Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spectral stability and semiclassical measures for renormalized KAM
  systems   An exact semiclassical version of the classical KAM theorem about small
perturbations of vector fields on the torus is given. Moreover, a
renormalization theorem based on counterterms for some semiclassical systems
that are close to being completely integrable is obtained. We apply these
results to characterize the sets of semiclassical measures and quantum limits
for sequences of $L^2$-eigenfunctions of these systems.

0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an
19
The categories of this paper are: eess
21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci