Stochastic processes offer a fundamentally different paradigm of dynamics than
deterministic processes that one is most familiar with, the most prominent example of the …

The remaining travel time of a plane shortens with every minute that passes from its
departure, and a flame diminishes a candle with every second it burns. Such everyday …

Stochastic resetting is a rapidly develo** topic in the field of stochastic processes and their
applications. It denotes the occasional reset of a diffusing particle to its starting point and …

First passage under restart has recently emerged as a conceptual framework to study
various stochastic processes under restart mechanism. Emanating from the canonical …

In this article, we present a survey of different types of random walk models with local and
non-local transitions on undirected weighted networks. We present a general approach by …

We derive a thermodynamic uncertainty relation (TUR) for systems with unidirectional
transitions. The uncertainty relation involves a mixture of thermodynamic and dynamic terms …

We study the non-equilibrium steady states (NESS) and first passage properties of a
Brownian particle with position X subject to an external confining potential of the form V (X) …

We propose a universal framework to compute record age statistics of a stochastic time
series that undergoes random restarts. The proposed framework makes minimal …

The transport of particles through channels is of paramount importance in physics,
chemistry, and surface science due to its broad real world applications. Much insight can be …

Inspired by many examples in nature, stochastic resetting of random processes has been
studied extensively in the past decade. In particular, various models of stochastic particle …