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High Dimensional Expanders

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arxiv 1712.02526 v1 pith:HO2WOOJL submitted 2017-12-07 math.GR math.COmath.GTmath.RT

Alexander Lubotzky This is my paper · ORCID
classification math.GRmath.COmath.GTmath.RT
keywords dimensionalexpandershighlastapplicationsareabeenbegun
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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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