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Tightness of voter model interfaces

Dublin Core		PKP Metadata Items	Metadata for this Document
1.	Title	Title of document	Tightness of voter model interfaces
2.	Creator	Author's name, affiliation, country	Anja Sturm; University of Delaware
2.	Creator	Author's name, affiliation, country	Jan M. Swart; 'UTIA
3.	Subject	Discipline(s)
3.	Subject	Keyword(s)	Long range voter model; swapping voter model; interface tightness; exclusion process.
3.	Subject	Subject classification	Primary: 82C22; Secondary: 82C24, 82C41, 60K35.
4.	Description	Abstract	Consider a long-range, one-dimensional voter model started with all zeroes on the negative integers and all ones on the positive integers. If the process obtained by identifying states that are translations of each other is positively recurrent, then it is said that the voter model exhibits interface tightness. In 1995, Cox and Durrett proved that one-dimensional voter models exhibit interface tightness if their infection rates have a finite third moment. Recently, Belhaouari, Mountford, and Valle have improved this by showing that a finite second moment suffices. The present paper gives a new short proof of this fact. We also prove interface tightness for a long range swapping voter model, which has a mixture of long range voter model and exclusion process dynamics.
5.	Publisher	Organizing agency, location
6.	Contributor	Sponsor(s)	Work sponsored by UDRF grant 06000596, NSF Grant 0706713 and GAv CR grants 201/06/1323 and 201/07/0237
7.	Date	(YYYY-MM-DD)	2008-04-08
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/1360
10.	Identifier	Digital Object Identifier	10.1214/ECP.v13-1360
11.	Source	Journal/conference title; vol., no. (year)	Electronic Communications in Probability; Vol 13
12.	Language	English=en
14.	Coverage	Geo-spatial location, chronological period, research sample (gender, age, etc.)
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