25 citations · 95 across the 28 of their papers we have counts for
4 papers · 1 filter
Definable sets up to definable bijections in Presburger groups
Raf Cluckers, Immanuel Halupczok
We entirely classify definable sets up to definable bijections in -groups, where the language is the one of ordered abelian groups. From this, we deduce, among others,…
Distributions and wave front sets in the uniform non-archimedean setting
Raf Cluckers, Immanuel Halupczok, François Loeser +1
We study some constructions on distributions in a uniform -adic context, and also in large positive characteristic, using model theoretic methods. We introduce a class of distri…
An Introduction to Motivic Integration
Immanuel Halupczok
These are notes of a series of talks about motivic integration I gave on the Münster Model Theory Month. Readers are assumed to have some basic knowledge of model theory and of val…
Uniform analysis on local fields and applications to orbital integrals
Raf Cluckers, Julia Gordon, Immanuel Halupczok
We study upper bounds, approximations, and limits for functions of motivic exponential class, uniformly in non-Archimedean local fields whose characteristic is or sufficiently…