3 papers
math.PR2025
Optimization in the first-passage problem of a diffusion with Poissonian resetting
Mario Abundo
We address the problem of minimizing the expected first-passage time of a Brownian motion with Poissonian resetting, with respect to the resetting rate We consider both the on…
math.PR2025
Study of direct and inverse first-exit problems for drifted Brownian motion with Poissonian resetting
Mario Abundo
\noindent We address some direct and inverse problems, for the first-exit time (FET) of a drifted Brownian motion with Poissonian resetting from an interval $(0,b…
math.PR2024
Inverse first-passage problems of a diffusion with resetting
Mario Abundo
We address some inverse problems for the first-passage place and the first-passage time of a one-dimensional diffusion process with stochastic resetting, starting f…