On instability of the ergodic limit theorems with respect to small violations of algorithmic randomness

机译：关于较小违反算法随机性的遍历极限定理的不稳定性

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An instability property of the Birkhoff's ergodic theorem and related asymptotic laws with respect to small violations of algorithmic randomness is studied. The Shannon-McMillan-Breiman theorem and all universal compression schemes are also among them.

机译：研究了伯克霍夫遍历定理和相关渐近定律关于算法随机性的小违反的不稳定性。 Shannon-McMillan-Breiman定理和所有通用压缩方案也在其中。

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《2011 IEEE International Symposium on Information Theory Proceedings》|2011年|p.1514-1518|共5页
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Vyugin Vladimir;
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中图分类信息处理技术;
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On instability of the ergodic limit theorems with respect to small violations of algorithmic randomness

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