Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An alternative to the coupling of Berkes-Liu-Wu for strong
  approximations   In this paper we propose an alternative to the coupling of Berkes, Liu and Wu
[1] to obtain strong approximations for partial sums of dependent sequences.
The main tool is a new Rosen-thal type inequality expressed in terms of the
coupling coefficients. These coefficients are well suited to some classes of
Markov chains or dynamical systems, but they also give new results for smooth
functions of linear processes.

6
The categories of this paper are: astro-ph
22
The categories of this paper are: chao-dyn
4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
16
The categories of this paper are: stat
21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin