38 citations · 229 across the 52 of their papers we have counts for
61 papers
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…
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…
Individuation of 3D perceptual units from neurogeometry of binocular cells
Maria Virginia Bolelli, Giovanna Citti, Alessandro Sarti +1
We model the functional architecture of the early stages of three-dimensional vision by extending the neurogeometric sub-Riemannian model for stereo-vision introduced in \cite{BCSZ…
Cortical Functional architectures as contact and sub-Riemannian geometry
Giovanna Citti, Alessandro Sarti
In a joint paper, Jean Petitot together with the authors of the present paper described the functional geometry of the visual cortex as the symplectization of a contact form to des…
A sub-Riemannian model of the functional architecture of M1 for arm movement direction
Caterina Mazzetti, Alessandro Sarti, Giovanna Citti
In this paper we propose a neurogeometrical model of the behaviour of cells of the arm area of the primary motor cortex (M1). We mathematically express the hypercolumnar organizati…
Internal Schauder estimates for Hörmander type equations with Dini continuous source
Giovanna Citti, Bianca Stroffolini
We study the regularity properties of a general second order Hörmander operator with Dini continous coefficients . Precisely if are smooth self adjoin…