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 Izv. Akad. Nauk SSSR Ser. Mat., 1971, Volume 35, Issue 2, Pages 324–366 (Mi izv1975)

On the relations among various entropy characteristics of dynamical systems

E. I. Dinaburg

Abstract: This paper deals with the relation between topological entropy and $\varepsilon$-entropy of the space of segments of trajectories of dynamical systems, as well as the relation between topological and metrical entropies. The results obtained are applied to some classical dynamical systems.

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English version:
Mathematics of the USSR-Izvestiya, 1971, 5:2, 337–378

Bibliographic databases:

UDC: 513.88
MSC: 28A65, 54H20, 58F99

Citation: E. I. Dinaburg, “On the relations among various entropy characteristics of dynamical systems”, Izv. Akad. Nauk SSSR Ser. Mat., 35:2 (1971), 324–366; Math. USSR-Izv., 5:2 (1971), 337–378

Citation in format AMSBIB
\Bibitem{Din71} \by E.~I.~Dinaburg \paper On the relations among various entropy characteristics of dynamical systems \jour Izv. Akad. Nauk SSSR Ser. Mat. \yr 1971 \vol 35 \issue 2 \pages 324--366 \mathnet{http://mi.mathnet.ru/izv1975} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=286091} \zmath{https://zbmath.org/?q=an:0216.44704} \transl \jour Math. USSR-Izv. \yr 1971 \vol 5 \issue 2 \pages 337--378 \crossref{https://doi.org/10.1070/IM1971v005n02ABEH001050} 

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Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

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