Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mild mixing property for special flows under piecewise constant
  functions   We give a condition on a piecewise constant roof function and an irrational
rotation by $\alpha$ on the circle to give rise to a special flow having the
mild mixing property. Such flows will also satisfy Ratner's property. As a
consequence we obtain a class of mildly mixing singular flows on the two-torus
that arise from quasi-periodic Hamiltonians flows by velocity changes.

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The categories of this paper are: patt-sol
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-th
1
The categories of this paper are: cs
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The categories of this paper are: mtrl-th
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The categories of this paper are: dg-ga
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The categories of this paper are: chem-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: bayes-an
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The categories of this paper are: q-fin
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The categories of this paper are: solv-int
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The categories of this paper are: acc-phys
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The categories of this paper are: comp-gas
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The categories of this paper are: astro-ph