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Volumn , Issue , 2006, Pages 99-112

Critical percolation and conformal invariance

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EID: 84967642719     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1142/9789812704016_0009     Document Type: Chapter
Times cited : (16)

References (20)
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    • Aizenman, M.1
  • 2
    • 0001056718 scopus 로고    scopus 로고
    • Holder regularity and dimension bounds for random curves
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  • 3
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    • Path crossing exponents and the external perimeter in 2D percolation
    • M. Aizenman, B. Duplantier, A. Aharony, "Path crossing exponents and the external perimeter in 2D percolation", Phys. Rev. Let. 83, 1359-1362 (1999).
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    • Aizenman, M.1    Duplantier, B.2    Aharony, A.3
  • 4
    • 0000898051 scopus 로고
    • Critical percolation in finite geometries
    • J. L. Cardy, "Critical percolation in finite geometries", J. Phys. A 25, L201-L206 (1992).
    • (1992) J. Phys. A , vol.25 , pp. L201-L206
    • Cardy, J.L.1
  • 5
    • 0004246476 scopus 로고    scopus 로고
    • Springer-Verlag, Berlin, second edition
    • G. Grimmett, Percolation, Springer-Verlag, Berlin, second edition, 1999.
    • (1999) Percolation
    • Grimmett, G.1
  • 6
    • 84967400595 scopus 로고    scopus 로고
    • A guide to stochastic Lowner evolution and its applications
    • to appear; arXiv:math-ph/0312056
    • W. Kager, B. Nienhuis, "A guide to stochastic Lowner evolution and its applications", J. of Statistical Physics, to appear; arXiv:math-ph/0312056.
    • J. of Statistical Physics
    • Kager, W.1    Nienhuis, B.2
  • 8
    • 0001755621 scopus 로고
    • Scaling relations for 2D-percolation
    • H. Kesten, "Scaling relations for 2D-percolation", Comm. Math. Phys. 109, 109-156 (1987).
    • (1987) Comm. Math. Phys , vol.109 , pp. 109-156
    • Kesten, H.1
  • 11
    • 0012566413 scopus 로고    scopus 로고
    • Values of Brownian intersection exponents I: Halfplane exponents
    • G. F. Lawler, O. Schramm, W. Werner, "Values of Brownian intersection exponents I: Halfplane exponents", Acta Mathematica 187 237-273 (2001).
    • (2001) Acta Mathematica , vol.187 , pp. 237-273
    • Lawler, G.F.1    Schramm, O.2    Werner, W.3
  • 12
    • 0000467140 scopus 로고    scopus 로고
    • Values of Brownian intersection exponents II: Plane exponents
    • G. F. Lawler, O. Schramm, W. Werner, "Values of Brownian intersection exponents II: Plane exponents", Acta Mathematica 187, 275-308 (2001).
    • (2001) Acta Mathematica , vol.187 , pp. 275-308
    • Lawler, G.F.1    Schramm, O.2    Werner, W.3
  • 13
  • 14
    • 0141542070 scopus 로고    scopus 로고
    • Conformal invariance of planar loop-erased random walks and uniform spanning trees
    • to appear; arXiv:math.PR/0112234
    • G. F. Lawler, O. Schramm, W. Werner, "Conformal invariance of planar loop-erased random walks and uniform spanning trees", Ann. Prob., to appear; arXiv:math.PR/0112234.
    • Ann. Prob
    • Lawler, G.F.1    Schramm, O.2    Werner, W.3
  • 15
    • 0000942409 scopus 로고
    • Untersuchungen über schlichte konforme Abbildung des Einheitskreises, I
    • K. Löwner, "Untersuchungen über schlichte konforme Abbildung des Einheitskreises, I", Math. Ann. 89, 103-121 (1923).
    • (1923) Math. Ann , vol.89 , pp. 103-121
    • Löwner, K.1
  • 16
    • 0242371637 scopus 로고    scopus 로고
    • Basic properties of SLE
    • to appear; arXiv: math. PR/0106036
    • S. Rohde, O. Schramm, "Basic properties of SLE", Ann. Math., to appear; arXiv: math. PR/0106036 (2001).
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    • Rohde, S.1    Schramm, O.2
  • 17
    • 0000614574 scopus 로고    scopus 로고
    • Scaling limits of loop-erased random walks and uniform spanning trees
    • O. Schramm, "Scaling limits of loop-erased random walks and uniform spanning trees", Israel J. Math. 118, 221-288 (2000).
    • (2000) Israel J. Math , vol.118 , pp. 221-288
    • Schramm, O.1
  • 18
    • 0041869040 scopus 로고    scopus 로고
    • Critical percolation in the plane: Conformai invariance, Cardy’s formula, scaling limits
    • S. Smirnov, "Critical percolation in the plane: Conformai invariance, Cardy’s formula, scaling limits", C. R. Acad. Sci. Paris 333, 239-244 (2001).
    • (2001) C. R. Acad. Sci. Paris , vol.333 , pp. 239-244
    • Smirnov, S.1
  • 19
    • 0035527905 scopus 로고    scopus 로고
    • Critical exponents for two-dimensional percolation
    • S. Smirnov, W. Werner, Critical exponents for two-dimensional percolation, Math. Res. Lett. 8, 729-744 (2001).
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    • Smirnov, S.1    Werner, W.2
  • 20
    • 0037835311 scopus 로고    scopus 로고
    • Random planar curves and Schramm-Lôwner Evolutions
    • LNM, Springer, to appear; arXiv:math.PR/0303354
    • W. Werner, "Random planar curves and Schramm-Lôwner Evolutions", in Lecture notes from the 2002 Saint-Flour Summer School, LNM, Springer, to appear; arXiv:math.PR/0303354.
    • Lecture notes from the 2002 Saint-Flour Summer School
    • Werner, W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.