Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Laplace Operator in Networks of Thin Fibers: Spectrum Near the Threshold   Our talk at Lisbon SAMP conference was based mainly on our recent results
(published in Comm. Math. Phys.) on small diameter asymptotics for solutions of
the Helmgoltz equation in networks of thin fibers. The present paper contains a
detailed review of these results under some assumptions which make them much
more transparent. It also contains several new theorems on the structure of the
spectrum near the threshold. small diameter asymptotics of the resolvent, and
solutions of the evolution equation.

23
The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
32
The categories of this paper are: atom-ph
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph