Showing math.LOShow all
3 papers · 1 filter
math.LO2023
Generic Stability Independence and Treeless theories
Itay Kaplan, Nicholas Ramsey, Pierre Simon
We initiate a systematic study of \emph{generic stability independence} and introduce the class of \emph{treeless theories} in which this notion of independence is particularly wel…
math.LO2023
The model theory of geometric random graphs
Omer Ben-Neria, Itay Kaplan, Tingxiang Zou
We study the logical properties of infinite geometric random graphs, introduced by Bonato and Janssen. These are graphs whose vertex set is a dense ``generic'' subset of a metric s…
math.LO2014
The generic pair conjecture for dependent finite diagrams
Itay Kaplan, Noa Lavi, Saharon Shelah
This paper generalizes Shelah's generic pair conjecture (now theorem) for the measurable cardinal case from first order theories to finite diagrams. We use homogeneous models in th…