Diffusion approximation for systems with resetting
Stochastic processes subject to random resetting are actively being studied by a sizeable community of researchers. A considerable theoretical apparatus has been developed, various applications have been identified, and there are emerging experiments on systems with resetting.
In the first part of the talk I will introduce processes with resetting. I will summarise a small selection of known phenomena from the literature, and the methods with which to study these phenomena. In the second part I will present some of my own work-in-progress on diffusion approximations for processes with frequent small resets (or catastrophes in population dynamics). I will describe how the diffusion approximation captures some known effects, and I will also summarise how it can be used to characterise phenomena that have not yet been reported in systems with resetting, such as resetting-induced cycles and patterns.
This Talk will be broadcasted in the following zoom link: https://us06web.zoom.us/j/89027654460?pwd=Wg9TYMPqqP2ipfj2JVvEagmzaTw29c.1
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