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 …

We study the effects of stochastic resetting on geometric Brownian motion with drift (GBM), a
canonical stochastic multiplicative process for nonstationary and nonergodic dynamics …

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

Motion under stochastic resetting serves to model a myriad of processes in physics and
beyond, but in most cases studied to date resetting to the origin was assumed to take zero …

Markov processes restarted or reset at random times to a fixed state or region in space have
been actively studied recently in connection with random searches, foraging, and population …

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 …

We study a passenger–taxi problem in this paper. The objective to maximize the social
welfare and optimize the allocation of taxi market resources. We analyze the strategic …

We study the large deviations of additive quantities, such as energy or current, in stochastic
processes with intermittent reset. Via a mapping from a discrete-time reset process to 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 …

In this paper, we study the Markovian queuing system with heterogeneous servers and
catastrophes. The customers arrive according to a Poisson process and the service times …