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SUMMARY:Stochastic resetting: how to avoid wandering off in the wrong dire
 ction - Martin Evans (University of Edinburgh)
DTSTART:20230703T140000Z
DTEND:20230703T143000Z
UID:TALK201094@talks.cam.ac.uk
DESCRIPTION:In this talk I will review the idea of stochastic resetting: b
 y returning some dynamical process to its initial condition one can signif
 icantly change the behaviour of the process and indeed improve the typical
  time to complete some complex task. The essence of the idea is that by re
 setting one cuts off errant trajectories.I will discuss the simple example
  of a diffusive particle whose position is reset randomly in time with a c
 onstant rate r to some fixed point (e.g. its initial position). This simpl
 e system already exhibits the main features of interest induced by resetti
 ng:&nbsp\; &nbsp\; &nbsp\; &nbsp\; (i) the system reaches a nontrivial non
 equilibrium stationary state&nbsp\; &nbsp\; &nbsp\; &nbsp\; (ii) the mean 
 time for the particle to reach a target is rendered finite and has a minim
 um\, optimal\, value as a function of the resetting rate r.I will discuss 
 recent developments including considering an additive resetting cost.
LOCATION:Seminar Room 1\, Newton Institute
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