Measure-theoretic sequence entropy pairs and mean sensitivity
We characterize measure-theoretic sequence entropy pairs of continuous abelian group actions using mean sensitivity. This solves an open question mentioned by Li and Yu. As a consequence of our results we provide a simpler characterization of Kerr and Li's independence sequence entropy pairs ($μ$-IN-pairs) when the measure is ergodic and the group is abelian.
math.DS↗