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Results tagged with mg.metric-geometry
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user 314314
Euclidean, hyperbolic, discrete, convex, coarse geometry, metric spaces, comparisons in Riemannian geometry, symmetric spaces.
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Proving the inequality involving Hausdorff distance and Wasserstein infinity distance
Call $A,B$ the two supports, and $h$ the Hausdorff distance. Given a transport plan $\gamma$ we need to infer $h(A,B)\leq\sup^\gamma d(x,y)$, that is, for any $x\in A$, that $\inf_{y\in B} d(x,y)\leq …
