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Volumn 113, Issue 2, 1999, Pages 287-300

Stability of infinite clusters in supercritical percolation

Author keywords

Continuity of percolation probability; Monotonicity of uniqueness; Percolation; Quasi transitive graphs

Indexed keywords


EID: 0033077109     PISSN: 01788051     EISSN: None     Source Type: Journal    
DOI: 10.1007/s004400050209     Document Type: Article
Times cited : (43)

References (14)
  • 4
    • 0003319816 scopus 로고
    • On the continuity of the percolation probability function, in conference in modern analysis and probability
    • R. Beals et al., editors, American Mathematical Society, Providence, RI
    • van den Berg, J., Keane, M.: On the continuity of the percolation probability function, in Conference in Modern Analysis and Probability, Contemporary Mathematics 26, R. Beals et al., editors, American Mathematical Society, Providence, RI 61-65 (1984)
    • (1984) Contemporary Mathematics , vol.26 , pp. 61-65
    • Van Den Berg, J.1    Keane, M.2
  • 5
    • 0004246476 scopus 로고
    • Springer-Verlag, New York-Berlin
    • Grimmett, G.R.: Percolation, Springer-Verlag, New York-Berlin (1989)
    • (1989) Percolation
    • Grimmett, G.R.1
  • 6
    • 0000042426 scopus 로고
    • Percolation in ∞ + 1 dimensions
    • G.R. Grimmett and D.J.A. Welsh, editors, Claremond Press, Oxford
    • Grimmett, G.R., Newman, C.M.: Percolation in ∞ + 1 dimensions, in Disorder in physical systems, G.R. Grimmett and D.J.A. Welsh, editors, Claremond Press, Oxford 219-240 (1990)
    • (1990) Disorder in Physical Systems , pp. 219-240
    • Grimmett, G.R.1    Newman, C.M.2
  • 7
    • 0038934720 scopus 로고    scopus 로고
    • Monotonicity of uniqueness for percolation on Cayley graphs: All infinite clusters are born simultaneously
    • Häggström, O., Peres, Y.: Monotonicity of uniqueness for percolation on Cayley graphs: all infinite clusters are born simultaneously, Probab. Theory Relat. Fields 113, 273-285 (1999)
    • (1999) Probab. Theory Relat. Fields , vol.113 , pp. 273-285
    • Häggström, O.1    Peres, Y.2
  • 12
    • 0031312118 scopus 로고    scopus 로고
    • The second lowest extremal invariant measure of the contact process
    • Salzano, M., Schonmann, R.H.: The second lowest extremal invariant measure of the contact process, The Annals of Probability 25, 1846-1871 (1997)
    • (1997) The Annals of Probability , vol.25 , pp. 1846-1871
    • Salzano, M.1    Schonmann, R.H.2
  • 14
    • 0032384316 scopus 로고    scopus 로고
    • Lack of monotonicity in ferromagnetic ising model phase diagrams
    • Schonmann, R.H., Tanaka, N.I.: Lack of monotonicity in ferromagnetic Ising model phase diagrams, The Annals of Applied Probability 8, 234-245 (1998)
    • (1998) The Annals of Applied Probability , vol.8 , pp. 234-245
    • Schonmann, R.H.1    Tanaka, N.I.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.