High dimensional analogue of metric distortion for simplicial complexes

Research output: Working paper/PreprintPreprint

Abstract

We suggest a new possible high dimensional analogue to metric distortion. We then show a possible method for providing lower bounds to this distortion and use this method to prove a ”Bourgain-type” distortion theorem for Linial-Meshulam random complexes.
Original languageEnglish
PublisherarXiv:1412.7142 [math.MG]
StatePublished - 2014

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