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Almost Gibbsian Measures on a Cayley Tree (2105.05767v3)

Published 12 May 2021 in math-ph, math.MP, and math.PR

Abstract: We consider the ferromagnetic n.n Ising model on Cayley trees in absence of external fields submitted to a modified majority rule transformation with overlapping cells already known to lead to non-Gibbsian measures. We describe the renormalized measures within the Generalized Gibbs framework and prove that they are Almost Gibbs at any temperature.

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