乘数角度的定量均分

IF 0.5 3区数学 Q3 MATHEMATICS

Fundamenta Mathematicae Pub Date : 2020-12-28 DOI:10.4064/fm63-7-2021

Yan Mary He, Hongming Nie

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引用次数: 0

摘要

我们研究了$\mathbb C(z)$中双曲有理映射的排斥环乘子的角度。对于固定的$K \gg 1$，我们证明了$(-\pi，\pi]$中几乎所有长度为$2\pi/K$的区间都包含一个乘子角，其性质是乘子角的范数在$K$中有一个多项式的上界。

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Quantitative equidistribution of angles of multipliers

We study angles of multipliers of repelling cycles for hyperbolic rational maps in $\mathbb C(z)$. For a fixed $K \gg 1$, we show that almost all intervals of length $2\pi/K$ in $(-\pi,\pi]$ contain a multiplier angle with the property that the norm of the multiplier is bounded above by a polynomial in $K$.

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来源期刊

Fundamenta Mathematicae 数学-数学

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： FUNDAMENTA MATHEMATICAE concentrates on papers devoted to Set Theory, Mathematical Logic and Foundations of Mathematics, Topology and its Interactions with Algebra, Dynamical Systems.