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arXiv · 1710.01932

Types of mixings and transitivities in topological dynamics

Dawoud Ahmadi Dastjerdi·Maliheh Dabbaghian Amiri
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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.

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Dawoud Ahmadi Dastjerdi, Maliheh Dabbaghian Amiri. 2017-10-05. Types of mixings and transitivities in topological dynamics. https://arxiv.org/abs/1710.01932

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