Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Distorted plane waves in chaotic scattering   Distorted plane waves, sometimes called Eisenstein functions, are a family of
eigenfunctions of a Schr\"odinger operator that are not square integrable. More
precisely, they can be written as the sum of a plane wave and an outgoing wave.
We shall study distorted plane waves in the semiclassical limit, in a general
setting which includes manifolds that are Euclidean near infinity, under the
hypothesis that the classical dynamics is hyperbolic close to the trapped set,
and that some topological pressure is negative.

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The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
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The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
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The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
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The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
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The categories of this paper are: econ
7
The categories of this paper are: hep-th
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The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: cs
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The categories of this paper are: nucl-th
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The categories of this paper are: chem-ph