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Algorithms, Fractals, and Dynamics

  • Book
  • © 1995

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Editors:
  1. Y. Takahashi

    1. University of Tokyo, Tokyo, Japan

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Table of contents (19 chapters)

  1. Front Matter

    Pages i-viii
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  2. Associated Actions and Uniqueness of Cocycles

    • Jon Aaronson, Toshihiro Hamachi, Klaus Schmidt
    Pages 1-25

  3. Koksma’s Inequality and Group Extensions of Kronecker Transformations

    • Jon Aaronson, Mariusz LemaÅ„czyk, Christian Mauduit, Hitoshi Nakada
    Pages 27-50

  4. Normality to Different Bases

    • Gavin Brown
    Pages 51-57

  5. Spirals and Phase Transitions

    • Yves Dupain, Michel Mendes France, Claud Tricot
    Pages 59-62

  6. On an Ordering of Dynamics of Homeomorphisms

    • Koichi Hiraide
    Pages 63-78

  7. Poisson Law for Axiom a System

    • Masaki Hirata
    Pages 79-87

  8. Quadratic Maps with Maximal Oscillation

    • Franz Hofbauer, Gerhard Keller
    Pages 89-94

  9. Fractal Domains of Quasi-Periodic Motions on T 2

    • Shunji Ito
    Pages 95-99

  10. Prime type III λ Automorphisms: An Instance of Coding Techniques applied to Non-Singular maps

    • Andrés del Junco, César Silvan
    Pages 101-115

  11. The Dynamics of Self-Similar Sets on S 2 and Complex Dynamics

    • Atsushi Kameyama
    Pages 117-123

  12. The Essence of the Law of Large Numbers

    • Michael Keane
    Pages 125-129

  13. Rotation Invariance and Characterization of a Class of Self-Similar Diffusion Processes on the Sierpinski Gasket

    • Takashi Kumagai
    Pages 131-142

  14. Chaotic Phenomena in Density-Wave Oscillations

    • R. T. Lahey Jr., C. J. Chang, F. Bonetto, D. A. Drew
    Pages 143-159

  15. Fredholm Matrix and Zeta Functions for 1-Dimensional Mappings

    • Makoto Mori
    Pages 161-168

  16. On the Length Spectrum of the Bounded Scattering Billiards Table

    • Takehiko Morita
    Pages 169-177

  17. Continued Fractions, Geodesic Flows and Ford Circles

    • Hitoshi Nakada
    Pages 179-191

  18. A Short Proof of Even α-Equivalence

    • Kyewon Koh Park
    Pages 193-199

  19. Geodesic Flows on Manifolds of Negative Curvature

    • Ya. G. Sinai
    Pages 201-215

  20. Geometric Realizations of Hyperelliptic Curves

    • William A. Veech
    Pages 217-226
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Keywords

About this book

In 1992 two successive symposia were held in Japan on algorithms, fractals and dynamical systems. The first one was Hayashibara Forum '92: International Symposium on New Bases for Engineering Science, Algorithms, Dynamics and Fractals held at Fujisaki Institute of Hayashibara Biochemical Laboratories, Inc. in Okayama during November 23-28 in which 49 mathematicians including 19 from abroad participated. They include both pure and applied mathematicians of diversified backgrounds and represented 11 coun­ tries. The organizing committee consisted of the following domestic members and Mike KEANE from Delft: Masayosi HATA, Shunji ITO, Yuji ITO, Teturo KAMAE (chairman), Hitoshi NAKADA, Satoshi TAKAHASHI, Yoichiro TAKAHASHI, Masaya YAMAGUTI The second one was held at the Research Institute for Mathematical Science at Kyoto University from November 30 to December 2 with emphasis on pure mathematical side in which more than 80 mathematicians participated. This volume is a partial record of the stimulating exchange of ideas and discussions which took place in these two symposia.

Editors and Affiliations

  • University of Tokyo, Tokyo, Japan

    Y. Takahashi

Bibliographic Information

  • Book Title: Algorithms, Fractals, and Dynamics

  • Editors: Y. Takahashi

  • DOI: https://doi.org/10.1007/978-1-4613-0321-3

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Plenum Press, New York 1995

  • Softcover ISBN: 978-1-4613-7996-6Published: 17 September 2011

  • eBook ISBN: 978-1-4613-0321-3Published: 06 December 2012

  • Edition Number: 1

  • Number of Pages: VIII, 227

  • Topics: Topology

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