Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Noncommutative Lebesgue decomposition and contiguity with applications
  in quantum statistics   We herein develop a theory of contiguity in the quantum domain based upon a
novel quantum analogue of the Lebesgue decomposition. The theory thus
formulated is pertinent to the weak quantum local asymptotic normality
introduced in the previous paper [Yamagata, Fujiwara, and Gill, \textit{Ann.
Statist.}, \textbf{41} (2013) 2197-2217.], yielding substantial enlargement of
the scope of quantum statistics.

31
The categories of this paper are: ao-sci
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
23
The categories of this paper are: solv-int
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics