Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Properties of Uniform Doubly Stochastic Matrices   We investigate the properties of uniform doubly stochastic random matrices,
that is non-negative matrices conditioned to have their rows and columns sum to
1. The rescaled marginal distributions are shown to converge to exponential
distributions and indeed even large sub-matrices of side-length
$o(n^{1/2-\epsilon})$ behave like independent exponentials. We determine the
limiting empirical distribution of the singular values the the matrix. Finally
the mixing time of the associated Markov chains is shown to be exactly 2 with
high probability.

9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg