A theoretical perspective is provided on the glass transition in molecular liquids at thermal
equilibrium, on the spatially heterogeneous and aging dynamics of disordered materials …

We provide here a brief perspective on the glass transition field. It is an assessment, written
from the point of view of theory, of where the field is and where it seems to be heading. We …

In the first part of this paper, we derive the general replica equations that describe infinite-
dimensional hard spheres at any level of replica symmetry breaking (RSB) and in particular …

We start with a few concise definitions of the most important concepts discussed in this entry.
Glass transition For molecular liquids, the glass transition denotes a crossover from a …

We develop a microscopic theory to analyze the phase behavior and compute correlation
functions of dense assemblies of soft repulsive particles both at finite temperature, as in …

We consider statistical-mechanics models for spin systems built on hierarchical structures,
which provide a simple example of non-mean-field framework. We show that the coupling …

Dense particle packings acquire rigidity through a nonequilibrium jamming transition
commonly observed in materials from emulsions to sandpiles. We describe athermal …

A fully many-body localized (FMBL) quantum disordered system is characterized by the
emergence of an extensive number of local conserved operators that prevents the relaxation …

We start with a few concise definitions of the most important concepts discussed in this entry.
Glass transition For molecular liquids, the glass transition denotes a crossover from a …

We consider the Dyson hierarchical graph, that is a weighted fully-connected graph, where
the pattern of weights is ruled by the parameter σ∈(1/2, 1]. Exploiting the deterministic …