Decimations for Two-dimensional Ising and Rotator Models I
Mathematical Physics
2022-03-14 v1 math.MP
Probability
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.
Keywords
Cite
@article{arxiv.2105.07950,
title = {Decimations for Two-dimensional Ising and Rotator Models I},
author = {Matteo D'Achille and Aernout C. D. van Enter and Arnaud Le Ny},
journal= {arXiv preprint arXiv:2105.07950},
year = {2022}
}
Comments
39 pages, 1 figure