Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Semiclassical limits of distorted plane waves in chaotic scattering
  without a pressure condition   In this paper, we study the semi-classical behavior of distorted plane waves,
on manifolds that are Euclidean near infinity or hyperbolic near infinity, and
of non-positive curvature. Assuming that there is a strip without resonances
below the real axis, we show that distorted plane waves are bounded in
$L^2_{loc}$ independently of $h$, that they admit a unique semiclassical
measure, and we prove bounds on their $L^p_{loc}$ norms.

33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph