Szemerédi's regularity lemma via martingales (Q311501)
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scientific article; zbMATH DE number 6626775
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Szemerédi's regularity lemma via martingales |
scientific article; zbMATH DE number 6626775 |
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Szemerédi's regularity lemma via martingales (English)
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13 September 2016
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Summary: We prove a variant of the abstract probabilistic version of Szemerédi's regularity lemma, due to \textit{T. Tao} [Contrib. Discrete Math. 1, No. 1, 8--28 (2006; Zbl 1093.05030)], which applies to a number of structures (including graphs, hypergraphs, hypercubes, graphons, and many more) and works for random variables in \(L_p\) for any \(p>1\). Our approach is based on martingale difference sequences.
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Szemerédi's regularity lemma
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semiring
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norm
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martingale difference sequences
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