Continuity of the measure of maximal entropy for unimodal maps on the interval

  • Peter Raith


LetT: [0, 1]→[0, 1] be a unimodal map with positive topological entropy. ThenT has a unique measure μ(T) of maximal entropy. It is proved that the mapT↦μ(T) is continuous with respect to the weak star-topology.

Key words

unimodal map perturbation topological entropy measure of maximal entropy Markov diagram 


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Copyright information

© Birkhäuser-Verlag 2003

Authors and Affiliations

  1. 1.Institut für MathematikUniversität WienWienAustria

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