Hypoelliptic heat kernels on infinite-dimensional Heisenberg groups
Probability
2017-06-27 v2
Abstract
We study the law of a hypoelliptic Brownian motion on an infinite-dimensional Heisenberg group based on an abstract Wiener space. We show that the endpoint distribution, which can be seen as a heat kernel measure, is absolutely continuous with respect to a certain product of Gaussian and Lebesgue measures, that the heat kernel is quasi-invariant under translation by the Cameron-Martin subgroup, and that the Radon-Nikodym derivative is Malliavin smooth.
Cite
@article{arxiv.1310.8010,
title = {Hypoelliptic heat kernels on infinite-dimensional Heisenberg groups},
author = {Bruce K. Driver and Nathaniel Eldredge and Tai Melcher},
journal= {arXiv preprint arXiv:1310.8010},
year = {2017}
}
Comments
34 pages