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

King, Deborah M.; Strantzen, J. B.

 
9780821827079: Maximum Entropy of Cycles of Even Period (Memoirs of the American Mathematical Society)
Softcover
ISBN 10: 0821827073 ISBN 13: 9780821827079
Verlag: American Mathematical Society, 2001

Inhaltsangabe

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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Reseña del editor

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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Verlag
American Mathematical Society
Erscheinungsdatum
2001
Sprache
Englisch
ISBN 10 
0821827073
ISBN 13 
9780821827079
Einband
Tapa blanda
Anzahl der Seiten
59
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