Ballisticity of Random walks in Random Environments on $\mathbb{Z}$ with Bounded Jumps

arXiv2205.06419MaRDI QIDQ6399045

Daniel J. Slonim

Publication date: 12 May 2022

Abstract: We characterize ballistic behavior for general i.i.d. random walks in random environments on $mathbbZ$ with bounded jumps. The two characterizations we provide do not use uniform ellipticity conditions. They are natural in the sense that they both relate to formulas for the limiting speed in the nearest-neighbor case. Note: This paper duplicates results from some versions of the preprint "Random walks in Dirichlet random environments on $mathbbZ$ with bounded jumps." (arxiv: 2104.14950). The present paper is being split off for reasons of length, and the plan is to remove these results from a future version of the previous paper and replace them with a citation of the present preprint.

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Processes in random environments (60K37)

Related Items (1)

Random walks in Dirichlet environments on \(\mathbb{Z}\) with bounded jumps

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