Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Resistance metric, and spectral asymptotics, on the graph of the
  Weierstrass function   Following our work on the graph of the Weierstrass function, in the spirit of
those of J. Kigami and R. S. Strichartz, which enabled us to build a Laplacian
on the aforementioned graph, it was natural to go further and give the related
explicit resistance metric.
  The aim of this work is twofold. We had a special interest in the study of
the spectral properties of the Laplacian. In our previous work, we have given
the explicit the spectrum on the graph of the Weierstrass function. In the case
of Laplacians on post-critically finite fractals, existing results of J. Kigami
and M. Lapidus, R. S. Strichartz, make the link between resistance metric, and
asymptotic properties of the spectrum of the Laplacian, by means of an
analoguous of Weyl's formula.
  So we asked ourselves wether those results were still valid, for the graph of
the Weierstrass function.

6
The categories of this paper are: astro-ph
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int
19
The categories of this paper are: eess
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga