In this topical review we consider stochastic processes under resetting, which have attracted
a lot of attention in recent years. We begin with the simple example of a diffusive particle …

The interior of a living cell is a crowded, heterogenuous, fluctuating environment. Hence, a
major challenge in modeling intracellular transport is to analyze stochastic processes within …

One of the major challenges in modern biology is to understand how the molecular
components of a living cell operate in a highly noisy environment. What are the specific …

This review examines intermittent target search strategies, which combine phases of slow
motion, allowing the searcher to detect the target, and phases of fast motion during which …

We study analytically an intermittent search process in one dimension. There is an immobile
target at the origin and a searcher undergoes a discrete time jump process starting at x 0≥ …

Subdiffusive processes have become a field of great interest in the last decades, due to
amounting experimental evidence of subdiffusive behavior in complex systems, and …

We consider the mean time to absorption by an absorbing target of a diffusive particle with
the addition of a process whereby the particle is reset to its initial position with rate r. We …

How long does it take a random walker to reach a given target point? This quantity, known
as a first-passage time (FPT), has led to a growing number of theoretical investigations over …

A number of vital biological processes rely on fast and precise recognition of a specific DNA
sequence (site) by a protein. How can a protein find its site on a long DNA molecule among …

We present a general theory which allows one to accurately evaluate the mean first-passage
time (FPT) for regular random walks in bounded domains, and its extensions to related first …