English

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 (μ\mu-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

R2 v1 2026-06-28T04:35:56.137Z