Nate Eldredge
Cornell University
Title: Hypoelliptic diffusions and heat kernels on Lie groups
Hypoelliptic diffusions are an interesting class of stochastic processes where, in spite of having a degenerate elliptic generator, the process is still able to wander throughout its state space. Many familiar facts about elliptic partial differential operators such as the Laplacian have analogues in the hypoelliptic setting. In this talk, I will discuss some of the basic ideas connected with hypoelliptic diffusions, including some notions of sub-Riemannian geometry, as well as some results regarding heat kernel estimates on a specific class of Lie groups.
©2010, Department of Mathematical Sciences
Last Modified: February 26, 2009