4 papers
Global hypoellipticity for a class of time-periodic operators on asymptotically Euclidean manifolds
Fernando de Ávila Silva, Matteo Bonino, Sandro Coriasco
We introduce time-periodic Gevrey-Sobolev-Kato spaces on asymptotically Euclidean manifolds and study their characterisation throughout Fourier expansions associated with suitable…
The geometry of BERT
Matteo Bonino, Giorgia Ghione, Giansalvo Cirrincione
Transformer neural networks, particularly Bidirectional Encoder Representations from Transformers (BERT), have shown remarkable performance across various tasks such as classificat…
Global hypoellipticity and solvability for a class of evolution operators in time-periodic weighted Sobolev spaces
Fernando de Ávila Silva, Matteo Bonino, Sandro Coriasco
We study the hypoellipticity and solvability properties of a class of time-periodic evolution operators, with coefficients globally defined on and growing polynomial…
Quasi-Banach Schatten-von Neumann properties in Weyl-Hörmander calculus
Matteo Bonino, Sandro Coriasco, Albin Petersson +1
We study structural properties of Wiener-Lebesgue spaces with respect to a slowly varying metrics and certain Lebesgue parameters. For , we deduce Schatten- properti…