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On the Hausdorff dimension of a set of complex continued fractions

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Publication:1167760
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zbMath0492.10042MaRDI QIDQ1167760

R. Daniel Mauldin, Richard J. Gardner

Publication date: 1983

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)


zbMATH Keywords

Hausdorff dimensioncontinued fractionergodic measure


Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. (11K16)


Related Items (6)

Intermediate dimensions of infinitely generated attractors ⋮ Dimension estimates for certain sets of infinite complex continued fractions ⋮ Hausdorff dimensions of perturbations of a conformal iterated function system via thermodynamic formalism ⋮ Lower bound on the Hausdorff dimension of a set of complex continued fractions ⋮ A new approach to numerical computation of Hausdorff dimension of iterated function systems: applications to complex continued fractions ⋮ Assouad type dimensions of infinitely generated self-conformal sets







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