4 papers
Analysis of the Quasi-Static Maxwell Equations in Resistive Solid-State Particle Detectors
Alessandro Rosa
We solve a boundary value problem arising from Maxwell's equations in the quasi-static approximation, which governs the time evolution of the so-called weighting potential $V_{\mat…
-Hodge decomposition and global integral estimates on the Cartan group
Annalisa Baldi, Alessandro Rosa
The study of Sobolev and Poincaré inequalities for differential forms in Carnot groups and in the more general sub-Riemannian setting is still an open problem in its full generali…
Physics Informed Neural Networks for design optimisation of diamond particle detectors for charged particle fast-tracking at high luminosity hadron colliders
Alessandro Bombini, Alessandro Rosa, Clarissa Buti +2
Future high-luminosity hadron colliders demand tracking detectors with extreme radiation tolerance, high spatial precision, and sub-nanosecond timing. 3D diamond pixel sensors offe…
-Hodge Decomposition with Sobolev classes in Sub-Riemannian Contact Manifolds
Annalisa Baldi, Alessandro Rosa
Let . In this article we establish an -Hodge decomposition theorem on sub-Riemannian compact contact manifolds without boundary, related to the Rumin complex of di…