When van Lambalgen’s Theorem fails
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- by Liang Yu PDF
- Proc. Amer. Math. Soc. 135 (2007), 861-864 Request permission
Abstract:
We prove that van Lambalgen’s Theorem fails for both Schnorr randomness and computable randomness.References
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Additional Information
- Liang Yu
- Affiliation: Department of Mathematics, Faculty of Science, National University of Singapore, Lower Kent Ridge Road, Singapore 117543
- Address at time of publication: Institute of Mathematical Science, Nanjing University, 210093, JiangSu Province, People’s Republic of China
- MR Author ID: 725077
- Email: yuliang.nju@gmail.com
- Received by editor(s): July 11, 2005
- Received by editor(s) in revised form: August 21, 2005, and October 17, 2005
- Published electronically: September 15, 2006
- Additional Notes: The author was supported by a postdoctoral fellowship from computability theory and algorithmic randomness R-146-000-054-123 in Singapore, NSF of China No.10471060 and No.10420130638. The author thanks the referee for kindly correcting numerous English errors.
- Communicated by: Julia Knight
- © Copyright 2006
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 135 (2007), 861-864
- MSC (2000): Primary 03D28, 68Q30
- DOI: https://doi.org/10.1090/S0002-9939-06-08541-8
- MathSciNet review: 2262883