Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Deviation inequalities for Banach space valued martingales differences
  sequences and random field   We establish deviation inequalities for the maxima of partial sums of a
martingale differences sequence, and of a strictly stationary orthomartingale
random field. These inequalities can be used to establish complete convergence
of normalized maxima of partial sums.

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The categories of this paper are: econ
30
The categories of this paper are: q-alg
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The categories of this paper are: comp-gas
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The categories of this paper are: funct-an
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The categories of this paper are: math-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: chem-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: adap-org
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The categories of this paper are: solv-int
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The categories of this paper are: cond-mat
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The categories of this paper are: bayes-an
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-lat
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The categories of this paper are: q-fin
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The categories of this paper are: eess