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Russian Academy of Sciences. Izvestiya Mathematics, 1993, Volume 41, Issue 3, Pages 567–580
DOI: https://doi.org/10.1070/IM1993v041n03ABEH002276 (Mi im909) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Gibbs measures for one-dimensional attractors of hyperbolic mappingss with singularities

E. A. Sataev
English version PDF (691 kB) Citations (5) Russian version article
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DOI: https://doi.org/10.1070/IM1993v041n03ABEH002276
Abstract: The author constructs and studies the properties of a $u$-Gibbs invariant measure for hyperbolic mappings with singularities, for which the unstable subspace is one-dimensional and which satisfy some regularity conditions. These conditions are satisfied by the Lorenz mapping, the Lozi mapping and the Belykh mapping among others. Various properties are proved: the denseness of periodic trajectories, topological transitivity, and convergence of the means.
Received: 29.03.1991
Bibliographic databases:
UDC: 517.938
MSC: Primary 58F11, 58F12, 58F15; Secondary 28D05
Language: English
Original paper language: Russian
Citation: E. A. Sataev, “Gibbs measures for one-dimensional attractors of hyperbolic mappingss with singularities”, Russian Acad. Sci. Izv. Math., 41:3 (1993), 567–580
Citation in format AMSBIB
\Bibitem{Sat92}
\by E.~A.~Sataev
\paper Gibbs measures for one-dimensional attractors of hyperbolic mappingss with singularities
\jour Russian Acad. Sci. Izv. Math.
\yr 1993
\vol 41
\issue 3
\pages 567--580
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\crossref{https://doi.org/10.1070/IM1993v041n03ABEH002276}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1208166}
\zmath{https://zbmath.org/?q=an:0802.58039}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1993IzMat..41..567S}
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  • https://www.mathnet.ru/eng/im/v56/i6/p1328
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:396
    Russian version PDF:84
    English version PDF:28
    References:52
    First page:2
     
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