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Dimension estimates for certain sets of infinite complex continued fractions

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

Standard

Dimension estimates for certain sets of infinite complex continued fractions. / Neunhäuserer, Jörg.
In: Journal of Mathematics, Vol. 2013, 754134, 01.01.2013.

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

Harvard

Neunhäuserer, J 2013, 'Dimension estimates for certain sets of infinite complex continued fractions', Journal of Mathematics, vol. 2013, 754134. https://doi.org/10.1155/2013/754134

APA

Neunhäuserer, J. (2013). Dimension estimates for certain sets of infinite complex continued fractions. Journal of Mathematics, 2013, Article 754134. https://doi.org/10.1155/2013/754134

Vancouver

Neunhäuserer J. Dimension estimates for certain sets of infinite complex continued fractions. Journal of Mathematics. 2013 Jan 1;2013:754134. doi: 10.1155/2013/754134

Bibtex

@article{94a852d3e7bc4ccbb51b1f03b9cae560,
title = "Dimension estimates for certain sets of infinite complex continued fractions",
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.",
keywords = "Mathematics",
author = "J{\"o}rg Neunh{\"a}userer",
note = "Publisher Copyright: {\textcopyright} 2013 J. Neunh{\"a}userer.",
year = "2013",
month = jan,
day = "1",
doi = "10.1155/2013/754134",
language = "English",
volume = "2013",
journal = "Journal of Mathematics",
issn = "2314-4629",
publisher = "John Wiley & Sons Ltd.",

}

RIS

TY - JOUR

T1 - Dimension estimates for certain sets of infinite complex continued fractions

AU - Neunhäuserer, Jörg

N1 - Publisher Copyright: © 2013 J. Neunhäuserer.

PY - 2013/1/1

Y1 - 2013/1/1

N2 - 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.

AB - 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.

KW - Mathematics

UR - http://www.scopus.com/inward/record.url?scp=85014249781&partnerID=8YFLogxK

U2 - 10.1155/2013/754134

DO - 10.1155/2013/754134

M3 - Journal articles

VL - 2013

JO - Journal of Mathematics

JF - Journal of Mathematics

SN - 2314-4629

M1 - 754134

ER -

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Neunhäuserer, J., 2015, In: Communications in Mathematical Analysis . 18, 1, p. 36-47 12 p.

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Absolutely continuous random power series in reciprocals of Pisot numbers

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A construction of singular overlapping asymmetric self-similar measures

Neunhäuserer, J., 12.2006, In: Acta Mathematica Hungarica. 113, 4, p. 333-343 11 p.

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

A family of exceptional parameters for non-uniform self-similar measures

Neunhäuserer, J., 12.04.2011, In: Electronic Communications in Probability. 16, p. 192-199 8 p., 19.

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