Maximal entropy permutations of even size
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- by William Geller and Zhenhua Zhang PDF
- Proc. Amer. Math. Soc. 126 (1998), 3709-3713 Request permission
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 $k$, we identify the maximal entropy permutations of size $2k$.References
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Additional Information
- William Geller
- Affiliation: Department of Mathematical Sciences, Indiana University-Purdue University Indianapolis, 402 N. Blackford St., Indianapolis, Indiana 46202
- Email: wgeller@math.iupui.edu
- Zhenhua Zhang
- Affiliation: Department of Mathematics, Tufts University, Medford, Massachusetts 02155
- Email: zzhang@diamond.tufts.edu
- Received by editor(s): January 9, 1997
- Communicated by: Mary Rees
- © Copyright 1998 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 126 (1998), 3709-3713
- MSC (1991): Primary 58F08, 54H20
- DOI: https://doi.org/10.1090/S0002-9939-98-04493-1
- MathSciNet review: 1458873