How do near-bankruptcy events in the past affect the dynamics of stock-market prices in the
future? Specifically, what are the long-time properties of a time-local exponential growth of …

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

This paper is largely a review. It considers two main methods used to study stability and to
obtain appropriate quantitative estimates of perturbations of (inhomogeneous) Markov …

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 …

What determines the average length of a queue, which stretches in front of a service station?
The answer to this question clearly depends on the average rate at which jobs arrive at the …

This study delves into the impact of natural disasters on affected populations and
underscores the imperative of reducing disaster-related fatalities through proactive …

We investigate the effects of the resetting mechanism to the origin for a random motion on
the real line characterized by two alternating velocities v 1 and v 2. We assume that the …

We consider a continuous-time Ehrenfest model defined over the integers from-NN to N, and
subject to catastrophes occurring at constant rate. The effect of each catastrophe …

Consider a system performing a continuous-time random walk on the integers, subject to
catastrophes occurring at constant rate, and followed by exponentially-distributed repair …

A queueing model with catastrophes and delayed action is studied in this paper. This
delayed action could be in the form of protecting or removing all the customers that are in the …