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Dynamics and Randomness

  • Book
  • © 2002

Overview

Editors:
  1. Alejandro Maass

    1. Department of Mathematical Engineering, Faculty of Physical and Mathematical Sciences, University of Chile, Santiago, Chile

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  2. Servet Martínez

    1. Department of Mathematical Engineering, Faculty of Physical and Mathematical Sciences, University of Chile, Santiago, Chile

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  3. Jaime San Martín

    1. Department of Mathematical Engineering, Faculty of Physical and Mathematical Sciences, University of Chile, Santiago, Chile

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Part of the book series: Nonlinear Phenomena and Complex Systems (NOPH, volume 7)

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Table of contents (8 chapters)

  1. Front Matter

    Pages i-vii
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  2. Dimension-Like Characteristics of Invariant Sets in Dynamical Systems

    • Valentin Afraimovich, Jesus Urias
    Pages 1-30

  3. Positive K-Theory and Symbolic Dynamics

    • Mike Boyle
    Pages 31-52

  4. Combinatorial and Dynamical Study of Substitutions Around the Theorem of Cobham

    • Fabien Durand
    Pages 53-94

  5. Irreducibility, Homoclinic Points and Adjoint Actions of Algebraic ℤd-Actions of Rank One

    • Manfred Einsiedler, Klaus Schmidt
    Pages 95-124

  6. Old and New Tools in the Theory of Filtrations

    • Émery Michel
    Pages 125-146

  7. Information Compression and Retention in Dynamical Processes

    • Karl Petersen
    Pages 147-217

  8. Unique Equilibrium States

    • Robert R. Phelps
    Pages 219-225

  9. Poincare Inequalities and Spectral Gap, Concentration Phenomenon for G-Measures

    • Bernard Schmitt
    Pages 227-273

  10. Back Matter

    Pages 275-275
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Keywords

About this book

This book contains the lectures given at the Conference on Dynamics and Randomness held at the Centro de Modelamiento Matematico of the Universidad de Chile from December 11th to 15th, 2000. This meeting brought together mathematicians, theoretical physicists and theoretical computer scientists, and graduate students interested in fields re­ lated to probability theory, ergodic theory, symbolic and topological dynam­ ics. We would like to express our gratitude to all the participants of the con­ ference and to the people who contributed to its organization. In particular, to Pierre Collet, Bernard Host and Mike Keane for their scientific advise. VVe want to thank especially the authors of each chapter for their well­ prepared manuscripts and the stimulating conferences they gave at Santiago. We are also indebted to our sponsors and supporting institutions, whose interest and help was essential to organize this meeting: ECOS-CONICYT, FONDAP Program in Applied Mathematics, French Cooperation, Fundacion Andes, Presidential Fellowship and Universidad de Chile. We are grateful to Ms. Gladys Cavallone for their excellent work during the preparation of the meeting as well as for the considerable task of unifying the typography of the different chapters of this book.

Editors and Affiliations

  • Department of Mathematical Engineering, Faculty of Physical and Mathematical Sciences, University of Chile, Santiago, Chile

    Alejandro Maass, Servet Martínez, Jaime San Martín

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