44 citations · 138 across the 32 of their papers we have counts for
9 papers · 1 filter
What is the Degree of a Smooth Hypersurface?
Antonio Lerario, Michele Stecconi
Let be a disk in and . We deal with the problem of the algebraic approximation of the set consisting of the set o…
Differential Topology of Gaussian Random Fields
Antonio Lerario, Michele Stecconi
Motivated by numerous questions in random geometry, given a smooth manifold , we approach a systematic study of the differential topology of Gaussian random fields (GRF) $X:M\to…
Volume of small balls and sub-Riemannian curvature in 3D contact manifolds
Davide Barilari, Ivan Beschastnyi, Antonio Lerario
We compute the asymptotic expansion of the volume of small sub-Riemannian balls in a contact 3-dimensional manifold, and we express the first meaningful geometric coefficients in t…
Homotopically Invisible Singular Curves
Andrei A. Agrachev, Francesco Boarotto, Antonio Lerario
Given a smooth manifold and a totally nonholonomic distribution of rank , we study the effect of singular curves on the topology of the space of horizontal pat…
Homotopy properties of horizontal loop spaces and applications to closed sub-riemannian geodesics
Antonio Lerario, Andrea Mondino
Given a manifold and a proper sub-bundle , we study homotopy properties of the horizontal base-point free loop space , i.e. the space of absolutely continuous m…
Homotopy properties of endpoint maps and a theorem of Serre in subriemannian geometry
Francesco Boarotto, Antonio Lerario
We discuss homotopy properties of endpoint maps for affine control systems. We prove that these maps are Hurewicz fibrations with respect to some topology on the space of…