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A stronger Kolmogorov zero-one law for resource-bounded measure

Jack Jie Dai
2003 Theoretical Computer Science  
This result strengthens Lutz's resource-bounded generalization of the classical Kolmogorov zero-one law.  ...  Resource-bounded measure has been deÿned on the classes E; E2; ESPACE; E2SPACE; REC, and the class of all languages.  ...  Lutz for his careful reading a draft of this paper and his many useful suggestions. I would like to thank an anonymous referee for many good suggestions.  ... 
doi:10.1016/s0304-3975(02)00320-1 fatcat:tqsqew2wingjnd556zrshhnyw4

A stronger Kolmogorov zero-one law for resource-bounded measure

J.J. Dai
Proceedings 16th Annual IEEE Conference on Computational Complexity  
This result strengthens Lutz's resource-bounded generalization of the classical Kolmogorov zero-one law.  ...  Resource-bounded measure has been deÿned on the classes E; E2; ESPACE; E2SPACE; REC, and the class of all languages.  ...  Lutz for his careful reading a draft of this paper and his many useful suggestions. I would like to thank an anonymous referee for many good suggestions.  ... 
doi:10.1109/ccc.2001.933887 dblp:conf/coco/Dai01 fatcat:7xw2ib3qgrbp7guvutl5eolylm

Page 3298 of Mathematical Reviews Vol. , Issue 2004d [page]

2004 Mathematical Reviews  
— ZPP.” 2004d:68043 68Q15 60C05 Dai, Jack Jie (1-IASU; Ames, IA) A stronger Kolmogorov zero-one law for resource-bounded measure. (English summary) Theoret. Comput. Sci. 292 (2003), no. 3, 723-732.  ...  This result strengthens Lutz’s resource-bounded generalization of the classical Kolmogorov zero-one law.  ... 

Self-Regularization in turbulence from the Kolmogorov 4/5-Law and Alignment [article]

Theodore D. Drivas
2021 arXiv   pre-print
A defining feature of 3D hydrodynamic turbulence is that the rate of energy dissipation is bounded away from zero as viscosity is decreased (Reynolds number increased).  ...  mechanism via the Kolmogorov 4/5-law.  ...  Eyink for many useful conversations; it was he who suggested that there should be a connection between the 4/5-law and selfregularization. I thank also P. Constantin, H. Q. Nguyen and V.  ... 
arXiv:2111.03493v1 fatcat:tfdmqcq5vrfzjoje6w7youzq5m

On the polynomial depth of various sets of random strings [article]

Philippe Moser
2010 arXiv   pre-print
., both trivial and random sequences are not monotone poly deep, monotone poly depth satisfies the slow growth law i.e., no simple process can transform a non deep sequence into a deep one, and monotone  ...  This paper proposes new notions of polynomial depth (called monotone poly depth), based on a polynomial version of monotone Kolmogorov complexity.  ...  Resource-bounded measure is a measure theory within the complexity class E developed by Lutz [14] , which is obtained by imposing polynomial resource-bounds on a game theoretical characterization of classical  ... 
arXiv:1012.3548v2 fatcat:ralusil4dbhqla4uu2u7dmy3pu

SIGACT News Complexity Theory Column 90

Lane A. Hemaspaandra
2016 ACM SIGACT News  
It is an open question whether zero-one laws hold for the dimensions of ZPP or RP, although measure zero-one laws are known for these classes [76, 36] .  ...  In his 2004 Ph.D. thesis, Moser strengthened this measure zero-one law to the following dimension zero-one law.  ... 
doi:10.1145/2902945.2902956 fatcat:msndim5zojbp3foumjkvxzygte

SIGACT news complexity theory column 53

Lane A. Hemaspaandra
2006 ACM SIGACT News  
It is an open question whether zero-one laws hold for the dimensions of ZPP or RP, although measure zero-one laws are known for these classes [76, 36] .  ...  In his 2004 Ph.D. thesis, Moser strengthened this measure zero-one law to the following dimension zero-one law.  ... 
doi:10.1145/1189056.1189070 fatcat:cmpmfig64bddffhwgltzpj63we

