4 citations · 7 across the 12 of their papers we have counts for
14 papers
Euler discretizations, invariant faces and brackets for lower exponents of positive switched systems
Francesco Paolo Maiale
In this paper, we prove that explicit and implicit Euler discretizations yield monotone brackets for the lower Lyapunov exponent of positive switched systems. We establish converge…
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…
The boundary Harnack principle on optimal domains
Francesco Paolo Maiale, Giorgio Tortone, Bozhidar Velichkov
We give a short and self-contained proof of the Boundary Harnack inequality for a class of domains satisfying some geometric conditions given in terms of a state function that beha…
Epsilon-regularity for the solutions of a free boundary system
Francesco Paolo Maiale, Giorgio Tortone, Bozhidar Velichkov
This paper is dedicated to a free boundary system arising in the study of a class of shape optimization problems. The problem involves three variables: two functions and , a…
Shape optimization problems in control form
Giuseppe Buttazzo, Francesco Paolo Maiale, Bozhidar Velichkov
We consider a shape optimization problem written in the optimal control form: the governing operator is the -Laplacian in the Euclidean space , the cost is of an integral…
-rectifiability in low codimension in Heisenberg groups
Kennedy Obinna Idu, Francesco Paolo Maiale
A natural notion of higher order rectifiability is introduced for subsets of Heisenberg groups in terms of covering a set almost everywhere by a countable union of $…
Characterizations of -rectifiability in homogenous groups
Kennedy Obinna Idu, Valentino Magnani, Francesco Paolo Maiale
A well known notion of -rectifiable set can be formulated in any metric space using Lipschitz images of subsets of . We prove some characterizations of -rectifi…
Shape optimization problems for functionals with a boundary integral
Giuseppe Buttazzo, Francesco Paolo Maiale
We consider shape optimization problems for general integral functionals of the calculus of variations that may contain a boundary term. In particular, this class includes optimiza…
Optimal one-dimensional structures for the principal eigenvalue of two-dimensional domains
Giuseppe Buttazzo, Francesco Paolo Maiale
A shape optimization problem arising from the optimal reinforcement of a membrane by means of one-dimensional stiffeners or from the fastest cooling of a two-dimensional object by…