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arXiv 1701.01902math.DS
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复指数函数的后临界极小Newton映射的一个刻划

A characterization of postcritically minimal Newton maps of complex exponential functions

Khudoyor Mamayusupov

摘要:

我们得到了一个唯一的,规范的一对一的映射空间的标记后临界有限牛顿映射的多项式和空间的后临界最小牛顿映射的整个地图,采取的形式$p(z) \text{exp}(q(z))$的$p(z)$,$q(z)$多项式和$\text{exp}(z)$,复杂的指数函数。这种双射保留了朱利亚集的动力学和嵌入,并由Haïssinsky开发的手术工具诱导。

英文摘要:

We obtain a unique, canonical one-to-one correspondence between the space of marked postcritically finite Newton maps of polynomials and the space of postcritically minimal Newton maps of entire maps that take the form $p(z) \text{exp}(q(z))$ for $p(z)$, $q(z)$ polynomials and $\text{exp}(z)$, the complex exponential function. This bijection preserves the dynamics and embedding of Julia sets and is induced by a surgery tool developed by Haïssinsky.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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