Dynamics of Complex Interacting Systems

1. Front Matter

   Pages i-viii

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2. Models of Spatially Extended Systems

   • Roberto Livi

   Pages 1-33

3. Some Dynamical Properties of One-Dimensional Cellular Automata

   • Alejandro Maass

   Pages 35-80

4. Thermodynamic Formalism of Neural Computing

   • Dimitri Petritis

   Pages 81-146

5. Low Complexity and Geometry

   • Gerard Rauzy

   Pages 147-177

6. Back Matter

   Pages 178-178

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This book contains the courses given at the Fourth School on Statistical Physics and Cooperative Systems held at Santiago, Chile, from 12th to 16th December 1994. This School brings together scientists working on subjects related to recent trends in complex systems. Some of these subjects deal with dynamical systems, ergodic theory, cellular automata, symbolic and arithmetic dynamics, spatial systems, large deviation theory and neural networks. Scientists working in these subjects come from several aeras: pure and applied mathematics, non linear physics, biology, computer science, electrical engineering and artificial intelligence. Each contribution is devoted to one or more of the previous subjects. In most cases they are structured as surveys, presenting at the same time an original point of view about the topic and showing mostly new results. The expository text of Roberto Livi concerns the study of coupled map lattices (CML) as models of spatially extended dynamical systems. CML is one of the most used tools for the investigation of spatially extended systems. The paper emphasizes rigorous results about the dynamical behavior of one dimensional CML; i.e. a uniform real local function defined in the interval [0,1], interacting with its nearest neighbors in a one dimensional lattice.

• artificial intelligence
• automata
• complexity
• network
• statistical physics

• Departamento de Ingeniería Matemática, F.C.F.M., Universidad de Chile, Santiago, Chile

  Eric Goles, Servet Martínez

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