This is a tutorial review on the Potts model aimed at bringing out in an organized fashion the
essential and important properties of the standard Potts model. Emphasis is placed on exact …

For beginners: This review tries to explain percolation through the cluster properties; it can
also be used as an introduction to critical phenomena at other phase transitions for readers …

The theory or percolation models is developed following general ideas in the area of critical
phenomena. The review is an exposition of current phase transition theory in a geometrical …

Percolation theory was initiated some fifty years ago as a mathematical framework for the
study of random physical processes such as flow through a disordered porous medium. It …

This article describes the advances that have been made over the past ten years on the
problem of fracton excitations in fractal structures. The relevant systems to this subject are so …

This book provides an introduction to lattice models of polymers. This is an important topic
both in the theory of critical phenomena and the modelling of polymers. The first two …

A field theory, recently introduced by the authors, whose partition function yields the
generating function for the number of configurations of N p branched polymers containing N …

We obtain the critical parameters for the site-percolation problem on the square lattice to a
high degree of accuracy (comparable to that of series expansions) by using a Monte Carlo …

This book focuses on percolation on high-dimensional lattices. We give a general
introduction to percolation, stating the main results and defining the central objects. We …

Gives details of a calculation of critical exponents for a class of field theory models that have
an interaction cubic in the fields. The results have already been reported, give the exponents …