200 citations · 1.3k across the 46 of their papers we have counts for
12 papers · 1 filter
The convex hull of the run-and-tumble particle in a plane
Alexander K Hartmann, Satya N Majumdar, Hendrik Schawe +1
We study the statistical properties of the convex hull of a planar run-and-tumble particle (RTP), also known as the "persistent random walk", where the particle/walker runs ballist…
Exact stationary state of a run-and-tumble particle with three internal states in a harmonic trap
Urna Basu, Satya N. Majumdar, Alberto Rosso +2
We study the motion of a one-dimensional run-and-tumble particle with three discrete internal states in the presence of a harmonic trap of stiffness The three internal states,…
Extreme value statistics of correlated random variables: a pedagogical review
Satya N. Majumdar, Arnab Pal, Gregory Schehr
Extreme value statistics (EVS) concerns the study of the statistics of the maximum or the minimum of a set of random variables. This is an important problem for any time-series and…
Stochastic Resetting and Applications
Martin R. Evans, Satya N. Majumdar, Gregory Schehr
In this Topical Review we consider stochastic processes under resetting, which have attracted a lot of attention in recent years. We begin with the simple example of a diffusive pa…
Long time position distribution of an active Brownian particle in two dimensions
Urna Basu, Satya N. Majumdar, Alberto Rosso +1
We study the late time dynamics of a single active Brownian particle in two dimensions with speed and rotation diffusion constant . We show that at late times $t\gg D_R^…
Time between the maximum and the minimum of a stochastic process
Francesco Mori, Satya N. Majumdar, Gregory Schehr
We present an exact solution for the probability density function of the time-difference between the minimum and the maximum of a one-dimensional Brownia…