Metric distortion of random spaces

Uri Grupel (University of Innsbruk)

21-Apr-2020, 14:30-15:30 (4 years ago)

Abstract: We consider a random set in the unit circle. Is the induced discrete metric of the set closer to that of another independent random set or to the evenly spaced set of the same cardinality? We measure the distortion by looking at the smallest bi-Lipschitz norm of all the bijections between the two sets. Since the distortion between two random sets has infinite expectation, the talk will focus on the median. We show that two random sets have "typically" smaller distortion than a random set and an evenly spaced set.

analysis of PDEsmetric geometry

Audience: researchers in the topic


Online asymptotic geometric analysis seminar

Series comments: The link: technion.zoom.us/j/99202255210

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Organizers: Galyna Livshyts*, Liran Rotem*, Dmitry Ryabogin, Konstantin Tikhomirov, Artem Zvavitch
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