In this review, we discuss the persistence and the related first-passage properties in
extended many-body nonequilibrium systems. Starting with simple systems with one or few …

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 …

We consider an active run-and-tumble particle (RTP) in d dimensions and compute exactly
the probability S (t) that the x component of the position of the RTP does not change sign up …

Abstract Domain walls in magnets, vortex lattices in superconductors, contact lines at
depinning, and many other systems can be modeled as an elastic system subject to …

When external stresses in a system—physical, social or virtual—are relieved through
impulsive events, it is natural to focus on the attributes of these avalanches,. However …

We consider an active run-and-tumble particle (RTP) in d dimensions, starting from the
origin and evolving over a time interval [0, t]. We examine three different models for the …

We compute exactly the mean number of records⟨ RN⟩ for a time-series of size N whose
entries represent the positions of a discrete time random walker on the line with resetting. At …

In these lecture notes I will discuss the universal first-passage properties of a simple
correlated discrete-time sequence {x0= 0, x1, x2,…, xn} up to n steps where xi represents the …

We review recent advances on the record statistics of strongly correlated time series, whose
entries denote the positions of a random walk or a Lévy flight on a line. After a brief survey of …

In this paper we study the statistical properties of convex hulls of N random points in a plane
chosen according to a given distribution. The points may be chosen independently or they …