Polynomial Siegel disks are typically Jordan domains

2012/08/09 by Gaofei Zhang, Zhang, Gaofei
Mathematics · #Advanced Algebra and Geometry #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Analysis and Transform Methods #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.1208.1881

openalex publication_date 2012/08/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that for typical rotation numbers polynomial Siegel disks are Jordan domains with boundaries containing at least one critical point.

Citations

• Curves on 2-manifolds and isotopies

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