49 citations · 99 across the 3 of their papers we have counts for
5 papers · 1 filter
Extremal statistics for stochastic resetting systems
Prashant Singh, Arnab Pal
While averages and typical fluctuations often play a major role to understand the behavior of a non-equilibrium system, this nonetheless is not always true. Rare events and large f…
Local time for run and tumble particle
Prashant Singh, Anupam Kundu
We investigate the local time statistics for a run and tumble particle in an one dimensional inhomogeneous medium. The inhomogeneity is introduced by considering the po…
Random acceleration process under stochastic resetting
Prashant Singh
We consider the motion of a randomly accelerated particle in one dimension under stochastic resetting mechanism. Denoting the position and velocity by and respectively, we…
Run-and-Tumble particle in inhomogeneous media in one dimension
Prashant Singh, Sanjib Sabhapandit, Anupam Kundu
We investigate the run and tumble particle (RTP), also known as persistent Brownian motion, in one dimension. A telegraphic noise drives the particle which changes between $…
Generalised `Arcsine' laws for run-and-tumble particle in one dimension
Prashant Singh, Anupam Kundu
The 'Arcsine' laws of Brownian particles in one dimension describe distributions of three quantities: the time to reach maximum position, the time spent on the positive…