A Note on Hyperbolic Leaves and Wild Laminations of Rational Functions

نویسندگان

  • JEREMY KAHN
  • MIKHAIL LYUBICH
  • LASSE REMPE
چکیده

We study the affine orbifold laminations that were constructed in [LM]. An important question left open in [LM] 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 in [LM].

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تاریخ انتشار 2008