3 papers
math.LO2020
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…
math.LO2019
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…
math.LO2018
Local Keisler Measures and NIP Formulas
Kyle Gannon
We study generically stable measures in the local, NIP context. We show that in this setting, a measure is generically stable if and only if it admits a natural finite approximatio…