Dimensional explanation of capacity and ambiguity in information theory

DOI10.1007/BF03167484zbMath1021.94005OpenAlexW2020351511MaRDI QIDQ1859347

Fumio Ohi, Tatsuya Suzuki, Masasi Kowada

Publication date: 12 October 2003

Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03167484

zbMATH Keywords

Hausdorff dimensioninformation theoryambiguityergodic channel capacity

Mathematics Subject Classification ID

Measures of information, entropy (94A17) Information theory (general) (94A15) Coding theorems (Shannon theory) (94A24)

Cites Work

• On achieving channel capacity in finite-memory channels
• On the sum of digits of real numbers represented in the dyadic system. (On sets of fractional dimensions II.)
• Singular Functions Associated with Markov Chains
• On a Class of Monotone Functions Generated by Ergodic Sequences
• The Capacity and Ambiguity of a Transducer
• THE FRACTIONAL DIMENSION OF A SET DEFINED BY DECIMAL PROPERTIES
• Sets of Fractional Dimensions which Occur in Some Problems of Number Theory
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