Maximum Entropy of Cycles of Even Period (Memoirs of the American Mathematical Society)

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9780821827079: Maximum Entropy of Cycles of Even Period (Memoirs of the American Mathematical Society)

A finite fully invariant set of a continuous map of the interval induces a permutation of that invariant set. If the permutation is a cycle, it is called its orbit type. It is known that Misiurewicz-Nitecki orbit types of period $n$ congruent to $1 \pmod 4$ and their generalizations to orbit types of period $n$ congruent to $3 \pmod 4$ have maximum entropy amongst all orbit types of odd period $n$ and indeed amongst all $n$-permutations for $n$ odd. We construct a family of orbit types of period $n$ congruent to $0\pmod 4$ which attain maximum entropy amongst $n$-cycles.

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King, Deborah M./ Strantzen, J. B.
Published by Amer Mathematical Society (2001)
ISBN 10: 0821827073 ISBN 13: 9780821827079
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Book Description Amer Mathematical Society, 2001. Paperback. Book Condition: Brand New. 59 pages. 10.00x7.25x0.50 inches. In Stock. Bookseller Inventory # zk0821827073

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