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Cellular Automata and Cooperative Systems

  • Book
  • © 1993

Overview

Editors:
  1. Nino Boccara

    1. DPHSRM, CEN-Saclay, Gif sur Yvette, France

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  2. Eric Goles

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

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  3. Servet Martinez

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

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  4. Pierre Picco

    1. Centre de Physique Theorique, CNRS Luminy case 907, Marseille Cedex 9, France

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Part of the book series: Nato Science Series C: (ASIC, volume 396)

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Table of contents (45 chapters)

  1. Front Matter

    Pages i-xvii
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  2. Complexity of Infinite Sequences and the Ising Transducer

    • Jean-Paul Allouche
    Pages 1-9

  3. Renormalization Group Analysis of Directed Models

    • Franco Bagnoli, Radmila Bulajich, Roberto Livi, Amos Maritan
    Pages 11-17

  4. Maximal Lyapunov Exponent for 1D Boolean Cellular Automata

    • Franco Bagnoli, Raúl Rechtman, Stefano Ruffo
    Pages 19-28

  5. Automata Network Epidemic Models

    • Nino Boccara, Kyeong Cheong
    Pages 29-44

  6. Structure Evolution of Neural Networks

    • Georg F. Bolz, Michael Lefeld
    Pages 45-54

  7. Lower Bounds on the Memory Capacity of the Dilute Hopfield Model

    • Anton Bovier, Véronique Gayrard
    Pages 55-66

  8. Schrödinger Operators with Substitution Potentials

    • Anton Bovier, Jean-Michel Ghez
    Pages 67-83

  9. An Interplay Between Local and Global Dynamics in Biological Networks: The Case of Genetic Sequences

    • Germinal Cocho, Angélica Gelover Santiago, Gustavo Martínez-Mekler
    Pages 85-100

  10. How to Fire Almost any Arbitrary Pattern on a Cellular Automaton

    • Karel Culik II
    Pages 101-109

  11. Dynamics of Random Neural Nets

    • Paul Cull
    Pages 111-120

  12. A Matrix Method of Solving an Asymmetric Exclusion Model with Open Boundaries

    • Bernard Derrida, Martin R. Evans, Vincent Hakim, Vincent Pasquier
    Pages 121-133

  13. A Formula of Full Semiinvariants

    • Roland L. Dobrushin
    Pages 135-140

  14. Non-Gibbsian States for Renormalization-Group Transformations and Beyond

    • Aernout C. D. van Enter, Roberto Fernández, Alan D. Sokal
    Pages 141-152

  15. Fluctuations in the Asymmetric Simple Exclusion Process

    • Pablo A. Ferrari, Luiz Renato G. Fontes
    Pages 153-157

  16. Analysis of a Network Model

    • Christine Fricker, Philippe Robert, Ellen Saada, Danielle Tibi
    Pages 159-172

  17. Drift and Diffusion in Phase Space. An Application to Celestial Mechanics

    • Giovanni Gallavotti
    Pages 173-189

  18. Real Computation with Cellular Automata

    • Max Garzon, Fernanda Botelho
    Pages 191-202

  19. Lyapunov Functionals Associated to Automata

    • Eric Goles
    Pages 203-210

  20. Sand-Pile Dynamics in a One-Dimensional Bounded Lattice

    • Eric Goles, Marcos A. Kiwi
    Pages 211-225
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Keywords

Editors and Affiliations

  • DPHSRM, CEN-Saclay, Gif sur Yvette, France

    Nino Boccara

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

    Eric Goles, Servet Martinez

  • Centre de Physique Theorique, CNRS Luminy case 907, Marseille Cedex 9, France

    Pierre Picco

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