Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: R\'enyi entropy and variance comparison for symmetric log-concave random
  variables   We show that for any $\alpha>0$ the R\'enyi entropy of order $\alpha$ is
minimized, among all symmetric log-concave random variables with fixed
variance, either for a uniform distribution or for a two sided exponential
distribution. The first case occurs for $\alpha \in (0,\alpha^*]$ and the
second case for $\alpha \in [\alpha^*,\infty)$, where $\alpha^*$ satisfies the
equation $\frac{1}{\alpha^*-1}\log \alpha^*= \frac12 \log 6$, that is $\alpha^*
\approx 1.241$. Using those results, we prove that one-sided exponential
distribution minimizes R\'enyi entropy of order $\alpha \geq 2$ among all
log-concave random variables with fixed variance.

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The categories of this paper are: hep-ph
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The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
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The categories of this paper are: nucl-th
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
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The categories of this paper are: eess
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
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The categories of this paper are: acc-phys