Electronic Communications in Probability
- Electron. Commun. Probab.
- Volume 23 (2018), paper no. 89, 12 pp.
Slowdown estimates for one-dimensional random walks in random environment with holding times
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.
Electron. Commun. Probab., Volume 23 (2018), paper no. 89, 12 pp.
Received: 3 July 2018
Accepted: 8 November 2018
First available in Project Euclid: 24 November 2018
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Dembo, Amir; Fukushima, Ryoki; Kubota, Naoki. Slowdown estimates for one-dimensional random walks in random environment with holding times. Electron. Commun. Probab. 23 (2018), paper no. 89, 12 pp. doi:10.1214/18-ECP191. https://projecteuclid.org/euclid.ecp/1543028986