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arXiv · 1202.2838

Conformal Invariance of Spin Correlations in the Planar Ising Model

Dmitry Chelkak·Clément Hongler·Konstantin Izyurov
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Abstract

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.

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Dmitry Chelkak, Clément Hongler, Konstantin Izyurov. 2012-02-13. Conformal Invariance of Spin Correlations in the Planar Ising Model. https://arxiv.org/abs/1202.2838

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