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math.CV2012
Dynamics of mappings with constant dilatation
Alastair Fletcher, Robert Fryer
Let h:C \to C be an R-linear map. In this article, we explore the dynamics of the quasiregular mapping H(z)=h(z)^2. Via the Böttcher type coordinate constructed in "On Böttcher coo…
math.CV2012
On Böttcher coordinates and quasiregular maps
Alastair Fletcher, Robert Fryer
It is well-known that a polynomial f(z)=a_d z^d(1+o(1)) can be conjugated by a holomorphic map phi to w \mapsto w^d in a neighbourhood of infinity. This map phi is called a Böttche…