Types of mixings and transitivities in topological dynamics
Dynamical Systems
2017-10-06 v1
Abstract
Using the combinatorial properties of subsets of integers, a classification of metric dynamical systems was given in [V. Bergelson and T. Downarowicz, Large sets of integers and hierarchy of mixing properties of measure-preserving systems, Colloquium Mathematicum, 110(1), (2008), 117-150]. As a result, some new families emerged. Here, their counterparts in topological dynamics has been considered. The differences will be discussed and new classes of systems in topological dynamics will be introduced.
Keywords
Cite
@article{arxiv.1710.01932,
title = {Types of mixings and transitivities in topological dynamics},
author = {Dawoud Ahmadi Dastjerdi and Maliheh Dabbaghian Amiri},
journal= {arXiv preprint arXiv:1710.01932},
year = {2017}
}