Expanding actions: minimality and ergodicity

Pablo G. Barrientos, Abbas Fakhari, Dominique Malicet, Aliasghar Sarizadeh
2017 Stochastics and Dynamics  
We prove that every expanding minimal semigroup action of C^1 diffeomorphisms of a compact manifold (resp. C^1+α conformal) is robustly minimal (resp. ergodic with respect to Lebesgue measure). We also show how, locally, a blending region yields the robustness of the minimality and implies ergodicity.
doi:10.1142/s0219493717500319 fatcat:ajq2zdychzdbfjtdz5qzuyp6ja