779 citations · 2k across the 73 of their papers we have counts for
3 papers · 1 filter
Heat kernel asymptotics on sub-Riemannian manifolds with symmetries and applications to the bi-Heisenberg group
Davide Barilari, Ugo Boscain, Robert W. Neel
By adapting a technique of Molchanov, we obtain the heat kernel asymptotics at the sub-Riemannian cut locus, when the cut points are reached by an -dimensional parametric family…
Generic singularities of line fields on 2D manifolds
Ugo Boscain, Ludovic Sacchelli, Mario Sigalotti
Generic singularities of line fields have been studied for lines of principal curvature of embedded surfaces. In this paper we propose an approach to classify generic singularities…
Intrinsic random walks in Riemannian and sub-Riemannian geometry via volume sampling
Andrei Agrachev, Ugo Boscain, Robert Neel +1
We relate some basic constructions of stochastic analysis to differential geometry, via random walk approximations. We consider walks on both Riemannian and sub-Riemannian manifold…