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SUMMARY:Uri Grupel (University of Innsbruk)
DTSTART:20200421T143000Z
DTEND:20200421T153000Z
DTSTAMP:20260423T052641Z
UID:OAGAS/3
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OAGAS/3/">Me
 tric distortion of random spaces</a>\nby Uri Grupel (University of Innsbru
 k) as part of Online asymptotic geometric analysis seminar\n\n\nAbstract\n
 We consider a random set in the unit circle. Is the induced discrete metri
 c of the set closer to that of another independent random set or to the ev
 enly spaced set of the same cardinality? We measure the distortion by look
 ing at the smallest bi-Lipschitz norm of all the bijections between the tw
 o sets. Since the distortion between two random sets has infinite expectat
 ion\, 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
 .\n
LOCATION:https://researchseminars.org/talk/OAGAS/3/
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