By Tanya Firsova and Igors Gorbovickis

A parameter $c_0\in\mathbb C$ in the family of quadratic polynomials $f_c(z)=z^2+c$ is a critical point of a period $n$ multiplier, if the map $f_{c_0}$ has a periodic orbit of period $n$, whose multiplier, viewed as a locally analytic function of $c$, has a vanishing derivative at $c=c_0$. We prove that... Show more

July 23, 2019

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Equidistribution of critical points of the multipliers in the quadratic family

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