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Finding generically stable measures
Journal of Symbolic Logic 77 (1):263-278 (2012)
Abstract
This work builds on previous papers by Hrushovski, Pillay and the author where Keisler measures over NIP theories are studied. We discuss two constructions for obtaining generically stable measures in this context. First, we show how to symmetrize an arbitrary invariant measure to obtain a generically stable one from it. Next, we show that suitable sigma-additive probability measures give rise to generically stable Keisler measures. Also included is a proof that generically stable measures over o-minimal theories and the p-adics are smoothLinks
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Citations of this work
Distal and non-distal NIP theories.Pierre Simon - 2013 - Annals of Pure and Applied Logic 164 (3):294-318.
On Groups with Definable F_-Generics Definable in _P-Adically Closed Fields.Anand Pillay & Y. A. O. Ningyuan - 2023 - Journal of Symbolic Logic 88 (4):1334-1353.
On minimal flows and definable amenability in some distal NIP theories.Ningyuan Yao & Zhentao Zhang - 2023 - Annals of Pure and Applied Logic 174 (7):103274.
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