An introductory review of the central ideas in the modern theory of dynamic critical
phenomena is followed by a more detailed account of recent developments in the field. The …

The modern formulation of the renormalization group is explained for both critical
phenomena in classical statistical mechanics and quantum field theory. The expansion in …

The subject of this paper is the evolution of Brownian particles in disordered environments.
The “Ariadne's clew” we follow is understanding of the general statistical mechanisms which …

Statistical Mechanics discusses the fundamental concepts involved in understanding the
physical properties of matter in bulk on the basis of the dynamical behavior of its microscopic …

This is the fourth, expanded edition of the comprehensive textbook published in 1990 on the
theory and applications of path integrals. It is the first book to explicitly solve path integrals of …

Over the past two decades percolation theory has been used to explain and model a wide
variety of phenomena that are of industrial and scientific importance. Examples include …

Diffusion-limited aggregation (DLA) is an idealization of the process by which matter
irreversibly combines to form dust, soot, dendrites, and other random objects in the case …

This volume links field theory methods and concepts from particle physics with those in
critical phenomena and statistical mechanics, the development starting from the latter point …

This is an extended version of my Nobel Lecture, delivered on December 8, 2021. I will
recall the genesis of the concept of multiple equilibria in natural sciences. I will then describe …

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 …