Large intersection properties in Diophantine approximation and dynamical systems
Number Theory
2014-02-26 v1 Dynamical Systems
Metric Geometry
Abstract
We investigate the large intersection properties of the set of points that are approximated at a certain rate by a family of affine subspaces. We then apply our results to various sets arising in the metric theory of Diophantine approximation, in the study of the homeomorphisms of the circle and in the perturbation theory for Hamiltonian systems.
Cite
@article{arxiv.0803.3852,
title = {Large intersection properties in Diophantine approximation and dynamical systems},
author = {Arnaud Durand},
journal= {arXiv preprint arXiv:0803.3852},
year = {2014}
}
Comments
24 pages