-
Short-time asymptotics of heat kernels for a class of hypoelliptic operators
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 131, Number 6, December 2009
- pp. 1795-1814
- 10.1353/ajm.0.0081
- Article
- Additional Information
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.