Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Surface measures and related functional inequalities on configuration
  spaces   Using finite difference operators, we define a notion of boundary and surface
measure for configuration sets under Poisson measures. A Margulis-Russo type
identity and a co-area formula are stated with applications to deviation
inequalities and functional inequalities, and bounds are obtained on the
associated isoperimetric constants.

13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg