Quantum circuits—built from local unitary gates and local measurements—are a new
playground for quantum many-body physics and a tractable setting to explore universal …

The renormalization group plays an essential role in many areas of physics, both
conceptually and as a practical tool to determine the long-distance low-energy properties of …

This textbook presents a modern account of turbulence, one of the greatest challenges in
physics. The state-of-the-art is put into historical perspective five centuries after the first …

Now in its second edition, this book gives a systematic and self-contained presentation of
basic results on stochastic evolution equations in infinite dimensional, typically Hilbert and …

With the high-temperature superconductors a qualitatively new regime in the
phenomenology of type-II superconductivity can be accessed. The key elements governing …

The use of fractal concepts in understanding various growth phenomena, such as molecular
beam epitaxy (MBE) or fluid flow in porous media, is increasingly important these days. This …

In this topical review we consider stochastic processes under resetting, which have attracted
a lot of attention in recent years. We begin with the simple example of a diffusive particle …

Roughly at the time (1987) when the manuscript for the first three chapters of the present
book was completed, several breakthroughs occurred. They had a profound influence on the …

Random quantum circuits yield minimally structured models for chaotic quantum dynamics,
which are able to capture, for example, universal properties of entanglement growth. We …

The Kardar-Parisi-Zhang (KPZ) universality class describes the coarse-grained behavior of
a wealth of classical stochastic models. Surprisingly, KPZ universality was recently …