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Volumn 208, Issue 3, 2000, Pages 605-622

Absolutely continuous invariant measures for piecewise real-analytic expanding maps on the plane

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EID: 0034349838     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002200050003     Document Type: Article
Times cited : (40)

References (15)
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  • 2
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    • A.C.I.M.'S for arbitrary expanding piecewise ℝ-analytic mappings of the plane
    • to appear
    • 2. Buzzi, J.: A.C.I.M.'S for arbitrary expanding piecewise ℝ-analytic mappings of the plane. Ergod. Th.& Dynam. Sys. (to appear)
    • Ergod. Th.& Dynam. Sys.
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  • 3
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    • Minimal surfaces and functions of bounded variation
    • Boston: Birkhauser
    • 3. Giusti, E.: Minimal Surfaces and Functions of Bounded Variation. Monographs in Mathematics, Vol. 80, Boston: Birkhauser, 1984
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    • Giusti, E.1
  • 5
    • 0000819591 scopus 로고
    • Ergodic properties of invariant measures for piecewise monotonic transformations
    • 5. Hofbauer, F. and Keller, G.: Ergodic properties of invariant measures for piecewise monotonic transformations. Math. Z. 180, 119-140 (1982)
    • (1982) Math. Z. , vol.180 , pp. 119-140
    • Hofbauer, F.1    Keller, G.2
  • 6
    • 0001386063 scopus 로고
    • Theorie ergodique pour des classes d'operations non completement continues
    • 6. Ionescu-Tulcea, C., and Marinescu, G.: Theorie ergodique pour des classes d'operations non completement continues. Ann. Math.(2) 52, 140-147 (1950)
    • (1950) Ann. Math. , vol.52 , Issue.2 , pp. 140-147
    • Ionescu-Tulcea, C.1    Marinescu, G.2
  • 8
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    • Ergodicité et mesures invariantes pour les transformations dilatantes par morceaux d'une région bornée du plan
    • Serie A
    • 8. Keller, G.: Ergodicité et mesures invariantes pour les transformations dilatantes par morceaux d'une région bornée du plan. C.R.Acad. Sci. Paris 289 Serie A, 625-627 (1979)
    • (1979) C.R.Acad. Sci. Paris , vol.289 , pp. 625-627
    • Keller, G.1
  • 9
    • 0001474630 scopus 로고
    • Generalized bounded variation and applications to piecewise monotonic transformations
    • 9. Keller, G.: Generalized bounded variation and applications to piecewise monotonic transformations. Z. Wahr. verw. Geb. 69, 461-478 (1985)
    • (1985) Z. Wahr. Verw. Geb. , vol.69 , pp. 461-478
    • Keller, G.1
  • 10
    • 0004291086 scopus 로고
    • Graduate Text in Math. Berlin-Heidelberg-New York: Springer
    • 10. Lang, S.: Real and Functional Analysis. Graduate Text in Math. 142, Berlin-Heidelberg-New York: Springer, 1993
    • (1993) Real and Functional Analysis , vol.142
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  • 11
    • 84966227493 scopus 로고
    • On the existence of invariant measure for piecewise monotonic transformations
    • 11. Lasota, A., Yorke, J.: On the existence of invariant measure for piecewise monotonic transformations. Trans. A.M.S. 186, 481-488 (1973)
    • (1973) Trans. A.M.S. , vol.186 , pp. 481-488
    • Lasota, A.1    Yorke, J.2
  • 12
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    • Representation of real numbers and their ergodic properties
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    • (1957) Acta. Math. Akad. Sc. Hungar. , vol.8 , pp. 477-493
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    • Bounded variation and invariant measures
    • 13. Rychlik, M.: Bounded variation and invariant measures. Studia math. 76, 69-80 (1983)
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  • 14
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    • Piecewise expanding maps on the plane with singular ergodic properties
    • to appear
    • 14. Tsujii, M.: Piecewise expanding maps on the plane with singular ergodic properties. Ergod. Th. & Dynam. Sys. (to appear)
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  • 15
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    • 15. Ziemer, W.: Weakly Differentiable Functions. Graduate Text in Math. 120, Berlin-Heidelberg-New York: Springer, 1989
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.