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approximate groups 1definable groups 1Ellis groups 1generic subsets 1locally compact models 1topological dynamics 1

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math.LO2026

Generalized locally compact models for approximate groups

Krzysztof Krupiński, Anand Pillay

The paper gives a simpler proof that every approximate subgroup has a generalized definable locally compact model, using basic model‑theoretic tools and Ellis groups from topologic…

math.LO2024

An analytic version of stable arithmetic regularity

Gabriel Conant, Anand Pillay

We prove a structure theorem for stable functions on amenable groups, which extends the arithmetic regularity lemma for stable subsets of finite groups. Given a group , a functi…