Magnetization and overlap distributions of the ferromagnetic Ising model on the Cayley tree
arXiv:cond-mat/9607215 · doi:10.1051/jp1:1996156
Abstract
We analyze the magnetization and the overlap distributions on the ferromagnetic Cayley tree. Two quantities are investigated: the asymptotic scaling of all the moments of the magnetization and overlap distributions, as well as the computation of the fractal dimension of the magnetization and overlap probability measures.