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 study the directed polymer of length t in a random potential with fixed endpoints in
dimension 1+ 1 in the continuum and on the square lattice, by analytical and numerical …

We study the fluctuations of the largest eigenvalue λ max of N× N random matrices in the
limit of large N. The main focus is on Gaussian β ensembles, including in particular the …

We provide the first exact calculation of the height distribution at arbitrary time t of the
continuum Kardar-Parisi-Zhang (KPZ) growth equation in one dimension with flat initial …

The distribution function of the free-energy fluctuations in one-dimensional directed
polymers with δ-correlated random potential is studied by mapping the replicated problem to …

We calculate analytically the probability of large deviations from its mean of the largest
(smallest) eigenvalue of random matrices belonging to the Gaussian orthogonal, unitary …

We compute exact asymptotic results for the probability of the occurrence of large deviations
of the largest (smallest) eigenvalue of random matrices belonging to the Gaussian …

We study a system of N noninteracting spinless fermions trapped in a confining potential, in
arbitrary dimensions d and arbitrary temperature T. The presence of the confining trap …

We review recent advances in the theory of trapped fermions using techniques borrowed
from random matrix theory (RMT) and, more generally, from the theory of determinantal point …

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 …