Directional weak mixing for $\mathbb{Z}^q$-actions
Dynamical Systems
2023-12-12 v4
Abstract
In this paper, we introduce and characterize the concept of directional weak mixing through independence, sequence entropy, the mean ergodic theorem, and other notions. Additionally, we deduce a directional version of the Koopman-von Neumann spectrum mixing theorem. Furthermore, we explore the relation between directional weak mixing and weak mixing.
Keywords
Cite
@article{arxiv.2106.07950,
title = {Directional weak mixing for $\mathbb{Z}^q$-actions},
author = {Chunlin Liu},
journal= {arXiv preprint arXiv:2106.07950},
year = {2023}
}