Occupation time of a run-and-tumble particle with resetting
Paul C Bressloff
Abstract:We study the positive occupation time of a run-and-tumble particle (RTP) subject to stochastic resetting. Under the resetting protocol, the position of the particle is reset to the origin at a random sequence of times that is generated by a Poisson process with rate r. The velocity state is reset to ±v with fixed probabilities ρ1 and ρ−1 = 1 − ρ1, where v is the speed. We exploit the fact that the moment generating functions with and without resetting are related by a renewal equation, and the latter generatin… Show more
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