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math.PR2024
On the Wasserstein distance between a hyperuniform point process and its mean
Raphael Butez, Sandrine Dallaporta, David García-Zelada
We study the existence of bounds on the expected -Wasserstein distance between a random measure and its mean under the assumption that the -th centered moments of the countin…
math.PR2016
Large deviations principle for biorthogonal ensembles and variational formulation for the Dykema-Haagerup distribution
Raphael Butez
This note provides a large deviations principle for a class of biorthogonal ensembles. We extend the results of Eichelsbacher, Sommerauer and Stotlz to more general type of interac…