Fei Yang

collaborators

2 papers

math.DS2024

Parabolic and near-parabolic renormalizations for local degree three

Fei Yang

The invariant class under parabolic and near-parabolic renormalizations constructed by Inou and Shishikura has been proved to be extremely useful in recent years. It leads to sever…

math.DS2024

The high type quadratic Siegel disks are Jordan domains

Mitsuhiro Shishikura, Fei Yang

Let $I^\pm$ be an irrational number of sufficiently high type and suppose $P_{I^} \pm (z) = e^{2 I ¨ i I^\pm} z + z^{2}$ has a Siegel disk $I^_{I^} \pm$ centered at the origin. We prove that the boundary of $Î…