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Volumn 29, Issue 15, 1996, Pages 4347-4364

Catalan numbers in a series expansion of the directed percolation probability on a square lattice

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EID: 21344458187     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/29/15/010     Document Type: Article
Times cited : (11)

References (15)
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    • Series expansion of the percolation probability for the directed square lattice
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    • Baxter, R.J.1    Guttmann, A.J.2
  • 3
    • 84975960846 scopus 로고
    • Percolation processes I. Crystals and mazes
    • Broadbent S R and Hammersley J M 1957 Percolation processes I. Crystals and mazes Camb. Phil. 53 629-41
    • (1957) Camb. Phil. , vol.53 , pp. 629-641
    • Broadbent, S.R.1    Hammersley, J.M.2
  • 4
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    • Polyominoes and animals: Some recent results
    • Delest M 1991 Polyominoes and animals: some recent results J. Math. Chem. 8 3-18
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    • Delest, M.1
  • 5
    • 0002508986 scopus 로고
    • Diode-resistor percolation in two and three dimensions: I. Upper bounds on critical probability
    • Dhar D 1982 Diode-resistor percolation in two and three dimensions: I. Upper bounds on critical probability J. Phys. A: Math. Gen. 15 1849-58
    • (1982) J. Phys. A: Math. Gen. , vol.15 , pp. 1849-1858
    • Dhar, D.1
  • 6
    • 0000709386 scopus 로고
    • Equivalence of cellular automata to Ising models and directed percolation
    • Domany E and Kinzel W 1984 Equivalence of cellular automata to Ising models and directed percolation Phys. Rev. Lett. 53 311-14
    • (1984) Phys. Rev. Lett. , vol.53 , pp. 311-314
    • Domany, E.1    Kinzel, W.2
  • 7
    • 0038925416 scopus 로고
    • Directed lattices: Site-to-bond conversion and its uses for the percolation and dilute polymer transitions
    • Duarte J A M S 1990 Directed lattices: site-to-bond conversion and its uses for the percolation and dilute polymer transitions Z. Phys. B 80 299-304
    • (1990) Z. Phys. B , vol.80 , pp. 299-304
    • Duarte, J.A.M.S.1
  • 9
    • 0011706963 scopus 로고
    • Series expansions of the percolation probability for directed square and honeycomb lattices
    • Jensen I and Guttmann A J 1995 Series expansions of the percolation probability for directed square and honeycomb lattices J. Phys. A: Math. Gen. 28 4813-33
    • (1995) J. Phys. A: Math. Gen. , vol.28 , pp. 4813-4833
    • Jensen, I.1    Guttmann, A.J.2
  • 10
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    • Two-neighbour stochastic cellular automata and their planar lattice duals
    • Katori M and Tsukahara H 1995 Two-neighbour stochastic cellular automata and their planar lattice duals J. Phys. A: Math. Gen. 28 3935-57
    • (1995) J. Phys. A: Math. Gen. , vol.28 , pp. 3935-3957
    • Katori, M.1    Tsukahara, H.2
  • 11
    • 0001975070 scopus 로고
    • Phase transitions of cellular automata
    • Kinzel W 1985 Phase transitions of cellular automata Z. Phys. B 58 229-44
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    • Kinzel, W.1
  • 12
    • 21844522564 scopus 로고
    • Survival of discrete time growth models, with applications to oriented percolation
    • Liggett T M 1995 Survival of discrete time growth models, with applications to oriented percolation Ann. Appl. Prob. 5 613-36
    • (1995) Ann. Appl. Prob. , vol.5 , pp. 613-636
    • Liggett, T.M.1
  • 13
    • 21144473709 scopus 로고
    • Series expansion of the directed percolation probability
    • Onody R N and Neves U P C 1992 Series expansion of the directed percolation probability J. Phys. A: Math. Gen. 25 6609-15
    • (1992) J. Phys. A: Math. Gen. , vol.25 , pp. 6609-6615
    • Onody, R.N.1    Neves, U.P.C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.