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- W2984163908 abstract "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 of infinite CIFSs and analytic families of infinite CIFSs. We show that the Hausdorff dimension function of the family of the CIFSs of generalized complex continued fractions is continuous in the parameter space and is real-analytic and subharmonic in the interior of the parameter space. As a corollary of these results, we also show that the Hausdorff dimension function has a maximum point and the maximum point belongs to the boundary of the parameter space." @default.
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- W2984163908 date "2020-01-01" @default.
- W2984163908 modified "2023-09-25" @default.
- W2984163908 title "The Hausdorff dimension function of the family of conformal iterated function systems of generalized complex continued fractions" @default.
- W2984163908 doi "https://doi.org/10.3934/dcds.2020060" @default.
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