Almost Gibbsian Measures on a Cayley Tree
M. D'Achille, A. Le Ny
2022, v.28, Issue 2, 245-274
ABSTRACT
We consider the ferromagnetic n.n.~Ising model on Cayley trees submitted to a modified majority rule transformation with overlapping cells already known to lead to non-Gibbsian measures. We describe the renormalized measures withia 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.
Keywords: renormalized Gibbs measures, dependent percolation, Cayley trees
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