Finite size effects in Derrida's model multicriticities and limits of   generalization for the Zamolodchikov' s C-theorem
  Finite size effects in the multicriticity point and boundaries between phases   are calculated. There are anomalous large finite size effects on the boundary of ferromagnetic phase with paramagnetic or spin-glass. Multicriticity point is not giving global minimum for the finite size corrections of free energy. 
Y.B. Saakian