ENGLISH

Computability and Randomness

By André Nies

Book information

Publisher
Oxford University Press, USA
Year
2009
ISBN
0199230765, 9780199230761, 9780191552274
Language
english
Format
PDF
Filesize
3 MB (3051807 bytes)
Series
Oxford Logic Guides
Pages
450\450
Library
avaxhome.ws
Time added
2010-05-31 15:29:46

Description

The interplay between computability and randomness has been an active area of research in recent years, reflected by ample funding in the USA, numerous workshops, and publications on the subject. The complexity and the randomness aspect of a set of natural numbers are closely related. Traditionally, computability theory is concerned with the complexity aspect. However, computability theoretic tools can also be used to introduce mathematical counterparts for the intuitive notion of randomness of a set. Recent research shows that, conversely, concepts and methods originating from randomness enrich computability theory. Covering the basics as well as recent research results, this book provides a very readable introduction to the exciting interface of computability and randomness for graduates and researchers in computability theory, theoretical computer science, and measure theory.

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