Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Beyond the entropy power inequality, via rearrangements   A lower bound on the R\'enyi differential entropy of a sum of independent
random vectors is demonstrated in terms of rearrangements. For the special case
of Boltzmann-Shannon entropy, this lower bound is better than that given by the
entropy power inequality. Several applications are discussed, including a new
proof of the classical entropy power inequality and an entropy inequality
involving symmetrization of L\'evy processes.

11
The categories of this paper are: hep-lat
18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph
21
The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th