Almost Gibbsian Measures on a Cayley Tree
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. AMS 2000 subject classification: Primary60K35 secondary82B20