Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Perimeters, uniform enlargement and high dimensions   We study the isoperimetric problem in product spaces equipped with the
uniform distance. Our main result is a characterization of isoperimetric
inequalities which, when satisfied on a space, are still valid for the product
spaces, up a to a constant which does not depend on the number of factors. Such
dimension free bounds have applications to the study of influences of
variables.

15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn