58 citations · 490 across the 38 of their papers we have counts for
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math.DS2010★ 2 cited
Rigidity and absence of line fields for meromorphic and Ahlfors islands maps
Volker Mayer, Lasse Rempe
In this note, we give an elementary proof of the absence of invariant line fields on the conical Julia set of an analytic function of one variable. This proof applies not only to r…
math.CV2010★ 7 cited
Exotic Baker and wandering domains for Ahlfors islands maps
Lasse Rempe, Philip J. Rippon
Let X be a Riemann surface of genus at most 1, i.e. X is the Riemann sphere or a torus. We construct a variety of examples of analytic functions g:W->X, where W is an arbitrary sub…