Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Geometry of log-concave Ensembles of random matrices and approximate
  reconstruction   We study the Restricted Isometry Property of a random matrix $\Gamma$ with
independent isotropic log-concave rows. To this end, we introduce a parameter
$\Gamma_{k,m}$ that controls uniformly the operator norm of sub-matrices with
$k$ rows and $m$ columns. This parameter is estimated by means of new tail
estimates of order statistics and deviation inequalities for norms of
projections of an isotropic log-concave vector.

37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int
27
The categories of this paper are: comp-gas
13
The categories of this paper are: quant-ph
24
The categories of this paper are: dg-ga
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
7
The categories of this paper are: hep-th