Relatively compact Siegel disks with non-locally connected boundaries

Mathematics – Dynamical Systems

Scientific paper

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11 pages, 1 figure

Scientific paper

We construct holomorphic maps with a Siegel disk whose boundary is not
locally connected (and is an indecomposable continuum), yet compactly contained
in the domain of definition of the map. Our examples are injective and defined
on a subset of C.

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