Three topics in dynamical systems are discussed. First we deal with cascades and solve two open problems concerning, respectively, product recurrence, and uniformly rigid actions. Next we provide a new example that displays some unexpected properties of strictly ergodic actions of non-amenable groups.
"Three zutot." Topol. Methods Nonlinear Anal. 49 (1) 351 - 358, 2017. https://doi.org/10.12775/TMNA.2016.084