38 citations · 229 across the 52 of their papers we have counts for
4 papers · 1 filter
Coherent states of the Euclidean group and activation regions of primary visual cortex
Davide Barbieri, Giovanna Citti, Gonzalo Sanguinetti +1
The uncertainty principle of SE(2) allows to construct a coherent states transform that is strictly related to the Bargmann transform for the second Heisenberg group H2. The corres…
Regularity of minimal intrinsic graphs in 3 dimensional sub-Riemannian structures of step 2
Davide Barbieri, Giovanna Citti
This work provides a characterization of the regularity of noncharacteristic intrinsic minimal graphs for a class of vector fields that includes non nilpotent Lie algebras as the o…
A Subelliptic Analogue of Aronson-Serrin's Harnack Inequality
Luca Capogna, Giovanna Citti, Garrett Rea
We show that the Harnack inequality for a class of degenerate parabolic quasilinear PDE $$\p_t u=-X_i^* A_i(x,t,u,Xu)+ B(x,t,u,Xu),$$ associated to a system of Lipschitz continuous…
Constant mean curvature graphs on exterior domains of the hyperbolic plane
Giovanna Citti, Cosimo Senni
We prove an existence result for non rotational constant mean curvature ends in , where is the hyperbolic real plane. The value of th…