101 citations · 260 across the 46 of their papers we have counts for
56 papers
Globally valued fields: foundations
Itaï Ben Yaacov, Pablo Destic, Ehud Hrushovski +1
We present foundations for globally valued fields, a class of enriched fields capturing some aspects of the geometry of global fields, based on the product formula. We show that th…
Approximate equivalence relations
Ehud Hrushovski
We study approximate equivalence relations up to commensurability, in the presence of a definable measure. As a basic framework, we give a presentation of probability logic based o…
Lang-Weil Type Estimates in Finite Difference Fields
Martin Hils, Ehud Hrushovski, Jinhe Ye +1
We prove a uniform estimate of the number of points for difference algebraic varieties in finite difference fields in the spirit of Lang-Weil. More precisely, we give uniform lower…
Model Equivalences
Michael Benedikt, Ehud Hrushovski
We look at equivalence relations on the set of models of a theory -- MERs, for short -- such that the class of equivalent pairs is itself an elementary class, in a language appropr…
Imaginaries, products and the adele ring
Jamshid Derakhshan, Ehud Hrushovski
We describe the imaginary sorts of infinite products in terms of imaginary sorts of the factors. We extend the result to certain reduced powers and then to infinite products $\prod…
Compactifications of pseudofinite and pseudo-amenable groups
Gabriel Conant, Ehud Hrushovski, Anand Pillay
We first give simplified and corrected accounts of some results in \cite{PiRCP} on compactifications of pseudofinite groups. For instance, we use a classical theorem of Turing \cit…