By repeatedly returning a search process to a known or random state, random resetting
possesses the potential to unveil new trajectories, sidestep potential obstacles, and …

Fractional heterogeneous telegraph processes are considered in the framework of
telegrapher's equations accompanied by memory effects. The integral decomposition …

ABSTRACT “Gating” is a widely observed phenomenon in biochemistry that describes the
transition between the activated (or open) and deactivated (or closed) states of an ion …

Resetting is a strategy for boosting the speed of a target-searching process. Since its
introduction over a decade ago, most studies have been carried out under the assumption …

Classical first passage under resetting is a paradigm in the search process. Despite its
multitude of applications across interdisciplinary sciences, experimental realizations of such …

Designing navigation strategies for search-time optimization remains of interest in various
interdisciplinary branches in science. Herein, we focus on active Brownian walkers in noisy …

We study the statistical properties of a non-Markovian chiral run-and-tumble particle (CRTP)
in two dimensions in continuous space and time. In our model, the possible orientations of …

Performance modeling is a key issue in queuing theory and operation research. It is well-
known that the length of a queue that awaits service or the time spent by a job in a queue …

We study the first-passage time to the origin of a mortal Brownian particle, with mortality rate
μ, diffusing in one dimension. The particle starts its motion from x> 0 and it is subject to …

Resetting has been shown to reduce the completion time for a stochastic process, such as
the first passage time for a diffusive searcher to find a target. The time between two …