Asymptotics of correlations in the Ising model: a brief survey

Sébastien Ott, Yvan Velenik

Published 2019-05-15Version 1

We present a brief survey of rigorous results on the asymptotic behavior of correlations between two local functions as the distance between their support diverges, concentrating on the Ising model on $\mathbb{Z}^d$ with finite-range ferromagnetic interactions.