Open AccessParabolic Harnack inequality and estimates of Markov chains on graphs
Author(s) -
Thierry Delmotte
Publication year - 1999
Publication title -
revista matemática iberoamericana
Language(s) - English
Resource type - Journals
eISSN - 2235-0616
pISSN - 0213-2230
DOI - 10.4171/rmi/254
Subject(s) - harnack's inequality , mathematics , harnack's principle , markov chain , poincaré inequality , characterization (materials science) , inequality , gaussian , poincaré conjecture , graph , pure mathematics , mathematical analysis , discrete mathematics , statistics , materials science , physics , quantum mechanics , nanotechnology
On a graph, we give a characterization of a parabolic Harnack inequality and Gaussian estimates for reversible Markov chains by geometric properties (volume regularity and Poincare inequality).
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