The study of singularities of minimal surfaces is a fundamental problem in Geometric Analysis, which, for decades, has been fueling some beautiful research in Differential Geometry, Geometric Measure ...
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...
The development of efficient reduced order models (ROMs) from a deep learning perspective enables users to overcome the limitations of traditional approaches. One drawback of the techniques based on c...
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....
When minimizing a regularized functional - i.e., one of the form \(H(u) = F(u) + \alpha G(u)\), where \(G\) is a regularization term and \(\alpha\) is the regularization parameter - one generally expe...
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....
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...
In this talk I present an abstract framework under which Morse theoretical methods can be applied to some non-compact variational problems by computing the difference of topology induced by "critical ...
Abstract: Optimal transport tools have been extremely powerful to study Ricci curvature, in particular Ricci lower bounds in the non-smooth setting of metric measure spaces (which can be been as a non...
Optimal transport tools have been extremely powerful to study Ricci curvature, in particular Ricci lower bounds in the non-smooth setting of metric measure spaces (which can be been as a non-smooth ex...
