Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Ramsey precompact expansions of homogeneous directed graphs   In 2005, Kechris, Pestov and Todorcevic provided a powerful tool to compute
an invariant of topological groups known as the universal minimal flow,
immediately leading to an explicit representation of this invariant in many
concrete cases. More recently, the framework was generalized allowing for
further applications, and the purpose of this paper is to apply these new
methods in the context of homogeneous directed graphs.
  In this paper, we show that the age of any homogeneous directed graph allows
a Ramsey precompact expansion. Moreover, we verify the relative expansion
properties and consequently describe the respective universal minimal flows.

14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
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The categories of this paper are: hep-ex
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-th
16
The categories of this paper are: stat
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The categories of this paper are: q-alg
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The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs