1 citations · 1 across the 5 of their papers we have counts for
8 papers
An exposition on the supersimplicity of certain expansions of the additive group of the integers
Amador Martin-Pizarro, Daniel PalacÃn
In this short note, we present a self-contained exposition of the supersimplicity of certain expansions of the additive group of the integers, such as adding a generic predicate (d…
Supersimplicity and arithmetic progressions
Amador Martin-Pizarro, Daniel PalacÃn
The main motivation for this article is to explore the connections between the existence of certain combinatorial patterns (as in van der Corputs's theorem on arithmetic progressio…
Model theory, differential algebra and functional transcendence
Amador Martin-Pizarro
The goal of this text is to exhibit some of the ideas and methods from geometric model theory, translated to the particular context of differentially closed fields, exhibiting in a…
Stability, corners, and other 2-dimensional shapes
Amador Martin-Pizarro, Daniel Palacin, Julia Wolf
We introduce a relaxation of stability, called almost sure stability, which is insensitive to perturbations by subsets of Loeb measure in a non-standard finite group. We show t…
Forking independence in differentially closed fields of positive characteristic
Piotr Kowalski, Omar León Sánchez, Amador Martin-Pizarro
We provide a differential-algebraic description of forking independence in the stable theory DCF of differentially closed fields of characteristic with -many commu…
Simplicity of the automorphism group of fields with operators
Thomas Blossier, Zoé Chatzidakis, Charlotte Hardouin +1
We adapt a proof of Lascar in order to show the simplicity of the group of automorphisms fixing pointwise all non-generic elements for a class of uncountable models of suitable the…