Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the rate of convergence of empirical measures in
  $\infty$-transportation distance   We consider random i.i.d. samples of absolutely continuous measures on
bounded connected domains. We prove an upper bound on the
$\infty$-transportation distance between the measure and the empirical measure
of the sample. The bound is optimal in terms of scaling with the number of
sample points.

27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
19
The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
17
The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat