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2009 From the Lifshitz tail to the quenched survival asymptotics in the trapping problem
Ryoki Fukushima
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Electron. Commun. Probab. 14: 435-446 (2009). DOI: 10.1214/ECP.v14-1497

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.

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Ryoki Fukushima. "From the Lifshitz tail to the quenched survival asymptotics in the trapping problem." Electron. Commun. Probab. 14 435 - 446, 2009. https://doi.org/10.1214/ECP.v14-1497

Information

Accepted: 6 October 2009; Published: 2009
First available in Project Euclid: 6 June 2016

zbMATH: 1191.60122
MathSciNet: MR2551853
Digital Object Identifier: 10.1214/ECP.v14-1497

Subjects:
Primary: 60K37
Secondary: 82B44

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