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 …

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 book explains the fundamental concepts and theoretical techniques used to understand
the properties of quantum systems having large numbers of degrees of freedom. A number …

We propose a nonequilibrium continuum dynamical model for the collective motion of large
groups of biological organisms (eg, flocks of birds, slime molds, etc.) Our model becomes …

These notes are based on the course of lectures I gave at Harvard in the fall of 1964. They
constitute a self-contained account of vector bundles and K-theory assuming only the …

This book explains in detail how to perform perturbation expansions in quantum field theory
to high orders, and how to extract the critical properties of the theory from the resulting …

We present the perturbative renormalization group functions of O (n)-symmetric ϕ 4 theory in
4-2 ϵ dimensions to the sixth loop order in the minimal subtraction scheme. In addition, we …

This volume provides a general field-theoretical picture of critical phenomena and stochastic
dynamics and helps readers develop a practical skill for calculations. This education on the …

This book provides an introduction to lattice models of polymers. This is an important topic
both in the theory of critical phenomena and the modelling of polymers. The first two …

Abstract Using extensive Monte Carlo simulations, we study the equilibrium properties of the
simple-cubic, classical Heisenberg ferromagnet. We employ very long runs for L× L× L …