Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bernoulli property for homogeneous systems   Let $G$ be a semisimple Lie group with Haar measure $\mu$ and let $\Gamma$ be
an irreducible lattice in $G$. For $g\in G$, we consider left translation $L_g$
acting on $(G\backslash\Gamma,\mu)$. We show that if $L_g$ is $K$ (which is
equivalent to positive entropy of $L_g$) then $L_g$ is a Bernoulli
automorphism. As a corollary, we also obtain analogous results for homogeneous
flows.

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The categories of this paper are: mtrl-th
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The categories of this paper are: eess
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The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
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The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: chao-dyn
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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: hep-th
3
The categories of this paper are: physics
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The categories of this paper are: bayes-an
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The categories of this paper are: cmp-lg
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The categories of this paper are: astro-ph