By KAKIHARA YUICHIRO
Information concept is studied from the next issues of view: (1) the idea of entropy as quantity of knowledge; (2) the mathematical constitution of knowledge resources (probability measures); and (3) the speculation of knowledge channels. Shannon entropy and Kolmogorov–Sinai entropy are outlined and their simple houses are tested, the place the latter entropy is prolonged to be a linear practical on a undeniable set of measures. Ergodic and combining homes of desk bound assets are studied in addition to AMS (asymptotically suggest desk bound) sources.
The major function of this booklet is to offer info channels within the atmosphere of useful research and operator conception in addition to chance thought. Ergodic, blending, and AMS channels also are thought of intimately with a few illustrations. during this moment version, channel operators are studied in lots of points, which generalize usual channels. additionally Gaussian channels are thought of intimately including Gaussian measures on a Hilbert house. The distinct themes bankruptcy offers with positive factors resembling generalized potential, channels with an intermediate noncommutative approach, and von Neumann algebra process for channels. eventually, quantum (noncommutative) details channels are tested in an self reliant bankruptcy, that could be considered as an advent to quantum details concept. Von Neumann entropy is brought and its generalization to a C*-algebra surroundings is given. easy effects on quantum channels and entropy transmission also are considered.
- Information Sources
- Information Channels
- Channel Operators
- Gaussian Channels
- Special Topics
- Quantum Channels
- Glossaries of Axioms
Readership: Graduate scholars and researchers from arithmetic and verbal exchange Engineering.
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ABSTRACT METHODS IN INFORMATION THEORY (SECOND EDITION): 10 (SERIES ON MULTIVARIATE ANALYSIS) by KAKIHARA YUICHIRO