From Quasicrystals to More Complex Systems

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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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.

• Aperiodic Solids
• Disordered Systems
• Potential
• Quasicrystals
• Statistical Physics
• complex system
• complex systems
• condensed matter

"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)

• Physique des Solides, Orsay Cedex, France

  Françoise Axel, Françoise Dénoyer

• LPTMC, Paris Cedex 05, France

  Jean-Pierre Gazeau

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