3 papers
math.DS2019
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…
math.DS2017
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…
math.DS2015
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…