Conformal invariance of lattice models
Probability
2012-06-22 v4 Mathematical Physics
Combinatorics
math.MP
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.
Keywords
Cite
@article{arxiv.1109.1549,
title = {Conformal invariance of lattice models},
author = {Hugo Duminil-Copin and Stanislav Smirnov},
journal= {arXiv preprint arXiv:1109.1549},
year = {2012}
}
Comments
70 pages, 19 figures