Diffusion processes and heat kernels on metric spaces
type: Item
instance of: scholarly article
title: Diffusion processes and heat kernels on metric spaces
zbMATH Open document ID: 0936.60074
published in: The Annals of Probability
publication date: 1999-11-23T00:00:00Z
Mathematics Subject Classification ID: 60J60
Mathematics Subject Classification ID: 31C25
Mathematics Subject Classification ID: 60G07
Mathematics Subject Classification ID: 49Q20
Mathematics Subject Classification ID: 58J65
zbMATH DE Number: 1353626
zbMATH Keywords: Feller process
zbMATH Keywords: Dirichlet form
zbMATH Keywords: \(\Gamma\)-convergence
zbMATH Keywords: variational limit
zbMATH Keywords: intrinsic metric
zbMATH Keywords: stochastic differential geometry
zbMATH Keywords: Riemannian manifold
zbMATH Keywords: Lipschitz manifold
zbMATH Keywords: Poincaré inequality
zbMATH Keywords: Gaussian estimates
author: Karl-Theodor Sturm
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1214/aop/1022855410
OpenAlex ID: W2155193980
cites work: Q4848742
cites work: A Saint-Venant type principle for Dirichlet forms on discontinuous media
cites work: Dirichlet forms and analysis on Wiener space
cites work: Q4287762
cites work: An introduction to \(\Gamma\)-convergence
cites work: Q3721531
cites work: Dirichlet forms and symmetric Markov processes
cites work: Sur les groupes hyperboliques d'après Mikhael Gromov. (On the hyperbolic groups à la M. Gromov)
cites work: Q4747183
cites work: The Poincaré inequality for vector fields satisfying Hörmander's condition
cites work: Equilibrium maps between metric spaces
cites work: Q4260837
cites work: Generalized Dirichlet forms and harmonic maps
cites work: Sobolev spaces and harmonic maps for metric space targets
cites work: Introduction to the theory of (non-symmetric) Dirichlet forms
cites work: Composite media and asymptotic Dirichlet forms
cites work: A harnack inequality for parabolic differential equations
cites work: Q3274652
cites work: Analysis on local Dirichlet spaces. I. Recurrence, conservativeness and Lp-Liouville properties.
cites work: Analysis on local Dirichlet spaces. II: Upper Gaussian estimates for the fundamental solutions of parabolic equations
cites work: Q4848519
cites work: Analysis on local Dirichlet spaces. III: The parabolic Harnack inequality
cites work: How to construct diffusion processes on metric spaces
DOI: 10.1214/AOP/1022855410
description: scientific article; zbMATH DE number 1353626