## Publications

### Published/Accepted

- omega-change randomness and weak Demuth randomness (with Keng Meng Ng) (.pdf)

To appear in the*Journal of Symbolic Logic.*

- Lowness for difference tests (with David Diamondstone) (.pdf)

To appear in the*Notre Dame Journal of Formal Logic.*

- Anti-complex sets and reducibilities with tiny use (with Noam Greenberg, Frank Stephan, and Guohua Wu) (.pdf)

*Journal of Symbolic Logic,*vol. 78 (2013), pp. 1307-1327.

- Local computability for ordinals (with Asher M. Kach, Russell Miller, and Reed Solomon) (.pdf)

In P. Bonizzoni, V. Brattka, and B. Loewe, eds.,*Lecture Notes in Computer Science,*vol. 7921 (2013), pp. 161-170.

- Degrees of categoricity and the hyperarithmetic hierarchy (with Barbara F. Csima and Richard A. Shore) (.pdf)

*Notre Dame Journal of Formal Logic,*vol. 54 (2013), pp. 215-231.

- Martin-Loef random points satisfy Birkhoff's ergodic theorem for effectively closed sets (with Noam Greenberg, Joseph S. Miller, and Keng Meng Ng) (.pdf)

*Proceedings of the AMS,*vol. 140 (2012), pp. 3623-3628.

- Relativizations of randomness and genericity notions (with Frank Stephan and Liang Yu) (.pdf)

*Bulletin of the London Mathematical Society,*vol. 43 (2011), pp. 721-733.

- Van Lambalgen's Theorem and high degrees (with Frank Stephan) (.pdf)

*Notre Dame Journal of Formal Logic,*vol. 52 (2011), pp. 173-185.

- A superhigh diamond in the c.e. tt-degrees (with Douglas Cenzer, Jiang Liu, and Guohua Wu) (.pdf)

*Archive for Mathematical Logic,*vol. 50 (2011), pp. 33-44.

- Difference randomness (with Keng Meng Ng) (.pdf)

*Proceedings of the AMS,*vol. 139 (2011), pp. 345-360.

- Subclasses of the weakly random reals (.pdf)

*Notre Dame Journal of Formal Logic,*vol. 51 (2010), pp. 417-426.

- Schnorr trivial sets and truth-table reducibility (with Frank Stephan) (.pdf)

*Journal of Symbolic Logic,*vol. 75 (2010), pp. 501-521.

An earlier version was published as Technical Report TRA3/08, School of Computing, National University of Singapore, 2008.

- Schnorr triviality and genericity (.pdf)

*Journal of Symbolic Logic,*vol. 75 (2010), pp. 191-207.

- Lowness and highness properties for randomness notions (survey paper) (.pdf)

In T. Arai et al., editors,*Proceedings of the 10th Asian Logic Conference,*pp. 124-151. World Scientific, 2010.

- Hyperimmune-free degrees and Schnorr triviality (.pdf)

*Journal of Symbolic Logic,*vol. 73 (2008), pp. 999-1008.

- Schnorr trivial reals: A construction (.pdf)

*Archive for Mathematical Logic,*vol. 46 (2008), pp. 665-678.

An earlier version appeared in*Electronic Notes in Theoretical Computer Science,*167 (2007), pp. 79-93.

### Submitted

- Randomness and nonergodic systems (with Henry Towsner) (.pdf)

- Degrees that are low for isomorphism (with Reed Solomon) (.pdf)

### In preparation

- On intersections of r.e. and random sets (with Frank Stephan)

- The Turing degrees of UD-random reals (with Wesley Calvert)

- LR-bases and their Turing degrees (with Keng Meng Ng and Reed Solomon)

### Other

- Six papers on lowness and highness for randomness notions

*Bulletin of Symbolic Logic.*vol. 19(1) (2013), pp. 115-118.

- Greg Chaitin: Mathematics, Biology, and Metabiology

*Fields Notes,*vol. 10(2) (2010), p. 8.