What is Percolation? Start with an empty lattice - then occupy sites at random Connected occupied sites form clusters Percolation is about the properties of these clusters -- size, connectivity, etc.

Percolation provides a very simple model of random media that nevertheless retains enough realism to make its predictions rel-evant in applications. It is a test ground for studying more com-plicated …

Percolation theory is the simplest model displaying a phase transition. The analytic solutions to 1d and mean- eld percolation are presented.

A new form of percolation is called explosive percolation (EP), which is a general phenomenon that often results as a consequence of delaying the emergence of large-scale connectivity in a random network …

Percolation is one of the simplest models in probability theory which exhibits what is known as critical phenomena. This usually means that there is a natural pa-rameter in the model at which the behavior …

In this paper, we discuss the basic elements of percolation theory, beginning with the physical motivation for the abstraction and the essentials of the bond model on the LD square lattice.

Abstract: The review is a brief description of the state of problems in percolation theory and their numerous applications, which are analyzed on base of interesting papers published in the last 15-20 …