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Volumn 16, Issue 2, 2007, Pages 285-307

The application of non-crossing partitions to improving percolation threshold bounds

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTATIONAL METHODS; MATHEMATICAL INSTRUMENTS; PERCOLATION (COMPUTER STORAGE);

EID: 33847099558     PISSN: 09635483     EISSN: 14692163     Source Type: Journal    
DOI: 10.1017/S0963548306007905     Document Type: Article
Times cited : (9)

References (19)
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  • 3
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  • 6
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  • 7
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    • Critical probability bounds for two-dimensional site percolation models
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    • Luczak, T.1    Wierman, J.C.2
  • 8
    • 33847166624 scopus 로고    scopus 로고
    • Algorithms for non-crossing partitions. Technical Report 654, Johns Hopkins University, Department of Applied Mathematics and Statistics
    • To appear in
    • May, W. D. and Wierman, J. C. (2006) Algorithms for non-crossing partitions. Technical Report 654, Johns Hopkins University, Department of Applied Mathematics and Statistics. To appear in Congressus Numerantium.
    • (2006) Congressus Numerantium
    • May, W.D.1    Wierman, J.C.2
  • 9
    • 23844519108 scopus 로고    scopus 로고
    • Using symmetry to improve percolation threshold bounds
    • May, W. D. and Wierman, J. C. (2005) Using symmetry to improve percolation threshold bounds. Combin. Probab. Comput. 14 549-566.
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    • May, W.D.1    Wierman, J.C.2
  • 11
    • 34250413470 scopus 로고
    • A generalization of the FKG inequalities
    • Preston, C. J. (1974) A generalization of the FKG inequalities. Comm. Math. Phys. 36 233-241.
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    • Preston, C.J.1
  • 12
    • 0038276091 scopus 로고
    • Phase diagram of anisotropic planar Potts ferromagnets: A new conjecture
    • Tsallis, C. (1982) Phase diagram of anisotropic planar Potts ferromagnets: A new conjecture. J. Phys. C: Solid State Physics 15 L757-L764.
    • (1982) J. Phys. C: Solid State Physics , vol.15
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  • 13
    • 0030303839 scopus 로고    scopus 로고
    • A new lower bound for the critical probability of site percolation on the square lattice
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    • (1996) Random Struct. Alg , vol.8 , pp. 199-212
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  • 14
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    • (1981) Adv. Appl. Probab , vol.13 , pp. 298-313
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  • 15
    • 0000901150 scopus 로고
    • Bond percolation critical probability bounds for the Kagomé lattice by a substitution method
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    • Wierman, J. C. (1989) Bond percolation critical probability bounds for the Kagomé lattice by a substitution method. In Disorder in Physical Systems (G. Grimmett and D. J. A. Welsh, eds), Oxford University Press, pp. 349-360.
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  • 16
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    • Bond percolation critical probability bounds for three Archimedean lattices
    • Wierman, J. C. (2002) Bond percolation critical probability bounds for three Archimedean lattices. Random Struct. Alg. 20 508-518.
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  • 17
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  • 18
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    • Desirable properties of universal formulas for percolation thresholds
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.