We consider solutions to \(-\Delta_p u=f(x)\) in \(\Omega\), when \(p\) approaches the semilinear limiting case \(p = 2\) and we get third order estimates. As a consequence we deduce improved regulari...
Centrality measures are fundamental in the study of complex networks, offering insights into the relative importance of nodes based on different connectivity patterns. In this talk, we address the pro...
According to the uniformisation theorem, in complex dimension one, there is an intimate connection between complex and hyperbolic structures. However, in higher dimensions, the two geometries diverge....
This seminar is part of the activities of the Excellence Department Project CUP B83C23001390001 and it is funded by the European Union – Next Generation EU....
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...
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’...
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...
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...
Nash systems are strongly coupled systems of semilinar parabolic equations that describe closed-loop Nash equilibria in stochastic differential games. Despite existence, uniqueness and regularity 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...
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...
The moduli space of cubic surfaces marked by their \(27\) lines admits multiple compactifications arising from different perspectives. By work of Gallardo-Kerr-Schaffler, it is known that Naruki’s cro...
