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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)
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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
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 1992, Volume 56, Issue 6, Pages 1328–1344
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”, Izv. RAN. Ser. Mat., 56:6 (1992), 1328–1344; Russian Acad. Sci. Izv. Math., 41:3 (1993), 567–580
Citation in format AMSBIB
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\by E.~A.~Sataev
\paper Gibbs measures for one-dimensional attractors of hyperbolic mappingss with singularities
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\yr 1992
\vol 56
\issue 6
\pages 1328--1344
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\transl
\jour Russian Acad. Sci. Izv. Math.
\yr 1993
\vol 41
\issue 3
\pages 567--580
\crossref{https://doi.org/10.1070/IM1993v041n03ABEH002276}
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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:379
    Russian version PDF:79
    English version PDF:22
    References:44
    First page:2
     
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