Zobrazeno 1 - 10
of 186
pro vyhledávání: '"Thalmaier, Anton"'
On Sasakian manifolds with their naturally occurring sub-Riemannian structure, we consider parallel and mirror maps along geodesics of a taming Riemannian metric. We show that these transport maps have well-defined limits outside the sub-Riemannian c
Externí odkaz:
http://arxiv.org/abs/2212.07715
Let $M$ be a complete connected Riemannian manifold with boundary $\partial M$, and let $P_t$ be the Neumann semigroup generated by $\frac{ 1}{ 2} L$ where $L=\Delta+Z$ for a $C^1$-vector field $Z$ on $M$. We establish Bismut type formulae for $LP_t
Externí odkaz:
http://arxiv.org/abs/2210.09607
By methods of stochastic analysis on Riemannian manifolds, we develop two approaches to determine an explicit constant $c(D)$ for an $n$-dimensional compact manifold $D$ with boundary such that $\frac{\lambda}{n}\,\|\phi\|_{\infty} \leq \|{\rm Hess}\
Externí odkaz:
http://arxiv.org/abs/2210.09593
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 established by Stroock (1996) and removes in particular the compact man
Externí odkaz:
http://arxiv.org/abs/2110.05131
Hessian heat kernel estimates and Calder\'{o}n-Zygmund inequalities on complete Riemannian manifolds
We address some fundamental questions concerning geometric analysis on Riemannian manifolds. It has been asked whether the $L^p$-Calder\'{o}n-Zygmund inequalities extend to a reasonable class of non-compact Riemannian manifolds without the assumption
Externí odkaz:
http://arxiv.org/abs/2108.13058
For a complete connected Riemannian manifold $M$ let $V\in C^2(M)$ be such that $\mu(d x)={\rm e}^{-V(x)} \mbox{vol}(d x)$ is a probability measure on $M$. Taking $\mu$ as reference measure, we derive inequalities for probability measures on $M$ link
Externí odkaz:
http://arxiv.org/abs/2108.12755
Autor:
Cheng, Li-Juan, Thalmaier, Anton
Publikováno v:
Analysis & PDE 16 (2023) 1589-1620
Let $M$ be a differentiable manifold endowed with a family of complete Riemannian metrics $g(t)$ evolving under a geometric flow over the time interval $[0,T[$. In this article, we give a probabilistic representation for the derivative of the corresp
Externí odkaz:
http://arxiv.org/abs/2010.04916
We study the radial part of sub-Riemannian Brownian motion in the context of totally geodesic foliations. It\^o's formula is proved for the radial processes associated to Riemannian distances approximating the Riemannian one. We deduce very general s
Externí odkaz:
http://arxiv.org/abs/2002.02556
In this article, exponential contraction in Wasserstein distance for heat semigroups of diffusion processes on Riemannian manifolds is established under curvature conditions where Ricci curvature is not necessarily required to be non-negative. Compar
Externí odkaz:
http://arxiv.org/abs/2001.06187