Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stable regularity for relational structures   We generalize the stable graph regularity lemma of Malliaris and Shelah to
the case of finite structures in finite relational languages, e.g., finite
hypergraphs. We show that under the model-theoretic assumption of stability,
such a structure has an equitable regularity partition of size polynomial in
the reciprocal of the desired accuracy, and such that for each $k$-ary relation
and $k$-tuple of parts of the partition, the density is close to either 0 or 1.
In addition, we provide regularity results for finite and Borel structures that
satisfy a weaker notion that we call almost stability.

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The categories of this paper are: gr-qc
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The categories of this paper are: dg-ga
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The categories of this paper are: bayes-an
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The categories of this paper are: comp-gas
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The categories of this paper are: stat
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The categories of this paper are: nucl-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: funct-an
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The categories of this paper are: q-fin
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The categories of this paper are: solv-int
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The categories of this paper are: supr-con
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The categories of this paper are: patt-sol
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The categories of this paper are: q-bio
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The categories of this paper are: chem-ph
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The categories of this paper are: cs
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The categories of this paper are: hep-lat