The motion of run-and-tumble particles in one-dimensional finite domains are analyzed in
the presence of generic boundary conditions. These describe accumulation at walls, where …

Abstract The Arcsine laws of Brownian motion are a collection of results describing three
different statistical quantities of one-dimensional Brownian motion: the time at which the …

We study the extreme value statistics of a one-dimensional resetting Brownian motion (RBM)
till its first passage through the origin starting from the position x 0 (> 0). By deriving the exit …

Siegmund duality for physicists: a bridge between spatial and first-passage properties of
continuous- and discrete-time stochastic processes - IOPscience Skip to content IOP Science …

Tracer dynamics in the active random average process - IOPscience Skip to content IOP
Science home Accessibility Help Search Journals Journals list Browse more than 100 …

The connection between absorbing boundary conditions and hard walls is well established
in the mathematical literature for a variety of stochastic models, including for instance the …

We study a one-dimensional run-and-tumble particle (RTP), which is a prototypical model for
active system, moving within an arbitrary external potential. Using backward Fokker-Planck …

We consider a generic one-dimensional stochastic process $ x (t) $, or a random walk $ X_n
$, which describes the position of a particle evolving inside an interval $[a, b] $, with …

In this work, we investigate the extreme value statistics of a one-dimensional Brownian
motion (with the diffusion constant D) during a time interval 0, t in the presence of a reflective …

In this work, we consider one-dimensional resetting Brownian motion confined in a unit
interval with absorbing boundaries at both ends. The Brownian particle is reset to the …