Available in electronic format
Available in print format
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826 (e) ISSN 0002-9939 (p)
     

Maximal entropy permutations of even size

Author(s): William Geller; Zhenhua Zhang
Journal: Proc. Amer. Math. Soc. 126 (1998), 3709-3713.
MSC (1991): Primary 58F08, 54H20
Retrieve article in: PDF
This article is available free of charge

Abstract | References | Similar articles | Additional information

Abstract: The entropy of a permutation is the least topological entropy of any continuous interval map having an invariant set which is shuffled according to the permutation. For each $k$, we identify the maximal entropy permutations of size $2k$.


References:

[ALM]
L. Alseda, J. Llibre and M. Misiurewicz, Combinatorial dynamics and entropy in dimension one, Advanced Series in Nonlinear Dynamics, vol. 5, World Scientific, Singapore, 1993. MR 95j:58042

[BC]
L. Block and W. A. Coppel, Dynamics in one dimension, Lecture Notes in Math., vol. 1513, Springer-Verlag, Berlin and New York, 1992. MR 93g:58091

[GT]
W. Geller and J. Tolosa, Maximal entropy odd orbit types, Trans. Amer. Math. Soc. 329 (1992), 161-171. MR 92e:58163

[GW]
W. Geller and B. Weiss, Uniqueneness of maximal entropy odd orbit types, Proc. Amer. Math. Soc. 123 (1995), 1917-1922. MR 95g:58172

[MN]
M. Misiurewicz and Z. Nitecki, Combinatorial patterns for maps of the interval, Mem. Amer. Math. Soc. 94 (1991), no. 456. MR 92h:58105


Similar Articles:

Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 58F08, 54H20

Retrieve articles in all Journals with MSC (1991): 58F08, 54H20


Additional Information:

William Geller
Affiliation: Department of Mathematical Sciences, Indiana University-Purdue University Indianapolis, 402 N. Blackford St., Indianapolis, Indiana 46202
Email: wgeller@math.iupui.edu

Zhenhua Zhang
Affiliation: Department of Mathematics, Tufts University, Medford, Massachusetts 02155
Email: zzhang@diamond.tufts.edu

DOI: 10.1090/S0002-9939-98-04493-1
PII: S 0002-9939(98)04493-1
Received by editor(s): January 9, 1997
Communicated by: Mary Rees
Copyright of article: Copyright 1998, American Mathematical Society


  AMS Website Logo Small Comments: webmaster@ams.org
© Copyright 2009, American Mathematical Society
Privacy Statement
Search the AMSPowered by Google