Intertwining relations for diffusions in manifolds and applications to functional inequalities
Functional Analysis
2021-01-14 v2 Probability
Abstract
We prove intertwining relations by twisted gradients for Markov semi-groups. These relations are applied to Brascamp-Lieb type inequalities and spectral gap results. It generalizes the results of [1] from the Euclidean space to Riemannian manifolds and to non symmetric twisted operators.
Keywords
Cite
@article{arxiv.1912.05376,
title = {Intertwining relations for diffusions in manifolds and applications to functional inequalities},
author = {Baptiste Huguet},
journal= {arXiv preprint arXiv:1912.05376},
year = {2021}
}