Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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MEASURE OF MAXIMAL ENTROPY FOR STAR MULTIMODAL MAPS

  • Attarzadeh, Fatemeh (Department of Mathematics Faculty of Mathematical Sciences Tarbiat Modares University) ;
  • Tajbakhsh, Khosro (Department of Mathematics Faculty of Mathematical Sciences Tarbiat Modares University)
  • Received : 2019.12.15
  • Accepted : 2020.06.29
  • Published : 2021.02.15
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Abstract

Let f : [0, 1] → [0, 1] be a multimodal map with positive topological entropy. The dynamics of the renormalization operator for multimodal maps have been investigated by Daniel Smania. It is proved that the measure of maximal entropy for a specific category of Cr interval maps is unique.

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Acknowledgement

We greatly appreciate the anonymous referees for their comments and suggestions.

References

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