doi:10.3934/dcds.2009.24.1209          Full text: (103.7K)

Yunping Jiang - Department of Mathematics, Queens College of CUNY, Flushing, NY 11367, United States (email)

Abstract: We prove that a $C^{1}$ orientation-preserving circle endomorphism which is Hölder conjugate to a $C^{1}$ circle expanding endomorphism is itself expanding.

Keywords: expanding endomorphism, Hölder conjugacy.
Mathematics Subject Classification: Primary: 37D2015; Secondary: 37E10.

Received:  August   2008
Revised:   November  2008
Published: May  2009

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