Geodesic
Conformal invariance of spin correlations in the planar Ising model
Dmitry Chelkak1 ; Clément Hongler2 ; Konstantin Izyurov3
1 St. Petersburg Department of Steklov Mathematical Institute, St. Petersburg, Russia, Chebyshev Laboratory, Department of Mathematics and Mechanics, St. Petersburg State University, St. Petersburg, Russia
2 Columbia University, New York, NY
3 Chebyshev Laboratory, Department of Mathematics and<br/>Mechanics, St. Petersburg State University, St. Petersburg, Russia
Annals of mathematics, Tome 181 (2015) no. 3, pp. 1087-1138.

Voir la notice de l'article provenant de la source Annals of Mathematics website

We rigorously prove the existence and the conformal invariance of scaling limits of the magnetization and multi-point spin correlations in the critical Ising model on arbitrary simply connected planar domains. This solves a number of conjectures coming from the physical and the mathematical literature. The proof relies on convergence results for discrete holomorphic spinor observables and probabilistic techniques.
DOI : 10.4007/annals.2015.181.3.5

Dmitry Chelkak 1 ; Clément Hongler 2 ; Konstantin Izyurov 3

1 St. Petersburg Department of Steklov Mathematical Institute, St. Petersburg, Russia, Chebyshev Laboratory, Department of Mathematics and Mechanics, St. Petersburg State University, St. Petersburg, Russia
2 Columbia University, New York, NY
3 Chebyshev Laboratory, Department of Mathematics and<br/>Mechanics, St. Petersburg State University, St. Petersburg, Russia 
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Dmitry Chelkak; Clément Hongler; Konstantin Izyurov. Conformal invariance of spin correlations in the planar Ising model. Annals of mathematics, Tome 181 (2015) no. 3, pp. 1087-1138. doi : 10.4007/annals.2015.181.3.5. http://geodesic.mathdoc.fr/articles/10.4007/annals.2015.181.3.5/

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