Signal propagation in complex networks drives epidemics, is responsible for information
going viral, promotes trust and facilitates moral behavior in social groups, enables the …

Percolation is the simplest fundamental model in statistical mechanics that exhibits phase
transitions signaled by the emergence of a giant connected component. Despite its very …

We review the use of kinetically constrained models (KCMs) for the study of dynamics in
glassy systems. The characteristic feature of KCMs is that they have trivial, often non …

The displacement of one fluid by another in a porous medium is influenced by the
competition between advance through the centers of the pore space and flow of a wetting …

Hysteresis loops are often seen in experiments at first-order phase transformations, when
the system goes out of equilibrium. They may have a macroscopic jump (roughly as in the …

Many real-world complex systems are best modeled by multiplex networks of interacting
network layers. The multiplex network study is one of the newest and hottest themes in the …

We consider some deterministic cellular automata on the state space {0, 1} Zd evolving in
discrete time, starting from product measures. Basic features of the dynamics include: 1's do …

Presents an important and unique introduction to random walk theory Random walk is a
stochastic process that has proven to be a useful model in understanding discrete-state …

We review and discuss recent progress in modelling non-linear and non-local transport
processes in heterogeneous media. The non-locality that we consider is caused by long …

We consider the problem of bootstrap percolation on a three-dimensional lattice and we
study its finite size scaling behavior. Bootstrap percolation is an example of cellular …