Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Zeros of random polynomials and its higher derivatives   In this article we study the limiting empirical measure of zeros of higher
derivatives for sequences of random polynomials. We show that these measures
agree with the limiting empirical measure of zeros of corresponding random
polynomials. Various models of random polynomials are considered by introducing
randomness through multiplying a factor with a random zero or removing a zero
at random for a given sequence of deterministic polynomials. We also obtain
similar results for random polynomials whose zeros are given by i.i.d. random
variables. As an application, we show that these phenomenon appear for random
polynomials whose zeros are given by the 2D Coulomb gas density.

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The categories of this paper are: econ
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The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
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The categories of this paper are: hep-th
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The categories of this paper are: acc-phys
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The categories of this paper are: mtrl-th
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The categories of this paper are: comp-gas
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The categories of this paper are: ao-sci
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The categories of this paper are: adap-org
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The categories of this paper are: eess
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The categories of this paper are: alg-geom
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The categories of this paper are: q-bio
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The categories of this paper are: cmp-lg
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The categories of this paper are: atom-ph
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The categories of this paper are: q-fin
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The categories of this paper are: supr-con