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Subcomputable Hausdorff function dimension

Theoretical Computer Science, 2021
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Hausdorff dimension in exponential time

Proceedings 16th Annual IEEE Conference on Computational Complexity, 2002
In 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
openaire   +1 more source

Hausdorff Dimension versus Smoothness

2007
There 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., 1999
Summary: 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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EFFECTIVE HAUSDORFF DIMENSION

2005
Jan Reimann, Frank Stephan
openaire   +1 more source

Hausdorff dimension of chaotic attractors in a class of nonsmooth systems

Chaos, Solitons and Fractals, 2021
Denghui Li   +2 more
exaly  

Fractal dimension for fractal structures: A Hausdorff approach revisited

Journal of Mathematical Analysis and Applications, 2014
M Fernández-Martínez   +1 more
exaly  

Hausdorff dimension of quasi-circles

Publications Mathematiques De L'Institut Des Hautes Etudes Scientifiques, 1979
Rufus Bowen
exaly  

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