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math.OC2025
Benamou-Brenier and Kantorovich on sub-Riemannian manifolds with no abnormal geodesics
Giovanna Citti, Mattia Galeotti, Andrea Pinamonti
We prove that the Benamou-Brenier formulation of the Optimal Transport problem and the Kantorovich formulation are equivalent on a sub-Riemannian connected and complete manifold $M…
q-bio.NC2025
A sub-Riemannian model of neural states in the primary motor cortex
Caterina Mazzetti, Jawad Ali, Alessandro Sarti +1
We develop a neurogeometric model for the arm area of motor cortex, which encodes complex motor primitives, ranging from simple movement features like movement direction, to short…