Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bernoulli sums and R\'enyi entropy inequalities   We investigate the R\'enyi entropy of independent sums of integer valued
random variables through Fourier theoretic means, and give sharp comparisons
between the variance and the R\'enyi entropy, for Poisson-Bernoulli variables.
As applications we prove that a discrete ``min-entropy power'' is super
additive on independent variables up to a universal constant, and give new
bounds on an entropic generalization of the Littlewood-Offord problem that are
sharp in the ``Poisson regime''.

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The categories of this paper are: dg-ga
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The categories of this paper are: cmp-lg
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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: comp-gas
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The categories of this paper are: q-alg
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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: astro-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: q-bio
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The categories of this paper are: supr-con
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The categories of this paper are: physics
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The categories of this paper are: cond-mat
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The categories of this paper are: bayes-an
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The categories of this paper are: alg-geom