Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Unlinking Theorem for Symmetric Quasi-convex Polynomials   Let $\mu_n$ be the standard Gaussian measure on $\mathbb{R}^n$ and $X$ be a
random vector on $\mathbb{R}^n$ with the law $\mu_n$. U-conjecture states that
if $f$ and $g$ are two polynomials on $\mathbb{R}^n$ such that $f(X)$ and
$g(X)$ are independent, then there exist an orthogonal transformation $L$ on
$\mathbb{R}^n$ and an integer $k$ such that $f\circ L$ is a function of
$(x_1,\cdots,x_k)$ and $g\circ L$ is a function of $(x_{k+1},\cdots,x_n)$. In
this case, $f$ and $g$ are said to be unlinked. In this note, we prove that two
symmetric, quasi-convex polynomials $f$ and $g$ are unlinked if $f(X)$ and
$g(X)$ are independent.

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The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
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The categories of this paper are: funct-an
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The categories of this paper are: bayes-an
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The categories of this paper are: econ
7
The categories of this paper are: hep-th
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The categories of this paper are: nucl-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: math-ph
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The categories of this paper are: hep-lat
1
The categories of this paper are: cs
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-ex
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The categories of this paper are: patt-sol
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The categories of this paper are: atom-ph
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The categories of this paper are: q-fin