Distortion results and invariant Cantor sets of unimodal maps

Ergodic Theory and Dynamical Systems

Volumn 14, Issue 2, 1994, Pages 331-349

  Martens, Marco ^a  

^a STONY BROOK UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001147837     PISSN: 01433857     EISSN: 14694417     Source Type: Journal    
DOI: 10.1017/S0143385700007902     Document Type: Article

References (11)

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3. Guckenheimer J. Limit sets of S-unimodal maps with zero entropy. Comm: Math. Phys. 110 (1987), 133-160.
4. Guckenheimer J. & Johnson S. Distortion of S-unimodal maps. Ann. Math. 132 (1)(1990), 71-131.
5. Hofbauer F. The structure of piecewise monotonic transformations. Ergod. Th. & Dynam. Sys. 1 (1981), 159-178.
6. Jacobson M. & Swiatek G. Metric properties of non-renormalizable S-unimodal maps. IHES Preprint 1991.
7. Keller G. Exponents, attractors and Hopf decompositions for interval maps. Ergod. Th. & Dynam. Sys. 10 (1990), 717-744. S0143385700005861 10.1017/S0143385700005861
8. Martens M. Interval dynamics. Thesis at Technical University of Delft, the Netherlands, (1990).
9. Misiurewicz M. Absolutely continuous measures for certain maps of the interval. Publ. Math. IHES 53 (1981), 17-51.
10. Martens M., de Melo W. & Strien S. van. Julia-Fatou-Sullivan theory for real one-dimensional dynamics. Acta Math. 168 (1992), 273-318.
11. Milnor J. On the concept of attractor. Commun. Math. Phys. 99 (1985), 177-195.