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DTSTAMP;TZID=America/Vancouver:20221206T112000
DTSTART;TZID=America/Vancouver:20221206T112000
DTEND;TZID=America/Vancouver:20221206T120500

UID:20221206T112000@prima2022.primamath.org
SUMMARY:Barycenters and a law of large numbers in Gromov hyperbolic spaces
DESCRIPTION:We investigate barycenters of probability measures on Gromov hyperbolic spaces, toward development of convex optimization in this class of metric spaces. We establish a contraction property in terms of the Wasserstein distance, a deterministic approximation of barycenters of uniform distributions on finite points, and a kind of law of large numbers. These generalize the corresponding results on CAT(0)-spaces, up to additional terms depending on the hyperbolicity constant.
STATUS:CONFIRMED
LOCATION:Port Alberni
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