Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Limit of Superposition States   In this paper, we study the structure of a family of superposition states on
tensor algebras. The correlation functions of the considered states are
described through a new kind of positive definite kernels valued in the dual of
C$^\ast$-algebras, so-called Schur kernels. Mainly, we show the existence of
the limiting state of a net of superposition states over an arbitrary locally
finite graph. Furthermore, we show that this limiting state enjoys a mixing
property and an $\alpha$-mixing property in the case of the multi-dimensional
integer lattice $\mathbb{Z}^\nu$.

33
The categories of this paper are: plasm-ph
23
The categories of this paper are: solv-int
16
The categories of this paper are: stat
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol
19
The categories of this paper are: eess
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
37
The categories of this paper are: supr-con