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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.LO2012★ 1 cited
Groups and fields with NTP2
Artem Chernikov, Itay Kaplan, Pierre Simon
NTP2 is a large class of first-order theories defined by Shelah and generalizing simple and NIP theories. Algebraic examples of NTP2 structures are given by ultra-products of p-adi…
math.LO2009
Naming an indiscernible sequence in NIP theories
Artem Chernikov, Pierre Simon
In this short note we show that if we add predicate for a dense complete indiscernible sequence in a dependent theory then the result is still dependent. This answers a question of…