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math.DS2018
Hausdorff measures and packing measures of the limit sets of CIFSs of generalized complex continued fractions
Kanji Inui, Hiroki Sumi
We consider a family of CIFSs of the generalized complex continued fractions with a complex parameter space. We show that for each CIFS of the family, the Hausdorff measure of the…
math.DS2018
The Hausdorff dimension function of the family of conformal iterated function systems of generalized complex continued fractions
Kanji Inui, Hikaru Okada, Hiroki Sumi
We consider the family of CIFSs of generalized complex continued fractions with a complex parameter space. This is a new interesting example to which we can apply a general theory…