ECP Reading Tools

The Escape Model on a Homogeneous Tree

Dublin Core		PKP Metadata Items	Metadata for this Document
1.	Title	Title of document	The Escape Model on a Homogeneous Tree
2.	Creator	Author's name, affiliation, country	George Kordzakhia; University of California at Berkeley, USA
3.	Subject	Discipline(s)
3.	Subject	Keyword(s)
4.	Description	Abstract	There are two types of particles interacting on a homogeneous tree of degree $d+1$. The particles of the first type colonize the empty space with exponential rate 1, but cannot take over the vertices that are occupied by the second type. The particles of the second type spread with exponential rate $\lambda$. They colonize the neighboring vertices that are either vacant or occupied by the representatives of the opposite type, and annihilate the particles of the type 1 as they reach them. There exists a critical value $\lambda_c=(2d-1)+\sqrt{(2d-1)^2-1}$ such that the first type survives with positive probability for $\lambda < \lambda_c$, and dies out with probability one for $\lambda > \lambda_c$. We also find the growth profile which characterizes the rate of growth of the type 1 in the space-time on the event of survival.
5.	Publisher	Organizing agency, location
6.	Contributor	Sponsor(s)
7.	Date	(YYYY-MM-DD)	2005-06-09
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/1140
10.	Identifier	Digital Object Identifier	10.1214/ECP.v10-1140
11.	Source	Journal/conference title; vol., no. (year)	Electronic Communications in Probability; Vol 10
12.	Language	English=en
14.	Coverage	Geo-spatial location, chronological period, research sample (gender, age, etc.)
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