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arxiv: 1009.3566 · v1 · pith:AZMNRJKBnew · submitted 2010-09-18 · 🧮 math.LO

Finding generically stable measures

classification 🧮 math.LO
keywords genericallymeasuresstablearbitraryconstructionsdiscussfindingfirst
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We discuss two constructions for obtaining generically stable Keisler measures in an NIP theory. 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 measures. Also included is a proof that generically stable measures over o-minimal theories and the p-adics are smooth.

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