Kolmogorov Complexity and Algorithmic Randomness

Language: English

Published by American Mathematical Society, US, 2017

1470470640 / 9781470470647

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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.

Seller Inventory # LU-9781470470647

Title
Kolmogorov Complexity and Algorithmic Randomness
Author
V. A. Uspensky, N. Vereshchagin, A. Shen
Publisher
American Mathematical Society, US
Publication year
2017
Condition
New
Binding
Paperback
Language
English
ISBN 10
1470470640
ISBN 13
9781470470647

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