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Optimal maps and local-to-global property in negative dimensional spaces with Ricci curvature bounded from below
Mattia Magnabosco, Chiara Rigoni
Source abstract
In this paper we investigate two important properties of metric measure spaces satisfying the reduced curvature-dimension condition for negative values of the dimension parameter: the existence of a transport map between two suitable marginals and the so-called local-to-global property.
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