Number Theory and Dynamical Systems
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Number Theory and Dynamical Systems by M. M. Dodson
Book DescriptionThis 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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Book DetailsISBN: 9780521369190
(228mm x 152mm x 11mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 9-Nov-1989
Country of Publication: United Kingdom
Books By Author M. M. Dodson
Metric Diophantine Approximation on Manifolds, Hardback (October 1999)» View all books by M. M. Dodson
This 1999 book is concerned with Diophantine approximation on smooth manifolds embedded in Euclidean space.
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