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 Izv. Akad. Nauk SSSR Ser. Mat., 1974, Volume 38, Issue 1, Pages 170–212 (Mi izv1897)

Partially hyperbolic dynamical systems

M. I. Brin, Ya. B. Pesin

Abstract: Smooth dynamical systems having contracting and expanding invariant foliations (of not necessarily complementary dimensions) are investigated. Ergodicity and the $K$-property are established for such dynamical systems under additional assumptions.

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English version:
Mathematics of the USSR-Izvestiya, 1974, 8:1, 177–218

Bibliographic databases:

UDC: 517.9
MSC: 58F15, 28A65

Citation: M. I. Brin, Ya. B. Pesin, “Partially hyperbolic dynamical systems”, Izv. Akad. Nauk SSSR Ser. Mat., 38:1 (1974), 170–212; Math. USSR-Izv., 8:1 (1974), 177–218

Citation in format AMSBIB
\Bibitem{BriPes74} \by M.~I.~Brin, Ya.~B.~Pesin \paper Partially hyperbolic dynamical systems \jour Izv. Akad. Nauk SSSR Ser. Mat. \yr 1974 \vol 38 \issue 1 \pages 170--212 \mathnet{http://mi.mathnet.ru/izv1897} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=343316} \zmath{https://zbmath.org/?q=an:0304.58017} \transl \jour Math. USSR-Izv. \yr 1974 \vol 8 \issue 1 \pages 177--218 \crossref{https://doi.org/10.1070/IM1974v008n01ABEH002101} 

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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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