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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(online) ISSN 0273-0979(print)

 

Conformal invariance and $ 2D$ statistical physics


Author: Gregory F. Lawler
Journal: Bull. Amer. Math. Soc. 46 (2009), 35-54
MSC (2000): Primary 82B27; Secondary 30C35, 60J65, 82B27
Published electronically: 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 ($ SLE$).


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Additional Information

Gregory F. Lawler
Affiliation: Department of Mathematics, University of Chicago, 5734 S. University Ave., Chicago, Illinois 60637-1546
Email: lawler@math.uchicago.edu

DOI: http://dx.doi.org/10.1090/S0273-0979-08-01229-9
PII: S 0273-0979(08)01229-9
Received by editor(s): June 20, 2008
Published electronically: September 22, 2008
Additional Notes: This research was supported by National Science Foundation grant DMS-0734151
Article copyright: © Copyright 2008 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.