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

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

2009-05-27

arxiv.org/abs/0905.4436v1

Electronic Communications in Probability 2009, vol. 14, paper 42, 435-446

Mathematics

Probability

13 pages

Scientific paper

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 in the Poissonian obstacles. As an application, we derive the quenched asymptotics for the Brownian motion in traps distributed according to a random perturbation of the lattice.

Affiliated with

Also associated with

No associations

Rating

From the Lifshitz tail to the quenched survival asymptotics in the trapping problem does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with From the Lifshitz tail to the quenched survival asymptotics in the trapping problem, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and From the Lifshitz tail to the quenched survival asymptotics in the trapping problem will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-527817