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 …

While averages and typical fluctuations often play a major role in understanding the
behavior of a nonequilibrium system, this nonetheless is not always true. Rare events and …

Heterogeneous diffusion with a spatially changing diffusion coefficient arises in many
experimental systems such as protein dynamics in the cell cytoplasm, mobility of cajal …

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 …

We study the extreme value statistics of a one-dimensional resetting Brownian motion (RBM)
till its first passage through the origin starting from the position x 0 (> 0). By deriving the exit …

Understanding the physical principles that govern the complex DNA structural organization
as well as its mechanical and thermodynamical properties is essential for the advancement …

Extreme value (EV) statistics of correlated systems are widely investigated in many fields,
spanning the spectrum from weather forecasting to earthquake prediction. Does the …

We investigate extreme value theory for physical systems with a global conservation law
which describes renewal processes, mass transport models, and long-range interacting spin …

Mixed order transitions are those which show a discontinuity of the order parameter as well
as a divergent correlation length at the transition (critical) point. We show that the behavior of …

We consider the extreme value statistics of N independent and identically distributed
random variables, which is a classic problem in probability theory. When N→∞, fluctuations …