Logarithmic Sobolev inequalities for infinite dimensional H\"ormander type generators on the Heisenberg group
Functional Analysis
2011-04-19 v6 Mathematical Physics
math.MP
Abstract
The Heisenberg group is one of the simplest sub-Riemannian settings in which we can define non-elliptic H\"ormander type generators. We can then consider coercive inequalities associated to such generators. We prove that a certain class of nontrivial Gibbs measures with quadratic interaction potential on an infinite product of Heisenberg groups satisfy logarithmic Sobolev inequalities.
Keywords
Cite
@article{arxiv.0901.1765,
title = {Logarithmic Sobolev inequalities for infinite dimensional H\"ormander type generators on the Heisenberg group},
author = {James Inglis and Ioannis Papageorgiou},
journal= {arXiv preprint arXiv:0901.1765},
year = {2011}
}
Comments
26 pages, corrected version, reference added