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Volumn , Issue , 2006, Pages V4-21-V4-28

Percolation Theory

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EID: 85184552764     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1016/B0-12-512666-2/00202-9     Document Type: Chapter
Times cited : (7)

References (20)
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    • The Wulff construction and asymptotics of the finite cluster distribution for two-dimensional Bernoulli percolation
    • K Alexander, JT Chayes and L Chayes (1990) The Wulff construction and asymptotics of the finite cluster distribution for two-dimensional Bernoulli percolation. Communications in Mathematical Physics 131 1-50.
    • (1990) Communications in Mathematical Physics , vol.131 , pp. 1-50
    • Alexander, K.1    Chayes, J.T.2    Chayes, L.3
  • 5
    • 85184558741 scopus 로고    scopus 로고
    • Large deviations for three dimensional supercritical percolation.
    • Cerf R (2000) Large deviations for three dimensional supercritical percolation. Asté risque, SMF vol. 267.
    • (2000) Asté risque, SMF vol. 267.
    • Cerf, R.1
  • 6
    • 30144438419 scopus 로고    scopus 로고
    • Invariant percolation and harmonic Dirichlet functions.
    • (in print)
    • Gaboriau D (2005) Invariant percolation and harmonic Dirichlet functions. Geometric and Functional Analysis (in print).
    • (2005) Geometric and Functional Analysis
    • Gaboriau, D.1
  • 8
    • 0002049581 scopus 로고
    • First-passage percolation, subadditive processes, stochastic networks, and generalized renewal theory
    • New York: Springer, Statist. Lab., Univ. California, Berkeley, CA, pp. 61–110
    • JM Hammersley and DJA Welsh (1965) First-passage percolation, subadditive processes, stochastic networks, and generalized renewal theory. Proc. Internat. Res. Semin New York: Springer 61-110. Statist. Lab., Univ. California, Berkeley, CA, pp. 61–110.
    • (1965) Proc. Internat. Res. Semin , pp. 61-110
    • Hammersley, J.M.1    Welsh, D.J.A.2
  • 9
    • 34249952953 scopus 로고
    • Mean-field critical behaviour for percolation in high dimensions
    • T Hara and G Slade (1990) Mean-field critical behaviour for percolation in high dimensions. Communications in Mathematical Physics 128 333-391.
    • (1990) Communications in Mathematical Physics , vol.128 , pp. 333-391
    • Hara, T.1    Slade, G.2
  • 10
    • 0002697969 scopus 로고
    • The critical probability of bond percolation on the square lattice equals 1/2
    • H Kesten (1980) The critical probability of bond percolation on the square lattice equals 1/2. Communications in Mathematical Physics 74 41-59.
    • (1980) Communications in Mathematical Physics , vol.74 , pp. 41-59
    • Kesten, H.1
  • 12
    • 0001710365 scopus 로고
    • The incipient infinite cluster in two-dimensional percolation
    • H Kesten (1986) The incipient infinite cluster in two-dimensional percolation. Probability Theory and Related Fields 73 369-394.
    • (1986) Probability Theory and Related Fields , vol.73 , pp. 369-394
    • Kesten, H.1
  • 14
    • 0000498664 scopus 로고    scopus 로고
    • Berlin: Springer, Lectures on Probability Theory and Statistics (Saint-Flour, 1997), Lecture Notes in Math
    • Y Peres (1999) Probability on Trees: An Introductory Climb vol. 1717 Berlin: Springer 193-280. Lectures on Probability Theory and Statistics (Saint-Flour, 1997), Lecture Notes in Math
    • (1999) Probability on Trees: An Introductory Climb , vol.1717 , pp. 193-280
    • Peres, Y.1
  • 16
    • 0000960495 scopus 로고
    • The fractal nature of a diffusion front and the relation to percolation
    • B Sapoval, M Rosso and J Gouyet (1985) The fractal nature of a diffusion front and the relation to percolation. Journal de Physique Lettres 46 L146-L156.
    • (1985) Journal de Physique Lettres , vol.46 , pp. L146-L156
    • Sapoval, B.1    Rosso, M.2    Gouyet, J.3
  • 19
    • 0035527905 scopus 로고    scopus 로고
    • Critical exponents for two-dimensional percolation
    • S Smirnov and W Werner (2001) Critical exponents for two-dimensional percolation. Mathematical Research Letters 8 729-744.
    • (2001) Mathematical Research Letters , vol.8 , pp. 729-744
    • Smirnov, S.1    Werner, W.2
  • 20
    • 3543047374 scopus 로고    scopus 로고
    • The incipient infinite cluster for high-dimensional unoriented percolation
    • R van der Hofstad and AA Járai (2004) The incipient infinite cluster for high-dimensional unoriented percolation. Journal of Statistical Physics 114 625-663.
    • (2004) Journal of Statistical Physics , vol.114 , pp. 625-663
    • van der Hofstad, R.1    Járai, A.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.