On completely invariant Fatou components

Chun-Lei Cao; Yue-Fei Wang

doi:10.1007/BF02390814

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Home > Journals > Ark. Mat. > Volume 41 > Issue 2 > Article

October 2003 On completely invariant Fatou components

Chun-Lei Cao, Yue-Fei Wang

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Chun-Lei Cao,¹ Yue-Fei Wang¹
¹Institute of Mathematics Academy of Mathematics and System Sciences, Chinese Academy of Sciences

Ark. Mat. 41(2): 253-265 (October 2003). DOI: 10.1007/BF02390814

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Abstract

Completely invariant components of the Fatou sets of meromorphic maps are discussed. Positive answers are given to Baker’s and Bergweiler’s problems that such components are the only Fatou components for certain classes of meromorphic maps.