Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Open Sets of Exponentially Mixing Anosov Flows   We prove that an Anosov flow with $\mathcal{C}^{1}$ stable bundle mixes
exponentially whenever the stable and unstable bundles are not jointly
integrable. This allows us to show that if a flow is sufficiently close to a
volume-preserving Anosov flow and $\operatorname{dim} \mathbb{E}_s = 1$,
$\operatorname{dim} \mathbb{E}_u \geq 2$ then the flow mixes exponentially
whenever the stable and unstable bundles are not jointly integrable.This
implies the existence of non-empty open sets of exponentially mixing Anosov
flows. As part of the proof of this result we show that $\mathcal{C}^{1+}$
uniformly-expanding suspension semiflows (in any dimension) mix exponentially
when the return time in not cohomologous to a piecewise constant.

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The categories of this paper are: stat
3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
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The categories of this paper are: adap-org
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The categories of this paper are: solv-int
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The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: q-fin
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The categories of this paper are: atom-ph
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The categories of this paper are: econ
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The categories of this paper are: eess
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The categories of this paper are: bayes-an
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The categories of this paper are: ao-sci
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The categories of this paper are: math-ph