English

Model theoretic events

Logic 2026-03-26 v3 Probability

Abstract

We develop a notion of sampling, called \emph{generic sampling}, for the context of global Keisler measures where the standard product is replaced by the Morley product. Choosing a point randomly in this space with respect to our distribution yields a \emph{random generic type} in infinitely many variables. We investigate several natural model-theoretic events and provide conditions under which they occur for almost all random generic types.

Keywords

Cite

@article{arxiv.2402.15709,
  title  = {Model theoretic events},
  author = {Kyle Gannon and James E. Hanson},
  journal= {arXiv preprint arXiv:2402.15709},
  year   = {2026}
}

Comments

39 pages; Minor revision