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math.LO2023
Generic stability, randomizations, and NIP formulas
Gabriel Conant, Kyle Gannon, James E. Hanson
We prove a number of results relating the concepts of Keisler measures, generic stability, randomizations, and NIP formulas. Among other things, we do the following: (1) We introdu…
math.LO2023
Concerning Keisler Measures over ultraproducts
Kyle Gannon
As consequence of the VC theorem, any pseudo-finite measure over an NIP ultraproduct is generically stable. We demonstrate a converse of this theorem and prove that any finitely ap…