James E. Hanson

activity

20242026

collaborators

3 papers

math.LO2026

Generically stable Keisler measures

Gabriel Conant, Kyle Gannon, James E. Hanson

Given a first-order theory $T$ (in discrete or continuous logic) and a Borel-definable global Keisler measure $μ$ in $T$ , we show that the following conditions are equivalent: $(i)…

math.CO2025

Generic sampling and invariant measures on the space of $k$ -uniform hypergraphs

Nathanael Ackerman, Cameron Freer, Kyle Gannon +2

We prove a model-theoretic representation theorem for the distribution of an ergodic exchangeable $k$ -uniform hypergraph: every such measure arises as the pushforward of the counta…

math.LO2024

Model theoretic events

Kyle Gannon, James E. Hanson

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…

Generically stable Keisler measures

Generic sampling and invariant measures on the space of k-uniform hypergraphs

Model theoretic events

Generic sampling and invariant measures on the space of $k$ -uniform hypergraphs