4 citations · 4 across the 7 of their papers we have counts for
7 papers
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…
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…
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…
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…
Matsuo algebras in characteristic 2
Tom De Medts, Mathias Stout
We extend the theory of Matsuo algebras, which are certain non-associative algebras related to 3-transposition groups, to characteristic 2. Instead of idempotent elements associate…
Existential uniform -adic integration and descent for integrability and largest poles
Raf Cluckers, Mathias Stout
Since the work by Denef, -adic cell decomposition provides a well-established method to study -adic and motivic integrals. In this paper, we present a variant of this method…
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…