Stochastic Resetting: Overview and Recent Developments

Explore the concept of stochastic resetting in this 44-minute conference talk delivered by Martin Evans at the Erwin Schrödinger International Institute for Mathematics and Physics. Delve into how returning a dynamical process to its initial condition can significantly alter its behavior and improve task completion times. Examine the simple example of a diffusive particle with position reset randomly in time, highlighting key features such as the emergence of a nonequilibrium stationary state and the optimization of mean target reach time. Discover recent generalizations including non-Markovian resetting and resetting with memory, along with applications to chemical reactions and search processes. Gain insights from this presentation, part of the Thematic Programme on "Large Deviations, Extremes and Anomalous Transport in Non-equilibrium Systems" held at ESI in 2022.