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Topological entropy and diffeomorphisms of surfaces with wandering domains

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Kwakkel, Ferry and Markovic, Vladimir. (2010) Topological entropy and diffeomorphisms of surfaces with wandering domains. Annales Academiae Scientiarum Fennicae. Mathematica, Vol.35 (No.2). pp. 503-513. ISSN 1239-629X

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Abstract

Let M be a closed surface and f a diffeomorphism of M. A diffeomorphism is said to permute a dense collection of domains, if the union of the domains are dense and the iterates of any one domain are mutually disjoint. In this note, we show that if f is an element of Diff(1+alpha)(M), with alpha > 0, and permutes a dense collection of domains with bounded geometry, then f has zero topological entropy.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science > Mathematics
Journal or Publication Title: Annales Academiae Scientiarum Fennicae. Mathematica
Publisher: Suomalainen Tiedeakatemia
ISSN: 1239-629X
Official Date: 2010
Volume: Vol.35
Number: No.2
Number of Pages: 11
Page Range: pp. 503-513
Identification Number: 10.5186/aasfm.2010.3531
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access
Funder: Marie Curie
Grant number: MRTN-CT-2006-035651
URI: http://wrap.warwick.ac.uk/id/eprint/5112

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