NUMBER THEORY AND DYNAMICAL SYSTEMS by M. M. Dodson (Editor), J. A. G. Vickers (Editor) ( 9780511661983 )

Item Details

Title:

NUMBER THEORY AND DYNAMICAL SYSTEMS

By:

M. M. Dodson (Editor), J. A. G. Vickers (Editor)

Format:

Electronic book text

List price:	£85.00
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ISBN 10:

0511661983

ISBN 13:

9780511661983

Publisher:

CAMBRIDGE UNIVERSITY PRESS

Pub. date:

18 March, 2010

Series:

London Mathematical Society Lecture Note Series 134

Description:

This volume contains selected contributions from a very successful meeting on Number Theory and Dynamical Systems held at the University of York in 1987.

Synopsis:

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.

Publication:

Imprint:

Cambridge University Press (Virtual Publishing)

Returns:

Non-returnable

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