Dimension Estimates for Certain Sets of Infinite Complex Continued Fractions

J. Neunhäuserer

Journal of Mathematics, 2013, vol. 2013, 1-5

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.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:754134

DOI: 10.1155/2013/754134

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