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On Infection Spreading and Competition between Independent Random Walks


 
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1. Title Title of document On Infection Spreading and Competition between Independent Random Walks
 
2. Creator Author's name, affiliation, country Irina Kurkova; Université de Paris VI (Pierre et Marie Curie), France
 
2. Creator Author's name, affiliation, country Serguei Popov; Universidade de São Paulo, Brasil
 
2. Creator Author's name, affiliation, country M. Vachkovskaia; Universidade de Campinas, Brasil
 
3. Subject Discipline(s)
 
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4. Description Abstract We study the models of competition and spreading of infection for infinite systems of independent random walks. For the competition model, we investigate the question whether one of the spins prevails with probability one. For the infection spreading, we give sufficient conditions for recurrence and transience (i.e., whether the origin will be visited by infected particles infinitely often a.s.).
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 2004-04-09
 
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/197
 
10. Identifier Digital Object Identifier 10.1214/EJP.v9-197
 
11. Source Journal/conference title; vol., no. (year) Electronic Journal of Probability; Vol 9
 
12. Language English=en
 
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