A+ CATEGORY SCIENTIFIC UNIT

PDF files of articles are only available for institutions which have paid for the online version upon signing an Institutional User License.

Quantitative equidistribution of angles of multipliers

Volume 257 / 2022

Yan Mary He, Hongming Nie 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 $K$.

Authors

  • Yan Mary HeDepartment of Mathematics
    University of Toronto
    Toronto M5S 2E4, Canada
    e-mail
  • Hongming NieFacultad de Matemáticas
    Pontificia Universidad Católica de Chile
    Santiago, Chile
    e-mail

Search for IMPAN publications

Query phrase too short. Type at least 4 characters.

Rewrite code from the image

Reload image

Reload image