## Publication 85

*On the Rate of Convergence of Empirical Measures in ∞ -Transportation Distance*

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##### Abstract:

We consider random i.i.d. samples of absolutely continuous measures on bounded connected domains. We prove an upper bound on the of Convergence of Empirical Measures in $\infty$-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 points.##### Get the paper in its entirety

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