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Subcomputable Hausdorff function dimension
Theoretical Computer Science, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Hausdorff dimension in exponential time
Proceedings 16th Annual IEEE Conference on Computational Complexity, 2002In this paper we investigate effective versions of Hausdorff dimension which have been recently introduced by Lutz. We focus on dimension in the class E of sets computable in linear exponential time. We determine the dimension of various classes related to fundamental structural properties including different types of autoreducibility and immunity.
Klaus Ambos-Spies +3 more
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Hausdorff Dimension versus Smoothness
2007There is a one-to-one correspondence between C1+H Cantor exchange systems that are C1+H fixed points of renormalization and C1+H diffeomorphisms f on surfaces with a codimension 1 hyperbolic attractor Λ that admit an invariant measure absolutely continuous with respect to the Hausdorff measure on Λ. However, there is no such C1+α Cantor exchange system
Ferreira, Flávio +2 more
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Hausdorff dimension of univoque sets
Acta Cybern., 1999Summary: We present the results obtained so far for the determination of the Hausdorff dimension of the univoque set in number systems with base number greater than 1. The investigation is based on the methods presented in \textit{Z. Daróczy} and \textit{I. Kátai} [Publ. Math. 42, 397-407 (1993; Zbl 0809.11008) and ibid.
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Hausdorff dimension of chaotic attractors in a class of nonsmooth systems
Chaos, Solitons and Fractals, 2021Denghui Li +2 more
exaly
Fractal dimension for fractal structures: A Hausdorff approach revisited
Journal of Mathematical Analysis and Applications, 2014M Fernández-Martínez +1 more
exaly
Hausdorff dimension of quasi-circles
Publications Mathematiques De L'Institut Des Hautes Etudes Scientifiques, 1979Rufus Bowen
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