Decimations for Two-dimensional Ising and Rotator Models - Université Paris-Est-Créteil-Val-de-Marne
Article Dans Une Revue Journal of Mathematical Physics Année : 2022

Decimations for Two-dimensional Ising and Rotator Models

Résumé

We extend proofs of non-Gibbsianness of decimated Gibbs measures at low temperatures to include long-range, as well as vector-spin interactions. Our main tools consist in a two-dimensional use of "Equivalence of boundary conditions" in the long-range case and an extension of Global specifications for two-dimensional vector spins.
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Dates et versions

hal-03229089 , version 1 (18-05-2021)

Identifiants

Citer

Matteo d'Achille, Aernout C D van Enter, Arnaud Le Ny. Decimations for Two-dimensional Ising and Rotator Models. Journal of Mathematical Physics, 2022, 63 (3), ⟨10.1063/5.0057174⟩. ⟨hal-03229089⟩
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