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Volumn 32, Issue 1 A, 2004, Pages 100-128

Isoperimetry and heat kernel decay on percolation clusters

Author keywords

Heat kernel decay; Isoperimetry; Percolation; Spectral gap

Indexed keywords


EID: 2142701131     PISSN: 00911798     EISSN: None     Source Type: Journal    
DOI: 10.1214/aop/1078415830     Document Type: Article
Times cited : (93)

References (14)
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  • 2
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    • Carne, T.K.1
  • 4
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    • Analysis on infinite graphs with regular volume growth
    • (M. Picardello and W. Woess, eds.). Cambridge Univ. Press
    • COULHON, T. (1999). Analysis on infinite graphs with regular volume growth. In Random Walks and Discrete Potential Theory (M. Picardello and W. Woess, eds.) 165-187. Cambridge Univ. Press.
    • (1999) Random Walks and Discrete Potential Theory , pp. 165-187
    • Coulhon, T.1
  • 5
    • 0001131105 scopus 로고
    • An invariance principle for reversible Markov processes. Applications to random motions in random environments
    • DE MASI, A., FERRARI, P., GOLDSTEIN, S. and WICK, W. D. (1989). An invariance principle for reversible Markov processes. Applications to random motions in random environments. J. Statist. Phys. 55 787-855.
    • (1989) J. Statist. Phys. , vol.55 , pp. 787-855
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  • 6
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    • Surface order deviations for high density percolation
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    • Deuschel, J.-D.1    Pisztora, A.2
  • 7
    • 21144462102 scopus 로고
    • Random walk on the infinite cluster of the percolation model
    • GRIMMETT, G. R., KESTEN, H. and ZHANG, Y. (1993). Random walk on the infinite cluster of the percolation model. Probab. Theory Related Fields 96 33-44.
    • (1993) Probab. Theory Related Fields , vol.96 , pp. 33-44
    • Grimmett, G.R.1    Kesten, H.2    Zhang, Y.3
  • 11
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    • De´croissance du noyau de la chaleur et isope´rime´trie sur un amas de percolation
    • MATHIEU, P. and REMY, E. (2001). De´croissance du noyau de la chaleur et isope´rime´trie sur un amas de percolation. C. R. Acad. Sci. Paris Se´r. I Math. 332 927-931.
    • (2001) C. R. Acad. Sci. Paris Se´r. I Math. , vol.332 , pp. 927-931
    • Mathieu, P.1    Remy, E.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.