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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. doi:10.5186/aasfm.2010.3531
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Official URL: http://dx.doi.org/10.5186/aasfm.2010.3531
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 | ||||
| Dates: |
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| Volume: | Vol.35 | ||||
| Number: | No.2 | ||||
| Number of Pages: | 11 | ||||
| Page Range: | pp. 503-513 | ||||
| DOI: | 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 |
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