English

Conformal Measure Ensembles and Planar Ising Magnetization: A Review

Probability 2020-11-24 v2 Mathematical Physics math.MP

Abstract

We provide a review of results on the critical and near-critical scaling limit of the planar Ising magnetization field obtained in the past dozen years. The results are presented in the framework of coupled loop and measure ensembles, and some new proofs are provided.

Keywords

Cite

@article{arxiv.2009.08129,
  title  = {Conformal Measure Ensembles and Planar Ising Magnetization: A Review},
  author = {Federico Camia and Jianping Jiang and Charles M. Newman},
  journal= {arXiv preprint arXiv:2009.08129},
  year   = {2020}
}

Comments

25 pages, 3 figures. V2: two references added, some typos corrected, other minor changes