1 citations · 1 across the 2 of their papers we have counts for
3 papers
Forcing with Invariant Measures
Nathanael Ackerman, Cameron Freer, Mohammad Golshani +2
This paper introduces a model-theoretic generalization of the notion of forcing with random reals, in which forcing gives rise to random generic structures. Specifically, we consid…
Big Ramsey Degrees in Ultraproducts of Finite Structures
Dana Bartošová, Mirna Džamonja, Rehana Patel +1
We develop a transfer principle of structural Ramsey theory from finite structures to ultraproducts. We show that under certain mild conditions, when a class of finite structures h…
Generic sampling and invariant measures on the space of -uniform hypergraphs
Nathanael Ackerman, Cameron Freer, Kyle Gannon +2
We prove a model-theoretic representation theorem for the distribution of an ergodic exchangeable -uniform hypergraph: every such measure arises as the pushforward of the counta…