Dimension estimates for certain sets of infinite complex continued fractions

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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 languageEnglish
Article number754134
JournalJournal of Mathematics
Volume2013
Number of pages5
ISSN2314-4629
DOIs
Publication statusPublished - 01.01.2013
Externally publishedYes

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Publisher Copyright:
© 2013 J. Neunhäuserer.

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