4 papers
Group actions with almost normal stabilizers
MarÃa Isabel Cortez, Maik Gröger, Olga Lukina
In this paper, we consider minimal group actions of countable groups on compact Hausdorff spaces by homeomorphisms. We show that the existence of a point with finite stabilizer imp…
Tameness, nullness, and amorphic complexity of automatic systems
Maik Gröger, Elżbieta Krawczyk
In topological dynamics, tame and null systems arise naturally in the study of low-complexity aperiodic behaviour, yet providing concrete and easily testable conditions to establis…
Dimension gap and phase transition for one-dimensional random walks with reflective boundary
Maik Gröger, Johannes Jaerisch, Marc Kesseböhmer
We study - and -extensions of interval maps with at most countably many full branches modelling one-dimensional random walks without and with a reflective bou…
Conditions Implying Annular Chaos: Quantitative results and Computer Assisted Proofs
M. J. CapiÅski, M. Gröger, A. Passeggi +1
We derive quantitative sufficient conditions for rotational chaos and diffusion in annular homeomorphisms, building on the topological criteria established in [31]. These condition…