Another proof of Jakobson's Theorem and related results

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43 Scopus citations


The author shows that any family C2-close to fα(x) = 1 − αx2(2 − ε ≤ α ≤ 2) satisfies Jakobson's theorem: For a positive measure set of α the transformation fα has an absolutely continuous invariant measure. He also indicates some generalizations.

Original languageEnglish (US)
Pages (from-to)93-109
Number of pages17
JournalErgodic Theory and Dynamical Systems
Issue number1
StatePublished - Mar 1988

ASJC Scopus subject areas

  • General Mathematics
  • Applied Mathematics


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