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Russian Mathematical Surveys, 2009, Volume 64, Issue 5, Pages 805–871
DOI: https://doi.org/10.1070/RM2009v064n05ABEH004641 (Mi rm9315) 		 
This article is cited in 20 scientific papers (total in 20 papers)

Sequences close to periodic

An. A. Muchnika, Yu. L. Pritykinb, A. L. Semenovc

a Institute for New Technology in Education, Moscow
b M. V. Lomonosov Moscow State University
c Dorodnitsyn Computing Centre of the Russian Academy of Sciences
English version PDF (993 kB) Citations (20)
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DOI: https://doi.org/10.1070/RM2009v064n05ABEH004641
Abstract: This paper is a survey of concepts and results connected with generalizations of the notion of a periodic sequence, both classical and new. The topics discussed relate to almost periodicity in such areas as combinatorics on words, symbolic dynamics, expressibility in logical theories, computability, Kolmogorov complexity, and number theory.
Bibliography: 124 titles.
Keywords: combinatorics on words, symbolic dynamics, decidability of logical theories, almost periodic sequence, morphic sequence, Thue–Morse sequence, complexity of a sequence, Sturmian sequences.
Received: 07.08.2009
Russian version:
Uspekhi Matematicheskikh Nauk, 2009, Volume 64, Issue 5(389), Pages 21–96
DOI: https://doi.org/10.4213/rm9315
Bibliographic databases:
Document Type: Article
UDC: 510.5+510.6+519.101+517.938
MSC: 03-02, 03B25, 03D03, 03D05, 03D40, 05-02, 05A05, 11B50, 11B75, 11B85, 11J82, 20F10, 37B10, 37B40, 68Q30, 68Q45, 68Q70, 68R15
Language: English
Original paper language: Russian
Citation: An. A. Muchnik, Yu. L. Pritykin, A. L. Semenov, “Sequences close to periodic”, Uspekhi Mat. Nauk, 64:5(389) (2009), 21–96; Russian Math. Surveys, 64:5 (2009), 805–871
Citation in format AMSBIB
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    • This publication is cited in the following 20 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Abstract page:1649
    Russian version PDF:912
    English version PDF:68
    References:120
    First page:55
     
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