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High Dimensional Expanders

Published 7 Dec 2017 in math.GR, math.CO, math.GT, and math.RT | (1712.02526v1)

Abstract: Expander graphs have been, during the last five decades, the subject of a most fruitful interaction between pure mathematics and computer science, with influence and applications going both ways (cf. [Lub94], [HLW06], [Lub12] and the references therein). In the last decade, a theory of "high dimensional expanders" has begun to emerge. The goal of the current paper is to describe some paths of this new area of study.

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