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Branching random walks in time inhomogeneous environments


 
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1. Title Title of document Branching random walks in time inhomogeneous environments
 
2. Creator Author's name, affiliation, country Ming Fang; University of Minnesota; United States
 
2. Creator Author's name, affiliation, country Ofer Zeitouni; University of Minnesota; Weizmann Institute.
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) branching random walks ; time inhomogeneous environments
 
3. Subject Subject classification 60G50; 60J80
 
4. Description Abstract We study the maximal displacement of branching random walks in a class of time inhomogeneous environments. Specifically, binary branching random walks with Gaussian increments will be considered, where the variances of the increments change over time macroscopically. We find the asymptotics of the maximum up to an $O_P(1)$ (stochastically bounded) error, and focus on the following phenomena: the profile of the variance matters, both to the leading (velocity) term and to the logarithmic correction term, and the latter exhibits a phase transition.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s) NSF, Israel science foundation, the Taubman professorial chair at the Weizmann.
 
7. Date (YYYY-MM-DD) 2012-08-19
 
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/2253
 
10. Identifier Digital Object Identifier 10.1214/EJP.v17-2253
 
11. Source Journal/conference title; vol., no. (year) Electronic Journal of Probability; Vol 17
 
12. Language English=en en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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