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math.DS2013
The Real Dynamics of Bieberbach's Example
Sandra Hayes, Axel Hundemer, Evan Milliken +1
Bieberbach constructed in 1933 domains in which were biholomorphic to but not dense. The existence of such domains was unexpected. The special domains Bie…
math.DS2013
Diffeomorphisms with stable manifolds as basin boundary
Sandra Hayes, Christian Wolf
In this paper we study the dynamics of a family of diffeomorphisms in $\bR^2$ defined by where is a unimodal -map which has the same dyna…