2 problems

Let $(X,G)$ be a topological dynamical system with $G$ amenable, and let $\mathcal{F}$ be a Følner sequence in $G$. A $K$-tuple $(x_k)_{k=1}^K\in X^K$ is mean-sensitive along…

Let $(X,G)$ be a minimal topological dynamical system, where $G$ is an amenable group, and let $\pi_{eq}:X\to X_{eq}$ be the factor map to the maximal equicontinuous factor. Suppos…