Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Furstenberg families and transitivity in non-autonomous systems   We obtain necessary and sufficient conditions for a non-autonomous system to
be $\mathcal{F}$-transitive and $\mathcal{F}$-mixing, where $\mathcal{F}$ is a
Furstenberg family. We also obtain some characterizations for topologically
ergodic non-autonomous systems. We provide examples/counter examples related to
our results.

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The categories of this paper are: supr-con
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The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol
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The categories of this paper are: nucl-ex
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The categories of this paper are: atom-ph
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The categories of this paper are: nucl-th
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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: q-fin