21 citations · 55 across the 14 of their papers we have counts for
17 papers
Beta distribution and associated Stirling numbers of the second kind
Jakub Gismatullin, Patrick Tardivel
This article gives a formula for associated Stirling numbers of the second kind based on the moment of a sum of independent random variables having a beta distribution. From this f…
On simple groups definable in some valued fields
Jakub Gismatullin, Immanuel Halupczok, Dugald Macpherson
We prove that non-abelian definable, definably simple groups in 1-h-minimal henselian valued fields are essentially already linear algebraic groups. Here, the group is assumed to l…
On binomials and algebraic closure of some pseudofinite fields
Jakub Gismatullin, Katarzyna Tarasek
We give a criterion when a polynomial is irreducible over a pseudofinite field. As an application we give an explicit description of algebraic closure of some pseudofinite…
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…
Metric ultraproducts of groups -- simplicity, perfectness and torsion
Jakub Gismatullin, Krzysztof Majcher, Martin Ziegler
We characterise the simplicity of metric ultraproducts of a family of metric groups. We also present several new examples of simple groups, such as metric ultraproducts of finite a…
On Dual surjunctivity and applications
Michal Doucha, Jakub Gismatullin
We explore the dual version of Gottschalk's conjecture recently introduced by Capobianco, Kari, and Taati, and the notion of dual surjunctivity in general. We show that dual surjun…