Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: New structures on valuations and applications   An overview of some of the recent developments in the theory of valuations on
convex sets and its generalizations to manifolds is given. The exposition is
focused towards applications to integral geometry; several of such applications
are discussed.

12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
3
The categories of this paper are: physics
1
The categories of this paper are: cs