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math.LO2026
Loeb Equivalence for General Internal Probability Spaces
Haosui Duanmu, Xinyu Liu, David Schrittesser
Loeb measure theory stands as one of the most influential concepts in nonstandard analysis, underpinning nearly all applications in probability, stochastic processes, and mathemati…
math.LO2020
Finitely-additive, countably-additive and internal probability measures
Haosui Duanmu, William Weiss
We discuss two ways to construct standard probability measures, called push-down measures, from internal probability measures. We show that the Wasserstein distance between an inte…