Asymptotics of correlations in the Ising model: a brief survey

Abstract

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.

Revised version: final version, as published in Panoramas et Synthèses; one typo corrected

References in corpus (3)

• Precision Islands in the Ising and $O(N)$ Models
• Random Currents and Continuity of Ising Model's Spontaneous Magnetization
• Asymptotics of even-even correlations in the Ising model

Cited by in corpus (1)

• On the radius of Gaussian free field excursion clusters