Hausdorff and packing dimension of Diophantine sets

Antoine Marnat

Research output: Contribution to journalArticle

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 Jarn\'ik and Besicovitch to intermediate exponents.
Original languageUndefined/Unknown
JournalarXiv.org e-Print archive
Publication statusPublished - 17 Apr 2019

Keywords

  • math.NT

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