Gaussian bounds and parabolic Harnack inequality on locally irregular graphs
From MaRDI portal
Publication:343190
DOI10.1007/s00208-016-1373-6zbMath1352.60126OpenAlexW2291554698MaRDI QIDQ343190
Martin T. Barlow, Xin Xing Chen
Publication date: 25 November 2016
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00208-016-1373-6
Poincaré inequalityGaussian boundscontinuous-time random walklocally irregular graphsparabolic Harnack inequalityvolume doubling
Sums of independent random variables; random walks (60G50) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Processes in random environments (60K37) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Random walks on graphs (05C81)
Related Items
Gaussian bounds and collisions of variable speed random walks on lattices with power law conductances, Anchored heat kernel upper bounds on graphs with unbounded geometry and anti-trees, Random conductance models with stable-like jumps: quenched invariance principle, Random walks among time increasing conductances: heat kernel estimates, Random conductance models with stable-like jumps: heat kernel estimates and Harnack inequalities
Cites Work
- Unnamed Item
- Unnamed Item
- Harnack inequalities on weighted graphs and some applications to the random conductance model
- Heat kernel estimates for random walks with degenerate weights
- Estimates of the Nash-Aronson type for degenerating parabolic equations
- Gaussian upper bounds for heat kernels of continuous time simple random walks
- Gaussian upper bounds for the heat kernel on arbitrary Riemannian manifolds
- Opérateurs uniformément sous-elliptiques sur les groupes de Lie. (Uniformly sub-elliptic operators on Lie groups)
- Harnack inequalities and local central limit theorem for the polynomial lower tail random conductance model
- Parabolic Harnack inequality and heat kernel estimates for random walks with long range jumps
- A new proof of Moser's parabolic Harnack inequality using the old ideas of Nash
- Dirichlet forms on fractals: Poincaré constant and resistance
- Parabolic Harnack inequality and estimates of Markov chains on graphs
- The sharp Poincaré inequality for free vector fields: An endpoint result
- Markov chain approximations to symmetric diffusions
- Random walks on supercritical percolation clusters
- The Poincaré inequality for vector fields satisfying Hörmander's condition
- Sub-Gaussian estimates of heat kernels on infinite graphs
- On the equivalence of parabolic Harnack inequalities and heat kernel estimates
- Random walks on infinite percolation clusters in models with long-range correlations
- Invariance principle for the random conductance model in a degenerate ergodic environment
- The discrete integral maximum principle and its applications
- THE HEAT EQUATION ON NONCOMPACT RIEMANNIAN MANIFOLDS
- On chemical distances and shape theorems in percolation models with long-range correlations
- Non-local Dirichlet forms and symmetric jump processes
- Percolation
- Large Deviations for Heat Kernels on Graphs
- Convergence Rates in the Law of Large Numbers