SIGACT News Complexity Theory Column 93

Lane A. Hemaspaandra
2016 ACM SIGACT News  
It is an open question whether zero-one laws hold for the dimensions of ZPP or RP, although measure zero-one laws are known for these classes [76, 36] .  ...  In his 2004 Ph.D. thesis, Moser strengthened this measure zero-one law to the following dimension zero-one law.  ... 
doi:10.1145/2993749.2993760 fatcat:mx5j6usfhjfddcyo4wxtnbv3yu

SIGACT News Complexity Theory Column 76

Lane A. Hemaspaandra, Ryan Williams
2012 ACM SIGACT News  
It is an open question whether zero-one laws hold for the dimensions of ZPP or RP, although measure zero-one laws are known for these classes [76, 36] .  ...  In his 2004 Ph.D. thesis, Moser strengthened this measure zero-one law to the following dimension zero-one law.  ... 
doi:10.1145/2421119.2421135 fatcat:p2a5ecbgbnft3lzgebwbowdmmu

SIGACT news complexity theory column 68

Lane A. Hemaspaandra
2010 ACM SIGACT News  
It is an open question whether zero-one laws hold for the dimensions of ZPP or RP, although measure zero-one laws are known for these classes [76, 36] .  ...  In his 2004 Ph.D. thesis, Moser strengthened this measure zero-one law to the following dimension zero-one law.  ... 
doi:10.1145/1907450.1907540 fatcat:yjmstef32fddld66vygrwxalye

SIGACT news complexity theory column 75

Lane A. Hemaspaandra
2012 ACM SIGACT News  
It is an open question whether zero-one laws hold for the dimensions of ZPP or RP, although measure zero-one laws are known for these classes [76, 36] .  ...  In his 2004 Ph.D. thesis, Moser strengthened this measure zero-one law to the following dimension zero-one law.  ... 
doi:10.1145/2421096.2421114 fatcat:f5djqkzlxbgpnexonx3nbes7yy

SIGACT news complexity theory column 74

Lane A. Hemaspaandra
2012 ACM SIGACT News  
It is an open question whether zero-one laws hold for the dimensions of ZPP or RP, although measure zero-one laws are known for these classes [76, 36] .  ...  In his 2004 Ph.D. thesis, Moser strengthened this measure zero-one law to the following dimension zero-one law.  ... 
doi:10.1145/2261417.2261433 fatcat:lgl35brhzber7fd5zxjfg33qqa

SIGACT news complexity theory column 64

Lane A. Hemaspaandra
2009 ACM SIGACT News  
It is an open question whether zero-one laws hold for the dimensions of ZPP or RP, although measure zero-one laws are known for these classes [76, 36] .  ...  In his 2004 Ph.D. thesis, Moser strengthened this measure zero-one law to the following dimension zero-one law.  ... 
doi:10.1145/1620491.1620505 fatcat:qxrexazldjdkvheu7nne2zwdv4

SIGACT news complexity theory column 38

Lane A. Hemaspaandra
2002 ACM SIGACT News  
It is an open question whether zero-one laws hold for the dimensions of ZPP or RP, although measure zero-one laws are known for these classes [76, 36] .  ...  In his 2004 Ph.D. thesis, Moser strengthened this measure zero-one law to the following dimension zero-one law.  ... 
doi:10.1145/601819.601829 fatcat:imbbxfpldnbmfgmupwvaec3p5a

SIGACT news complexity theory column 72

Lane A. Hemaspaandra
2011 ACM SIGACT News  
It is an open question whether zero-one laws hold for the dimensions of ZPP or RP, although measure zero-one laws are known for these classes [76, 36] .  ...  In his 2004 Ph.D. thesis, Moser strengthened this measure zero-one law to the following dimension zero-one law.  ... 
doi:10.1145/2078162.2078176 fatcat:fy5k3uhrn5c5tl44rmjgl4a6cu
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