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Gaussian lower bounds for random walks from elliptic regularity

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Publication:1304917
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DOI10.1016/S0246-0203(99)00109-0zbMath0933.60047OpenAlexW2006080107MaRDI QIDQ1304917

Pascal Auscher, Thierry Coulhon

Publication date: 4 April 2000

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPB_1999__35_5_605_0

zbMATH Keywords

Poincaré inequalitiesinfinite graphsreversible Markov chains


Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Heat equation (35K05)


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Gaussian heat kernel bounds through elliptic Moser iteration, Moser-Nash kernel estimates for degenerate parabolic equations, Gaussian estimates for spatially inhomogeneous random walks on \(\mathbb Z^d\), On the relation between elliptic and parabolic Harnack inequalities, The discrete integral maximum principle and its applications, Interpolation of Sobolev spaces, Littlewood-Paley inequalities and Riesz transforms on graphs, Backward estimates for nonnegative solutions to a class of singular parabolic equations, Divergence form operators on fractal-like domains, Weighted norm inequalities for spectral multipliers on graphs



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