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math.LO2017★ 1 cited
Properly ergodic structures
Nathanael Ackerman, Cameron Freer, Alex Kruckman +1
We consider ergodic -invariant probability measures on the space of -structures with domain (for a countable relational language), and…
math.LO2017
Countable infinitary theories admitting an invariant measure
Nathanael Ackerman, Cameron Freer, Rehana Patel
Let be a countable language. We characterize, in terms of definable closure, those countable theories of for which there exists an -inva…