Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generic properties of extensions   Motivated by the classical results by Halmos and Rokhlin on the genericity of
weakly but not strongly mixing transformations and the Furstenberg tower
construction, we show that weakly but not strongly mixing extensions on a fixed
product space with both measures non-atomic are generic. In particular, a
generic extension does not have an intermediate nilfactor.

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The categories of this paper are: hep-ex
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The categories of this paper are: stat
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The categories of this paper are: nucl-th
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: alg-geom
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The categories of this paper are: funct-an
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The categories of this paper are: physics
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The categories of this paper are: eess
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The categories of this paper are: chao-dyn
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The categories of this paper are: nlin
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The categories of this paper are: cs
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The categories of this paper are: patt-sol
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The categories of this paper are: comp-gas
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The categories of this paper are: econ
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The categories of this paper are: q-alg