193 citations · 487 across the 34 of their papers we have counts for
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math.AP2008★ 3 cited
The intrinsic hypoelliptic Laplacian and its heat kernel on unimodular Lie groups
Andrei Agrachev, Ugo Boscain, Jean-Paul Gauthier +1
We present an invariant definition of the hypoelliptic Laplacian on sub-Riemannian structures with constant growth vector, using the Popp's volume form introduced by Montgomery. Th…
math.OC2008★ 1 cited
Projective Reeds-Shepp car on with quadratic cost
Ugo Boscain, Francesco Rossi
Fix two points and two directions (without orientation) of the velocities in these points. In this paper we are interested to the problem of minimizing…