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Non-uniqueness of even order permutations with maximal entropy

Published online by Cambridge University Press:  01 June 2000

DEBORAH M. KING
DEBORAH M. KING
Affiliation:
Division of Mathematical and Statistical Science, La Trobe University, Bundoora, Victoria, 3083, Australia
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Abstract

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In this paper we prove that permutations of even length with maximal entropy are not unique. There are in fact two distinct permutations, $\theta_n$ and $\widetilde{\theta_n}$, with maximal entropy, both of which are self-dual and $\widetilde{\theta_n}$ is the reverse of $\theta_n$.

Information

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 20 , Issue 3 , June 2000, pp. 801 - 807
Copyright
2000 Cambridge University Press