A note about various types of sensitivity in general semiflows

Alica Miller

Abstract

We discuss the implications between various types of sensitivity in general semiflows (sensitivity, syndetic sensitivity, thick sensitivity, thick syndetic sensitivity, multisensitivity, periodic sensitivity, thick periodic sensitivity), including the weak mixing as a very strong type of sensitivity and the strong mixing as the strongest of all type of sensitivity.


Keywords

Sensitivity; strong mixing; weak mixing; strong sensitivity; multisensitivity; syndetic sensitivity; thick sensitivity; thick syndetic sensitivity; periodic sensitivity; thick periodic sensitivity

Subject classification

Primary 54H15, 20M20; Secondary 54H20

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References

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1. Relationship among several types of sensitivity in general semi-flows
Xinxing Wu, Xu Zhang
Semigroup Forum  vol: 101  issue: 1  first page: 226  year: 2020  
doi: 10.1007/s00233-019-10072-7



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Universitat Politècnica de València

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