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From the Lifshitz tail to the quenched survival asymptotics in the trapping problem


 
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1. Title Title of document From the Lifshitz tail to the quenched survival asymptotics in the trapping problem
 
2. Creator Author's name, affiliation, country Ryoki Fukushima; University of Zurich
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Trapping problem; random media; survival probability; Lifshitz tail
 
3. Subject Subject classification 60K37; 82B44
 
4. Description Abstract The survival problem for a diffusing particle moving among random traps is considered. We introduce a simple argument to derive the quenched asymptotics of the survival probability from the Lifshitz tail effect for the associated operator. In particular, the upper bound is proved in fairly general settings and is shown to be sharp in the case of the Brownian motion among Poissonian obstacles. As an application, we derive the quenched asymptotics for the Brownian motion among traps distributed according to a random perturbation of the lattice.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s) Japan Society for the Promotion of Science
 
7. Date (YYYY-MM-DD) 2009-10-06
 
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/1497
 
10. Identifier Digital Object Identifier 10.1214/ECP.v14-1497
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 14
 
12. Language English=en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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