4 papers · 1 filter
Cortical-inspired Wilson-Cowan-type equations for orientation-dependent contrast perception modelling
Marcelo Bertalmío, Luca Calatroni, Valentina Franceschi +2
We consider the evolution model proposed in [9, 6] to describe illusory contrast perception phenomena induced by surrounding orientations. Firstly, we highlight its analogies and d…
Visual illusions via neural dynamics: Wilson-Cowan-type models and the efficient representation principle
Marcelo Bertalmío, Luca Calatroni, Valentina Franceschi +3
In this work we have aimed to reproduce supra-threshold perception phenomena, specifically visual illusions, with Wilson-Cowan-type models of neuronal dynamics. We have found that…
Hardy-type inequalities for the Carnot-Carathéodory distance in the Heisenberg group
Valentina Franceschi, Dario Prandi
In this paper we study various Hardy inequalities in the Heisenberg group , w.r.t. the Carnot-Carathéodory distance from the origin. We firstly show that the optim…
Point interactions for 3D sub-Laplacians
Riccardo Adami, Ugo Boscain, Valentina Franceschi +1
In this paper we show that, for a sub-Laplacian on a -dimensional manifold , no point interaction centered at a point exists. When is complete w.r.t. the a…