André Nies. Lowness properties and randomness. Advances in Mathematics, vol. 197 , no. 1, pp. 274–305. - Bjørn Kjos-Hanssen, André Nies, and Frank Stephan. Lowness for the class of Schnorr random reals. SIAM Journal on Computing, vol. 35 , no. 3, pp. 647–657. - Noam Greenberg and Joseph S. Miller. Lowness for Kurtz randomness. The Journal of Symbolic Logic, vol. 74 , no. 2, pp. 665–678. - Laurent Bienvenu and Joseph S. Miller. Randomness and lowness notions via open covers. Annals of Pure and Applied Logic, vol. 163 , no. 5, pp. 506–518. - Johanna N. Y. Franklin, Frank Stephan, and Liang. Yu Relativizations of randomness and genericity notions. The Bulletin of the London Mathematical Society, vol. 43 , no. 4, pp. 721–733. - George Barmpalias, Joseph S. Miller, and André Nies. Randomness notions and partial relativization. Israel Journal of Mathematics, vol. 191 , no. 2, pp. 791–816 [Book Review]
Bulletin of Symbolic Logic 19 (1):115-118 (2013)
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Reviewed Work(s): Lowness properties and randomness. Advances in Mathematics, vol. 197 by André Nies; Lowness for the class of Schnorr random reals. SIAM Journal on Computing, vol. 35 by Bjørn Kjos-Hanssen; André Nies; Frank Stephan; Lowness for Kurtz randomness. The Journal of Symbolic Logic, vol. 74 by Noam Greenberg; Joseph S. Miller; Randomness and lowness notions via open covers. Annals of Pure and Applied Logic, vol. 163 by Laurent Bienvenu; Joseph S. Miller; Relativizations of randomness and genericity notions. The Bulletin of the London Mathematical Society, vol. 43 by Johanna N. Y. Franklin; Frank Stephan; Liang Yu; Randomness notions and partial relativization. Israel Journal of Mathematics, vol. 191 by George Barmpalias; Joseph S. Miller; André Nies. [REVIEW]Johanna N. Y. Franklin - forthcoming - Association for Symbolic Logic: The Bulletin of Symbolic Logic.
Higher kurtz randomness.Bjørn Kjos-Hanssen, André Nies, Frank Stephan & Liang Yu - 2010 - Annals of Pure and Applied Logic 161 (10):1280-1290.
Randomness, relativization and Turing degrees.André Nies, Frank Stephan & Sebastiaan A. Terwijn - 2005 - Journal of Symbolic Logic 70 (2):515-535.
Lowness and Π₂⁰ nullsets.Rod Downey, Andre Nies, Rebecca Weber & Liang Yu - 2006 - Journal of Symbolic Logic 71 (3):1044-1052.
Lowness and $\Pi _{2}^{0}$ Nullsets.Rod Downey, Andre Nies, Rebecca Weber & Liang Yu - 2006 - Journal of Symbolic Logic 71 (3):1044 - 1052.
Continuous higher randomness.Laurent Bienvenu, Noam Greenberg & Benoit Monin - 2017 - Journal of Mathematical Logic 17 (1):1750004.
Lowness for Kurtz randomness.Noam Greenberg & Joseph S. Miller - 2009 - Journal of Symbolic Logic 74 (2):665-678.
Randomness and lowness notions via open covers.Laurent Bienvenu & Joseph S. Miller - 2012 - Annals of Pure and Applied Logic 163 (5):506-518.
Truth-table Schnorr randomness and truth-table reducible randomness.Kenshi Miyabe - 2011 - Mathematical Logic Quarterly 57 (3):323-338.
Computably enumerable sets below random sets.André Nies - 2012 - Annals of Pure and Applied Logic 163 (11):1596-1610.
Randomness and computability: Open questions.Joseph S. Miller & André Nies - 2006 - Bulletin of Symbolic Logic 12 (3):390-410.
Lowness for the class of Schnorr random sets.B. Kjös-Hanssen, A. Nies & F. Stephan - 2005 - Notre Dame Journal of Formal Logic 35 (3):647-657.
Superhighness.Bjørn Kjos-Hanssen & Andrée Nies - 2009 - Notre Dame Journal of Formal Logic 50 (4):445-452.
Benign cost functions and lowness properties.Noam Greenberg & André Nies - 2011 - Journal of Symbolic Logic 76 (1):289 - 312.
Hyperimmune-free degrees and Schnorr triviality.Johanna N. Y. Franklin - 2008 - Journal of Symbolic Logic 73 (3):999-1008.
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