English

Asymptotics of correlations in the Ising model: a brief survey

Probability 2023-12-21 v5 Statistical Mechanics Mathematical Physics math.MP

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 Zd\mathbb{Z}^d with finite-range ferromagnetic interactions.

Keywords

Cite

@article{arxiv.1905.06207,
  title  = {Asymptotics of correlations in the Ising model: a brief survey},
  author = {Sébastien Ott and Yvan Velenik},
  journal= {arXiv preprint arXiv:1905.06207},
  year   = {2023}
}

Comments

Revised version: final version, as published in Panoramas et Synth\`eses; one typo corrected