English

The McMahon pseudo-metrics of minimal semiflows with invariant measures

Dynamical Systems 2019-04-18 v3

Abstract

Using McMahon pseudo-metrics, for any minimal semiflow admitting an invariant measure, we study the relationships between its equicontinuous structure relation, regionally proximal relation and Veech's relations; and characterize its weak-mixing. We show its Veech Structure Theorem if it is almost automorphic.

Keywords

Cite

@article{arxiv.1806.09305,
  title  = {The McMahon pseudo-metrics of minimal semiflows with invariant measures},
  author = {Xiongping Dai},
  journal= {arXiv preprint arXiv:1806.09305},
  year   = {2019}
}

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24 pages