Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Superoscillations: a scale physics perspective   Arguments from scale physics, augmented by numerical and analytical
investigations, are used to consider the probability and the detectability of
superoscillations in generic functions. The detectability is defined as the
fraction of the total power in the field that is located at regions of
superoscillations. It is found that the probability for a superoscillation of a
particular scale follows a quadratic power-law decay curve above the scale of
the bounded support of the spectrum. The detectability is found to be even more
severely suppressed, following a fourth-order power-law decay curve above the
scale of the spectrum.

1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat