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Abstract
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International Journal of Mathematics and Mathematical Sciences 
Volume 21 (1998), Issue 3, Pages 453-458
doi:10.1155/S0161171298000623

Equicontinuity of iterates of circle maps

Antonios Valaristos

Department of Mathematics, University of Florida, Crainesville 32611, FL, USA

Received 6 September 1994

Abstract

Let f be a continuous map of the circle to itself. Necessary and sufficient conditions are given for the family ofiterates {fn}n=1∞ to be equicontinuous.