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比利时vs摩洛哥足彩 ,
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

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