3 papers
math.OC2026
Convex Hulls of Reachable Sets
Thomas Lew, Riccardo Bonalli, Marco Pavone
We study the convex hulls of reachable sets of nonlinear systems with bounded disturbances and uncertain initial conditions. Reachable sets play a critical role in control, but rem…
math.DG2025
Spectral properties of magnetic fields on sub-Riemannian contact manifolds
Riccardo Bonalli, Dario Prandi
Motivated by some recent studies of the magnetic Laplacian on Riemannian manifolds, we focus on the first eigenvalue of the magnetic horizontal Laplacian on contact manifolds. We c…
math.OC2025
A Characterization of Law-Invariant and Coherent Risk Measures through Optimal Transport
Riccardo Bonalli, Benoît Bonnet-Weill, Laurent Pfeiffer
In this article, we propose a novel characterization of law-invariant and coherent risk measures, based on a generalized optimal transport problem in which the second marginal of t…