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arXiv.org e-Print Archive
Preprint . 2019
Data sources: arXiv.org e-Print Archive
https://dx.doi.org/10.48550/ar...
Article . 2019
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Research . 2019
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Hausdorff and packing dimension of Diophantine sets

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Research 01 Jan 2019Embargo end date: 01 Jan 2019Publisher:arXivFunded by:FWF | Geometry of Numbers and D...
Authors: Antoine, MARNAT;

doi: 10.48550/arxiv.1904.08416

arXiv: http://arxiv.org/abs/1904.08416

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��k and Besicovitch to intermediate exponents.

arXiv admin note: text overlap with arXiv:1510.06334

Related Organizations
Keywords

101025 Number theory, 101025 Zahlentheorie, Mathematics - Number Theory, FOS: Mathematics, Number Theory (math.NT)

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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