Search: MSC category 01
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1. CJM Online first
||On the rate of convergence of empirical measures in $\infty$-transportation distance|
We consider random i.i.d. samples of absolutely continuous measures
on bounded connected domains.
We prove an upper bound on the $\infty$-transportation distance
between the measure and the empirical measure of the sample.
The bound is optimal in terms of scaling with the number of sample