Brownian survival and Lifshitz tail in perturbed lattice disorder

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dc.creatorFukushima, Ryoki
dc.date2008-07-16
dc.date2009-03-28
dc.date.accessioned2026-07-07T12:57:14Z
dc.date.available2026-07-07T12:57:14Z
dc.descriptionWe consider the annealed asymptotics for the survival probability of Brownian motion among randomly distributed traps. The configuration of the traps is given by independent displacements of the lattice points. We determine the long time asymptotics of the logarithm of the survival probability up to a multiplicative constant. As applications, we show the Lifshitz tail effect of the density of states of the associated random Schrödinger operator and derive a quantitative estimate for the strength of intermittency in the Parabolic Anderson problem.
dc.description24 pages, Major revision made for publication in J. Funct. Anal
dc.identifierhttps://arxiv.org/abs/0807.2486
dc.identifierhttp://arxiv.org/abs/0807.2486
dc.identifierJournal of Functional Analysis 2009, Vol. 256, Issue 9, 2867-2893
dc.identifierdoi:10.1016/j.jfa.2009.01.030
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/224861
dc.subjectProbability
dc.subjectMathematical Physics
dc.subject60K37; 60G17; 82D30; 82B44
dc.titleBrownian survival and Lifshitz tail in perturbed lattice disorder
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