Abstract Methods in Information Theory is popular PDF and ePub book, written by Yichir Kakihara in 1999, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Abstract Methods in Information Theory can be Read Online from any device for your convenience.
Abstract Methods in Information Theory Book PDF Summary
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 information channels in the environment of real and functional analysis as well as probability theory. Ergodic channels are characterized in various manners. Mixing and AMS channels are also considered in detail with some illustrations. A few other aspects of information channels including measurability, approximation and noncommutative extensions, are also discussed.
Detail Book of Abstract Methods in Information Theory PDF
- Author : Yichir Kakihara
- Release : 03 July 1999
- Publisher : World Scientific
- ISBN : 9810237111
- Genre : Mathematics
- Total Page : 272 pages
- Language : English
- PDF File Size : 14,9 Mb
If you're still pondering over how to secure a PDF or EPUB version of the book Abstract Methods in Information Theory by Yichir Kakihara, don't worry! All you have to do is click the 'Get Book' buttons below to kick off your Download or Read Online journey. Just a friendly reminder: we don't upload or host the files ourselves.