Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Symmetric polynomials in information theory: entropy and subentropy   Entropy and other fundamental quantities of information theory are
customarily expressed and manipulated as functions of probabilities. Here we
study the entropy H and subentropy Q as functions of the elementary symmetric
polynomials in the probabilities, and reveal a series of remarkable properties.
Derivatives of all orders are shown to satisfy a complete monotonicity
property. H and Q themselves become multivariate Bernstein functions and we
derive the density functions of their Levy-Khintchine representations. We also
show that H and Q are Pick functions in each symmetric polynomial variable
separately. Furthermore we see that H and the intrinsically quantum
informational quantity Q become surprisingly closely related in functional
form, suggesting a special significance for the symmetric polynomials in
quantum information theory. Using the symmetric polynomials we also derive a
series of further properties of H and Q.

7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph
17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess