Proceedings of the American Mathematical Society

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ISSN 1088-6826(e) ISSN 0002-9939(p)

Maximal entropy permutations of even size

Author(s): William Geller; Zhenhua Zhang
Journal: Proc. Amer. Math. Soc. 126 (1998), 3709-3713.
MSC (1991): Primary 58F08, 54H20
MathSciNet review: 1458873
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Abstract: The entropy of a permutation is the least topological entropy of any continuous interval map having an invariant set which is shuffled according to the permutation. For each , we identify the maximal entropy permutations of size .

References:

[ALM]: L. Alseda, J. Llibre and M. Misiurewicz, Combinatorial dynamics and entropy in dimension one, Advanced Series in Nonlinear Dynamics, vol. 5, World Scientific, Singapore, 1993. MR 95j:58042
[BC]: L. Block and W. A. Coppel, Dynamics in one dimension, Lecture Notes in Math., vol. 1513, Springer-Verlag, Berlin and New York, 1992. MR 93g:58091
[GT]: W. Geller and J. Tolosa, Maximal entropy odd orbit types, Trans. Amer. Math. Soc. 329 (1992), 161-171. MR 92e:58163
[GW]: W. Geller and B. Weiss, Uniqueneness of maximal entropy odd orbit types, Proc. Amer. Math. Soc. 123 (1995), 1917-1922. MR 95g:58172
[MN]: M. Misiurewicz and Z. Nitecki, Combinatorial patterns for maps of the interval, Mem. Amer. Math. Soc. 94 (1991), no. 456. MR 92h:58105

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