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Number theory and dynamical systems /
This volume contains selected contributions from a very successful meeting on Number Theory and Dynamical Systems held at the University of York in 1987. There are close and surprising connections between number theory and dynamical systems. One emerged last century from the study of the stability o...
| Clasificación: | Libro Electrónico |
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| Otros Autores: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge ; New York :
Cambridge University Press,
1989.
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| Colección: | London Mathematical Society lecture note series ;
134. |
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | This volume contains selected contributions from a very successful meeting on Number Theory and Dynamical Systems held at the University of York in 1987. There are close and surprising connections between number theory and dynamical systems. One emerged last century from the study of the stability of the solar system where problems of small divisors associated with the near resonance of planetary frequencies arose. Previously the question of the stability of the solar system was answered in more general terms by the celebrated KAM theorem, in which the relationship between near resonance (and so Diophantine approximation) and stability is of central importance. Other examples of the connections involve the work of Szemeredi and Furstenberg, and Sprindzuk. As well as containing results on the relationship between number theory and dynamical systems, the book also includes some more speculative and exploratory work which should stimulate interest in different approaches to old problems. |
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| Notas: | Contributions from a meeting held at the University of York, March 30-April 15, 1987. |
| Descripción Física: | 1 online resource (172 pages) : illustrations |
| Bibliografía: | Includes bibliographical references. |
| ISBN: | 9781107361553 1107361559 9780511661983 0511661983 |