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math.AP2025
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…
cs.LG2025
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…
math.AP2025
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…