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...
Abstract: In this talk I will give an overview of the main results related to the homogenization of viscous and nonviscous Hamilton-Jacobi equations, in the periodic and in the stationary ergodic...
Abstract: Topological defects in condensed matter systems are, loosely speaking, localised structures - carrying a topological invariant - where the typical order of the system is broken. In this...
The Zilber-Pink conjecture is a very general statement that implies many well-known results in diophantine geometry, e.g., Manin-Mumford, Mordell-Lang, André-Oort and Falting's Theorem. It explains th...
Essere o non essere? vero o falso? creatività o plagio? opera originale o copia? Lo sviluppo di nuovi modelli di Intelligenza Artificiale Generativa ci pone quotidianamente difronte a ‘dati sintetici’...
We analyze the problem of controlling a multiagent system with additive white noise through parsimonious interventions on a selected subset of the agents (leaders). For such a controlled system with a...
