• Corpus ID: 207870485

Gibbs Measures for Long-Range Ising Models

  title={Gibbs Measures for Long-Range Ising Models},
  author={Arnaud Le Ny},
  journal={arXiv: Mathematical Physics},
  • A. L. Ny
  • Published 4 November 2019
  • Physics
  • arXiv: Mathematical Physics
This review-type paper is based on a talk given at the conference Etats de la Recherche en Mecanique statistique, which took place at IHP in Paris (December 10-14, 2018). We revisit old results from the 80's about one dimensional long-range polynomially decaying Ising models (often called Dyson models in dimension one) and describe more recent results about interface fluctuations and interface states in dimensions one and two. 

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