Algorithmic Randomness and Complexity

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Science (General)
Algorithmic Randomness and Complexity

Algorithmic Randomness and Complexity

Name: Algorithmic Randomness and Complexity
ISBN: 9780387684413

Rod G. Downey, Denis Roman Hirschfeldt

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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.

Categorias:

Science (General)

Ano:

2010

Editora:

Springer

Idioma:

english

Páginas:

855

ISBN 10:

0387684417