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Journal Articles Journal of Mathematical Physics Year : 2022

Decimations for two-dimensional Ising and rotator models

Abstract

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.

Dates and versions

hal-04389581 , version 1 (11-01-2024)

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Matteo D’achille, Aernout 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-04389581⟩
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