关于Mandelbrot多项式的一些事实和猜想

Maple Transactions Pub Date : 2021-10-06 DOI:10.5206/mt.v1i1.14037

Neil J. Calkin, Eunice Y. S. Chan, Robert M Corless

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引用次数: 5

摘要

我们在这里展示了一些关于Mandelbrot迭代$z_k(c)$的事实，其中$z_0(c)=0$和$z_{n+1}(c) = z_n^2(c) + c$，它们是$c$中的多项式。有些事实有证据，而另一些“事实”只有实验证据而没有证据。我们邀请您尝试您的手来填补空白。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Some Facts and Conjectures about Mandelbrot Polynomials

We show here some facts about the Mandelbrot iterates $z_k(c)$ where $z_0(c)=0$ and $z_{n+1}(c) = z_n^2(c) + c$, which are polynomials in $c$. Some of the facts have proofs, and some other ``"``facts" only have experimental evidence but no proof. We invite you to try your hand at filling in the gaps.

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Maple Transactions

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