Submitted:
04 June 2021
Posted:
07 June 2021
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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
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