1 citations · 1 across the 8 of their papers we have counts for
9 papers
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. Capiński, 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…
Group actions with almost normal stabilizers
María 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…
On continuum real trees of circle maps and their graphs
Maik Gröger, Sascha Troscheit
The Brownian continuum tree was extensively studied in the 90s as a universal random metric space. One construction obtains the continuum tree by a change of metric from an excursi…
Measures and stabilizers of group Cantor actions
Maik Gröger, Olga Lukina
We consider a minimal equicontinuous action of a finitely generated group on a Cantor set with invariant probability measure , and stabilizers of points for such an acti…
Hyperbolic graphs: critical regularity and box dimension
Lorenzo J. Díaz, Katrin Gelfert, Maik Gröger +1
We study fractal properties of invariant graphs of hyperbolic and partially hyperbolic skew product diffeomorphisms in dimension three. We describe the critical (either Lipschitz o…
Some remarks on modified power entropy
M. Gröger, T. Jäger
The aim of this note is to point out some observations concerning modified power entropy of - and -actions. First, we provide an elementary example showing that this quanti…
Dimensions of attractors in pinched skew products
M. Gröger, T. Jäger
We study dimensions of strange non-chaotic attractors and their associated physical measures in so-called pinched skew products, introduced by Grebogi and his coworkers in 1984. Ou…