Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Discrete Reifenberg-type theorem   The paper proves that a bound on the averaged Jones' square function of a
measure implies an upper bound on the measure. Various types of assumptions on
the measure are considered. The theorem is a generalization of a result due to
A. Naber and D. Valtorta in connection with measure bounds on the singular set
of harmonic maps.

15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ
19
The categories of this paper are: eess
13
The categories of this paper are: quant-ph
34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
16
The categories of this paper are: stat
14
The categories of this paper are: math-ph