Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bernoulli disjointness   Generalizing a result of Furstenberg, we show that for every infinite
discrete group $G$, the Bernoulli flow $2^G$ is disjoint from every minimal
$G$-flow. From this, we deduce that the algebra generated by the minimal
functions $\mathfrak{A}(G)$ is a proper subalgebra of $\ell^\infty(G)$ and that
the enveloping semigroup of the universal minimal flow $M(G)$ is a proper
quotient of the universal enveloping semigroup $\beta G$. When $G$ is
countable, we also prove that for any metrizable, minimal $G$-flow, there
exists a free, minimal flow disjoint from it and that there exist continuum
many mutually disjoint minimal, free, metrizable $G$-flows. Finally, improving
a result of Frisch, Tamuz, and Vahidi Ferdowsi and answering a question of
theirs, we show that if $G$ is a countable icc group, then it admits a free,
minimal, proximal flow.

16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
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The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
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The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
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The categories of this paper are: quant-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: dg-ga