Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Zero-one laws for eventually always hitting points in in rapidly mixing
  systems   In this work we study the set of eventually always hitting points in
shrinking target systems. These are points whose long orbit segments eventually
hit the corresponding shrinking targets for all future times. We focus our
attention on systems where translates of targets exhibit near perfect mutual
independence, such as Bernoulli schemes and the Gauss map. For such systems, we
present tight conditions on the shrinking rate of the targets so that the set
of eventually always hitting points is a null set (or co-null set
respectively).

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The categories of this paper are: nlin
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The categories of this paper are: adap-org
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
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The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
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The categories of this paper are: quant-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: eess
28
The categories of this paper are: alg-geom
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The categories of this paper are: math-ph
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The categories of this paper are: q-bio
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The categories of this paper are: hep-lat