Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Rates of convergence in the strong invariance principle under projective
  criteria   We give rates of convergence in the strong invariance principle for
stationary sequences satisfying some projective criteria. The conditions are
expressed in terms of conditional expectations of partial sums of the initial
sequence. Our results apply to a large variety of examples, including mixing
processes of different kinds. We present some applications to symmetric random
walks on the circle, to functions of dependent sequences, and to a reversible
Markov chain.

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The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
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The categories of this paper are: acc-phys
13
The categories of this paper are: quant-ph
24
The categories of this paper are: dg-ga
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The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
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The categories of this paper are: eess
0
The categories of this paper are: hep-ph
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The categories of this paper are: hep-th
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The categories of this paper are: chem-ph
1
The categories of this paper are: cs
3
The categories of this paper are: physics