Asymptotics of Negative Exponential Moments for Annealed Brownian Motion in a Renormalized Poisson Potential
2011 ◽
Vol 2011
◽
pp. 1-43
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Keyword(s):
In (Chen and Kulik, 2009), a method of renormalization was proposed for constructing some more physically realistic random potentials in a Poisson cloud. This paper is devoted to the detailed analysis of the asymptotic behavior of the annealed negative exponential moments for the Brownian motion in a renormalized Poisson potential. The main results of the paper are applied to studying the Lifshitz tails asymptotics of the integrated density of states for random Schrödinger operators with their potential terms represented by renormalized Poisson potentials.
2006 ◽
Vol 2006
◽
pp. 1-8
2019 ◽
Vol 27
(4)
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pp. 253-259
2018 ◽
Vol 2020
(17)
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pp. 5279-5341
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2007 ◽
Vol 253
(2)
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pp. 515-533
◽
2004 ◽
pp. 97-183
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2011 ◽
Vol 97
(1)
◽
pp. 25-27
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Keyword(s):