeneration-time argument originally developed by Comets and Zeitouni for static random environments to prove that, under a space-time mixing property for the dynamic random environment called cone-mixing, the random walk has an a.s. constant global speed. In addition, we show that if the dynamic random environment is exponentially mixing in space-time and the local drifts are small, then the global speed can be written as a power series in the size of the local drifts. From the first term in this series the sign of the global speed can be read off. The results can be easily extended to higher dimensions.
5.	Publisher	Organizing agency, location
6.	Contributor	Sponsor(s)
7.	Date	(YYYY-MM-DD)	2011-03-29
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/866
10.	Identifier	Digital Object Identifier	10.1214/EJP.v16-866
11.	Source	Journal/conference title; vol., no. (year)	Electronic Journal of Probability; Vol 16
12.	Language	English=en
14.	Coverage	Geo-spatial location, chronological period, research sample (gender, age, etc.)
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