edited by J-M Gambaudo (Université de Bourgogne), P Hubert (Institut de Mathematiques de Luminy), P Tisseur (Institut de Mathematiques de Luminy), & S Vaienti (Centre de Physique Theorique, Marseille)

This book focuses on the interactions between discrete and geometric dynamical systems, and between dynamical systems and theoretical physics and computer science. Accordingly, the contributions revolve around two main topics: (1) interaction between geometric and symbolic systems, with emphasis on tiling problems for quasicrystals, substitutions and their multidimensional generalizations, geodesic and horocycle flow, adic systems; (2) dynamical systems: geometry and chaos, with special interest in smooth ergodic theory, statistical and multifractal properties of chaotic systems, stability and turbulence in extended complex systems.

• Complex Behavior in Extended System: Beyond the Lyapunov Exponent (M Cencini et al.)
• Generic Points via Large Deviation Theory (J T Lewis et al.)
• Geometry, Dynamics and Thermodynamics (H H Rugh)
• Iteration of Maps by Primitive Substitutive Sequences (C Holton & L Q Zamboni)
• Certain Partitions of a Lattice (J-I Tamura)
• Report on the Dynamics of Certain Piecewise Isometries of the Torus (R Adler et al.)
• Branched Coverings and Closed Geodesics in Flat Surfaces, with Applications to Billiards (E Gutkin)
• Interval Translation Mappings (J Schmeling & S Troubetkoy)
• and other papers