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RSA
2008
63views more  RSA 2008»
13 years 4 months ago
On the size of the algebraic difference of two random Cantor sets
In this paper we consider some families of random Cantor sets on the line and investigate the question whether the condition that the sum of Hausdorff dimension is larger than one ...
Michel Dekking, Károly Simon
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
COCO
2001
Springer
122views Algorithms» more  COCO 2001»
13 years 9 months ago
Hausdorff Dimension in Exponential Time
In this paper we investigate effective versions of Hausdorff dimension which have been recently introduced by Lutz. We focus on dimension in the class E of sets computable in line...
Klaus Ambos-Spies, Wolfgang Merkle, Jan Reimann, F...