Anand Pillay

activity

20132024

most citedA group version of stable regularity

25 citations · 32 across the 4 of their papers we have counts for

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3 papers · 1 filter

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 $G$ , 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…

math.LO2017★ 25 cited

A group version of stable regularity

G. Conant, A. Pillay, C. Terry

We prove that, given $ε > 0$ and $k \geq 1$ , there is an integer $n$ such that the following holds. Suppose $G$ is a finite group and $A \subseteq G$ is $k$ -stable. Then there is a nor…