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Dimension estimates for certain sets of infinite complex continued fractions

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Authors

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

Bibliographical note

Publisher Copyright:
© 2013 J. Neunhäuserer.

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Return of Fibonacci random walks

Neunhäuserer, J., 01.02.2017, In: Statistics and Probability Letters. 121, p. 51-53 3 p.

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Nonuniform Markov geometric measures

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

Neunhäuserer, J., 02.2013, In: Statistics and Probability Letters. 83, 2, p. 431-435 5 p.

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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.

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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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