  We study the 3D Edwards-Anderson spin glasses, by analyzing spin-spin
correlation functions in thermalized spin configurations at low T on large
lattices. We consider individual disorder samples and analyze connected
clusters of very correlated sites: we analyze how the volume and the surface of
these clusters increases with the lattice size. We qualify the important
excitations of the system by checking how large they are, and we define a
correlation length by measuring their gyration radius. We find that the
clusters have a very dense interface, compatible with being space filling.

Disordered Systems and Neural Networks