On a question of Katok in one-dimensional case

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November 2009, 24(4): 1209-1213. doi: 10.3934/dcds.2009.24.1209

On a question of Katok in one-dimensional case

1.	Department of Mathematics, Queens College of CUNY, Flushing, NY 11367

Received August 2008 Revised November 2008 Published May 2009

Abstract
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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: Hölder conjugacy., expanding endomorphism.

Mathematics Subject Classification: Primary: 37D2015; Secondary: 37E1.

Citation: Yunping Jiang. On a question of Katok in one-dimensional case. Discrete & Continuous Dynamical Systems - A, 2009, 24 (4) : 1209-1213. doi: 10.3934/dcds.2009.24.1209

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