3 citations · 3 across the 3 of their papers we have counts for
4 papers
A Pila--Wilkie theorem for Hensel minimal curves
Victoria Cantoral-Farfán, Kien Huu Nguyen, Mathias Stout +1
Recently, a new axiomatic framework for tameness in henselian valued fields was developed by Cluckers, Halupczok, Rideau-Kikuchi and Vermeulen and termed Hensel minimality. In this…
Approximating parametric suprema for constructible and power-constructible functions
Tijs Buggenhout, Mathias Stout, Lisa Vandebrouck
We prove that one may approximate parametric suprema of constructible and power-constructible functions using functions within the same class. This resolves a conjecture by Adiceam…
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…
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…