Many 2D lattice models of physical phenomena are conjectured to have conformally invariant scaling limits: percolation, Ising model, self-avoiding polymers, ...
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Untersuchungen über schlichte konforme Abbildung des Einheitskreises, I
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W. Werner, Random planar curves and Schramm-Löwner Evolutions, Lecture notes from the 2002 Saint-Flour summer school. In Lectures on probability theory and statistics , 107–195, Lecture Notes in Math., 1840, Springer, Berlin, 2004
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S. Rohde, O. Schramm, Basic properties of SLE, Ann. Math. 161
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W. Werner,
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M. Bauer, D. Bernard,
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The Random-Cluster Model
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O. Schramm, Conformally invariant scaling limits, an overview and a collection of problems. In Proceedings of the ICM 2006, Madrid . 2006, to appear
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S. Smirnov, Conformal invariance in random cluster models. I. Holomorphic fermions in the Ising model. Preprint , 2007
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Stanislav Smirnov. Conformal invariance in random cluster models. II. Scaling limit of the interface. Preprint , 2007
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Stanislav Smirnov. Conformal invariance in random cluster models. III. Full scaling limit. In preparation , 2007
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Stanislav Smirnov. Conformal invariance in 2D Ising model. In preparation , 2007
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