We study the static properties of the Little model with asymmetric couplings. We show that the thermodynamics of this model coincides with that of the SK model and we compute the main finite size corrections to the difference of the free energy between both models. Our results agree with...

We derive the zero-temperature phase diagram of spin glass models with a generic fraction of ferromagnetic interactions on the Bethe lattice. We use the cavity method at the level of one-step replica symmetry breaking (1RSB) and we find three phases: a replica-symmetric (RS) ferromagnetic one, a...