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HERMAN RINGS AND ARNOLD DISKS

HERMAN RINGS AND ARNOLD DISKS

For (λ,a)∈ C* × C, let fλ,a be the rational map defined by fλ,a(z) = λ z2 (az+1)/(z+a). If α∈ R/Z is a Brjuno number, we let Dα be the set of parameters (λ,a) such that fλ,a has a fixed Herman ring with rotation number α (we consider that (e2iπα,0)∈ …