3 citations · 14 across the 15 of their papers we have counts for
22 papers
Invariant measures in simple and in small theories
Artem Chernikov, Ehud Hrushovski, Alex Kruckman +4
We give examples of (i) a simple theory with a formula (with parameters) which does not fork over the empty set but has mu measure 0 for every automorphism invariant Keisler measur…
Bohr compactifications of groups and rings
Jakub Gismatullin, Grzegorz Jagiella, Krzysztof Krupinski
We introduce and study model-theoretic connected components of rings as an analogue of model-theoretic connected components of definable groups. We develop their basic theory and u…
On first order amenability
Ehud Hrushovski, Krzysztof Krupiński, Anand Pillay
We introduce the notion of first order amenability, as a property of a first order theory : every complete type over , in possibly infinitely many variables, extends…
Ramsey theory and topological dynamics for first order theories
Krzysztof Krupinski, Junguk Lee, Slavko Moconja
We investigate interactions between Ramsey theory, topological dynamics, and model theory. We introduce various Ramsey-like properties for first order theories and characterize the…
On the topological dynamics of automorphism groups; a model-theoretic perspective
Krzysztof Krupinski, Anand Pillay
We give a model-theoretic treatment of the fundamental results of Kechris-Pestov-Todorčević theory in the more general context of automorphism groups of not necessarily countable s…
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…