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On the accumulation sets of exponential rays

Published online by Cambridge University Press:  20 June 2017

JIANXUN FU  and
GAOFEI ZHANG
JIANXUN FU
Affiliation:
Department of Mathematics, Nanjing University, Nanjing, 210093, PR China email [email protected]
GAOFEI ZHANG
Affiliation:
Department of Mathematics, Qufu Normal University, Qufu, 273165, PR China email [email protected]
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Abstract

We show that there exist non-landing exponential rays with bounded accumulation sets. By introducing folding models of certain rays, we prove that each of the corresponding accumulation sets is an indecomposable continuum containing part of the ray, an indecomposable continuum disjoint from the ray or a Jordan arc.

Type
Original Article
Information
Ergodic Theory and Dynamical Systems , Volume 39 , Issue 2 , February 2019 , pp. 370 - 391
Copyright
© Cambridge University Press, 2017 

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