Stochastic Resetting: A (Very) Brief Review

Stochastic processes offer a fundamentally different paradigm of dynamics than deterministic processes, the most prominent example latter being Newton's laws motion. Here, we discuss in pedagogical manner simple and illustrative stochastic form particle undergoing standard Brownian diffusion, with additional feature resetting repeatedly at random times to its initial condition. Over years, many variants this setting have been studied, all which serve as illustrations non-trivial interesting static dynamic features that characterize long times. We will provide work brief overview active rapidly evolving field by considering arguably simplest diffusion one dimension. Along way, learn about some general techniques physicist employs study processes. Relevant special issue, detail how introducing an otherwise diffusive provides explicit optimization time locate target through choice protocol. also thermodynamics resetting, bird's eye view recent resetting.