Measure-theoretic sequence entropy pairs and mean sensitivity
Dynamical Systems
2024-05-08 v1
Abstract
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 (-IN-pairs) when the measure is ergodic and the group is abelian.
Keywords
Cite
@article{arxiv.2210.15004,
title = {Measure-theoretic sequence entropy pairs and mean sensitivity},
author = {Felipe García-Ramos and Victor Muñoz-López},
journal= {arXiv preprint arXiv:2210.15004},
year = {2024}
}
Comments
12 pages