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Title: Quenched tail estimate for the random walk in random scenery and in random layered conductance
Authors: Deuschel, Jean-Dominique
Fukushima, Ryoki
Author's alias: 福島, 竜輝
Keywords: Random walk
Random scenery
Tail estimate
Moderate deviation
Large deviation
Random conductance model
Layered media
Issue Date: Jan-2019
Publisher: Elsevier BV
Journal title: Stochastic Processes and their Applications
Volume: 129
Issue: 1
Start page: 102
End page: 128
Abstract: We discuss the quenched tail estimates for the random walk in random scenery. The random walk is the symmetric nearest neighbor walk and the random scenery is assumed to be independent and identically distributed, non-negative, and has a power law tail. We identify the long time asymptotics of the upper deviation probability of the random walk in quenched random scenery, depending on the tail of scenery distribution and the amount of the deviation. The result is in turn applied to the tail estimates for a random walk in random conductance which has a layered structure.
Rights: © 2019. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
The full-text file will be made open to the public on 1 January 2021 in accordance with publisher's 'Terms and Conditions for Self-Archiving'.
This is not the published version. Please cite only the published version. この論文は出版社版でありません。引用の際には出版社版をご確認ご利用ください。
URI: http://hdl.handle.net/2433/241736
DOI(Published Version): 10.1016/j.spa.2018.02.011
Appears in Collections:Journal Articles

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