Magnetization and overlap distributions of the ferromagnetic Ising model   on the Cayley tree
  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. 
R. M\'elin (CRTBT, Grenoble and NECI, Princeton)