paper

Hausdorff and packing dimension of Diophantine sets

arXiv:1904.08416

Abstract

Using the variational principle in parametric geometry of numbers, we compute the Hausdorff and packing dimension of Diophantine sets related to exponents of Diophantine approximation, and their intersections. In particular, we extend a result of Jarník and Besicovitch to intermediate exponents.

arXiv admin note: text overlap with arXiv:1510.06334