Computability and Randomness (Paperback) (ISBN-13: 9780199652600)

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.

The book covers topics such as lowness and highness properties, Kolmogorov complexity, betting strategies and higher computability. Both the basics and recent research results are desribed, providing 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.

Author: Andre Nies
ISBN-10: 0199652600
ISBN-13: 9780199652600
Publisher: Oxford University Press
Language: English
Published: 05/16/2012
Pages: 452
Format: Paperback
Weight: 1.63lbs
Size: 9.10h x 6.10w x 1.00d