A note on hyperbolic leaves and wild laminations of rational functions

Details A note on hyperbolic leaves and wild laminations of rational functions A note on hyperbolic leaves and wild laminations of rational functions

2008-10-30

arxiv.org/abs/0810.5571v1

J. Difference Equ. Appl., 16 (2010), no. 5-6, 655--665

Mathematics

Dynamical Systems

11 pages

Scientific paper

10.1080/10236190903257867

We study the affine orbifold laminations that were constructed by Lyubich and Minsky. An important question left open in their construction is whether these laminations are always locally compact. We show that this is not the case. The counterexample we construct has the property that the regular leaf space contains (many) hyperbolic leaves that intersect the Julia set; whether this can happen is itself a question raised by Lyubich and Minsky.

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