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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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    Titre
    • Positive Liapunov exponents and absolute continuity for maps of the interval
    Auteur
    • 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
    Type de document
    • Postprint
    Langue
    • Anglais
    Publié dans
    • Ergodic Theory and Dynamical Systems, 1983, vol. 3, no. 1, p. 13-46. Cambridge University Press
    Autre version électronique
    Classification
    • Santé
    Identifiant OAI-PMH
    • 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