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Kolmogorov Complexity and Algorithmic Randomness - AMS Book

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Description

Explore the fundamental principles of algorithmic information theory through this comprehensive mathematical text. When observing a sequence of zeros and ones, human intuition often suggests whether a pattern is random or not. This book explains why that intuition exists by connecting randomness to compressibility. If a sequence can be produced by a short program, it possesses small complexity and is not truly random. This volume traces these concepts back to the foundational work of Solomonoff, Kolmogorov, Chaitin, and Levin. The text is structured to serve both students and researchers. The first part functions as a textbook-style exposition, introducing the basic notions of complexity and randomness. The second part provides deeper coverage of the subject matter, making it an essential resource for those studying applied mathematics and information theory. Published by the American Mathematical Society, this book offers a clear path into one of the most fascinating areas of modern mathematics.

Key Features

Provides a textbook-style exposition of the basic notions of complexity and randomness for learners.

Explains the relationship between sequence compressibility and algorithmic information theory.

Covers the foundational ideas established by Solomonoff, Kolmogorov, Chaitin, and Levin.

Structured in two parts to transition from basic concepts to advanced mathematical coverage.

Published by the American Mathematical Society for academic and professional reliability.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
30 July 2017
Listed Since
19 April 2017

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