Szemer\'edi's regularity lemma via martingales
Abstract
We prove a variant of the abstract probabilistic version of Szemer\'edi's regularity lemma, due to Tao, which applies to a number of structures (including graphs, hypergraphs, hypercubes, graphons, and many more) and works for random variables in Lp for any p>1. Our approach is based on martingale difference sequences.
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