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Conformal invariance of lattice models

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Published in David Ellwood, Charles Newman, Vladas Sidoravicius, Wendelin Werner. Probability and Statistical Physics in Two and More Dimensions. Providence: American Mathematical Society. 2012
Collection Clay Mathematics Proceedings; 15
Abstract These lecture notes provide a (almost) self-contained account on conformal invariance of the planar critical Ising and FK-Ising models. They present the theory of discrete holomorphic functions and its applications to planar statistical physics (more precisely to the convergence of fermionic observables). Convergence to SLE is discussed briefly. Many open questions are included.
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arXiv: 1109.1549
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DUMINIL-COPIN, Hugo, SMIRNOV, Stanislav. Conformal invariance of lattice models. In: David Ellwood, Charles Newman, Vladas Sidoravicius, Wendelin Werner (Ed.). Probability and Statistical Physics in Two and More Dimensions. Providence : American Mathematical Society, 2012. (Clay Mathematics Proceedings; 15) https://archive-ouverte.unige.ch/unige:30553

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Deposited on : 2013-10-21

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