Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Majorization and Measures of Classical Polarization in Three Dimensions   There has been much discussion in the literature about rival measures of
classical polarization in three dimensions. We gather and compare the various
proposed measures of polarization, creating a geometric representation of the
polarization state space in the process. We use majorization, previously used
in quantum information, as a criterion to establish a partial ordering on the
polarization state space. Using this criterion and other considerations, the
most useful polarization measure in three dimensions is found to be one
dependent on the Bloch vector decomposition of the polarization matrix.

2
The categories of this paper are: math
8
The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
24
The categories of this paper are: dg-ga
23
The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph
21
The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con