Electronic Communications in Probability
- Electron. Commun. Probab.
- Volume 14 (2009), paper no. 42, 435-446.
From the Lifshitz tail to the quenched survival asymptotics in the trapping problem
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.
Electron. Commun. Probab., Volume 14 (2009), paper no. 42, 435-446.
Accepted: 6 October 2009
First available in Project Euclid: 6 June 2016
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Fukushima, Ryoki. From the Lifshitz tail to the quenched survival asymptotics in the trapping problem. Electron. Commun. Probab. 14 (2009), paper no. 42, 435--446. doi:10.1214/ECP.v14-1497. https://projecteuclid.org/euclid.ecp/1465234751