We analyze the statics for pure p-spin spherical spin glass models with p ≥ 3 p≥ 3, at low
enough temperature. With F_ N, β FN, β denoting the free energy, we compute the …

We show that the limiting ground state energy of the spherical mixed p-spin model can be
identified as the infimum of certain variational problem. This complements the well-known …

Using the synchronization mechanism developed in the previous work on the Potts spin
glass model, we obtain the analogue of the Parisi formula for the free energy in the mixed …

We consider the free energy of the bipartite spherical Sherrington–Kirkpatrick model and
determine the limiting free energy at every temperature. We also prove the convergence of …

We analyze the free energy and the overlaps in the 2-spin spherical Sherrington Kirkpatrick
spin glass model with an external field for the purpose of understanding the transition …

We show that mixing for local, reversible dynamics of mean field spin glasses is
exponentially slow in the low temperature regime. We introduce a notion of free energy …

While the analysis of mean-field spin glass models has seen tremendous progress in the
last twenty years, lattice spin glasses have remained largely intractable. This article presents …

We consider a spherical spin system with pure 2-spin spherical Sherrington–Kirkpatrick
Hamiltonian with ferromagnetic Curie–Weiss interaction. The system shows a two …

We consider the spherical spin glass model defined by a combination of the pure 2-spin
spherical Sherrington–Kirkpatrick Hamiltonian and the ferromagnetic Curie–Weiss …

There are many ways of establishing upper bounds on fluctuations of random variables, but
there is no systematic approach for lower bounds. As a result, lower bounds are unknown in …