## EVENT DETAILS AND ABSTRACT

**Dynamical Systems Seminar**
**Title:** A quantitative equidistribution of angles of multipliers of hyperbolic rational maps

**Speaker:** Yan Mary He

**Speaker Info:** U. Oklahoma

**Brief Description:** Part of Midwest Dynamics Conference

**Special Note**: **Part of Midwest Dynamics Conference**

**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>> 1, almost all intervals of length 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.

**Date:** Sunday, November 14, 2021

**Time:** 10:30

**Where:** swift 107

**Contact Person:** Aaron Brown

**Contact email:** awb@northwestern.edu

**Contact Phone:** 847-491-5567

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