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Israel Journal of Mathematics
Volumn 116, Issue , 2000, Pages 223-248
Absolutely continuous invariant measures for multidimensional expanding maps
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Indexed keywords

EID: 0034366519     PISSN: 00212172     EISSN: 15658511     Source Type: Journal    
DOI: 10.1007/BF02773219     Document Type: Article
Times cited : (146)
References (14)
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    • Inadequacy of the bounded variation technique in the ergodic theory of higher-dimensional transformations
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  • 6
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    • Acims for arbitrary expanding piecewise real-analytic mappings of the plane
    • J. Buzzi, Acims for arbitrary expanding piecewise real-analytic mappings of the plane, to appear in Ergodic Theory and Dynamical Systems.
    • Ergodic Theory and Dynamical Systems
    • Buzzi, J.1
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    • Théorie ergodique pour des classes d'opérations non complètement continues
    • C. T. Ionescu-Tulcea and G. Marinescu, Théorie ergodique pour des classes d'opérations non complètement continues, Annals of Mathematics 52 (1950), 140-147.
    • (1950) Annals of Mathematics , vol.52 , pp. 140-147
    • Ionescu-Tulcea, C.T.1    Marinescu, G.2
  • 8
    • 0001474630 scopus 로고
    • Generalized bounded variation and applications to piecewise monotonic transformations
    • G. Keller Generalized bounded variation and applications to piecewise monotonic transformations, Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 69 (1985), 461-478.
    • (1985) Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete , vol.69 , pp. 461-478
    • Keller, G.1
  • 9
    • 84966227493 scopus 로고
    • On the existence of invariant measures for piecewise monotonic transformations
    • A. Lasota and J. A. Yorke, On the existence of invariant measures for piecewise monotonic transformations, Transactions of the American Mathematical Society 186 (1973), 481-488.
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    • Lasota, A.1    Yorke, J.A.2
  • 10
  • 11
    • 21844485876 scopus 로고
    • Decay of correlations for piecewise expanding maps
    • C. Liverani, Decay of correlations for piecewise expanding maps, Journal of Statistical Physics 78 (1995), 1111-1129.
    • (1995) Journal of Statistical Physics , vol.78 , pp. 1111-1129
    • Liverani, C.1
  • 12
    • 0032357405 scopus 로고    scopus 로고
    • Conformal measure and decay of correlations for covering weighted systems
    • C. Liverani, B. Saussol and S. Vaienti, Conformal measure and decay of correlations for covering weighted systems, Ergodic Theory and Dynamical Systems 18 (1998), 1399-1420.
    • (1998) Ergodic Theory and Dynamical Systems , vol.18 , pp. 1399-1420
    • Liverani, C.1    Saussol, B.2    Vaienti, S.3
  • 13
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    • Decay of correlations for certain multi-dimensional maps
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    • (1996) Nonlinearity , vol.9 , pp. 1439-1461
    • Yuri, M.1

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