most citedA Pila--Wilkie theorem for Hensel minimal curves

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math.LO2026

The Grothendieck ring of a non-divisible ordered abelian group is trivial

Blaise Boissonneau, Mathias Stout, Floris Vermeulen

We consider the model-theoretic Grothendieck ring of definable sets in ordered abelian groups. It is well-known that and $\mat…

math.LO2025

Integration in Hensel minimal fields

Mathias Stout, Floris Vermeulen

We develop a framework of motivic integration in the style of Hrushovski--Kazhdan in arbitrary Hensel minimal fields of equicharacteristic zero. Hence our work generalizes that of…

math.LO2024

Almost real closed fields with real analytic structure

Kien Huu Nguyen, Mathias Stout, Floris Vermeulen

Cluckers and Lipshitz have shown that real closed fields equipped with real analytic structure are o-minimal. This generalizes the well-known subanalytic structure $\mathbb{R}_{\ma…