38 citations · 220 across the 25 of their papers we have counts for
30 papers
Unweighted Hardy Inequalities on the Heisenberg Group and in Step-Two Carnot Groups
Lorenzo d'Arca, Luca Fanelli, Valentina Franceschi +1
We establish unweighted Hardy-type inequalities on step-two Carnot groups with one-dimensional vertical layer, with explicit lower bounds for the optimal Hardy constant. The approa…
Spectral properties of magnetic fields on sub-Riemannian contact manifolds
Riccardo Bonalli, Dario Prandi
Motivated by some recent studies of the magnetic Laplacian on Riemannian manifolds, we focus on the first eigenvalue of the magnetic horizontal Laplacian on contact manifolds. We c…
Asymptotics of motion planning complexity for control-affine systems
Michele Motta, Dario Prandi
In this paper, we study the complexity of the approximation of nonadmissible curves for nonlinear control-affine systems satisfying the strong H{ö}rmander condition. Focusing on tu…
Schrödinger evolution on surfaces in 3D contact sub-Riemannian manifolds
Riccardo Adami, Ugo Boscain, Dario Prandi +1
Let be a 3-dimensional contact sub-Riemannian manifold and a surface embedded in . Such a surface inherits a field of directions that becomes singular at characteristic…
Cortical origins of MacKay-type visual illusions: A case for the non-linearity
Cyprien Tamekue, Dario Prandi, Yacine Chitour
To study the interaction between retinal stimulation by redundant geometrical patterns and the cortical response in the primary visual cortex (V1), we focus on the MacKay effect (N…
Reproducing sensory induced hallucinations via neural fields
Cyprien Tamekue, Dario Prandi, Yacine Chitour
Understanding sensory-induced cortical patterns in the primary visual cortex V1 is an important challenge both for physiological motivations and for improving our understanding of…