Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Magnetic Laplacians of locally exact forms on the Sierpinski Gasket   We give a mathematically rigorous construction of a magnetic Schr\"odinger
operator corresponding to a field with flux through finitely many holes of the
Sierpinski Gasket. The operator is shown to have discrete spectrum accumulating
at $\infty$, and it is shown that the asymptotic distribution of eigenvalues is
the same as that for the Laplacian. Most eigenfunctions may be computed using
gauge transformations corresponding to the magnetic field and the remainder of
the spectrum may be approximated to arbitrary precision by using a sequence of
approximations by magnetic operators on finite graphs.

8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con