Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Additional numerical and graphical evidence to support some Conjectures
  on discrete Schr\"odinger operators with a more general long range condition   This document contains additional numerical and graphical evidence to support
some of the conjectures mentioned in \cite{GM3}. We give more evidence for
$\kappa=3,4$ in dimension 2. As mentioned in that article we still don't quite
understand the sets $\boldsymbol{\mu}_{\kappa}(\Delta)$ and
$\boldsymbol{\Theta}_{\kappa}(\Delta)$ on $(0,1/2)$ for $\kappa=3$ in dimension
2. Here we give a bunch more threshold energies for $\kappa = 3$ in dimension
2.

19
The categories of this paper are: eess
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int
10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con