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Inventiones Mathematicae
Volumn 172, Issue 3, 2008, Pages 509-533
Large derivatives, backward contraction and invariant densities for interval maps
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EID: 42449153283     PISSN: 00209910     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00222-007-0108-4     Document Type: Article
Times cited : (51)
References (13)
  • 1
    • 0032395453 scopus 로고    scopus 로고
    • The existence of absolutely continuous invariant measures is not a topological invariant for unimodal maps
    • 3
    • Bruin, H.: The existence of absolutely continuous invariant measures is not a topological invariant for unimodal maps. Ergodic Theory Dyn. Syst. 18(3), 555-565 (1998)
    • (1998) Ergodic Theory Dyn. Syst. , vol.18 , pp. 555-565
    • Bruin, H.1
  • 4
    • 0242370750 scopus 로고    scopus 로고
    • Invariant measure exists without a growth condition
    • Bruin, H., Shen, W., van Strien, S.: Invariant measure exists without a growth condition. Commun. Math. Phys. 241, 287-306 (2003)
    • (2003) Commun. Math. Phys. , vol.241 , pp. 287-306
    • Bruin, H.1    Shen, W.2    Van Strien, S.3
  • 5
    • 27844517338 scopus 로고    scopus 로고
    • Existence of invariant measures for multimodal interval maps
    • Inst. Phys. Bristol
    • Bruin, H., van Strien, S.: Existence of invariant measures for multimodal interval maps. In: Global Analysis of Dynamical Systems, pp. 433-447. Inst. Phys., Bristol (2001)
    • (2001) Global Analysis of Dynamical Systems , pp. 433-447
    • Bruin, H.1    Van Strien, S.2
  • 6
    • 0002525106 scopus 로고
    • Positive Liapunov exponents and absolutely continuity for maps of the interval
    • 1
    • Collet, P., Eckmann, J.-P.: Positive Liapunov exponents and absolutely continuity for maps of the interval. Ergodic Theory Dyn. Syst. 3(1), 13-46 (1983)
    • (1983) Ergodic Theory Dyn. Syst. , vol.3 , pp. 13-46
    • Collet, P.1    Eckmann, J.-P.2
  • 7
    • 42449117847 scopus 로고    scopus 로고
    • Manuscript in preparation
    • Graczyk, J., Sands, D.: Manuscript in preparation
    • Graczyk, J.1    Sands, D.2
  • 8
    • 51249183577 scopus 로고
    • Absolutely continuous measures for certain maps of an interval
    • Misiurewicz, M.: Absolutely continuous measures for certain maps of an interval. Publ. Math., Inst. Hautes ́Etud. Sci. 53, 17-51 (1981)
    • (1981) Publ. Math., Inst. Hautes ́etud. Sci. , vol.53 , pp. 17-51
    • Misiurewicz, M.1
  • 10
    • 0040250957 scopus 로고
    • 2 multi-modal Collet-Eckmann maps without Schwarzian derivative assumptions
    • 2
    • 2 multi-modal Collet-Eckmann maps without Schwarzian derivative assumptions. Trans. Am. Math. Soc. 321(2), 793-810 (1990)
    • (1990) Trans. Am. Math. Soc. , vol.321 , pp. 793-810
    • Nowicki, T.1    Van Strien, S.2
  • 11
    • 0002046772 scopus 로고
    • Invariant measures exist under a summability condition for unimodal maps
    • Nowicki, T., van Strien, S.: Invariant measures exist under a summability condition for unimodal maps. Invent. Math. 105, 123-136 (1991)
    • (1991) Invent. Math. , vol.105 , pp. 123-136
    • Nowicki, T.1    Van Strien, S.2
  • 12
    • 33947196339 scopus 로고    scopus 로고
    • A connecting lemma for rational maps satisfying a no growth condition
    • 2
    • Rivera-Letelier, J.: A connecting lemma for rational maps satisfying a no growth condition. Ergodic Theory Dyn. Syst. 27(2), 595-636 (2007)
    • (2007) Ergodic Theory Dyn. Syst. , vol.27 , pp. 595-636
    • Rivera-Letelier, J.1
  • 13
    • 10044223044 scopus 로고    scopus 로고
    • Real Bounds, ergodicity and negative Schwarzian for multimodal maps
    • 4
    • van Strien, S., Vargas, E.: Real Bounds, ergodicity and negative Schwarzian for multimodal maps. J. Am. Math. Soc. 17(4), 749-782 (2004)
    • (2004) J. Am. Math. Soc. , vol.17 , pp. 749-782
    • Van Strien, S.1    Vargas, E.2

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.