EVENT DETAILS AND ABSTRACT

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.