This is a comprehensive discussion of complexity as it arises in
physical, chemical and biological systems, as well as in mathematical
models of nature. The aim of this book is to illustrate the ways in
which complexity manifests itself and to introduce a sequence of
increasingly sharp mathematical methods for the classification of
complex behavior. This book will be of interest to graduate students and
researchers in physics (nonlinear dynamics, fluid dynamics, solid-state,
cellular automata, stochastic processes, statistical mechanics and
thermodynamics), mathematics (dynamical systems, ergodic and probability
theory), information and computer science (coding, information theory
and algorithmic complexity), electrical engineering and theoretical
biology.