Liouville theorem and coupling on negatively curved Riemannian manifolds.
type: Item
instance of: scholarly article
title: Liouville theorem and coupling on negatively curved Riemannian manifolds.
zbMATH Open document ID: 1061.58035
DOI: 10.1016/S0304-4149(02)00121-7
author: Feng-Yu Wang
published in: Stochastic Processes and their Applications
publication date: 2005-02-25T00:00:00Z
Mathematics Subject Classification ID: 58J65
Mathematics Subject Classification ID: 58B05
zbMATH DE Number: 2138917
zbMATH Keywords: Liouville theorem
zbMATH Keywords: harmonic function
zbMATH Keywords: diffusion process
zbMATH Keywords: semigroup
zbMATH Keywords: coupling
Wikidata QID: Q115339263
MaRDI profile type: Publication
cites work: Complete lifts of connections and stochastic Jacobi fields
cites work: Q3903745
cites work: Coupling and harmonic functions in the case of continuous time Markov processes
cites work: A condition for the equivalence of coupling and shift coupling.
cites work: Formulae for the derivatives of heat semigroups
cites work: Function theory on manifolds which possess a pole
cites work: THE HEAT EQUATION ON NONCOMPACT RIEMANNIAN MANIFOLDS
cites work: Limiting angle of Brownian motion in certain two-dimensional Cartan-Hadamard manifolds
cites work: The limiting angle of certain riemannian brownian motions
cites work: Nonnegative ricci curvature and the brownian coupling property
cites work: The radial part of Brownian motion on a manifold: A semimartingale property
cites work: Q4232747
cites work: Limiting angle of Brownian motion on certain manifolds
cites work: On the parabolic kernel of the Schrödinger operator
cites work: A simple coupling of renewal processes
cites work: Brownian motion and harmonic functions on rotationally symmetric manifolds
cites work: Q3993586
cites work: A probabilistic proof of S.-Y. Cheng's Liouville theorem
cites work: On the differentiation of heat semigroups and poisson integrals
cites work: Gradient estimates for harmonic functions on regular domains in Riemannian manifolds
cites work: Harmonic functions on complete riemannian manifolds
full work available at URL: s0304-4149(02)00121-7
OpenAlex ID: W2055425845
Recommended article: A theorem of Liouville type on a Riemannian manifold
Recommended article: Liouville-type theorems on manifolds with nonnegative curvature and strictly convex boundary
Recommended article: Q3697846
Recommended article: A Liouville theorem on a manifold
Recommended article: ON RIEMANNIAN MANIFOLDS OF CONSTANT NEGATIVE CURVATURE
Recommended article: Liouville theorems for nonlinear elliptic equations on Riemannian manifolds
Recommended article: Q4029891
Recommended article: Integral Liouville theorem in a complete Riemannian manifold
Recommended article: Liouville-type theorems and applications to geometry on complete Riemannian manifolds
description: scientific article; zbMATH DE number 2138917