Synopsis
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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Maximum entropy of cycles of even period.
Published by
Providence, American Mathematical Society, 2001
ISBN 10: 0821827073
ISBN 13: 9780821827079
Used
Softcover
Seller: Antiquariat Bookfarm, Löbnitz, Germany
Seller rating 5 out of 5 stars
Softcover. viii, 59 p. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. C-05518 9780821827079 Sprache: Englisch Gewicht in Gramm: 550. Seller Inventory # 2491772
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Maximum entropy of cycles of even period Deborah M. King, John B. Strantzen. Memoirs of the American Mathematical Society 723.
Published by
Providence R.I., American Mathematical Society, 2001
ISBN 10: 0821827073
ISBN 13: 9780821827079
Used
Softcover
Seller: Antiquariat Bookfarm, Löbnitz, Germany
Seller rating 5 out of 5 stars
Softcover. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ancien Exemplaire de bibliothèque avec signature et cachet. BON état, quelques traces d'usure. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. 58 KIN 9780821827079 Sprache: Englisch Gewicht in Gramm: 500. Seller Inventory # 2498214
Seller Image
Maximum entropy of cycles of even period Deborah M. King, John B. Strantzen. Memoirs of the American Mathematical Society 723.
Published by
Providence, American Mathematical Society, 2001
ISBN 10: 0821827073
ISBN 13: 9780821827079
Used
Softcover
Seller: Antiquariat Bookfarm, Löbnitz, Germany
Seller rating 5 out of 5 stars
Softcover. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ancien Exemplaire de bibliothèque avec signature et cachet. BON état, quelques traces d'usure. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. 58 KIN 9780821827079 Sprache: Englisch Gewicht in Gramm: 250. Seller Inventory # 2507836