Ultrametric Broken Replica Symmetry RaMOSt

We propose an ultrametric breaking of replica symmetry for diluted spin glasses in the framework of RandomMulti-Overlap Structures (RaMOSt). Such proposal is closer to the Parisi theory for non-diluted spin glasses than the current theory based on the iterative approach. Our approach permits to formulate an ansatz according to which the Broken Replica Symmetry trial function depends on a set of numbers over which one has to take the infimum (as opposed to a nested chain of probabilty distributions). Our scheme suggests that the order parameter is determined by the probability distribution of the multi-overlap in a similar sense as in the non-dilulted case, and not necessarily a functional.