Quantitative equidistribution of angles of multipliers
Volume 257 / 2022
Fundamenta Mathematicae 257 (2022), 95-113
MSC: Primary 37F15; Secondary 37F10.
DOI: 10.4064/fm63-7-2021
Published online: 3 January 2022
Abstract
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 nearly every interval of length $2\pi /K$ in $(-\pi ,\pi ]$ contains a multiplier angle with the property that the absolute value of the multiplier is bounded above by a polynomial in $K$.
