Non-robustness property of the individual ergodic theorem

V. V. V'yugin

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


It is shown that the individual ergodic Birkhof theorem has non-robustness property. Namely, any small growth of the randomness defect at the initial fragments of an infinite succession breaks the theorem assertion. Analogous non-robustness property is realized and for assertion of the Shennon theorem.

Original languageEnglish
Pages (from-to)27-39
Number of pages13
JournalProblemy Peredachi Informatsii
Issue number2
Publication statusPublished - 2001
Externally publishedYes


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