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 …

A hybrid asymptotic-numerical method is presented for obtaining an asymptotic estimate for
the full probability distribution of capture times of a random walker by multiple small traps …

We study the first passage time problem for a diffusing molecule in an enclosed region to hit
a small spherical target whose surface contains many small absorbing traps. This study is …

Motivated by various cellular transport processes, we consider diffusion in a potential and
analyze the escape time to boundaries that randomly switch between absorbing and …

Calculating the time required for a diffusing object to reach a small target within a larger
domain is a feature of a large class of modeling and simulation efforts in biology. Here, we …

Many viruses must enter the cell nucleus through small nanopores in order to replicate. We
model here the viral motion as a stochastic process described by the Survival Fokker …

The problem of determination of globally optimal arrangements of N pairwise-interacting
particles arises in a variety of biological, physical, and chemical applications. At the same …

Narrow escape problems consider the calculation of the mean first passage time (MFPT) for
a particle undergoing Brownian motion in a domain with a boundary that is everywhere …

The narrow escape problem is a first-passage problem that concerns the calculation of the
time needed for a Brownian particle to leave a domain with localized absorbing boundary …

The Lévy flight foraging hypothesis asserts that biological organisms have evolved to
employ (truncated) Lévy flight searches due to such strategies being more efficient than …