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30 papers · 2 filters
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…
Statistics of first-passage Brownian functionals
Satya N. Majumdar, Baruch Meerson
We study the distribution of first-passage functionals , where is a Brownian motion (with or without drift) with diffusion constant ,…
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…
Localization transition in the Discrete Non-Linear Schrödinger Equation: ensembles inequivalence and negative temperatures
Giacomo Gradenigo, Stefano Iubini, Roberto Livi +1
We present a detailed account of a first-order localization transition in the Discrete Nonlinear Schrödinger Equation, where the localized phase is associated to the high energy re…