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Arithmetic Density

Part of: Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems Diophantine approximation, transcendental number theory

Published online by Cambridge University Press:  14 December 2015

Mauricio Garay
Mauricio Garay*
Affiliation:
Lycée Franco-Allemand, Rue Colin Mamet, 78530 Buc, France ([email protected])
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Abstract

We give measure estimates for sets appearing in the study of dynamical systems, such as preimages of Diophantine classes.

Keywords

Diophantine approximationKAM theoryHerman invariant tori conjecture

MSC classification

Secondary: 11J83: Metric theory 37J40: Perturbations, normal forms, small divisors, KAM theory, Arnol'd diffusion
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 59 , Issue 3 , August 2016 , pp. 691 - 700
Copyright
Copyright © Edinburgh Mathematical Society 2015 

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