We study the problem of determining the Hamiltonian of a fully connected Ising spin glass of N units from a set of measurements, whose sizes needs to be O(N2) bits. The student–teacher scenario, used to study learning in feed-forward neural networks, is here extended to spin systems with...

We examine the phase diagram of the p-interaction spin glass model in a transverse field. We consider a spherical version of the model and compare with results obtained in the Ising case. The analysis of the spherical model, with and without quantization, reveals a phase diagram very similar to...

A spin-glass model, with two Ising coupled systems (real replicas), is investigated in the limit of infinite-range interactions, through the replica method. Besides the Ising representation, the model is also considered as a discrete two-component four-state clock spin glass. The phase diagram...

By modeling research systems as complex systems we generalize similarity measures used in the literature during the last two decades. We propose to use the mathematical tools developed within the spin-glasses literature to evaluate similarity within systems and between systems in a unified...

The ±J Ising spin glass [probabilities p and (1−p) associated with ferromagnetic and antiferromagnetic couplings, respectively] is studied, at zero temperature, on a hierarchical lattice that approaches the square lattice. It is shown that, for a wide range of values of p [between (1−pc)...

Based on a recently developed algorithm for the exploration of ground states in bond-diluted lattice spin glasses, we determine the scaling of defect energies with system size for Ising spin glasses at the bond percolation threshold pc. The results can be related by well-known scaling relations...

We present some calculations for the thermodynamic behavior of mean-field ferromagnetic p-spin interaction models in the presence of quenched random fields. For both Ising and spherical spin variables, we use the law of large numbers, without recourse to the replica trick, to obtain a...

We present results of the non-linear dynamic susceptibility χ(t) in a mean field Potts glass from simulations in a wide range of temperatures above the theoretically predicted dynamical transition, for various system sizes up to 2560 spins. χ(t) has a maximum, with a height that diverges like...

We investigate the critical behavior of a three-dimensional short-range spin-glass model in the presence of an external field ε conjugated to the Edwards–Anderson order parameter. In the mean-field approximation this model is described by the Adam–Gibbs–DiMarzio approach for the glass...

We demonstrate that there is an intimate relationship between the magnetic properties of Derrida’s random energy model (REM) of spin glasses and the problem of joint source–channel coding in Information Theory. In particular, typical patterns of erroneously decoded messages in the coding...