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Volumn 26, Issue 4, 1998, Pages 1788-1812

Critical probabilities for site and bond percolation models

Author keywords

Critical probability; Enhancement; Percolation

Indexed keywords


EID: 0032237818     PISSN: 00911798     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (62)

References (17)
  • 1
    • 0001707493 scopus 로고
    • Strict monotonicity for critical points in percolation and ferromagnetic models
    • AIZENMAN, M. and GRIMMETT, G. R. (1991). Strict monotonicity for critical points in percolation and ferromagnetic models. J. Statist. Phys. 63 817-835.
    • (1991) J. Statist. Phys. , vol.63 , pp. 817-835
    • Aizenman, M.1    Grimmett, G.R.2
  • 4
    • 21344477262 scopus 로고
    • Strict inequality for critical values of Potts models and random-cluster processes
    • BEZUIDENHOUT, C. E., GRIMMETT, G. R. and KESTEN, H. (1993). Strict inequality for critical values of Potts models and random-cluster processes. Comm. Math. Phys. 158 1-16.
    • (1993) Comm. Math. Phys. , vol.158 , pp. 1-16
    • Bezuidenhout, C.E.1    Grimmett, G.R.2    Kesten, H.3
  • 8
    • 21344498625 scopus 로고
    • Potts models and random-cluster processes with many-body interactions
    • GRIMMETT, G. R. (1994). Potts models and random-cluster processes with many-body interactions. J. Statist. Phys. 75 67-121.
    • (1994) J. Statist. Phys. , vol.75 , pp. 67-121
    • Grimmett, G.R.1
  • 10
    • 0000574028 scopus 로고
    • Comparison of atom and bond percolation
    • HAMMERSLEY, J. M. (1961). Comparison of atom and bond percolation. J. Math. Phys. 2 728-733.
    • (1961) J. Math. Phys. , vol.2 , pp. 728-733
    • Hammersley, J.M.1
  • 11
    • 0011341299 scopus 로고
    • Coexistence of the infinite (*) clusters - A remark on the square lattice site percolation
    • HIGUCHI, Y. (1982). Coexistence of the infinite (*) clusters - a remark on the square lattice site percolation. Z. Wahrsch. Verw. Gebiete 61 75-81.
    • (1982) Z. Wahrsch. Verw. Gebiete , vol.61 , pp. 75-81
    • Higuchi, Y.1
  • 12
    • 0032222177 scopus 로고    scopus 로고
    • Existence and uniqueness of infinite components in generic rigidity percolation
    • HOLROYD, A. E. (1998). Existence and uniqueness of infinite components in generic rigidity percolation. Ann. Appl. Probab. 8 944-973.
    • (1998) Ann. Appl. Probab. , vol.8 , pp. 944-973
    • Holroyd, A.E.1
  • 15
    • 0000726324 scopus 로고
    • Quantitative estimates and rigorous inequalities for critical points of a graph and its subgraphs
    • MENSHIKOV, M. V. (1987). Quantitative estimates and rigorous inequalities for critical points of a graph and its subgraphs. Theory Probab. Appl. 32 544-547.
    • (1987) Theory Probab. Appl. , vol.32 , pp. 544-547
    • Menshikov, M.V.1
  • 16
    • 0018520757 scopus 로고
    • On some percolation results of J. M. Hammersley
    • OXLEY, J. G. and WELSH, D. J. A. (1979). On some percolation results of J. M. Hammersley. J. Appl. Probab. 16 526-540.
    • (1979) J. Appl. Probab. , vol.16 , pp. 526-540
    • Oxley, J.G.1    Welsh, D.J.A.2
  • 17
    • 0003155011 scopus 로고
    • A lower bound for the critical probability of the square lattice site percolation
    • TOTH, B. (1985). A lower bound for the critical probability of the square lattice site percolation. Z. Wahrsch. Verw. Gebiete 69 19-22.
    • (1985) Z. Wahrsch. Verw. Gebiete , vol.69 , pp. 19-22
    • Toth, B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.