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• W3010636260 endingPage "193001" @default.
• W3010636260 startingPage "193001" @default.
• W3010636260 abstract "In this Topical Review we consider stochastic processes under resetting, which have attracted a lot of attention in recent years. We begin with the simple example of a diffusive particle whose position is reset randomly in time with a constant rate $r$, which corresponds to Poissonian resetting, to some fixed point (e.g. its initial position). This simple system already exhibits the main features of interest induced by resetting: (i) the system reaches a nontrivial nonequilibrium stationary state (ii) the mean time for the particle to reach a target is finite and has a minimum, optimal, value as a function of the resetting rate $r$. We then generalise to an arbitrary stochastic process (e.g. L'evy flights or fractional Brownian motion) and non-Poissonian resetting (e.g. power-law waiting time distribution for intervals between resetting events). We go on to discuss multiparticle systems as well as extended systems, such as fluctuating interfaces, under resetting. We also consider resetting with memory which implies resetting the process to some randomly selected previous time. Finally we give an overview of recent developments and applications in the field." @default.
• W3010636260 created "2020-03-13" @default.
• W3010636260 creator A5012513905 @default.
• W3010636260 creator A5029182034 @default.
• W3010636260 creator A5047748977 @default.
• W3010636260 date "2020-04-20" @default.
• W3010636260 modified "2023-10-17" @default.
• W3010636260 title "Stochastic resetting and applications" @default.
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