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Complex Analysis, Dynamics and Geometry Seminar

A quantitative equidistribution of angles of multipliers of hyperbolic rational maps
Tuesday, March 2, 2021
5:00-6:00 PM
Off Campus Location
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 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. Speaker(s): Mary He (UToronto)
Building: Off Campus Location
Location: Virtual
Event Type: Workshop / Seminar
Tags: Mathematics
Source: Happening @ Michigan from Department of Mathematics