6 papers
A Homogenized Maz'ya--Shaposhnikova formula
Andrea Braides, Marco Picerni, Alec Jacopo Almo Schiavoni Piazza
We study the asymptotic behaviour of fractional Gagliardo-type energies with a periodic, bounded and bounded away from zero coefficient depending on both variables, in the joint li…
Homogenization and averaging in the Bourgain-Brezis-Mironescu limit
Andrea Braides, Stefano Mannella, Alec Jacopo Almo Schiavoni Piazza
We study the simultaneous asymptotic behaviour of homogenization and the Bourgain--Brezis--Mironescu limit for quadratic fractional energies with periodic coefficients. The functio…
Linear quadratic optimal transport and interpolation inequalities
Luca Rizzi, Alec Jacopo Almo Schiavoni Piazza
This paper investigates the optimal transport problem within the framework of Linear Quadratic optimal control systems. We establish the well-posedness of the Monge problem and ana…
Interior singularity and branching of geodesics in real-analytic sub-Riemannian manifolds
Tommaso Rossi, Alec Jacopo Almo Schiavoni Piazza, Alessandro Socionovo
We study the regularity and branching of strictly abnormal minimizing geodesics in sub-Riemannian geometry. We construct examples of real-analytic sub-Riemannian manifolds admittin…
Can the a.c.s. notion and the GLT theory handle approximated PDEs/FDEs with either moving or unbounded domains?
Andrea Adriani, Alec Jacopo Almo Schiavoni-Piazza, Stefano Serra-Capizzano +1
In the current note we consider matrix-sequences of increasing sizes depending on and equipped with a parameter . For every fixed , we assume that eac…
The Maps: Strong Clustering and Distribution Results on the Complex Unit Circle
Alec Schiavoni Piazza, David Meadon, Stefano Serra-Capizzano
In the current work, we study the eigenvalue distribution results of a class of non-normal matrix-sequences which may be viewed as a low rank perturbation, depending on a parameter…