This review summarizes recent developments in the theory of spin glasses, as well as
pertinent experimental data. The most characteristic properties of spin glass systems are …

This is an extended version of my Nobel Lecture, delivered on December 8, 2021. I will
recall the genesis of the concept of multiple equilibria in natural sciences. I will then describe …

A new Monte Carlo method is presented for simulations of systems with quenched random
interactions. The approach greatly reduces the long correlation times characteristic of …

We describe an efficient Monte Carlo algorithm using a random walk in energy space to
obtain a very accurate estimate of the density of states for classical statistical models. The …

The Hopfield model for a neural network is studied in the limit when the number p of stored
patterns increases with the size N of the network, as p= α N. It is shown that, despite its spin …

In this paper we summarize the work done by our group in develo** and applying the
closed time-path Green function (C1'PGF) formalism, first suggested by J. Schwinger and …

This book gives a pedagogical introduction to the physics of amorphous solids and related
disordered condensed matter systems. Important concepts from statistical mechanics such …

Ultrametricity is a simple topological concept, but its appearance in the language of
physicists is recent. This review provides all the elementary background (from mathematics …

Glasses are amorphous solids whose constituent particles are caged by their neighbours
and thus cannot flow. This sluggishness is often ascribed to the free energy landscape …

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 …