$L_p$ regular sparse hypergraphs

Published 24 Oct 2015 in math.CO, math.FA, and math.PR | (1510.07139v4)

Abstract: We study sparse hypergraphs which satisfy a mild pseudorandomness condition known as $L_p$ regularity. We prove appropriate regularity and counting lemmas, and we extend the relative removal lemma of Tao in this setting. This answers a question of Borgs, Chayes, Cohn and Zhao.

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