Journal Articles

1. Speedability of Computably Approximable Reals and Their Approximations
   
   George Barmpalias, Nan Fang, Wolfgang Merkle, and Ivan Titov
   Information and Computation 311 (2026), 105451
   

   PDF Preprint DOI
2. Integer-Valued Martingales and Cl-Turing Reductions
   
   Nan Fang, Lu Liu, and Liang Yu
   Theoretical Computer Science 1040 (2025), 115202
   

   PDF DOI
3. Extending CL-reducibility on Array Noncomputable Degrees
   
   Nan Fang and Wolfgang Merkle
   Information and Computation 303 (2025), 105258
   

   PDF DOI
4. Granularity of Wagers in Games and the Possibility of Saving
   
   George Barmpalias and Nan Fang
   Information and Computation 275 (2020), 104600
   

   PDF Preprint DOI
5. Monotonous Betting Strategies in Warped Casinos
   
   George Barmpalias, Nan Fang, and Andrew Lewis-Pye
   Information and Computation 271 (2020), 104480
   

   PDF Preprint DOI
6. Equivalences between Learning of Data and Probability Distributions, and Their Applications
   
   George Barmpalias, Nan Fang, and Frank Stephan
   Information and Computation 262 (2018), 123-140
   

   PDF Preprint DOI
7. Optimal asymptotic bounds on the oracle use in computations from Chaitin's Omega
   
   George Barmpalias, Nan Fang, and Andrew Lewis-Pye
   Journal of Computer and System Sciences 82 (2016), 1283–1299
   

   PDF Preprint DOI