Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Random Sturm-Liouville Operators with Point Interactions   We study invariance for eigenvalues of families of selfadjoint
Sturm-Liouville operators with local point interactions. In a probabilistic
setting, we show that a point is either an eigenvalue for all members of the
family or only for a set of measure zero. Using classical oscillation theory it
is possible to decide whether the second situation happens. The operators do
not need to be measurable or ergodic. This generalizes the well-known fact that
for ergodic operators a point is eigenvalue with probability zero.

16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph
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The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio
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The categories of this paper are: q-fin
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The categories of this paper are: eess
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The categories of this paper are: bayes-an
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The categories of this paper are: ao-sci
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The categories of this paper are: nlin
18
The categories of this paper are: econ