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Paper detail

Decimations for Two-dimensional Ising and Rotator Models I

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.

preprint2021arXivOpen access
Matteo D'AchilleAernout C. D. van EnterArnaud Le Ny
math-phmath.PRmath.MP
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Matteo D'AchilleAernout C. D. van EnterArnaud Le Ny

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