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Dimension estimates for certain sets of infinite complex continued fractions

Publikation: Beiträge in Zeitschriften › Zeitschriftenaufsätze › Forschung › begutachtet

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.
OriginalspracheEnglisch
Aufsatznummer754134
ZeitschriftJournal of Mathematics
Jahrgang2013
Anzahl der Seiten5
ISSN2314-4629
DOIs
PublikationsstatusErschienen - 01.01.2013
Extern publiziertJa

Bibliographische Notiz

Publisher Copyright:
© 2013 J. Neunhäuserer.

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