Maximum Entropy of Cycles of Even Period - Brossura

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

 
9780821827079: Maximum Entropy of Cycles of Even Period
Brossura
ISBN 10: 0821827073 ISBN 13: 9780821827079
Casa editrice: Amer Mathematical Society, 2001

Sinossi

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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Editore
Amer Mathematical Society
Data di pubblicazione
2001
Lingua
Inglese
ISBN 10 
0821827073
ISBN 13 
9780821827079
Rilegatura
Copertina flessibile
Numero di pagine
59
Contatto del produttore
non disponibile
Persona responsabile
non disponibile