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2020 Quenched tail estimate for the random walk in random scenery and in random layered conductance II
Jean-Dominique Deuschel, Ryoki Fukushima
Electron. J. Probab. 25(none): 1-28 (2020). DOI: 10.1214/20-EJP478

Abstract

This is a continuation of our earlier work [Stochastic Processes and their Applications, 129(1), pp.102–128, 2019] on the random walk in random scenery and in random layered conductance. We complete the picture of upper deviation of the random walk in random scenery, and also prove a bound on lower deviation probability. Based on these results, we determine asymptotics of the return probability, a certain moderate deviation probability, and the Green function of the random walk in random layered conductance.

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Jean-Dominique Deuschel. Ryoki Fukushima. "Quenched tail estimate for the random walk in random scenery and in random layered conductance II." Electron. J. Probab. 25 1 - 28, 2020. https://doi.org/10.1214/20-EJP478

Information

Received: 24 May 2019; Accepted: 8 June 2020; Published: 2020
First available in Project Euclid: 4 July 2020

zbMATH: 07225529
MathSciNet: MR4119121
Digital Object Identifier: 10.1214/20-EJP478

Subjects:
Primary: 60F10, 60J55, 60K37

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