Description

The course will focus on the calculations of free energy in the mean-field approximation (exact in the large-N limit for the models considered) for two models: the Hopfield model for neural networks and the Sherrington-Kirkpatrick model (mean-field disordered Ising model). We will stress the meaning of the "matrix" order parameter which characterizes the glass transition and we will insist on the physical meaning and relevance of replica symmetry breaking.

A copy of the same book is available in GSSI library.