Generically stable and smooth measures in NIP theories

Details Generically stable and smooth measures in NIP theories Generically stable and smooth measures in NIP theories

2010-02-25

arxiv.org/abs/1002.4763v1

Mathematics

Logic

36 pages

Scientific paper

We study stable like behaviour in first order theories without the
independence property. We introduce generically stable measures, give
characterizatiions, and show their ubiquity. We also introduce generic compact
domination. We also prove the approximate definability of arbitrary Borel
probability measures on definable sets in the real and p-adic fields.

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