Dresden 2026 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 9: Statistical Physics far from Thermal Equilibrium I
DY 9.2: Talk
Monday, March 9, 2026, 09:45–10:00, ZEU/0160
Nested Stochastic Resetting: Nonequilibrium Steady States and Exact Correlations — •Callum Britton1, Henry Alston2, and Thibault Bertrand1 — 1Imperial College London, London, United Kingdom — 2Laboratoire de Physique de l’Ecole Normale Supérieure, Paris, France
Stochastic resetting has gained a lot of traction over the past few years. It has been shown to drive the formation of nonequilibrium steady states and the optimization of first-passage properties in an analytically tractable setting. Yet, most works have thus far focused on single-particle stochastic resetting. In this talk, we introduce nested stochastic resetting, an exactly solvable, many-body stochastic resetting model achieved by harnessing resets as unilateral interactions between particles. We look at a system of n particles, where the position of particle i is independently reset to the instantaneous position of particle i−1 according to a Poisson process. We derive analytically the steady-state statistics of these nested stochastic resetting processes including the stationary distribution for each process as well as its moments. In this system, we go one step further and calculate exactly the steady-state two-point correlations ⟨ xi xj ⟩ between processes by mapping the problem to one of the ordering statistics of random counting processes. We expect this framework will both help build a model-independent framework for random processes with unilateral interactions and find immediate applications, e.g., in the modelling of lossy information propagation.
Keywords: Stochastic resetting; Statistical mechanics; Condensed matter; Nonequilibrium steady state