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Towards conformal invariance of 2D lattice models

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Published in Proceedings of the International Congress of Mathematicians. Madrid (Spain) - 22 - 30 Aug 2006 - . 2006, p. 1421-1451
Abstract Many 2D lattice models of physical phenomena are conjectured to have conformally invariant scaling limits: percolation, Ising model, self-avoiding polymers,... This has led to numerous exact (but non-rigorous) predictions of their scaling exponents and dimensions. We will discuss how to prove the conformal invariance conjectures, especially in relation to Schramm-Loewner Evolution.
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arXiv: 0708.0032
Note ICM 2006 paper with a few typos corrected
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SMIRNOV, Stanislav. Towards conformal invariance of 2D lattice models. In: Proceedings of the International Congress of Mathematicians. Madrid (Spain). [s.l.] : [s.n.], 2006. p. 1421-1451. https://archive-ouverte.unige.ch/unige:12063

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Deposited on : 2010-10-11

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