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: 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...
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...
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,...
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...
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...
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...
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...