Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Proof of spherical flocking based on quantitative rearrangement
  inequalities   Our recent work on the Burchard-Choksi-Topaloglu flocking problem showed that
in the large mass regime the ground state density profile is the characteristic
function of some set. Here we show that this set is, in fact, a round ball. The
essential mathematical structure needed in our proof is a strict rearrangement
inequality with a quantitative error estimate, which we deduce from recent deep
results of M. Christ.

3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
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The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
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The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
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The categories of this paper are: adap-org
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The categories of this paper are: patt-sol
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The categories of this paper are: chem-ph
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
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The categories of this paper are: quant-ph
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The categories of this paper are: mtrl-th