7 papers · 1 filter
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)…
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…
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…
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…
Definable convolution and idempotent Keisler measures
Artem Chernikov, Kyle Gannon
We initiate a systematic study of the convolution operation on Keisler measures, generalizing the work of Newelski in the case of types. Adapting results of Glicksberg, we show tha…
Remarks on generic stability in independent theories
Gabriel Conant, Kyle Gannon
In NIP theories, generically stable Keisler measures can be characterized in several ways. We analyze these various forms of "generic stability" in arbitrary theories. Among other…