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A criterion for transience of multidimensional branching random walk in random environment


 
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1. Title Title of document A criterion for transience of multidimensional branching random walk in random environment
 
2. Creator Author's name, affiliation, country Sebastian Müller; University Münster
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Branching Markov chains; recurrence; transience; random environment, spectral radius
 
3. Subject Subject classification 60K37; 60J10; 60J80
 
4. Description Abstract We develop a criterion for transience for a general model of branching Markov chains. In the case of multi-dimensional branching random walk in random environment (BRWRE) this criterion becomes explicit. In particular, we show that Condition L of Comets and Popov [3] is necessary and sufficient for transience as conjectured. Furthermore, the criterion applies to two important classes of branching random walks and implies that the critical branching random walk is transient resp. dies out locally.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s) supported by FWF (Austrian Science Fund) project P18703-N18 and and DFG (German Research Foundation) project MU 2868/1-1
 
7. Date (YYYY-MM-DD) 2008-07-31
 
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/517
 
10. Identifier Digital Object Identifier 10.1214/EJP.v13-517
 
11. Source Journal/conference title; vol., no. (year) Electronic Journal of Probability; Vol 13
 
12. Language English=en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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