Cover time statistics of one-dimensional Brownian motion under stochastic resetting (opens in new tab)

We investigate the effect of stochastic resetting on the statistics of the cover time of a one-dimensional Brownian motion with a diffusion constant $D$, confined to a finite interval of length $L$. The cover time $t_c$, defined as the minimum time required for the particle to visit every point of the interval at least once, exhibits a non-monotonic dependence on the scaled reset rate $\rho = rL^2/4D$. The scaled mean cover time $4D\langle t_c\r...