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From Quasicrystals to More Complex Systems

Les Houches School, February 23 – March 6, 1998

  • Conference proceedings
  • © 2000

Overview

Editors:
  1. Françoise Axel

    1. Physique des Solides, Orsay Cedex, France

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  2. Françoise Dénoyer

    1. Physique des Solides, Orsay Cedex, France

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    You can also search for this editor in PubMed   Google Scholar

  3. Jean-Pierre Gazeau

    1. LPTMC, Paris Cedex 05, France

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Part of the book series: Centre de Physique des Houches (LHWINTER, volume 13)

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Table of contents (14 papers)

  1. Front Matter

    Pages I-XX
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  2. Dynamics and Transport Properties of Aperiodic Crystals

    • T. Janssen
    Pages 1-22

  3. Diffraction Experiments on Quasicrystals and Related Phases

    • F. Dénoyer
    Pages 23-48

  4. Electronic Properties of Quasicrystals. A Comparison with Approximant Phases and Disordered Systems

    • C. Berger, T. Grenet
    Pages 49-83

  5. Exact Electron States in 1D (Quasi-) Periodic Arrays of Delta-Potentials

    • P. Kramer, T. Kramer
    Pages 85-114

  6. Random Tiling Models for Quasicrystals

    • E. Cockayne
    Pages 115-143

  7. Model Sets: A Survey

    • R. V. Moody
    Pages 145-166

  8. Acceptance Windows Compatible with a Quasicrystal Fragment

    • Z. Masáková, J. Patera, E. Pelantová
    Pages 167-193

  9. Counting Systems with Irrational Basis for Quasicrystals

    • J. P. Gazeau, R. Krejcar
    Pages 195-217

  10. Acoustic-Like Excitations in Strongly Disordered Media

    • E. Courtens, R. Vacher
    Pages 219-259

  11. Intermittent Dynamics and Ageing in Glassy Systems

    • J.-Ph. Bouchaud
    Pages 261-271

  12. A Short Introduction to Ergodic Theory and Its Applications

    • F. M. Dekking
    Pages 273-289

  13. Fractality and the Kinetics of Chaos

    • G. M. Zaslavsky
    Pages 291-314

  14. Long-Tailed Distributions in Physics

    • M. F. Shlesinger, J. Klafter, G. Zumofen
    Pages 315-328

  15. Distribution of Galaxies: Scaling vs. Fractality

    • R. Balian
    Pages 329-344

  16. Back Matter

    Pages 345-374
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Keywords

About this book

This book is a collection of part of the written versions of the Physics Courses given at the Winter School "Order, Chance and Risk: Aperiodic Phenomena from Solid State to Finance" held at the Les Houches Center for Physics, between February 23 and March 6, 1998. The School gathered lecturers and participants from all over the world. On a thematic level, the content of the school can be viewed both as a continuation (aperiodic phenomena in solid state physics) and an extension (mathematical aspects of fmance and economy) of the previous "Beyond Quasicrystals", also held at Les Houches, March 7-18 1994 and published in the same ·series. One of its important goals was to promote in-depth concrete scientific exchanges between theoretical physicists, experimental physicists and mathematicians on the one hand, and on the other hand practitioners of the economico-fmancial sphere and specialists of financial mathematics. Therefore, besides the mathematical tools and concepts at work in theoretical descriptions, relevant experimental data were also presented together with methods allowing their interpretation. As a result of this choice, the School was stimulated by experimentalists and fmancial market operators who joined the theoretical physicists and mathematicians at the conference. The present volume deals with the theoretical and experimental studies on aperiodic solids with long range order, incommensurate phases, quasicrystals, glasses, and more complex systems (fractal, chaotic), while a second volume to appear in the same series is devoted to the finance and economy facet.

Reviews

"The deliberate pedagogical approach of the authors makes this book particularly useful for graduate students and experimentalists wishing to acquaint themselves with the fundamental concepts." (Zeitschrift für Kristallographie, 217/10, 2002)

Editors and Affiliations

  • Physique des Solides, Orsay Cedex, France

    Françoise Axel, Françoise Dénoyer

  • LPTMC, Paris Cedex 05, France

    Jean-Pierre Gazeau

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