Top-level heading

On the critical values of random spherical harmonics.

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...

Shape Memory Polymer Composites for Aerospace Applications

Abstract: Shape memory polymers and their composites (SMPs and SMPCs) belong to a new class of smart materials, which can have interesting applications as expandable/deployable structures and light ac...

Topological states in wave propagation: an introduction

Abstract: Topological insulators are materials where the bulk propagation of waves is twisted in a particular, topological way. At an interface between systems with different topologies, edge states w...

A Quantitative Central Limit Theorem for the Euler-Poincaré Characteristic of Random Spherical Eigenfunctions

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...

Lattice gas Sherrington-Kirkpatrick system

Abstract: We study a system in which the hamiltonian has exactly the form of the Sherrington-Kirkpatrick spin glass system but each spin takes value in the set {0,1}{0,1} instead of the set {−1,1}{−1,...

Equazioni lineari matriciali: proprietà, aspetti numerici e applicazioni

Le equazioni matriciali lineari, quali le equazioni di Silvester e di Lyapunov e le loro generalizzazioni, hanno un ruolo fondamentale nell'analisi di sistemi dinamici, nella teoria del controllo, nei...

Metastable regimes of diffusion processes

I will discuss some old and new results concerning a classical example featuring a metastable behavior: finite-dimensional diffusion processes in the vanishing noise limit. Sharp estimates have been i...

Algoritmo

con la collaborazione di Elena Savinelli e Luca Sbano...

Convergence of Mayer and virial expansions and the Penrose tree-graph identity

Abstract: We establish new lower bounds for the convergence radius of the Mayer series and the Virial series of a continuous particle system interacting via a stable and tempered pair potential. Our b...

Bayesian nonparametric inference with heterogeneous data

The talk provides an overview of some recent work on random probability measure vectors and their role in Bayesian statistics. Indeed, dependent nonparametric priors are useful tools for drawing infer...

Conditional iid structures in exchangeable multivariate distributions: from Marshall-Olkin to 'load sharing' $

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