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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.
List of contents
Associated Actions and Uniqueness of Cocyclem.- Koksma's Inequality and Group Extensions of Kronecker Transformations.- Normality to Different Bases.- Spirals and Phase Transitions.- On an Ordering of Dynamics of Homeomorphisms.- Poisson Law for Axiom A System.- Quadratic Maps with Maximal Oscillation.- Fractal Domains of Quasi-Periodic Motions on T2.- Prime type III? Automorphisms: An Instance of Coding Techniques applied to Non-Singular maps.- The Dynamics of Self-Similar Sets on S2 and Complex Dynamics.- The Essence of the Law of Large Numbers.- Rotation Invariance and Characterization of a Class of Self-Similar Diffusion Processes on the Sierpinski Gasket.- Chaotic Phenomena in Density-Wave Oscillations.- Fredholm Matrix and Zeta Functions for 1-Dimensional Mappings.- On the Length Spectrum of the Bounded Scattering Billiards Table.- Continued Fractions, Geodesic Flows and Ford Circles.- A Short Proof of Even ?-Equivalence.- Geodesic Flows on Manifolds of Negative Curvature.- Geometric Realizations of Hyperelliptic Curves.
Summary
Proceedings of the Hayashibara Forum '92: International Symposium on New Bases for Engineering Science, Algorithms, Dynamics and Fractals held in Okayama, Japan, November 23-28, 1992, and a symposium held in Kyoto, Japan, November 30-December 2, 1992
