Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Concavity properties of extensions of the parallel volume   In this paper we establish concavity properties of two extensions of the
classical notion of the outer parallel volume. On the one hand, we replace the
Lebesgue measure by more general measures. On the other hand, we consider a
functional version of the outer parallel sets.

12
The categories of this paper are: nucl-th
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
16
The categories of this paper are: stat
17
The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
19
The categories of this paper are: eess
14
The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph