75 citations · 484 across the 32 of their papers we have counts for
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math.OC2016
On the set of points of smoothness for the value function for affine optimal control problems
Davide Barilari, Francesco Boarotto
We study the regularity properties of the value function associated with an affine optimal control problem with quadratic cost plus a potential, for a fixed final time and initial…
math.AP2016
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…
math.DG2016★ 1 cited
Volume geodesic distortion and Ricci curvature for Hamiltonian dynamics
Andrei Agrachev, Davide Barilari, Elisa Paoli
We study the variation of a smooth volume form along extremals of a variational problem with nonholonomic constraints and an action-like Lagrangian. We introduce a new invariant de…