It is known that, for interval maps, zero topological entropy is equivalent with bounded topological sequence entropy as well as with the non-existence of Li–Yorke scrambled triples. In this paper we answer the question how the situation changes when triangular maps of the unit square are concerned instead of interval maps.
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The research was supported by Grant SGS/18/2016 from the Silesian University in Opava. Support of this institution is gratefully acknowledged. The author thanks his supervisor Professor Marta Štefánková for valuable suggestions and comments.
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Pravec, V. On Dynamics of Triangular Maps of the Square with Zero Topological Entropy. Qual. Theory Dyn. Syst. 18, 761–768 (2019). https://doi.org/10.1007/s12346-018-00311-7
- Triangular maps
- Topological entropy
- Topological sequence entropy
- LY-scrambled triple
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