The research will be focused on extensions of recent works on dynamical properties of so called B-free systems to the multidimensional case. The typical example of such Zd-action is given by characteristic function of visible points in Z2, i.e. points whose both coordinates are coprime.

• Michael Baake (University of Bielefeld)
• Alexandre Danilenko (National Academy of Sciences of Ukraine)
• Christian Huck (University of Bielefeld)
• Mariusz Lemańczyk (Nicolaus Copernicus University, Torun & Aix-Marseille Université)