Lattice Yang-Mills theories are important models in particle physics. They are defined on the d-dimensional lattice Z^d using a group of matrices of dimension N, and Wilson loop expectations are the f...
In questo seminario si presenterà un problema aperto di passaggio al limite da scala micro a scala macro per un problema di Mean Field Game per il traffico veicolare su reti stradali. Il problema è ca...
We discuss the unique continuation property for linear differential operators of the form sum of squares of vector fields satisfying Hörmander's bracket generating condition. We provide some negative ...
Si discute la rilevanza dei modelli, i dati ed i metodi dell'intelligenza artificiale nei problemi di previsioni ed inferenza in fisica. Le principali difficoltà nella trattazione di tali problemi son...
One of the oldest problems in dynamical systems is the stability of the Solar System. That is, consider N bodies moving following Newton's law of gravitation, one of them with large mass (the Sun) and...
Mean curvature flow is the gradient flow of the area functional where an embedded hypersurface evolves in direction of its mean curvature vector. This constitutes a natural geometric heat equation for...
In this talk, we will introduce a rigorous approach to the study of the symmetry breaking and pattern formation phenomenon for isotropic functionals with local/nonlocal interactions in competition. Mo...
Abstract: The so-called Fermi-Pasta-Ulam-Tsingou (FPUT) problem, in large, concerns the problem of the approach of a Hamiltonian system to the state of equilibrium predicted by statistical mechanics. ...
Abstract: Direct methods in the Calculus of Variations provide existence of minimizers under compactness and lower semicontinuity in suitable function spaces and topologies. Next, regularity tech...
