9780521369190: LMS: 134 Number Theory & Dynamical

Sinossi

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

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Descrizione del libro

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.

Contenuti

1. Non-degeneracy in the perturbation theory of integrable dynamical systems Helmut Riissmann; 2. Infinite dimensional inverse function theorems and small divisors J. A. G. Vickers; 3. Metric Diophantine approximation of quadratic forms S. J. Patterson; 4. Symbolic dynamics and Diophantine equations Caroline Series; 5. On badly approximable numbers, Schmidt games and bounded orbits of flows S. G. Dani; 6. Estimates for Fourier coefficients of cusp forms S. Raghavan and R. Weissauer; 7. The integral geometry of fractals K. J. Falconer; 8. Geometry of algebraic continued fractals J. Harrison; 9. Chaos implies confusion Michel Mendes France; 10. The Riemann hypothesis and the Hamiltonian of a quantum mechanical system J. V. Armitage.

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