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On the Wasserstein distance between a hyperuniform point process and its mean

Butez, Raphael et al.
arXiv (All) · Papers
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probability
We study the existence of bounds on the expected $p$-Wasserstein distance between a random measure and its mean under the assumption that the $p$-th centered moments of the counting statistics are controlled uniformly in space. The average Wasserstein transport cost is shown to be bounded from above
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