Abstract: Artificial Intelligence is nowadays an ubiquitous concept, with a remarkable impact in every field of science and technology. Despite this, a clear understanding of information processi...
We present our recent result on the error analysis of the finite volume Godunov method when applied to multidimensional Euler equations of gas dynamics. The main tool is to use a problem-related metri...
Solutions of many nonlinear PDE systems reveal a multiscale character; thus, their numerical resolution presents some major difficulties. Such problems are typically characterized by a small parameter...
Abstract: We present a general method, based on tools used to prove the metastable behaviour of Markov chains, to derive a full expansion of its level two large deviations rate functional, expressing ...
La convergenza in tempo lungo per equazioni di Fokker-Planck con drift confinante è un tema classico, affrontato finora sia con metodi variazionali che probabilistici. Nel seminario discuterò un nuovo...
The diffusive hydrodynamic limit of the Boltzmann equation in the low Mach number regime is usually described by the incompressible Navier-Stokes-Fourier equations. When the density and temperature at...
Fano varieties of K3 type are a special class of Fano varieties, which are usually studied for their link with hyperkähler geometry, rationality properties, and much more. In this talk, we will recap ...
Abstract: Mean field games are limit models for symmetric N-player games, as the number of players N tends to infinity. The prelimit models are usually solved in terms of Nash equilibria. A generaliza...
We consider the Euler equations for incompressible fluids in 3-dimension. A classical question that goes back to Helmholtz is to describe the evolution of vorticities with a high concentration around ...
By extending the gauge covariant magnetic perturbation theory to operators defined on half planes, we prove that for general 2d random ergodic magnetic Schrödinger operators the celebrated bulk-edge c...
