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Volumn 113, Issue 3-4, 2003, Pages 431-454

Crossing Probabilities and Modular Forms

Author keywords

Conformal field theory; Crossing probabilities; Modular forms; Percolation; Stochastic L wner Evolution

Indexed keywords


EID: 0345862275     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1026012600583     Document Type: Article
Times cited : (47)

References (27)
  • 1
    • 0011402903 scopus 로고
    • Operator content of two-dimensional conformally invariant theories
    • J. L. Cardy, Operator content of two-dimensional conformally invariant theories, Nuclear Phys. B 270:186-204 (1986).
    • (1986) Nuclear Phys. B , vol.270 , pp. 186-204
    • Cardy, J.L.1
  • 2
    • 0012566413 scopus 로고    scopus 로고
    • Values of Brownian intersection exponents I: Half-plane exponents
    • G. F. Lawler, O. Schramm, and W. Werner, Values of Brownian intersection exponents I: Half-plane exponents, Acta Math. 187:237-273 (2001).
    • (2001) Acta Math. , vol.187 , pp. 237-273
    • Lawler, G.F.1    Schramm, O.2    Werner, W.3
  • 3
    • 0000898051 scopus 로고
    • Critical percolation in finite geometries
    • [arXiv:hep-th/9111026]
    • J. L. Cardy, Critical percolation in finite geometries, J. Phys. A: Math. Gen. 25:L201-206 (1992). [arXiv:hep-th/9111026].
    • (1992) J. Phys. A: Math. Gen. , vol.25
    • Cardy, J.L.1
  • 4
    • 0001637122 scopus 로고    scopus 로고
    • A crossing probability for critical percolation in two dimensions
    • [arXiv: cond-mat/9603167]
    • G. Watts, A crossing probability for critical percolation in two dimensions, J. Phys. A: Math. Gen. 29:L363 (1996). [arXiv: cond-mat/9603167].
    • (1996) J. Phys. A: Math. Gen. , vol.29
    • Watts, G.1
  • 5
    • 0347335575 scopus 로고
    • Free energy of rectangular domains at criticality
    • P. Kleban and I. Vassileva, Free energy of rectangular domains at criticality, J. Phys. A: Math. Gen. 24:3407 (1991).
    • (1991) J. Phys. A: Math. Gen. , vol.24 , pp. 3407
    • Kleban, P.1    Vassileva, I.2
  • 8
    • 0000502626 scopus 로고
    • On the universality of crossing probabilities in two-dimensional percolation
    • R. Langlands, C. Pichet, P. Pouliot, and Y. Saint-Aubin, On the universality of crossing probabilities in two-dimensional percolation, J. Stat. Phys. 67:553-574 (1992).
    • (1992) J. Stat. Phys. , vol.67 , pp. 553-574
    • Langlands, R.1    Pichet, C.2    Pouliot, P.3    Saint-Aubin, Y.4
  • 9
    • 21844506177 scopus 로고
    • On Cardy's formula for the crossing probability in 2D percolation
    • R. M. Ziff, On Cardy's formula for the crossing probability in 2D percolation, J. Phys. A: Math. Gen. 28:1249-1255 (1995).
    • (1995) J. Phys. A: Math. Gen. , vol.28 , pp. 1249-1255
    • Ziff, R.M.1
  • 10
    • 21844511282 scopus 로고
    • Proof of crossing formula for 2D percolation
    • R. M. Ziff, Proof of crossing formula for 2D percolation, J. Phys. A: Math. Gen. 28:6479-6480 (1995)
    • (1995) J. Phys. A: Math. Gen. , vol.28 , pp. 6479-6480
    • Ziff, R.M.1
  • 11
    • 0347965841 scopus 로고    scopus 로고
    • Critical percolation in the plane
    • S. Smirnov, Critical percolation in the plane, C. R. Acad. Sci. Paris 333:221-288 (2001).
    • (2001) C. R. Acad. Sci. Paris , vol.333 , pp. 221-288
    • Smirnov, S.1
  • 12
    • 0033686998 scopus 로고    scopus 로고
    • Crossing probabilities in critical 2-D percolation and modular forms
    • [arXiv: cond-mat/9911070]
    • P. Kleban, Crossing probabilities in critical 2-D percolation and modular forms, Physica A 281:242-251 (2000). [arXiv: cond-mat/9911070].
    • (2000) Physica A , vol.281 , pp. 242-251
    • Kleban, P.1
  • 13
    • 0000070791 scopus 로고
    • Logarithmic operators in conformal field theory
    • [arXiv:hep-th/9303160]
    • V. Gurarie, Logarithmic operators in conformal field theory, Nuclear Phys. B 410:535-549 (1993). [arXiv:hep-th/9303160].
    • (1993) Nuclear Phys. B , vol.410 , pp. 535-549
    • Gurarie, V.1
  • 17
    • 0041851129 scopus 로고    scopus 로고
    • Conformal algebras of 2D disordered systems
    • [arXiv:cond-mat/9911392]
    • V. Gurarie and A. W. W. Ludwig, Conformal algebras of 2D disordered systems, J. Phys. A 35:L377-L384 (2002). [arXiv:cond-mat/9911392]
    • (2002) J. Phys. A , vol.35
    • Gurarie, V.1    Ludwig, A.W.W.2
  • 22
    • 0042417237 scopus 로고    scopus 로고
    • Conformal field theories of stochastic Loewner evolutions
    • to appear
    • M. Bauer and D. Bernard, Conformal field theories of stochastic Loewner evolutions, Comm. Math. Phys. (to appear).
    • Comm. Math. Phys.
    • Bauer, M.1    Bernard, D.2
  • 23
    • 0347335576 scopus 로고    scopus 로고
    • Conformal fields, restriction properties, degenerate representations and SLE
    • to appear
    • R. Friedrich and W. Werner, Conformal fields, restriction properties, degenerate representations and SLE, Comm. Math. Phys. (to appear).
    • Comm. Math. Phys.
    • Friedrich, R.1    Werner, W.2
  • 24
    • 0001560014 scopus 로고
    • Finite-size dependence of the free energy in two-dimensional critical systems
    • J. L. Cardy and I. Peschel, Finite-size dependence of the free energy in two-dimensional critical systems, Nuclear Phys. B 300:377 (1988).
    • (1988) Nuclear Phys. B , vol.300 , pp. 377
    • Cardy, J.L.1    Peschel, I.2
  • 26
    • 0034341450 scopus 로고    scopus 로고
    • Universality and conformal invariance for the Ising model in domains with boundary
    • [arXiv:hep-th/9904088]
    • R. Langlands, M.-A. Lewis, and Y. Saint-Aubin, Universality and conformal invariance for the Ising model in domains with boundary, J. Stat. Phys. 98:131-244 (2000). [arXiv:hep-th/9904088].
    • (2000) J. Stat. Phys. , vol.98 , pp. 131-244
    • Langlands, R.1    Lewis, M.-A.2    Saint-Aubin, Y.3
  • 27
    • 0035831409 scopus 로고    scopus 로고
    • Crossing probabilities on same-spin clusters in the two-dimensional Ising model
    • [arXiv: hep-th/0005104]
    • E. Lapalme and Y. Saint-Aubin, Crossing probabilities on same-spin clusters in the two-dimensional Ising model, J. Phys. A 34:1825-1835 (2001). [arXiv: hep-th/0005104].
    • (2001) J. Phys. A , vol.34 , pp. 1825-1835
    • Lapalme, E.1    Saint-Aubin, Y.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.