Algorithmic Randomness and Complexity



Bookstore > Books > Algorithmic Randomness and Complexity

Price$69.99
Rating
AuthorsRod G. Downey, Denis Roman Hirschfeldt
PublisherSpringer
Published2010
Pages855
LanguageEnglish
FormatPaper book / ebook (PDF)
ISBN-100387684417
ISBN-139780387684413
EBook Hardcover Paperback

Intuitively, a sequence such as 101010101010101010... does not seem random, whereas 101101011101010100..., obtained using coin tosses, does. How can we reconcile this intuition with the fact that both are statistically equally likely? What does it mean to say that an individual mathematical object such as a real number is random, or to say that one real is more random than another? And what is the relationship between randomness and computational power. The theory of algorithmic randomness uses tools from computability theory and algorithmic information theory to address questions such as these.





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