# On holomorphic critical quasi circle maps

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### Cites background from "On holomorphic critical quasi circl..."

...The formulation of Lemma 4.17 is strongly inspired by [18] where a similar area estimate was established by using Petersen’s puzzle construction for the Douady-Ghys Blaschke model....

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...I would like to express my deep thanks to Prof. Carsten Lunde Petersen who spent many hours discussing with me on an early version of the manuscript during his visit of Nanjing in March, 2012....

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...This is the essential challenge in generalizing Petersen-Zakeri’s theorem to polynomial maps of higher degrees....

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...In 2002 Petersen and Zakeri proved that for typical rotation numbers, a quadratic Siegel disk is a Jordan domain with a critical point on its boundary....

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...These critical points may interact with each other if one wants to adapt Petersen’s puzzle construction to the Blaschke model B....

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##### References

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