Motion under stochastic resetting serves to model a myriad of processes in physics and
beyond, but in most cases studied to date resetting to the origin was assumed to take zero …

The mean-square displacement (MSD) is widely utilized to study the dynamical properties of
stochastic processes. The time-averaged MSD (TAMSD) provides some information on the …

We examine renewal processes with power-law waiting time distributions (WTDs) and non-
zero drift via computing analytically and by computer simulations their ensemble and time …

We study a method for detecting the origins of anomalous diffusion, when it is observed in
an ensemble of times-series, generated experimentally or numerically, without having …

With subrecoil-laser-cooled atoms, one may reach nanokelvin temperatures while the
ergodic properties of these systems do not follow usual statistical laws. Instead, due to an …

We propose an analytical method to determine the shape of density profiles in the
asymptotic long-time limit for a broad class of coupled continuous-time random walks which …

We report on a fundamental role of a non-normalized formal steady state, ie, an infinite
invariant density, in a semi-Markov process where the state is determined by the interevent …

We provide analytical results for the ensemble-averaged and time-averaged squared
displacement, and the randomness of the latter, in the full two-dimensional parameter space …

We consider the Langevin equation with dichotomously fluctuating diffusivity, where the
diffusion coefficient changes dichotomously over time, in order to study fluctuations of time …

In recent years it was shown both theoretically and experimentally that in certain systems
exhibiting anomalous diffusion the time-and ensemble-averaged mean-squared …