Logarithmic Sobolev inequalities on infinite-dimensional reduced Heisenberg groups
Probability
2025-12-04 v1 Differential Geometry
Functional Analysis
Abstract
We construct a family of infinite-dimensional reduced Heisenberg groups which can be viewed as infinite-dimensional homogeneous spaces. Such a space is an analogue of finite-dimensional reduced Heisenberg groups in infinite dimensions. We study properties of the hypoelliptic heat kernel measure on this space, including hypoelliptic logarithmic Sobolev inequalities there.
Keywords
Cite
@article{arxiv.2512.03349,
title = {Logarithmic Sobolev inequalities on infinite-dimensional reduced Heisenberg groups},
author = {Maria Gordina and Liangbing Luo},
journal= {arXiv preprint arXiv:2512.03349},
year = {2025}
}