Article
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A Semi-Deterministic Random Walk with Resetting
Version 1
: Received: 4 June 2021 / Approved: 7 June 2021 / Online: 7 June 2021 (08:04:12 CEST)
A peer-reviewed article of this Preprint also exists.
Villarroel, J.; Montero, M.; Vega, J.A. A Semi-Deterministic Random Walk with Resetting. Entropy 2021, 23, 825. Villarroel, J.; Montero, M.; Vega, J.A. A Semi-Deterministic Random Walk with Resetting. Entropy 2021, 23, 825.
Abstract
We consider a discrete-time random walk (xt) which at random times is reset to the starting position and performs a deterministic motion between them. We show that the quantity Prxt+1=n+1|xt=n,n→∞ determines if the system is averse, neutral or inclined towards resetting. It also classifies the stationary distribution. Double barrier probabilities, first passage times and the distribution of the escape time from intervals are determined.
Keywords
Random walk with resetting; Escape probabilities; Exit times
Subject
Computer Science and Mathematics, Algebra and Number Theory
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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