Abstract
We test the property of ultrametricity for three-dimensional Edwards-Anderson model
in zero magnetic field with numerical simulations up to $20^3$ spins.
We find an excellent agreement with the prediction of the mean field theory.
The results are presented both for the link and for the standard overlap, which are shown to be mutually non fluctuating quantities and, therefore, to be completely equivalent in the description of the low temperature phase of the Edwards-Anderson model.
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