Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Multiplicative Diophantine exponents of hyperplanes and their
  nondegenerate submanifolds   We consider multiparameter dynamics on the space of unimolular lattices.
Along with quantitative nondivergence we prove that multiplicative Diophantine
exponents of hyperplanes are inherited by their nondegenerate submanifolds.

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The categories of this paper are: cmp-lg
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The categories of this paper are: chem-ph
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The categories of this paper are: stat
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The categories of this paper are: chao-dyn
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The categories of this paper are: funct-an
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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: plasm-ph
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The categories of this paper are: math-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: gr-qc
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The categories of this paper are: mtrl-th
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The categories of this paper are: ao-sci
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The categories of this paper are: cond-mat
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-ex