Gibbs Measures for Long-Range Ising Models

Abstract : This review-type paper is based on a talk given at the conference États de la Recherche en Mécanique 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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https://hal.archives-ouvertes.fr/hal-02343596
Contributor : Arnaud Le Ny <>
Submitted on : Monday, November 4, 2019 - 2:55:32 PM
Last modification on : Wednesday, November 6, 2019 - 1:21:54 AM

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  • HAL Id : hal-02343596, version 1
  • ARXIV : 1911.01860

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Arnaud Le Ny. Gibbs Measures for Long-Range Ising Models. 2019. ⟨hal-02343596⟩

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