arXiv Analytics

Sign in

arXiv:2105.05767 [math-ph]AbstractReferencesReviewsResources

Almost Gibbsian Measures on a Cayley Tree

Matteo D'Achille, Arnaud Le Ny

Published 2021-05-12, updated 2022-01-31Version 3

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.

Comments: 24 pages, 3 figures, revised version
Categories: math-ph, math.MP, math.PR
Subjects: 60K35, 82B20
Related articles: Most relevant | Search more
arXiv:math-ph/0510022 (Published 2005-10-06)
On some remarks on the Ising model with competing interactions on a Cayley tree
arXiv:1306.5905 [math-ph] (Published 2013-06-25)
New Phase transitions of the Ising model on Cayley trees
arXiv:1211.6648 [math-ph] (Published 2012-11-28)
On free energies of the Ising model on the Cayley tree