Hausdorff and packing dimension of Diophantine sets

Research output: Contribution to journalArticleResearch

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

Cite this

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

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

Research output: Contribution to journalArticleResearch

@article{c9d90076e9f34c5cb0da2dc79d79a3fd,
title = "Hausdorff and packing dimension of Diophantine sets",
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.",
keywords = "math.NT",
author = "Antoine Marnat",
year = "2019",
month = "4",
day = "17",
language = "undefiniert/unbekannt",
journal = "arXiv.org e-Print archive",
publisher = "Cornell University Library",

}

TY - JOUR

T1 - Hausdorff and packing dimension of Diophantine sets

AU - Marnat, Antoine

PY - 2019/4/17

Y1 - 2019/4/17

N2 - 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.

AB - 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.

KW - math.NT

M3 - Artikel

JO - arXiv.org e-Print archive

JF - arXiv.org e-Print archive

ER -