Number Theory and Dynamical Systems by M M Dodson

Number Theory and Dynamical Systems by M M Dodson

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Number Theory and Dynamical Systems by M M Dodson

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.
SKU Unavailable
ISBN 13 9780521369190
ISBN 10 0521369193
Title Number Theory and Dynamical Systems
Author M M Dodson
Series London Mathematical Society Lecture Note Series
Condition Unavailable
Binding Type Paperback
Publisher Cambridge University Press
Year published 1989-11-09
Number of pages 184
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
Note Unavailable