Conformal invariance and 2𝐷 statistical physics

Lawler, Gregory

doi:10.1090/S0273-0979-08-01229-9

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ISSN 1088-9485(online) ISSN 0273-0979(print)

Conformal invariance and statistical physics

Author: Gregory F. Lawler
Journal: Bull. Amer. Math. Soc. 46 (2009), 35-54
MSC (2000): Primary 82B27; Secondary 30C35, 60J65, 82B27
Posted: September 22, 2008
MathSciNet review: 2457071
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Abstract: A number of two-dimensional models in statistical physics are conjectured to have scaling limits at criticality that are in some sense conformally invariant. In the last ten years, the rigorous understanding of such limits has increased significantly. I give an introduction to the models and one of the major new mathematical structures, the Schramm-Loewner Evolution ().

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