Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Mourre estimate for a Schroedinger operator on a binary tree   Let G be a binary tree with vertices V and let H be a Schroedinger operator
acting on l^{2}(V). A decomposition of the space l^{2}(V) into invariant
subspaces is exhibited yielding a conjugate operator A, for use in the Mourre
estimate. We show that for potentials q satisfying a first order difference
decay condition, a Mourre estimate for H holds.

16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
23
The categories of this paper are: solv-int
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin
13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs