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math.DS2019
Smooth Siegel disks everywhere
Artur Avila, Xavier Buff, Arnaud Chéritat
We prove the existence of Siegel disks with smooth boundaries in most families of holomorphic maps fixing the origin. The method can also yield other types of regularity conditions…
math.DS2019
Tips of Tongues in the Double Standard Family
Kuntal Banerjee, Xavier Buff, Jordi Canela +1
We answer a question raised by Misiurewicz and Rodrigues concerning the family of degree 2 circle maps defined by \[F_λ(x) := 2…