Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Computation of the scaling factor of resistance forms of the pillow and
  fractalina fractals   Much is known in the analysis of a finitely ramified self-similar fractal
when the fractal has a harmonic structure: a Dirichlet form which respects the
self-similarity of a fractal. What is still an open question is when such
structure exists in general. In this paper, we introduce two fractals, the
fractalina and pillow, and compute their resistance scaling factor. This is the
factor which dictates how the Dirichlet form scales with the self-similarity of
the fractal. By knowing this factor one can compute the harmonic structure on
the fractal. The fractalina has scaling factor $(3+\sqrt{41})/16$, and the
pillow fractal has scaling factor $\sqrt[3]{2}$.

18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
13
The categories of this paper are: quant-ph
23
The categories of this paper are: solv-int
5
The categories of this paper are: gr-qc