When we lower the temperature of a liquid, at some point we meet a first order phase
transition to the crystal. Yet, under certain conditions it is possible to keep the system in its …

Rich out-of-equilibrium collective dynamics of strongly interacting large assemblies emerge
in many areas of science. Some intriguing and not fully understood examples are the glassy …

Abstract We consider the Principal Component Analysis problem for large tensors of
arbitrary order k under a single-spike (or rank-one plus noise) model. On the one hand, we …

In these notes the main theoretical concepts and techniques in the field of mean-field spin
glasses are reviewed in a compact and pedagogical way, for the benefit of the graduate and …

We study a reference model in theoretical ecology, the disordered Lotka-Volterra model for
ecological communities, in the presence of finite demographic noise. Our theoretical …

We give an asymptotic evaluation of the complexity of spherical p‐spin spin glass models
via random matrix theory. This study enables us to obtain detailed information about the …

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 …

We study rough high-dimensional landscapes in which an increasingly stronger preference
for a given configuration emerges. Such energy landscapes arise in glass physics and …

We consider the problem of estimating a large rank‐one tensor u⊗ k∈(ℝn)⊗ k, k≥ 3, in
Gaussian noise. Earlier work characterized a critical signal‐to‐noise ratio λ Bayes= O (1) …

We propose a first principles computation of the thermodynamics of simple fragile glasses
starting from the two-body interatomic potential. A replica formulation translates this problem …