Abstract

Asymptotics of correlations in the Ising model: a brief survey S. Ott and Y. Velenik Panoramas et Synthèses 59, 157-184 (2023). 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. Key words: Ising model, Ornstein-Zernike asymptotics, decay of correlations, power-law corrections, mixing, analyticity, Ursell functions Files: PDF file, Published version, bibtex