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On cyclicity one elliptic islands of the Standard family
elliptic islands the Standard family Dynamical Systems
2011/9/14
Abstract: We study abundance of a special class of elliptic islands (called cyclicity one elliptic islands) for the Standard family of area preserving diffeomorphisms for large parameter values, i.e. ...
Rigidity and absence of line fields for meromorphic and Ahlfors islands maps
Holomorphic dynamics Rigidity Meromorphic functions
2011/2/25
In this note, we give an elementary proof of the absence of invariant line fields on the conical Julia set of an analytic function of one variable. This proof applies not only to rational as well as t...