Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The centered convex body whose marginals have the heaviest tails   Given any real numbers $1<p<q$, we study the norm ratio (i.e. the ratio
between the $q$-norm and the $p$-norm) of marginals of centered convex bodies.
We first show that some marginal of the simplex maximizes said ratio in the
class of $n$-dimensional centered convex bodies. We then pass to the dimension
independent (i.e. log-concave) case where we find a 1-parameter family of
random variables in which the maximum ratio must be attained, and find the
exact maximizer of the ratio when $p=2$ and $q$ is even. In addition, we find
another interesting maximization property of marginals of the simplex involving
functions with positive third derivatives.

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The categories of this paper are: dg-ga
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The categories of this paper are: eess
15
The categories of this paper are: nucl-ex
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The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat
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The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
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The categories of this paper are: adap-org
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The categories of this paper are: econ
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The categories of this paper are: comp-gas
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The categories of this paper are: physics
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
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The categories of this paper are: ao-sci