Header

UZH-Logo

Maintenance Infos

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


Fukushima, R (2009). From the Lifshitz tail to the quenched survival asymptotics in the trapping problem. Electronic Communications in Probability, 14:435-446.

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.

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.

Statistics

Citations

Dimensions.ai Metrics
7 citations in Web of Science®
7 citations in Scopus®
11 citations in Microsoft Academic
Google Scholar™

Altmetrics

Downloads

92 downloads since deposited on 13 Feb 2010
17 downloads since 12 months
Detailed statistics

Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Scopus Subject Areas:Physical Sciences > Statistics and Probability
Social Sciences & Humanities > Statistics, Probability and Uncertainty
Language:English
Date:2009
Deposited On:13 Feb 2010 11:28
Last Modified:29 Jul 2020 21:32
Publisher:University of Washington
ISSN:1083-589X
OA Status:Hybrid
Publisher DOI:https://doi.org/10.1214/ECP.v14-1497
Official URL:http://www.emis.de/journals/EJP-ECP/_ejpecp/index-2.html
Related URLs:http://arxiv.org/abs/0905.4436

Download

Hybrid Open Access

Download PDF  'From the Lifshitz tail to the quenched survival asymptotics in the trapping problem'.
Preview
Filetype: PDF
Size: 1MB
View at publisher
Download PDF  'From the Lifshitz tail to the quenched survival asymptotics in the trapping problem'.
Preview
Content: Accepted Version
Filetype: PDF
Size: 1MB