Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fractional Gaussian fields on the Sierpinski gasket and related fractals   We define and study a fractional Gaussian field $X$ with Hurst parameter $H$
on the Sierpi\'nski gasket $K$ equipped with its Hausdorff measure $\mu$. It
appears as a solution, in a weak sense, of the equation $(-\Delta)^s X =W$
where $W$ is a Gaussian white noise on $L_0^2(K,\mu)$, $\Delta$ the Laplacian
on $K$ and $s= \frac{d_h+2H}{2d_w}$, where $d_h$ is the Hausdorff dimension of
$K$ and $d_w$ its walk dimension. The construction of those fields is then
extended to other fractals including the Sierpi\'nski carpet.

32
The categories of this paper are: atom-ph
21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
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The categories of this paper are: funct-an
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The categories of this paper are: ao-sci
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The categories of this paper are: q-fin
14
The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph