Dimension estimates for certain sets of infinite complex continued fractions

Jörg Neunhäuserer

doi:10.1155/2013/754134

Dimension estimates for certain sets of infinite complex continued fractions

Jörg Neunhäuserer

Clausthal University of Technology

Research output: Journal contributions › Journal articles › Research › peer-review

Abstract

We prove upper and lower estimates on the Hausdorff dimension of sets of infinite complex continued fractions with finitely many prescribed Gaussian integers. Particulary we will conclude that the dimension of theses sets is not zero or two and there are such sets with dimension greater than one and smaller than one.

Original language	English
Article number	754134
Journal	Journal of Mathematics
Volume	2013
Number of pages	5
ISSN	2314-4629
DOIs	https://doi.org/10.1155/2013/754134
Publication status	Published - 01.01.2013
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2013 J. Neunhäuserer.

Research areas and keywords

Mathematics

ASJC Scopus Subject Areas

Mathematics(all)

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10.1155/2013/754134Licence: CC BY

VolltextFinal published version, 1.91 MBLicence: CC BY

Cite this

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M3 - Journal articles

SN - 2314-4629

VL - 2013

JO - Journal of Mathematics

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ER -

Dimension estimates for certain sets of infinite complex continued fractions

Abstract

Bibliographical note

Research areas and keywords

ASJC Scopus Subject Areas

Access to Document

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Cite this