Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Equidistribution of critical points of the multipliers in the quadratic
  family   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 all critical points of period $n$ multipliers equidistribute on the
boundary of the Mandelbrot set, as $n\to\infty$.

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The categories of this paper are: nucl-ex
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
3
The categories of this paper are: physics
4
The categories of this paper are: cond-mat
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The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
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The categories of this paper are: patt-sol
14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg