Advanced Search
Article Contents
Article Contents

New examples of S-unimodal maps with a sigma-finite absolutely continuous invariant measure

Abstract Related Papers Cited by
  • We combine the technique of inducing with a method of Johnson boxes and construct new examples of S-unimodal maps $\varphi$ which do not have a finite absolutely continuous invariant measure, but do have a $\sigma$-finite one which is infinite on every non-trivial interval.
        We prove the following dichotomy. Every absolutely continuous invariant measure is either $\sigma$-finite, or else it is infinite on every set of positive Lebesgue measure.
    Mathematics Subject Classification: Primary: 37E05; Secondary: 28D05, 37C40.


    \begin{equation} \\ \end{equation}
  • 加载中

Article Metrics

HTML views() PDF downloads(81) Cited by(0)

Access History

Other Articles By Authors



    DownLoad:  Full-Size Img  PowerPoint