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Zapiski Nauchnykh Seminarov POMI, 1997, Volume 240, Pages 147–153 (Mi znsl472)  

Some applications of computer to investigation of substitutional dynamical systems

A. N. Livshits
Abstract: A new sufficient condition for topological mixing of a permutational dynamical system is given. Using a computer, it was verified for a system studied earlier by other methods. For a permutation that does not satisfy the above sufficient condition, topological mixing is proved by a rather general method of recurrence relations. The formulas expressing these relations are written by a computer.
English version:
Journal of Mathematical Sciences (New York), 1999, Volume 96, Issue 5, Pages 3537–3541
DOI: https://doi.org/10.1007/BF02175832
Bibliographic databases:
UDC: 517.938.5
Language: English
Citation: A. N. Livshits, “Some applications of computer to investigation of substitutional dynamical systems”, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part II, Zap. Nauchn. Sem. POMI, 240, POMI, St. Petersburg, 1997, 147–153; J. Math. Sci. (New York), 96:5 (1999), 3537–3541
Citation in format AMSBIB
\Bibitem{Liv97}
\by A.~N.~Livshits
\paper Some applications of computer to investigation of substitutional dynamical systems
\inbook Representation theory, dynamical systems, combinatorial and algoritmic methods. Part~II
\serial Zap. Nauchn. Sem. POMI
\yr 1997
\vol 240
\pages 147--153
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl472}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1691644}
\zmath{https://zbmath.org/?q=an:1054.37501}
\transl
\jour J. Math. Sci. (New York)
\yr 1999
\vol 96
\issue 5
\pages 3537--3541
\crossref{https://doi.org/10.1007/BF02175832}
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