Department of Mathematics,
University of California San Diego
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Math 211B - Group Actions Seminar
Yan Mary He
University of Oklahoma
A quantitative equidistribution of angles of multipliers of hyperbolic rational maps
Abstract:
In this talk, we will consider the angular component of multipliers of repelling cycles of a hyperbolic rational map in one complex variable. Oh-Winter have shown that these angles of multipliers uniformly distribute in the circle (-$\pi$, $\pi$]. Motivated by the sector problem in number theory, we show that for a fixed $K \gg 1$, almost all intervals of length $\frac{2 \pi}{K}$ in (-$\pi$, $\pi$] contains a multiplier angle with the property that the norm of the multiplier is bounded above by a polynomial in K. This is joint work with Hongming Nie.
Host: Brandon Seward
March 10, 2022
12:00 PM
AP&M 7218
Zoom ID: 967 4109 3409
Password: dynamics
Research Areas
Ergodic Theory and Dynamical Systems****************************
