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Zapiski Nauchnykh Seminarov POMI, 2018, Volume 468, Pages 7–12 (Mi znsl6581)  
I

An announce of results linking Kolmogorov complexity to entropy for amenable group actions

A. V. Alpeev

Chebyshev Laboratory of St. Petersburg State University, 14th Line 29b, 199178 St. Petersburg, Russia
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Abstract: We announce a generalization of Brudno's results on the relation between the Kolmogorov complexity and the entropy of a subshift for actions of computable amenable groups.
Key words and phrases: entropy, amenable group, Kolmogorov complexity.
Funding agency Grant number
Russian Science Foundation 14-21-00035
This research is supported by the RSF grant 14-21-00035.
Received: 31.07.2018
English version:
Journal of Mathematical Sciences (New York), 2019, Volume 240, Issue 5, Pages 503–506
DOI: https://doi.org/10.1007/s10958-019-04367-x
Bibliographic databases:
Document Type: Article
UDC: 519.72+517.938
Language: English
Citation: A. V. Alpeev, “An announce of results linking Kolmogorov complexity to entropy for amenable group actions”, Representation theory, dynamical systems, combinatorial methods. Part XXIX, Zap. Nauchn. Sem. POMI, 468, POMI, St. Petersburg, 2018, 7–12; J. Math. Sci. (N. Y.), 240:5 (2019), 503–506
Citation in format AMSBIB
\Bibitem{Alp18}
\by A.~V.~Alpeev
\paper An announce of results linking Kolmogorov complexity to entropy for amenable group actions
\inbook Representation theory, dynamical systems, combinatorial methods. Part~XXIX
\serial Zap. Nauchn. Sem. POMI
\yr 2018
\vol 468
\pages 7--12
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6581}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2019
\vol 240
\issue 5
\pages 503--506
\crossref{https://doi.org/10.1007/s10958-019-04367-x}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85068329862}
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