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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…
math.LO2020
Loeb Extension and Loeb Equivalence
Robert M. Anderson, Haosui Duanmu, David Schrittesser +1
In Keisler and Sun (2004), the authors raise several open problems on Loeb equivalences between various internal probability spaces. We provide counter-examples for the first two o…