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Preprint Number 291

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291. Pierre Simon
Finding generically stable measures
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Submission date: 25 January 2011.

Abstract:

We discuss two constructions for obtaining generically stable measures. 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 smooth.

Mathematics Subject Classification: 03C68

Keywords and phrases: NIP, measures, generically stable

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