Towards conformal invariance of 2D lattice models
Mathematical Physics
2008-11-26 v1 Complex Variables
math.MP
Probability
Abstract
Many 2D lattice models of physical phenomena are conjectured to have conformally invariant scaling limits: percolation, Ising model, self-avoiding polymers, ... This has led to numerous exact (but non-rigorous) predictions of their scaling exponents and dimensions. We will discuss how to prove the conformal invariance conjectures, especially in relation to Schramm-Loewner Evolution.
Keywords
Cite
@article{arxiv.0708.0032,
title = {Towards conformal invariance of 2D lattice models},
author = {Stanislav Smirnov},
journal= {arXiv preprint arXiv:0708.0032},
year = {2008}
}
Comments
ICM 2006 paper with a few typos corrected