Measure-theoretic construction for information theory

DOI10.2996/kmj/1138845876zbMath0209.21807OpenAlexW2075283675MaRDI QIDQ5609842

Yatsuka Nakamura

Publication date: 1969

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2996/kmj/1138845876

Mathematics Subject Classification ID

Measures of information, entropy (94A17) Information theory (general) (94A15) Measure-theoretic ergodic theory (28D99)

Related Items

A non-ergodic compound source with a mixing input source and an Adler ergodic channel ⋮ Ergodicity of asymptotically mean stationary channels ⋮ Representations and extremal properties of averaging operators and their applications to information shannels ⋮ Ergodic decomposition of a stationary channel operator

Cites Work

• A Mathematical Theory of Communication
• On the basic theorems of information theory
• On the integral representation of the rate of transmission of a stationary channel
• Über die Struktur der mittleren Entropie
• Contributions to information theory for abstract alphabets
• Representation of invariant measures
• Representations and extremal properties of averaging operators and their applications to information shannels
• The Individual Ergodic Theorem of Information Theory
• General formulation of Shannon’s main theorem in information theory
• General treatment of alphabet-message space and integral representation of entropy
• A functional method for stationary channels
• Ergodic and Mixing Properties of Infinite Memory Channels
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