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» The Kolmogorov complexity of random reals
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APAL
2004
84views more  APAL 2004»
13 years 4 months ago
The Kolmogorov complexity of random reals
We investigate the initial segment complexity of random reals. Let K( ) denote pre
Liang Yu, Decheng Ding, Rodney G. Downey
FSTTCS
2009
Springer
13 years 11 months ago
Kolmogorov Complexity in Randomness Extraction
We clarify the role of Kolmogorov complexity in the area of randomness extraction. We show that a computable function is an almost randomness extractor if and only if it is a Kolm...
John M. Hitchcock, Aduri Pavan, N. V. Vinodchandra...
CORR
2011
Springer
172views Education» more  CORR 2011»
12 years 11 months ago
Possibilities and impossibilities in Kolmogorov complexity extraction
Randomness extraction is the process of constructing a source of randomness of high quality from one or several sources of randomness of lower quality. The problem can be modeled ...
Marius Zimand
CORR
2008
Springer
115views Education» more  CORR 2008»
13 years 4 months ago
Kolmogorov complexity in perspective
We survey diverse approaches to the notion of information: from Shannon entropy to Kolmogorov complexity. Two of the main applications of Kolmogorov complexity are presented: rand...
Marie Ferbus-Zanda, Serge Grigorieff
CORR
2010
Springer
144views Education» more  CORR 2010»
13 years 2 months ago
Kolmogorov Complexity in perspective. Part I: Information Theory and Randomnes
We survey diverse approaches to the notion of information: from Shannon entropy to Kolmogorov complexity. Two of the main applications of Kolmogorov complexity are presented: rand...
Marie Ferbus-Zanda, Serge Grigorieff