English

Finding generically stable measures

Logic 2012-08-14 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1009.3566,
  title  = {Finding generically stable measures},
  author = {Pierre Simon},
  journal= {arXiv preprint arXiv:1009.3566},
  year   = {2012}
}
R2 v1 2026-06-21T16:15:42.042Z