Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Functional CLT for martingale-like nonstationary dependent structures   In this paper we develop non-stationary martingale techniques for dependent
data. We shall stress the non-stationary version of the projective
Maxwell-Woodroofe condition, which will be essential for obtaining maximal
inequalities and functional central limit theorem for the following examples:
nonstationary \r{ho}-mixing sequences, functions of linear processes with
non-stationary innovations, quenched version of the functional central limit
theorem for a stationary sequence, evolutions in random media such as a process
sampled by a shifted Markov chain.

19
The categories of this paper are: eess
32
The categories of this paper are: atom-ph
6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin