Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Small scale equidistribution for a point scatterer on the torus   We study the small scale distribution of the eigenfunctions of a point
scatterer (the Laplacian perturbed by a delta potential) on two- and
three-dimensional flat tori. In two dimensions, we establish small scale
equidistribution for the "new" eigenfunctions holding all the way down to the
Planck scale. In three dimensions, small scale equidistribution is established
for all of the "new" eigenfunctions at certain scales.

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The categories of this paper are: econ
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
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The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: nucl-th
1
The categories of this paper are: cs
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The categories of this paper are: eess
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-lat
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The categories of this paper are: patt-sol
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The categories of this paper are: cmp-lg
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The categories of this paper are: dg-ga
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The categories of this paper are: supr-con