Towards conformal invariance of 2D lattice models

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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.
ICM 2006 paper with a few typos corrected

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Mathematical Physics, Complex Variables, Probability, 82B20, 60K35, 82B43, 30C35, 81T40

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http://salesiana.dossiersoluciones.com/handle/123456789/200614

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0708.0032
 http://arxiv.org/abs/0708.0032
 Proc.Int.Congr.Math.2:1421-1451,2006

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arXiv