2 citations · 6 across the 7 of their papers we have counts for
7 papers
Bismut-Stroock Hessian formulas and local Hessian estimates for heat semigroups and harmonic functions on Riemannian manifolds
Qin-Qian Chen, Li-Juan Cheng, Anton Thalmaier
In this article, we develop a martingale approach to localized Bismut-type Hessian formulas for heat semigroups on Riemannian manifolds. Our approach extends the Hessian formulas e…
Exponential contraction in Wasserstein distance on static and evolving manifolds
Li-Juan Cheng, Anton Thalmaier, Shao-Qin Zhang
In this article, exponential contraction in Wasserstein distance for heat semigroups of diffusion processes on Riemannian manifolds is established under curvature conditions where…
Functional inequalities on path space of sub-Riemannian manifolds and applications
Li-Juan Cheng, Erlend Grong, Anton Thalmaier
For sub-Riemannian manifolds with a chosen complement, we first establish the derivative formula and integration by parts formula on path space with respect to a natural gradient o…
Uniform gradient estimates on manifolds with a boundary and applications
Li-Juan Cheng, Anton Thalmaier, James Thompson
We revisit the problem of obtaining uniform gradient estimates for Dirichlet and Neumann heat semigroups on Riemannian manifolds with boundary. As applications, we obtain isoperime…
Functional inequalities on manifolds with non-convex boundary
Li-Juan Cheng, Anton Thalmaier, James Thompson
In this article, new curvature conditions are introduced to establish functional inequalities including gradient estimates, Harnack inequalities and transportation-cost inequalitie…
Evolution systems of measures and semigroup properties on evolving manifolds
Li-Juan Cheng, Anton Thalmaier
An evolving Riemannian manifold consists of a smooth -dimensional manifold , equipped with a geometric flow of complete Riemannian metrics, parametri…