A localized Jarnik-Besicovitch Theorem

Julien Barral, Stephane Seuret

Fundamental questions in Diophantine approximation are related to the Hausdorff dimension of sets of the form $\{x\in \mathbb{R}:{\delta }_x=\delta \}$, where $\delta \ge 1$ and ${\delta }_x$ is the Dioph…