Gibbs Measures for Long-Range Ising Models
arXiv:1911.01860
Abstract
This review-type paper is based on a talk given at the conference {É}tats de la Recherche en M{é}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.