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Volumn 19, Issue 5, 2007, Pages 511-565

Cardy's formula for certain models of the bond-triangular type

Author keywords

Cardy's formula; Conformal invariance; Critical percolation; Universality

Indexed keywords


EID: 34347351039     PISSN: 0129055X     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0129055X0700305X     Document Type: Article
Times cited : (11)

References (17)
  • 1
    • 0007122530 scopus 로고    scopus 로고
    • The geometry of critical percolation and conformal invariance
    • World Sci. Publishing, River Edge, NJ
    • M. Aizenman, The geometry of critical percolation and conformal invariance, in STATPHYS 19 (Xiamen, 1995) (World Sci. Publishing, River Edge, NJ, 1996), pp. 104-120.
    • (1996) STATPHYS 19 (Xiamen, 1995) , pp. 104-120
    • Aizenman, M.1
  • 4
    • 2142651448 scopus 로고    scopus 로고
    • A particular bit of universality: Scaling limits of some dependent percolation models
    • F. Camia, C. M. Newman and V. Sidoravicius, A particular bit of universality: Scaling limits of some dependent percolation models, Comm. Math. Phys. 246 (2004) 311-332.
    • (2004) Comm. Math. Phys , vol.246 , pp. 311-332
    • Camia, F.1    Newman, C.M.2    Sidoravicius, V.3
  • 5
    • 0000898051 scopus 로고
    • Critical percolation in finite geometries
    • J. L. Cardy, Critical percolation in finite geometries, J. Phys. A 25 (1992) L201-L206.
    • (1992) J. Phys. A , vol.25
    • Cardy, J.L.1
  • 6
    • 34347359142 scopus 로고    scopus 로고
    • Random cluster models on the triangular lattice
    • to appear in
    • L. Chayes and H. K. Lei, Random cluster models on the triangular lattice, to appear in J. Statist. Phys.
    • J. Statist. Phys
    • Chayes, L.1    Lei, H.K.2
  • 7
    • 0002446794 scopus 로고
    • A lower bound for the critical probability in a certain percolation process
    • T. E. Harris, A lower bound for the critical probability in a certain percolation process, Proc. Cambridge Philos. Soc. 56 (1960) 13-20.
    • (1960) Proc. Cambridge Philos. Soc , vol.56 , pp. 13-20
    • Harris, T.E.1
  • 9
    • 0001755621 scopus 로고
    • Scaling relations for 2D-percolation
    • H. Kesten, Scaling relations for 2D-percolation, Comm. Math. Phys. 109 (1987) 109-156.
    • (1987) Comm. Math. Phys , vol.109 , pp. 109-156
    • Kesten, H.1
  • 10
    • 0007122531 scopus 로고    scopus 로고
    • Almost all words are seen in critical site percolation on the triangular lattice
    • H. Kesten, V. Sidoravicius and Y. Zhang, Almost all words are seen in critical site percolation on the triangular lattice, Electro. J. Probab. 3(10) (1998) 1-75.
    • (1998) Electro. J. Probab , vol.3 , Issue.10 , pp. 1-75
    • Kesten, H.1    Sidoravicius, V.2    Zhang, Y.3
  • 11
    • 0242384526 scopus 로고    scopus 로고
    • G. Lawler, O. Schramm and W. Werner, One-arm exponent for critical 2D percolation, Electron. J. Probab. 7 (2002) 13 pp. (electronic).
    • G. Lawler, O. Schramm and W. Werner, One-arm exponent for critical 2D percolation, Electron. J. Probab. 7 (2002) 13 pp. (electronic).
  • 13
    • 77957093986 scopus 로고
    • Percolation probabilities on the square lattice
    • Advances in Graph Theory, ed. B. Bollobas, North-Holland, Amsterdam
    • P. D. Seymour and D. J. A. Welsh, Percolation probabilities on the square lattice, in Advances in Graph Theory, ed. B. Bollobas, Annals of Discrete Mathematics, Vol. 3 (North-Holland, Amsterdam, 1978), pp. 227-245.
    • (1978) Annals of Discrete Mathematics , vol.3 , pp. 227-245
    • Seymour, P.D.1    Welsh, D.J.A.2
  • 14
    • 0041869040 scopus 로고    scopus 로고
    • Critical percolation in the plane: Conformal invariance, Cardy's formula, scaling limits
    • S. Smirnov, Critical percolation in the plane: Conformal invariance, Cardy's formula, scaling limits, C. R. Acad. Sci. Paris Sr. I Math. 333 (2001) 239-244; http://www.math.kth.se/stas/papers/index.html.
    • (2001) C. R. Acad. Sci. Paris Sr. I Math , vol.333 , pp. 239-244
    • Smirnov, S.1
  • 15
    • 34347340083 scopus 로고    scopus 로고
    • S. Smirnov, public communication
    • S. Smirnov, public communication.
  • 16
    • 0035527905 scopus 로고    scopus 로고
    • Critical exponents for two-dimensional percolation
    • S. Smirnov and W. Werner, Critical exponents for two-dimensional percolation, Math. Res. Lett. 8 (2001) 729-744.
    • (2001) Math. Res. Lett , vol.8 , pp. 729-744
    • Smirnov, S.1    Werner, W.2
  • 17
    • 0141430358 scopus 로고    scopus 로고
    • Critical exponents, conformal invariance and planar brownian motion, 2000
    • Birkhauser
    • W. Werner, Critical exponents, conformal invariance and planar brownian motion, 2000, Proc. 3rd Europ. Congress of Mathematics, Progress in Mathematics, Vol. 202 (Birkhauser, 2001), pp. 87-103.
    • (2001) Proc. 3rd Europ. Congress of Mathematics, Progress in Mathematics , vol.202 , pp. 87-103
    • Werner, W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.