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Phase Transition for the Frog Model


 
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1. Title Title of document Phase Transition for the Frog Model
 
2. Creator Author's name, affiliation, country Oswaldo Alves; Universidade Federal de Goias
 
2. Creator Author's name, affiliation, country Fabio Machado; Universidade de Sao Paulo
 
2. Creator Author's name, affiliation, country Serguei Popov; Universidade de São Paulo
 
3. Subject Discipline(s) Mathematics
 
3. Subject Keyword(s) simple randomwalk, critical probability, percolation.
 
3. Subject Subject classification 60J85, 60K35, 82B43.
 
4. Description Abstract We study a system of simple random walks on graphs, known as frog model. This model can be described as follows: There are active and sleeping particles living on some graph. Each active particle performs a simple random walk with discrete time and at each moment it may disappear with probability $1-p$. When an active particle hits a sleeping particle, the latter becomes active. Phase transition results and asymptotic values for critical parameters are presented for $Z^d$ and regular trees.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 2002-05-16
 
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/115
 
10. Identifier Digital Object Identifier 10.1214/EJP.v7-115
 
11. Source Journal/conference title; vol., no. (year) Electronic Journal of Probability; Vol 7
 
12. Language English=en en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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