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Positive Liapunov exponents and absolute continuity for maps of the interval

Collet, P. ; Eckmann, J.-P

In: Ergodic Theory and Dynamical Systems, 1983, vol. 3, no. 1, p. 13-46

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    Title
    • Positive Liapunov exponents and absolute continuity for maps of the interval
    Author
    • Collet, P.. Centre de Physique Théorique, Ecole Polytechnique, 91128 Palaiseau, France
    • Eckmann, J.-P. Département de Physique Théorique, Universite de Genève, 1211 Genève 4, Switzerland
    Document Type
    • Postprint
    Language
    • English
    Published in
    • Ergodic Theory and Dynamical Systems, 1983, vol. 3, no. 1, p. 13-46. Cambridge University Press
    Other Version
    Classification
    • Health
    OAI-PMH Identifier
    • oai:doc.rero.ch:292530
    Summary
    We give a sufficient condition for a unimodal map of the interval to have an invariant measure absolutely continuous with respect to the Lebesgue measure. Apart from some weak regularity assumptions, the condition requires positivity of the forward and backward Liapunov exponent of the critical point