Asymptotics of Negative Exponential Moments for Annealed Brownian Motion in a Renormalized Poisson Potential

[摘要] In (Chen and Kulik, 2009), a method of renormalization was proposed for constructing some more physicallyrealistic random potentials in a Poisson cloud. This paper is devoted to thedetailed analysis of the asymptotic behavior of the annealed negative exponential momentsfor the Brownian motion in a renormalized Poisson potential. The main resultsof the paper are applied to studying the Lifshitz tails asymptotics of the integrated densityof states for random Schrödinger operators with their potential terms representedby renormalized Poisson potentials.

[学科分类] 应用数学