Computability and Randomness Vol 51 by André Nies (.PDF)
File Size: 2 MB
Computability and Randomness (Oxford Logic Guides Volume 51) by André Nies
Requirements: .PDF reader, 2 MB
Overview: 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.
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