Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Higher Order, Polar and Sz.-Nagy's Generalized Derivatives of Random
  Polynomials with Independent and Identically Distributed Zeros on the Unit
  Circle   For random polynomials with i.i.d. (independent and identically distribu-ted)
zeros following any common probability distribution $\mu$ with support
contained in the unit circle, the empirical measures of the zeros of their
first and higher order derivatives will be proved to converge weakly to $\mu$
a.s. (almost sure(ly)). This, in particular, completes a recent work of
Subramanian on the first order derivative case where $\mu$ was assumed to be
non-uniform. The same a.s. weak convergence will also be shown for polar and
Sz.-Nagy's generalized derivatives, on some mild conditions.

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The categories of this paper are: cs
11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
21
The categories of this paper are: adap-org
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The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
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The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
36
The categories of this paper are: cmp-lg
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The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom