All Title Author
Keywords Abstract

Mathematics  2003 

Hausdorff Dimension and Diophantine Approximation

Full-Text   Cite this paper   Add to My Lib

Abstract:

We begin with a brief treatment of Hausdorff measure and Hausdorff dimension. We then explain some of the principal results in Diophantine approximation and the Hausdorff dimension of related sets, originating in the pioneering work of Vojtech Jarnik. We conclude with some applications of these results to the metrical structure of exceptional sets associated with some famous problems. It is not intended that all the recent developments be covered but they can be found in the references cited.

Full-Text

comments powered by Disqus