Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Estimating discrete curvatures in terms of beta numbers   For an arbitrary Radon measure $\mu$ we estimate the integrated discrete
curvature of $\mu$ in terms of its centred variant of Jones' beta numbers. We
farther relate integrals of centred and non-centred beta numbers. As a
corollary, employing the recent result of Tolsa [Calc. Var. PDE, 2015], we
obtain a partial converse of the theorem of Meurer [arXiv:1510.04523].

34
The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
19
The categories of this paper are: eess
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
11
The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn