## Entropie et itinéraires des applications unimodales de l’intervalle.(French)Zbl 0536.54011

The partition $$\{$$ [-1,0),$$\{$$ 0$$\}$$,(0,1]$$\}$$ of $$J=[-1,1]$$ defines a symbol sequence $$I_ f(x)$$ for every $$x\in J$$ and every unimodal map f:$$J\to J$$. Following Milnor and Thurston the authors define certain sequences to be maximal itineraries and they study the topological entropy of a unimodal map f using a representation by its maximal itinerary. Other proofs of results of Jonker, Rand, Milnor and Thurston are given. [L. Jonker and D. Rand; Invent. Math. 62, 347-365 (1980; Zbl 0475.58014); ibid. 63, 1-15 (1981; Zbl 0475.58015); J. Lond. Math. Soc., II. Ser. 22, 175-181 (1980; Zbl 0437.58017)].
Reviewer: M.Denker

### MSC:

 54C70 Entropy in general topology 54H20 Topological dynamics (MSC2010)

### Keywords:

topological entropy of unimodal map

### Citations:

Zbl 0475.58014; Zbl 0475.58015; Zbl 0437.58017
Full Text:

### References:

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