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Finding generically stable measures

Published online by Cambridge University Press:  12 March 2014

Pierre Simon
Pierre Simon*
Affiliation:
ENS, Département de Mathématiques et Applications, 45, Rue D'ulm, 75005 Paris, France, E-mail: [email protected]
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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 smooth.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 77 , Issue 1 , March 2012 , pp. 263 - 278
Copyright
Copyright © Association for Symbolic Logic 2012

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References

REFERENCES

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