Geodesic
A Note on Permutations and Topological Entropy of Continuous Maps of the Interval
Canadian mathematical bulletin, Tome 29 (1986) no. 1, pp. 91-95

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Suppose f is a continuous endomorphism of an interval which has a periodic orbit, p0 < P1 < ... < pn , that defines a permutation a by f(pi) = pσ(i). If σ is irreducible the topological entropy of f is bounded below by the logarithm of the spectral radius of an n x n matrix which is induced by σ.
DOI : 10.4153/CMB-1986-017-6
Mots-clés : Primary, 54H20, Secondary, 58F20 
Byers, Bill. A Note on Permutations and Topological Entropy of Continuous Maps of the Interval. Canadian mathematical bulletin, Tome 29 (1986) no. 1, pp. 91-95. doi: 10.4153/CMB-1986-017-6
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     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1986-017-6/}
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