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math.DS2019
Siegel disks of the tangent family
Weiwei Cui, Hongming Nie
We study Siegel disks in the dynamics of functions from the tangent family. In particular, we prove that a forward invariant Siegel disk is unbounded if and only if it contains at…
math.DS2019
Hausdorff dimension of escaping sets of Nevanlinna functions
Weiwei Cui
We determine the exact values of Hausdorff dimensions of escaping sets of meromorphic functions with polynomial Schwarzian derivatives. This will follow from the relation between t…