Author

P. Bressloff

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Preprint Sep 2026

Persistence, resetting, and first-passage times of an active Ornstein--Uhlenbeck particle

We study the first-passage time statistics of an active Ornstein--Uhlenbeck particle on a finite one-dimensional interval with an absorbing boundary at one end and a reflecting boundary at the other, subject to stochastic resetting. In the weak-activity regime, we develop a perturbative solution of the Fokker--Planck e...

Demosthenes K. Georgiou, P. Bressloff, Thibault Bertrand · 0 citations

Preprint Sep 2026

Approach to Steady-State in Nested Resetting Processes

We characterise the approach to nonequilibrium steady state in nested resetting processes by deriving accumulation times for the system, which quantify the effective first-passage time for the local establishment of steady state. For equal resetting rates, we obtain closed-form expressions showing that relaxation propa...

Callum Britton, B. Le Jeune, Henry Alston et al. · 0 citations

Preprint Sep 2026

Slow-fast dynamics of the McKean model with stochastic resetting and diffusion

In this paper we investigate the combined effects of stochastic resetting and diffusion on a slow--fast dynamical system given by the piecewise-linear McKean model. That is, the fast variable $v$ is subject to Gaussian white noise with effective diffusivity $D$ and is reset to a fixed value $v_r$ at a random sequence o...

Jude Swaby, P. Bressloff · 0 citations