We revise the classical problem of characterizing first exit times of a harmonically trapped
particle whose motion is described by a one-or multidimensional Ornstein–Uhlenbeck …

Animal spacing has important implications for population abundance, species demography
and the environment. Mechanisms underlying spatial segregation have their roots in the …

Spectral and pseudospectral methods have become increasingly popular as higher order
methods for the solution of partial differential and integral equations (Azaïez et al. 2013). A …

We consider the dynamics of lattice random walks with resetting. The walker moving
randomly on a lattice of arbitrary dimensions resets at every time step to a given site with a …

Exploiting powerful techniques from physics and mathematics, this book studies animal
movement in ecology, with a focus on epidemic spread. Pulmonary syndrome is not only …

This book provides a graduate-level introduction to three powerful and closely related
techniques in condensed matter physics: memory functions, projection operators, and the …

We consider a random walker whose motion is tethered around a focal point. We use two
models that exhibit the same spatial dependence in the steady state but widely different …

We construct an equivalent probability description of linear multi-delay Langevin equations
subject to additive Gaussian white noise. By exploiting the time-convolutionless transform …

Explicit solutions are presented in the Laplace and time domains for a one-variable Fokker–
Planck equation governing the probability density of a random walker moving in a confining …

The process of transmission of infection in epidemics is analyzed by studying a pair of
random walkers, the motion of each of which in two dimensions is confined spatially by the …