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Sobolev mixing constants and compactness in rational moduli space

Fletcher, Alastair et al.
arXiv (All) · Papers
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dynamical-systems
We study uniformity of Sobolev mixing estimates for rational maps and uniformly quasiregular mappings. For rational maps of fixed degree, the optimal centered Sobolev trace constant $A_f$ is a continuous proper function on Möbius moduli space. Uniform bounds on $A_f$ therefore characterize relative
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