Localization of mixing property via Furstenberg families

Jian Li

doi:10.3934/dcds.2015.35.725

Localization of mixing property via Furstenberg families

Dynamical Systems 2014-10-01 v1

Authors: Jian Li

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Abstract

This paper is devoted to studying the localization of mixing property via Furstenberg families. It is shown that there exists some $\mathscr{F}_{pubd}$ -mixing set in every dynamical system with positive entropy, and some $\mathscr{F}_{ps}$ -mixing set in every non-PI minimal system.

Keywords

mixing property Furstenberg families dynamical systems positive entropy minimal systems non-PI systems localization

Cite

@article{arxiv.1409.8452,
  title  = {Localization of mixing property via Furstenberg families},
  author = {Jian Li},
  journal= {arXiv preprint arXiv:1409.8452},
  year   = {2014}
}

Comments

16 pages

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