Broken family sensitivity in transitive systems

Jian Li, Yini Yang

Let $(X,T)$ be a topological dynamical system, $n\ge 2$ and $\mathcal{F}$ be a Furstenberg family of subsets of ${\mathbb{Z}}_{+}$. $(X,T)$ is called broken $\mathcal{F}$-$n$-sensitiv…