Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Characterisation of conditional weak mixing via ergodicity of the tensor
  product in Riesz Spaces   We link conditional weak mixing and ergodicity of the tensor product in Riesz
spaces. In particular, we characterise conditional weak mixing of a conditional
expectation preserving system by the ergodicity of its tensor product with
itself or other ergodic systems. In order to achieve this we characterise the
components of the weak order units in the tensor product of two Dedekind
complete Riesz spaces with weak order units.

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The categories of this paper are: astro-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
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The categories of this paper are: adap-org
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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: hep-lat
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The categories of this paper are: acc-phys
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The categories of this paper are: q-bio
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The categories of this paper are: atom-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: cond-mat
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The categories of this paper are: nucl-ex