| Université Paris 6 Pierre et Marie Curie | Université Paris 7 Denis Diderot | |
| CNRS U.M.R. 7599 | ||
| ``Probabilités et Modèles Aléatoires'' | ||
Auteur(s):
Code(s) de Classification MSC:
Résumé: Let $(G,E)$ be a graph with weights $\{a_{xy}\}$ for which a parabolic Harnack inequality holds with space-time scaling exponent $\beta\ge 2$. Suppose $\{a'_{xy}\}$ is another set of weights that are comparable to $\{a_{xy}\}$. We prove that this parabolic Harnack inequality also holds for $(G,E)$ with the weights $\{a'_{xy}\}$. We also give necessary and sufficient conditions for this parabolic Harnack inequality to hold.
Mots Clés: Harnack inequality ; random walks on graphs ; volume doubling ; Green functions ;
Poincaré inequality ; Sobolev inequality ; anomalous diffusion
Date: 2002-06-05
Prépublication numéro: PMA-736
Pdf file : PMA-736.pdf