Published 2010
| Submitted
Journal Article
Open
Topological entropy and diffeomorphisms of surfaces with wandering domains
- Creators
- Kwakkel, Ferry
- Markovic, Vladimir
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 ∈ Diff^(1+ α)(M), with α > 0, and permutes a dense collection of domains with bounded geometry, then f has zero topological entropy.
Additional Information
© 2003 Suomalainen Tiedeakatemia. Received 14 September 2009. The first author was supported by Marie Curie grant MRTN-CT-2006-035651 (CODY).Attached Files
Submitted - 0910.1316.pdf
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0910.1316.pdf
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Additional details
- Eprint ID
- 77263
- Resolver ID
- CaltechAUTHORS:20170508-135659869
- RTN-CT-2006-035651 (CODY)
- Marie Curie Fellowship
- Created
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2017-05-09Created from EPrint's datestamp field
- Updated
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2021-11-15Created from EPrint's last_modified field