Kinetic interfaces form the basis of a fascinating, interdisciplinary branch of statistical
mechanics. Diverse stochastic growth processes can be unified via an intriguing nonlinear …

This review describes recent progress in the understanding of the emergence of scale
invariance in far-from-equilibrium growth. The first section is devoted to 'solvable'needle …

We discuss the general link between mode-coupling like equations (which serve as the
basis of some recent theories of supercooled liquids) and the dynamical equations …

Universal scaling behavior is an attractive feature in statistical physics because a wide
range of models can be classified purely in terms of their collective behavior due to a …

A systematic analysis of the Burgers–Kardar-Parisi-Zhang equation in d+ 1 dimensions by
dynamic renormalization-group theory is described. The fixed points and exponents are …

We present an analytical method, rooted in the nonperturbative renormalization group, that
allows one to calculate the critical exponents and the correlation and response functions of …

This article reviews the role of reparametrization invariance (the invariance of the properties
of a system with respect to the choice of the co-ordinate system used to describe it) in …

Simulations of restricted solid-on-solid growth models are used to build the width
distributions of d= 2–5 dimensional Kardar-Parisi-Zhang (KPZ) interfaces. We find that the …

The determination of the exact exponents of the KPZ class in any substrate dimension d is
one of the most important open issues in Statistical Physics. Based on the behavior of the …

We study the mode-coupling approximation for the Kardar-Parisi-Zhang equation in the
strong-coupling regime. By constructing an ansatz consistent with the asymptotic forms of …