Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: L_p moments of random vectors via majorizing measures   For a random vector X in R^n, we obtain bounds on the size of a sample, for
which the empirical p-th moments of linear functionals are close to the exact
ones uniformly on an n-dimensional convex body K. We prove an estimate for a
general random vector and apply it to several problems arising in geometric
functional analysis. In particular, we find a short Lewis type decomposition
for any finite dimensional subspace of L_p. We also prove that for an isotropic
log-concave random vector, we only need about n^{p/2} \log n sample points so
that the empirical p-th moments of the linear functionals are almost
isometrically the same as the exact ones. We obtain a concentration estimate
for the empirical moments. The main ingredient of the proof is the construction
of an appropriate majorizing measure to bound a certain Gaussian process.

8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th
22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
24
The categories of this paper are: dg-ga