We review results concerning the critical behavior of spin systems at equilibrium. We
consider the Ising and the general O (N)-symmetric universality classes, including the N→ 0 …

This article reviews our present knowledge of universality classes in nonequilibrium systems
defined on regular lattices. The first section presents the most important critical exponents …

We study quantum information scrambling in a random unitary circuit that exchanges qubits
with an environment at a rate p. As a result, initially localized quantum information not only …

This is a comprehensive report on the phase transition between two turbulent states of
electroconvection in nematic liquid crystals, which was recently found by the authors to be in …

In previous work with Scullard, we have defined a graph polynomial PB (q, T) that gives
access to the critical temperature T c of the q-state Potts model defined on a general two …

These lecture notes provide a rapid introduction to a number of rigorous results on self-
avoiding walks, with emphasis on the critical behaviour. Following an introductory overview …

We study the nonequilibrium phase transition in the one-dimensional contact process with
quenched spatial disorder by means of large-scale Monte Carlo simulations for times up to …

We generalize nonperturbative renormalization group methods to nonequilibrium critical
phenomena. Within this formalism, reaction-diffusion processes are described by a scale …

We describe a new algorithm for the enumeration of self-avoiding walks on the square
lattice. Using up to 128 processors on a HP Alpha server cluster we have enumerated the …

We have developed an improved algorithm that allows us to enumerate the number of site
animals (polyominoes) on the square lattice up to size 46. Analysis of the resulting series …