2004/01/01 by M. M. Dodson, Simon Kristensen · 1 citation
Mathematics · #Mathematical Dynamics and Fractals #Advanced Topology and Set Theory
paper · doi:10.1090/pspum/072.1/2112110
openalex publication_date 2004/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/02
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.