arXiv:1109.1549 Abstract | arXiv Analytics

arXiv:1109.1549 [math.PR]Abstract References Reviews Resources

Conformal invariance of lattice models

Published 2011-09-07, updated 2012-06-21Version 4

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.

Comments: 70 pages, 19 figures

Categories: math.PR, math-ph, math.CO, math.MP

Keywords: conformal invariance, lattice models, discrete holomorphic functions, lecture notes, planar statistical physics

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