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Topological entropy and diffeomorphisms of surfaces with wandering domains

Kwakkel, Ferry and Markovic, Vladimir (2010) Topological entropy and diffeomorphisms of surfaces with wandering domains. Annales Academiae Scientiarum Fennicae. Mathematica, 35 . pp. 503-513. ISSN 1239-629X. https://resolver.caltech.edu/CaltechAUTHORS:20170508-135659869

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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 ∈ Diff^(1+ α)(M), with α > 0, and permutes a dense collection of domains with bounded geometry, then f has zero topological entropy.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.5186/aasfm.2010.3531DOIArticle
https://arxiv.org/abs/0910.1316arXivDiscussion Paper
Additional Information:© 2003 Suomalainen Tiedeakatemia. Received 14 September 2009. The first author was supported by Marie Curie grant MRTN-CT-2006-035651 (CODY).
Funders:
Funding AgencyGrant Number
Marie Curie FellowshipRTN-CT-2006-035651 (CODY)
Subject Keywords:Quasiconformal mappings, entropy, wandering domains.
Classification Code:2000 Mathematics Subject Classification: Primary 30C62; Secondary 28D20
Record Number:CaltechAUTHORS:20170508-135659869
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20170508-135659869
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:77263
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:09 May 2017 23:01
Last Modified:03 Oct 2019 17:55

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