Large intersection properties in Diophantine approximation and dynamical systems

Details Large intersection properties in Diophantine approximation and dynamical systems Large intersection properties in Diophantine approximation and dynamical systems

2008-03-27

arxiv.org/abs/0803.3852v1

Mathematics

Number Theory

24 pages

Scientific paper

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.

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