Mar 6, 2013 · ... manifolds, by Xiang-Dong Li. View PDF. Abstract:In this paper, we prove Hamilton's Harnack inequality and the gradient estimates of the ...
Apr 10, 2013 · In this paper we correct a gap contained in \cite{Li2010} and prove that the main result obtained in \cite{Li2010} on the L^p-norm estimates for ...
Jul 17, 2007 · Under the condition that the Bakry–Emery Ricci curvature is bounded from below, we prove a probabilistic representation formula of the Riesz ...
We introduce Sobolev spaces and capacities on the path space P m 0 (M) over a compact Riemannian manifold M. We prove the smoothness of the Itô map and the ...
We first prove the Lp-convergence (p≥1) and a Fernique-type exponential integrability of divergence functionals for all Cameron–Martin vector fields with ...
Aug 31, 2006 · Riesz transforms for symmetric diffusion operators on complete Riemannian manifolds. Xiang-Dong Li. Chinese Academy of Sciences, Beijing, China.
Jun 25, 2011 · In this paper, we study Perelman's W -entropy formula for the heat equation associated with the Witten Laplacian on complete Riemannian ...
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On the $L^p$-estimates for Beurling-Ahlfors and Riesz transforms on Riemannian manifolds. Li, Xiang-Dong. Abstract. In our previous papers \cite{Li2008, Li2011} ...
The topic of this paper are convexity properties of free energy functionals on the space P2(M) of probability measures over a Riemannian manifold.
We study the optimal transport problem between the Fokker-Planck diffusion processes on compact Riemannian manifolds equipped with Perelman's Ricci.