Computability and Randomness is popular PDF and ePub book, written by André Nies in 2012-03-29, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Computability and Randomness can be Read Online from any device for your convenience.
Computability and Randomness Book PDF Summary
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.
Detail Book of Computability and Randomness PDF
- Author : André Nies
- Release : 29 March 2012
- Publisher : OUP Oxford
- ISBN : 9780191627880
- Genre : Mathematics
- Total Page : 450 pages
- Language : English
- PDF File Size : 11,5 Mb
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