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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…