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math.LO2025
Modeling FO-limits for monadically stable sequences
Samuel Braunfeld, S. Braunfeld, Jaroslav Nešetřil +3
We show that given a monadically stable theory , a sufficiently saturated , and a coherent system of probability measures on the -algebras generated by p…
math.LO2024
When invariance implies exchangeability (and applications to invariant Keisler measures)
Samuel Braunfeld, Colin Jahel, Paolo Marimon
We study the problem of when, given a countable homogeneous structure and a space of expansions of , every -invariant probability measure on is exch…
math.LO2023
Monadic NIP in monotone classes of relational structures
Samuel Braunfeld, Anuj Dawar, Ioannis Eleftheriadis +1
We prove that for any monotone class of finite relational structures, the first-order theory of the class is NIP in the sense of stability theory if, and only if, the collection of…