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Number Theory and Dynamical Systems : London Mathematical Society Lecture Notes - M. M. Dodson

Number Theory and Dynamical Systems

London Mathematical Society Lecture Notes

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

Paperback Published: 8th January 1990
ISBN: 9780521369190
Number Of Pages: 184

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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.

Non-degeneracy in the perturbation theory of integrable dynamical systems Helmut Riissmann
Infinite dimensional inverse function theorems and small divisors
Metric Diophantine approximation of quadratic forms
Symbolic dynamics and Diophantine equations Caroline Series
On badly approximable numbers, Schmidt games and bounded orbits of flows
Estimates for Fourier coefficients of cusp forms
The integral geometry of fractals
Geometry of algebraic continued fractals
Chaos implies confusion
The Riemann hypothesis and the Hamiltonian of a quantum mechanical system
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521369190
ISBN-10: 0521369193
Series: London Mathematical Society Lecture Notes
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 184
Published: 8th January 1990
Publisher: CAMBRIDGE UNIV PR
Country of Publication: GB
Dimensions (cm): 22.86 x 15.24  x 1.07
Weight (kg): 0.28