Theory of correlations in stochastic neural networks

I Ginzburg, H Sompolinsky - Physical review E, 1994 - APS
One of the main experimental tools in probing the interactions between neurons has been
the measurement of the correlations in their activity. In general, however, the interpretation of …

Mean-field equations, bifurcation map and route to chaos in discrete time neural networks

B Cessac, B Doyon, M Quoy, M Samuelides - Physica d: nonlinear …, 1994 - Elsevier
We investigate the dynamical behaviour of neural networks with asymmetric synaptic
weights, in the presence of random thresholds. We inspect low gain dynamics before using …

Statistical thermodynamics of protein folding: sequence dependence

MH Hao, HA Scheraga - The Journal of Physical Chemistry, 1994 - ACS Publications
The statistical mechanics of polypeptide folding are studied by Monte Carlo simulations on a
lattice protein model. Effective sampling of the protein conformations over the folding …

Repulsive potentials, clumps and the metastable glass phase

W Klein, H Gould, RA Ramos, I Clejan… - Physica A: Statistical …, 1994 - Elsevier
We present the results of simulations and theoretical investigations of a system of particles
with a weak, long-range repulsive interaction. At fixed density the fluid phase, which is stable …

Mean-field Monte Carlo approach to the Sherrington-Kirkpatrick model with asymmetric couplings

H Eissfeller, M Opper - Physical Review E, 1994 - APS
An alternative method is applied to the nonequilibrium zero temperature dynamics of a
Sherrington-Kirkpatrick model with nonsymmetric random exchange couplings J ij≠ J j i …

Replica symmetry breaking in attractor neural network models

H Steffan, R Kühn - Zeitschrift für Physik B Condensed Matter, 1994 - Springer
The phenomenon of replica symmetry breaking is investigated for the retrieval phases of
Hopfield-type network models. The basic calculation is done for the generalized version of …

Order-parameter flow in the fully connected Hopfield model near saturation

ACC Coolen, D Sherrington - Physical Review E, 1994 - APS
We present an exact dynamical theory, valid on finite time scales, to describe the fully
connected Hopfield model near saturation in terms of deterministic flow equations for order …

Order-parameter flow in the SK spin glass. I. Replica symmetry

ACC Coolen, D Sherrington - Journal of Physics A: Mathematical …, 1994 - iopscience.iop.org
We present a theory to describe the dynamics of the Sherrington-Kirkpatrick spin-glass with
(sequential) Glauber dynamics in terms of deterministic flow equations for macroscopic …

Non-self-averaging effects in sums of random variables, spin glasses, random maps and random walks

B Derrida - On Three Levels: Micro-, Meso-, and Macro …, 1994 - Springer
This is a short review of systems which exhibit non-self-averaging effects: sums of random
variables when the distribution has a long tail, mean field spin glasses, random map models …

Slow interaction dynamics in spin-glass models

R Penney, D Sherrington - Journal of Physics A: Mathematical …, 1994 - iopscience.iop.org
The spin model of Coolen et al.(1993), involving slow dynamical laws for the couplings
linking fast spins, is considered as a spin-glass model having explicit quenched disorder …