3 papers
q-bio.NC2026
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…
math.AP2024
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…
math.AP2024
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…