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Volumn 107, Issue 2, 1997, Pages 137-160

A central limit theorem for "critical" furst-passage percolation in two dimensions

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EID: 0031074947     PISSN: 01788051     EISSN: None     Source Type: Journal    
DOI: 10.1007/s004400050080     Document Type: Article
Times cited : (41)

References (15)
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    • Chayes, J.T.1    Chayes, L.2    Durrett, R.3
  • 5
    • 0002446794 scopus 로고
    • A lower bound for the critical probability in a certain percolation process
    • Harris, T.E.: A lower bound for the critical probability in a certain percolation process. Proc. Camb. Phil. Soc. 56, 13-20 (1960)
    • (1960) Proc. Camb. Phil. Soc. , vol.56 , pp. 13-20
    • Harris, T.E.1
  • 6
    • 0002697969 scopus 로고
    • The critical probability of bond percolation on the square lattice equals 1/2
    • Kesten, H.: The critical probability of bond percolation on the square lattice equals 1/2. Comm. Math. Phys. 74, 41-59 (1980)
    • (1980) Comm. Math. Phys. , vol.74 , pp. 41-59
    • Kesten, H.1
  • 8
    • 0000264803 scopus 로고
    • Aspects of first passage percolation
    • Berlin: Springer
    • Kesten, H.: Aspects of first passage percolation. In Lecture Notes in Math., Vol 1180, pp. 125-264 Berlin: Springer 1986
    • (1986) Lecture Notes in Math. , vol.1180 , pp. 125-264
    • Kesten, H.1
  • 9
    • 0001464244 scopus 로고
    • Percolation theory and first-passage percolation
    • Kesten, H.: Percolation theory and first-passage percolation. Ann. Probab. 15, 1231-1271 (1987)
    • (1987) Ann. Probab. , vol.15 , pp. 1231-1271
    • Kesten, H.1
  • 10
    • 0000964674 scopus 로고
    • Dependent central limit theorems and invariance principles
    • McLeish, D.L.: Dependent central limit theorems and invariance principles. Ann. Probab. 2, 620-628 (1974)
    • (1974) Ann. Probab. , vol.2 , pp. 620-628
    • McLeish, D.L.1
  • 12
    • 0037757165 scopus 로고
    • First-passage percolation on the square lattice
    • Berlin: Springer
    • Smythe, R.T., Wierman, J.C.: First-passage percolation on the square lattice. In Lecture Notes in Math., Vol. 671, Berlin: Springer 1978
    • (1978) Lecture Notes in Math. , vol.671
    • Smythe, R.T.1    Wierman, J.C.2
  • 13
    • 0022116584 scopus 로고
    • Inequalities with applications to percolation and reliability
    • van den Berg, J., Kesten, H.: Inequalities with applications to percolation and reliability. J. Appl. Probab. 22, 556-569 (1985)
    • (1985) J. Appl. Probab. , vol.22 , pp. 556-569
    • Van Den Berg, J.1    Kesten, H.2
  • 15
    • 0037757163 scopus 로고
    • 0,n/n in first-passage percolation
    • 0,n/n in first-passage percolation. Ann. Probab. 12, 1068-1076 (1984)
    • (1984) Ann. Probab. , vol.12 , pp. 1068-1076
    • Zhang, Y.1    Zhang, Y.-C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.