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

Xia Chen | Zendy; Alexei Kulik | Zendy

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

Author(s) -

Xia Chen,

Alexei Kulik

Publication year - 2011

Publication title -

international journal of stochastic analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.19

H-Index - 28

eISSN - 2090-3340

pISSN - 2090-3332

DOI - 10.1155/2011/803683

Subject(s) - mathematics , brownian motion , poisson distribution , renormalization , exponential function , statistical physics , mathematical physics , mathematical analysis , physics , statistics

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

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