Convergence to equilibrium for hypoelliptic non-symmetric Ornstein-Uhlenbeck-type operators

Research output: Contribution to book/anthology/report/proceedingArticle in proceedingsResearchpeer-review

Abstract

We study a generalized curvature-dimension inequality which is suitable for sub-Riemannian Ornstein-Uhlenbeck-type operators and deduce convergence to equilibrium in the L2 and entropic sense. The main difficulty is that the operators we consider may not be symmetric. In particular, our results apply to Ornstein-Uhlenbeck operators on step-two Carnot groups.

Original languageEnglish
Title of host publicationNew Trends in Sub-Riemannian Geometry - AMS-EMS-SMF Special Session Sub-Riemannian Geometry and Interactions, 2022
EditorsFabrice Baudoin, Luca Rizzi
Number of pages20
PublisherAmerican Mathematical Society
Publication date2025
Pages103-122
ISBN (Print)9781470473013
DOIs
Publication statusPublished - 2025
EventAMS-EMS-SMF Special Session on Sub-Riemannian Geometry and Interactions, 2022 - Grenoble, France
Duration: 18 Jul 202222 Jul 2022

Conference

ConferenceAMS-EMS-SMF Special Session on Sub-Riemannian Geometry and Interactions, 2022
Country/TerritoryFrance
CityGrenoble
Period18/07/202222/07/2022
SeriesContemporary Mathematics
Volume809
ISSN0271-4132

Fingerprint

Dive into the research topics of 'Convergence to equilibrium for hypoelliptic non-symmetric Ornstein-Uhlenbeck-type operators'. Together they form a unique fingerprint.

Cite this