Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2010, Number 1, Pages 41–45 (Mi vmumm751)  

Mathematics

Construction of sequences of zeros and ones with complex finite sequences

A. Yu. Rumyantsev

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Abstract: We construct infinite sequences of zeros and ones under some restrictions (not to contain subwords of some definite type or definite bits at definite positions or so on). This paper concerns probabilistic methods of constructing such sequences with application of Lovasz Local Lemma and their Kolmogorov complexity reformulation.
Key words: Kolmogorov complexity, prefix complexity, sequence, subsequence, combinatorics, probability.
Received: 10.11.2008
Bibliographic databases:
Document Type: Article
UDC: 519.72
Language: Russian
Citation: A. Yu. Rumyantsev, “Construction of sequences of zeros and ones with complex finite sequences”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2010, no. 1, 41–45
Citation in format AMSBIB
\Bibitem{Rum10}
\by A.~Yu.~Rumyantsev
\paper Construction of sequences of zeros and ones with complex finite sequences
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2010
\issue 1
\pages 41--45
\mathnet{http://mi.mathnet.ru/vmumm751}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2664144}
\zmath{https://zbmath.org/?q=an:1304.68086}
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