Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Free Probability Analogue of the Wasserstein Metric on the Trace-State
  Space   We define a free probability analogue of the Wasserstein metric, which
extends the classical one. In dimension one, we prove that the square of the
Wasserstein distance to the semi-circle distribution is majorized by a modified
free entropy quantity.

21
The categories of this paper are: adap-org
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph