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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