$\Delta$-Weakly Mixing Subset In Positive Entropy Actions Of A Nilpotent Group
Dynamical Systems
2019-05-23 v1
Abstract
The notion of -weakly mixing subsets is introduced for countable torsion-free discrete group actions. It is shown that for a finitely generated torsion-free discrete nilpotent group action, positive topological entropy implies the existence of -weakly mixing subsets, and while there exists a finitely generated torsion-free discrete solvable group action which has positive topological entropy but without any -weakly mixing subsets.
Keywords
Cite
@article{arxiv.1905.08934,
title = {$\Delta$-Weakly Mixing Subset In Positive Entropy Actions Of A Nilpotent Group},
author = {Kairan Liu},
journal= {arXiv preprint arXiv:1905.08934},
year = {2019}
}