Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lipschitz correspondence between metric measure spaces and random
  distance matrices   Given a metric space with a Borel probability measure, for each integer $N$
we obtain a probability distribution on $N\times N$ distance matrices by
considering the distances between pairs of points in a sample consisting of $N$
points chosen indepenedently from the metric space with respect to the given
measure. We show that this gives an asymptotically bi-Lipschitz relation
between metric measure spaces and the corresponding distance matrices. This is
an effective version of a result of Vershik that metric measure spaces are
determined by associated distributions on infinite random matrices.

22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
5
The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys