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Volumn 125, Issue 3, 2003, Pages 408-420

On the mixing time of a simple random walk on the super critical percolation cluster

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EID: 0037933346     PISSN: 01788051     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00440-002-0246-y     Document Type: Article
Times cited : (58)

References (10)
  • 2
    • 0030522185 scopus 로고    scopus 로고
    • On the chemical distance in supercritical Bernoulli percolation
    • Antal, P., Pisztora, A.: On the chemical distance in supercritical Bernoulli percolation, Ann. Probab. 24, 1036-1048 (1996)
    • (1996) Ann. Probab. , vol.24 , pp. 1036-1048
    • Antal, P.1    Pisztora, A.2
  • 3
    • 22444455712 scopus 로고    scopus 로고
    • Cut sets and normed cohomology with applications to percolation
    • Babson, E., Benjamini, I.: Cut sets and normed cohomology with applications to percolation. Proc. Amer. Math. Soc. 127, 589-597 (1999)
    • (1999) Proc. Amer. Math. Soc. , vol.127 , pp. 589-597
    • Babson, E.1    Benjamini, I.2
  • 4
    • 0000748606 scopus 로고
    • Edge-isoperimetric inequalities in the grid
    • Bollobás, B., Leader, Imre.: Edge-isoperimetric inequalities in the grid. Combinatorica 11, 299-314 (1991)
    • (1991) Combinatorica , vol.11 , pp. 299-314
    • Bollobás, B.1    Leader, I.2
  • 5
  • 6
    • 0001131105 scopus 로고
    • An invariance principle for reversible Markov processes. Applications to random motions in random environments
    • De Masi, A., Ferrari, P., Goldstein, S., Wick, W.: An invariance principle for reversible Markov processes. Applications to random motions in random environments. J. Statist. Phys. 55, 787-855 (1989)
    • (1989) J. Statist. Phys. , vol.55 , pp. 787-855
    • De Masi, A.1    Ferrari, P.2    Goldstein, S.3    Wick, W.4
  • 8
    • 0037757168 scopus 로고
    • On the time constant and path length of first-passage percolation
    • Kesten, H.: On the time constant and path length of first-passage percolation. Adv. In Appl. Probab. 12, 848-863 (1980)
    • (1980) Adv. In Appl. Probab. , vol.12 , pp. 848-863
    • Kesten, H.1
  • 10
    • 0034825327 scopus 로고    scopus 로고
    • Edge isoperimetry and rapid mixing on matroids and geometric Markov chains
    • Montenegro, R., Son, J.B.: Edge Isoperimetry and Rapid Mixing on Matroids and Geometric Markov Chains, Proc. 2001 ACM STOC
    • Proc. 2001 ACM STOC
    • Montenegro, R.1    Son, J.B.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.