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Multitype Contact Process on Z: Extinction and Interface

Dublin Core		PKP Metadata Items	Metadata for this Document
1.	Title	Title of document	Multitype Contact Process on Z: Extinction and Interface
2.	Creator	Author's name, affiliation, country	Daniel Valesin; École Polytechnique Fédérale de Lausanne; Switzerland
3.	Subject	Discipline(s)
3.	Subject	Keyword(s)	Interacting Particle Systems
3.	Subject	Subject classification	60K35
4.	Description	Abstract	We consider a two-type contact process on the integers. Both types have equal finite range and supercritical infection rate. We show that a given type becomes extinct with probability 1 if and only if, in the initial configuration, it is confined to a finite interval and surrounded by infinitely many individuals of the other type. Additionally, we show that if both types are present in finite number in the initial configuration, then there is a positive probability that they are both present for all times. Finally, it is shown that, starting from the configuration in which all sites to the left of the origin are occupied by type 1 particles and all sites to the right of the origin are occupied by type 2 particles, the process defined by the size of the interface area between the two types is stochastically tight.
5.	Publisher	Organizing agency, location
6.	Contributor	Sponsor(s)
7.	Date	(YYYY-MM-DD)	2010-12-18
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/836
10.	Identifier	Digital Object Identifier	10.1214/EJP.v15-836
11.	Source	Journal/conference title; vol., no. (year)	Electronic Journal of Probability; Vol 15
12.	Language	English=en
14.	Coverage	Geo-spatial location, chronological period, research sample (gender, age, etc.)
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