101 citations · 260 across the 46 of their papers we have counts for
5 papers · 1 filter
Non-archimedean integrals as limits of complex integrals
A. Ducros, E. Hrushovski, F. Loeser
We explain how non-archimedean integrals considered by Chambert-Loir and Ducros naturally arise in asymptotics of families of complex integrals. To perform this analysis we work ov…
Definability patterns and their symmetries
Ehud Hrushovski
We identify a canonical structure J associated to any first-order theory, the {\it space of definability patterns}. It generalizes the imaginary algebraic closure in a stable theor…
Ax's theorem with an additive character
Ehud Hrushovski
Motivated by Emmanuel Kowalski's exponential sums over definable sets in finite fields, we generalize Ax's theorem on pseudo-finite fields to a continuous-logic setting allowing fo…
Non-locally modular regular types in classifiable theories
Elisabeth Bouscaren, Bradd Hart, Ehud Hrushovski +1
We introduce the notion of strong -semi-regularity and show that if is a regular type which is not locally modular then any -semi-regular type is strongly -semi-regula…
Amenability, connected components, and definable actions
Ehud Hrushovski, Krzysztof Krupiński, Anand Pillay
We study amenability of definable and topological groups. Among our main technical tools is an elaboration on and strengthening of the Massicot-Wagner version of the stabilizer the…