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math.PR2026
Convergence rate of the occupation measure of classes of ergodic processes toward their invariant distribution in mean Wasserstein distance
Gilles Pagès, Fabien Panloup
N. Fournier and A. Guillin obtained in their 2015 PTRF paper some bounds of the L^p-mean rate of convergence in Wasserstein distance of empirical distributions for a class of stati…
math.PR2026
Kolmogorov-Smirnov distance and discrepancies versus Wasserstein distances
Gilles Pagès, Fabien Panloup
We establish inequalities that compare the p-Wasserstein distance to distances which are built as suprema of box measures. More precisely, when the measures are supported on $[0,1]…