Invariant measures in simple and in small theories

We give examples of (i) a simple theory with a formula (with parameters) which does not fork over ∅ but has 𝜇-measure 0 for every automorphism invariant Keisler measure 𝜇 and (ii) a definable group 𝐺 in a simple theory such that 𝐺 is not definably amenable, i.e. there is no translation invariant Kei...

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Bibliographic Details
Main Authors: Chernikov, A, Hrushovski, E, Kruckman, A, Krupinski, K, Moconja, S, Pillay, A, Ramsey, N
Format: Journal article
Language:English
Published: World Scientific Publishing 2022