Working Paper Article Version 1 This version is not peer-reviewed

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)

How to cite: Villarroel, J.; Montero, M.; Vega, J.A. A Semi-Deterministic Random Walk with Resetting. Preprints 2021, 2021060151 Villarroel, J.; Montero, M.; Vega, J.A. A Semi-Deterministic Random Walk with Resetting. Preprints 2021, 2021060151

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.

Subject Areas

Random walk with resetting; Escape probabilities; Exit times

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