4 citations · 6 across the 10 of their papers we have counts for
13 papers
Perturbation from symmetry for semiconvex lower-order partial-wave nonlinear Dirac equations
Francesco Paolo Maiale
We study strongly indefinite nonlinear Dirac functionals in the lowest partial-wave channel with radial coefficients in . The symmetric model has the exact power nonli…
A note on harmonic polynomials on Heisenberg and Carnot groups
Francesco Paolo Maiale
We study harmonic polynomial traces on Korányi spheres in the Heisenberg groups and polynomial trace filtrations on general Carnot groups. The homogeneous harmonic trace spaces are…
Approximation bounds for norm constrained deep neural networks
Francesco Paolo Maiale, Anastasiia Trofimova, Arturo De Marinis
This paper studies the approximation capacity of neural networks with an arbitrary activation function and with norm constraint on the weights. Upper and lower bounds on the approx…
Probabilistic Analysis of the Random Spectral Radius for a Matrix Family
Francesco Paolo Maiale, Anastasiia Trofimova, Nicola Guglielmi
We investigate joint spectral characteristics of a family of matrices , associated with products in the semigroup generated by . In the literature, extrema…
Gripenberg-like algorithm for the lower spectral radius
Nicola Guglielmi, Francesco Paolo Maiale
This article presents an extended algorithm for computing the lower spectral radius of finite, non-negative matrix sets. Given a set of matrices $\mathcal{F} = \{A_1, \ldots, A_m\}…
Regularity of the optimal sets for a class of integral shape functionals
Giuseppe Buttazzo, Francesco Paolo Maiale, Dario Mazzoleni +2
We prove {the first} regularity theorem for the free boundary of solutions to shape optimization problems involving integral functionals, for which the energy of a domain is ob…