ABSTRACT
Fig. 5.7, both of which are a direct result of ultrametricity. And this new ‘space’, called ultrametric, is a natural consequence of the replica-symmetry breaking required to remove the defects of the SK solution
5.7 PHYSICAL MEANING OF RSB
Returning briefly to experiment, let us try and see how this highly sophisticated mathematical theory makes contact with what we have
Models and theories
Fig. 5.8 Sketch of the cluster structure of ultrametric space. n = 8 {1,2,3,4,5,6,7, S}; m, = 4 {1,2,3,4} and {5,6,7$X}; m2 = 2 {1,2,}, {3,4}, {5,6} and {7,8}; m3 = 1 {l}, {2}, {3}, {4}, {5}, {6}, (7) and (8). Note how closely this subdivision follows the tree representation and the replica symmetry breaking scheme of our 8 x 8 matrix.
