This review reports on the research done during past years on violations of the fluctuation–
dissipation theorem (FDT) in glassy systems. It is focused on the existence of a quasi …

The ability of science and technology to augment human performance depends on an
understanding of systems, not just components. The convergence of technologies is an …

We revisit two classic Thouless–Anderson–Palmer (TAP) studies of the Sherrington–
Kirkpatrick model (Bray AJ and Moore MA 1980 J. Phys. C: Solid State Phys. 13 L469; De …

Publisher Summary This chapter analyzes the error-correcting codes based on very sparse
matrices by mapping them onto spin systems of the statistical physics. The equivalence …

A unified theory of the liquid–glass transition based on the two band model in the harmonic
potential approximation is presented. The structure of phonons is clarified starting with the …

We have studied two specific models of frustrated and disordered coupled Kuramoto
oscillators, all driven with the same natural frequency, in the presence of random external …

The role of reflection symmetry for the character of the appearance of replica-symmetric spin
glass state is investigated. It is shown that if in the pure system the transition to the ordered …

We examine the large-network, low-loading behavior of an attractor neural network, the so-
called bistable gradient network (BGN), and compare it with that of the Hopfield network …

We present work in progress on the dynamical analysis of a multi-agent model that allows
for temporally distributed asymmetric interactions between agents. The model essentially …

We perform a statistical analysis of deterministic energy-decreasing algorithms on mean-
field spin models with a complex energy landscape, such as the Sine model and the …