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Zapiski Nauchnykh Seminarov POMI, 2020, Volume 498, Pages 5–17 (Mi znsl7031)  
This article is cited in 2 scientific papers (total in 2 papers)

I

Scaling entropy of unstable systems

G. A. Veprev

Leonhard Euler International Mathematical Institute, St. Petersburg, Russia
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Abstract: In this paper, we study the slow entropy-type invariant of a dynamic system proposed by A. M. Vershik. We provide an explicit construction of a system that has an empty class of scaling entropy sequences. For this unstable case, we introduce an upgraded notion of the invariant, generalize the subadditivity results, and provide an exhaustive series of examples.
Key words and phrases: zero entropy, scaling entropy, subadditivity, nonstable systems.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-15-2019-1619
Leonhard Euler International Charitable Foundation for Mathematics
The work is supported by the Ministry of Science and Higher Education of the Russian Federation, agreement No. 075-15-2019-1619. The work is also supported by the V. A. Rokhlin scholarship for young mathematicians.
Received: 20.09.2020
Document Type: Article
UDC: 517.987.5
Language: English
Citation: G. A. Veprev, “Scaling entropy of unstable systems”, Representation theory, dynamical systems, combinatorial methods. Part XXXI, Zap. Nauchn. Sem. POMI, 498, POMI, St. Petersburg, 2020, 5–17
Citation in format AMSBIB
\Bibitem{Vep20}
\by G.~A.~Veprev
\paper Scaling entropy of unstable systems
\inbook Representation theory, dynamical systems, combinatorial methods. Part~XXXI
\serial Zap. Nauchn. Sem. POMI
\yr 2020
\vol 498
\pages 5--17
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl7031}
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  • https://www.mathnet.ru/eng/znsl/v498/p5
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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