Short-time asymptotics of heat kernels for a class of hypoelliptic operators
R. W. Brockett, A.-R. Mansouri · American Journal of Mathematics · 2009
We compute the short-time asymptotics of heat kernels for a family of hypoelliptic operators, and we relate these to the value function of an associated variational problem previously investigated in the control theory literature. These heat kernels generalize to the noncontact case a heat kernel that has been previously obtained for the contact hypoelliptic Laplacian defined on the Heisenberg group.