Cutpoints of Invariant Subcontinua of Polynomial Julia Sets
Cutpoints of Invariant Subcontinua of Polynomial Julia Sets
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DOI：
10.1007/s40598-021-00186-8
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发表时间：
2020-10
影响因子：
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通讯作者：
A. Blokh;L. Oversteegen;V. Timorin
中科院分区：
文献类型：
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作者：
A. Blokh;L. Oversteegen;V. Timorin
证明了平面分支覆盖映射的不动点结果。对于具有Julia集的复数多项式，这意味着某些不变次连续序列的周期切点也是的切点。我们推导出，在一定的不变次连续条件下，每一个落在周期排斥/抛物点上的黎曼射线都是相对于一个黎曼射线的同位素。
We prove fixed point results for branched covering mapsfof the plane. For complex polynomialsPwith Julia setthese imply that periodic cutpoints of some invariant subcontinua ofare also cutpoints of. We deduce that, under certain assumptions on invariant subcontinuaQof, every Riemann ray toQlanding at a periodic repelling/parabolic pointis isotopic to a Riemann ray torelative toQ.