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Theory and applications of probability and stochastic processes: e.g. central limit theorems, large deviations, stochastic differential equations, models from statistical mechanics, queuing theory.

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Practical bounds for the Wasserstein distance in 2 dimensions

Sorry, I don't have the reputation to comment. Most of the bounds in the first paper you cite are completely explicit as you go through the proofs, and can be used to obtain a bound of the form you …
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