ENGLISH

Computability and randomness

By André Nies

Book information

Publisher
Oxford University Press
Year
2009
ISBN
0199230765, 9780199230761
LCC
QA267.7 .N54 2009
Language
english
Format
PDF
Filesize
2 MB (2482764 bytes)
Series
Oxford Logic Guides 51
Pages
450\450
Topic
Mathematics Logic
Library
Kolxo3
Orientation
portrait
Paginated
yes
Scanned
no
Time added
2011-07-22 07:35:22

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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