Critical percolation in the plane: Conformal invariance, Cardy's formula, scaling limits;Percolation critique dans le plan : invariance conforme, formule de Cardy, objets limites

Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

Volumn 333, Issue 3, 2001, Pages 239-244

  Smirnov, Stanislav ^a  

^a ROYAL INSTITUTE OF TECHNOLOGY   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0041869040     PISSN: 07644442     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0764-4442(01)01991-7     Document Type: Article

References (11)

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3. Aizenman M., Duplantier B., Aharony A. Connectivity exponents and the external perimeter in 2D independent percolation. Phys. Rev. Lett. 83:1999;1359-1362.
4. Cardy J. Critical percolation in finite geometries. J. Phys. A. 25:1992;L201-L206.
5. Grimmett G. Percolation. second edition :1999;Springer-Verlag.
6. Kakutani Sh. Two-dimensional Brownian motion and harmonic functions. Proc. Imp. Acad. Tokyo. 20:1944;706-714.
7. Langlands R., Pouliot Ph., Saint-Aubin Y. Conformal invariance in two-dimensional percolation. Bull. Amer. Math. Soc. N.S. 30:1994;1-61.
8. Lawler G., Schramm O., Werner W. The dimension of the planar Brownian frontier is 4/3. Math. Res. Lett. 8:2001;13-24.
9. Lawler G., Schramm O., Werner W., Values of Brownian intersection exponents I: Half-plane exponents, Acta Mathematica (to appear).
10. Smirnov S., Critical percolation in the plane, available from http://www.math.kth.se/~stas/papers/.
11. Werner W., Critical exponents, conformal invariance and planar Brownian motion, in: Proccedings of the 3rd Europ. Congress of Mathematics, Birkhäuser (to appear).