Harnack inequalities and Gaussian estimates for random walks on metric measure spaces
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Publication:6164929
DOI10.1214/23-ejp954arXiv1506.07539OpenAlexW1597979635MaRDI QIDQ6164929
Mathav Kishore Murugan, Laurent Saloff-Coste
Publication date: 4 July 2023
Published in: Electronic Journal of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1506.07539
Diffusion processes and stochastic analysis on manifolds (58J65) Transition functions, generators and resolvents (60J35) Heat and other parabolic equation methods for PDEs on manifolds (58J35)
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Cites Work
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- Gibbs/Metropolis algorithms on a convex polytope
- Geometric analysis for the Metropolis algorithm on Lipschitz domains
- Gaussian estimates for Markov chains and random walks on groups
- Analyse sur les groupes de Lie à croissance polynômiale. (Analysis on Lie groups of polynomial growth)
- Rough isometries, and combinatorial approximations of geometries of non- compact Riemannian manifolds
- Opérateurs uniformément sous-elliptiques sur les groupes de Lie. (Uniformly sub-elliptic operators on Lie groups)
- Generalized capacity, Harnack inequality and heat kernels of Dirichlet forms on metric measure spaces
- Puissances d'un opérateur régularisant. (Powers of a regularizing operator)
- Small time heat kernel behavior on Riemannian complexes
- Large scale Sobolev inequalities on metric measure spaces and applications
- Rough isometries and the parabolicity of Riemannian manifolds
- On the parabolic kernel of the Schrödinger operator
- Upper bounds for symmetric Markov transition functions
- Brownian motion on the Sierpinski gasket
- A new proof of Moser's parabolic Harnack inequality using the old ideas of Nash
- Harmonic functions on manifolds
- Random walks on graphs with regular volume growth
- Parabolic Harnack inequality and estimates of Markov chains on graphs
- Moderate growth and random walk on finite groups
- Heat kernel upper bounds on a complete non-compact manifold
- Harmonic sections of polynomial growth
- Hitting probabilities for Brownian motion on Riemannian manifolds.
- Lectures on analysis on metric spaces
- Stability of the elliptic Harnack inequality
- Stability results for Harnack inequalities.
- The Poincaré inequality for vector fields satisfying Hörmander's condition
- Sub-Gaussian estimates of heat kernels on infinite graphs
- Harnack inequalities and sub-Gaussian estimates for random walks
- Parabolic Harnack inequality for divergence form second order differential operators
- Isometric Riemannian manifolds at infinity
- Analysis on local Dirichlet spaces. III: The parabolic Harnack inequality
- On the equivalence of parabolic Harnack inequalities and heat kernel estimates
- A stability theorem for elliptic Harnack inequalities
- Semi-classical analysis of a random walk on a manifold
- On reverse hypercontractivity
- The art of random walks.
- The discrete integral maximum principle and its applications
- Stability of parabolic Harnack inequalities on metric measure spaces
- John–Nirenberg lemmas for a doubling measure
- Inégalité de Harnack elliptique sur les graphes
- Interpolation of Linear Operators
- Continuity of Solutions of Parabolic and Elliptic Equations
- On functions of bounded mean oscillation
- Stability of heat kernel estimates for symmetric non-local Dirichlet forms
- A new proof of Gromov’s theorem on groups of polynomial growth
- Markov Chains and Stochastic Stability
- A new proof of de Giorgi's theorem concerning the regularity problem for elliptic differential equations
- On Harnack's theorem for elliptic differential equations
- A note on the isoperimetric constant
- Differential equations on riemannian manifolds and their geometric applications
- Heat Kernels of Graphs
- Stability of parabolic Harnack inequalities
- Sobolev met Poincaré
- Sobolev inequalities in disguise
- Analysis and Geometry of Markov Diffusion Operators
- Correetion to “A Harnack Inequality for Parabolic Differential Equations”
- Characterization of sub‐Gaussian heat kernel estimates on strongly recurrent graphs
- Partial Differential Equations
- On the relation between elliptic and parabolic Harnack inequalities