On the classification of critically fixed rational maps

On the classification of critically fixed rational maps
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DOI:
10.1090/s1088-4173-2015-00275-1
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发表时间:
2013-08
期刊:
arXiv: Dynamical Systems
影响因子:
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通讯作者:
Kristin Cordwell;Selina Gilbertson;Nicholas Nuechterlein;K. Pilgrim;Samantha Pinella
Kristin Cordwell;Selina Gilbertson;Nicholas Nuechterlein;K. Pilgrim;Samantha Pinella
中科院分区:
其他
文献类型:
--
作者:
Kristin Cordwell;Selina Gilbertson;Nicholas Nuechterlein;K. Pilgrim;Samantha Pinella

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讨论了黎曼球到自身的有理映射$f$的动态、拓扑和代数分类,其每个临界点$c$也是$f$的不动点,即$f(c)=c$。
We discuss the dynamical, topological, and algebraic classification of rational maps $f$ of the Riemann sphere to itself each of whose critical points $c$ is also a fixed-point of $f$, i.e. $f(c)=c$.