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Book Sections Year : 2023

Gibbs Measures for Long-Range Ising Models

Abstract

This review-type paper is based on a talk given at the conference {\'E}tats de la Recherche en M{\'e}canique 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.

Dates and versions

hal-04389596 , version 1 (11-01-2024)

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Cite

Arnaud Le Ny. Gibbs Measures for Long-Range Ising Models. Topics in Statistical Mechanics, 2023, 978-2-85629-970-8. ⟨hal-04389596⟩
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