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» Effective Packing Dimension and Traceability
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IPL
2008
72views more  IPL 2008»
13 years 4 months ago
Turing degrees of reals of positive effective packing dimension
A relatively longstanding question in algorithmic randomness is Jan Reimann's question whether there is a Turing cone of broken dimension. That is, is there a real A such that...
Rod Downey, Noam Greenberg
CIE
2008
Springer
13 years 6 months ago
Effective Dimensions and Relative Frequencies
Consider the problem of calculating the fractal dimension of a set X consisting of all infinite sequences S over a finite alphabet that satisfy some given condition P on the asympt...
Xiaoyang Gu, Jack H. Lutz
CIE
2005
Springer
13 years 10 months ago
Schnorr Dimension
Following Lutz’s approach to effective (constructive) dimension, we define a notion of dimension for individual sequences based on Schnorr’s concept(s) of randomness. In contr...
Rodney G. Downey, Wolfgang Merkle, Jan Reimann