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arXiv · 2302.05409

First passage times under frequent stochastic resetting

Samantha Linn·Sean D Lawley
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Abstract

We determine the full distribution and moments of the first passage time for a wide class of stochastic search processes in the limit of frequent stochastic resetting. Our results apply to any system whose short-time behavior of the search process without resetting can be estimated. In addition to the typical case of exponentially distributed resetting times, we prove our results for a wide array of resetting time distributions. We illustrate our results in several examples and show that the errors of our approximations vanish exponentially fast in typical scenarios of diffusive search.

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Samantha Linn, Sean D Lawley. 2023-02-10. First passage times under frequent stochastic resetting. https://arxiv.org/abs/2302.05409

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