On a question of Katok in one-dimensional case

Yunping Jiang

doi:10.3934/dcds.2009.24.1209

Article Contents

2009, Volume 24, Issue 4: 1209-1213. Doi: 10.3934/dcds.2009.24.1209

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On a question of Katok in one-dimensional case

Yunping Jiang^1,

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

Received: July 31, 2008

Revised: October 31, 2008

Published: October 2009

Abstract Related Papers Cited by

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.

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