English

Gradient Bounds for Kolmogorov Type Diffusions

Probability 2019-03-20 v2 Analysis of PDEs Differential Geometry

Abstract

We study gradient bounds and other functional inequalities for the diffusion semigroup generated by Kolmogorov type operators. The focus is on two different methods: coupling techniques and generalized Γ\Gamma-calculus techniques. The advantages and drawbacks of each of these methods are discussed.

Keywords

Cite

@article{arxiv.1803.01436,
  title  = {Gradient Bounds for Kolmogorov Type Diffusions},
  author = {Fabrice Baudoin and Maria Gordina and Phanuel Mariano},
  journal= {arXiv preprint arXiv:1803.01436},
  year   = {2019}
}

Comments

30 pages

R2 v1 2026-06-23T00:41:44.979Z