Learning from examples in feedforward neural networks is studied within a statistical-
mechanical framework. Training is assumed to be stochastic, leading to a Gibbs distribution …

The static properties of the spherical p-spin interaction spin glass model are calculated
using the replica method. It is shown that within the Parisi scheme the most general solution …

A new method is presented that allows the determination of dynamical properties of
disordered spin systems avoiding finite-size effects. The method is based on exact …

Computer experiments have been performed to study the single-particle density of states, g
(E), in the Coulomb gap. This gap occurs in disordered insulating systems as an effect of the …

The Q-state Potts model of neural networks, extended to include biased patterns, is studied
for extensive loading α. Within the replica-symmetric approximation, mean-field equations …

The finite volume fluctuations of the free energy in disordered systems can be characterized
by means of the replica method. This is achieved by introducing a canonical ensemble in the …

A Migdal-Kadanoff real-space renormalization-group method is used to study two nearest-
neighbor randomly frustrated XY ferromagnets in three dimensions. The models are an XY …

The oxygen Snoek relaxation in niobium is studied under the assumption of a long‐range
interaction among interstitial atoms dissolved in bcc metals. Two models describing this …

For random systems with quenched disorders distributed randomly in ε R dimensions and
perfectly correlated in the remaining ε C dimensions, the renormalization-group theory has …

The Q-state Potts model of neural networks, extended to include biased patterns, is studied
for extensive loading α. Mean-field equations are written down for general Q and arbitrary …