Hausdorff and packing dimension of Diophantine sets

Antoine Marnat

Hausdorff and packing dimension of Diophantine sets

Institute of Analysis and Number Theory (5010)

Research output: Contribution to journal › Article › Research

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 language	Undefined/Unknown
Journal	arXiv.org e-Print archive
Publication status	Published - 17 Apr 2019

Keywords

math.NT

Cite this

Marnat, A. (2019). Hausdorff and packing dimension of Diophantine sets. arXiv.org e-Print archive.

Hausdorff and packing dimension of Diophantine sets. / Marnat, Antoine.

In: arXiv.org e-Print archive, 17.04.2019.

Research output: Contribution to journal › Article › Research

Marnat, A 2019, 'Hausdorff and packing dimension of Diophantine sets' arXiv.org e-Print archive.

Marnat A. Hausdorff and packing dimension of Diophantine sets. arXiv.org e-Print archive. 2019 Apr 17.

Marnat, Antoine. / Hausdorff and packing dimension of Diophantine sets. In: arXiv.org e-Print archive. 2019.

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