Demosthenes K. Georgiou

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...