Ebook: Algorithms, Fractals, and Dynamics
- Tags: Statistics general
- Year: 1996
- Publisher: Springer US
- Edition: 1
- Language: English
- pdf
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.
Content:
Front Matter....Pages i-viii
Associated Actions and Uniqueness of Cocycles....Pages 1-25
Koksma’s Inequality and Group Extensions of Kronecker Transformations....Pages 27-50
Normality to Different Bases....Pages 51-57
Spirals and Phase Transitions....Pages 59-62
On an Ordering of Dynamics of Homeomorphisms....Pages 63-78
Poisson Law for Axiom a System....Pages 79-87
Quadratic Maps with Maximal Oscillation....Pages 89-94
Fractal Domains of Quasi-Periodic Motions on T 2 ....Pages 95-99
Prime type III ? Automorphisms: An Instance of Coding Techniques applied to Non-Singular maps....Pages 101-115
The Dynamics of Self-Similar Sets on S 2 and Complex Dynamics....Pages 117-123
The Essence of the Law of Large Numbers....Pages 125-129
Rotation Invariance and Characterization of a Class of Self-Similar Diffusion Processes on the Sierpinski Gasket....Pages 131-142
Chaotic Phenomena in Density-Wave Oscillations....Pages 143-159
Fredholm Matrix and Zeta Functions for 1-Dimensional Mappings....Pages 161-168
On the Length Spectrum of the Bounded Scattering Billiards Table....Pages 169-177
Continued Fractions, Geodesic Flows and Ford Circles....Pages 179-191
A Short Proof of Even ?-Equivalence....Pages 193-199
Geodesic Flows on Manifolds of Negative Curvature....Pages 201-215
Geometric Realizations of Hyperelliptic Curves....Pages 217-226
Back Matter....Pages 227-227
Content:
Front Matter....Pages i-viii
Associated Actions and Uniqueness of Cocycles....Pages 1-25
Koksma’s Inequality and Group Extensions of Kronecker Transformations....Pages 27-50
Normality to Different Bases....Pages 51-57
Spirals and Phase Transitions....Pages 59-62
On an Ordering of Dynamics of Homeomorphisms....Pages 63-78
Poisson Law for Axiom a System....Pages 79-87
Quadratic Maps with Maximal Oscillation....Pages 89-94
Fractal Domains of Quasi-Periodic Motions on T 2 ....Pages 95-99
Prime type III ? Automorphisms: An Instance of Coding Techniques applied to Non-Singular maps....Pages 101-115
The Dynamics of Self-Similar Sets on S 2 and Complex Dynamics....Pages 117-123
The Essence of the Law of Large Numbers....Pages 125-129
Rotation Invariance and Characterization of a Class of Self-Similar Diffusion Processes on the Sierpinski Gasket....Pages 131-142
Chaotic Phenomena in Density-Wave Oscillations....Pages 143-159
Fredholm Matrix and Zeta Functions for 1-Dimensional Mappings....Pages 161-168
On the Length Spectrum of the Bounded Scattering Billiards Table....Pages 169-177
Continued Fractions, Geodesic Flows and Ford Circles....Pages 179-191
A Short Proof of Even ?-Equivalence....Pages 193-199
Geodesic Flows on Manifolds of Negative Curvature....Pages 201-215
Geometric Realizations of Hyperelliptic Curves....Pages 217-226
Back Matter....Pages 227-227
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