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Showing 2005 · math.DSShow all
3 papers · 2 filters
math.DS2005★ 1 cited
Teichmuller theory of the punctured solenoid
R. C. Penner, Dragomir Saric
The punctured solenoid is an initial object for the category of punctured surfaces with morphisms given by finite covers branched only over the punctures. The (decorated) Teich…
math.DS2005★ 4 cited
Combinatorial rigidity for unicritical polynomials
Artur Avila, Jeremy Kahn, Mikhail Lyubich +1
We prove that any unicritical polynomial which is at most finitely renormalizable and has only repelling periodic points is combinatorially rigid. It implies t…
math.DS2005★ 3 cited
Local connectivity of Julia sets for unicritical polynomials
Jeremy Kahn, Mikhail Lyubich
We prove that the Julia set of at most finitely renormalizable unicritical polynomial with all periodic points repelling is locally connected. (For …