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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…
On the computability of cofinal Fraïssé limits
Nathanael Ackerman, Cameron Freer, Mostafa Mirabi
For any collection of finite structures closed under isomorphism (i.e., an age) which has the Hereditary Property (HP), the Joint Embedding Property (JEP), and the Cofinal Amalgama…
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…