Recent experimental developments in diverse areas—ranging from cold atomic gases to
light-driven semiconductors to microcavity arrays—move systems into the focus which are …

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 …

Lyapunov exponents lie at the heart of chaos theory, and are widely used in studies of
complex dynamics. Utilising a pragmatic, physical approach, this self-contained book …

The stochastic partial differential equation proposed nearly three decades ago by Kardar,
Parisi and Zhang (KPZ) continues to inspire, intrigue and confound its many admirers. Here …

Abstract Domain walls in magnets, vortex lattices in superconductors, contact lines at
depinning, and many other systems can be modeled as an elastic system subject to …

We study the statistical properties of a single free quantum particle evolving coherently on a
discrete lattice in d spatial dimensions where every lattice site is additionally subject to …

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 …

Propagating fronts are seen in varieties of nonequilibrium pattern forming systems in
Physics, Chemistry and Biology. In the last two decades, many researchers have contributed …

We present a simple approximation of the nonperturbative renormalization group designed
for the Kardar-Parisi-Zhang equation and show that it yields the correct phase diagram …

The statistics of the fluctuations of quantum many-body systems are highly revealing of their
nature. In driven-dissipative systems displaying macroscopic quantum coherence, as …