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math.LO2025
Convolution semigroups for automorphism dynamics
Kyle Gannon, Daniel Max Hoffmann, Krzysztof Krupiński
Initially motivated by Hrushovski's paper on definability patterns, we obtain homeomorphisms between Ellis semigroups related to natural actions of the automorphism groups of first…
math.LO2024
Definable convolution and idempotent Keisler measures III. Generic stability, generic transitivity, and revised Newelski's conjecture
Artem Chernikov, Kyle Gannon, Krzysztof Krupiński
We study idempotent measures and the structure of the convolution semigroups of measures over definable groups. We isolate the property of generic transitivity and demonstrate that…
math.LO2023
Generalized locally compact models for approximate groups
Krzysztof Krupiński, Anand Pillay
We give a proof of the existence of generalized definable locally compact models for arbitrary approximate subgroups via an application of topological dynamics in model theory. Our…