Combinatorial properties of the Hausdorff dimension

DOI10.1016/0378-3758(89)90042-6zbMath0709.11041OpenAlexW1998090580MaRDI QIDQ921037

Ludwig Staiger

Publication date: 1989

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-3758(89)90042-6

zbMATH Keywords

entropyHausdorff dimensionstructure functionchannel capacityalphabet

Mathematics Subject Classification ID

Formal languages and automata (68Q45) Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Measures of information, entropy (94A17)

Related Items (6)

Asymptotic Subword Complexity ⋮ The Kolmogorov complexity of infinite words ⋮ Local Hausdorff dimension ⋮ Fractals, dimension, and formal languages ⋮ INFINITE ITERATED FUNCTION SYSTEMS IN CANTOR SPACE AND THE HAUSDORFF MEASURE OF ω-POWER LANGUAGES ⋮ Unnamed Item

Cites Work

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• A Mathematical Theory of Communication
• Über Hausdorffsche Dimensionen von Mengen, die durch Zifferneigenschaften charakterisiert sind. V
• Billingsley dimension in probability spaces
• On the entropy of context-free languages
• The Capacity and Ambiguity of a Transducer

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