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Symmetric S-unimodal mappings and positive Liapunov exponents. (English) Zbl 0615.28009
P. Collet and J.-P. Eckmann [Ergodic Theory Dyn. Syst. 3, 13- 46 (1983; Zbl 0532.28014)] showed the existence of absolutely continuous invariant measures for S-unimodal maps. The author gives necessary conditions that one of the assumptions in the Collet and Eckmann theorem holds.
Reviewer: M.Denker

MSC:
28D05 Measure-preserving transformations
37A99 Ergodic theory
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References:
[1] Collet, Interated Maps on the Interval as Dynamical Systems (1980)
[2] Collet, Ergod. Th. & Dynam. Sys. 3 pp 13– (1983)
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