Dimension estimates for certain sets of infinite complex continued fractions
type: Item
instance of: scholarly article
title: Dimension estimates for certain sets of infinite complex continued fractions
zbMATH Open document ID: 1268.11104
DOI: 10.1155/2013/754134
published in: Journal of Mathematics
publication date: 2013-07-25T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 11K50
Mathematics Subject Classification ID: 11K55
zbMATH DE Number: 6191194
Wikidata QID: Q59015702
author: Jörg Neunhäuserer
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/754134
OpenAlex ID: W2054104090
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description: scientific article; zbMATH DE number 6191194