Semi-continuity of Siegel disks under parabolic implosion

Details Semi-continuity of Siegel disks under parabolic implosion Semi-continuity of Siegel disks under parabolic implosion

2005-07-13

arxiv.org/abs/math/0507250v1

Mathematics

Dynamical Systems

9 pages, 5 figures

Scientific paper

We transfer the lower semi-continuity of Siegel disks with fixed Brjuno type
rotation numbers to geometric limits. Here, we restrict to Lavaurs maps
associated to quadratic polynomials with a parabolic fixed point.

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