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2018 Slowdown estimates for one-dimensional random walks in random environment with holding times
Amir Dembo, Ryoki Fukushima, Naoki Kubota
Electron. Commun. Probab. 23(none): 1-12 (2018). DOI: 10.1214/18-ECP191

Abstract

We consider a one dimensional random walk in random environment that is uniformly biased to one direction. In addition to the transition probability, the jump rate of the random walk is assumed to be spatially inhomogeneous and random. We study the probability that the random walk travels slower than its typical speed and determine its decay rate asymptotic.

Citation

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Amir Dembo. Ryoki Fukushima. Naoki Kubota. "Slowdown estimates for one-dimensional random walks in random environment with holding times." Electron. Commun. Probab. 23 1 - 12, 2018. https://doi.org/10.1214/18-ECP191

Information

Received: 3 July 2018; Accepted: 8 November 2018; Published: 2018
First available in Project Euclid: 24 November 2018

zbMATH: 07023475
MathSciNet: MR3882230
Digital Object Identifier: 10.1214/18-ECP191

Subjects:
Primary: 60F10, 60J15, 60K37

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