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Item Details
Title: KOLMOGOROV COMPLEXITY AND ALGORITHMIC RANDOMNESS
By: A. Shen, V. A. Uspensky, N. Vereshchagin
Format: Hardback

List price: £119.00


We currently do not stock this item, please contact the publisher directly for further information.

ISBN 10: 1470431823
ISBN 13: 9781470431822
Publisher: AMERICAN MATHEMATICAL SOCIETY
Pub. date: 30 July, 2017
Series: Mathematical Surveys and Monographs
Pages: 499
Description: Offers a textbook-style exposition of the basic notions of complexity and randomness; and 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.
Synopsis: 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.
Publication: US
Imprint: American Mathematical Society
Returns: Returnable
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