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Abstract methods in information theory
Information Theory is studied from the following view points: (1) the theory of entropy as amount of information; (2) the mathematical structure of information sources (probability measures); and (3) the theory of information channels. Shannon entropy and Kolmogorov-Sinai entropy are defined and the...
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| Lenguaje: | eng |
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World Scientific
1999
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| Acceso en línea: | http://cds.cern.ch/record/430564 |
| _version_ | 1780895227472510976 |
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| author | Kakihara, Yuichiro |
| author_facet | Kakihara, Yuichiro |
| author_sort | Kakihara, Yuichiro |
| collection | CERN |
| description | Information Theory is studied from the following view points: (1) the theory of entropy as amount of information; (2) the mathematical structure of information sources (probability measures); and (3) the theory of information channels. Shannon entropy and Kolmogorov-Sinai entropy are defined and their basic properties are examined, where the latter entropy is extended to be a linear functional on a certain set of measures. Ergodic and mixing properties of stationary sources are studied as well as AMS (asymptotically mean stationary) sources. The main purpose of this book is to present informat |
| id | cern-430564 |
| institution | Organización Europea para la Investigación Nuclear |
| language | eng |
| publishDate | 1999 |
| publisher | World Scientific |
| record_format | invenio |
| spelling | cern-4305642021-04-22T03:09:58Zhttp://cds.cern.ch/record/430564engKakihara, YuichiroAbstract methods in information theoryMathematical Physics and MathematicsInformation Theory is studied from the following view points: (1) the theory of entropy as amount of information; (2) the mathematical structure of information sources (probability measures); and (3) the theory of information channels. Shannon entropy and Kolmogorov-Sinai entropy are defined and their basic properties are examined, where the latter entropy is extended to be a linear functional on a certain set of measures. Ergodic and mixing properties of stationary sources are studied as well as AMS (asymptotically mean stationary) sources. The main purpose of this book is to present informatWorld Scientificoai:cds.cern.ch:4305641999 |
| spellingShingle | Mathematical Physics and Mathematics Kakihara, Yuichiro Abstract methods in information theory |
| title | Abstract methods in information theory |
| title_full | Abstract methods in information theory |
| title_fullStr | Abstract methods in information theory |
| title_full_unstemmed | Abstract methods in information theory |
| title_short | Abstract methods in information theory |
| title_sort | abstract methods in information theory |
| topic | Mathematical Physics and Mathematics |
| url | http://cds.cern.ch/record/430564 |
| work_keys_str_mv | AT kakiharayuichiro abstractmethodsininformationtheory |