Cours SpécialisésCollection SMF 2003; 315 pp; softcover Number: 11 ISBN10: 2856291430 ISBN13: 9782856291436 List Price: US$79 Member Price: US$63.20 Order Code: COSP/11
 A dynamical system is a continuous selfmap of a compact metric space. Topological dynamics studies the iterations of such a map, or equivalently, the trajectories of points of the state space. The basic concepts of topological dynamics are minimality, transitivity, recurrence, shadowing property, stability, equicontinuity, sensitivity, attractors, and topological entropy. Symbolic dynamics studies dynamical systems whose state spaces are zerodimensional and consist of sequences of symbols. The main classes of symbolic dynamical systems are adding machines, subshifts of finite type, sofic subshifts, Sturmian, substitutive and Toeplitz subshifts, and cellular automata. A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list. Readership Graduate students and research mathematicians interested in differential equations, geometry, and topology. Table of Contents  Dynamical systems
 Topological dynamics
 Symbolic dynamics
 Minimal symbolic systems
 Cellular automata
 Sets, spaces and numbers
 Main theorems
 Bibliography
 Notation
 Index
