First passage times under frequent stochastic resetting

Samantha Linn, Sean D Lawley

Published 2023-02-10Version 1

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. We illustrate these results in several examples and show that the errors of our approximations vanish exponentially fast in typical scenarios of diffusive search.