Self-avoiding walk, spin systems, and renormalization
Mathematical Physics
2019-03-06 v2 math.MP
Probability
Abstract
The self-avoiding walk, and lattice spin systems such as the model, are models of interest both in mathematics and in physics. Many of their important mathematical problems remain unsolved, particularly those involving critical exponents. We survey some of these problems, and report on recent advances in their mathematical understanding via a rigorous nonperturbative renormalization group method.
Keywords
Cite
@article{arxiv.1808.04476,
title = {Self-avoiding walk, spin systems, and renormalization},
author = {Gordon Slade},
journal= {arXiv preprint arXiv:1808.04476},
year = {2019}
}
Comments
Minor edits. To appear in Proc. R. Soc. London, Series A