Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantitative lower bounds to the Euclidean and the Gaussian Cheeger
  constants   We provide a quantitative lower bound to the Cheeger constant of a set
$\Omega$ in both the Euclidean and the Gaussian settings in terms of suitable
asymmetry indexes. We provide examples which show that these quantitative
estimates are sharp.

21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph
19
The categories of this paper are: eess
8
The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
7
The categories of this paper are: hep-th