In the last two decades, network science has blossomed and influenced various fields, such
as statistical physics, computer science, biology and sociology, from the perspective of the …

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 …

When a system jams, it undergoes a transition from a flowing to a rigid state. Despite this
important change in the dynamics, the internal structure of the system remains disordered in …

Hard spheres are ubiquitous in condensed matter: they have been used as models for
liquids, crystals, colloidal systems, granular systems, and powders. Packings of hard …

We consider bootstrap percolation on uncorrelated complex networks. We obtain the phase
diagram for this process with respect to two parameters: f, the fraction of vertices initially …

Based on statistical physics and graph theory, the research paradigm of a complex network,
which has sprung up in the last decade, provides us with new global perspective to discuss …

Using elementary rigorous methods we prove the existence of a clustered phase in the
random K-SAT problem, for K≥ 8. In this phase the solutions are grouped into clusters …

We study in detail the predictions of various theoretical approaches, in particular, mode-
coupling theory (MCT) and kinetically constrained models (KCMs), concerning the time …

We use a standard Monte Carlo algorithm to study the slow dynamics of a binary Lennard-
Jones glass-forming mixture at low temperature. We find that the Monte Carlo approach is by …

In this chapter we summarize recent developments in the study of kinetically constrained
models (KCMs) as models for glass formers. After recalling the definition of the KCMs that …