Book contents
- Frontmatter
- Contents
- Contributors
- Introduction
- Chapter 1 Non-degeneracy in the perturbation theory of integrable dynamical systems
- Chapter 2 Infinite dimensional inverse function theorems and small divisors
- Chapter 3 Metric Diophantine approximation of quadratic forms
- Chapter 4 Symbolic dynamics and Diophantine equations
- Chapter 5 On badly approximable numbers, Schmidt games and bounded orbits of flows
- Chapter 6 Estimates for Fourier coefficients of cusp forms
- Chapter 7 The integral geometry of fractals
- Chapter 8 Geometry of algebraic continued fractals
- Chapter 9 Chaos implies confusion
- Chapter 10 The Riemann hypothesis and the Hamiltonian of a quantum mechanical system
Chapter 2 - Infinite dimensional inverse function theorems and small divisors
Published online by Cambridge University Press: 18 March 2010
Book contents
- Frontmatter
- Contents
- Contributors
- Introduction
- Chapter 1 Non-degeneracy in the perturbation theory of integrable dynamical systems
- Chapter 2 Infinite dimensional inverse function theorems and small divisors
- Chapter 3 Metric Diophantine approximation of quadratic forms
- Chapter 4 Symbolic dynamics and Diophantine equations
- Chapter 5 On badly approximable numbers, Schmidt games and bounded orbits of flows
- Chapter 6 Estimates for Fourier coefficients of cusp forms
- Chapter 7 The integral geometry of fractals
- Chapter 8 Geometry of algebraic continued fractals
- Chapter 9 Chaos implies confusion
- Chapter 10 The Riemann hypothesis and the Hamiltonian of a quantum mechanical system
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- Number Theory and Dynamical Systems , pp. 19 - 36Publisher: Cambridge University PressPrint publication year: 1989