Kolmogorov Complexity and Algorithmic Randomness
- ISBN-10
- 1470440830
- ISBN-13
- 9781470440831
- Category
- Mathematics
- Pages
- 534
- Language
- English
- Published
- 2017
- Author
- A. Shen
Description
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 cover.
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Other editions
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- 2022-05-18
- 511 pages
- Ebook
- American Mathematical Society
-
- 2017-11-02
- 511 pages
- Ebook
- American Mathematical Soc.
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