8 citations · 9 across the 6 of their papers we have counts for
4 papers · 1 filter
Analytic cell decomposition and analytic motivic integration
R. Cluckers, L. Lipshitz, Z. Robinson
The main results of this paper are a Cell Decomposition Theorem for Henselian valued fields with analytic structure in an analytic Denef-Pas language, and its application to analyt…
Ax-Kochen-Er{š}ov Theorems for -adic integrals and motivic integration
R. Cluckers, F. Loeser
This survey paper, to appear in he proceedings of the Miami Winter School ``Geometric Methods in Algebra and Number Theory'', is concerned with extending classical results à la Ax-…
Fonctions constructibles et intégration motivique II
R. Cluckers, F. Loeser
We extend the formalism of I to a global setting for which a theorem on fiber integrals and a Fubini theorem are obtained. We compare our formalism to the previous constructions of…
Fonctions constructibles et intégration motivique I
R. Cluckers, F. Loeser
We introduce a direct image formalism for constructible motivic functions. One deduces a very general version of motivic integration for which a change of variables theorem is prov…