Gibbs Measures for Long-Range Ising Models
Mathematical Physics
2019-11-06 v1 math.MP
Probability
Abstract
This review-type paper is based on a talk given at the conference {\'E}tats de la Recherche en M{\'e}canique statistique, which took place at IHP in Paris (December 10-14, 2018). We revisit old results from the 80's about one dimensional long-range polynomially decaying Ising models (often called Dyson models in dimension one) and describe more recent results about interface fluctuations and interface states in dimensions one and two.
Cite
@article{arxiv.1911.01860,
title = {Gibbs Measures for Long-Range Ising Models},
author = {Arnaud Le Ny},
journal= {arXiv preprint arXiv:1911.01860},
year = {2019}
}