2 papers
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…
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…