Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2023, Number 6, Pages 27–36
DOI: https://doi.org/10.55959/MSU0579-9368-1-64-6-4 (Mi vmumm4576) 		 
Mathematics

Exact Baire classification of local entropy of parametric sets of dynamical systems

A. N. Vetokhinab

a Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
b Bauman Moscow State Technical University
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DOI: https://doi.org/10.55959/MSU0579-9368-1-64-6-4
Abstract: We consider a parametric family of dynamical systems defined on a locally compact metric space and continuously dependent on a parameter from some metric space. For any such family, the local entropy of the dynamical systems included in it is studied as a function of a parameter from the point of view of the Baire classification of functions.
Key words: dynamical systems, local entropy, Baire classification of functions.
Received: 24.05.2023
English version:
Moscow University Mathematics Bulletin, 2023, Volume 78, Issue 6, Pages 281–290
DOI: https://doi.org/10.3103/S0027132223060086
Bibliographic databases:
Document Type: Article
UDC: 517.93
Language: Russian
Citation: A. N. Vetokhin, “Exact Baire classification of local entropy of parametric sets of dynamical systems”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2023, no. 6, 27–36; Moscow University Mathematics Bulletin, 78:6 (2023), 281–290
Citation in format AMSBIB
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\by A.~N.~Vetokhin
\paper Exact Baire classification of local entropy of parametric sets of dynamical systems
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2023
\issue 6
\pages 27--36
\mathnet{http://mi.mathnet.ru/vmumm4576}
\crossref{https://doi.org/10.55959/MSU0579-9368-1-64-6-4}
\elib{https://elibrary.ru/item.asp?id=58422745}
\transl
\jour Moscow University Mathematics Bulletin
\yr 2023
\vol 78
\issue 6
\pages 281--290
\crossref{https://doi.org/10.3103/S0027132223060086}
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