Heat kernel decay and isoperimetry on a percolation cluster;Décroissance du noyau de la chaleur et isopérimétrie sur un amas de percolation

Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

Volumn 332, Issue 10, 2001, Pages 927-931

  Mathieu, Pierre ^a   Remy, Elisabeth ^b  

^a AIX MARSEILLE UNIVERSITY   (France)

^b LABORATOIRE DES SCIENCES DU CLIMAT ET DE L ENVIRONNEMENT   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0042329850     PISSN: 07644442     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0764-4442(01)01955-3     Document Type: Article

References (7)

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2. Coulhon Th., Analysis on infinite graphs with regular volume growth, in: Proceedings of the 1997 Cortona Conference on Random walks and Discrete Potentiel Theory, Symposia Math., Cambridge (to appear).
3. Kesten H. Percolation Theory for Mathematicians. Progresses in Probability. 1982;Birkhäuser, Boston.
4. Pittet C., Saloff-Coste L., A survey on the relationships between volume growth, isoperimetry, and the behaviour of simple random walk on Cayley graphs, with examples, Preprint.
5. Saloff-Coste L. Lectures on Finite Markov Chains, École d'été de St-Flour. Lect. Notes in Math. 1997;Springer-Verlag.
6. Sinai Ya.G. Theory of Phase Transitions: Rigorous Results. Int. Series in Natural Phil. 108:1982;Pergamon Press.
7. Sznitman A.-S. Brownian Motion, Obstacles and Random Media. Springer Monographs in Mathematics. 1998;Springer-Verlag.