Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hyper-positive definite functions II: A complete study of
  branching-Toeplitz operators   We introduce and give a more or less complete study of a family of
branching-Toeplitz operators on the Hilbert space $\ell^2(T_q)$ indexed by a
rooted homogeneous tree $T_q$ of degree $q\ge 2$. The finite dimensional
analogues of such operators form a very natural family of structured sparse
matrices called branching-Toeplitz matrices and will also be investigated. The
branching-Toeplitz operators/matrices in this paper should be viewed as natural
generalizations of the standard Toeplitz operators/matrices. We will apply our
results to construct a family of determinantal point processes on homogeneous
trees which are branching-type strong stationary stochastic processes.

11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess
3
The categories of this paper are: physics
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
28
The categories of this paper are: alg-geom