Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantitative stability for the Brunn-Minkowski inequality   We prove a quantitative stability result for the Brunn-Minkowski inequality:
if $|A|=|B|=1$, $t \in [\tau,1-\tau]$ with $\tau>0$, and $|tA+(1-t)B|^{1/n}\leq
1+\delta$ for some small $\delta$, then, up to a translation, both $A$ and $B$
are quantitatively close (in terms of $\delta$) to a convex set $K$.

17
The categories of this paper are: q-fin
13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
14
The categories of this paper are: math-ph
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat