The large-scale structure of many turbulent flows encountered in practical situations such as
aeronautics, industry, meteorology is nowadays successfully computed using the …

Stochastic motion of a point–known as Brownian motion–has many successful applications
in science, thanks to its scale invariance and consequent universal features such as …

We provide a comprehensive report on scale-invariant fluctuations of growing interfaces in
liquid-crystal turbulence, for which we recently found evidence that they belong to the Kardar …

The big-jump principle is a well-established mathematical result for sums of independent
and identically distributed random variables extracted from a fat-tailed distribution. It states …

It is often said that “granular matter is ubiquitous”. Many natural components and human
products look and behave like grains: stones, debris, soils, on the one hand; food …

Ultra-high energy cosmic rays (UHECRs) interacting with the atmosphere generate
extensive air showers (EAS) of secondary particles. The depth corresponding to the …

The copy number of any protein fluctuates among cells in a population; characterizing and
understanding these fluctuations is a fundamental problem in biophysics. We show here that …

We derive exact predictions for universal scaling exponents and scaling functions
associated with the statistics of maximum velocities vm during avalanches described by the …

In many biological systems, a chemical or physiological reaction can be triggered in full by a
singular event when a motile agent, be it a diffusing molecule or a swimming cell, reaches …

In this paper we perform an analytical and numerical study of Extreme Value distributions in
discrete dynamical systems. In this setting, recent works have shown how to get a statistics …