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Replacing the integer parameter in the family of chi square distributions by a continuous parameter leads to the family of the gamma distributions. A similar phenomena occurs with the non central chi ...

The Kolmogorov 1941 theory (K41) is, in a way, the starting point for all models of turbulence. In particular, K41 and corrections to it provide estimates of small-scale quantities such as increments ...

We examine atypical current fluctuations in totally asymmetric zero-range processes in one dimension with periodic boundary conditions. The zero-range processes is a stochastic lattice gas in which ea...

We introduce a notion of gradient and an infimal-convolution operator that extend properties of solutions of Hamilton Jacobi equations to more general spaces, in particular to graphs. As a main applic...

We discuss and stress the role of ultramodularity in special types of constructions of binary copulas. After recalling of some known ultamodularity-based results, we focus on a the so-called D-product...

We establish here a Quantitative Central Limit Theorem (in Wasserstein distance) for the Euler-Poincaré Characteristic of excursion sets of random spherical eigenfunctions in dimension 2. Our proof i...

Abstract: We study the limiting distribution, in the high energy limit, of critical points and extrema of random spherical harmonics. In particular, we first derive the density functions of extrema an...

Abstract: In this talk we consider a stochastic point process $i + \xi_i$, where $i\in \mathbb{N}$ and the $\xi_i's$ are i.i.d exponential random variables with standard deviation $\sigma$. Some prope...

Si consideri l'equazione di Allen-Cahn in dimensione d=2 o d=3. Effettuando un riscalamento diffusivo, per dati iniziali opportuni, la dinamica limite dell'interfaccia tra le due fasi stabili e' descr...

The discovery of a conditional iid structure allows the understanding of the dependence contained in a d-v$...