4 papers
Coordinate recognition: General theory, Groups, and other surprises
I. Farah, K. Gannon, P. Touchard
A class of structures \emph{recognizes coordinates} if any reduced product of structures from said class witnesses a certain kind of rigidity phenomenon. We provide several equival…
Upside down and backwards
Kyle Gannon, Tomasz Rzepecki
We investigate the semigroup of invariant types through the lens of Ellis theory; primarily focusing on definably amenable NIP groups. In this context, we observe that the collecti…
Convolution semigroups for automorphism dynamics
Kyle Gannon, Daniel Max Hoffmann, Krzysztof KrupiÅski
Initially motivated by Hrushovski's paper on definability patterns, we obtain homeomorphisms between Ellis semigroups related to natural actions of the automorphism groups of first…
Definable convolution and idempotent Keisler measures III. Generic stability, generic transitivity, and revised Newelski's conjecture
Artem Chernikov, Kyle Gannon, Krzysztof KrupiÅski
We study idempotent measures and the structure of the convolution semigroups of measures over definable groups. We isolate the property of generic transitivity and demonstrate that…