6 papers
A sub-Riemannian model of the motor cortex with Wasserstein distance
Jawad Ali, Giovanna Citti, Alessandro Sarti
This study aims to better understand the functional geometry of the motor cortex, starting from different sources of experimental evidence. Recent studies have proved that cells of…
Curvature Sensitive Cells in the Modular Structures of The Visual Cortex
Giovanna Citti, Vasiliki Liontou
We propose a model of the functional architecture of curvature-sensitive cells in the primary visual cortex. The model accounts for the modular and hierarchical organization of the…
Lipschitz regularity for solutions to an orthotropic -Laplacian-type equation in the Heisenberg group
Michele Circelli, Giovanna Citti, Albert Clop
We establish the local Lipschitz regularity for solutions to an orthotropic q-Laplacian-type equation within the Heisenberg group. Our approach is largely inspired by the works of…
Transport densities and congested optimal transport problem in the Heisenberg group
Michele Circelli, Giovanna Citti
We adapt the problem of continuous congested optimal transport to the Heisenberg group, equipped with a sub-Riemannian metric. Originally introduced in the Euclidean setting by Car…
Horizontal mean curvature flow as a scaling limit of a mean field equation in the Heisenberg group
Giovanna Citti, Nicolas Dirr, Federica Dragoni +1
We derive curvature flows in the Heisenberg group by formal asymptotic expansion of a nonlocal mean-field equation under the anisotropic rescaling of the Heisenberg group. This is…
A representation formula for regular functions on the characteristic plane of the second Heisenberg group
Annalisa Baldi, Giovanna Citti, Giovanni Cupini
The aim of this paper is to study a Laplace-type operator and its fundamental solution on the characteristic plane in the Heisenberg group . We introduce a conformal…