Mitsuhiro Shishikura

collaborators

3 papers

math.DS2018

Wandering domains for entire functions of finite order in the Eremenko-Lyubich class

David Martí-Pete, Mitsuhiro Shishikura

Recently Bishop constructed the first example of a bounded-type transcendental entire function with a wandering domain using a new technique called quasiconfomal folding. It is eas…

math.CV2018

Conformality of quasiconformal mappings at a point, revisited

Mitsuhiro Shishikura

We present a new and simple proof of Teichmüller-Wittich-Belinskii's and Gutlyanskii-Martio's theorems on the conformality of quasiconformal mappings at a given point. Known proofs…

math.DS2016

The high type quadratic Siegel disks are Jordan domains

Mitsuhiro Shishikura, Fei Yang

Let $α$ be an irrational number of sufficiently high type and suppose $P_{α} (z) = e^{2 π i α} z + z^{2}$ has a Siegel disk $Δ_{α}$ centered at the origin. We prove that the boundary of $Δ_{α}$ is…