2 papers
math.OC2026
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…
math.DG2026
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…