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Volumn 222, Issue 3, 2001, Pages 495-501

No or infinitely many A.C.I.P. for piecewise expanding Cr maps in higher dimensions

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EID: 0035648072     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002200100509     Document Type: Article
Times cited : (32)

References (9)
  • 1
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    • a.c.i.m.'s as equilibrium states for piecewise invertible dynamical systems
    • (Seattle, 1999), Providence, RI: Am. Math. Soc., to appear
    • 1. Buzzi, J.: a.c.i.m.'s as equilibrium states for piecewise invertible dynamical systems. In: Proc. Sympos. Pure Math. (Seattle, 1999), Providence, RI: Am. Math. Soc., to appear
    • Proc. Sympos. Pure Math.
    • Buzzi, J.1
  • 2
    • 0034399121 scopus 로고    scopus 로고
    • a.c.i.m. for arbitrary piecewise expanding and real-analytic maps on the plane
    • 2. Buzzi, J.: a.c.i.m. for arbitrary piecewise expanding and real-analytic maps on the plane. Ergod. Th. & Dynam. Syst. 20, 697-708 (2000)
    • (2000) Ergod. Th. & Dynam. Syst. , vol.20 , pp. 697-708
    • Buzzi, J.1
  • 3
    • 0007290775 scopus 로고
    • On the number of invariant measures for higher-dimensional chaotic transformations
    • 3. Göra, P., Boyarsky, A., Proppe H.: On the number of invariant measures for higher-dimensional chaotic transformations. J. Statist. Phys. 62, 709-728 (1991)
    • (1991) J. Statist. Phys. , vol.62 , pp. 709-728
    • Göra, P.1    Boyarsky, A.2    Proppe, H.3
  • 4
    • 84966227493 scopus 로고
    • On the existence of invariant measures for piecewise monotonic transformations
    • 4. Yorke, J. and Lasota, A.: On the existence of invariant measures for piecewise monotonic transformations. Trans. Am. Math. Soc. 186, 481-488 (1973)
    • (1973) Trans. Am. Math. Soc. , vol.186 , pp. 481-488
    • Yorke, J.1    Lasota, A.2
  • 5
    • 0001836914 scopus 로고
    • Bounded variation and invariant measures
    • 5. Rychlik, M.: Bounded variation and invariant measures. Studia Math. 76, 69-80 (1983)
    • (1983) Studia Math. , vol.76 , pp. 69-80
    • Rychlik, M.1
  • 6
    • 0034366519 scopus 로고    scopus 로고
    • Absolutely continuous invariant measures for multidimensional expandings maps
    • 6. Saussol, B.: Absolutely continuous invariant measures for multidimensional expandings maps. Israel J. Math. 116, 223-248 (2000)
    • (2000) Israel J. Math. , vol.116 , pp. 223-248
    • Saussol, B.1
  • 7
    • 0007294407 scopus 로고    scopus 로고
    • Ergodic theory and thermodynamic of one-dimensional Markov expanding endomorphisms
    • Paris: Hermann
    • 7. Schmitt, B.: Ergodic theory and thermodynamic of one-dimensional Markov expanding endomorphisms. In: Dynamical systems (Temuco, 1991/1992), Travaux en Cours, 52. Paris: Hermann, 1996
    • (1996) Dynamical Systems (Temuco, 1991/1992), Travaux en Cours , vol.52
    • Schmitt, B.1
  • 8
    • 0034349838 scopus 로고    scopus 로고
    • Absolutely continuous invariant measures for piecewise real-analytic expanding maps on the plane
    • 8. Tsujii, M.: Absolutely continuous invariant measures for piecewise real-analytic expanding maps on the plane. Comm. Math. Phys. 208, 605-622 (2000)
    • (2000) Comm. Math. Phys. , vol.208 , pp. 605-622
    • Tsujii, M.1
  • 9
    • 0034367358 scopus 로고    scopus 로고
    • Piecewise expanding maps on the plane with singular ergodic properties
    • 9. Tsujii, M.: Piecewise expanding maps on the plane with singular ergodic properties. Ergod. Th. & Dynam. Syst. 20, 1851-1857 (2000)
    • (2000) Ergod. Th. & Dynam. Syst. , vol.20 , pp. 1851-1857
    • Tsujii, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.