On the Support of a hypoelliptic diffusion on the Heisenberg group
Probability
2023-03-30 v2
Abstract
We provide an elementary proof of the support of the law of a hypoelliptic Brownian motion on the Heisenberg group . We consider a control norm associated to left-invariant vector fields on , and describe the support in terms of the space of finite energy horizontal curves.
Keywords
Cite
@article{arxiv.2101.11045,
title = {On the Support of a hypoelliptic diffusion on the Heisenberg group},
author = {Marco Carfagnini},
journal= {arXiv preprint arXiv:2101.11045},
year = {2023}
}
Comments
Major revision including new introduction and title. arXiv admin note: text overlap with arXiv:1908.09182