Kolmogorov Complexity and Algorithmic Randomness is popular PDF and ePub book, written by A. Shen in 2022-05-18, 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, Kolmogorov Complexity and Algorithmic Randomness can be Read Online from any device for your convenience.
Kolmogorov Complexity and Algorithmic Randomness Book PDF Summary
Looking at a sequence of zeros and ones, we often feel that it is not random, that is, it is not plausible as an outcome of fair coin tossing. Why? The answer is provided by algorithmic information theory: because the sequence is compressible, that is, it has small complexity or, equivalently, can be produced by a short program. This idea, going back to Solomonoff, Kolmogorov, Chaitin, Levin, and others, is now the starting point of algorithmic information theory. The first part of this book is a textbook-style exposition of the basic notions of complexity and randomness; the second part covers some recent work done by participants of the “Kolmogorov seminar” in Moscow (started by Kolmogorov himself in the 1980s) and their colleagues. This book contains numerous exercises (embedded in the text) that will help readers to grasp the material.
Detail Book of Kolmogorov Complexity and Algorithmic Randomness PDF
- Author : A. Shen
- Release : 18 May 2022
- Publisher : American Mathematical Society
- ISBN : 9781470470647
- Genre : Mathematics
- Total Page : 511 pages
- Language : English
- PDF File Size : 18,6 Mb
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