Séminaire du LPTMS: Martin R. Evans (University of Edinburgh)

Quand

29/10/2024    
11:00 - 12:15

Type d’évènement

Carte non disponible

Optimal resetting strategies (when you don’t know where the target is)

Martin R. Evans (University of Edinburgh)

Resetting has been shown to reduce the completion time for a stochastic process, such as the first passage time for a diffusive searcher to find a target.  In a nutshell, resetting cuts off errant trajectories that wander off in the wrong direction.
The resetting protocol can be defined  by the waiting time distribution for the  random time between two consecutive resetting events. Previously, it had been shown that deterministic resetting process with a constant time period, referred to as sharp restart, can minimize the mean first passage time to a fixed target. Here we consider the more realistic problem of a target positioned at a random distance from the resetting site, selected from a given target distribution. I will show that for a broad target distribution stochastic resetting out performs sharp reset.
MR Evans, S Ray – arXiv preprint arXiv:2410.01941, 2024
Retour en haut