38 citations · 229 across the 52 of their papers we have counts for
5 papers · 1 filter
Hölder regularity for weak solutions of Hörmander type operators
G. Citti, M. Mandredini, Y. Sire
Motivated by recent results on the (possibly conditional) regularity for time-dependent hypoelliptic equations, we prove a parabolic version of the Poincaré inequality, and as a co…
Regularity theory of quasilinear elliptic and parabolic equations in the Heisenberg group
Luca Capogna, Giovanna Citti, Xiao Zhong
This note provides a succinct survey of the existing literature concerning the Hölder regularity for the gradient of weak solutions of PDEs of the form $$\sum_{i=1}^{2n} X_i A_i(\n…
Functional architecture of M1 cells encoding 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 will mathematically express as a fiber bundle the h…
A framework for stereo vision via optimal transport
Mattia Galeotti, Alessandro Sarti, Giovanna Citti
We present a theoretical framework for a stereo vision method via optimal transport tools. We consider two aligned optical systems and we develop the matching between the two pictu…
The cortical V1 transform as a heterogeneous Poisson problem
Alessandro Sarti, Mattia Galeotti, Giovanna Citti
Receptive profiles of V1 cortical cells are very heterogeneous and act by differentiating the stimulus image as operators changing from point to point. A lightness and color consta…