The positive muon is a unique microscopic probe. When it is implanted in condensed matter,
the evolution of its spin polarisation may be readily monitored to give information on the …

The Hopfield model of a neural network is studied near its saturation, ie, when the number p
of stored patterns increases with the size of the network N, as p= αN. The mean-field theory …

The mathematical structure of the dynamical theory for the soft-spin version of the p-spin-
interaction (p> 2) spin-glass model is related to that for the dynamical theories of the …

The large system limit of the Random Energy Model (REM) and generalized Random
Energy Model (GREM) of Derrida is investigated, and found to be universal. This permits …

Neural networks contain, very often, asymmetric bonds. The interactions J ij and J ji between
the ith and the jth neurons are not identical. In this paper we study the Langevin dynamics of …

The correspondence between Eigen's model of macromolecular evolution and the
equilibrium statistical mechanics of an inhomogeneous Ising system is developed. The free …

The mean-field theory of dilute spin-glasses is studied in the limit where the average
coordination number is finite. The zero-temperature phase diagram is calculated and the …

The ordered phase of short-range spin glasses is described in terms of the scaling
behaviour associated with a zero-temperature fixed point. The main ingredient of the theory …

From detailed magnetization data taken under various field-cooling conditions, the magnetic
phase diagram of temperature versus composition is determined for disordered Ni-Mn of Mn …

Path integrals are introduced for Glauber dynamics of interacting Ising spins, equivalent to
stochastic equations for local magnetizations. This enables us to perform quenched …