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math.LO2026
Generically stable Keisler measures
Gabriel Conant, Kyle Gannon, James E. Hanson
Given a first-order theory (in discrete or continuous logic) and a Borel-definable global Keisler measure in , we show that the following conditions are equivalent: $(i)…
math.LO2026
Model theory of convolution algebras
Alexander Berenstein, Kyle Gannon, Shichang Song
This paper deals with the model theory of convolution algebras for locally compact groups , seen as Banach lattices equipped with the convolution product . We fi…
math.LO2024
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…